Convert 121 days to seconds

The total profit made by an engineering firm is given by the function p=x^2 - 24x +5000 where x is the number of clients the fir

faltersainse [42]

Answer:

$5144$

$12$

Step-by-step explanation:

The function $p=x^2-24x+5000$ is incorrect as its roots are imaginary $b^2-4ac=576-4\times 5000=-19424$ .

So, the correct function is

$p=-x^2+24x+5000$

Differentiating with respect to $x$ we get

$p'=-2x+24$

Equating with zero

$0=-2x+24\\\Rightarrow x=\dfrac{24}{2}\\\Rightarrow x=12$

Double derivative of the function

$p''=-2$

So, the function is maximum at $x=12$

Maximum profit is

$p=-x^2+24x+5000=-12^2+24\times 12+5000\\\Rightarrow p=5144$

The maximum profit made by the company is $5144$

The number of clients required to make the maximum profit is $12$ .

7 0

3 years ago

A box of crackers has 24 grams of fat.The box contains 8 servings.Whats the unit rate?

ankoles [38]

The answer is D. It is that because there are a total 24 grammes of fat and a total of 8 servings. To get your answer you have to divide 24 by 8 (24/8)=3

4 0

3 years ago

Which relation is not a function?

kobusy [5.1K]

Answer:

B

Step-by-step explanation:

X cant be repeated twice or it will be a non function,

7 0

3 years ago

The proportion of defective computers built by Byte Computer Corporation is 0.15. In an attempt to lower the defective rate, the

FinnZ [79.3K]

Answer:

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b) Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c) Calculate the value of the test statistic = 0.991

d) The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Null hypothesis accepted at 0.01 level of significance

f) we accepted null hypothesis.

Hence the proportion of defective item of computer has been lowered.

Step-by-step explanation:

Step(i):-

Given the sample size 'n' = 42

Given random sample of 42 computers were tested revealing a total of 4 defective computers.

The defective computers 'x' = 4

The sample proportion of defective computers

$p = \frac{x}{n} = \frac{4}{42} = 0.095$

Given The Population proportion 'P' = 0.15

The level of significance ∝=0.01

Step(ii):-

a) Null hypothesis : H₀: the proportion of defective item of computer has been lowered. That is P < 0.15

Alternative hypothesis: H₁: The proportion of defective item of computer

has been higher. That is P> 0.15 (Right tailed test)

b)

Test statistic $Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }$

c)

$Z = \frac{0.095-0.15}{\sqrt{\frac{0.15(0.85)}{42} } }$

$z = \frac{-0.055}{\sqrt{0.00303} } = - 0.9991$

Calculate the value of the test statistic Z = - 0.9991

|Z| = |- 0.9991| = 0.991

Step(iii):-

d)

The critical value at 0.01 level of significance = Z₀.₀₁ = 2.57

e) Calculate the value of the test statistic Z = 0.991 < 2.57 at 0.01 level of significance.

Conclusion:-

Hence the null hypothesis is accepted at 0.01 level of significance.

f)

The proportion of defective item of computer has been lowered.

6 0

3 years ago

Alice found the area of the figure by breaking apart it apart where the dashed line is drawn. Her work is shown below. area of r

Alex Ar [27]

Answer:

We're no strangers to love

You know the rules and so do I

A full commitment's what I'm thinking of

You wouldn't get this from any other guy

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

And if you ask me how I'm feeling

Don't tell me you're too blind to see

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Ooh, give you up

(Ooh) Never gonna give, never gonna give (Give you up)

We've known each other for so long

Your heart's been aching but you're too shy to say it

Inside we both know what's been going on

We know the game and we're gonna play it

I just want to tell you how I'm feeling

Gotta make you understand

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Never gonna make you cry, never gonna say goodbye

Never gonna tell a lie and hurt you

Never gonna give you up, never gonna let you down

Never gonna run around and desert you

Step-by-step explanation:

you just got rick rolled

5 0

3 years ago

Read 2 more answers