]

velikii [3]

This statement would be incorrect because 0.086 equals 8% because you move the decimal place to the right two spaces.

6 0

3 years ago

Square P and Sqare Q are similar squares. The ratio of the side length of square P to the side length of square Q is 2:7. If the

Sergeu [11.5K]

Answer:

Perimeter of square Q is 49 inches.

Step-by-step explanation:

Let x be the length of side of square P and y be that of square Q.

It is given in the question that :

$\frac{x}{y}=\frac{2}{7}$

Also it is given that x=3.5 inches.Hence

$\frac{3.5}{y}=\frac{2}{7}$

∴ y=12.25 inches.

Perimeter of square Q is 4y = $4\times12.25=49$ inches.

4 0

3 years ago

Mandy spent $75 and earned $75 number line model

noname [10]

X-75+75= x

Is a model that could be used to anaslay the question

7 0

3 years ago

The sum of a + b is an odd number if

Grace [21]

Answer:

a is an even number and b is an odd number

Step-by-step explanation:

if a is even and b is even then the sum would be even ex.10+6=16. I'd a and b are both odd the sum would be even ex. 13+9=22. one has to be odd and one has to be even for the sum to be odd ex. 5+4=9

8 0

3 years ago

A random sample of n1 = 296 voters registered in the state of California showed that 146 voted in the last general election. A r

stiv31 [10]

Answer:

The p-value of the test is 0.0139 < 0.05, which means that these data indicates that the population proportion of voter turnout in Colorado is higher than that in California.

Step-by-step explanation:

Before testing the hypothesis, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

California:

Sample of 296 voters, 146 voted. This means that:

$p_{Ca} = \frac{146}{296} = 0.4932$

$s_{Ca} = \sqrt{\frac{0.4932*0.5068}{296}} = 0.0291$

Colorado:

Sample of 215 voters, 127 voted. This means that:

$p_{Co} = \frac{127}{215} = 0.5907$

$s_{Co} = \sqrt{\frac{0.5907*0.4093}{215}} = 0.0335$

Test if the population proportion of voter turnout in Colorado is higher than that in California:

At the null hypothesis, we test if it is not higher, that is, the subtraction of the proportions is at most 0. So

$H_0: p_{Co} - p_{Ca} \leq 0$

At the alternative hypothesis, we test if it is higher, that is, the subtraction of the proportions is greater than 0. So

$H_1: p_{Co} - p_{Ca} > 0$

The test statistic is:

$z = \frac{X - \mu}{s}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, and s is the standard error.

0 is tested at the null hypothesis:

This means that $\mu = 0$

From the two samples:

$X = p_{Co} - p_{Ca} = 0.5907 - 0.4932 = 0.0975$

$s = \sqrt{s_{Co}^2+s_{Ca}^2} = \sqrt{0.0291^2+0.0335^2} = 0.0444$

Value of the test statistic:

$z = \frac{X - \mu}{s}$

$z = \frac{0.0975 - 0}{0.0444}$

$z = 2.2$

P-value of the test and decision:

The p-value of the test is the probability of finding a difference above 0.0975, which is 1 subtracted by the p-value of z = 2.2.

Looking at the z-table, z = 2.2 has a p-value of 0.9861.

1 - 0.9861 = 0.0139.

The p-value of the test is 0.0139 < 0.05, which means that these data indicates that the population proportion of voter turnout in Colorado is higher than that in California.

3 0

3 years ago