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ollegr [7]
3 years ago
12

Point E has the same y-coordinate as point D, but the x-coordinate of point E is the opposite of the x-coordinate of point D.

Mathematics
1 answer:
SVEN [57.7K]3 years ago
6 0

Answer:

the correct one is d

Step-by-step explanation:

so out 9

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In the Salk vaccine field trial, 400,000 children were part of a randomized controlled double-blind experiment. Just about half
EastWind [94]

Answer:

Step-by-step explanation:

From the given information:

The number of children that were randomly allocated to each vaccination group; n₁ = 200,000

No of polio cases X₁ = 57

Now, in the vaccine group:

the proportion of polio cases is:

\hat p_1 = \dfrac{57}{200000}

=  0.000285

The number of children that were randomly allocated to the placebo group, n₂ = 200,000

No of polio cases X₂ = 142

In the placebo group

the proportion of polio cases is:

\hat p_2 = \dfrac{142}{200000}

Null and alternative hypothesis is computed as follows:

H₀: There is no difference in the proportions of polio cases between both groups.  

H₁: There is a difference in the proportions of polio cases between both groups.

Let assume that the level of significance ∝ = 0.05

The test statistic  can be computed as:

Z = \dfrac{\hat p_1-\hat p_2}{\sqrt{\dfrac{\hat p_1 \hat q_1}{n_1}+ \dfrac{\hat p_2 \hat q_2}{n_2}}}

Z = \dfrac{0.000285-0.000710}{\sqrt{\dfrac{0.000285(1-0.000285)}{200000}+ \dfrac{0.000710(1-0.000710)}{200000}}}

Z = \dfrac{-4.25\times 10^{-4}}{\sqrt{\dfrac{0.000285(0.999715)}{200000}+ \dfrac{0.000710(0.99929)}{200000}}}

Z = - 6.03

P-value =  2P(Z < -6.03)

From the Z - tables

P-value =  2 × 0.0000

= 0.000

We reject the H₀ provided that P-value is very less.

Therefore, we may conclude that there is a difference in the proportions of polio cases between the vaccine group and placebo group not due to chance.

7 0
3 years ago
jana is training for a triathlon that includes a 112 mile bike ride. today she rode her bike 12 miles in 45 minutes. what is Jan
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Jana can ride her bike at a rate of 16 mph

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Since one package cost $24 and each person puts $6 .you then divide 24 divided by 6 then you get four people
4 0
3 years ago
I need help on this question
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The inscribed angle is half the measure of the intercepted arc, so to find the intercepted arc you would multiply the inscribed angle by 2.


The last choice is correct.

6 0
3 years ago
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Write the inverse function for the function, ƒ(x) = 1/2x + 4. Then, find the value of ƒ -1(4). Type the answer exactly in this f
WINSTONCH [101]
We can get the inverse function by first setting f(x) = y, solving for x, and after that switching y and x. So, let's solve for x:
f(x)= \frac{1}{2}x+4
y= \frac{1}{2}x+4
2(y-4)=x
2x-4=y=f (x)^{-1}

Then, just plug in 4 for x, and solve:
2(4)-4= f (x)^{-1}
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There you have your answer.

4 0
3 years ago
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