Probability theory predicts that there is a 22.4% chance of a particular soccer player making four penalty shots in a row. If the soccer player taking four penalty shots is simulated 2500 times, in about how many of the simulations would you expect at least one missed shot?

Answers

Answer 1

Answer: If there is a 22.4% chance that a soccer player will make 4 shots in a row, then the probability that he/she WON'T make 4 shots in a row is...

100 -22.4 = 77.6%

So the number of simulations that he/she will miss at least one shot in 2500 simulations would be...

2500 x 77.6% =
2500 x .776 = 1940

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jenny`s mom says she has an hour before it's bedtime. Jenny's spends 3\5 of hour texting a friend and 3\8 of the remaining time brushing her teeth and putting on her pajamas. she spends the rest of the time reading her book. how long did jenny read?

Answers

15 minutes

Further explanation

Given:

Jenny has an hour before its bedtime.
Jenny spends $(3)/(5)$ of an hour texting a friend and $(3)/(8)$ of the remaining time brushing her teeth and putting on her pajamas.
She spends the rest of the time reading her book.

Question:

How long did Jenny read?

The Process:

Step-1: We need to calculate the time of texting a friend in minutes.

Recall that $\boxed{1 \ hour = 60 \ minutes}$

$\boxed{(3)/(5) \ hour = \ ? \ minutes}$

$\boxed{(3)/(5) \ hour = (3)/(5) * 60 \ minutes}$

We crossed out 5 and 60, i.e., $\boxed{60 / 5 = 12}$

$\boxed{(3)/(5) \ hour = 3 * 12 \ minutes}$

Therefore,

$\boxed{\boxed{ \ (3)/(5) \ hour = 36 \ minutes \ }}$

Step-2: Let us calculate the remaining time.

$\boxed{60 \ minutes - 36 \ minutes = 24 \ minutes }$

Step-3: Jenny spends $(3)/(8)$ of the remaining time brushing herteeth and putting on her pajamas.

$\boxed{(3)/(8) * 24 \ minutes}$

We crossed out 8 and 24, i.e., $\boxed{24 / 8 = 3}$

$\boxed{= 3 * 3 \ minutes}$

$\boxed{\boxed{ \ 9 \ minutes \ }}$

Step-4: Let us calculate how long Jenny read for the rest of time.

$\boxed{24 \ minutes - 9 \ minutes = 15 \ minutes }$

Thus, Jenny spent 15 minutes reading a book before its bedtime.

- - - - - - - - - -

Quick Steps:

Let us calculate how long Jenny read for the rest of time.

$\boxed{ \ = \bigg(1 - (3)/(8) \bigg) * \bigg(1 - (3)/(5) \bigg) * 60 \ minutes \ }$

$\boxed{ \ = (5)/(8) * (2)/(5) * 60 \ minutes \ }$

$\boxed{ \ = (10)/(40) * 60 \ minutes \ }$

$\boxed{ \ = (1)/(4) * 60 \ minutes \ }$

$\boxed{\boxed{ \ 15 \ minutes \ }}$

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Keywords: Jenny, has an hour, before its bedtime, spends 3/5 of an hour, texting a friend, 3/8 of the remaining time, brushing her teeth, putting on her pajamas, reading her book

First you'll need to get the same denominator. So instead of 3/5 and 3/8 you'll have 24/40 and 15/40. Now that we've changed the value of the denominator, the 40/40 will now represents the 1 hour that Jenny has before bedtime. So you add 24/40 and 15/40 and get 39/40. 39/40 stands for the time that Jenny has already spent brushing her teeth and texting her friend all together. Since the 1 hour is 40/40 subtract 39/40 from it to get 1/40. 1/40 is equal to the rest of the time Jenny spends reading or 1.5 minutes.

Ms. Luna is waterproofing the top of a rectangular wood deck. The width of the deck is 3 m less that the length. The length is 8m. What is the area to be waterproofed?

Answers

If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

What is Rectangle?

A rectangle is a quadrilateral with four right angles

The area of Rectangle is length times of width.

Given that Ms. Luna is waterproofing the top of a rectangular wood deck.

The width of the deck is 3 m less that the length.

Width=Length-3

Length=8

Area of rectangle=Length×Width

=Length×(Length-3)

=8×(8-3)

=8×5

=40 m²

Hence, If the width of the deck is 3 m less that the length. The length is 8m. then the area to be waterproofed is 40 m²

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Answer:

40 m

Step-by-step explanation:

First we have to find the width. the width is 3 less than the length, which is 8... so the width is 5. Area is found by multiplyign length times width to get 40 m.

Subtract -2x^2+3x-9
from 8x^2+10x-10

Answers

Answer:

-6x^2 - 7x +1

Step-by-step explanation:

2x^2+3x-9 -(8x^2+10x-10)

3x^2+3x-9 -8x^2-10x+10

Combine like terms

-6x^2 - 7x +1

Copy and complete the table for the sequence 3n-1 Term number Term 3n-1
1
2
3.

Answers

3n-1

where n = 1 ; n = 2 ; n = 3

3(n) - 1 = 3(1) - 1 = 3 - 1 = 2
3(n) - 1 = 3(2) - 1 = 6 - 1 = 5
3(n) - 1 = 3(3) - 1 = 9 - 1 = 8

Steven has a rectangular rug with a perimeter of 16 feet. The width of the rug is 5 feet.What is the length of the rug

Answers

The Length would be 3

5+5= 10
16-10 =6 / 2 =3

A certain aquarium holds 20 gallons of water. How many quarts of water does the aquarium hold?

Answers

The aquarium holds 80 quarts of water.

We have,

In the United States customary system, there are 4 quarts in 1 gallon.

This conversion factor is a constant ratio that allows us to convert between gallons and quarts.

So, when we have 20 gallons of water, we can multiply it by the conversion factor of 4 quarts/gallon to find out how many quarts it is equivalent to:

20 gallons x 4 quarts/gallon = 80 quarts

Therefore,

The aquarium holds 80 quarts of water.

The conversion factor helps us determine the equivalent amount of one unit to another.

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Let's find out what 1 gallon of water is first.1 gallon is equivalent to 4 quarts.20 gallon is equivalent to 80 quarts.What we do here is to multiply: 20 gallons • 4 quarts = 80 quartsThe answer is 80 quarts.

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