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2 years ago

10

The profit (P) in dollars, for a company is modeled by the function P(x)=-750x^2+15,000x,where x is the number of items produced

. For which values of x will the company lose money?

1 answer:

OLEGan [10]2 years ago

5 0

$-750x^2+15000x$

But x must be a natural number, so the answer is $x>20$ .

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Subtraction with renaming estimate 2 1/6- 1 2/7

Snezhnost [94]

13/6-9/7
Find the Least Common Denominator (LCD)
In this case, 42.
(7/7)(13/6)-(6/6)(9/7)
37/42 is your answer

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3 years ago

You are purchasing soft drinks for the company annual party. You expect about 32 people to be there. You want to allow at least

qaws [65]

<span>32*18=576 oz. </span>

<span>Store A offers 24-12 oz cans for $5.89. That means $5.89 gets you 288 oz. Store B offers 12-12oz cans for $3.79, so that means $3.79 gets you 144oz. </span>

<span>Store A is $5.89 per every 288 oz. You need 576 oz, which is double that. That means it will cost you twice as much as it would buying 24-12 oz cans: </span>
<span>$5.89*2=$11.78 </span>

<span>Store B is $3.79 for 144 oz. As previously stated, you need 576 oz, so you'll need to buy 4 12-packs of 12 oz cans: </span>
<span>$3.79*4=15.16 </span>

<span>So not only is Store A a better deal, but they'll save you $15.16-$11.78=$3.38 dollars. </span>

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3 years ago

What is the vertex of the graph of g(x)=|x-3|-3

Sedbober [7]

Answer:

(3, -3)

Step-by-step explanation:

The vertex of the most general absolute value function is y = |x|, whose vertex is at (0, 0). Focusing on the " |x - 3| " tells us that the graph of y = |x| is moved 3 units to the right. Next, focusing on the " -3 " as it tells us that the resulting graph is shifted 3 units down. Thus, the vertex of g(x)=|x-3|-3 is at (3, -3).

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3 years ago

The area of a rectangle is 72 square inches. The length of the rectangle is 8 inches. What is the width of the rectangle?

docker41 [41]

9 square inches, all you had to do was divide it

4 0

3 years ago

Read 2 more answers

A survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather

GrogVix [38]

Answer:

We conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

Step-by-step explanation:

We are given that a survey of 2,254 American adults indicates that 17% of cell phone owners browse the internet exclusively on their phone rather than a computer or other device. According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones.

We have to conduct a hypothesis test to determine if these data provide strong evidence that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

<em>Let p = proportion of Americans who only use their cell phones to access the internet</em>

SO, Null Hypothesis, $H_0$ : p = 38% {means that the proportion of Americans who only use their cell phones to access the internet is same as that of Chinese proportion of 38%}

Alternate Hypothesis, $H_a$ : p $\neq$ 38% {means that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%}

The test statistics that will be used here is <u>One-sample z proportion statistics</u>;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1- \hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = proportion of cell phone owners who browse the internet

exclusively on their phone in a survey of 2,254 adults = 17%

n = sample of adults = 2,254

So, <em><u>test statistics</u></em> = $\frac{0.17-0.38}{\sqrt{\frac{0.17(1- 0.17)}{2,254} } }$

= -26.542

<em>Since in the question we are not given with the significance level so we assume it to be 5%. So, at 0.05 level of significance, the z table gives critical values between -1.96 and 1.96 for two-tailed test. Since our test statistics does not lie in between the critical values of z so we have sufficient evidence to reject null hypothesis as it will fall in the rejection region.</em>

Therefore, we conclude that the proportion of Americans who only use their cell phones to access the internet is different than the Chinese proportion of 38%.

3 0

3 years ago