Solve for x 2x+4(2x+7)=3(2x+4)??

What is the difference between the mean and the median of the data set? (22,8 10,18,12, 20)

Lera25 [3.4K]

Answer:

mean is 8 and median is 15

Step-by-step explanation:

6 0

3 years ago

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The solution to a system of two linear equations is (4, -3). One equation has a slope of 4. The slope of the other line is the n

astraxan [27]

Answer:

Hello,

First equation is false

Second equation is true

Step-by-step explanation:

1)

(4,-3) is a point of the line y=4x-19 since

-3=?4*4-19

-3=-3

2)

(4,-3) is not a point of the line y=1/4x-2 since

-3=? 1/4*4-2

-3=? 1-2

-3≠-1

I have written that because it is difficult for me to understand

"the negative reciprocal of the slope of the first"

the negative reciprocal of 4 should be -1/4.

Equation y=1/4x-2 is false.

5 0

3 years ago

What is 30% of 70? O 10 O 14 O 18 O 21 O 28

Sedaia [141]

Answer:

your answer is 21

Step-by-step explanation:

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7 0

1 year ago

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The polygons are similar, but not necessarily drawn to scale. Find the scale factor. Find the value of x. Find the value of y.

Tatiana [17]

Answer:

x = 5

y = 9

Step-by-step explanation:

Since the scale is 2, the side of x needs to 4 because the corresponding side on the other figure is 2 (2 * 2 = 4).

So, x - 1 = 4

x = 5

Similar to the y side, the y side needs to be 10.

So, y + 1 = 10

y = 9

3 0

3 years ago

Sarah claims that the thickness of the spearmint gum she produces is 7.5 one-hundredths of an inch. A quality control specialist

satela [25.4K]

Answer:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

$p_v =2*P(t_{(9)}>1.539)=0.158$

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

Step-by-step explanation:

Data given and notation

Data: 7.65, 7.60, 7.65, 7.7, 7.55, 7.55, 7.4, 7.4, 7.5, 7.5

We can begin calculating the sample mean given by:

$\bar X = \frac{\sum_{i=1}^n X_i}{n}$

And the sample deviation given by:

$s=\sart{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}$

And we got:

$\bar X=7.55$ represent the sample mean

$s=0.103$ represent the sample standard deviation

$n=10$ sample size

$\mu_o =7.5$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is equal to 7.5 or no, the system of hypothesis would be:

Null hypothesis: $\mu = 7.5$

Alternative hypothesis: $\mu \neq 7.5$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{7.55-7.5}{\frac{0.103}{\sqrt{10}}}=1.539$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=10-1=9$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(9)}>1.539)=0.158$

Conclusion

If we compare the p value and the significance level assumed $\alpha=0.05$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis.

3 0

3 years ago

Solve for x2x+4(2x+7)=3(2x+4)??​

Solve for x2x+4(2x+7)=3(2x+4)??