The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.
What is Normal probability distribution?The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.
Central limit theorem
The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.
Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.
Mean standard deviation , the z-score of a measure X is given by:
Z = x-μ/σ
Given ,
The distribution of backpack with mean deviation = 19.7 pounds
And the standard deviation = 3.1 pounds
The number of standard deviations is measured by the Z-score. The average is used as the measure.
We glance at the z-score table after determining the Z-score to determine the p-value connected to it.
The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.
1 is subtracted from the p value.
We calculate the likelihood that the measure exceeds X.
P(ä > 22) is the probability of the sample means being above 22.
For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.
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Find the missing length of the triangle. a= ? b=4 c=12 1/3
Answer:
a = 12.93
Step-by-step explanation:
Convert to decimal: 12 1/3 = 12.3
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
a = 12.93 (rounded to two decimal places)
The solution is :
the missing length of the triangle is a = 12.93.
What is Pythagorean theorem?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
here, we have,
Convert to decimal: 12 1/3 = 12.3
so, we have,
Pythagoras (a^2 = b^2 + c^2):
4^2 = 16
12.3^2 = 151.29
16+151.29 = 167.29
a = √167.29
we get,
a = 12.93 (rounded to two decimal places)
Hence, the missing length of the triangle is a = 12.93.
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May somebody help me please I’ll appreciate it
theremay be some options first show the options then it would be very easy
An 80% confidence interval is found to be (12, 20). What is the margin of
error?
Answer:4
Step-by-step explanation:
If A = 5 units, then what is the volume of the cube shown above?
Answer:
125 square units
Step-by-step explanation:
YYWW :)
NEED HELP ASAP MAKE IT NEAT AND NOT TOO LONG!!!!
Use the function f(x) = 2x^2 − 3x − 5 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
Step-by-step explanation:
A
(2x - 5)(x + 1)
B)
The x intrcepts occur when the factors equal zero.
2x - 5 = 0
2x = 5
x = 5/2
x = 2 1/2
C
I will give the the minimum from completing the square
y = 2(x - 0.75)^2 - 6.125
as x approaches + infinity, y approaches + infinity.
as x approaches - infinity, y approaches + infinity.
It's a quadratic. The y values go to plus infinity, when x goes from - infinity to + infinity.
D
Desmos is the most useful tool for this part of the question. What it shows is the two roots and the minimum at (0.75,-6.125. A parabola does what the end behavior describes. The roots are clearly labeled as is the minimum.
Please help me to find the slope
Answer:
Step-by-step explanation:
the formula for the slope is y2 - y1 / x2 - x1
so 1 - 0 / -3 --3/7
on the calculator
- 7 / 18
PLS HELP!!!! WILL GIVE BRAINLIEST!!! EDGE. PERFORMANCE TASK STEP FOUR
5W = 24D is the expression that represents the change in the rate of dosage as per the weight.
What is an expression?A mathematical expression is a sentence that includes numbers, variables, or both. The equal symbol is never used in expressions. Here are a few phrases as examples. A mathematical statement stating the equality of two expressions is known as an equation.
Given the relation between dosage and the weight of a medicine
Children's Fever Medicine
(given every 4-6 hours, as needed)
Weight: 24 lbs 36+ lbs 48+lbs 60+lbs 72+ lbs
Dosage: 5 mL 7.5 mL 10 mL 12.5 mL 15 mL
ratio of weught and dose
24/5 = 36/7.5 = 48/ 10 = 60/12.5 = 75/15
=> 4.8 = 4.8 = 4.8 = 4.8 = 4.8
Since weight is directly proportional to the dosage
let W be the weight of the child and D be the Dose of the medicine
Thus, Relation between them:
=>W/D = 24/5
=> 5W = 24D
Therefore, The formula that describes the change in dosage rate in relation to weight is 5W = 24D.
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How do you call 2 angles with the sum of 90?
The two angles that have the sum of angles as 90° are called as Complementary Angles .
