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3 years ago

6

Which equation is a point slope form equation for line AB? y−6=−2(x+2) y−2=−2(x+2) y−2=−2(x+6) y−2=2(x+2) A graph with a line ru

nning through point A, with coordinates (-2, 6), and point B, with coordinates (2, -2)

1 answer:

julsineya [31]3 years ago

4 0

Answer:

y-6=-2(x+2)

Step-by-step explanation:

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Emissions of sulfur dioxide by industry sett off chemical changes in the atmosphere that result in "acid rain". The acidity of l

horsena [70]

Answer:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P value

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

Step-by-step explanation:

Data given and notation

$\bar X=4.8$ represent the sample mean

$\sigma=0.5$ represent the population standard deviation

$n$ sample size

$\mu_o =5$ represent the value that we want to test

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

z 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 lower than 5, the system of hypothesis would be:

Null hypothesis: $\mu \geq 5$

Alternative hypothesis: $\mu < 5$

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:

$z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}$ (1)

z-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:

Case n =5

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{5}}}=-0.894$

Case n =15

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{15}}}=-1.549$

Case n = 40

$z=\frac{4.8-5}{\frac{0.5}{\sqrt{40}}}=-2.530$

P-value

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

Case n =5

$p_v =P(z$

Case n =15

$p_v =P(z$

Case n =40

$p_v =P(z$

5 0

4 years ago

A bag with 10 marbles has 2 blue marbles, 4 yellow marbles, and 4 red marbles. A marble is chosen from the bag at random. What i

Fudgin [204]

Answer:

1/5

Step-by-step explanation:

There are 2 out of 10 that are blue so in fraction form thats 2/10 so when you simplify it, the simplest form is 1/5

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3 years ago

Evaluate the expression when b=9 .<br> 2/4b+8 =

polet [3.4K]

Step-by-step explanation:

2/4(9) + 8

2/36 +8

using l.c.m

2+36(8)

__________

36

2+288=290/36 =8.1

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3 years ago

Indicate whether the following statement is true or false: An exponential growth function eventually exceeds a quadratic functio

Mila [183]

The given statement is true.

In general, the growth rate of exponential functions is far greater than the quadratic function. This can be illustrated through an example.

Consider an exponential function $2^{x}$ and a quadratic function $200 x^{2} +150x+500$ .

Note that the leading coefficient of the quadratic function is far greater than the base of the exponential function but still the exponential function will exceeds the quadratic function after x = 15.664 as shown in the graph below.

Therefore, we can conclude that the given statement is correct.

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3 years ago

Read 2 more answers

Javier drove 299.6 miles on 14 gallons of gas. At

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Answer:

545.7 Miles

Step-by-step explanation:

If Javier drave 299.6 miles on 14 gallons of gas then divide 299.6 by 14 to get 21.4. Then multiply 21.4 by 25.5 to get 545.7

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3 years ago