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4 years ago

8

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2? g(x) = –9(x2 + 2x + 1

) – 7 g(x) = 4(x2 – 6x + 9) + 1 g(x) = –3(x2 – 8x + 16) – 6 g(x) = 8(x2 – 6x + 9) – 5

1 answer:

nata0808 [166]4 years ago

8 0

D. Last Answer is the correct answer to your question

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Audrey, an astronomer is searching for extra-solar planets using the technique of relativistic lensing. Though there are believe

Stolb23 [73]

Answer:

Step-by-step explanation:

The model $N (t)$ , the number of planets found up to time $t$ , as a Poisson process. So, the $N (t)$ has distribution of Poison distribution with parameter $(\lambda t)$

a)

The mean for a month is, $\lambda = \frac{1}{3}$ per month

$E[N(t)]= \lambda t\\\\=\frac{1}{3}(24)\\\\=8$

(Here. t = 24)

For Poisson process mean and variance are same,

$Var[N (t)]= Var[N(24)]\\= E [N (24)]\\=8$

(Poisson distribution mean and variance equal)

The standard deviation of the number of planets is,

$\sigma( 24 )] =\sqrt{Var[ N(24)]}=\sqrt{8}= 2.828$

b)

For the Poisson process the intervals between events(finding a new planet) have independent exponential distribution with parameter $\lambda$ . The sum of $K$ of these independent exponential has distribution Gamma $(K, \lambda)$ .

From the given information, $k = 6$ and $\lambda =\frac{1}{3}$

Calculate the expected value.

$E(x)=\frac{\alpha}{\beta}\\\\=\frac{K}{\lambda}\\\\=\frac{6}{\frac{1}{3}}\\\\=18$

(Here, $\alpha =k$ and $\beta=\lambda$ )

C)

Calculate the probability that she will become eligible for the prize within one year.

Here, 1 year is equal to 12 months.

P(X ≤ 12) = (1/Г (k)λ^k)(x)^(k-1).(e)^(-x/λ)

$=\frac{1}{Г (6)(\frac{1}{3})^6}(12)^{6-1}e^{-36}\\\\=0.2148696\\=0.2419\\=21.49%$

Hence, the required probability is 0.2149 or 21.49%

5 0

3 years ago

aliina [53]

The answer is B. I hope it help :)

4 0

3 years ago

Can someone please help me with math

DaniilM [7]

Answer:

B

Step-by-step explanation:

they want us to find the equation in slope intercept form

which is y= mx + b

where m = slope and b = y intercept

the slope is change in y over change in x

as y goes up 1 x goes up 1 so the slope is 1 or m=1

the y intercept is at point (0,1)

so the y intercept is 1

now we add it all together and get that the equation Is

y=x+1

8 0

3 years ago

The solution set of the equation 8x + 12 = 5x – 21.

erastovalidia [21]

Answer:

8x + 12 = 5x -21

8x-5x=-12-21

3x=-33

x=-33/3

x=-11

Hope it helps

6 0

3 years ago

Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can t

jeka57 [31]

Answer:

We would advise her to choose Country Route because in this route time consistent between 15 and 18 minutes.

Step-by-step explanation:

We are given that Jean lives about 10 miles from the college where she plans to attend a 10-week summer class. There are two main routes she can take to the school, one through the city and one through the countryside.

Jean sets up a randomized experiment where each day she tosses a coin to decide which route to take that day. She records the following data for 5 days of travel on each route.

Country Route - 17, 15, 17, 16, 18 (in minutes)

City Route - 18, 13, 20, 10, 16 (in minutes)

Now, we have to decide which route is better for Jean to go to college.

As we can see from the data that the Country route timings is consistent between 15 to 18 minutes which means most of the times she will reach college between these minutes only.

While on the other hand, we can observe that City route timings are very much consistent as it has a low value of 10 minutes and high value of 20 minutes which means Jean can't be sure that at which time she will reach college.

Hence, we would advise her to choose Country route.

7 0

3 years ago