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3 years ago

8

Mr. Ammons is constructing a walkway through his rectangular Garden. The walkway runs diagonally as shown in the diagram. Which

is closest to the length of the walkway?

1 answer:

harina [27]3 years ago

5 0

Answer:

your answer will be Option B. 28.3 ft

Step-by-step explanation:

$\sqrt{15 ^{2} } + 24 ^{2} = 28.3$ or

hope it helps you...

have a great day!!

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What is the area of a parallelogram with a base of 8 m and a height of 6 m?

shtirl [24]

Answer:

48 square m

Step-by-step explanation:

The area of a parallelogram is simply b * h, where b is base and h is height. In this case, b = 8 and h = 6. So:

A = bh = 8 * 6 = 48 square m

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4 years ago

Express each rate as a unit rate $46 for 5 toys

alukav5142 [94]

You have to divide 46 by 5. The anwser would be $9.20 for 1 toy .

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3 years ago

When asked to factor the trinomial x^2-16x+64, a student gives the answer (x – 8)(x + 8). Which of the following statements is t

Murrr4er [49]

Answer:

The answer is incorrect; the plus sign should be a minus sign (apex)

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

3. A new process has been developed for applying pho toresist to 125-mm silicon wafers used in manufac turing integrated circu

dlinn [17]

Answer:

a

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

The null hypothesis is rejected

b

The 99% confidence level is $13.3930 < \mu < 13.3994$

Step-by-step explanation:

From the question we are told that

The sample size is n = 10

The population mean is $\mu = 13.4 000 \ angstroms$

The level of significance is $\alpha = 0.05$

The sample data is

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

$\= x = \frac{13.3987+ 13.3957\cdots +13.4002 }{10}$

=> $\= x = 13.3962$

Generally the sample standard deviation is mathematically represented as

$\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }$

=> $\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 + (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2 }{10} }$

=> $\sigma =0.0039$

The null hypothesis is $H_o : \mu = 13.4000$

The alternative hypothesis is $H_a : \mu \ne 13.4000$

Generally the test statistics is mathematically represented as

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

=> $z = \frac{13.3962 - 13.4000}{\frac{0.0039}{\sqrt{10} } }$

=> $z = 3.08$

Generally the p-value is mathematically represented as

$p-value = 2P( z > 3.08)$

From the z-table $P(z > 3.08)= 0.001035$

So

$p-value = 2* 0.001035$

$p-value = 0.00207$

So from the obtained value we see that

$p-value < \alpha$

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is 99% then the level of significance is

$\alpha = (100 -99)\%$

=> $\alpha = 0.01$

Generally from the normal distribution table critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 2.58$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

=> $E = 2.58 * \frac{0.0039}{\sqrt{10} }$

=> $E = 0.00318$

Generally the 99% confidence interval is mathematically represented as

$13.3962 - 0.00318 < \mu < 13.3962 + 0.00318$

=> $13.3930 < \mu < 13.3994$

7 0

3 years ago

Deandra is doing her math homework. Out of 24 problems total, she completed the first 12 problems in 1 hour and the last 12 in 3

Bezzdna [24]

Answer:

6 problems per hour

Step-by-step explanation:

Total problems = 24

she completed the first 12 problems in 1 hour

The last 12 in 3 hours.

Total time = 1 hour + 3 hours

= 4 hours

unit rate for all 24 problems = total number of problems / total time taken

= 24 problems / 4 hours

= 6 problems per hour

8 0

3 years ago