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2 years ago

Can you help me get the answer I’m just not sure if I’m right

Mathematics

1 answer:

zhenek [66]2 years ago

7 0

Answer:

430 $in^{2}$

Step-by-step explanation:

To find the area, use the area for a parallelogram formula:

A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.

Next, substitute the values of the base and height:

A = 20in. * 21.5 in.

Finally, simplify the multiplication:

A = 430 $in^{2}$

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Point′is the image of Q(3,−4) under a reflection across the x-axis.

gtnhenbr [62]

Answer:

Q ' (3,4)

Step-by-step explanation:

When we reflect across the x axis, the y coordinate becomes -y

Q (3,-4) becomes Q' (3,- -4)

Q ' (3,4)

8 0

3 years ago

A student was given a piece of rope and told to cut it into two equal pieces, keep one piece, and pass the other piece to the ne

lidiya [134]

1/2 because you divide it by 2 every time.

5 0

3 years ago

A sample of 50 drills had a mean lifetime of 12.17 holes drilled when drilling a low-carbon steel. Assume the population standar

zmey [24]

Using the z-distribution, it is found that the 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

We are given the <u>standard deviation for the population</u>, hence, the z-distribution is used. The parameters for the interval is:

Sample mean of $\overline{x} = 12.17$
Population standard deviation of $\sigma = 6.37$
Sample size of $n = 50$ .

The margin of error is:

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

In which z is the critical value.

We have to find the critical value, which is z with a p-value of $\frac{1 + \alpha}{2}$ , in which $\alpha$ is the confidence level.

In this problem, $\alpha = 0.95$ , thus, z with a p-value of $\frac{1 + 0.95}{2} = 0.975$ , which means that it is z = 1.96.

Then:

$M = 1.96\frac{6.37}{\sqrt{50}} = 1.77$

The confidence interval is the <u>sample mean plus/minutes the margin of error</u>, hence:

$\overline{x} - M = 12.17 - 1.77 = 10.4$

$\overline{x} + M = 12.17 + 1.77 = 13.94$

The 95% confidence interval for the mean lifetime of this type of drill, in holes drilled, is (10.4, 13.94).

A similar problem is given at brainly.com/question/22596713

6 0

3 years ago

In 2008 Alice bought a house. In 2014 she sold it for a 20% profit. In 2019 it was then sold at a 5% loss for £182,400 Work out

Wittaler [7]

Answer:

£160,000

Step-by-step explanation:

Alice bought the house in 2008 for £x.

In 2014, the house sold for a 20% profit, so it sold for 1.2x. (* see explanation below)

In 2019, the house sold for a 5% loss, so it sold for 0.95(1.2x). (* see explanation below)

In 2019, it sold for £182,400.

0.95(1.2x) = 182,400

1.14x = 182,400

x = 182,400/1.14

x = 160,000

Answer: £160,000

* Explanation of 1.2 and 0.95.

A quick way to apply a percent increase or decrease to a number is to using the following method. The number you start with is 100% of the number. If you are adding a percent to it, then add the percent to 100% and convert it to a decimal. If you are subtracting the percent, then subtract the percent from 100% and convert to a decimal. Then multiply the decimal by the original number to find the increased or decreased number.

Example of percent increase:

A book used to cost £10. The price went up by 12%. What is the new price?

100% + 12% = 112% = 1.12

1.12 * £10 = £11.20

Example of percent decrease:

A pair of trousers costs £60. It is on sale at 35% off the regular price. What is the sale price?

100% - 35% = 65% = 0.65

0.65 * £60 = £39

5 0

2 years ago

Calculate the number in the middle of 11 and 24

lutik1710 [3]

Answer:

17.5

Step-by-step explanation:

11 + 24 = 35 /2

7 0

3 years ago

Read 2 more answers