N/32 = 1/16

Teresa is buying glitter markers to put in gift bags The table shows the relationship between the number of gift bags and the nu

Alenkinab [10]

A dependent variable is a value that depends on how the other variables are controlled or manipulated.
Meanwhile, an independent variable, is as what its name suggests, is independent and doesn't change based on the value of other variables.
a.) The dependent variable is the number of glitter markers
b.) The independent variable is the number of gift bags
c.) The number of glitter markers Teresa needs to buy depends on the number of gift bags she has. She has to multiply
d.) The relationship is additive. The more gift bags Teresa has, the more glitter markers she has to buy.

5 0

3 years ago

The ratio of adults to children on a train in 7:2. There are 245 adults on the train. Find the total number of people on the tra

Kruka [31]

Answer:

315 people

Step-by-step explanation:

Using the given ratio, we can figure out the number of children on the train by doing cross multiplication.

Let x = # of children on train.

7/2 = 245/x

7x = 490

x = 70 children

The total number of people = 70 + 245 = 315 people total

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5 0

3 years ago

I am a number greater than $4,000 less than $6,000 by ones digit and 10 digit are the same my 10,000

snow_lady [41]

Answer:

the number is 53611

Step-by-step explanation:

mark me brainliest hope this answer helps

6 0

1 year ago

Using Prime Factorization Investigation help me

nevsk [136]

1=27
2=72
3=80
4=105
5=112

6 0

3 years ago

Suppose that a researcher is designing a survey to estimate the proportion of adults in your state who oppose a proposed law tha

irinina [24]

Answer:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

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".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{\hat p(1-\hat p)}{n}})$

Solution to the problem

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)

If solve n from equation (a) we got:

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

The margin of error desired for this case is $ME= \pm 0.02$ equivalent to 2% points

For this case we need to assume a confidence level, let's assume 95%. And since we don't have prior estimation for the population proportion of interest the best value to do an approximation is $\hat p =0.5$

In order to find the critical value we need to take in count that we are finding the margin of error for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=\pm 1.96$

Now we have all the values needed and if we replace into equation (b) we got:

$n=\frac{0.5 (1-0.5)}{(\frac{0.02}{1.96})^2}= 2401$

So without prior estimation for the population proportion, using a confidence level of 95% if we want a margin of error about 2% we need al least a sample size of 2401.

5 0

3 years ago