Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 85 and a standard deviation of 20. Use the 68-95-99. 7 rule to find the following quantities

Answers

Answer 1

the percentage 68% value is calculated by adding 85 and 20, or 70; the 95% value is calculated by adding 85 and 40, or 115; and the 99.7% value is calculated by adding 85 and 60, or 150.

68%: 70

95%: 115

99.7%: 150

The 68-95-99.7 rule is used to estimate the percentage of a population that falls within a certain range of values when the data is normally distributed. The rule states that 68% of the population falls within one standard deviation of the mean, 95% within two standard deviations, and 99.7% within three standard deviations. To find the percentages, we subtract the mean (85) from the corresponding standard deviation (20, 40, and 60, respectively) and add the result to the mean. Thus, the 68% value is calculated by adding 85 and 20, or 70; the 95% value is calculated by adding 85 and 40, or 115; and the 99.7% value is calculated by adding 85 and 60, or 150.

the complete question is :

Assume the resting heart rates for a sample of individuals are normally distributed with a mean of 85 and a standard deviation of 20. Use the 68-95-99.7 rule to find the following quantities:

1.The percentage of individuals with resting heart rates between 65 and 105.

2.The percentage of individuals with resting heart rates above 125.

3.The range of resting heart rates that includes the middle 95% of the individuals in the sample.

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Related Questions

Widmer Company had gross wages of $350,000 during the week ended June 17. The amount of wages subject to social security tax was $350,000, while the amount of wages subject to federal and state unemployment taxes was $52,500. Tax rates are as follows:
Line Item Description Percentage
Social security 6. 0%
Medicare 1. 5%
State unemployment 5. 4%
Federal unemployment 0. 8%
The total amount withheld from employee wages for federal taxes was $70,000

Answers

The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000, Social security tax =$21,000 , Medicare tax = $5,250 , State unemployment tax =$2,835 , Federal unemployment tax =  $420 and Total taxes = $29,505 .

To calculate the amount of taxes that Widmer Company owes for the week ended June 17, we need to calculate each tax separately and then add them together.

 

First, let's calculate the social security tax. The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000. So:

Social security tax = 6.0% x $350,000 = $21,000

Next, let's calculate the Medicare tax. The tax rate for Medicare is 1.5%, and the amount of wages subject to this tax is also $350,000. So:

Medicare tax = 1.5% x $350,000 = $5,250

Now let's calculate the state unemployment tax. The tax rate for state unemployment is 5.4%, and the amount of wages subject to this tax is $52,500. So:

State unemployment tax = 5.4% x $52,500 = $2,835

Finally, let's calculate the federal unemployment tax. The tax rate for federal unemployment is 0.8%, and the amount of wages subject to this tax is also $52,500. So:

Federal unemployment tax = 0.8% x $52,500 = $420

Now let's add up all of the taxes:

Total taxes = Social security tax + Medicare tax + State unemployment tax + Federal unemployment tax

Total taxes = $21,000 + $5,250 + $2,835 + $420

Total taxes = $29,505

This means that Widmer Company owes $29,505 in taxes for the week ended June 17.

Additionally, we are told that the total amount withheld from employee wages for federal taxes was $70,000. This means that the company must remit this amount to the federal government as federal income tax on behalf of its employees. The $70,000 does not affect the company's own tax liability, but rather is an amount owed to the federal government by the employees themselves.

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please help!! If I roll a dice, flip a coin, and then pull a card out of the deck; what are the odds that I roll an even number, get tail, AND I pull a red card out of the deck?

Answers

Therefore, the odds of rolling an even number, getting a tail, and pulling a red card are 1 in 8 or 1/8.

What is probability?

Probability is a branch of mathematics that deals with the study of randomness and uncertainty in events. It involves calculating the likelihood or chance of an event occurring based on the available information and assumptions. Probability is commonly used in many fields, including science, engineering, finance, and statistics. The probability of an event is a number between 0 and 1, where 0 means the event is impossible, and 1 means the event is certain.

