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Alexxx [7]
3 years ago
10

On a standardized science test, the seniors at Fillmore High School have a mean score of 430 with a standard deviation of 90.

Mathematics
1 answer:
olasank [31]3 years ago
3 0

Answer:

For random samples of 100 seniors, 68% of the sample means fall between 340 and 520

Step-by-step explanation:

As a property of normal distribution, 68% of sample means fall between mean - sigma(430 - 90 = 340) and mean + sigma (430 + 90 = 520) (here, sigma is standard deviation).

Hope this helps!

:)

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X=25.36+0.45(25.36)<br><br> LaTeX: x=
e-lub [12.9K]

Answer:

x=36.772  

Step-by-step explanation:

Given : Expression x=25.36+0.45(25.36)

To find : Solve the expression ?

Solution :

Step 1 - Write the expression,

x=1(25.36)+0.45(25.36)

Step 2 - Apply distributive, ab+ac=a(b+c)

Here, a=25.36, b=1, c=0.45

x=25.36(1+0.45)

Step 3 - Solve the expression,

x=25.36\times 1.45

x=36.772

Therefore, x=36.772

7 0
3 years ago
According to the National Association of Colleges and Employers, the average starting salary for new college graduates in health
katen-ka-za [31]

Answer:

a) The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

b) The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

c) The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

d) A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

Step-by-step explanation:

<em>a. What is the probability that a new college graduate in business will earn a starting salary of at least $65,000?</em>

For college graduates in business, the salary distributes normally with mean salary of $53,901 and standard deviation of $15,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-53901}{15000} =0.74

The probability is then

P(X>65,000)=P(z>0.74)=0.22965

The probability that a new college graduate in business will earn a starting salary of at least $65,000 is P=0.22965 or 23%.

<em>b. What is the probability that a new college graduate in health sciences will earn a starting salary of at least $65,000?</em>

<em />

For college graduates in health sciences, the salary distributes normally with mean salary of $51,541 and standard deviation of $11,000.

To calculate the probability of earning at least $65,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{65000-51541}{11000} =1.22

The probability is then

P(X>65,000)=P(z>1.22)=0.11123

The probability that a new college graduate in health sciences will earn a starting salary of at least $65,000 is P=0.11123 or 11%.

<em>c. What is the probability that a new college graduate in health sciences will earn a starting salary less than $40,000?</em>

To calculate the probability of earning less than $40,000, we can calculate the z-value:

z=\frac{x-\mu}{\sigma} =\frac{40000-51541}{11000} =-1.05

The probability is then

P(X

The probability that a new college graduate in health sciences will earn a starting salary of less than $40,000 is P=0.14686 or 15%.

<em />

<em>d. How much would a new college graduate in business have to earn in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences?</em>

The z-value for the 1% higher salaries (P>0.99) is z=2.3265.

The cut-off salary for this z-value can be calculated as:

X=\mu+z*\sigma=51,541+2.3265*11,000=51,541+25,592=77,133

A new college graduate in business have to earn at least $77,133 in order to have a starting salary higher than 99% of all starting salaries of new college graduates in the health sciences.

8 0
3 years ago
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ExtremeBDS [4]

This question is tricky.

I think there would be B)24 people that would prefer Yellow :)


4 0
3 years ago
4x+20 3x<br> determine the value of x
nlexa [21]

Step-by-step explanation:

4x + 20 = 3x \\ x =  - 20

<h2>-20 is the right answer.</h2>
5 0
2 years ago
Create an equation with at least two grouping symbols for which<br> there is no solution
dedylja [7]
5+7-4=6
6-4=2
I’ve created two equations with no solution
5 0
3 years ago
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