For the one-to-one function
f(x) = x3 - 2, find f-'(x).

Answer:

(B) Mean 3 and standard deviation 5

Step-by-step explanation:

Property of mean

The mean of the sum or difference of two random variable R and S is the sum of their means.

μ (R-S) = μ(R) - μ(S)

μ(R-S) = 10 - 7 = 3

Property of standard deviation

The variance of Independent variable R and S is is the sum of their variances. Even when we subtract two random variables, we still add their variances; subtracting two variables increases the overall variability in the outcomes.

σ^2(R-S) = σ^2 (R) + σ^2(S)

            = 16 + 9           ( variance = (standard deviation)^2  )

             = 25

σ(R-S)  = 5

The mean of the  distribution of R-S is 3 and the standard deviation of the  distribution of R-S is 5 and this can be determined by using the given data.

Given :

The following steps can be used in order to determine the mean and standard deviation of the  distribution of R-S:

Step 1 - The mean can be determined by using the below formula.

[tex]\rm \mu(R-S) = \mu(R)-\mu(S)[/tex]

Step 2 - Substitute the values of [tex]\rm \mu(R)[/tex] and [tex]\rm \mu(S)[/tex] in the above expression.

[tex]\rm \mu(R-S) = 10-7[/tex]

[tex]\rm \mu(R-S) = 3[/tex]

Step 3 - The standard deviation can be determined by using the below formula.

[tex]\rm \sigma^2(R-S) = \sigma^2(R)+\sigma^2(S)[/tex]

Step 4 - Substitute the values of [tex]\rm \sigma(R)[/tex] and [tex]\rm \sigma(S)[/tex] in the above expression.

[tex]\rm \sigma^2(R-S) = 16+9[/tex]

[tex]\rm \sigma(R-S) = 5[/tex]

Therefore, the correct option is B).

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Answer:

69536

LOLLLLLLLLLL

Answer:

69536

Step-by-step explanation: and rounded to the nearest what

Answer:

Craig's collection increased by 20%.

Step-by-step explanation:

Original amount: 10

New amount: 12

To find the percent increase, we first need to find how much Craig's record collection increased by. To do this, subtract the old amount from the new amount:

12 - 10 = 2

The amount his collection increased by is 2. To find the per cent increase, divide 2 by the original amount of records:

[tex]\frac{2}{10}=\frac{1}{5}= 0.20[/tex]

Convert the decimal into a percentage:

0.20 * 100 = 20%

The percent increase of Craig's record collection is 20%.

Answer:

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.

Step-by-step explanation:

Given that:

The beads come in packages of 3 and 9.

To calculate the least number of beads that Casey can have, we will find the least common multiple of both packages.

Package of three = 3, 6, 9, 12, 15

Package of nine = 9, 18, 27, 36

The least common multiple of 3 and 9 is 9.

Hence,

Casey can buy 3 packages with 3 beads and one package with 9 beads to have the same number of beads of each kind.

Answer:

well, there is already $900 so 1800-900=900   now we need 4% of 900 which is $36   900 divided by 36 is 25

it will take 25 years

Step-by-step explanation:

plz mark brainliest i answered first

The number of years that will it take for the value of the account to reach $1,800 should be 25 years.

Since the deposited amount is $900

The rate of interest is 4%

The future value is $1,800

So here the balance amount should be

= $1,800 - $900

= $900

Now 4% of $900 = 36

So the number of year should be

= [tex]900\div 36[/tex]

= 25 years

hence, The number of years that will it take for the value of the account to reach $1,800 should be 25 years.

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Answer:

at 0 hours, 0 miles were traveled

Answer:

The answer is "[tex]\log(x-3)- \log(2)[/tex]"

Step-by-step explanation:

The asymptote is that when the group is 0 within. Let's all assume that log base 2 is: Log(ax-b); a position mostly online also they know. Let's use this (5,0)  and log(5a-b)=0; they get out of it 5a-b=1; now that the results for a and b must be known. So we can say unless the asymptote is x=3, 3a-b=0; then we have the equations system, and with a and b we can solve

[tex]\to b=5a-1 \\\\ \therefore\\\\\to 3a-(5a-1)=0\\\\\to 3a-5a+1=0\\\\\to -2a+1=0\\\\\to -2a=-1\\\\\to a=\frac{1}{2} \ and\ b= \frac{3}{2}[/tex]

[tex]\to \log(\frac{x}{2}-\frac{3}{2})\\\\\to \log(\frac{(x-3)}{2})\\\\\to \log(x-3)- \log(2)[/tex]

Answer:

337.5 and also 202.5

Step-by-step explanation:

do 8x = 540 since 5 and 3 are in a ratio... so you get 5x plus 3x. Then you solve for x and get 67.5..67.5 times 3 is 202.5 and 67.5 times 5 is 337.5.

Answer:

Hey there!

“r + 62 ÷ 2 = 1”

Combine your like terms

(62 ÷ 2)

62 ÷ 2 = 31

New equation

r + 31 = 1

SUBTRACT by 31

Like: r + 31 - 31 = 1 - 31

Cancel out: 31 - 31 because that gives you 0

Keep: 1 - 31 because that gives you the value of “r”

1 - 31 = -30

Therefore, your answer is: r = -30 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

I think is D

PLEASE MARK ME AS BRAINLIEST

Answer:

y(0) = 3

Step-by-step explanation:

This is solved by plugging in each option one by one, and seeing which one results in a positive value for dy/dt.

dy/dt = (4 − 1) (1 − 2²) = -9

dy/dt = (7 − 1) (1 − 1²) = 0

dy/dt = (1 − 1) (1 − 2²) = 0

dy/dt = (-4 − 1) (1 − 0²) = -5

dy/dt = (3 − 1) (1 − 0²) = 2

Only the last option fits.