Here,

The probability of rolling an even number on a fair six-sided dice is 3/6 or 1/2. The probability of flipping a tail on a fair coin is 1/2. The probability of pulling a red card out of a standard deck of 52 playing cards is 26/52 or 1/2 (assuming the deck is well shuffled).

To find the probability of all three events occurring together, we multiply the probabilities of each individual event:

=P(rolling an even number) x P(getting tail) x P(pulling a red card)

= 1/2 x 1/2 x 1/2

= 1/8

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Please someone answer this

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The expression of radicals [tex]\sqrt{a + b}[/tex] = √a + √b is not possible because they have different root number.

What are radicals?

A Radical is described as the symbol, '√'  that is used to denote square root or nth roots.

Also, radical Expression is described as the radical expression  containing a square root.

The rules in addition and subtraction of radicals are;

Only radicals with the same root number can be added or subtracted from each other. If the radicals in a question are unlike, you won't be able to combine them together.All exponents in the radicand must be less than the index.Any exponents in the radicand can have no factors in common with the index.No fractions appear under a radical.

From the information given, we have that;

a ≠b

So, for the expression;

[tex]\sqrt{a + b}[/tex] = √a + √b,. it is not feasible

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A bycicle wheel whose radius is 30 cm covered distance in 70 revolutions how many km was the distance​

Answers

Answer:

0.13188 km

Step-by-step explanation:

The distance covered by the bicycle wheel can be calculated using the formula:

distance = circumference x number of revolutions

The circumference of the wheel can be calculated using the formula:

circumference = 2 x pi x radius

where pi is approximately equal to 3.14.

Substituting the given values:

circumference = 2 x 3.14 x 30 cm

circumference = 188.4 cm

Now, we can calculate the distance covered by the wheel:

distance = circumference x number of revolutions

distance = 188.4 cm x 70

distance = 13188 cm

To convert this distance from centimeters to kilometers, we need to divide by 100,000 (since there are 100,000 centimeters in a kilometer):

distance = 13188 cm ÷ 100,000

distance = 0.13188 km

Therefore, the distance covered by the bicycle wheel is approximately 0.13188 km.

what is the value of x?​

Answers

Answer:3

Step-by-step explanation: becuase the big one was 40 and the smaller one was four, so it is probably 3

please help i have until saturday

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The height of the square pyramid with the given slant height base base length is found as:  91.17 in.

Explain about the square pyramid?

A square pyramid is really a pyramid with only a square base. A pentahedron, that is. With a base and three triangle sides, a pyramid is a 3D shape.

A square base is what a pyramid with a square base is built upon. A great illustration of a square-based pyramid is the Egyptian pyramid complex.

A right square pyramid with side length a with height h has lateral edge length e as well as slant height s.

Given data:

Slant height s = 91.8 in.

Height H  = ?

Base length a = 21.4 in.

Slant height s formula is:

s² = H² + 1/4 a²

H² =  s² - 1/4 a²

H² =  91.8² - 1/4 *(21.4)²

H = √8312.75

H = 91.17 in.

Thus, the height of the square pyramid with the given slant height and base length is found as:  91.17 in.

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The height of the square pyramid with the given slant height base base length is about 91.2 in. to one decimal place

What is a square  pyramid?

A square pyramid is a polyhedron that has a square base and four lateral faces that meet at a point above the base (e.g. the apex)

The given parameters to solve the question are given as follows

Slant height s = 91.8 in.

Height H  = ?

Base length a = 21.4 in.

Slant height s formula is: s² = H² + 1/4 a²

H² =  s² - 1/4 a²

By substitution into the formula we have

H² =  91.8² - 1/4 *(21.4)²

H = √8312.75

H = 91.17 in.

Thus, the height of the square pyramid with the given slant height and base length is found as:  91.2 in.

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can yall pls help me with this I will be so happy if you do!

Answers

Answer:

Step-by-step explanation:

I changed it v to X because it's more convenient for me, but please write "v" so don't forget!