What are Complementary Angles ?
The two angles are said to be complimentary Angles when the sum of two angles is 90° .
In other words, we can say that if the measure of two angles add up to form a right angle, then these angles are called as Complementary Angles. We can also say that the two angles complement each other.
For Example : the angles having the measure of 30 degree and 60 degree can be called as Complimentary as their sum adds up to 90 degree .
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What is the value of x in simplest radical form?
Answer:
x = 20
Step-by-step explanation:
To solve this problem we first observe the Pythagoras equation. If a= 16 and b=12 are the lengths of the legs of a right triangle and c=x is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.
This relationship is represented by the formula: a*a + b*b = c*c
[tex]\sqrt{16^2 + 12^2}[/tex] = x
The sum of two integers is 10. Their difference is 4. What are the two integers?
A) -3 and 1
B) -3 and 13
C) 3 and 7
D) -1 and 3
Answer:
The answer is 3 and 7.
Step-by-step explanation:
Helppppppp
in a math class with 30 students, a test was given the same day that an assignment was due. There were 21 students who passed the test and 20 students who completed the assignment. There were 7 students who failed the test and also did not complete the assignment. What is the probability that a student completed the homework given that they passed the test?
please help
This approximates to roughly 6/7 = 0.8571
========================================================
Explanation:
Let's define the following
A = number of people who passed the test, and did the hwB = number of people who passed the test, but didn't do the hwC = number of people who failed the test, but did the hwD = number of people who failed the test, and didn't do the hwThere are 30 students in the class total. This must mean A+B+C+D = 30.
We know that "There were 7 students who failed the test and also did not complete the assignment", meaning we can say D = 7.
We can also say A+B = 21 because this is the entire group of people who passed the test (whether they did the hw or not).
This means:
A+B+C+D = 30
(A+B)+C+D = 30
(21) + C + 7 = 30
C+28 = 30
C = 30-28
C = 2
We have 2 people who failed the test, but did the hw.
Because 20 students did the hw, we know that
A+C = 20
A+2 = 20
A = 20-2
A = 18
We have 18 students who passed the test and did the hw. This is out of 21 students who passed. From here on out, we only focus on this group of students because of the phrasing "given that they passed the test". This means we know 100% that whoever we picked, they passed the test.
The probability we're after is therefore:
18/21 = (3*6)/(3*7) = 6/7
Side note: It might help to sort the data into a table as shown below. Start with table 1, and the goal is to replace the placeholder letters with the proper numbers, to arrive at table 2. You'll have to use algebra as shown earlier to fill out the table.
Answer:
6/7
Step-by-step explanation:
It's correct trust me.
Net of a square pyramid showing 4 triangles and the square base. The square base has side lengths of 3 inches. The height of each triangle attached to the square is 6 inches. The base of the triangle is the side of the square. What is the surface area of the solid? (1 point) a 18 square inches b 27 square inches c 36 square inches d 45 square inches
The correct option regarding the surface area of the solid is given as follows:
d. 45 square inches.
How to calculate the surface area?The surface area of a solid is composed by the sum of the areas of all the pars of the figure.
The composition of the figure in this problem is given as follows:
4 triangles of base 3 and height 6.One square of side length 3.Thea area of a triangle is given by half the multiplication of the base by the height, hence the area of the four triangles in this problem is given as follows:
At = 4 x 1/2 x 3 x 6
At = 36 square inches.
The area of a square is given by the square of the side length, hence:
As = 3³
As = 9 square inches.
Thus the surface area of the solid in this problem is given as follows:
S = At + As
S = 36 + 9
S = 45 square inches.
Meaning that option d is correct.
