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Juliette [100K]

2 years ago

8

Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the

same rate?

2 answers:

zzz [600]2 years ago

5 0

Answer:

$0.89 in other words 89 cents

Step-by-step explanation:

$10.68/12= 0.89

Nina [5.8K]2 years ago

4 0

The answer above should be correct, but I believe it is, but can you please mark me BRAINLEST?

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Find the value of X. Then find the measure of each labeled angle.

wariber [46]

Both angles WILL have the same measure.

So,

3x-10= x+40 (you have to set the equations equal to one another)

Now, add 10 to both sides.

3x=x+50

Subtract x on both sides.

2x=50

Divide both sides by 2.

x=25

Now, plug in x.

(25 +40)= 65

(3(25)-10)= 65

x equals 25 and both angles are equal to 65. Or "B".

I hope this helps!
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Answer:

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-4 + 3y =14

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2 years ago

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Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to d

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 32 cars traveling on the highway rev

GarryVolchara [31]

Answer:

n=126

Step-by-step explanation:

Data given and previous concepts

$\bar X=60$ represent the sample mean

$s=11$ represent the sample deviation

n=32 represent the sample size

Confidence =0.95 or 95%

$\alpha =1-0.95=0.05$ represent the significance level

ME= 2 represent the margin of error required

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".

Assuming the X follows a normal distribution

$X \sim N(\mu, \sigma)$

Solution to the problem

Since we don't have the population deviation. We know that the margin of error for a confidence interval is given by:

$Me=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

The next step would be find the value of $\t_{\alpha/2}$ , $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ . The degrees of freedom are given by:

$df=n-1=32-1=31$

Using the normal standard table, excel or a calculator we see that:

$t_{\alpha/2}=2.04$

And the code in excel is this one: "=T.INV(1-0.025,31)"

If we solve for n from formula (1) we got:

$\sqrt{n}=\frac{t_{\alpha/2} s}{Me}$

$n=(\frac{t_{\alpha/2} s}{Me})^2$

And we have everything to replace into the formula:

$n=(\frac{2.04(11)}{2})^2 =125.88$

And if we round up the answer we see that the value of n to ensure the margin of error required $\pm=2 miles$ is n=126.

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