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
Ratling [72]
3 years ago
8

One year had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at

his​ school, with an ERA of . ​Also, had the lowest ERA of any female pitcher at the school with an ERA of . For the​ males, the mean ERA was and the standard deviation was . For the​ females, the mean ERA was and the standard deviation was . Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)
Mathematics
1 answer:
lord [1]3 years ago
5 0

Answer:

Thomas had the better year relative to their​ peers.

Step-by-step explanation:

<u>The complete question is</u>: One year Thomas had the lowest ERA​ (earned-run average, mean number of runs yielded per nine innings​ pitched) of any male pitcher at his​ school, with an ERA of 3.31. ​Also, Karla had the lowest ERA of any female pitcher at the school with an ERA of 3.02. For the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539. Find their respective​ z-scores. Which player had the better year relative to their​ peers, or ​? ​(Note: In​ general, the lower the​ ERA, the better the​ pitcher.)

We are given that for the​ males, the mean ERA was 4.837 and the standard deviation was 0.541. For the​ females, the mean ERA was 4.533 and the standard deviation was 0.539.

As, we know that the z-score is calculated by the following formula;

                                 Z  =  \frac{X-\mu}{\sigma} ~ N(0,1)

where, \mu = population mean

           \sigma = standard deviation

Now, firstly we will calculate the z score for Thomas;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.31-4.837}{0.541}  = -2.823

{Here, the mean ERA for the males was 4.837 and the standard deviation was 0.541}

Similarly, we will calculate the z score for Karla;

z-score = \frac{X-\mu}{\sigma}

            = \frac{3.02-4.533}{0.539}  = -2.807

{Here, the mean ERA for the females was 4.533 and the standard deviation was 0.539}

Now, it is stated in the question that the lower the​ ERA, the better the​ pitcher.

So, we can clearly see that Thomas had a lower ERA of z-score as -2.823 < -2.807. This means that Thomas had the better year relative to their​ peers.

You might be interested in
Which function is a quadratic function?
Mnenie [13.5K]

Answer:

The answer is A I believe.

5 0
2 years ago
08.LCSW.1291.606.04CA2 Two Dimensional
Kryger [21]
The answer is 10 inches
3 0
2 years ago
Read 2 more answers
How do you solve 18 times 342
andriy [413]

Answer:

6,156 is the answer to the equation

8 0
3 years ago
What is the mean and standard deviation of the distribution below? ​
Colt1911 [192]
Straight I don’t really know so ima jus put random
6 0
2 years ago
FIND THE SLANT HEIGHT OF A CONE WHOSE VERTICAL HEIGHT IS 12CM AND BASE DIAMETER IS 10CM
nataly862011 [7]

Answer:

13 cm is the height of the cone

The  vertical height = 12 , the radius = 1/2 * 10 = 5, so:

s^2 = 5^2 + 12^2      where s is the slant height.

x^2 169

s = 13 cm (answer).

is the height of the cone

Step-by-step explanation:

Since the base of a cone is a circle, we substitute 2πr for p and πr2 for B where r is the radius of the base of the cylinder. So, the formula for the lateral surface area of a right cone is L. S. A=πrl , where l is the slant height of the cone .

I will give you an example try to understand it

Example) Find the volume of the cone shown. Round to the nearest tenth of a cubic centimeter.

Solution

From the figure, the radius of the cone is 8 cm and the height is 18 cm.

The formula for the volume of a cone is,

V=13πr2h

Substitute 8 for r and 18 for h .

V=13π(8)2(18)

Simplify.

V=13π(64)(18)=384π≈1206.4

Therefore, the volume of the cone is about 1206.4 cubic centimeters.

Note: this is just an example it is not really the answer hope this helps :)

7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the outlier in 1117 1465 513 437 1038 954 650 893 456 1018
    12·1 answer
  • Solve the equation log(10-4x) = log(10-3x)
    5·1 answer
  • Graph the equation 3X-y=5
    7·2 answers
  • Which of the following statements is true?
    6·2 answers
  • What is the slope of the line that goes through the points (7,10) and (3,-3)
    9·2 answers
  • Round 124,607 to the nearest hundred thousand
    10·1 answer
  • PLEASE HELPPPPPPPPPPPPPPPPPPPP
    10·1 answer
  • FIND THE VALUE OF X​
    8·1 answer
  • Please dont let this go by.. I really need help
    14·2 answers
  • Question 5 of 10<br> What is the area of the triangle below?<br> 10<br> 13
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!