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nalin [4]
3 years ago
9

Solve the following literal equation for b. cb + db = a

Mathematics
2 answers:
PilotLPTM [1.2K]3 years ago
7 0

Step-by-step explanation:

cd + db = a \\ b(c + d) = a \\  \frac{b(c + a)}{a + b} \\ b =  \frac{a}{c + d}

Mazyrski [523]3 years ago
7 0

Answer:

The other answer is correct

Step-by-step explanation:

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Refer to the following scenario:You want to see if there is a difference between the exercise habits of Science majors and Math
bekas [8.4K]

Answer:

1. H0: P1 = P2

2. Ha: P1 ≠ P2

3. pooled proportion p = 0.542

4. P-value = 0.0171

5. The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

6. The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

Step-by-step explanation:

We should perform a hypothesis test on the difference of proportions.

As we want to test if there is significant difference, the hypothesis are:

Null hypothesis: there is no significant difference between the proportions (p1-p2 = 0).

Alternative hypothesis: there is significant difference between the proportions (p1-p2 ≠ 0).

The sample 1 (science), of size n1=135 has a proportion of p1=0.607.

p_1=X_1/n_1=82/135=0.607

The sample 2 (math), of size n2=92 has a proportion of p2=0.446.

p_2=X_2/n_2=41/92=0.446

The difference between proportions is (p1-p2)=0.162.

p_d=p_1-p_2=0.607-0.446=0.162

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{82+41}{135+92}=\dfrac{123}{227}=0.542

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.542*0.458}{135}+\dfrac{0.542*0.458}{92}}\\\\\\s_{p1-p2}=\sqrt{0.001839+0.002698}=\sqrt{0.004537}=0.067

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.162-0}{0.067}=\dfrac{0.162}{0.067}=2.4014

This test is a two-tailed test, so the P-value for this test is calculated as (using a z-table):

\text{P-value}=2\cdot P(z>2.4014)=0.0171

As the P-value (0.0171) is bigger than the significance level (0.01), the effect is not significant.

The null hypothesis failed to be rejected.

At a signficance level of 0.01, there is not enough evidence to support the claim that there is significant difference between the exercise habits of Science majors and Math majors .

We want to calculate the bounds of a 99% confidence interval of the difference between proportions.

For a 99% CI, the critical value for z is z=2.576.

The margin of error is:

MOE=z \cdot s_{p1-p2}=2.576\cdot 0.067=0.1735

Then, the lower and upper bounds of the confidence interval are:

LL=(p_1-p_2)-z\cdot s_{p1-p2} = 0.162-0.1735=-0.012\\\\UL=(p_1-p_2)+z\cdot s_{p1-p2}= 0.162+0.1735=0.335

The 99% confidence interval for the difference between proportions is (-0.012, 0.335).

6 0
3 years ago
What is the coefficient of the y-term in the expression 4x 5xy–2y
Bad White [126]
In 5xy it would be 5x×1y and then 2y if they variable doesn't have a number infront of it it is assumed to be a One.
3 0
3 years ago
If you divide a number by a other number will it always be smaller?
ioda
No you can divide 0.5 by 0.25 and you will get 2
6 0
3 years ago
Read 2 more answers
What is 3³ equal to?​
kap26 [50]

Answer:

27

Step-by-step explanation:

3*3*3=27

5 0
3 years ago
Read 2 more answers
What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?​
blagie [28]

Answer:

1.8 x 10^3

Step-by-step explanation:

(8.1 x 10^8) / (4.5 x 10^5) = 1800

1800 = 1.8 x 10^3

3 0
3 years ago
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