If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet

Answers

Answer 1

Complete Question

Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 220 feet and a standard deviation of 40 feet. Let X = distance in feet for a fly ball.

If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 194 feet

Answer:

The value is [tex]P(X < 194 ) = 0.25785[/tex]

Step-by-step explanation:

From the question we are told that

  The mean is  [tex]\mu = 220 \ feet[/tex]

   The standard deviation is  [tex]\sigma = 40 \ feet[/tex]

   

Generally the probability that this ball traveled fewer than 194 feet is mathematically represented as

       [tex]P(X < 194 ) = P(\frac{X -\mu}{\sigma } < \frac{194 - 220}{40} )[/tex]

Generally   [tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]

         [tex]P(X < 194 ) = P(Z < -0.65 )[/tex]

From the z-table the probability of  [tex](Z < -0.65 )[/tex]

      [tex]P(Z < -0.65 ) = 0.25785[/tex]

So  

     [tex]P(X < 194 ) = 0.25785[/tex]

   


Related Questions

lines A and B are parallel,lines x and y are transversals. if angle 2 is 57 degrees and angle 3 is 85 degrees,find the measure of angle 5 will mark brainest​

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Answer:

38

Step-by-step explanation:

see attached

17. The area of the large square below is 49 centimetres squared. What are the side lengths of the shaded triangle?

Answers

Answer:

12.25,12.25,7

Step-by-step explanation:

Formula of Area of square= length x breadth

In a square all side are equal as we all know that which means if the Area of the square is [tex]49cm^{2}[/tex] if we take the root of 49 it gives us 7 so the length and breadth of the square is equal to 7 as shown in my figure i uploaded. Please excuse my professional drawing skills ( pun intended :D)

The dotted lines i assume shows that sides are being bisected into two equal halves which means the whole side equals 7cm and the half is 7/2 equals 3.5cm so the bottom half side of the triangle is 7cm but the two slant heights we have to find we can find it by using phythogra's theorem

(Hypotnuse)^2=(Length^2) x (Breadth)^2

we need to find just one side of the hypotnuse/slant height then we multiply it by 2 which would gives us both of our hypotnuse sides so

(Hypotnuse)^2= (3.5)^2 x (3.5)^2

(Hypotnuse)^2=150.0625

Apply square root on both sides gives us

[tex]Hypotnuse = 12.25[/tex]

Since the traingle is covered by two slant height's the sides of the traignle are 12.25cm 12.25cm and 7cm

So what s the meaning for X and Y

Answers

The first x is the horizontal coodinate (abscisa) and second is the vertical coordinate (ordenate). Both are coordinates. (x,y) has the meaning of a complex number: x is the real part and y is the imaginary part: x+yi. (x,y) has the meaning of a plane's vector from origin of coordinates.

PLS HELP! CLICK HERE!!!!!

Answers

Answer:

its 2

Step-by-step explanation:

bc i said so period

If x = 34, y = 53, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth.


0.74 units
1.17 units
1.64 units
2.14 units

Answers

Answer:

2.14 units

Step-by-step explanation:

TO FIND AB:

sin 34=AC/AB

AB=AC/sin34=4/sin34=7.15

TO FIND AD:

sin 53=AC/AD

AD=AC/sin53=4/sin53=5.00

difference in length:

AB-AD=7.15-5.00=2.14 units

Answer:

the answer is 2.14 units

Step-by-step explanation:

took the test and got it right

Brainliest pls

Which expression is equivalent to the distance between -13 and -4 on a number line? I need some help

Answers

Answer:

9

Step-by-step explanation:

To solve this count from -4 and -13. So counting, we go -5, -6, -7, -8, -9, -10, -11, -12, and -13. To get from -4 to -13 we counted 9 numbers and that gets you your answer of nine. Hope that helps!

Which equation has no solution? plsss helpppp

Answers

Answer:

Step-by-step explanation:

b

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Answers

Answer: a, b, d

Step-by-step explanation: don’t count me on it

Answer:

B, D

Step-by-step explanation:

just find the common denominator and see if it works

C - x = r - d , for x

Answers

Answer:

x = C+d-r

Step-by-step explanation:

C - x = r - d

-x = r - d - C

x = -(r - d - C)

x = -r+d+C

x = C+d-r

Four zeros of a 5th degree polynomial are 12,3,-5 and 1+2i. What is the 5th zero in this polynomial

Answers

Answer:

1-2i

Step-by-step explanation:

complex roots come in conjugate pairs

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Answers

*The answer is the first one

I’m step 1, the difference of 1.5 x (-3.2) and 1.5 x (2.5) should be written as a sum

For example the right next step you be

1.5 x (-3.2) + 1.5 x (2.5)

And therefore giving you the final result of

= -4.8 + 3.75
= -1.05

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Which situation is represented by the equation 6x = 4x + 18? a, James paid $18 for 4 books. What is the cost of one book? b. James paid the same amount for 6 books as he did for 4 books and a CD that costs $18. What was the cost of each book? c. Six times a number is the same as 4 times the number decreased by 18. What is the number x? d. Six more than the number of red beads in a bag is the same as 18 more than 4 times the number of red beads in the bag. What is x, the number of red beads in the bag,



