Wow, I’m bad at equalities. I need help... again. Image has the question in it. .

Find the surface area of the prism

ratelena [41]

It is 158 in ^2 because (5 x 8) x 2 + (8 x 3) x 2 + (5 x 3) x 2 = 158

4 0

4 years ago

Table of inches and centimeters

TEA [102]

If you compare table values to answer choices, you can see right away that several don't work. The number of centimeters is greater than the number of inches, so adding to or multiplying the number of centimeters by some number more than 1 will not give you the smalller number that is inches.

While it may work for the first number (5 inches) to add 7.7 to get the first number of centimeters (12.7), you have to know that you can only add like to like. You can only add inches to inches (getting a result of inches), or centimeters to centimeters (getting a result of centimeters). From the point of view of the units involved, it is nonsensical to add a pure number to a number of inches and expect to get a number of centimeters.

So, we're down to the second choice:

- The number of inches is multiplied by 2.54 to find the number of centimeters.

_____

To find the pattern in the table, you can ...

observe that the inch values differ by 1
observe that the centimeter values differ by 2.54
realize that the constant differences mean the relation between inches and centimeters is linear, and that a change in an inch value of 1 inch is multiplied by 2.54 to find the corresponding change in centimeter value.

_____

I don't know what the first step in your problem solving process is supposed to be. In my problem solving process, the first step is always to look at what you are given. The next step is look at what you are being asked for.

8 0

3 years ago

Read 2 more answers

Refer to the random sample of customer order totals with an average of $78.25 and a population standard deviation of $22.50. a.

zysi [14]

Answer:

a) $78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

b) $78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

c) For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

d) $ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

Step-by-step explanation:

Part a

For this case we have the following data given

$\bar X = 78.25$ represent the sample mean for the customer order totals

$\sigma =22.50$ represent the population deviation

$n= 40$ represent the sample size selected

The confidence level is 90% or 0.90 and the significance level would be $\alpha=0.1$ and $\alpha/2 = 0.05$ and the critical value from the normal standard distirbution would be given by:

$z_{\alpha/2}=1.64$

And the confidence interval is given by:

$\bar X -z_{\alpha/2} \frac{\sigma}{\sqrt{n}}$

And replacing we got:

$78.25- 1.64 \frac{22.50}{\sqrt{40}}= 72.416$

$78.25+ 1.64 \frac{22.50}{\sqrt{40}}= 84.084$

Part b

The sample size is now n = 75, but the same confidence so the new interval would be:

$78.25- 1.64 \frac{22.50}{\sqrt{75}}= 73.989$

$78.25+ 1.64 \frac{22.50}{\sqrt{75}}= 82.511$

Part c

For this case when we increase the sample size the margin of error would be lower and then the interval would be narrower

Part d

The margin of error is given by:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

Solving for n we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

And replacing the info we have:

$n=(\frac{1.640(22.50)}{5})^2 =54.46 \approx 55$

3 0

3 years ago

Omar has 2 3/4 cups of dough to make dumplings. if he uses 3/16 cup of dough for each dumpling , how many whole dumplings can Om

Damm [24]

Omar can make 14 whole dumplings. You change 2 3/4 cups to an improper fraction ( multiply the denominator and add the numerator ) and you get 11/4. Since you need 3/16 cups for one dumpling you have to find the greatest common denominator which is 16. You multiply 4 by 11 to get the numerator and end up with 44/16. Since you need 3/16 for one whole dumping you divide 44 by 3 and get 14.6 repeating. You cannot have a fraction of a dumpling so you round down and get the answer 14.

7 0

4 years ago

Anyone able to help?

harkovskaia [24]

Answer:

Technically he isn't, but he is off by only 0.5 cm.

Step-by-step explanation:

To check, we can use pythagorean theorem:

22.8^2 + 13.82^2 = about 22.6

However, Mr. Lim got it as around 26.1

5 0

2 years ago

Wow, I’m bad at equalities. I need help... again. Image has the question in it. ._.