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patriot [66]
3 years ago
10

Giving out 60 points

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0
If the markers are 4.5 inches away on the map, and 2.5 inches represents 10 miles, then we need to make ratios we can work with.

Inches / Miles: 

4.5 / x
2.5 / 10

Now, we can cross multiply to end up with:

2.5 * x = 4.5 * 10

Simplify:

2.5x = 45

Divide 2.5 on each side:

2.5x / 2.5 = 45 / 2.5

Simplify:

x = 45 / 2.5
x = 18

Awesome! Now we have a real ratio on the real distance of the markers.

<span>2.5 : 10  &  4.5 : </span><span>18.
</span>
18 miles is the actual distance between the two markers.

Hope I could help! If my math is wrong, or it isn't the answer you are looking for, please let me know!
<span>Have a good one!</span>
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Prove that 7 + 3 root 2 is not a rational number​
Tanya [424]

Answer:

Step-by-step explanation:

let 7 + 3√2 be an rational number where

7+3√2 = a/b [ a and b are coprime and b is not equal to zero]

3√2= a/b-7

3√2 =( a-7b) /b

√2 = (a-7b) /3b .....(i)

Now ,from equation (i) ,we get that √2 is rational but we know that √2 is irrational. so actually 7 + 3√2 is irrational not rational. thus our assumption is wrong. The number is irrational.

5 0
3 years ago
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Julie had 3 1/3cups of flour. A brownie called for 1 1/3 of flour. If julie made one batch of brownies,how many more batches cou
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Answer : About 2 batches of brownies

6 0
2 years ago
A research group needs to determine a 90% confidence interval for the mean repair cost for all car insurance small claims. From
lutik1710 [3]

Answer:

a) z = 1.645

b) The should sample at least 293 small claims.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645, which means that the answer of question a is z = 1.645.

Now, find  the margin of error M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

(b) If the group wants their estimate to have a maximum error of $12, how many small claims should they sample?

They should sample at least n small claims, in which n is found when

M = 12, \sigma = 124.88. So

M = z*\frac{\sigma}{\sqrt{n}}

12 = 1.645*\frac{124.88}{\sqrt{n}}

12\sqrt{n} = 205.43

\sqrt{n} = \frac{205.43}{12}

\sqrt{n} = 17.12

\sqrt{n}^{2} = (17.12)^{2}

n = 293

The should sample at least 293 small claims.

8 0
2 years ago
What is the recursive formula for 4,8, 12, 16
shtirl [24]

Answer:

looks like A, first answer, is correct when using n such that it names what value of the sequence to use like a1 = 4 and so on.

Step-by-step explanation:

4 0
2 years ago
Solve for x and y <br> 8x-2y=24
TiliK225 [7]

Answer: For y it's y=4x−12 and for x it's x=12+y/4

Step-by-step explanation:

SOLVING FOR X

8x-2y=24

2(4x−y)=24

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4x−y=12

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x=12+y/4

SOLVING FOR Y

8x-2y=24

2(4x−y)=24

4x−y=24/2

4x−y=12

−y=12−4x

y=−12+4x

y=4x−12

Hope this helps, have a BLESSED AND WONDERFUL DAY! As well as a great Black History Month and Valentine's day! :-)

- Cutiepatutie ☺❀❤

8 0
2 years ago
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