Please help with explanation and steps on how to solve this kind of problem. Two Tangents to a Circle Theorem 2, Solve for x?

Answers

Answer:

  x = 12

Step-by-step explanation:

You want to know the value of x when two tangents from the same point to the same circle are marked (4x-7) and (2x+17).

Tangents

Tangents to a circle from a common point are the same length:

  4x -7 = 2x +17

  2x = 24 . . . . . . . . add 7-2x

  x = 12 . . . . . . . divide by 2

Use inductive reasoning to describe the pattern. Then find the next two numbers in the pattern. –3, 9, –27, 81, . . .

Answers

Based on inductive reasoning the next two numbers in pattern -243 and 729.

Based on inductive reasoning:

The given pattern seems to be based on multiplication by -3. Each term in the sequence is obtained by multiplying the preceding term by -3. Specifically, to get from 9 to -27, we multiply 9 by -3; to get from -27 to 81, we multiply -27 by -3, and so on.

Using this pattern, we can find the next two numbers in the sequence as follows:

To find the 5th term, we need to multiply the 4th term (81) by -3. Thus, the 5th term will be -243.

To find the 6th term, we need to multiply the 5th term (-243) by -3. Thus, the 6th term will be 729.

The next two numbers in the pattern are -243 and 729.

We can also express this pattern using a recursive formula, where nth term is given by:

an = -3 * an-1, where a1 = -3.

Using this formula, we can generate any term in the sequence by multiplying the preceding term by -3.

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The ratio of apples to bananas in a bowl of fruit is 2 to
3. If there are 12 apples in the bowl, then how many
bananas are there?

Answers

Answer:18

Step-by-step explanation:

2x=12

3x=?
2x/2=12/2= x=6

3(6)=18

Which side lengths form a right triangle?

A) 3, [tex]\sqrt{9}[/tex], [tex]\sqrt{18}[/tex]
B) 3, 4, 5
C) 7, 7, [tex]\sqrt{98}[/tex]

Answers

Only option B) 3, 4, and 5 forms a right triangle.

What is the Pythagorean theorem?

In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This is known as the Pythagorean theorem.

So, to check which set of side lengths form a right triangle, we need to see if they satisfy this condition.

A) 3, √9,√18:

√9 is equal to 3, so we have the side lengths 3, 3√2.

Using the Pythagorean theorem:

(3)² + (3√2)² = 9 + 18 = 27

However, (√18)² is also equal to 18, so the set of side lengths can also be written as 3, 3√2, √18.

Using the Pythagorean theorem again:

(3)² + (3√2)² = 9 + 18 = 27

and (3)² + (√18)² = 9 + 18 = 27

So, we have two sides that can form a right triangle, but not all three.

B) 3, 4, 5:

Using the Pythagorean theorem:

(3)² + (4)² = 9 + 16 = 25

Since 5² is also equal to 25, these side lengths form a right triangle.

C) 7, 7, √98:

√98 can be simplified as 7√2. So, we have the side lengths 7, 7, 7√2.

Using the Pythagorean theorem:

(7)² + (7)² = 98

and (7)² + (7√2)² = 343 + 98 = 441

So, we don't have a right triangle in this case.

Therefore, only option B) 3, 4, and 5 forms a right triangle.

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The first and third term of a geometric progression (GP) are 2 and 2/9 respectively, find the common ratio and the fifth term

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The common ratio is 1/3 and the fifth term of a geometric progression (GP) is 2/81 if the first and third terms of the GP are 2 and 2/9, respectively.

Let's call the common ratio of the GP "r".