Answer:

Step-by-step explanation:

44+.14x = 51+.09x

.05x=7

140=x, or the amount of driving the two needs to do for the plans to be the same

44+14(.14)

plug it back in to find the cost

$63.60

Answer: 726.

Step-by-step explanation:

we have:

a, b and c non-negative numbers.

we know that:

a + b + c = 36.

(i also assume that the numbers are whole numbers)

and "one of the numbers is twice one of the others"

Then we can write:

a = 2*b

replacing that in the above equation, we get:

2*b + b + c = 36

3*b + c = 36.

Then the product between the 3 numbers will be:

P = a*b*c = (2*b)*b*c = 2*b^2*c.

Because we have b squared in the product, we want to find the maximum possible value of b, such that:

3*b + c = 36.

3*b = 36 - c

We know that 36 is a multiple of 3, and also is 3*b.

Then 36 - c must also be a multiple of 3, this means that c must be a multiple of 3 (and the smallest possible), which is 3.

Then if we have:

3*b = 36 - 3 = 33

3*b = 33

b = 33/3 = 11.

The prodct will be:

P = 2*(11^2)*3 = 726.

The maximum value of the product of the three given numbers is;

P_max  = 726

Let the three non-negative numbers be x, y and z

We are told that they sum up to 36.

Thus;

x + y + z = 36.

Now, one of the numbers is twice one of the other numbers.

Thus;

x = 2y

Then, we now have;

2y + y + z = 36

⇒ 3y + z = 36.

We want to find the maximum value of the  product between the 3 numbers. Let's say their product is P, then we have;

P = xyz

P = 2y²z

Since y is squared here, then let's make 3y the subject in 3y + z = 36.

3y + z = 36.

3y = 36 - z

since 3 is multiplied by y, it means that  36 - z be a multiple of 3 and we can infer that z must also be a multiple of 3. If we take z = 3, we have;

Then if we have:

3y = 36 - 3

3y = 33

y = 33/3

y = 11.

Since Product is P = 2y²z, then we have;

P = 2 × 11² × 3

P_max  = 726

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Answer:

c. 0.3974

Step-by-step explanation:

Given;

number of white balls, W = 17

number of red balls, R = 18

Total number of balls, T = 35

The number of ways the event will occur is given by

= P(2 whites) and P(2 reds)

= P(2whites) x P(2 reds)

= 17C2 x 18C2

= 136 x 153

= 20,808

The total number of possible outcome

= 35C4

= 52,360

The probability = 20,808 / 52,360

                          = 0.3974

The correct option is "C"

Probability that the sample contains two white balls and two red ones is equal to 0.3974.

So, option c. is correct.

Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim.

Number of white balls [tex]=\boldsymbol{17}[/tex]

Number of red balls [tex]=\boldsymbol{18}[/tex]

Total number of balls [tex]=\boldsymbol{35}[/tex]

Probability that the sample contains two white balls and two red ones  

[tex]=\frac{\binom{17}{2}\binom{18}{2}}{\binom{35}{4}}[/tex]

[tex]=\frac{\frac{17!}{15!2!}\frac{18!}{16!2!}}{\binom{35!}{31!4!}}[/tex]

[tex]=\boldsymbol{0.3974}[/tex]

So, option c. is correct.

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Question 1 Answer: both of them equal 20

Step-by-step explanation: when you add 9+3 it equals 12 then you add 8 and that makes 20. 9+8 also equals 17 then you add 3 which equals 20

Step-by-step explanation:

You deposit some money into a bank account paying 4% simple interest per year. You received $72 in interest after 3 years. How much the deposit (principal) was?

Answer:

22.8 pounds

Step-by-step explanation:

The answer is 22.8 because when you divide 100 by 38 you get 2.63157894737 and if you divide 60 by 2.63157894737 you get 22.8

Answer:

[tex]\sqrt{325}[/tex]

Step-by-step explanation:

This is because you use Pythagorean theorem. a^2 + b^2 = c^2.

-3, 0, 1/2, undefined

if it is going down its negative if it goes up its positive

first one you can tell because each one to the right it goes 3 down

2nd is 0 because there is no slope to it, last one is undefined because it cant be all the numbers when x is -4

Answer:

It would Be C I hoped this helped

Answer:

5 parks

7 parks

9 parks

10 months

Step-by-step explanation:

1 month: 5 state parks

2 months:5+2=7 state parks

3 months:7+2=9 state parks

x months : 23 state parks

23-9 state parks = 14 state parks

14/2=7 it means 7 months more

3+7=10 months

10 months : 23 state parks

Answer:

3.125 (D)

Step-by-step explanation:

1 is 1/2

25-1 4

20x3 = 60mins

3.125 would be took away results end with what you have took for this equation

Answer:

Step-by-step explanation:

20% off is $1.80

9-1.8

the cost would be $7.20

Answer:

540

Step-by-step explanation:

multiply 180 by 3

Answer:

769

Step-by-step explanation:

Answer:

109

Step-by-step explanation: