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3 years ago

What is the missing term that makes these ratios equivalent? 1.5:3, 31.5:____

Mathematics

1 answer:

Juliette [100K]3 years ago

6 0

<h3>Answer: 63</h3>

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Work Shown:

1.5/3 = 31.5/x

1.5x = 3*31.5 cross multiply

1.5x = 94.5

x = 94.5/1.5 dividing both sides by 1.5

x = 63

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An alternative equation to solve is

1.5/31.5 = 3/x

1.5x = 31.5*3

1.5x = 94.5

The remainder of the steps are the same as in the previous section above.

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The Insure.com website reports that the mean annual premium for automobile insurance in the United States was $1,503 in March 20

stira [4]

Answer:

a) Option A)

$H_{0}: \mu \geq 1503\\H_A: \mu < 1503$

b) Point estimate of difference = -78

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $1,503

Sample mean, $\bar{x}$ = $1,425

Sample size, n = 25

Sample standard deviation, s = $160

We have to carry a hypothesis test that the mean annual premium in Pennsylvania is lower than the national mean annual premium.

a) First, we design the null and the alternate hypothesis

$H_{0}: \mu \geq 1503\text{ dollars}\\H_A: \mu < 1503\text{ dollars}$

b) Point estimate of the difference between the mean annual premium in Pennsylvania and the national mean

Point estimate of difference =

Mean annual premium in Pennsylvania - National mean

$\text{Point estimate} = \bar{x} - \mu = 1425 - 1503 = -78$

Thus,

Point estimate of difference = -78

5 0

3 years ago

Lesson 12 practice problem number 2 imath book unit 1 geomitry

Nostrana [21]

Ur not telling us how to solve or what to solve.

6 0

3 years ago

Explain how the commutative property of addition,the Associative property of addition and mental math can help you find 75.2+(57

4vir4ik [10]

Answer: The sum of 75.2+(57.376+24.8) is 157.376.

Explanation:

The commutative property of addition states that,

$a+b=b+a$

The associative property of addition states that,

$a+(b+c)=(a+b)+a$

The given expression is 75.2+(57.376+24.8).

First use commutative property of addition in the parenthesis.

$75.2+(57.376+24.8)=75.2+(24.8+57.376)$

Now use associative property of addition.

$75.2+(24.8+57.376)=(75.2+24.8)+57.376$

Now simplify the expression,

$(75.2+24.8)+57.376=100+57.376$

$(75.2+24.8)+57.376=157.376$

Therefore, the sum of 75.2+(57.376+24.8) is 157.376.

7 0

2 years ago

Read 2 more answers

#20 please help me with this Austin’s and an explanation please

s344n2d4d5 [400]

Answer:

10 2/15 hours

Step-by-step explanation:

If we have a candle that is 11 2/5 inches tall

It burns 1 1/8 inches per hour. We need to divide to see how long the candle will last

11 2/5 ÷ 1 1/8

I will convert the mixed numbers to improper fractions

11 2/5 = (5*11+2)/5 = 57/5

1 1/8 = (8*1+1)/8 = 9/8

57/5 ÷ 9/8

Copy dot flip

57/5 * 8/9

456/45

Now we change it back to a mixed number

45 goes into 456 10 times with 6 left over

10 6/45

This simplifies to 10 2/15

6 0

3 years ago

What is an easy way to solve Mixture word Problems

natulia [17]

its two ways gather all the relevant information first or throw all the non relevant information out first

4 0

3 years ago