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3 years ago

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The units digit of a two digit number is 1 less than 3 times the tens digit. if the digits are reversed, the new number is 45 mo

re than the original number. find the number

1 answer:

alex41 [277]3 years ago

5 0

The units digit of a two digit number is 1 less than 3 times the tens digit. if the digits are reversed, the new number is 45 more than the original number. find the number

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A 95% confidence interval for a population mean is computed from a sample of size 400. Another 95% confidence interval will be c

Anna [14]

Answer:

The interval from the sample of size 400 will be approximately <u>One -half as wide</u> as the interval from the sample of size 100

Step-by-step explanation:

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the 95% confidence interval is dependent on the value of the margin of error at a constant sample mean or sample proportion

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{\sqrt{n} }$

Here assume that $Z_{\frac{\alpha }{2} } \ and \ \sigma \$ is constant so

$E = \frac{k}{\sqrt{n} }$

=> $E \sqrt{n} = K$

=> $E_1 \sqrt{n}_1 = E_2 \sqrt{n}_2$

So let $n_1 = 400$ and $n_2 = 100$

=> $E_1 \sqrt{400} = E_2 \sqrt{100}$

=> $E_1 = \frac{\sqrt{100} }{\sqrt{400} } E_2$

=> $E_1 = \frac{1}{2 } E_2$

So From this we see that the confidence interval for a sample size of 400 will be half that with a sample size of 100

7 0

3 years ago

A dry cleaner charges $18 to clean 4 pairs of pants. How many pairs of pants can be cleaned for $27 at the same rate?

blondinia [14]

4 pairs of pants for $18.

Divide price by quantity to get the cost of 1 pair of pants:

18 / 4 = 4.50 per pair.

Divide 27 by 4.50 to find number of pairs:

27 / 4.5 = 6

6 pairs of pants can be cleaned for $27.

5 0

4 years ago

Need help please ???

vagabundo [1.1K]

Answer:

i believe the answer is 0.75

Step-by-step explanation:

i used siri

7 0

3 years ago

PLSS HELPP BRAINLIEST AND 65 POINTS <br> pls do the graph too

Eddi Din [679]

Answer:

$\Large \boxed{ -x+65}$

Step-by-step explanation:

Two points are (0, 65) and (10, 55)

Calculate slope <em>m</em>

$\displaystyle m=\frac{y_2 - y_1}{x_2 - x_1}$

$\displaystyle m=\frac{55-65}{10-0}=-1$

Use slope-intercept form

$y=mx+b$

$y=-1x+b$

<em>b</em> is the y-intercept, y-intercept is (0,65)

$y=-1x+65$

5 0

3 years ago

Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoni

m_a_m_a [10]

Answer:

Not proportional.

Step-by-step explanation:

The values do not begin from a straight line at the origin. X begins at 2, not the origin.

4 0

3 years ago