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In-s [12.5K]
3 years ago
9

a baseball league finds the speeds of pitches are normally distributed, with a mean of 89 mph and a standard deviation of 2.4 mp

h. One pitch is thrown at a speed of 85.2 mph. What is the z-score of this pitch? Round your answer to two decimal places.
Mathematics
1 answer:
olya-2409 [2.1K]3 years ago
8 0

Answer:

-1.58

Step-by-step explanation:

We have that the mean (m) is equal to 89 and the standard deviation (sd) 2.4

They ask us for P (x <85.2)

For this, the first thing is to calculate z, which is given by the following equation:

z = (x - m) / (sd)

We have all these values, replacing we have:

z = (85.2 - 89) / (2.4)

z = -1.58

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The value of f(h(2)) =2 and h(f(16))= 14

<h3>What is function?</h3>

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input . Mapping or transformation is used to denote a function in math. These functions are usually denoted by letters . The domain is defined as the set of all the values that the function can input while it can be defined. The range is all the values that come out as the output of the function involved.

given:

f(x)= √x-1 , h(x)= x² + 5

Now,

f(h(2))= f( (2)² +5 )

=f(4+5)

=f(9)

=√9-1

= 3-1

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h(f(16)) = h( √16-1)

=h( 4-1)

=h(3)

=3² + 5

=9+5

=14

Learn more about function here:

brainly.com/question/12431044

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2 years ago
What is the slope of the graph? (Example: 2/3,-4,-2/9)
mart [117]

Answer:

7/9

Step-by-step explanation:

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2 years ago
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Answer:If Mary spent half of her allowance the equation will begin with 1/2x or 0.5x where x is her allowance and 0.5 is half of her allowance spent. Mary also earned 7 dollars by washing the car so this will be added to her allowance spent.

The problem says that after Mary has spent half of her allowance at the movies she was left with 18 dollars so that means that the equation must be equal to 18.

The equation you want to set up is

0.5x+7=18

Where, 18-7=11

0.5x=11

11/.5 = x

x = $22

Thus, Mary has a weekly allowance of 22 dollars.

Step-by-step explanation:

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Explain why -4 is not a real number but -8 is two equations below of what they look like
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Ciara is naking a new outfit she needs 2 1/2 yards of the fabric for the shawl and 1 3/4 yards of fabric for the dress. If she h
valentina_108 [34]

Answer:

1 1/4 yards

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Step-by-step explanation:

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