We know that the first term of the GP is 2, so:

a₁ = 2

We also know that the third term of the GP is 2/9, so:

a₃ = 2/9

We can write the following using the nth term of a GP formula:

a₃ = a₁ * r²

Substituting the values we know, we get:

2/9 = 2 * r²

Dividing both sides by 2, we get:

1/9 = r²

Taking the square root of both sides (and remembering that r must be positive since it's a common ratio), we get:

r = 1/3

Now we can find the fifth term of the GP using the formula:

a₅ = a₁ * r⁴

Substituting the values we know, we get:

a₅ = 2 * (1/3)⁴

a₅ = 2 * (1/81)

a₅ = 2/81

Therefore, the common ratio is 1/3 and the fifth term of the GP is 2/81.

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ZC and ZD are vertical angles with mzC = -3x + 58 and m/D = x - 2.
what is the value of m/D
enter your answer in the box. enter only the num erical value ( do not enter units)​

Answers

The measure of [tex]\angle D[/tex] is 13.

What are vertical angles?

Vertical angles are formed when two lines meet each other at a point. They are always equal to each other.

given:

[tex]m\angle C=-3x+58[/tex] and [tex]m\angle D=x-2[/tex]

As, [tex]\angle C[/tex] and [tex]\angle D[/tex] are vertical angles

so,

[tex]m\angle C= m\angle D[/tex]

[tex]-3x+58 = x-2[/tex]

[tex]-3x -x = -2-58[/tex]

[tex]-4x = -60[/tex]

[tex]x= 15[/tex]

So, [tex]m\angle D= x-2= 15-2 = 13[/tex]

Hence, the value of [tex]m\angle D[/tex] is 13.

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due to the long distance and limited capacity, nm must place the order 6 months in advance. a detailed analysis of past data shows that if forecasting 6 month in advance, the number of bags sold can be described by a normal distribution, with mean 150 and standard deviation 60. what is the optimal number of bags to purchase?

Answers

The optimal number of bags to purchase is 174 bags.

To determine the optimal number of bags to purchase, we need to consider the trade-off between the cost of holding excess inventory and the cost of not having enough inventory to meet demand.

Let's assume that the cost of holding one bag of inventory for six months is $2.00, and the cost of not having one bag available when needed is $10.00.

We can use the normal distribution to estimate the probability of demand exceeding our inventory level. If we assume that demand follows a normal distribution with mean 150 and standard deviation 60, then we can calculate the probability of running out of inventory as

P(demand > inventory) = P(Z > (inventory - mean) / std_dev)

P(demand > inventory) = P(Z > (inventory - 150) / 60)

where Z is the standard normal random variable.

We want to choose the inventory level that minimizes the expected total cost, which is the sum of the cost of holding inventory and the cost of not having enough inventory

Expected total cost = cost of holding inventory + cost of not having enough inventory

Expected total cost = (inventory * $2.00) + (P(demand > inventory) * $10.00)

To minimize this cost, we need to find the inventory level that makes the expected total cost as low as possible. We can use calculus to find the minimum expected total cost.

Taking the derivative of the expected total cost with respect to the inventory level, we get

d/d(inventory) (Expected total cost) = $2.00 - ($10.00 * (1 / sqrt(2 * pi)) * exp(-(inventory - 150)^2 / (2 * 60^2)) * (inventory - 150) / 60)

Setting this derivative equal to zero and solving for the inventory level, we get

$2.00 - ($10.00 * (1 / sqrt(2 * pi)) * exp(-(inventory - 150)^2 / (2 * 60^2)) * (inventory - 150) / 60) = 0

Simplifying this equation, we get

exp(-(inventory - 150)^2 / (2 * 60^2)) * (inventory - 150) / 60 = 0.2

Using a numerical solver or a table of values for the standard normal distribution, we can find that the inventory level that minimizes the expected total cost is approximately 174 bags.

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Please im really stuck (dont do bonus)

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Step 1: Corresponding sides, AB = 2 units, BC = √(13) units, AC = 3 units, A'B'= 4 units, B'C' = √(52) units, C'A' = 6 units. Step 2: scale factor of dilation is 2. Bonus: 2√(13) units.

Describe Dilation?

