I need the awnser please.

Last month you went on three hikes. one hike was2 3/4 miles long one was 1 1/2 miles long and was 3 3/4 miles long. in decimal h

creativ13 [48]

2 3/4 = 2.75

1 1/2 = 1.5

3 3.4 = 3.75

2.75 + 1.5 + 3.75 = 8

You hiked 8 miles last month in total.

8 0

3 years ago

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Find the distance represented by x

trapecia [35]

180

Explanation:
Set a equation of a ratio 120/90=x/135
And calculate!
90x=(120)(135)
90x=16200
x=180

3 0

2 years ago

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Write an equation of the line that is perpendicular to 3x - 4y equals 9 + contains (-4, -5)

Inga [223]

Slope-Intercept Form: y = mx+b, with m = slope and b = y-intercept

So perpendicular lines have slopes that are negative reciprocals to each other, but firstly we need to find the slope of the original equation. The easiest method to find it is to convert this standard form into slope-intercept.

Firstly, subtract 3x on both sides of the equation: $-4y=-3x+9$

Next, divide both sides by -4 and your slope-intercept form of the original equation is $y=\frac{3}{4}x-\frac{9}{4}$

Now looking at this equation, we see that the slope is 3/4. Now since our new line is perpendicular, this means that its slope is -4/3.

Now that we have the slope, plug that into the m variable and plug in (-4,-5) into the x and y coordinates to solve for the b variable as such:

$-5=-\frac{4}{3}*-4+b\\\\-5=5\frac{1}{3}+b\\\\-10\frac{1}{3}=b$

In short, your new equation is y = -4/3x - 10 1/3.

3 0

3 years ago

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What is list factors of 36

oksian1 [2.3K]

Answer:

36 ÷ 1 = 36

36 ÷ 2 = 18

36 ÷ 3 = 12

36 ÷ 4 = 9

36 ÷ 6 = 6

36 ÷ 9 = 4

36 ÷ 12 = 3

36 ÷ 18 = 2

36 ÷ 36 = 1

Step-by-step explanation:

The Postive Factors of 36 are therefore all the numbers we used to divide (divisors) above to get an even number. Here is the list of all Postive Factors of 36 in numerical order:

1, 2, 3, 4, 6, 9, 12, 18, and 36.

Factors of 36 include negative numbers. Therefore, all the Positive Factors of 36 can be converted to negative numbers. The list of Negative Factors of 36 are:

-1, -2, -3, -4, -6, -9, -12, -18, and -36.

How many Factors of 36?

When we counted the Factors of 36 that we listed above, we found that 36 has 9 Positive Factors and 9 Negative Factors. Thus, the total number of Factors of 36 is 18.

Factor Pairs of 36

Factor Pairs of 36 are combinations of two factors that when multiplied together equal 36. Here are all the Positive Factor Pairs of 36

1 × 36 = 36

2 × 18 = 36

3 × 12 = 36

4 × 9 = 36

6 × 6 = 36

9 × 4 = 36

12 × 3 = 36

18 × 2 = 36

36 × 1 = 36

Like we said above, Factors of 36 include negative numbers. Minus times minus equals plus, thus you can convert the Positive Factor Pair list above by simply putting a minus in front of every factor to get all the Negative Factor Pairs of 36:

-1 × -36 = 36

-2 × -18 = 36

-3 × -12 = 36

-4 × -9 = 36

-6 × -6 = 36

-9 × -4 = 36

-12 × -3 = 36

-18 × -2 = 36

-36 × -1 = 36

Factor Calculator

Do you need the factors for a particular number? You can submit a number below to find the factors for that number with detailed explanations like we did with Factors of 36 above.

5 0

2 years ago

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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