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2 years ago

Solve for b in the literal equation a b = c.

Mathematics

1 answer:

Evgesh-ka [11]2 years ago

7 0

Answer:

b = $\frac{c}{a}\\$

Step-by-step explanation:

divide both sides by a

bring the a over to the other side and put it under the c as the opposite of times is divide

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study

DIA [1.3K]

Answer:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

Step-by-step explanation:

Information provided

$X_{1}=1642$ represent the number of smokers from the sample in 1995

$X_{2}=1415$ represent the number of smokers from the sample in 2010

$n_{1}=4276$ sample from 1995

$n_{2}=3908$ sample from 2010

$p_{1}=\frac{1642}{4276}=0.384$ represent the proportion of smokers from the sample in 1995

$p_{2}=\frac{1415}{3908}=0.362$ represent the proportion of smokers from the sample in 2010

$\hat p$ represent the pooled estimate of p

z would represent the statistic

$p_v$ represent the value for the pvalue

System of hypothesis

We want to test the equality of the proportion of smokers and the system of hypothesis are:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

The statistic is given by:

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{1642+1415}{4276+3908}=0.374$

Replacing the info given we got:

$z=\frac{0.384-0.362}{\sqrt{0.374(1-0.374)(\frac{1}{4276}+\frac{1}{3908})}}=2.055$

The p value can be calculated from the alternative hypothesis with this probability:

$p_v =2*P(Z>2.055)=0.0399$

And the best option for this case would be:

C. between 0.01 and 0.05.

7 0

3 years ago

Riaz wants to use the number sentence shown to solve a problem.

BARSIC [14]

<span>B) A key chain can hold 3 keys. If there are a total of 12 keys, how many key chains are there?</span>

4 0

3 years ago

Read 2 more answers

Pete has 3 dollars less than what Linda has. If together has 81 dollars how much does each person have?

Makovka662 [10]

Answer:

Pete: 39, Linda: 42

Step-by-step explanation:

Suppose Pete has x dollars. If he has 3 dollars less than Linda, then Linda has 3+x dollars. Together, they have 81 dollars:

x+3+x=81

2x+3=81

2x=78

x=39

Since Pete has x dollars, and x=39, he has $39.

Linda has 3+x, which is 39+3 = $42

<em>I hope this helps! :)</em>

8 0

3 years ago

Help!!! Will mark Brainliest!

AleksAgata [21]

Answer:

(x-5)² + y² = 4

Step-by-step explanation:

formula of circle: (x-h)² + (y-k)² = r² where (h,k) is coordinate of center and r is radius

center: (5 , 0) r = 2

Equation: (x-5)² + y² = 4

4 0

3 years ago

30% of what number is 70

katrin2010 [14]

233 1/3

you start with .3x = 70, as this is the sentence given, solving for x.
divide both sides by .3, and you get x

6 0

3 years ago