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bogdanovich [222]
3 years ago
12

You earn $50 per day for babysitting plus $0.75 per mile that she has to drive for an equation to represent the situation and de

fine the variables
Mathematics
1 answer:
tatuchka [14]3 years ago
8 0
50 + (.75 x d)

D = distance traveled by in miles
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Graph the line with 3/4 slope<br> passing through the point (2,-2).
S_A_V [24]

Answer:

Step-by-step explanation

x1 = 2, y1 = -2 and m = 3/4

y - y1 = m(x - x1)

y - (-2) = 3/4(x - 2)

y + 2 = 3/4(x - 2)

Multiply each term by 4

4y + 8 = 3(x - 2)

4y + 8 = 3x - 6

4y = 3x - 6 - 8

4y = 3x - 14

5 0
3 years ago
Answer with solution
adelina 88 [10]
In general, the scalar multiple of k times u,<span> is this: 

</span>k\vec u = k(ux, uy)=(Kux,Kuy) 

So, here's how we find 3\vec v 

3\vec v = 3 * (2,4) = (3*2,3*4) &#10;&#10;= (6,12) 

The answer is <span><span>(6,12).</span></span>
6 0
3 years ago
Read 2 more answers
A quiz-show contestant is presented with two questions, question 1 and question 2, and she can choose which question to answer f
Mrrafil [7]

Answer:

The contestant should try and answer question 2 first to maximize the expected reward.

Step-by-step explanation:

Let the probability of getting question 1 right = P(A) = 0.60

Probability of not getting question 1 = P(A') = 1 - P(A) = 1 - 0.60 = 0.40

Let the probability of getting question 2 right be = P(B) = 0.80

Probability of not getting question 2 = P(B') = 1 - P(B) = 1 - 0.80 = 0.20

To obtain the better option using the expected value method.

E(X) = Σ xᵢpᵢ

where pᵢ = each probability.

xᵢ = cash reward for each probability.

There are two ways to go about this.

Approach 1

If the contestant attempts question 1 first.

The possible probabilities include

1) The contestant misses the question 1 and cannot answer question 2 = P(A') = 0.40; cash reward associated = $0

2) The contestant gets the question 1 and misses question 2 = P(A n B') = P(A) × P(B') = 0.6 × 0.2 = 0.12; cash reward associated with this probability = $200

3) The contestant gets the question 1 and gets the question 2 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.4×0) + (0.12×200) + (0.48×300) = $168

Approach 2

If the contestant attempts question 2 first.

The possible probabilities include

1) The contestant misses the question 2 and cannot answer question 1 = P(B') = 0.20; cash reward associated = $0

2) The contestant gets the question 2 and misses question 1 = P(A' n B) = P(A') × P(B) = 0.4 × 0.8 = 0.32; cash reward associated with this probability = $100

3) The contestant gets the question 2 and gets the question 1 too = P(A n B) = P(A) × P(B) = 0.6 × 0.8 = 0.48; cash reward associated with this probability = $300

Expected reward for this approach

E(X) = (0.2×0) + (0.32×100) + (0.48×300) = $176

Approach 2 is the better approach to follow as it has a higher expected reward.

The contestant should try and answer question 2 first to maximize the expected reward.

Hope this helps!!!

3 0
3 years ago
In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t
love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0
3 years ago
A square coffee shop has sides that are 5 meters long. What is the coffee shop's area?
g100num [7]

Answer:

<h2>25m²</h2>

Step-by-step explanation:

If you want to find the area, you have to use this formula:

Formula:

LxW

L: length

W: Width

Here we have a square, and the sides are all 5 meters long, that means that we have to just do 5x5 to get the answer.

5x5=?

Hope ya remember the 5 table, lol, I know everyone does

5x5=25

so hence, your answer is 25m²

Thanks!

Answered by: FieryAnswererGT

#learnwithbrainly

8 0
2 years ago
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