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svet-max [94.6K]
2 years ago
5

Two hockey teams, the Winnipeg Jets (yay!) and the Toronto Maple Leafs (boo!), miraculously make it to

Mathematics
1 answer:
monitta2 years ago
7 0

Answer:

There is a 54% chance that the Jets will win the Stanley Cup.

Step-by-step explanation:

Since two hockey teams, the Winnipeg Jets and the Toronto Maple Leafs, miraculously make it to the Stanley Cup finals, where as soon as a team wins 3 games, the championship is over, and the schedule for the playoffs for home games is: Jets - Leafs - Jets - Leafs - Jets; since if the Jets are playing at home, there is a 60% chance they'll win, while if they are playing on the road, there is a 45% chance they'll win, to find the probability that the Jets win the Stanley Cup the following calculation must be performed:

(0.60 + 0.45 + 0.60 + 0.45 + 0.60) / 5 = X

2.70 / 5 = X

0.54 = X

Thus, there is a 54% chance that the Jets will win the Stanley Cup.

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Translate and solve: seventy-eight times n is at least 312.
RideAnS [48]

It translates to 78n \ge 312 which solves to n \ge 4 after dividing both sides by 78. This means n is equal to 4 or it can be larger than 4.

7 0
2 years ago
In Drew's town the average price for a tutor is $15 per hour, and the standard deviation is $5.25 per hour. In Drew's town, what
alukav5142 [94]

Answer:

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = $15 per hour

Standard Deviation, σ = $5.25 per hour

We are given that the distribution of tutoring prices is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P( tutor charges between $10 and $20 per hour)

P(10 \leq x \leq 20)\\\\ = P(\displaystyle\frac{10 - 15}{5.25} \leq z \leq \displaystyle\frac{20-15}{5.25})\\\\ = P(-0.9523 \leq z \leq 0.9523)\\\\= P(z \leq 0.9523) - P(z < -−0.9523)\\= 0.8295 - 0.1705= 0.659

0.659 is the  probability that a tutor charges between $10 and $20 per hour.

5 0
2 years ago
What is the recursive rule for an=2n+11?
Dmitrij [34]
The answer is B 
a1= 13;an-1+2

6 0
2 years ago
Read 2 more answers
Omar and Caleb each had a repair made on their cars. The initial cost of each repair is $1,000. Omar and Caleb each have two cou
scoundrel [369]

Answer:

854

Step-by-step explanation:

1000/15=66

1000-66-80=854

5 0
2 years ago
A furniture company is introducing a new line of lounge chairs next quarter. These are the cost and revenue functions, where x r
QveST [7]

Answer:

No lower than $208, and no higher than $956.8

Step-by-step explanation:

Notice that the revenue (income) function is represented by a quadratic expression (a parabola with branches pointing down), and the cost function is linear with negative slope.

When we plot them, we obtain the graphs shown in the attached image. Notice as well that there are two points of intersection for these two functions. The revenue exceeds (lays above) the cost in between the two points of intersection (marked in red and green).

For the company to make a profit, the revenue has to be larger than the cost, so we study the limiting values for that to happen, which is the points of intersection of these two curves.

The first one (pictured in red) is associated with coordinates (35, 33488) which tells us that is the production of 35 chairs with a revenue of $33,488. That is a cost per chair of $33,488 / 35 = $956.8

The second intersection (pictured in green) is associated with coordinates (125, 26000), which tells us that is the production of 125 chairs with a revenue of $26,000. That is a cost per chair of $26000 / 125 = $ 208

So these values give us the minimum and maximum that the company can charge to make a profit.

6 0
2 years ago
Read 2 more answers
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