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Math help quick guys where ya at
The required dimensions are solved using linear pair and vertical angle to get the result as
x = 40y = 35Angle AED = angle CEB = 125 degreesAngle DEB = Angle AEC = 55 degreesHow to find the value of x and yThe value of x and y is calculated using linear pair theorem, the theorem implies that
solving for x
(3x + 5) + (x + 15) = 180
3x + x + 5 + 15 = 180
collecting like terms
4x = 180 - 15 - 5
4x = 160
x = 40
solving for y
(y + 20) + (4y - 15) = 180
y + 4y + 20 - 15 = 180
collecting like terms
5y = 180 - 20 + 15
5y = 175
y = 35
Angle AED
= 3x + 5
= 3 * 40 + 5
= 125 degrees
Angle AED = angle CEB = 125 degrees (vertical angles)
Angle DEB
= x + 15
= 40 + 15
= 55 degrees
Angle DEB = Angle AEC = 55 degrees (vertical angles)
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I did the first question already I need help with the second pls :>
Answer:
The box is considered a cube so,
4 x 4 = 16
56 divided by 16 = 3.5 is your height
1/2 x 1/2 x 1/2 = 1/8.
56 divided by 1/8 = 7 cubes
how many 1/3 inch cubes does it take to fill a box with width 1 1/3 inches, length 1 1/3 inches, and height 1 2/3 inches?
The number of 1/3 inch cubes that will fill the box is 26.
Volume of an object.The volume of an object is the amount or quantity of substance that it would conveniently contain. Different objects has their method of determining their volume depending on their shapes.
Given a cube of length 1/3 inch. The volume of the cube can be determined as;
volume of a cube = length x width x height
The volume of the cube = 1/3 * 1/4 * 1/3
= 1/9 cube inches
The volume of the box can be determined as;
Volume of the box = length x width x height
= 1 1/3 * 1 1/3 * 1 2/3
= 2.963 cubic inches
Volume of the box = 2.963 cubic inches
The number of 1/3 inch cubes that will fill the box = 2.963/ (1/9)
= 26.667
The number of 1/3 inch cubes that will fill the box is 26.
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prove that the value of the expression does not depend on the value of x. (x-5)(x+8)-(x+4)(x-1)
The value of the expression is -44 and thus does not depend on the value of x
What are algebraic expressions?An algebraic expression can be described as a mathematical expression made up of variables, terms, factors, coefficients and constants.
They are also made up of mathematical or arithmetic operations, which includes;
MultiplicationSubtractionAdditionBracketParenthesesDivision, etcFrom the information given, we have that;
(x-5)(x+8)-(x+4)(x-1)
expand the bracket
x² + 8x - 5x - 40 - (x² -x + 4x - 4)
x² + 8x - 5x - 40 - x² + x - 4x + 4
collect like terms
3x - 3x - 40 - 4
add or subtract like terms
0 - 44
Hence, the expression does not depend o x
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How do you solve an inequality equation?
There are four fundamental types of inequality: less than ( < ), larger than( > ), less than or equal to ( ≤ ), and more than or equal to( ≥ ).
What is an inequality?The term "inequality" in mathematics refers to a connection between two expressions or values that is not equal to each other. Inequality originates from an imbalance, thus. The majority of the time, size comparisons between two numbers on the number line are made.
The most notable instances of social inequality include those related to health care, social class, gender inequality, and wealth disparity. Comparatively speaking, some people in the healthcare system receive better and more skilled care. For these services, they are also likely to pay more.
Steps to solve the inequality:
First, get rid of all fractions by multiplying all terms by the fractions' lowest common denominator. (There is no difference when we multiply by a positive number.)Second, simplify the inequality by merging like words on either side. The sameThird To get the unknown on one side and the numbers on the other, add or subtract the appropriate amounts. The sameFourth, multiply each term in the inequality by the unknown coefficient. The inequality will not change if the coefficient is positive. Inequality will also be reversed if a negative coefficient exists. The crucial distinction between equations and inequalities is this.To know more about inequalities refer to:
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a. 96°
b. 132°
c. 137°
d. 89°
Answer:
b. 132°
Step-by-step explanation:
Solve for x.
