Which statement about these triangles is true

Use the following information to determine your answer: The length of a movie falls on a normal distribution. About 95% of movie

Elenna [48]

Answer:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

Step-by-step explanation:

For this case the 95%of the values are between the following two values:

(75 , 163)

And for this case we know that the variable of interest X "length of a movie" follows a normal distribution:

$X \sim N( \mu, \sigma)$

We can estimate the true mean with the following formula:

$\mu = \frac{75+163}{2}= 119$

Now we know that in the normal standard distribution we know that we have 95% of the values between 1.96 deviations from the mean. We can find the value of the deviation with this formula:

$75= 119 -1.96 \sigma$

$\sigma = \frac{75-119}{-1.96}= 22.45$

And tha's equivalent to use this formula:

$163= 119 +1.96 \sigma$

$\sigma = \frac{163-119}{1.96}= 22.45$

4 0

3 years ago

The volume of a cylinder is 9080 in.³ the same height of the cylinder is 20 inches what is the radius of the cylinder express yo

insens350 [35]

Answer:

12.02 inches

Step-by-step explanation:

recall, volume of a cylinder is given by

V = πr²h

where r is the radius of the cylinder and h = the height

hence

9080 = π x r² x 20

r² = 9080 ÷ 20π = 144.513

r = √144.513 = 12.02 inches

7 0

3 years ago

Read 2 more answers

So confused. please help me

Svetllana [295]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

Read 2 more answers

Jim writes 10^4 words every day how many words does he writes in 10^3 days?

Alchen [17]

1,000 words

10^4=10,000
10^3=1,000

7 0

2 years ago

Triangle ABC is shown the measure of the interior angle at point A is 40 and the exterior angle point C is 102

mixas84 [53]

Answer:

∠C (Interior) =78°

∠B (Interior) = 62°

Step-by-step explanation:

Given:

∠A (Interior) = 40°

∠C (exterior) = 102°

Computation:

∠C (Interior) = 180° - 102°

∠C (Interior) =78°

∠B (Interior) = 180° - ∠A (Interior) - ∠C (Interior)

∠B (Interior) = 180° - 78° - 40°

∠B (Interior) = 180° - 118°

∠B (Interior) = 62°

4 0

3 years ago