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3 years ago

Only do # 23 and explain please

Mathematics

1 answer:

Tresset [83]3 years ago

4 0

Answer:

a) 12x + 20y = 300

b) No

Step-by-step explanation:

You can define your variables however you like. Let x = number of caps and y = number of shirts.

Using the costs given the equation would be

12x + 20y = 300.

For part b the answer is no, only points with positive x and y values would be solutions, since you cannot have a negative number of caps or shirts.

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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.

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

Matt charges 3$ for every 15$of walking . how much will matt charge for one hour

IRINA_888 [86]

5 dollars per hour
because 15 divided by 3 is 5.

8 0

3 years ago

Read 2 more answers

4 x plus 8 y equals 40, when y equals 0.8?

kondor19780726 [428]

Answer:

When x = 8.4 and y = .8 then 4x + 8y = 40

Step-by-step explanation:

4x + 8y = 40

y = .8

Let's solve for x by substituting .8 for y (since y is given)

4x + 8(.8) = 40

4x + 6.4 = 40 Subtract 6.4 from both sides.

4x + 6.4 - 6.4 = 40 - 6.4

4x = 33.6 Divide each side by 4

4x/4 = 33.6/4 4 cancels on the left because 4/4 = 1

x = 33.6/4

x = 8.4

So when x = 8.4 and y = .8 then 4x + 8y = 40

3 0

3 years ago

A rectangular prism has a volume of 192 cubic inches the prism is 4 inches wide.....

cluponka [151]

Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

5 0

3 years ago

Uma pessoa fez uma compra no valor de 104.592,00 eles pagaram este valor em 48 parcelas mensais sem juros qual seria o valor de

Margarita [4]

Answer:

2,179

Step-by-step explanation:

Uma pessoa fez uma compra no valor de 104.592,00 pagou esse valor em 48 parcelas mensais sem juros qual seria o valor de cada parcela?

O valor de cada parcela é calculado como:

Quantidade / número de parcelas mensais

= 104.592,00 / 48

= 2.179

Portanto, o valor da Parcela Mensal é 2.179

8 0

3 years ago