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3 years ago

Johnny filled a 5 gallon bucket with water. How many quarts of water does Johnny have?

Mathematics

2 answers:

harkovskaia [24]3 years ago

7 0

Answer:

20 quarts

Step-by-step explanation:

in 1 gallon there is 4 quarts so if theres 5 gallons there would be 4 quarts for each, so multiply 5 by 4, becuase you need 4 quarts in every gallon, the product (answer to a multiplication problem) to that is 20. :)

xxMikexx [17]3 years ago

3 0

Answer:

20 quarts

Step-by-step explanation:

Five gallons is equal to 20 quarts.

I hope it helps.

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A bag contains:

Lady bird [3.3K]

Answer:

3/50

Step-by-step explanation:

There are 5 + 4 + 2 + 6 + 3 = 20 marbles in the bag

P(draw a black) = 6/20 = 3/10

If the black marble is replaced, then there are 20 marbles in the bag again.

P(draw a blue) = 4/20 = 1/5

P(draw a black and blue with replacement) = (3/10)(1/5) = 3/50

6 0

3 years ago

What is the factor of 31

Novosadov [1.4K]

Answer:

1 and 31

Step-by-step explanation:

They both divide by it's self to get the same number.

6 0

3 years ago

Read 2 more answers

express each of the following as product of its prime factors, giving your answer in expanded form. a) 24. b) 63. c) 84. d) 150

Alborosie

To answer this question, you can use a factor tree, or the table thing (I forgot what it’s called.)
You divide the number by one of its PRIME factors, until there is only one left. The numbers you divided it by are written as shown.
Hope this helps. :)

3 0

3 years ago

(HELP ASAP PLEASE!!)

Doss [256]

Answer:

Each shirt cost $7 and each pair of shorts cost $17 .

Step-by-step explanation:

let shirts be represented as x

let shorts be represented as y

Younger brother spent $79 on 4 new shirts and 3 pairs of shorts.

4 x + 3 y = $79 .......equation 1

Older brother purchased 7 new shirts and 8 pairs of shorts and paid a total of $185.

7 x + 8 y = $185 .......equation 2

multiply equation 1 by 7 and equation 2 by -4 and add both equations to get the value of y.

7 × (4 x + 3 y = $79) ⇒ +28 x + 21 y = $553

-4 × (7 x + 8 y = $185) ⇒ -28 x - 32 y = - $740

0 - 11 y = - $187 ⇒ -11 y = - $187

y = $\frac{- $187}{- 11}$ ⇒ y = $17

shorts = y = $17

put value of y in equation 1

4 x + 3 ( $17 ) = $79 ⇒ 4x + $51 = $79 ⇒ 4x = $79 - $51

4x = $28 ⇒ x = $\frac{$28}{4}$ ⇒ x = $7

Shirts = x = $7

8 0

3 years ago

US average math SAT scores follow a normal distribution with a mean of 505 and a standard deviation of 112. A sample of 64 enter

Hitman42 [59]

Answer:

The claim that the scores of UT students are less than the US average is wrong

Step-by-step explanation:

Given : Sample size = 64

Standard deviation = 112

Mean = 505

Average score = 477

To Find : Test the claim that the scores of UT students are less than the US average at the 0.05 level of significance.

Solution:

Sample size = 64

n > 30

So we will use z test

$H_0:\mu \geq 477\\H_a:\mu < 477$

Formula : $z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

$z=\frac{505-477}{\frac{112}{\sqrt{64}}}$

$z=2$

Refer the z table for p value

p value = 0.9772

α=0.05

p value > α

So, we accept the null hypothesis

Hence The claim that the scores of UT students are less than the US average is wrong

3 0

3 years ago