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3 years ago

A circular mirror has a circumference of 30 pi inches. What is the area of mirror?

Mathematics

1 answer:

Aleonysh [2.5K]3 years ago

6 0

Answer:

Step-by-step explanation:

circumference = 2πr

2πr = 30π inches

$r=\frac{30\pi}{2\pi}=15in$

Area = πr² = π*15*15 = 225π square inches

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Find the value of X in the triangle shown below

dedylja [7]

Answer:

102°

Step-by-step explanation:

This is an isosceles triangle

x = 180 - 39 - 39

x = 102°

5 0

3 years ago

Apple juice is sold in 2.5l cartons and 350ml boxes. a 2.5l carton sells for $4.15 and six 350ml boxes sell for $4.50. calculate

TiliK225 [7]

Answer:

0.00166 dollars per milliliter

0.002142857142857 dollars per milliliter.

Step-by-step explanation:

1. 2.5 carton

2.5 liters of juice is 4.15

2.5 liters=2,500 milliliters

To find the price per milliliter, we will divide the cost by the amount of juice there is.

4.15/2,500=0.00166 dollars per milliliter

2. 6 350-ml cartons

6 350-milliliter boxes= a total of 6*350 ml=2100 milliliter

Again, we will divide the cost by the amount of juice.

4.50/2100=0.002142857142857 dollars per milliliter.

7 0

3 years ago

The term "freshman 15" refers to the claim that college students typically gain 15lbs during freshman year at college. Assume th

Viefleur [7K]

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

<h3>What is Probability ?</h3>

Probability is defined as the likeliness of an event to happen.

Let X be a random variable that shows the term "freshman 15" that claims that students typically gain 15lb during their freshman year at college.

It is given that

X follows is a normal distribution with a mean of 2.1 lb (μ) and a standard deviation (σ) of 10.8 lb.

Population Mean (μ) = 2.1

Population Standard Deviation (σ) = 10.8

We need to compute Pr(X≥15). The corresponding z-value needed to be computed is:

$\rm Z_{lower} = \dfrac{ X_1 -\mu }{\sigma}\\\\Z_{lower} = \dfrac{ 15-2.1 }{10.8}\\\\\\Z_{lower} = 1.19$

Then the probability is given as

$\rm Pr(X \geq 16 ) = Pr (\dfrac{X -21}{10.8} \geq \dfrac{15-21}{10.8})\\\\= Pr (Z \geq \dfrac{15-2.1}{10.8}\\\\= Pr (Z\geq 1.19)\\\\ = 0.1162$

Pr(X≥15)=0.1162. (11.6%)

The probability that a randomly selected male college student gains 15 lb or more during their freshman year is 11.6%

To know more about Probability

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3 0

2 years ago

Write the ratio as a fraction in simplest form.<br><br> $5.40 for 24 cans (per can)

galina1969 [7]

Answer:

9/40

Step-by-step explanation:

To find the price per can, we take the cost and divide by the number of cans

$5.40/24

5.4/24

Since there is a decimal in the numerator, multiply the top and bottom by 10

5.4/24 * 10/10

54/240

Divide the top and bottom by 6

9/40

4 0

3 years ago

Consider the function f(x)= x^2 and the function g(x) shown below. how will the graph of g(x) differ from the graph of f(x)

malfutka [58]

Answer:

f(x) = x^2

g(x) = 4*x^2

=> For a value of x, the g(x) is 4 times larger than f(x).

=> g(x) is the stretched version of f(x) with stretched ratio = 4).

=> Option D is correct

Hope this helps!

3 0

3 years ago

Read 2 more answers