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2 years ago

Write an equation with the following: m=1/2 b=-9

Mathematics

2 answers:

Alex73 [517]2 years ago

8 0

Answer:

y = 1/2x - 9

Step-by-step explanation:

Substitute for y=mx+b

stellarik [79]2 years ago

6 0

Answer: y = 1/2x - 9

Step-by-step explanation:

Slope formula is y = mx + b

Substitute

y = 1/2x - 9

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Is the following number rational or irrational 0.5555?

4vir4ik [10]

Answer:

Simple.

The decimal 0.5555 is a rational number. It's a terminating decimal, since it doesn't end with an ellipsis.

4 0

3 years ago

Please help! I don't understand how to solve this problem

Ilia_Sergeevich [38]

Using the z-distribution, a sample of 142,282 should be taken, which is not practical as it is too large of a sample.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

The margin of error is:

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

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

Assuming an uniform distribution, the standard deviation is given by:

$S = \sqrt{\frac{(4 - 0)^2}{12}} = 1.1547$

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The sample size is found solving for n when the margin of error is of M = 0.006, hence:

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

$0.006 = 1.96\frac{1.1547}{\sqrt{n}}$

$0.006\sqrt{n} = 1.96 \times 1.1547$

$\sqrt{n} = \frac{1.96 \times 1.1547}{0.006}$

$(\sqrt{n})^2 = \left(\frac{1.96 \times 1.1547}{0.006}\right)^2$

n = 142,282.

A sample of 142,282 should be taken, which is not practical as it is too large of a sample.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

1 year ago

An elephant at the zoo lost 32 pounds over 8 months. The elephant lost the same amount of weight each month. Enter an integer th

inna [77]

Answer:

<em> He would loose 4lbs. a Month 32/8=4</em>

Step-by-step explanation:

<em>First thing you need to do is to get the months down to one. so you need to divide 32/8 to get the pounds per month</em>

3 0

3 years ago

Read 2 more answers

Bob's Gift Shop sold 600 cards for Mother's Day. One salesman, Victoria, sold 10% of the cards sold for Mother's Day. How many c

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

600*10%

8 0

2 years ago

Mr. Itol's assistant takes twice as long to complete a computer task as Mr. Itol. If it takes both experts 6 hours to complete t

Lesechka [4]

So, in order to solve this problem, I will set up an equation. First, let's make x= the # of hours it takes Mr. Itol to complete a computer task, and since his assistant takes twice as long, lets make 2x=the # of hours it takes the assistant to complete the task. We also know that it takes the two of them 6 hours to complete the task together. We can now set up the following equation:

$\frac{1}{2x} + \frac{1}{x} = \frac{1}{6}$

Now, in order to be able to solve this, we have to find the least common denominator, and then we can cancel out the denominators to solve for the top part. The LCD=6x and the new equation becomes:

$\frac{3}{6x} + \frac{6}{6x} = \frac{x}{6x}$

Now, we can get rid of the denominators, and we get:

$3+6=x$

So, x= 9

Now we know that Mr. Itol would take 9 hours to complete the task if he were to do it himself. To find how long it would take his assistant to complete the same task by himself, we just need to plug in the x-value into 2x:

$2(9)=18$

Therefore, your answer is that Mr. Itol would take 9 hours to do the job alone, while his assistant will take 18 hours (double the time) to do the job alone.

Hope this helps :)

4 0

2 years ago