When f(n)=17, what is the value of n?

Write each as an algebraic expression

erik [133]

Answer:

4^3

11>6

y>2

13-x

Step-by-step explanation:

4 is to the third power

11 is greater than 6 which means u use this sign >

y is greater than 2

13 subtract x

3 0

2 years ago

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

A craft weighs 6 kg when empty. A lemon weighs about 0.2 kg. For economical shipping the crate with lemons must weigh at least 4

Anna71 [15]

You would need 225 lemons in the crate. you just do 45 ÷ 0.2 to find the answer xx

4 0

2 years ago

Item 10

Llana [10]

If you can give me more information on this I could help you a bit more respond.