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Alex
3 years ago
7

Help!!!! Plssss!!! ASAP

Mathematics
1 answer:
zimovet [89]3 years ago
5 0

Answer:

The y-intercept is (0,-26)

Step-by-step explanation:

Given two points P(a,b) and Q(c,d), the line that passes for both points can be found with the expression

\displaystyle y-b=\frac{d-b}{c-a}(x-a)

We'll take the first two points P(34,-52) and Q(51,-65) to find

y=-\frac{13}{17}(x-34)-52\\ \\y=-\frac{13}{17}x-26

Let's verify if the third point is on the line:

y=-\frac{13}{17}68-26=-52-26=-78

It belongs to the line. To find the y-intercept of the line, we set x to 0

y=-\frac{13}{17}(0)-26=-26

The y-intercept is (0,-26)

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A doctor released the results of clinical trials for a vaccine to prevent a particular disease. In these clinical​ trials, 400 c
Soloha48 [4]

Answer:

We conclude that the vaccine appears to be​ effective.

Step-by-step explanation:

We are given that a doctor released the results of clinical trials for a vaccine to prevent a particular disease.

The subjects in group 1​ (the experimental​ group) were given the​ vaccine, while the subjects in group 2​ (the control​ group) were given a placebo. Of the 200 comma 000 children in the experimental​ group, 38 developed the disease. Of the 200 comma 000 children in the control​ group, 81 developed the disease.

Let<em> </em>p_1<em> = proportion of subjects in the experimental​ group who developed the disease.</em>

<em />p_2<em> = proportion of subjects in the control​ group who developed the disease.</em>

So, Null Hypothesis, H_0 : p_1\geq p_2       {means that the vaccine does not appears to be​ effective}

Alternate Hypothesis, H_A : p_1       {means that the vaccine appears to be​ effective}

The test statistics that would be used here <u>Two-sample z proportion</u> <u>statistics</u>;

                       T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2}  } }  ~ N(0,1)

where, \hat p_1 = sample proportion of children in the experimental​ group who developed the disease = \frac{38}{200,000} =  0.00019

\hat p_2 = sample proportion of children in the control​ group who developed the disease = \frac{81}{200,000} =  0.00041

n_1 = sample of children in the experimental​ group = 200,000

n_2 = sample of children in the control​ group = 200,000

So, <u><em>test statistics</em></u>  =  \frac{(0.00019-0.00041)-(0)}{\sqrt{\frac{0.00019(1-0.00019)}{200,000}+\frac{0.00041(1-0.00041)}{200,000}  } }

                              =  -4.02

The value of z test statistics is -4.02.

Now, at 0.01 significance level the z table gives critical values of -2.33 for left-tailed test.

Since our test statistics is less than the critical value of z as -4.02 < -2.33, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which <u>we reject our null hypothesis</u>.

Therefore, we conclude that the vaccine appears to be​ effective.

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3 years ago
How to rewrite 8 in exponential notation using 2 as the base
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3 years ago
Homework (5)
adelina 88 [10]

Answer:

28

Step-by-step explanation:

Let's set the ratio as

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If you add all the states that border an ocean and do not, you will get 48 states (because Alaska and Hawaii are not part of the continental US, as they do not touch the "main" part of the country)

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x = 4

Now, find how many states border an ocean. In our ratio, the number of states that border an ocean was 7x. Substitute x = 4 into 7x

7 * x = 7 * 4 = 28

The number of states that border an ocean is 28.

I hope this helps! Feel free to ask any questions!

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How do u work out a whole number multiplied with a decimal
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If you want to multiply a decimal by a whole number, just ignore the decimal point and multiply like normal! Then, bring the decimal point back for the answer. for example 2×0.2

first multiply 2*2=4

and then place the decimal we have one value after decimal so the answer is 0.4

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