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3 years ago

12

part a. solve the equation 5 x - 12 = 2x - 7. in your final answer, be sure to state the solution and include all of your work.

1 answer:

nekit [7.7K]3 years ago

7 0

5x-2x=(-7)+12
3x=5
x=5/3

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The price for a TV was decreased by 20% and then by 10%. By what percent was the new price lower than the original?

Finger [1]

Let's say the tv was 100$ . Reduced by 20% means the tv is now 100 - 20 = 80% of the original price.

0.8(100) = 80$
Reduced again; by 10% means that it is now 100-10 = 90% of the 80$
0.9(80) = 72$

sale price ÷ original price

72$ / 100$ = 0.72 which is 72% of the original price. Which is a mark down of:
100 - 72 = 28%

The new price is 28% lower than the original price.

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3 years ago

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Answer

Step-by-step explanation:

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3 floors below ground level = - 3 floors below ground level

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3 degrees about 0 = + 3

3 dollars lost = -3 dollars.

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3 years ago

The sale price of a table is $472 it was 20% off what was the original price?

ira [324]

To solve, set an equation:

472=0.8x

Divide both sides by 0.8

472/0.8=0.8x/0.8

x=590

Answer: The original price was $590

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3 years ago

A study of peach trees found that the average number of peaches per tree was 725. The standard deviation of the population is 70

TEA [102]

Answer:

She needs to sample 189 trees.

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:

$\alpha = \frac{1 - 0.95}{2} = 0.025$

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

That is z with a pvalue of $1 - 0.025 = 0.975$ , so Z = 1.96.

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.

The standard deviation of the population is 70 peaches per tree.

This means that $\sigma = 70$

How many trees does she need to sample to obtain an average accurate to within 10 peaches per tree?

She needs to sample n trees.

n is found when M = 10. So

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

$10 = 1.96\frac{70}{\sqrt{n}}$

$10\sqrt{n} = 1.96*70$

Dividing both sides by 10:

$\sqrt{n} = 1.96*7$

$(\sqrt{n})^2 = (1.96*7)^2$

$n = 188.2$

Rounding up:

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