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ArbitrLikvidat [17]
3 years ago
8

Please help pleaseeeeeeeeee

Mathematics
1 answer:
Allushta [10]3 years ago
8 0

Answer:

C. 1/4 cup for every cup of water

Step-by-step explanation:

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I will mark you brainliest. Plzz help I think its C but then I also think its A
luda_lava [24]

Answer:

E

Step-by-step explanation:

X can be anything so E

5 0
2 years ago
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Suppose that the length of a side of a cube X is uniformly distributed in the interval 9
Nastasia [14]

Answer:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

Step-by-step explanation:

Given

9 < x < 10 --- interval

Required

The probability density of the volume of the cube

The volume of a cube is:

v = x^3

For a uniform distribution, we have:

x \to U(a,b)

and

f(x) = \left \{ {{\frac{1}{b-a}\ a \le x \le b} \atop {0\ elsewhere}} \right.

9 < x < 10 implies that:

(a,b) = (9,10)

So, we have:

f(x) = \left \{ {{\frac{1}{10-9}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Solve

f(x) = \left \{ {{\frac{1}{1}\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right.

Recall that:

v = x^3

Make x the subject

x = v^\frac{1}{3}

So, the cumulative density is:

F(x) = P(x < v^\frac{1}{3})

f(x) = \left \{ {{1\ 9 \le x \le 10} \atop {0\ elsewhere}} \right. becomes

f(x) = \left \{ {{1\ 9 \le x \le v^\frac{1}{3} - 9} \atop {0\ elsewhere}} \right.

The CDF is:

F(x) = \int\limits^{v^\frac{1}{3}}_9 1\  dx

Integrate

F(x) = [v]\limits^{v^\frac{1}{3}}_9

Expand

F(x) = v^\frac{1}{3} - 9

The density function of the volume F(v) is:

F(v) = F'(x)

Differentiate F(x) to give:

F(x) = v^\frac{1}{3} - 9

F'(x) = \frac{1}{3}v^{\frac{1}{3}-1}

F'(x) = \frac{1}{3}v^{-\frac{2}{3}}

F(v) = \frac{1}{3}v^{-\frac{2}{3}}

So:

f(v) = \left \{ {{\frac{1}{3}v^{-\frac{2}{3}}\ 9^3 \le v \le 10^3} \atop {0, elsewhere}} \right.

8 0
2 years ago
What is the explicit formula for this sequence? 5, 10, 20, 40 , 80, 160
8_murik_8 [283]

Answer:

Multiply by two. Formula could be x * 2

Step-by-step explanation:

4 0
3 years ago
What is the area of a rectangle with length 8 1/2 and width 6 inches
likoan [24]
A = 1/2 (l × w)
A = 1/2 (8 1/2 × 6)
A = 1/2 (17/2 ×12/2)
A = 1/2 (204/4)
A = 1/2 (51)
A = 25 1/2  OR  25.5 in
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2 years ago
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The mathematics department sponsors Math Family Fun Night every year.  In the first year, there were 35 participants.  In the th
Korolek [52]

1,35     3,57

 

slope = (57 - 35)/(3 - 1) = 11

 

y = 11 x + b

 

35 = 11 (1) + b

b= 24

 

y = 11x + 24

 

y = 11(5) + 24 = 79

3 0
3 years ago
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