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lions [1.4K]
3 years ago
7

A normal distribution has a mean of 142 and a standard deviation of 16. What is the probability that a randomly selected value l

ies between 142 and 174? A) 0.22 B) 0.34 C) 0.48 D) 0.54
Mathematics
1 answer:
jolli1 [7]3 years ago
6 0
\mathbb P(142

Approximately 95% of any normal distribution lies within two standard deviations of the mean, i.e. \mathbb P(-2. Because the distribution is symmetric, you have \mathbb P(-2, so \mathbb P(0.
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Answer:

The values for both of the missing sides is 8.

Step-by-step explanation:

The hypotenuse of a right triangle = a(square root of 2)

Therefore the other two missing sides equal a.

Therefore, the other two sides equal 8.

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Okay what’s the rest of the question ?
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A sailboat travels 3 miles in 1.5 hours. How far does it travel in 2 hours?
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A sailboat travels 3 miles in 1.5 hours. How far does it travel in 2 hours.
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3 years ago
A football player kicks a ball with an initial upward velocity of 47 ft./s. The initial height of the ball is 3 feet. The functi
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Answer: 3 seconds

We are given the following function:

h(t)=-16{t}^{2}+V.t+h(o)    (1)

Where:

t is the time the ball is in the air

V=47ft/s the initial upward velocity

h(o)=3ft the initial height of the ball

h(t) is the final height of the ball. If no one catches it, this will be <u>zero</u>

So, equation (1) changes to:

-16{t}^{2}+V.t+h(o)=0    (2)

Substituting the known values:

-16{t}^{2}+(47ft/s).t+3ft=0    (3)

This is a quadratic equation in the form a{t}^{2}+b.t+c=0. In order to find t we can use the quadratic formula for the roots:

t=\frac{-b\pm\sqrt{-4ac}}{2a}    (4)

Where a=-16, b=47 and  c=3

Substituting this values in (4):

t=\frac{-47\pm\sqrt{-4(-16)(3)}}{2(-16)}    (5)

t=\frac{-47\pm\sqrt{2401}}{-32}    (6)

t=\frac{-47\pm\49}{-32}    (7)

For t1:

t1=\frac{-47+49}{-32}=-0.0625 s      (8)>>>> This result does not work for us because is negative

For t2:

t2=\frac{-47-49}{-32}=3 s   (9)>>>This is the result

Therefore:

<h2> If no one catches the ball, it will be 3 s in the air</h2>
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