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Makovka662 [10]
3 years ago
12

I need help for this

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0
Answers is
A'= -3,3
B'=4,-1
C'=-2,0
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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.

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2 years ago
375 A system of equations is shown below.
jolli1 [7]
B is the one I would go with, multiplying everything by 3 in the equation 3 would eliminate y.
8 0
2 years ago
What is the approximate length of RP? Round to the nearest tenth. 5. 6 units 6. 1 units 8. 3 units 9. 8 units.
kirza4 [7]

The apporoximate length of the RP is 6.1 units, the correct option is B.

<h3>What is Pythagoras theorem?</h3>

The Pythagoras theorem states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of the other two sides of the right-angled triangle.

Given

QR is the tangent to circle P at point Q.

QP = 3 units and QR = 5,.3 units

The length of the RP is given by;

\rm RP=\sqrt{QP^2+QR^2} \\\\RP=\sqrt{3^2+5.3^2}\\\\ RP=\sqrt{9+28.09} \\\\RP=\sqrt{37.09}\\\\RP= 6.1 \ units

Hence, the apporoximate length of the RP is 6.1 units.

To know more about Pythagoras theorem click the link given below.

brainly.com/question/11526258

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