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3 years ago

3(9-8x-4x)+8(3x+4)=11 how do I work this out???

1 answer:

7 0

Remember PEMDAS is the order of operations. parenthesis,exponents,multiply,divide,add,subtract. so -8x-4x is -12x. now simplified the problem is 3(9-12x) + 8(3x+4)=11 . now I would distribute the numbers before the parentheses and it becomes 27-36x + 24x+32 =11 . now combine like terms. 59-12x =11 . subtract 59 on both sides. -12x=-48. divide -12 on both sides. x=4. :-)

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VARVARA [1.3K]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Can someone explain how to solve and graph this step-by-step?

Maslowich

(x,y)=(2,1) where the two lines intercept
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3 years ago

The point-slope form of the equation of line that passes through points (8, 4) and (0, 2) is y - 4 = 1/4(x -8). What is

Mekhanik [1.2K]

Answer:

y = 1/4x +2

Step-by-step explanation:

The slope-intercept form of the equation for a line can be found by solving the given equation for y. It can be written directly from the slope and the y-intercept.

<h3>Solve for y</h3>

It is helpful to simplify the equation first, then isolate the y-variable by eliminating non-y terms from that side of the equation.

y -4 = (1/4)(x -8) . . . . . . . given

y -4 = (1/4)x -2 . . . . . . . . eliminate parentheses

y = 1/4x +2 . . . . . . . . . . add 4. This is the desired form

<h3>Use given information</h3>

Alternatively, you can use the given information to write the slope-intercept equation directly. The slope in the point-slope form is the multiplier outside parentheses. In y-4 = 1/4(x -8), the slope is 1/4.

The y-intercept is the point where the line crosses the y-axis. Its coordinates always have an x-coordinate of 0. That is, the given point (0, 2) tells you the y-intercept is 2.

Using the slope and intercept in the slope-intercept form, you get the equation you're looking for:

y = mx +b . . . . . line with slope m and y-intercept b

y = 1/4x +2 . . . . . line with slope 1/4 and y-intercept 2

8 0

2 years ago

Patricia needs 2 pints of purple icing to decorate cupcakes. She will use the following recipe for 1 pint of purple icing.

Lerok [7]

Answer:

double

Step-by-step explanation:

double the teaspoons so you can get the amount you need for 2 pints

double the amount and then divided it

4 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