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Sloan [31]
3 years ago
10

1/3(2b + 9) = 23(b + 9/2)

Mathematics
1 answer:
romanna [79]3 years ago
8 0

B = -9/2

Hopefully this helps and this is what you're looking for.

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Why did the United States send soldiers to Vietnam?
leva [86]

Answer:

c

Step-by-step explanation:

They're hiding in the trees!

This is math class sir

5 0
3 years ago
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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
Tell whether the expression is positive or negative without evaluating.<br><br> 1/12÷(−1/4)
stealth61 [152]

Answer:

negative

Step-by-step explanation:

the answer will be negative because one fraction is negative and the other is positive. there is nothing to cancel out the negative sign

8 0
4 years ago
According to National Surveys on basic scientific knowledge, 80% of high school students can correctly state that the Earth revo
algol13

Answer:

b) Both 1,004 and 251 are greater than 10.

Step-by-step explanation:

p = 0.80

n = 1255

In order to use CLT the distribution of \hat{p} should have np and n(1-p) greater than 10.

np = 1255*0.80

np = 1004

n(1-p) = 1255*0.20

n(1-p) = 251.00

Since Both 1004 and 251 are greater than 10,

4 0
4 years ago
Indicate, in standard form, the equation or inequality that is shown by the graph. (0,4)(4,0)
Len [333]
(0,4)(4,0)
slope = (0 - 4) / (4 - 0) = -4/4 = -1

y = mx + b
slope(m) = -1
use either of ur points....(0,4)...x = 0 and y = 4
sub and find b, the y int
4 = -1(0) + b
4 = b

equation is : y = -x + 4....in standard form, it is : x + y = 4

3 0
4 years ago
Read 2 more answers
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