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Reika [66]
3 years ago
11

I need help on this problem please help me.

Mathematics
1 answer:
a_sh-v [17]3 years ago
3 0

Answer:

150 mL

Step-by-step explanation:

Let x represent the quantity of 75% solution needed. The total amount of alcohol in the 60% mixture will be ...

75%·x + 10%·45 = 60%·(x+45) . . . . . there will be x+45 mL of solution in the end

0.15x = 22.5 . . . . . . . . . . . . . . . . . . . . simplify, subtract .60x+4.5

22.5/0.15 = x = 150 . . . . . . . . . . . . . . mL of 75% solution needed

You will need 150 mL of the 75% solution.

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Use the number line above to correctly compare the following numbers.
tatyana61 [14]

Answer:

C

Step-by-step explanation:

9/4= 2.25

PIE=3.14

The square root of 12.96= 3.6

so the only answer that could be correct is C because 9/4 is bigger than PIE

3 0
3 years ago
HELPPPPPPPPPPPPPP PART 4
stellarik [79]

Answer:

13) 1

14) st^3

15) m^-2n^-2

Step-by-step explanation:

13) \:  \frac{xy}{xy}  = 1

14) \:   \frac{ {s}^{2} {t}^{4}  }{st}  = s {t}^{3}

15) \:  \frac{ {m}^{2} {n}^{2}  }{m{}^{4} n ^{4} }  =  {m}^{ -2}  {n}^{ - 2}

The above solutions are basic mathematical division operation.

5 0
3 years ago
TDaP is a booster shot that prevents Diphtheria, Tetanus, and Pertussis in adults and adolescents. It should be administered eve
tiny-mole [99]

Answer:

Yes. There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

P-value = 0.00013.

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

Then, the null and alternative hypothesis are:

H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2> 0

The significance level is 0.05.

The sample 1 (Group 1), of size n1=145 has a proportion of p1=0.124.

p_1=X_1/n_1=18/145=0.124

The sample 2 (Group 2), of size n2=355 has a proportion of p2=0.037.

p_2=X_2/n_2=13/355=0.037

The difference between proportions is (p1-p2)=0.088.

p_d=p_1-p_2=0.124-0.037=0.088

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

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{18+13.135}{145+355}=\dfrac{31}{500}=0.062

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{0.062*0.938}{145}+\dfrac{0.062*0.938}{355}}\\\\\\s_{p1-p2}=\sqrt{0+0}=\sqrt{0.001}=0.024

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.088-0}{0.024}=\dfrac{0.088}{0.024}=3.68

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

\text{P-value}=P(z>3.68)=0.00013

As the P-value (0.00013) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the proportion of individuals who caught pertussis and were not up to date on their booster shot is higher than those that were.

8 0
3 years ago
(4,-5); y = -x-6<br> Write an equation passing through the point and parallel to the given line
sergeinik [125]
57485 tech 5849=584
5 0
3 years ago
Lindsay is sewing a square quilt with 118 square feet of fabric without any overlap. Which measurement is closest to the side le
Ierofanga [76]

Answer:

<h3>11ft</h3>

Step-by-step explanation:

Using the formula finding the area of a square.

Area of a square =L²

L is the length of the quilt

Given area of the square quilt = 118ft²

Substituting into the formula;

118 = L²

square root both sides

√L² = √118

L = √118

L = 10.86ft

L ≈ 11ft

The measurement that is closest to the side length of this quilt in feet is 11ft

8 0
3 years ago
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