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Nesterboy [21]
3 years ago
14

Think about a density curve that consists of two straight-line segments. The first goes from the point (0, 1) to the point (0.7,

1) then the second goes from the point (0.7, 1) to the point (1.3, 0).
a. Sketch this density curve:
b. What is the probability that X falls below 0.5?
c. What is the probability that X lies between 0.7 and 1.3?
d. What is the probability that X lies above 0.2?
e. What is the probability that X is equal to 0.5?

Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

b)0.5

c)0.3

d)0.2

e)0.5

Step-by-step explanation:

As we see on the graph, the probability that X falls below 0.5 is 0.5.

the probability that X falls between 0.7 is 1.3 is 0.3. If the line go from the point (0.7,1) to the point (1.3, 1) the probability of X would be 0.6 that is the distance between the two points, but instead is the half because it goes from the point (0.7,1) to the point (1.3, 0).

The probability that X lies above 0.2 is 0.2 and also the probability to X is equal to 0.5 it's also 0.5

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A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the
kvasek [131]

Answer:

The new volume is 375 cubic inches.

Step-by-step explanation:

Volume of a right square prism:

The volume of a right square prism is given by:

V = a^2h

In which a is the length of the edge and h is the height.

A right square prism has a volume of 75 cubic inches.

This means that:

a^2h = 75

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

a^2(5h) = 5(a^2h) = 5*75 = 375

The new volume is 375 cubic inches.

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The Titanus beetle can measure 16710 centimeters in length, and the Giant Weta beetle can measure 8510 centimeters in length. Ho
nataly862011 [7]

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Step-by-step explanation:

6 0
2 years ago
2(x + 14) + (2x - 14)
VladimirAG [237]

Answer:

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3 years ago
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"joins" "together" Brad paints a house in 5 days. When his brother Nick joins him, they can paint a house in 3 days. How long do
Brilliant_brown [7]

Answer:

7.5 days.

Step-by-step explanation:

Let t represent time taken by Nick in days to paint the house alone.

Part of house painted by Nick in 1 day would be \frac{1}{t}.

We have been given that Brad paints a house in 5 days, so part of house painted by Brad in 1 day would be \frac{1}{5}.

We are also told that when Brad's brother Nick joins him, they can paint a house in 3 days. So part of house painted by both Brad and Nick together in 1 day would be \frac{1}{3}.

Now, we will equate sum of work done by both brothers with \frac{1}{3} to solve for t as:

\frac{1}{t}+\frac{1}{5}=\frac{1}{3}

\frac{1}{t}\times 15t+\frac{1}{5}\times 15t=\frac{1}{3}\times 15t

15+3t=5t

15+3t-3t=5t-3t

15=2t

2t=15

\frac{2t}{2}=\frac{15}{2}

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3 years ago
In triangle TUV Y is the centroid if YW=9 find TY
vichka [17]

Applying the centroid theorem, the length of TY is calculated as: 18 units.

<h3>What is the Centroid Theorem?</h3>

According to the centroid theorem, given a triangle like TUV with Y as the centroid, the theorem states that:

TY = 2/3(TW)

YW = 9 units

TW = TY + 9

Plug the values into the equation

TY = 2/3(TY + 9)

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TY = 18

Learn more about the centroid theorem on:

brainly.com/question/20627009

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