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2 years ago

12

Please help due todayyy://

1 answer:

Paul [167]2 years ago

4 0

Answer:

B. product graph

Step-by-step explanation:

Hope it helps

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In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year l

faust18 [17]

Complete Question

In the nation of Gondor, the EPA requires that half the new cars sold will meet a certain particulate emission standard a year later. A sample of 64 one-year-old cars revealed that only 24 met the particulate emission standard. The test statistic to see whether the proportion is below the requirement is:

A -1.645

B -2.066

C -2.000

D-1.960

Answer:

The correct option is C

Step-by-step explanation:

From the question we are told that

The population mean is $p = 0.50$

The sample size is $n = 64$

The number that met the standard is $k = 24$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{24}{64}$

$\r p =0.375$

Generally the standard error is mathematically evaluated as

$SE = \sqrt{ \frac{p(1- p )}{n} }$

=> $SE = \sqrt{ \frac{0.5 (1- 0.5 )}{64} }$

=> $SE = 0.06525$

The test statistics is evaluated as

$t = \frac{ \r p - p }{SE}$

$t = \frac{ 0.375 - 0.5 }{0.0625}$

$t = -2$

8 0

2 years ago

What is 0.48 in simplest form

Gnoma [55]

$0.48=\dfrac{48}{100}=\dfrac{48:4}{100:4}=\boxed{\frac{12}{25}}$

7 0

2 years ago

QUESTION 3 [10 MARKS] A bakery finds that the price they can sell cakes is given by the function p = 580 − 10x where x is the nu

Harman [31]

Answer:

(a)Revenue function, $R(x)=580x-x^2$

Marginal Revenue function, R'(x)=580-2x

(b)Fixed cost =900 .

Marginal Cost Function=300+50x

(c)Profit, $P(x)=-35x^2+280x-900$

(d)x=4

Step-by-step explanation:

<u>Part A </u>

Price Function $= 580 - 10x$

The revenue function

$R(x)=x\cdot (580-10x)\\R(x)=580x-x^2$

The marginal revenue function

$\dfrac{dR}{dx}= \dfrac{d}{dx}(R(x))=\dfrac{d}{dx}(580x-x^2)=580-2x\\R'(x)=580-2x$

<u>Part B </u>

<u>(Fixed Cost)</u>

The total cost function of the company is given by $c=(30+5x)^2$

We expand the expression

$(30+5x)^2=(30+5x)(30+5x)=900+300x+25x^2$

Therefore, the fixed cost is 900 .

<u> Marginal Cost Function</u>

If $c=900+300x+25x^2$

Marginal Cost Function, $\frac{dc}{dx}= (900+300x+25x^2)'=300+50x$

<u>Part C </u>

<u>Profit Function </u>

Profit=Revenue -Total cost

$580x-10x^2-(900+300x+25x^2)\\580x-10x^2-900-300x-25x^2\\$Profit,P(x)=-35x^2+280x-900$

<u> Part D </u>

To maximize profit, we find the derivative of the profit function, equate it to zero and solve for x.

$P(x)=-35x^2+280x-900\\P'(x)=-70x+280\\-70x+280=0\\-70x=-280\\$Divide both sides by -70\\x=4$

The number of cakes that maximizes profit is 4.

6 0

2 years ago

Jonathan has $3,500. He deposited part of the money in his savings account and part in his checking account. If the amount he de

Ksju [112]

Answer:

$900

Step-by-step explanation:

the steps are above

5 0

2 years ago

Please help! 5 points! Will give Brainliest.

Olegator [25]

170 and 60 is the answer is that want you are asking for

3 0

2 years ago