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2 years ago

In terms of geometric shapes, a slice of pizza closely resembles what?

Mathematics

1 answer:

Tatiana [17]2 years ago

6 0

Answer:

triangle

Step-by-step explanation:

It looks like a traingle

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A university planner wants to determine the proportion of spring semester students who will attend summer school. Suppose the un

ss7ja [257]

Answer:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior estimation for the population proportion we can use the value $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.112}{1.64})^2}=53.60$

And rounded up we have that n=54

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".

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by $\alpha=1-0.90=0.1$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.112$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

Since we don't have prior estimation for the population proportion we can use the value $\hat p =0.5$ . And replacing into equation (b) the values from part a we got:

$n=\frac{0.5(1-0.5)}{(\frac{0.112}{1.64})^2}=53.60$

And rounded up we have that n=54

3 0

2 years ago

Is 8 a factor of 54t - 63 ?

shepuryov [24]

Answer:

yes it is i got a hundered on my test

5 0

2 years ago

WILL GOVE BRAINIEST Kim and Tegan train for the iron man on the weekend. They bike at a constant rate of miles per hour. The tab

Rus_ich [418]

Answer:

C 210

Step-by-step explanation:

To solve this, First we must take 42/3, Since it equals 14, we take 15x14 and find 210

(edit: to solve for Kim's missing values, you do the same with 2 and 32)

6 0

2 years ago

the expression 1350(1.05)^t models the average wages, in dollar, in the us as a function of the number of years since 1930. what

barxatty [35]

Answer:

The average wage in the us increase by about five percent

Step-by-step explanation:

3 0

3 years ago

A group of friends go to a local fair. Jason spends $3.75. My has spent three times as much as Jason. Tia spend $5.25 more than

lisov135 [29]

Answer:

$16.50

Step-by-step explanation:

If Jason spends $3.75 and Maya spends three times that amount, Maya spends 3.75(3) or $11.25. If Tia spends $5.25 more than Maya, Tia spends 11.25 + 5.25 or $16.50.

4 0

3 years ago