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3 years ago

5

Three points, P, Q, and R, lie on the same line such that Q lies between P and R. Find PR if PQ = 11 and QR = 13. Question 17 op

tions: A) 2 B) 13 C) 11 D) 24

1 answer:

Amanda [17]3 years ago

3 0

D) 24
you just need to add the two segments together

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To learn more, go to this website on public health C. Then answer the following question.

V125BC [204]

Answer:

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garbage disposal and recycling

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2 years ago

The exponential distribution applies to lifetimes of a certain component. Its failure rate is unknown. Find the probability that

wlad13 [49]

Answer:

a) 0.0821

b) 0.0111

c) 0.0041

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

$f(x) = \lambda e^{-\lambda x}$

In which $\lambda$ is the decay parameter.

The probability that x is lower or equal to a is given by:

$P(X \leq x) = \int\limits^a_0 {f(x)} \, dx$

Which has the following solution:

$P(X \leq x) = 1 - e^{-\lambda x}$

Either it lasts more 5 years or less, or it survives more than 5 years. The sum of the probabilities of these events is decimal 1. So

$P(X \leq 5) + P(X > 5) = 1$

In all 3 cases, we want P(X > 5). So

$P(X > 5) = 1 - P(X \leq 5)$

In which

$P(X \leq 5) = 1 - e^{-5\lambda}$

(a) lambda=.5

$P(X \leq 5) = 1 - e^{-5*0.5} = 0.9179$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9179 = 0.0821$

(b) lambda=0.9

$P(X \leq 5) = 1 - e^{-5*0.9} = 0.9889$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9889 = 0.0111$

(c) lambda=1.1

$P(X \leq 5) = 1 - e^{-5*1.1} = 0.9959$

$P(X > 5) = 1 - P(X \leq 5) = 1 - 0.9959 = 0.0041$

7 0

3 years ago

The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. What is the scale for the blueprint?

malfutka [58]

Answer:

Step-by-step explanation:

The house blueprint shows the bedroom is 4 in wide and its actual length is 12 yards wide. This means that every 1 inch on the blue print represents 3 yards on the actual building. The scale is the ratio of the length of a side on the blueprint to the length of a corresponding side on the actual. Therefore, the scale for the blueprint is 3: 1

Therefore, the scale factor is 3

3 0

3 years ago

The volume of a cylinder is 4 pi x3 cubic units and its height is x units.

Rzqust [24]

Answer:

$2x$

Step-by-step explanation:

The volume of a cylinder, $V$ is given by the formula,

$V=\pi r^{2}h$

Where, $r$ is the radius and $h$ is the height of the cylinder.

Here, $V=4\pi x^{3}$ , $h=x$ . Plug in these values and solve for radius, $r$ .

This gives,

$V=\pi r^{2}h\\4\pi x^{3}=\pi r^{2}x\\r^{2}=\frac{4\pi x^{3}}{\pi x}\\r^{2}=4x^{2}\\$

Taking square root both sides, we get

$\sqrt{r^{2}}=\sqrt{4x^{2}}\\r=2x$

Therefore, the radius of the cylinder can be expressed as $2x$ .

6 0

3 years ago

Convert 562 hectograms to pounds to the nearest hundredth

finlep [7]

Answer:

Is that your answer

6 0

2 years ago

Read 2 more answers