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3 years ago

14

All Major League Baseball stadiums use standard measurements for their infield area. The pitcher's mound is a circle with a diam

eter of 18 feet. What is the approximate area that the pitcher's mound encompasses? Do not round your answer.

1 answer:

denis-greek [22]3 years ago

5 0

Answer:

254 4/7 or 254.34 ft² (it depends on which method you use.)

Step-by-step explanation:

To find the area of a circle, the formula is πr².

I'll use both 22/7 and 3.14 as pi, so I'll end up with two different answers. Just choose the more reliable one.

22/7 version:

22/7 * 9^2

22/7 * 81/1

1782/7

254 4/7 ft²

3.14 version:

3.14 * 9^2

3.14 * 81

314 - (3.14 * 19)

314 - 62.8 + 3.14

251.2 + 3.14

254.34 ft²

As I said, I ended up with two different answers. You also had said not to round my answer, so the 22/7 version has a mixed number.

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Pls help me math work

3241004551 [841]

Answer:

180.48 $ft^{2}$

Step-by-step explanation:

The area of a rectangle = bh

Area of a circle = π $r^{2}$

Rectangle = 8 x 10 = 80

Circle = 3.14( $8^{2}$ ) = 200.96

But because it's a hlaf circle, divide the number by 2

100.48

Now add the numbers together

180.48 $ft^{2}$

7 0

3 years ago

Read 2 more answers

. Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Def

mylen [45]

Complete Question

Suppose the weight of Chipotle burritos follows a normal distribution with mean of 450 grams, and variance of 100 grams2 . Define a random variable to be the weight of a randomly chosen burrito.

(a) What is the probability that a Chipotle burrito weighs less than 445 grams? (3 points)

(b) 20% of Chipotle burritos weigh more than what weight

Answer:

a

$P(X < 445 )= 0.3085$

b

$k = 458.42$

Step-by-step explanation:

From question we are told that

The population mean is $\mu = 450 \ g$

The variance is $var = 100 \ g^2$

The consider weight is $x = 445 \ g$

The standard deviation is mathematically represented as

$\sigma = \sqrt{var}$

substituting values

$\sigma = \sqrt{ 100}$

$\sigma = 10$

Given that weight of Chipotle burritos follows a normal distribution the the probability that a Chipotle burrito weighs less than x grams is mathematically represented as

$P(X < x ) = P ( \frac{X - \mu }{\sigma } < \frac{x - \mu }{\sigma } )$

Where $\frac{X - \mu }{\sigma }$ is equal to z (the standardized values of the random number X )

So

$P(X < x ) = P (Z < \frac{x - \mu }{\sigma } )$

substituting values

$P(X < 445 ) = P (Z < \frac{445 - 450 }{10} )$

$P(X < 445 ) = P (Z$

Now from the normal distribution table the value for $P (Z$ is

$P(X < 445 ) = P (Z$

=> $P(X < 445 )= 0.3085$

Let the probability of the Chipotle burritos weighting more that k be 20% so

$P(X > k ) = P ( \frac{X - \mu }{\sigma } > \frac{k - \mu }{\sigma } ) = 0.2$

=> $P (Z> \frac{k - \mu }{\sigma } ) = 0.2$

=> $P (Z> \frac{k - 450}{10 } ) = 0.2$

From the normal distribution table the value of z for $P (Z> \frac{k - \mu }{\sigma } ) = 0.2$ is

$z = 0.8416$

=> $\frac{k - 450}{10 } = 0.8416$

=> $k = 458.42$

6 0

3 years ago

Three times a number, increased by 1, is 25

Olegator [25]

The answer is 8.
8 x 3 = 24
24 + 1 = 25
Hope I helped :)

6 0

4 years ago

Read 2 more answers

3. Elena can make 15 pizzas in 3 hours. If the number of pizzas is represented by p and time is represented by t, Write an equat

zhuklara [117]

Answer:

Your answer is 3x = 15

Step-by-step explanation:

3x = 15

Since 3 is being multiplied by x, we divide both sides by 3. 3x/3 cancels out, and you're left with x.

15/3 = 5

x = 5

This is my take using algebraic methods.

6 0

3 years ago

We have 500 grams of a 10% salt solution. How many grams of water must be added to dulite the solution to form a 4% solution. Sh

lys-0071 [83]

Hmm, one way is this
there's 500 times 0.10 or 50 grams of salt in the water
if we want to make 50 grams=4% of everything, how much water do we need to add

50=4% of all
50=0.04 of all
divide both sides by 0.04
1250=all
so
500+what=1250
minus 500 both sides
what=750

750 grams of water

3 0

3 years ago

Read 2 more answers