Is 4/100 greater than 0.2

What is the median of the following set of data?<br> 0.6, 0.5, 0.9, 0.4, 0.3, 0.7, 0.2

Alex

Answer:

Median: 0.5

Step-by-step explanation:

Arrange the following set of data from least to greatest:

0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.9

then find the middle number (the median).

since there are seven numbers in the data set we divide it, by doing this:

{0.2, 0.3, 0.4} 0.5 {0.6, 0.7 0.9}

Therefore, the median for the data set is 0.5!

(i'm sorry if you don't get it, i'm just bad at explaining)

3 0

3 years ago

Find the value of x so that (x, 12) satisfies y = 4x +4.

Elena L [17]

Plug in 12 for y and rewrite the equation.

12 = 4x + 4

Subtract 4 from both sides.

8 = 4x

Divide by 4 on both sides.

2 = x

The ordered pair is (2, 12) and x = 2.

3 0

3 years ago

A magazine reports that women trust recommendations from a particular social networking site more than recommendations from any

Misha Larkins [42]

Answer:

a) $p_A$ represent the real population proportion for women

$\hat p_A =\frac{123}{150}=0.82$ represent the estimated proportion for women

$n_A=150$ is the sample size selected for women

b) $p_B$ represent the real population proportion for male

$\hat p_B =\frac{102}{170}=0.6$ represent the estimated proportion for male

$n_B=170$ is the sample size selected for male

c) $(0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124$

$(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316$

And the 95% confidence interval would be given (0.124;0.316).

We are confident at 95% that the difference between the two proportions is between $0.124 \leq p_A -p_B \leq 0.316$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Part a

$p_A$ represent the real population proportion for women

$\hat p_A =\frac{123}{150}=0.82$ represent the estimated proportion for women

$n_A=150$ is the sample size selected for women

Part b

$p_B$ represent the real population proportion for male

$\hat p_B =\frac{102}{170}=0.6$ represent the estimated proportion for male

$n_B=170$ is the sample size elected for male

$z$ represent the critical value for the margin of error

Part c

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.82-0.6) - 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.124$

$(0.82-0.6) + 1.96 \sqrt{\frac{0.82(1-0.82)}{150} +\frac{0.6(1-0.6)}{170}}=0.316$

And the 95% confidence interval would be given (0.124;0.316).

We are confident at 95% that the difference between the two proportions is between $0.124 \leq p_A -p_B \leq 0.316$

8 0

3 years ago

The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? l/pt=r pt/l=r l-pt=r l+pt

Nadya [2.5K]

I = PRT is the formula for interest, and we need to solve it for R. Since all three of P, R, and T are multiplied, we send things to the other side of the equals through dividing.

I = PRT

I / P = RT to divide both sides by P

I / PT = R to divide both sides by T

So I / PT = R (the first choice) is the equation solved for R.

8 0

3 years ago

Read 2 more answers

4. Write the equation of the line represented by the following table (2 point):

Rom4ik [11]

The answer is y=100x+400

6 0

3 years ago