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Papessa [141]
3 years ago
8

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

You scored a 625. Calculate your z-score to the nearest hundredth (i.e. 2 decimal places).
z=
Mathematics
1 answer:
Crank3 years ago
6 0

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean(\mu) = 500 and a standard deviation(\sigma) =  100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = \dfrac{Y-\mu}{\sigma}

Z-score = \dfrac{625-500}{100}

⇒ Z-score = \dfrac{125}{100}

⇒Z-score =1.25

Therefore , the required z-score = 1.25

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tiny-mole [99]

Hello!

10 seconds to return to the ground.

7 seconds to reach 576 feet above the ground.

Find the amount of time taken to reach the ground by setting the equation equal to 0:

0 = -16t² + 80t + 800

Factor out -16 from the equation:

0 = -16(t² - 5t - 50)

Factor the terms inside of the parenthesis:

0 = -16(t - 10)(t + 5)

Find the zeros:

t - 10 = 0

t = 10

t + 5 = 0

t = -5

Time can only be positive in this instance, so the correct answer is 10 sec.

Find the time by substituting in 576 for the height:

576 = -16t² + 80t + 800

Subtract 800 from both sides:

-224 = -16t² + 80t

Rearrange:

0 = -16t² + 80t + 224

Simplify:

0 = -16(t² - 5t - 14)

0 = -16(t - 7)(t + 2)

t = 7 seconds.

8 0
3 years ago
1) IF the area of the frame was 64inches², what would be 2 possible sets of dimensions that could be used to make a frame with t
neonofarm [45]
There are infinite possibilities for this answer, let's see how:
Assuming the frame is rectangular, and it has 64 square inches, then the multiplication of the height (H) and width (W) is 64.
So H*W=64, therefore H=64/W
Any pair of numbers that fits this equation will be a possible answer.
A few examples:
H=1; W=64
H=2; W=32
H=1,23456; W= 51,840338
H=4; W=16
H=8; W=8
etc.

So, for example, one set can be 8x8 inches
another set can be 4x16 inches

if the frame were to have 5 inches and 7 inches, since 1 inch correponds to 2.5ft, then we simply must multiply the values in inches per 2.5 to get the values in feet, then it would correspond to
5*2.5=12.5 ft  and   7*2.5=17.5 ft
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3 years ago
Martin modeled the distance, y, that runners traveled during a race a function of the time, that they ran. Which would best desc
Mama L [17]

Answer:

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Step-by-step explanation:

Given

The model can be represented as:

y = f(x)

y = distance

x = time

Required

Determine the domain

This means that we list out possible values of x.

If x represents time, then it is impossible for x to be negative.

This implies that x can take any value as long as it is greater than or equal to 0.

<em>Hence, the domain is all positive real numbers</em>

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The exact same angle
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Hello there.

<span>Write 76 3/4 as a sum

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