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Answers

Answer:

B

Step-by-step explanation:

Option B best displays/showcases the equation of 6x = 4x +18

Find the measure of the indicated angle.
14
?
29

Answers

Answer:

15

Step-by-step explanation:

I guess it is 29-14 which obviously is 15 as we know

To make the expression 4x−2+□(2x+4) equivalent to 2(6x+7), what must be the value in the box? PLSSSSS HELLPPP

Answers

Answer:

4 goes in the box

Step-by-step explanation:

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

Let the value inside the box be 'y'. Then the equation is given as,

4x − 2 + y(2x + 4) = 2(6x + 7)

Simplify the equation, then we have

4x − 2 + y(2x + 4) = 2(6x + 7)

4x − 2 + y(2x + 4) = 12x + 14

y(2x + 4) = 8x + 16

y = 4(2x + 4) / (2x + 4)

y = 4

The solution of the equation 4x − 2 + y(2x + 4) = 2(6x + 7) will be 4.

More about the solution of the equation link is given below.

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Need help with both 7 and 8

Answers

You are correct with both
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Answers

for this one you basically just plug the numbers in the left column into the f(x) function.
1. 0
2. 4
3. 8
4. 12
5. 16
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Which ordered pairs are solutions to the equation 5x+12y = 12?
Select the correct answer below:
a. (0,1)
b. (7,-6)
c. (6,5)
d. (2,3)
e. none of the above

Answers

(0,1) Click on the image to see the answers

Multiply 2 3/4 x 1 1/3. Write your answer in simplest form

Answers

so , bro to multripy fractions , you have to convert the mixed fraction into unlike fractions . so lets get started.

2 3/4  *  1 1/3

= 12 / 4  * 4/3

now multiply normally

= 48 / 12

divide this by 4/4 to get simplest for

= 12 / 3 divided by 3/3

= 4/1

Step-by-step explanation:

There is a parade coming through town, the route is 2 miles long with 10 foot wide sidewalks along each side. If the crowd is approximately 5 people per 16 square feet, how many people are estimated to be watching?

Answers

Answer:

66 000 people

Step-by-step explanation:

Hi there !

1 mile = 5280 feet

2 miles = 2×5280ft = 10 560 feet

Area = 2(10560ft×10ft) = 2×105600ft² = 211200 ft²

How many people are estimated to be watching?

16 ft² ................ 5 people

211200 ft².........x people

x = 211200×5/16

= 1056000/16

= 66 000 people

Good luck !

-2x + 12 = -2(x – 6)

Answers

Answer:

true for all x

Step-by-step explanation:

-2x + 12 = -2(x – 6)

Distribute

-2x+12 = -2x+12

Add 2x to each side

12 =12

Since this is always true, there are infinite solutions

x is all real numbers

What values are the solutions for x2 + 2x = 8?

Answers

Answer:

x=4,-2 hope this helps!!

Step-by-step explanation:

Ben is training for a triathlon he runs 1/5 of a mile in 1/20 of an hour he swims 2/3 of a mile in 1/9 of an hour he bikes for miles in 1/4 of an hour at these rates how many minutes does it take Ben to run 2 miles and bike 8 miles?

Answers

Answer:120 minutes

Step-by-step explanation:

You see it's math

Answer:

110

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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7. x=3

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Answers

Answer:

A. It is not a function because 0 outputs multiple items

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Step-by-step explanation:

Match the number with its opposite.

Match Term Definition
9.2 A) 2.9
−2.9 B) −9.2
−1.4 C) −4.1
4.1 D) 1.4

Answers

9.2 - B
-2.9 - A
-1.4 - D
4.1 - C

Explanation: the opposite of a number is the same number with the sign flipped

Answer:

9.2 - B

-2.9 - A

-1.4 - D

4.1 - C

Step-by-step explanation:hope this helps

FIRST RIGHT GETS BRAINLIEST

Answers

Answer:

20

Step-by-step explanation:

every line is a multiple of 2.

Answer:

The answer is 20

Step-by-step explanation:

The first line is 0 then is goes by two

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Spencer is 10 years old. His age is two years less than three times his sister's age. How old is Spencer's sister?

Answers

so she is 24
10-2= 8
8 x 3= 24

The age of Spencer's sister is 4 years old.

What is an Equation?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given that, Spencer is 10 years old. His age is two years less than three times his sister's age.

Let the age of Spencer's sister be x

According to the question,

3x - 2 = 10

3x = 10 +2

3x = 12

x = 12/3

x = 4

Hence, The age of Spencer's sister is 4 years old.

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Which decimal number is equal to 18?


0.125

0.125¯¯¯¯¯

0.125¯¯¯¯

0.125¯

Answers

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

A business owner wants to have the front row window.

Look at the photo please I will name Brainlyest

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It’s 3
Y= Mx+b
119=19x+64
57=19x
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Write the equation of the line containing point (-3, 2) and having a slope of 6.

Answers

Answer:

y + 2 = 6(x - 3)

Step-by-step explanation:

Point-Slope Form: y + y₁ = m(x + x₁)

Simply plug in your known variables into the point-slope form to find your equation:

y₁ = 2

x₁ = -3

m = 6

y + 2 = 6(x - 3)

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