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lisabon 2012 [21]
3 years ago
5

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his country is 8%. Let y represent the origi

nal price of cards.
Mathematics
1 answer:
Allushta [10]3 years ago
5 0

Complete question :

Jason purchased a pack of game cards that was on sale for 13% off. The sales tax in his county is 8%. Let y represent the original price of the cards. Write an expression that can be used to determine the final cost of the cards.

A) y − 0.13y

B) 1.08(0.87y)

C) 0.08(0.87y)

D) y − 0.87y + 0.08y

Answer:

1.08(0.87y)

Step-by-step explanation:

Let initial cost = y

Cost on sale = 13% off

Discounted price = y - 0.13y = 0.87y

Sales tax on purchase = 8%

Sales tax is ade d to the purchase price of item, hence ;

Sales tax = 1 + 0.08 = 1.08

The final cost of card is:

Sales tax * discounted price

1.08 * 0.87y

1.08(0.87y)

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At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. a random s
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Complete Question:

Heights of 9-Year-Olds At age 9 the average weight (21.3 kg) and the average height (124.5 cm) for both boys and girls are exactly the same. A random sample of 9-year-olds yielded these results. Estimate the mean difference in height between boys and girls with 95% confidence. Does your interval support the given claim?

                                 Boys             Girls

Sample Size                60                  50

Mean Height, cm        123.5             126.2

Population variance      98                 120

a.State the hypotheses and identify the claim.

b.Find the critical value(s).

c.Compute the test value.

d.Make the decision.

e.Summarize the results.

Step-by-step explanation:

Find attachments for complete solution

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3 years ago
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Evaluate A 2-B 2 for A = 4 and B = -5.<br> -26<br> -9<br> 41
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Answer:

wait wat ? its 18

Step-by-step explanation:

so plug in the numbers

4 times 2 - -5 times 2

4x2 = 8

-5x2 = -10

8-(-10)  = 18

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Match the correct ratio with its trigonometric function
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Cosine is the second one the first one is Sine and the last one is tangent
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. Suppose that 10 students of a class of 50 undergraduates are chosen for a behavioral experiment. The total class consists of 1
Natali [406]

Answer:

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, the order in which the students are chosen is not important, which means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

Desired outcomes:

7 seniors, from a set of 7.

3 juniors, from a set of 10. So

D = C_{7,7} \times C_{10,3} = \frac{7!}{7!(7-7)!} \times \frac{10!}{3!(10-3)&} = 1 \times 120 = 120

Total outcomes:

10 students froms a set of 50. so

T = C_{50,10} = \frac{50!}{10!(50-10)!} = 10272278170

Probability:

p = \frac{D}{T} = \frac{120}{10272278170} \approx 0

Approximately 0% probability of the group contains exactly seven seniors and three juniors.

5 0
3 years ago
An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made
Lemur [1.5K]

Answer:

The dimension of box=2ft\times 2ft\times 1ft

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box=lbh=x^2h

4=x^2h

h=\frac{4}{x^2}

Now, surface area of box,A=x^2+4xh

A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}

\frac{dA}{dx}=2x-\frac{16}{x^2}

\frac{dA}{dx}=0

2x-\frac{16}{x^2}=0

2x=\frac{16}{x^2}

x^3=8

x=2

\frac{d^2A}{dx^2}=2+\frac{32}{x^3}

Substitute x=2

\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h=\frac{4}{2^2}=1 ft

Hence, the dimension of box=2ft\times 2ft\times 1ft

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