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Ad libitum [116K]
2 years ago
13

The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.

Mathematics
2 answers:
azamat2 years ago
4 0

Answer: The slope of the line = 4.

Step-by-step explanation:

We know that ,

Slope of a line passes through (x_1,y_1) and (x_2,y_2)  = \dfrac{y_2-y_1}{x_2-x_1}

Here , the line passes through points (2,18) and (8,42).

Then the slope of the given line = \dfrac{42-18}{8-2}

=\dfrac{24}{6}=4

Hence, the slope of the line = 4.

o-na [289]2 years ago
4 0

Answer:

4

Step-by-step explanation:

i took the test and got it right

You might be interested in
Kyle challenges you to a game. Each player rolls a standard number cube twice. If the sum of the results is divisible by 3, you
sweet [91]

Answer:

The probability of you winning is 1/3

No, it is not a fair game

Step-by-step explanation:

The first thing we need to have here is the sample space. This refers to the set of all possible results that can occur from the rolling.

Please check attachment for this

Kindly note that the total number of possible outcomes is 36.

And in the attachment, sums which are divisible by 3 are circled.

The number of circles we can count is 12

Thus, the probability of you winning would be number of circles/total number of outcomes = 12/36 = 1/3

Is it a fair game?

No, it is not

It can only be a fair game if the probability of winning equals probability of losing ( which is 18/36 = 1/2 or 0.5)

8 0
2 years ago
In the envelope game, there are two players and two envelopes. One of the envelopes is marked ''player 1 " and the other is mark
svetoff [14.1K]

Answer:

Step-by-step explanation:

a) The game tree for k = 5 has been drawn in the uploaded picture below where C stands for continuing and S stands for stopping:

b) Say we were to use backward induction we can clearly observe that stopping is optimal decision for each player in every round. Starting from last round, if player 1 stops he gets $3 otherwise zero if continues. Hence strategy S is optimal there.

Given this, player 2’s payoff to C is $3, while stopping yields $4, so second player will also chooses to stop. To which, player 1’s payoff in k = 3 from C is $1 and her payoff from S is $2, so she stops.

Given that, player 2 would stop in k = 2, which means that player 1 would stop also in k = 1.

The sub game perfect equilibrium is therefore the profile of strategies where both players always stop: (S, S, S) for player 1, and (S, S) for player 2.

c) Irrespective of whether both players would be better off if they could play the game for several rounds, neither can credibly commit to not stopping when given a chance, and so they both end up with small payoffs.

i hope this helps, cheers

5 0
1 year ago
In bens office,there are 5 more women than man.Theres are 23 women.How many men are there
viva [34]

Answer:

18

Step-by-step explanation:


8 0
1 year ago
Read 2 more answers
A bowling alley charges $185 per hour for party’s. How much would a 2.5-hour party cost? Show your work
Furkat [3]

Answer:

462.5

Step-by-step explanation:

  1. first you have to figure out how many times you can multiply ($185) without going over.
  2. Second you have to figure out what half of 185 is. (92.5)
  3. Finally you add the half (92.5) with the total from #1. (370)
  4. And your Total is 462.5.
3 0
2 years ago
Read 2 more answers
A rectangular portrait measures 50cm by 70cm. It is surrounded by a rectangular frame of uniform width. If the area of the frame
snow_tiger [21]

Let us assume uniform width = x cm wide.

Length of rectangular portrait = 50cm and width of rectangular portrait = 70cm.

Therefore,  length of rectangle made by frame = 50 + x+x = (2x+50) cm.

And width of rectangle made by frame = 70+x+x = (2x+70) cm.

We know, the area of rectangular portrait = 50 × 70 = 3500 cm^2.

Total area of the rectangle made by frame would be =  (2x+50) * (2x+70)

We know,

Actual area of frame = Area of rectangle made by frame -  area of rectangular portrait.

We also given "the area of the frame is the same as the area of the portrait."

We can setup an equation now,

 3500 = (2x+50) * (2x+70) - 3500.

Subtracting 3500 from both sides, we get

3500-3500 = (2x+50) * (2x+70) - 3500-3500.

0 = (2x+50) * (2x+70) -7000.

FOIL (2x+50) * (2x+70), we get

0 = 2x*2x +2x*70 + 50*2x +50*70 - 7000.

0 = 4x^2 +140x +100x +3500 -7000.

4x^2 +240x -3500 = 0.

Dividing whole equation by 4, we get

x^2 +60x - 875 =0

Applying quadratic formula =\frac{-b\pm \sqrt{b^2-4ac}}{2a}, we get

=\frac{-60\pm \sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}

x=\frac{-60+\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}=5\left(\sqrt{71}-6\right)

x=\frac{-60-\sqrt{60^2-4\cdot \:1\left(-875\right)}}{2\cdot \:1}:\quad -5\left(6+\sqrt{71}\right)

We cant take negative value.

So, x=5\left(\sqrt{71}-6\right)=12.13

We could take approximately 12 cm.



7 0
2 years ago
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