Given that F(x) = x2 + 2, evaluate F(1) + F(5).

Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts.

lukranit [14]

Answer:

a 75x+165=y

b 75(3)+165=390

c 75x is the cost increasing for each hour

d y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

4 0

3 years ago

Which nonomial function has a minimum value y=5x^10 y=-4x^11 y=-x^12 y=6x^7

yKpoI14uk [10]

We are dealing with monomial function so we just focus on end behavior.

5x¹⁰ has both ends going up so it would have minimum value

-4x¹¹ has one end going down and other end going up so no minimum value

-x¹² has both ends going down so it opens downward thus no minimum value. Just maximum.

6x⁷ has one ends going up and other going down so no minimum value.

So final answer is y = 5x¹⁰

3 0

3 years ago

Over 500 million tweets are sent per day (digital Marketing ramblings website, December 15, 2014). Assume that the number of twe

Aleksandr [31]

Answer:

(a) The probability that Bob receives no tweets during his lunch hour is 0.0002.

(b) The probability that Bob receives at least 4 tweets during his lunch hour is 0.9190.

(c) The expected number of tweets Bob receives during the first 30 minutes of his lunch hour is 3.5.

(d) The probability that Bob receives no tweets during the first 30 minutes of his lunch hour is 0.0302.

Step-by-step explanation:

Let X = number of tweets.

The random variable X follows a Poisson distribution with parameter λ = 7.

The probability mass function of a Poisson distribution is:

$P(X=x)=\frac{e^{-7}(7)^{x}}{x!};\ x=0, 1, 2, 3...$

(a)

Compute the probability that Bob receives no tweets during his lunch hour as follows:

$P(X=0)=\frac{e^{-7}(7)^{0}}{0!}\\=\frac{0.000192\times1}{1} \\=0.000192\\\approx0.0002$

Thus, the probability that Bob receives no tweets during his lunch hour is 0.0002.

(b)

Compute the probability that Bob receives at least 4 tweets during his lunch hour as follows:

P (X ≥ 4) = 1 - P (X < 4)

= 1 - P (X = 0) - P (X = 1) - P (X = 2) - P (X = 3)

$=1-\frac{e^{-7}(7)^{0}}{0!}-\frac{e^{-7}(7)^{1}}{1!}-\frac{e^{-7}(7)^{2}}{2!} - \frac{e^{-7}(7)^{3}}{3!}\\=1-0.0002-0.0064-0.0223-0.0521\\=0.9190$

Thus, the probability that Bob receives at least 4 tweets during his lunch hour is 0.9190.

(c)

The average number of tweets in 60 minutes is 7.

Then the average number of tweets in 1 minute is, $\frac{7}{60}$ .

Hence, the average number of tweets during 30 minutes is, $\frac{7}{60}\times30=3.5$

Thus, the expected number of tweets Bob receives during the first 30 minutes of his lunch hour is 3.5.

(d)

Compute the probability that Bob receives no tweets during the first 30 minutes of his lunch hour as follows:

$P(No\ tweets) = \frac{e^{-3.5}(3.5)^{0}}{0!}=\frac{0.0302\times1}{1} =0.0302$

Thus, the probability that Bob receives no tweets during the first 30 minutes of his lunch hour is 0.0302.

3 0

4 years ago

Simplify completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared

34kurt

Hello

So the question ask to simplify the said equation. In getting its answer base on that equation you must first factor out each of them then find out the common of them to cancel them out that could lead you to your answer. In my calculation, the answer is D. 8 open parentheses x plus 4 close parentheses over quantity x minus 6. I hope this would help you

Have a nice day

6 0

4 years ago

Janet wants to invest a sum of money that will grow to $10,000 in five years. How much does she need to put now into an account

photoshop1234 [79]

She needs to put now $8190.0 into the account

Step-by-step explanation:

The formula of the future value of the compounded monthly interest is

$FV=P(1+\frac{r}{n})^{nt}$ , where

1. FV is the future value

2. P is the money invested

3. r is the annual rate in decimal

4. n is the period of time

5. t is the number of years

Janet wants to invest a sum of money that will grow to $10,000 in five

years, into an account that pays 4% interest per year, compounded

monthly

∵ FV = $10,000

∵ r = (4/100) = 0.04

∵ n = 12 ⇒ compounded monthly

∵ t = 5 years

- Substitute these values in the formula above

∴ $10,000=P(1+\frac{0.04}{12})^{12*5}$

∴ $10,000=P(\frac{301}{300})^{60}$

∴ 10,000 = P(1.220996594)

- Divide both sides by 1.220996594

∴ P = $8190.0

She needs to put now $8190.0 into the account

Learn more:

You can learn more about interest in brainly.com/question/12773544

#LearnwithBrainly

3 0

3 years ago

Read 2 more answers