Directions: Using trig functions, find the value of each variable. Write your final answer
in the blank. Show your work and round answers to the nearest tenth.
(First problem)

Answer:

Step-by-step explanation:

Triangle - 3 sides

Perimeter - Add

5ft + 12ft = 17ft

Using the concept of independent events, it is found that the correct statement is:

a and b are independent events because p(a∣b) = p(a) = 0.75.

Two events, A and B, are independent if:

[tex]P(A \cap B) = P(A)P(B)[/tex]

In this problem, the events are:

In this problem, out of 300 students, 225 have surfed, hence:

[tex]P(A) = \frac{225}{300} = 0.75[/tex]

48 have gone snowboarding, hence:

[tex]P(B) = \frac{48}{300} = 0.16[/tex]

36 have done both, hence:

[tex]P(A \cap B) = \frac{36}{300} = 0.12[/tex]

The multiplication is:

P(A)P(B) = 0.75 x 0.16 = 0.12.

That is, the probability of A given B is P(A|B) = P(A) = 0.75, hence they are independent.

More can be learned about independent events at https://brainly.com/question/14478923

Answer:

the answer is B

Step-by-step explanation:

Answer:

85 ft^2

Step-by-step explanation:

Base = 5 x 5 = 25 ft^2

FOUR triangles   4  *   1/2 * b * h  = 4 * 1/2 * 5 * 6 = 60 ft^2

added together = 85 ft^2

Answer:

75.398 cm to the nearest thousandth.

Step-by-step explanation:

Circumference = π * diemeter

= 24π

= 75.3982 cm

Answer:

1.25

Step-by-step explanation:4 pounds equal to 1 dollar so that means that each pound equals to 0.25 cents. SO, now you multiply 0.25 x 5= 1.25

there will be approximately 61 grams of the radioactive rhodium remaining after 120 seconds.

A rise in the resultant quantity for a given quantity is referred to as exponential growth, and a decrease in the resultant quantity for a given quantity is referred to as exponential decay. Over time, exponential functions monitor constant growth. Examples from the actual world include radioactive decay, compound interest, and bacterial proliferation.

Given, You have 976 grams of a radioactive kind of rhodium.

The formula for the amount of a substance remaining after a certain amount of time given its half-life is:

N = N₀ *[tex](1/2)^{t / t_{1/2} }[/tex]

where:

N₀ is the initial amount of the substance

N is the amount of the substance remaining after time t

t₁/₂ is the half-life of the substance

In this problem, N₀ = 976 grams, t = 120 seconds, and t₁/₂ = 30 seconds. We can plug these values into the formula and solve for N:

N = 976 * (1/2)⁽¹²⁰/³⁰⁾

N = 976 * (1/2)⁴

N = 976 * 0.0625

N ≈ 61

Therefore, after 120 seconds, there will be approximately 61 grams of the radioactive rhodium remaining.

Learn more about exponential growth and decay here:

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Answer:

73

Step-by-step explanation:

12(6) + 1/4 • 2^2

Square the 2 first.

12(6) + 1/4 • 4

Then multiply from left to right.

72 + 1

Lastly, add.

73

The parenthesis around the 6 mean multiplication, not the Parenthesis that are grouping symbols if you are learning PEMDAS. So your question has no grouping symbol parenthesis. Next comes Exponents, that's why we squared the 2. Multiply and Divide come next IN THE ORDER THAT THEY APPEAR FROM LEFT TO RIGHT. Then the same method with adding and subtracting. That's called the order of operations.

Answer:

1 (y + x)

(x + y)

Answer:

B. 1/4

Step-by-step explanation:

The easiest way to find the answer here is to (if you have one) use a calculator to divide each fraction.

When divided 1/4, you get .25, and as the explanation says, "The first two places after a decimal point are the same as a percentage: 0.15 is equal to 15%, and 0.3 is equal to 30%."

So, moving the decimal to the right two times will give you your probability of 25%.

Hope this helps :)

Answer:

choice B- no

Step-by-step explanation:

We have been given that Nate has 100 bananas. He will eat 2 of them every day.

Let x represent number of days. So bananas eaten in x days would be .

Total number of bananas, y, left after x days would be

We know that two proportional quantities are in form , where, k is constant of proportionality.

Since our equation is not in form , therefore, number of bananas Nate has left is not proportional to the number of days that pass.

Answer:

mean = Efm÷N

Step-by-step explanation:

mark me as brainlist

The theoretical domain is all real numbers greater than or equal to one and less than or equal to two. Then the correct option is C.

Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.

Kellen runs for at least 1 hour but for no more than 2 hours. He runs at an average rate of 6.6 kilometers per hour. The equation that models the distance he runs for t hours is d = 6.6t

Then the domain of the function d will be a real number.

But in the problem, the value of t is more than or equal to one but less than or equal to two.

1 ≤ t ≤ 2

More about the inequality link is given below.

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Answer:

8.8.

Step-by-step explanation:

There are 5 values so:

mean = (3+5+10+11+15)/ 5

= 44/5

= 8.8.