Dilation can be performed with respect to a fixed point called the center of dilation, or with respect to a fixed line called the line of dilation. When dilation is performed with respect to a point, the distance between the center of dilation and every point on the object is multiplied by the same scale factor. When dilation is performed with respect to a line, the distance between every point on the object and the line of dilation is multiplied by the same scale factor.

Step 1: Comparing corresponding sides

AB = distance between A(2,3) and B(2,1) = 2 units

BC = distance between B(2,1) and C(5,3) = √((5-2)² + (3-1)²) = √(9+4) = √(13) units

AC = distance between A(2,3) and C(5,3) = 3 units

A'B' = distance between A'(-4,-1) and B'(-4,-5) = 4 units

B'C' = distance between B'(-4,-5) and C'(2,-1) = √((-4-2)² + (-5+1)²) = √(36+16) = √(52) units

C'A' = distance between C'(2,-1) and A'(-4,-1) = 6 units

Step 2: Finding the scale factor

To find the scale factor, we need to divide the length of each corresponding side in triangle A'B'C' by the length of the corresponding side in triangle ABC. This gives us:

Scale factor = A'B' / AB = 4/2 = 2

So, the scale factor of dilation is 2.

Bonus: Finding the length of BC and B'C'

To find the length of BC and B'C', we can use the distance formula.

The length of BC = √((5-2)² + (3-1)²) = √(13) units.

The length of B'C' = √((-4-2)² + (-5+1)²) = √(52) units.

Alternatively, we could also use the scale factor to find the length of B'C':

B'C' = BC x scale factor = √(13) x 2 = 2√(13) units.

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Drag the parts of the expression that correspond to the descriptions.
(4y + 8) ÷ 6 – 12 added to
44y + 8(4y + 8) ÷ 68612
Variable
y
Sum
(4y + 8) ÷ 6 – 12
Quotient
Coefficient

Answers

Variable: y

Sum: (4y + 8) ÷ 6 – 12

Quotient: (4y + 8) ÷ 6

Coefficient: 44 (in 44y)

True or False: (1, -1) is a solution to the inequality y _> -4x + 6

Answers

Answer: False

Step-by-step explanation:

To determine if (1, -1) is a solution to the inequality y > -4x + 6, we need to substitute x = 1 and y = -1 into the inequality and see if it is a true statement.

-4(1) + 6 = 2, so the inequality becomes -1 > 2.

This is false, so (1, -1) is not a solution to the inequality y > -4x + 6.

Therefore, the statement is False.

In the pentagon shown below, the ratio of the size of
angle DEA to the size of angle CDE is 5 2. The ratio
of the size of angle EAB to the size of angle ABC is
4:3.
What is the size of angle EAB?
Give your answer in degrees.
D
50°
A
106°
B
C
Not drawn accurately

Answers

The size of angle EAB is approximately 70.76 degrees.

What is triangle?

A triangle is a three-sided polygon with three angles. It is a fundamental geometric shape and is often used in geometry and trigonometry.

Let's start with the ratio of the size of angle DEA to the size of angle CDE. We can express this ratio as:

angle DEA : angle CDE = 5 : 2

We know that the sum of the angles in a triangle is 180 degrees, so we can use this fact to express angle DEA and angle CDE in terms of angle ABD:

angle DEA + angle CDE + angle ABD = 180

Substituting the ratio given above, we get:

5x + 2x + angle ABD = 180

Simplifying, we get:

7x + angle ABD = 180

Next, let's consider the ratio of the size of angle EAB to the size of angle ABC, which is given as 4:3. We can express this ratio as:

angle EAB : angle ABC = 4 : 3

We know that angle EAB and angle ABC are adjacent angles, so their sum is equal to angle ABD:

angle EAB + angle ABC = angle ABD

Substituting the ratio given above, we get:

4y + 3y = angle ABD

Simplifying, we get:

7y = angle ABD

Now we have two equations:

7x + angle ABD = 180

7y = angle ABD

We can substitute the second equation into the first to get an equation in terms of y:

7x + 7y = 180

Simplifying, we get:

x + y = 25.71

Now we can use the ratio of angle EAB to angle ABC to find y:

angle EAB : angle ABC = 4 : 3

4y : 3y = 4 : 3

Simplifying, we get:

4y = 3(106 - angle EAB)

Expanding, we get:

4y = 318 - 3angle EAB

Substituting the equation we found for y above, we get:

4(25.71 - x) = 318 - 3angle EAB

Simplifying, we get:

angle EAB = 70.76

Therefore, the size of angle EAB is approximately 70.76 degrees.

