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Mumz [18]
4 years ago
8

Find distance in parsec

Mathematics
1 answer:
olganol [36]4 years ago
4 0

1. 200 Parsecs, 652.312 Light years 2. 8 Parsecs, 26.09248 Light years ; Use this formula, p=1/P(parallax), to solve the equation. Then multiply 3.26156 (light years per parsec) by the number of parsecs.

1. p= 1/0.005 = 200*3.26156 = 652.312

200 Parsecs, 652.312 Light years

2. p=1/0.125 = 8*3.26156 = 26.09248

8 Parsecs, 26.09248 Light years

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A person standing 28 feet from a street light casts a shadow as shown. What is the height h of the street light? Assume the tria
Mademuasel [1]

Answer:

20 ft

Step-by-step explanation:

Since we assume the triangles are similar, therefore, the ratio of their corresponding sides will be the same.

Height of the bigger triangle corresponds to height of the person

Distance of the person from street light + shadow of the person corresponds to the length of the shadow of the person

Therefore, the ratio of the corresponding sides of the triangles would be:

Height of bigger triangle : height of the person = Distance of the person from street light + shadow of the person : length of the shadow of the person

Thus:

h : 6 = 28 + 12 : 12

h : 6 = 40 : 12

h/6 = 40/12

Cross multiply

12h = 40*6

12h = 240

Divide both sides by 12

12h/12 = 240/12

h = 20

Height of the street light = 20 ft

3 0
3 years ago
A random sample of n = 4 scores is obtained from a normal population with m = 30 and s = 8. what is the probability that the sam
tangare [24]

the probability that the sample mean will be smaller than m = 22 is 0.02275.

For the given question,

A z-score measures exactly how many standard deviations a data point is above or below the mean. It allows us to calculate the probability of a score occurring within our normal distribution and enables us to compare two scores that are from different normal distributions.

Here sample size, n = 4

mean, μ = 30

standard deviation, σ = 8

The probability that the sample mean will be smaller than m = 22 is

z = \frac{m-\mu}{\frac{\sigma}{\sqrt{n} } }

⇒ z =\frac{22-30}{\frac{8}{\sqrt{4} } }

⇒ z = \frac{22-30}{\frac{8}{2} }

⇒ z = -\frac{8}{4}

⇒ z = -2

Refer the Z table for p value,

Thus for P(z < -2) is 0.02275.

Hence we can conclude that the probability that the sample mean will be smaller than m = 22 is 0.02275.

Learn more about probability of the sample mean here

brainly.com/question/16897081

#SPJ4

3 0
2 years ago
Question in photo too lazy to solve lol​
ANTONII [103]

Answer:

150 minutes

Step-by-step explanation:

60 minutes in an hour. 120 minutes in two hours. 30 minutes in a half hour

8 0
2 years ago
Read 2 more answers
The length of a rectangle is 3 1/6 cm to longer than its width If the perimeter of the rectangle is 15 1/3 cm, What is the width
alisha [4.7K]

The width and length of this rectangle are 3 7/12cm and 4 1/12cm respectively.

Hope this helped! ^v^

7 0
3 years ago
Use integration by parts to find the Laplace transform of the given function; n is a positive integer and a is a real constant.
jok3333 [9.3K]

Answer:

n!/(s-a)^(n+1)

Step-by-step explanation:

The answer can be resolved using the process in the attached approach.

And assuming s>2

8 0
3 years ago
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