3 1/2 ≥ 1.4x
A. x ≥ 2 1/2
B. x ≤ 2 1/2
C. x ≥ 4 9/10
D. x ≤ 4 9/10
To solve for x, we need to get x by itself on one side of the equation. To do this, we can start by subtracting 1.4x from both sides of the equation. This gives us:
3 1/2 - 1.4x ≥ 0
Next, we can simplify the left side of the equation to get:
7/2 - 7/5x ≥ 0
Now we can divide both sides of the equation by -7/5 to get:
-5/2x ≤ -7/2
Finally, we can multiply both sides of the equation by -2/5 to get:
x ≥ 4 9/10
Therefore, the solution is x ≥ 4 9/10, which corresponds to answer choice C.
Answer:
x ≥ 4 9/10 C:)
Step-by-step explanation:
Select the improper fraction that is equal to the mixed number below
4 3/5
A. 43/5
B. 23/5
C.12/5
Answer:
B. 23/5 simplified to 4 3/5
Answer:
B. 23/5
Step-by-step explanation:
4 (whole number) ×5 (denominator) =20
20 + 3 (numerator) = 23
Ans = 23/5
How do you solve a 3 sided triangle?
It is impossible to solve a 3-sided triangle because triangles require 3 sides and 3 angles in order to be solved.
A triangle is a three-sided polygon, and the sum of its angles is always 180 degrees. In order to solve a triangle, you must know the length of all three sides and the measure of all three angles. If you know two sides and the angle between them (the angle opposite to one of the sides), you can use the Law of Sines to determine the other angle. If you know two angles and a side, you can use the Law of Cosines to determine the other two sides. With all three sides and angles known, you can use the Pythagorean Theorem to check your work. However, if you only have three sides, it is impossible to solve the triangle because you do not have enough information.
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(a) 26 is what percent of 40? 65% (b) 85% of 80 is what number?
Mia went shopping for a new pair of pants because of a sale. The price on the tag was $34, but Mia paid $27.20 before tax. Find the percent discount.
Answer:
There was a discount of 20% on the pair of pants.
Step-by-step explanation:
10% of $34 would be $3.40 meaning 20% would be double, which is $6.80.
If we subtract 20% or $6.80 from the original price $34, we get 34 - 6.80 = 27.20
How to work out the circumference from the diameter using a calculator and pi
Answer:
All you have to do is remember the equation: 2 *pi * r
or d * pi
Step-by-step explanation:
2R and d are the same thing
Plz help! Will mark brainliest if correct! No links please
Answer:
20.8
Step-by-step explanation:
hope this helps
Write two equations that can be solved using the double 7+7
Answer:
Using doubles plus one fact the sum of 7 + 7 is equal to 15 it is done by simply adding 1 to the given number.
Given :
Expression - 7 + 7
Doubles plus one fact is used to add numbers that are next to each other. for example, if a number given is 8 + 8 we have to evaluate it by using doubles one fact so 8 + 8 = 8 + 8 + 1 = 17.
The sum of 7 + 7 can be determined by using doubles plus one fact as:
Simply add 1 in 7 + 7 to get the result required.
Therefore by using doubles plus one fact the sum of 7 + 7 is equal to 15.
A coach formed teams of 8 from all the players in a soccer league. There are 14 teams. How many players are in the league?
Answer:
112
Step-by-step explanation:
8 players time 14 teams = 112
8*14=112
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A board is 85 inches long. How long is it in feet and inches?
Answer: 7.083
Step-by-step explanation: all you have to do is divide 85 by 12 since there are 12 inches in one foot :)
find the area of the composite figure below
please help
Answer:
240 yd³Step-by-step explanation:
The base of the prism is triangle with base of 6 yd and hight of 6 yd.
The hight of the prism is 10 yd.
Therefore, the volume of the prism:
[tex](\frac12\cdot8\cdot6)\cdot10=240\ yd^3[/tex]
question in in the image
Answer:
Step-by-step explanation: The answer will be D isolate the variable x by dividing by the factors.