How many ml of 3 acetic acid must be mixed with 15 acetic acid to give 2500 ml of 10 % acetic acid

Triangle + triangle + square = 23 Triangle x square = 60 Triangle? Square?

Ira Lisetskai [31]

2 triangle+square=23
square=60/triangle

2 triangle+60/triangle=23

2 triangle^2+60=23 triangle

2 triangle^2-23 triangle+60=0

solving quadratic equation we get

triangle=15/2 , 4
15/2 is not possible so triangle=4
square=15

7 0

4 years ago

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In a study of government financial aid for college students, it becomes necessary to estimate the percentage of full-time coll

algol13

Answer:

(a) The sample size required is 2401.

(b) The sample size required is 2377.

(c) Yes, on increasing the proportion value the sample size decreased.

Step-by-step explanation:

The confidence interval for population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The margin of error in this interval is:

$MOE=z_{\alpha/2}\sqrt{\frac{\hatp(1-\hat p)}{n}}$

The information provided is:

MOE = 0.02

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.96$

(a)

Assume that the proportion value is 0.50.

Compute the value of n as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\n=\frac{1.96^{2}\times0.50(1-0.50)}{0.02^{2}}\\=2401$

Thus, the sample size required is 2401.

(b)

Given that the proportion value is 0.55.

Compute the value of n as follows:

$MOE=z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.55(1-0.55)}{n}}\\n=\frac{1.96^{2}\times0.55(1-0.55)}{0.02^{2}}\\=2376.99\\\approx2377$

Thus, the sample size required is 2377.

(c)

On increasing the proportion value the sample size decreased.

8 0

4 years ago

Laura estimated the total cost of attending a private four-year university using the information in the table. Category Estimate

4vir4ik [10]

Answer:

$124,400

Step-by-step explanation:

The scholarship pays for 30% of her tuition. This leaves her responsible for 100-30 = 70% of it. 70% = 70/100 = 0.7; this makes her part of the yearly tuition

0.7(29500) = 20650

She is still responsible for her $9600 room and board per year. Her books are paid for by the scholarship; however she still has the lab and facility fees at $850 per year.

Altogether this gives her a total of

20650+9600+850 = 31100 per year. Over the course of 4 years, this will cost her

31100(4) = 124400

8 0

3 years ago

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Score: 0 of 1 pt

jonny [76]

Answer:

See attachment for graph

Step-by-step explanation:

Given