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3 years ago

4. If a regulation handball court is 20 feet wide and 40 feet long, how many

Mathematics

1 answer:

VikaD [51]3 years ago

7 0

Answer:

80ft^2

Step-by-step explanation:

a hand ball Court as we know is a rectangle

we need a rectangle formula to solve.

Formula a=w x l. a= area w=width l= length square=^2

a= 20ft x 40ft

result a=80ft^2

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A particular brand of dishwasher soap is sold in three sizes: 25 oz, 45 oz, and 60 oz. Twenty percent of all purchasers select a

Verdich [7]

Answer:

(a) <u>Sampling distribution </u>

P(25) = 0,04

P(35) = 0.1 + 0.1 = 0,2

P(42,5) = 0.06 + 0.06 = 0,12

P(45) = 0,25

P(52,5) = 0.15 + 0.15 = 0,3

P(60) = 0,09

(b) E(X) = 45.5 oz

Step-by-step explanation:

The variable we want to compute is

$X=(X1+X2)/2$

For this we need to know all the possible combinations of X1 and X2 and the probability associated with them.

(a) <u>Sampling distribution </u>

Calculating all the 9 combinations (3 repeated, so we end up with 6 unique combinations):

P(25) = P(X1=25) * P(X2=25) = p25*p25 = 0.2 * 0.2 = 0,04

P(35) = p25*p45+p45*p25 = 0.2*0.5 + 0.5*0.2 = 0.1 + 0.1 = 0,2

P(42,5) = p25*p60 + p60*p25 = 0.2*0.3 + 0.3*0.2 = 0.06 + 0.06 = 0,12

P(45) = p45*p45 = 0.5 * 0.5 = 0,25

P(52,5) = p45*p60 + p60*p45 = 0.5*0.3 + 0.3*0.5 = 0.15 + 0.15 = 0,3

P(60) = p60*p60 = 0.3*0.3 = 0,09

(b) Using the sample distribution, E(X) can be expressed as:

$E(X)=\sum_{i=1}^{6}P_{i}*X_{i}\\E(X)=0.04*25+0.2*35+0.12*42.5+0.3*52.5+0.09*60 = 45.5$

The value of E(X) is 45.5 oz.

$\mu=\sum_{i=1}^{3}P_{i}*X_{i}\\\mu=0.2*25+0.5*45+0.3*60=45.5$

We can conclude that E(X)=μ

We could have arrived to this conclusion by applying

$E(X)=E((X1+X2)/2)=E(X1)/2+E(X2)/2\\\\\mu = E(X1)=E(X2)\\\\E(X)=\mu /2+ \mu /2 = \mu$

4 0

4 years ago

i'll give you brainliest if you show me how to do this with steps and with the CORRECT answer... the topic is linear models.

Rina8888 [55]

So the ratio would be 1:12
The total cans is 80 so you would divide 80/12 to get the answer which equals 6.6

4 0

4 years ago

Read 2 more answers

A number is four times larger than the square of half the number

Mashcka [7]

Answer:

Step-by-step explanation:

Let the number = x

Read carefully the sentence part beginning with 4 times larger

4* something

4 times larger than the square of 1/2 the number

4 * (x/2)^2

4*(x/2)^2 = x

4*x^2/4 = x

x^2 = x be very careful how you handle this. It looks like 0 might be an answer, but it isn't. If you divide x on both sides and you allow 0, you will get 0 / 0 and that is undefined. You must exclude that possibility with some sort of statement.

x cannot be 0.

x^2/x= x/x

x = 1

5 0

3 years ago

Dee Anna has a roast that weighs 5.5 pounds. The recipe she is using calls for a roast that is 80 ounces. How many ounces does s

Maslowich

Answer:

Step-by-step explanation:

well yea just trust me :)

6 0

3 years ago

Read 2 more answers

You are buying fruit to make fruit baskets apples come in bags of 20. Ornages come in bags of 16. And bananas come in bags of 32

QveST [7]

Answer:

160 basket of each fruit baskets we can make using all fruit.

Step-by-step explanation:

Given:

Oranges comes in bags = 16

Apples comes in bags = 20

bananas come in bags = 32

We need to find the greatest number of fruit baskets that you can make using all fruit.

Also Given:

You have one bag of each fruit basket must be identical.

So we will first find the least common multiple of all the numbers we get;

20 = 20,40,60,80,100,120,140,160

16 = 16,32,48,64,80,96,112,128,144,160

32 = 32,64,96,128,160

The least common multiple is 160.

Hence we can say that, 160 basket of each fruit baskets we can make using all fruit.

8 0

3 years ago