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3 years ago

Which ordered pair is a solution of the equation? -2 - 4y = -10

Mathematics

1 answer:

Vadim26 [7]3 years ago

8 0

Answer:

the linear equation is y=2 so anything that lands on that line after it is graphed, so the option (3,2)

Step-by-step explanation:

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State whether the number 97 is prime, composite, or neither

pickupchik [31]

Answer:

Prime

Step-by-step explanation:

5 0

3 years ago

Abdul is working on a project and has cut a number of wooden blocks of equal size that are represented by this right rectangular

Valentin [98]

The amount of fabric needed to cover 8 blocks is 192cm.

<h3>How much fabric is needed to cover 8 blocks?</h3>

In order to determine the amount of fabric needed, the total surface area of the rectangular prism has to be determined. The total surface area of the rectangular prism is the sum of the areas its faces.

Total surface area of a rectangular prism = 2 (lw + wh + lh)

where:

l = length
w = width
h = height

2 x [(4 x 1/2) + (1/2 x 2) + (4 x2)] = 24cm

Fabric needed fo 8 blocks = 24 x 8 = 192cm

To learn more about rectangular prisms, please check: brainly.com/question/8890358

3 0

2 years ago

Read 2 more answers

How do I solve this equation using long polynomial division?

gulaghasi [49]

Oh okie oh gosh lol lol I don’t know

8 0

3 years ago

If Upper X overbar equals 62, Upper S equals 8, and n equals 36, and assuming that the population is normally distributed, c

marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X=62$ represent the sample mean

$\mu$ population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=36-1=35$

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that $t_{\alpha/2}=2.72$

Now we have everything in order to replace into formula (1):

$62-2.72\frac{8}{\sqrt{36}}=58.373$

$62+2.72\frac{8}{\sqrt{36}}=65.627$

So on this case the 99% confidence interval would be given by (58.373;65.627)

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0

3 years ago

Please help with 7a and 7b. The picture above is irrelevant to the problem. If possible explain or show your work. Thank you!!!!

ad-work [718]

If the ratio is 4:3 divide the larger can by 4 which in a) is 25 then multiply by 3 to get surface area of smaller can which would be 75 square inches.

In part b) do the same so 150 divided by 4 is 37.5 multiplied by 3 is 112.5 cubic inches.

It doesn't matter if it is surface area or volume you still use the same ratio of 4:3

3 0

3 years ago