Find the value of the numerical expression. 43 x 41 x 42

A manufacturer has been selling hats at $8 a piece, and at this price, consumers have been buying 6000 hats per month. The manuf

gtnhenbr [62]

Answer:

$10

Step-by-step explanation:

Initial selling price per hat= $8

Number of hat sold= 6000

Revenue generated = $8*6000=$48000

Cost of producing hats = $4 per hat

Production cost = $4*6000=$24000

Profit = $48000-$24000=$24000

Increasing the price per hat by $2

Selling price per hat = $2+$8=$10

Number of hats sold are 500 fewer = 6000-500= 5500 hats

Revenue generated = $10*5500 = $55000

Cost of production is the same , where $4 per hat = $4*5500 =$22000

Profit generated = $55000-$22000 =$33000

This means at a price of $10 per hat , selling 500 fewer hats, the manufacture still makes a profit of $33000 which is $9000 more. It will be reasonable to hat at $10 because the profit will increase.

8 0

3 years ago

In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderat

Alexus [3.1K]

Answer:

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

$n = 1004, \pi = 0.53$

99% confidence level

So $\alpha = 0.01$ , z is the value of Z that has a pvalue of $1 - \frac{0.01}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.4894$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.5706$

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

3 0

3 years ago

1. A line passes through the point (2, k) and (4k, 5) and has a slope of 1/2 . Find the value of k.

Doss [256]

$(\stackrel{x_1}{2}~,~\stackrel{y_1}{k})\qquad (\stackrel{x_2}{4k}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{k}}}{\underset{run} {\underset{x_2}{4k}-\underset{x_1}{2}}}~~= ~~\stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{2}} \\\\\\ 10-2k=4k-2\implies 10=6x-2\implies 12=6k\implies \cfrac{12}{6}=k\implies 2=k$

5 0

2 years ago

3. Given: Circle Q <A = 35 Find: m AB

Agata [3.3K]

Answer: 110°

Step-by-step explanation:

∠A ≅ ∠B

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

70° + ∠Q = 180°

∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

5 0

3 years ago

What is the least common multiple of 9 and 12

guajiro [1.7K]

The least common multiple (or LCM) of 9 and 12 is 36

8 0

3 years ago

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