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Ad libitum [116K]
3 years ago
7

Question 1 (5 points)

Mathematics
1 answer:
jeka943 years ago
4 0

Answer:

D) Vertex: (-2,-8); maximum

Step-by-step explanation:

y = -2x² - 8x - 16

The negative on the first term tells us that the vertex will be a maximum

vertex occurs when the derivative is set to zero

y' = -4x - 8

0 = -4x - 8

8 = -4x

x = -2

y = -2(-2)² - 8(-2) - 16

y = -8 + 16 - 16 = -8

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The amount of kerosene, in thousands of liters, in a tank at the beginning of any day is a random amount Y from which a random a
Tems11 [23]

Find the marginal density for Y by integrating the joint PDF over all possible values of x:

f_Y(y)=\displaystyle\int_{-\infty}^\infty f_{X,Y}(x,y)\,\mathrm dx=\int_0^y2\,\mathrm dx

\implies f_Y(y)=\begin{cases}2y&\text{for }0

Then the density of X conditioned on Y is

f_{X|Y}(x\mid y)=\dfrac{f_{X,Y}(x,y)}{f_Y(y)}=\frac1y

for 0 and undefined elsewhere.

Thus

P(0.25

= = =

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5 0
4 years ago
Solve for w. 0.05w = 15
steposvetlana [31]
In order to find the value first multiply both sides by 100 to simplify the equation:
0.05w*100=15*100
5w=1500
Next, divide both sides of the equation by 5:
5w/5=1500/5
w=300
The final solution is w=300!

Hope i could help.
have a great day

4 0
3 years ago
Read 2 more answers
What set of numbers best describes the height of an airplane as it descends to an airport runway ?
MariettaO [177]
All positive numbers. I think
5 0
3 years ago
T(r+4)=28 solve for t<br><br>pls help ​
Reptile [31]

Answer: 28/r+4

Step-by-step explanation: Divide each term by r + 4 and simplify

3 0
3 years ago
Mark wants to round to the nearest hundred to estimate the sum of 271 and 582.
DIA [1.3K]

Answer:

Step-by-step explanation:

Part A:

Mark did not round to the nearest hundreds, he rounded to the nearest tens.

Option A (Incorrect):

271 and 582 are normally not rounded down, unless we are using limits coming from the left and a unique equation.

Option B (Incorrect):

271 as the same problem as option A, but 582 rounding to 600 is correct. It doesn't make sense to round both numbers differently, unless stated.

Option C (Incorrect):

271 rounding to 300 is correct, but 582 is not normally rounded down to 500 unless we are using limits coming from the left and a unique equation. Unless stated, don't round both numbers differently.

Option D (Correct):

271 rounded to 300 and 582 rounded to 600 looks correct for rounding to the hundreds.

Part B:

There are two ways to solve this question:

One way:

271 + 582 = 853

Round 853 to the nearest hundred for 900

(Note: Round 853 to the nearest tens for 850.)

Second way:

271 + 582

Round Numbers:

300 + 600

= 900

6 0
3 years ago
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