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3 years ago

Find the length of the radius. Assume that lines which appear to be tangent are tangent.

Mathematics

1 answer:

aleksley [76]3 years ago

3 0

The Answer Is 7.5

Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.

64+d^2=289

d^2=225

d=15

15/2=7.5

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The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf f(x) 5 5 3 2 ? 1 x2 1

muminat

The probability that the reaction time for this density function is at most 2.5 seconds is equal to 0.9.

<h3>What is a density function?</h3>

A density function can be defined as a type of function which is used to represent the density of a continuous random variable that lies within a specific range.

<h3>How to calculate the probability that reaction time is at most 2.5 seconds?</h3>

P(X ≤ 2.5) = Fx(2.5)

Fx(2.5) = 3/2 - 3/2(2.5)

Fx(2.5) = 3/2 - 3/5

Fx(2.5) = 0.9.

Read more on density function here: brainly.com/question/14448717

#SPJ4

Complete Question:

The reaction time (in seconds) to a certain stimulus is a continuous random variable with pdf:

f(x) = $\left \{ {{\frac{3}{2x^2} \;1 \leq x\leq 3} \atop {0}\;otherwise} \right$

What is the probability that reaction time is at most 2.5 seconds?

7 0

2 years ago

Help!! 1.There are four pairs of angles, formed by two lines and a transversal, that have special.

mars1129 [50]

Answer:

i) vertical

ii) corresponding

iii) alt. interior

iv) corresponding

v)alt. exterior

vi) corresponding

Step-by-step explanation:

corresponding angles make an F when traced, alternate interior angles make a Z when traced, and same side interior angles make a C when traced. (just a tip!)

7 0

3 years ago

In a recent study on world happiness, participants were asked to evaluate their current lives on a scale from 0 to 10, where 0

uysha [10]

Answer:

a) A response of 8.9 represents the 92nd percentile.

b) A response of 6.6 represents the 62nd percentile.

c) A response of 4.4 represents the first quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) We have to find the value of x such that the probability is 0.92

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9$

A response of 8.9 represents the 92nd percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6$

A response of 6.6 represents the 62nd percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25$

Calculation the value from standard normal z table, we have,

$P(z$

$\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4$

A response of 4.4 represents the first quartile.

4 0

3 years ago

The bottle rocket reached a maximum height of 56.25 feet.

lidiya [134]

The last one HOPE THIS HELPS!!!!

3 0

3 years ago

Help, Find the domain of the function

adell [148]

Answer:

(-∞,∞)

Step-by-step explanation:

This would form a roughly parabolic shape that extends infinitely along the x-axis. It would reach a height of ³√2 on the y-axis. Because it extends infinitely left and right, it would have an infinite domain. In interval notation, this would be (-∞,∞)

6 0

3 years ago