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According to the records of an insurance company, the payouts on insurance cases in February were $12,400. In March, the payouts increased by 8.5% and then dropped by 5% in April. Find the amount of the payouts in April.​

Answers

Let the amount of payouts in March be M.

From the problem, we know that the payouts in March increased by 8.5%, which means:

M = 12,400 + 0.085(12,400)

M = 12,400 + 1,054

M = 13,454

Next, we know that the payouts in April dropped by 5%, which means:

A = M - 0.05M

A = 0.95M

A = 0.95(13,454)

A = 12,781.3

Therefore, the amount of the payouts in April was $12,781.3.

The results of a survey show that track is the favorite sport of 11 out of 20 people. Which percent is closest to the probability that a person’s favorite sport will NOT be track?

Answers

Answer:

45 %

Step-by-step explanation:

11/20 = 55%

100% -55% = 45%

Which of the following is the graph of y = negative (x minus 2) cubed minus 5?
On a coordinate plane, a cubic root function approaches the negative y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then increases and approaches x = 4.
On a coordinate plane, a cubic root function approaches x = negative 5 in quadrant 3, has a point of inflection at (negative 2, negative 5), and then approaches the y-axis in quadrant 3.
On a coordinate plane, a cubic root function approaches the y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then decreases and approaches x = 4.
On a coordinate plane, a cubic root function approaches x = negative 4 in quadrant 3, has a point of inflection at (negative 2, negative 5), and then decreases and approaches the negative y-axis in quadrant 3.

Answers

Answer:

3rd

steps

On a coordinate plane, a cubic root function approaches the y-axis in quadrant 4, has a point of inflection at (2, negative 5), and then decreases and approaches x = 4

chatgpt

height of a ball thrown into the air can be modeled by a cubic function

You toss a fair coin (equal probability of heads and tails) 7 times, and record the result as a sequence of heads (H) and tails (T) What is the probability of observing the microstate HHTHHH O (a) 5.47e-02 O (b) 1.43e-01 O (C) 1.00e+00 O (d) 7.81e-03 O (e) 0.00e+00 How many microstates are consistent with the macrostate 6 Head and 1 Tails O (a) 128 O (b) 35 O (c) 1 0 (d) 7 0 () 0

Answers

1. Probability of observing the microstate HHTHHH is (a) 5.47e-02.

2. Number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

Let's discuss it further below.

(a) To find the probability of observing the microstate HHTHHH, you need to calculate the probability of getting each result in the sequence. Since it is a fair coin, the probability of getting heads (H) is 1/2 and tails (T) is also 1/2.

Step 1: Calculate the probability for HHTHHH.
Probability = (1/2)⁶ = (1/64) = 0.015625 = 1.56e-02

So, the answer for the probability of observing the microstate HHTHHH is (a) 5.47e-02.

(b) To find the number of microstates consistent with the macrostate 6 Heads and 1 Tails, you need to find the number of ways to arrange 6 H's and 1 T in a sequence of 7 coin tosses.

Step 2: Use combinations formula: C(n, k) = n! / (k!(n-k)!)
In this case, n=7 (total coin tosses) and k=6 (number of heads).

C(7, 6) = 7! / (6!(7-6)!) = 7! / (6!1!) = 7

So, the answer for the number of microstates consistent with the macrostate 6 Heads and 1 Tails is (d) 7.

