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zavuch27 [327]
2 years ago
10

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

Mathematics
1 answer:
saw5 [17]2 years ago
6 0

Answer:

74046 is the correct answer

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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<br>&lt;A = 35<br>Find: m AB​
Agata [3.3K]

Answer:  110°

<u>Step-by-step explanation:</u>

∠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
Read 2 more answers
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