Step-by-step explanation:

1) 165⁰

2) 180⁰

Note:FOR initial temperature check the temperature at t=0

I hope it helped you

Answer:

We know,

[tex]\:\sf{Volume\:of\:sphere\:=\:\frac{4}{3}πr³}[/tex]

Here,

[tex]\:\mathsf{radius\:=\:5mm}[/tex]

Now,

Volume of sphere = [tex]\:\mathsf{\frac{4}{3}\:πr³}[/tex]

=> [tex]\:\mathsf{\frac{4}{3}\:×\frac{22}{7}\:×(5)³}[/tex]

We got,

Therefore you can say that option B. 524 mm³ is the correct answer for this question.

Hope this helps!

Answer:

Step-by-step explanation:

Volume of the sphere

Here, the radius (r) is 5 mm.

Solving

Answer:

17.50

Step-by-step explanation:

Answer:

D. This is impossible

Step-by-step explanation:

In math, when you solve an answer and you’re given no solution, it means that whatever equation you just did cannot be solved, and is therefore, impossible; there is no answer.

Side note: If you have any further questions feel free to let me know.

Answer:

B. The lines are parallel and do not intersect.

Step-by-step explanation:

Answer:

(- 1, 7 )

Step-by-step explanation:

a translation left of 1 unit means to subtract 1 from the x- coordinate.

a translation down of 2 units means to subtract 2 from the y- coordinate.

(0, 9 ) → (0 - 1, 9 - 2 ) → (- 1, 7 )

Answer:

A

Step-by-step explanation:

Vertical line test. Draw vertical lines (you don't have to actually draw them, imagine them) across the relation. If any line intersects two portions of the relation, it is not a function.

$48.865 per headphone

unit rate : total cost/total items

unit rate:

390.92/8

48.865

Each headphone costs $48.865

in essence, how many times does 2/3 go into 9?  well, is just a division, so

[tex]9\div \cfrac{2}{3}\implies \cfrac{9}{1}\div \cfrac{2}{3}\implies \cfrac{9}{1}\cdot \cfrac{3}{2}\implies \cfrac{27}{2}\implies 13\frac{1}{2}[/tex]

Answer:

x = 5

Step-by-step explanation:

5(x-3)^2 - 20 = 0 we can find the value of x by sorting out the number one by one and leaving x alone on one side:

Answer:

surface area we can also take it as total surface area

9 is the radius and 5cm is the height . as they asked total surface area we have to take the area of base so tht we can make it as

total surface area = csa of cylinder + area of base

we know that,

2pirh+pir²

pir(2h+r)

pir(2×5+9)

pir(10+9)

pir(19)

22/7×9×19

3762/7

=> 537.42 cm² is the answer.

2πr²+2πrh

Step-by-step explanation:

2/1*22/7*9/1*9/1+2*22/7*5/1*9/1

2*22*9+2*22*5*9

369+990

answer= 1359

Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, we have that the mean and the standard deviation of the scores are given by:

[tex]\mu = 400, \sigma = 50[/tex]

Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.

Then:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.253 = \frac{X - 400}{50}[/tex]

X - 400 = 50(0.253)

X = 412.65.

Rounding up, approximately 40% of the scores are greater than 413.

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Answer:

413

Step-by-step explanation:

I took the test k12

Answer:

Below in bold.

Step-by-step explanation:

The general form of a linear function can be written as:

n(p) = kp + C      where k and C are constants.

So substituting the given data:

8000 = 3k + C

5200 = 5k + C    Subtract

2800 = -2k

k = -1400

and C = 8000 - 3(-1400) = 12200

a. So the equations is:

n(p) = -1400p + 12200

b.

For a charge p of $6.50;

n(p)  = -1400*6.5 + 12200

= 3100 balls.

Answer:

Division: 10 ÷ 3

Mixed Number 3 and 1/3

Answer:

10/3 in a mixed fraction is 3 1/3.

Let us convert the improper fraction to a mixed number.

Step-by-step explanation:

Converting an improper fraction to a mixed number involves dividing the numerator by the denominator.

And we keep the quotient part as separate

The quotient of 10 divided by 3 is 3

While the remainder of 10 divided by 3 is 1

The mixed number is written as Quotient (Remainder/Divisor), i.e., 3 1/3

Thus, 10/3 in a mixed fraction is 3 1/3.

Answer:

39

Step-by-step explanation:

1- Put your numbers in acending order

2- cross out the first number and the last number until you are in the middle number

3- the number is 39

Answer: 39

Step-by-step explanation: I took the quiz myself and that was the answer.

Answer:

Y=(-1/2)x+9/2

Step-by-step explanation:

For straight lines y=mx+c

m=gradient

Find the gradient first-m=(y2-y1) /(x2-x1)

Take the points M and N and substitute in the equation

m=(5-2)/(-1-5)

m=-1/2

Gradient of line MN×gradient of perp line =-1

There fore gradient of perp line =2