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Elodia [21]
3 years ago
7

A scientist measures the angle x and the distance y between the Earth and the Sun. Using complete sentences, explain how the sci

entist can use only these two measurements to calculate the distance between the moon and the Sun.
Mathematics
1 answer:
Olin [163]3 years ago
8 0

I'm sorry, but I have to seriously question the whole process.

-- What does "the angle between the Earth and sun" mean?
-- How in the world does he measure the distance between the Earth and sun ?
-- How are either of these related to the distance between the Moon and Sun ?

To me, this "scientist's" methods are as defective as this question is.


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8. In order to qualify for the year-end tennis tournament,
Vikentia [17]

Answer:

D

Step-by-step explanation:

3 0
3 years ago
g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
3 years ago
48 mi :56 mi as a ratio
qaws [65]

Answer:

85.714...

Step-by-step explanation:

Convert into a fraction, then divide fraction (ratio) 48 / 56 Answer: 85.714285714286%

7 0
4 years ago
Matt said 2x-7=2(x-7) has infinitley many solitions. is he correct? Justify Matts answer or show he is correct.
Flauer [41]
2x - 7 = 2x - 14
2x = 2x - 7.

Matt is incorrect, there are actually 0 correct answers to this equation.
7 0
3 years ago
Consider the line y=5x -3 Find the equation of the line that is patellar to this line and passes through the point (-8, -3) Cons
Lynna [10]

Answer:

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

Step-by-step explanation:

Given equation of line is:

y=5x-3

The general form of equation of line in slope-intercept form is written as:

y = mx+b

Here m(co-efficient of x) is the slope of the line and b is the y-intercept.

Comparing the given equation with the general form we get

m = 5

Two parallel lines have same slope so the slope of any line parallel to given line will also be 5.

Let m1 be the slope of required line parallel to y=5x-3

Then m1=5

Putting in general form

y = m_1x+b

y=5x+b

To find the value of b(y-intercept) the given point has to be put in the equation from which the line passes.

The point is (-8,-3)

-3 = 5(-8)+b\\-3 = -40+b\\b = -3+40\\b = 37

Putting the value of b and m1, we get

y = 5x+37

Hence,

The equation of the line that is parallel to given line and passes through the point (-8, -3) is: y = 5x+37

5 0
3 years ago
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