1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ber [7]
3 years ago
5

For an intramural sports program at a particular college, the time to run one mile is recorded for 200 male students in the prog

ram. These times are approximately normal with mean 8 minutes and standard deviation 1 minute. For the same intramural sports program at the same college, the time to run one mile is recorded for 50 female students in the program. These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes. Devon participates in the intramural program for men. His best time to run the mile is 6.6 minutes. Kendall participates in the intramural program for women. Her best time to run the mile is 5.7 minutes. Who ran the mile faster relative to their gender?
Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

Devon has the lower z-score, so he ran the mile faster relative to his gender.

Step-by-step explanation:

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Who ran the mile faster relative to their gender?

The lower the percentile of time ran, the faster. So whoever has the lower z-score ran the mile faster.

Devon

His best time to run the mile is 6.6 minutes.

These times are approximately normal with mean 8 minutes and standard deviation 1 minute.

We have to find Z when X = 6.6, \mu = 8, \sigma = 1. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{6.6 - 8}{1}

Z = -1.4

Kendall

Her best time to run the mile is 5.7 minutes.

These times are approximately normal with mean 7.5 minutes and standard deviation 2 minutes.

We have to find Z when X = 5.7, \mu = 7.5, \sigma = 2. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{5.7 - 7.5}{2}

Z = -0.9

Devon has the lower z-score, so he ran the mile faster relative to his gender.

You might be interested in
How would the expression x2 +27 be rewritten using Sum of Cubes?
Alexeev081 [22]
This is a hard one but it’s either B. or D.
3 0
3 years ago
Read 2 more answers
Hey is this math problem be completely factored?<br> 5(m^2+9m)
zvonat [6]

Answer: Yes!

Step-by-step explanation:

Nothing has been distributed because there is still 5(m^2+9m) which would mean it has not been multiplied by anything yet.

3 0
3 years ago
I need more help pls and thx to who ever help
dedylja [7]
The difference is that one is bigger than the other one, and that the bigger box suface are is 180 and the other one is 22.5

Mark me BRAINLIST
3 0
3 years ago
Perform the computation and write the result in scientific notation:
gtnhenbr [62]

Answer:

6.06 x 10^{9}

Step-by-step explanation:

(5.25 x 10^{5} ) / (8.7 x 10^{-5} )

= (5.25 x 10^{5} ) x( 10^{5} )/ (8.7 )

= (5.25 x 10^{5 + 5} )/ (8.7 )

= 0.606 x 10^{10}

= 6.06 x 10^{9}

6 0
3 years ago
The graph of y = x^2 -3 is translated in 4 units to the left of the graph to give the graph A
Vedmedyk [2.9K]

Answer:

a) b = 8, c = 13

b) The equation of graph B is y = -x² + 3

Step-by-step explanation:

* Let us talk about the transformation

  • If the function f(x) reflected across the x-axis, then the new  function g(x) = - f(x)
  • If the function f(x) reflected across the y-axis, then the new  function g(x) = f(-x)
  • If the function f(x) translated horizontally to the right  by h units, then the new function g(x) = f(x - h)
  • If the function f(x) translated horizontally to the left  by h units, then the new function g(x) = f(x + h)

In the given question

∵ y = x² - 3

∵ The graph is translated 4 units to the left

→ That means substitute x by x + 4 as 4th rule above

∴ y = (x + 4)² - 3

→ Solve the bracket to put it in the form of y = ax² + bx + c

∵ (x + 4)² = (x + 4)(x + 4) = (x)(x) + (x)(4) + (4)(x) + (4)(4)

∴ (x + 4)² = x² + 4x + 4x + 16

→ Add the like terms

∴ (x + 4)² = x² + 8x + 16

→ Substitute it in the y above

∴ y = x² + 8x + 16 - 3

→ Add the like terms

∴ y = x² + 8x + 13

∴ b = 8 and c = 13

a) b = 8, c = 13

∵ The graph A is reflected in the x-axis

→ That means y will change to -y as 1st rule above

∴ -y = (x² - 3)

→ Multiply both sides by -1 to make y positive

∴ y = -(x² - 3)

→ Multiply the bracket by the negative sign

∴ y = -x² + 3

b) The equation of graph B is y = -x² + 3

4 0
3 years ago
Other questions:
  • CONSTRUCTED-RESPONSE ITEM 14. Four people each deliver food to people's homes.
    9·1 answer
  • Draw a square and shade about 1/8 of it. How did you decide how much to shade?
    14·3 answers
  • Mrs. Khavinson bought 1 3/4 kg of potatoes at $1.20 per 100g. How much did she have to pay for the potatoes?
    6·1 answer
  • 5+5+5x500 x24000000000000
    7·2 answers
  • Why do we call real solutions zeros?
    7·2 answers
  • The diameter of a sphere is 42 cm . find the surface area to the nearest tenth.
    13·1 answer
  • 18) slope and y-intercept, I need help ASAP
    12·2 answers
  • X + 2y = 3 solve for y
    6·1 answer
  • Please help, Will mark brainlist! :)
    7·1 answer
  • In kite WXYZ , m∠ZWY=43° and m∠XYW=12°.<br> What is m∠WXY?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!