A number is written in scientific notation.

Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?) She mixes 8 cups of

Elden [556K]

Answer:

To make a gallons,

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

Step-by-step explanation:

Ms. O'Brien makes her own cleaning solution to clean her floors! (yet, she can't clean her measuring cups?)

She mixes 8 cups of water with 2 cups of vinegar.

Hence: The total number of cups for the cleaning mixture = 8 cups of water + 2 cups of vinegar = 10 cups

If she wants to make a 1 gallon mixture of her cleaning solution, how much water and how much vinegar should she add?

Note that: There are 16 cups in a gallon

Hence:

For number of cups of water:

10 cups of cleaning mixture = 8 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 8

x = 16 × 8/10

x = 12 8/10 cups of water or 12.8 cups of water

For the number of cups of vinegar

10 cups of cleaning mixture = 2 cups of water

16 cups of cleaning mixture = x

Cross Multiply

10x = 16 × 2

x = 16 × 2/10

x = 3 1/5 cups of water or 3.2 cups of vinegar

Therefore, to make a gallon

Ms. O'Brien needs

12 8/10 cups of water or 12.8 cups of water

3 1/5 cups of water or 3.2 cups of vinegar

5 0

2 years ago

How do I solve this?

Norma-Jean [14]

Answer:

Step-by-step explanation:

Base = 25 ft

height = 8 ft

Area of triangle = $\frac{1}{2}*base * height\\\\$

$= \frac{1}{2}*25 *8\\\\= 25 * 4\\\\= 100 ft^{2}$

7 0

2 years ago

Read 2 more answers

Answer questions 15 and 17 show work pls

fredd [130]

Answer:

#15) B. 30 mn^5

#17) B. 1/2

Step-by-step explanation:

The area of a trapezoid is given in the formula: 1/2(a + b) * h, where a is the length of the top of the trapezoid, b is the length of the bottom of the trapezoid, and h is the height of the trapezoid.

All of these measurements are given so all that you need to do is to substitute these values into the formula.

Substitute 3 for a, 9 for b, and 5 for h.

1/2(3 + 9) * 5

Solve inside the parentheses first. Add 3 and 9.

1/2(12) * 5

Multiply 12 and 1/2 together.

6 * 5

Multiply 6 and 5.

30

We need to figure out if the area is to the 5th or 6th power. When we added 3 and 9 together, we combined like terms so the exponent stayed to the 3rd power.

After multiplying this ^3 by the 5mn^2, the exponent becomes to the 5th power because you add exponents when multiplying.

Therefore the final answer is B. 30 mn^5.

When going down from 32 to 8 to 2, you can see that each number is being divided by 4.

32 / 4 = 8...

8 / 4 = 2...

So to find the next number in this sequence you would divide 2 by 4.

2 / 4 = 1/2

The answer is B. 1/2.

6 0

3 years ago

Point e is located at -5,2 point m is the reflection of point e what is the distance between e and m

nataly862011 [7]

Answer:

the distance is 10

Step-by-step explanation:

-5,2 to 0,0 is 5

and the refection of -5,2 is 5,2

5,2 to 0,0. is also 5

5+5=10

4 0

2 years ago

In a random sample of 75 American women age 18 to 30, 26 agreed with the statement that a woman should have the right to a legal

ddd [48]

Answer:

a) $z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

b) We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

Step-by-step explanation:

Previous concepts and data given

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".

$p_A$ represent the real population proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_A =\frac{26}{75}=0.347$ represent the estimated proportion of women age 18 to 30 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_A=75$ is the sample size for A

$p_B$ represent the real population proportion for women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$\hat p_B =\frac{21}{64}=0.328$ represent the estimated proportion of women age 58 to 70 agreed with the statement that a woman should have the right to a legal abortion for any reason

$n_B=64$ is the sample size required for B

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

The population proportion have the following distribution

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

Part a

We need to conduct a hypothesis in order to check if the proportion are equal, the system of hypothesis would be:

Null hypothesis: $p_{A} = p_{B}$

Alternative hypothesis: $p_{A} \neq p_{B}$

We need to apply a z test to compare proportions, and the statistic is given by:

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

Where $\hat p=\frac{X_{A}+X_{B}}{n_{A}+n_{B}}=\frac{26+21}{75+64}=0.338$

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.347-0.328}{\sqrt{0.338(1-0.338)(\frac{1}{75}+\frac{1}{64})}}=0.236$

Statistical decision

Since is a two sided test the p value would be:

$p_v =2*P(Z>0.236)=0.813$

If we compare the p value and using any significance level for example $\alpha=0.01$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that we don't have significant differences between the two proportions.

Part b

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 99% confidence interval the value of $\alpha=1-0.99=0.01$ and $\alpha/2=0.005$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=2.58$

And replacing into the confidence interval formula we got:

$(0.347-0.328) - 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=-0.188$

$(0.347-0.328) + 2.58 \sqrt{\frac{0.347(1-0.347)}{75} +\frac{0.328(1-0.328)}{64}}=0.226$

And the 99% confidence interval for the difference of proportions would be given (-0.188;0.226).

We are confident at 99% that the difference between the two proportions is between $-0.188 \leq p_B -p_A \leq 0.226$

5 0

3 years ago