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Nesterboy [21]
3 years ago
14

A superstar major league baseball player just signed a new deal that pays him a record amount of money. The star has driven in a

n average of 110 runs over the course of his career, with a standard deviation of 31 runs. An average player at his position drives in 80 runs. What is the probability the superstar bats in fewer runs than an average player next year? Assume the number of runs batted in is normally distributed.

Mathematics
1 answer:
Likurg_2 [28]3 years ago
8 0

Answer:

  about 16.7%

Step-by-step explanation:

An appropriate probability calculator can tell you the probability of being below 80 for the given normal distribution. The calculator shown below says it is about 0.167.

__

The corresponding z-value is ...

  (x -μ)/σ = (80 -110)/31 = -30/31 ≈ -0.9677

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30 years ago zoe was 2/3 as old as luke, 18 years ago zoe was 5/6 as old as luke how old are they now
barxatty [35]

Based on the mathematical statements, Zoe is 56 years old and Luke is 66 years old, now

<h3>How to determine how old they are now?</h3>

From the question, we have the following statements that can be used in our computation:

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

Let their present ages be represented as

Zoe = x

Luke = y

So, we have the following representations

<u>30 years ago</u>

Zoe was 2/3 as old as Luke

x - 36 = 2/3(y - 36)

<u>18 years ago</u>

Zoe was 5/6 as old as Luke

x - 18 = 5/6(y - 18)

So, we have the following system of equations

x - 36 = 2/3(y - 36)

x - 18 = 5/6(y - 18)

Make x the subject in x - 18 = 5/6(y - 18)

x = 5/6(y - 18) + 16

Substitute x = 5/6(y - 18) + 16 in x - 36 = 2/3(y - 36)

5/6(y - 18) + 16 - 36 = 2/3(y - 36)

Open the brackets

5/6y - 15 + 16 - 36 = 2/3y - 24

Evaluate the like terms

5/6y - 35 = 2/3y - 24

Multiply through by 6

5y - 210 = 4y - 144

Evaluate the like terms

y = 66

Substitute y = 66 in x = 5/6(y - 18) + 16

x = 5/6(66 - 18) + 16

Evaluate

x = 56

Recall that

Zoe = x

Luke = y

So, we have

Zoe = x = 56

Luke = y = 66

Hence, they are 56 and 66 years, now

Read more about equations at

brainly.com/question/2476251

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5 0
10 months ago
in a bag of marbles 1/2 of the marbles have a star on them if 8 marbles have a Star how many total marbles are in the bag​
Step2247 [10]

Answer:

Step-by-step explanation:

8x1/2

8/1 x 1/2

8/2

4

The answer is 4

8 0
3 years ago
Read 2 more answers
Original Number<br> Write as Fraction<br> 5<br> 6
Bas_tet [7]

Answer:

5/6 because it would be because the numerator would be 5 and the denominator would be 6.  

7 0
3 years ago
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PLEASE HELP ME!!!!!!!!!! I WILL MAKE BRAINLIEST
Luda [366]
#1) Non-linear
#2) ?
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Ber [7]

Answer:

The triangle should be 16 inches wide.

Step-by-step explanation:

\text {Use the Pythagorean Theorem to solve for the leg.}\\a^2 + b^2 =c^2

What we know:

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We need to solve for b. Solving for a while b is 12 would also be acceptable.

12^2 + b^2 = 20^2  \text {  OR  }   a^2 +12^2=20^2

We will use the first equation.

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3 years ago
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