Through (-2,2), parallel to y=x

What is the 15th term of the sequence -4, -2, 0, 2, …?What is the 15th term of the sequence -4, -2, 0, 2, …?

Dmitriy789 [7]

Answer:

24

Step-by-step explanation:

6 0

3 years ago

Please help. The numerator is an x

Sati [7]

Answer:

x = 30

Step-by-step explanation:

$\frac{x}{6} +1=6\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\frac{x}{6}+1-1=6-1\\\\Simplify\\\frac{x}{6}=5\\\\\mathrm{Multiply\:both\:sides\:by\:}6\\\frac{6x}{6}=5\times\:6\\\\Simplify\\x=30$

7 0

3 years ago

G. r. a. p. h. 24x-6y=18.

FinnZ [79.3K]

24x−6y=18 Step 1: Add 6y to both sides. 24x−6y+6y=18+6y24x=6y+18

Step 2: Divide both sides by 24.24x24=6y+1824x=14y+34

Answer: x=14y+34

6 0

3 years ago

As part of the Pew Internet and American Life Project, researchers conducted two surveys in late 2009. The first survey asked a

REY [17]

Answer:

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

Step-by-step explanation:

Before building the confidence interval we need to understand the central limit theorem and the subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

Sample of 800 teens. 73% said that they use social networking sites.

This means that:

$p_T = 0.73, s_T = \sqrt{\frac{0.73*0.27}{800}} = 0.0157$

Sample of 2253 adults. 47% said that they use social networking sites.

This means that:

$p_A = 0.47,s_A = \sqrt{\frac{0.47*0.53}{2253}} = 0.0105$

Distribution of the difference:

$p = p_T - p_A = 0.73 - 0.47 = 0.26$

$s = \sqrt{s_T^2+s_A^2} = \sqrt{0.0157^2+0.0105^2} = 0.019$

Confidence interval:

Is given by:

$p \pm zs$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Lower bound:

$p - 1.96s = 0.26 - 1.96*0.019 = 0.223$

Upper bound:

$p + 1.96s = 0.26 + 1.96*0.019 = 0.297$

The 95% confidence interval for the difference between the proportion of all U.S. teens and adults who use social networking sites is (0.223, 0.297). This means that we are 95% sure that the true difference of the proportion is in this interval, between 0.223 and 0.297.

3 0

2 years ago

How do you find the value of 4!

prohojiy [21]

Answer:

24

Step-by-step explanation:

Factorial is applicable only for natural numbers and 0.

0! =1 trivially.

FOr other numbers, factorial is defined as 1x2x...n

For example 1! = 1

2! = 1x2 = 2

and so on.

i.e. n! = product of all natural numbers from 1 to n

= 1x2x....n

Using the above

we have n =4

Natural numbers from 1 to 4 are 1,2,3,4

Find the product of these 4 natural numbers to get 4!

4! = 1x2x3x4 = 24

3 0

3 years ago