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2 years ago

Convert n √a into pure surds

Mathematics

1 answer:

Brrunno [24]2 years ago

4 0

Answer:

√n²a

Step-by-step explanation:

aaand this app needs 20 characters

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A researcher wishes to estimate the number of households with two cars. How large a sample is needed in order to be 99% confiden

solmaris [256]

Answer:

Sample size n = 1382

so correct option is D) 1382

Step-by-step explanation:

given data

confidence level = 99 %

margin of error = 3%

probability = 25 %

to find out

How large a sample size needed

solution

we know here P = 25 %

so 1 - P = 1 - 0.25

1 - P = 0.75

and we know E margin of error is 0.03 so value of Z for 99%

α = 1 - 99% = 1 - 0.99

α = 0.01

and $\frac{\alpha}{2}$ = $\frac{0.01}{2}$

$\frac{\alpha}{2}$ = 0.005

so Z is here

$Z_(\frac{\alpha}{2})$ = 2.576

sample size will be

Sample size n = $(\frac{(Z_(\frac{\alpha}{2})}{E})^2 * P * (1-P)$

put here value

Sample size n = (\frac{2.576}{0.03})^2 * 0.25 * 0.75

Sample size n = 1382

so correct option is D) 1382

3 0

3 years ago

Find the equation for the

natima [27]

Answer: i think its B

Step-by-step explanation:

4 0

3 years ago

What is the slope of a line parallel to the line on the graph?

Yuliya22 [10]

Answer:

3/4

Step-by-step explanation:

To find the slope of a line parallel to this line, we first need to find the slope of this line. Using rise/run, you get that the slope is 6/8 which simplifies to 3/4.

The slope of any two parallel lines always is the same so the slope of a line parallel to the one given would be 3/4.

5 0

2 years ago

If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?

Zielflug [23.3K]

$\sin \theta = \dfrac 2 3$

$\tan \theta < 0$

Positive sine, negative tangent, means we have a negative cosine. We're talking about the second quadrant.

$\cos^2 \theta + \sin ^2 \theta = 1$

$\cos^2 \theta = 1 - \sin ^2\theta$

$\cos \theta = \pm \sqrt{1 - \sin ^2\theta}$

We know it's negative,

$\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}$

Answer: -(1/3)√5

4 0

3 years ago

A large cooperation has quality control over its fertilizers. The fertilizes are composed of nitrogen. The fertilizer requires 3

JulsSmile [24]

Answer:

It is impossible that the mean of the sample of 100 fertilizers less than 2 mg.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 2.5 mg

Standard Deviation, σ = 0.1 mg

We are given that the distribution of percentage of nitrogen score is unknown.

Formula with sampling:

$z_{score} = \displaystyle\frac{x-\mu}{\frac{\sigma}{\sqrt{n}}}$

P( mean of the sample of 100 fertilizers less than 2 mg)

P(x < 2)

$P( x < 2) = P( z < \displaystyle\frac{2-2.5}{\frac{0.1}{\sqrt{100}}}) = P(z < -50)$

Calculation the value from standard normal z table, we have,

$P(x < 2) =0 = 0\%$

Thus, it is impossible that the mean of the sample of 100 fertilizers less than 2 mg.

4 0

3 years ago

Convert n √a into pure surds​

Convert n √a into pure surds