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Dovator [93]
4 years ago
12

Bill wants to purchase some gloves and hats. The gloves cost $12 and a hat costs $8. Bill can spend no more than $56. Let g repr

esent the number of gloves purchased and h represent the number of hats purchased. Which inequality represents this situation?
Mathematics
1 answer:
worty [1.4K]4 years ago
3 0

Step-by-step explanation:

Let g represent the number of gloves purchased and h represent the number of hats purchased.

The gloves cost $12 and a hat costs $8

We need to write an inequality that represents this situation.

Cost of gloves = $12g

Cost of hats = $8h

No more than $56 means \le 56.

We can write the inequality as follows :

12g+8h\le 56

Hence, this is the required solution.

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Are you getting enough sleep? Many kids aren’t getting enough sleep, and TV might be part of the problem. Among 2002 randomly se
Naya [18.7K]

Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:

d. 68.39%.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The sample size and estimate are given by:

n = 2002, \pi = 0.71

Hence, the lower bound is given by:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.71 - 2.575\sqrt{\frac{0.71(0.29)}{2002}} = 0.6839

Hence the lower bound is of 68.39%, which means that option D is correct.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

4 0
3 years ago
13. * 7 points 13 A ladder is 50 feet and cast a 25 foot shadow. Mark is 6 feet how long would his shadow be? A 25 feet B 32 fee
Rina8888 [55]

Answer:

3

Step-by-step explanation:

Hope this helps :)

7 0
3 years ago
Read 2 more answers
Please help me! Suppose Sal's total profit on lunch specials for the next month is $1,593. The profit amounts are the same: $2 f
blsea [12.9K]

Answer:

Step-by-step explanation:

This is an incomplete problem. Other data were not given.

Given:

Profit of every sandwich = $2

Profit of every wrap = $3

x = sandwich

y = wrap

Last month:  2x + 3y = 1,470

Next month: 2x + 3y = 1,593

Based on the given equation:

Both still have the same profit. $2 for sandwiches and $3 for wraps.

The only reason why there is a difference in the total amount is the change in the number of sandwich or wrap sold in a given month.

Since, next month's total sale is higher than last month's total sale, it is safe to assume that the sale of sandwich or wrap is higher than last month's sale.

4 0
3 years ago
SUppose the total cost C(x) to manufacture a quantity x of insecticide (in hundreds of liters) is given by
Hitman42 [59]

Answer:

a) C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty).

b) C(x) decreases in (8\,s, 10\,s).

Step-by-step explanation:

Let C(x) = x^{3}-27\cdot x^{2}+240\cdot x +850, where x is the quantity of insecticide, measured in hundreds of liters, and C(x) is the total manufacturing cost as a function of the quantity of the insecticide, measured in US dollars. A possible approach to determine which regions of C(x) are decreasing and increasing by means of the first derivative and graphing tools. The first derivative of the function is:

C'(x) = 3\cdot x^{2}-54\cdot x+240 (1)

Please notice that regions where C(x) is increasing has C'(x) > 0, whereas C'(x) < 0 when C(x) < 0.

We notice that C(x) is increasing in two regions: (i) (+\infty, 8\,s) and (ii) (10\,s,+\infty). Besides, C(x) decreases in (8\,s, 10\,s).

6 0
3 years ago
PLZ HELP
Eva8 [605]

Answer:

(x+1)^2

Step-by-step explanation:

(g ° f) (x) = g(f(x))

g ( f(x)) means that you are going to replace x in g(x) for f(x)

g(x) = x^2

f(x) = x+1

So you have to solve g(x) when x = x+1

g (x+1) = (x+1)^2

8 0
3 years ago
Read 2 more answers
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