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2 years ago

• What are two ways to start solving this equation? Choose BOTH.

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

5 0

Answer:

Divide both sides by-2

Use the distributive property

Step-by-step explanation:

If you divided both sides by -2, you would get n + 3 = -6.5. Then you would have to subtract 3 from both sides, so n would be -9.5.

However, if you used the distributive property, you would get -2n - 6 = 13. Then you could add 6 to both sides and get -2n = 19. Finally, to solve for n, you would divide both sides by -2 to get n = -9.5.

Hope this helps!

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(3x-8)(2xsquared4x-9) multiply and write the result in descending order

RSB [31]

Hello there, you can proceed with the multiplication of these factors using the FOIL method (which stands for first, outer, inner and last) multiply I assume that by descending order, you mean by decreasing power. If it were so, the answer is 6(x^3)12(x^2)-16(x^2)32x-27x+72.

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3 years ago

A local police chief claims that 31% of all drug-related arrests are never prosecuted. A sample of 500 arrests shows that 27% of

Elis [28]

Answer:

$z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933$

$p_v =P(Z$

If we compare the p value obtained and the significance level given $\alpha=0.02$ we have $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL reject the null hypothesis, and we can said that at 2% of significance the proportion of arrests that were not prosecuted is not significanlty less than 0.31.

Step-by-step explanation:

1) Data given and notation

n=500 represent the random sample taken

X represent the number of arrests that were not prosecuted.

$\hat p=0.27$ estimated proportion of arrests that were not prosecuted

$p_o=0.31$ is the value that we want to test

$\alpha=0.02$ represent the significance level

Confidence=98% or 0.98

z would represent the statistic (variable of interest)

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

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.31.:

Null hypothesis: $p\geq 0.31$

Alternative hypothesis: $p < 0.31$

When we conduct a proportion test we need to use the z statisitc, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.27 -0.31}{\sqrt{\frac{0.31(1-0.31)}{500}}}=-1.933$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The significance level provided $\alpha=0.02$ . The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(Z$

3 0

3 years ago

Solve this equation, and show work. worth 40 points.

krek1111 [17]

Answer:

b = - 3

Step-by-step explanation:

Please see the attachment below of the following work.

Thanks! Can I have BRAINLIEST please?

Hope this helps!

4 0

3 years ago

Read 2 more answers

D/dx(sin x/2+cos x) = (a + b cos x)/(2+cos x)^2 find a and b.

Talja [164]

Answer:

a = 1 and b = 2

Step-by-step explanation:

Using the Quotient Rule>

d/dx[(sin x)/(2+cos x) ]

= [(2 + cos x) * cosx - sin x * - sin x)] / (2 + cos x)^2

= 2cos x + cos^2x + sin ^2 x) / (2 + cos x)^2

But cos^2x + sin^2x = 1 so we have:

(1 + 2 cos x) / (2 + cos x)^2

- so a = 1 and b = 2.

7 0

3 years ago

Three of the vertices of a parallelogram are (2, 1) (4, 7), and (6, 5). What are the three possible coordinates of the fourth ve

Sphinxa [80]

You can do this without drawing even. Let's say the coordinates are
A, B and C, respectively, and we're looking for D.

If the other vertex is opposite A(2,1), it will be at B+C-A = (8, 11)
If the other vertex is opposite B, it will be at A+C-B = (4, -1)
If the other vertex is opposite C, it will be at A+B-C = (0, 3)

Explanation: think of one of the vertexes as a corner of the parallelogram and you want to travel to the opposite corner. That means you must add both vectors that represent the sides. So from A to D, you'd have to add (B-A) and (C-A). That gives us A+(B-A)+(C-A) simplifies to B+C-A.

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3 years ago