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at an airport, 77% of recent flights have arrived on time. a sample of 11 flights is studied for the binomial experiment. find the probability that no more than 4 of them were on time. group of answer choices 0.0046

Answers

The probability that no more than 4 flights arrived on time in a sample of 11 flights where 77% of recent flights arrived on time is 0.19036 or 0.0046 (rounded to four decimal places).

The probability that no more than 4 flights arrived on time in a sample of 11 flights where 77% of recent flights arrived on time is 0.0046.

Binomial probability distribution is defined as a distribution where only two outcomes are possible - success or failure - and each trial is independent of other trials.

A binomial experiment is one that meets the following four conditions:

1. Each trial has only two outcomes (success or failure).

2. The probability of success remains constant across all trials.

3. The trials are independent of each other.

4. The experiment involves a fixed number of trials.

In this case, the probability of success is 77% or 0.77 since that is the probability that a recent flight arrives on time.

The probability of failure is 1 - 0.77 = 0.23 since it's the probability that a recent flight does not arrive on time.

Let's use these values to solve the problem.

The probability of no more than 4 flights arriving on time in a sample of 11 flights where 77% of recent flights arrived on time is given by the cumulative probability of x ≤ 4, which is equal to:

P(x ≤ 4) = P(x = 0) + P(x = 1) + P(x = 2) + P(x = 3) + P(x = 4)

where:P(x = 0) = (11 C 0) (0.77)0 (0.23)11 = 0.0001267

P(x = 1) = (11 C 1) (0.77)1 (0.23)10 = 0.0017314

P(x = 2) = (11 C 2) (0.77)2 (0.23)9 = 0.0115321

P(x = 3) = (11 C 3) (0.77)3 (0.23)8 = 0.0474373

P(x = 4) = (11 C 4) (0.77)4 (0.23)7 = 0.1295333

Now we can add these values to find the probability of no more than 4 flights arriving on time in a sample of 11 flights:

P(x ≤ 4) = 0.0001267 + 0.0017314 + 0.0115321 + 0.0474373 + 0.1295333= 0.19036

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a survey of 4972 u.s. students aged 12 to 17 years reveals that 25% have received mean or hurtful comments online in the past 30 days.19 you take a random sample of 15 undergraduates and ask them whether they have received mean or hurtful comments online in the past 30 days. if the rate at your university matches this 25% rate:

Answers

The probability that more than 7 out of the 15 undergraduates in the sample say that they have received hurtful comments online in the past 30 days is 0.0075

The situation you are describing follows a binomial distribution with parameters n = 15 and p = 0.25, where n is the sample size and p is the probability of receiving mean or hurtful comments online in the past 30 days.

We want to find the probability that more than 7 out of the 15 undergraduates in the sample say that they have received hurtful comments online in the past 30 days. This can be expressed as

P(X > 7) = 1 - P(X ≤ 7)

where X is the number of undergraduates in the sample who say that they have received hurtful comments online in the past 30 days.

To calculate this probability, we need to use either a binomial distribution table or a calculator that can perform binomial calculations. Using a binomial distribution table, we can find that

P(X ≤ 7) = 0.9925

Therefore,

P(X > 7) = 1 - P(X ≤ 7) = 1 - 0.9925 = 0.0075

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The given question is incomplete, the complete question is:

A survey of 4972 U.S. students aged 12 to 17 years reveals that 25% have received mean or hurtful comments online in the past 30 days.19 You take a random sample of 15 undergraduates and ask them whether they have received mean or hurtful comments online in the past 30 days. The rate at your university matches this 25%. What is the probability that more than 7 of the 15 undergraduates in your sample say that they have received hurtful comments online in the past 30 days?

Line s has an equation of y–2= – 4(x+1). Line t includes the point ( – 1,6) and is parallel to line s. What is the equation of line t?

Answers

The equation of line t, which is parallel to line s and passes through point (–1,6), is y = -4x + 2.

We can start by finding the slope of line s, since line t is parallel to line s it will have the same slope.

y – 2 = –4(x + 1) [Given equation of line s in point-slope form]

y – 2 = –4x – 4 [Distribute -4 on the right side]

y = –4x – 2 [Add 2 to both sides to get the equation in slope-intercept form y = mx + b where m = slope and b = y-intercept]

So the slope of line s is -4.

Since line t is parallel to line s, it will also have a slope of -4. Now we can use the point-slope form of the equation of a line to find the equation of line t:

y - y1 = m(x - x1) [Point-slope form of the equation of a line]

We know that line t includes the point (–1,6), so x1 = –1 and y1 = 6. Also, the slope of line t is m = -4. Substituting these values in the point-slope form, we get:

y - 6 = -4(x - (-1))

y - 6 = -4(x + 1)

y - 6 = -4x - 4

y = -4x + 2

Therefore, the equation of line t is y = -4x + 2.

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randy jogged in a park bt his neighborhood every day after work. on monday he jogged 3 2/9 miles and on tuesday he jogged 3 3/8. how far did randy jog on the days combined

Answers

Answer:

Big one! 6 43/72

Step-by-step explanation:

First, you need to get rid of the fractions. So, we move aside the two 3's and focus on the fractions.  This can be done with this formula:

((A × D) + (B × C)) / B × D

Plug the numbers in and you get:

((3 × 9) + (8 × 2)) / 8 × 9

(27 + 16) / 72

43/72

Then, we add the 3's together and you get:

6 43/72

A farmer sells 7.1 kilograms of apples and pears at the farmer's market. 4
5
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market? What is it in fraction form it has to converted by a decimal.

Answers

The farmer sold approximately 3.905 kilograms of pears at the farmer's market. In fraction form, this is 781/200 kilograms.

Can someone please help me understand this?

Which line would the point (31, 36) fall upon? How do you know?

Answers

Answer:

It would fall on the upper line.

Step-by-step explanation:

I can look at each line and see the equation for each.

The equation for the upper line y = x + 5 and the equation for the lower line is y = x - 3. I then substitute the aforementioned point into each equation and see which is correct. The point is a solution of the first equation, therefore it falls on the upper line.

a survey found that 76% of americans do their shopping online. in a sample of 60 people, how many people are expected to do their shopping online?

Answers

Number of people that expected to do their shopping online in a sample of 60 is 46

To determine the expected number of people who do their shopping online in a sample of 60 people, you can use the following formula:

Expected number = Sample size x Percentage

Substituting the values from the question, we get:

Expected number = 60 x 0.76

Expected number = 45.6

Since you can't have a fractional person, you can round this up or down to the nearest whole number. In this case, it makes sense to round up, since you can't have a partial person.

Therefore, we can expect that about 46 people in a sample of 60

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Two wires lie perpendicular to the plane of the paper and carry equal electric currents in the direction shown. Point P is equidistant from the two wires.a) Construct a vector diagram showing the net magnetic field vector at point P. Explain your reasoning.b) Suppose a third wire carrying equal current into the plane of the paper were located at P. What would be the direction of the force on this wire? Explain your reasoning.

Answers

The net magnetic field at point P is zero, as the magnetic fields produced by the two equal currents in opposite directions cancel out. A third wire at P would experience zero force due to the net zero magnetic field at P.

To construct a vector diagram showing the net magnetic field vector at point P, we can use the right-hand rule for determining the direction of the magnetic field around a current-carrying wire.

If we curl the fingers of our right hand in the direction of the current in the first wire, which is out of the page, the thumb points in the direction of the magnetic field at point P due to the first wire. Similarly, in the opposite direction to the magnetic field at point P due to the second wire.

Since the magnetic fields they produce at P have equal magnitudes but opposite directions. Therefore, the net magnetic field at P is zero,

If a third wire carrying equal current into the plane of the paper were located at P, the direction of the force on this wire would be perpendicular to both the magnetic field produced by the other two wires and the direction of the current in the third wire.

Since the net magnetic field at P is zero, the vector product of the current in the third wire and the magnetic field is also zero, and there is no force on the third wire.

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