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lana [24]
3 years ago
11

What is the slope for this??

Mathematics
2 answers:
34kurt3 years ago
8 0
13/4 create an equation and use the slope formula.
:)
aleksandr82 [10.1K]3 years ago
3 0

Answer:

slope: \frac{13}{4}

Step-by-step explanation:

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Alex and bob are playing 5 chess games. Alex is 3 times more likely to win than bob. What is the probability that both of them w
givi [52]

Answer:

12.2%

Step-by-step explanation:

Lets firstly find out the probabilities for Alex and Bob. We know that the prb that Alex wins is 3 times the prob for Bob, so:

P(A) = 3P(B)

And, as these values are probabilities they must sum 1:

P(A) + P(B) = 1

Replacing the first equation in the second:

3P(B) + P(B) = 1

4P(B) = 1

Dividing both sided by 4:

4P(B)/4 = 1/4

P(B) =1/4

So, the probability for Bob is 1/4. Then the probability for Alex is 3*1/4 = 3/4

Now we have to find the probability that both win at least two games. Lets think about the possible combination of cases. As they play 5 games and both have to win at least to there is a remaining game that cane variate, this is, can be won by Alex or Bob. So, we can have:

AABBB

AABBA

Where A is "Alex win" and B is "Bob win" (here we do not pay attention to the order).

Thus, we have to find the probability that Alex wins 3 games and Bob 2 games, and the probability that Alex wins 2 games and Bob 3 games. As the games are independent, i.e., the result of one games does not affect the followings we can just multiply the probabilities:

P(3A and 2B) = (3/4)*(3/4)*(3/4)*(1/4)*(1/4) = 0.42*0.06 = 0.026

P(2A and 3B) = (3/4)*(3/4)*(1/4)*(1/4)*(1/4) = 0.56*0.016 = 0.096

So,

P (at least 2) = P(3A and 2B) + P(2A and 3B) = 0.026 + 0.096 = 0.122 = 12.2%

7 0
3 years ago
What is “ f(x) = 2x^2- 32x” in standard form if it has one?
kap26 [50]
Most textbooks interpret standard form of a quadratic function to be as follows:

f(x) = a x^{2}  + bx + c

In the function f(x) = 2 x^{2}  - 32x , notice we do not have a value for "c". Just place a "0" in for the c and you have standard form.

the criteria for standard form:
1. All like terms are combined
2. Degree must drop from left to right
3. The leading coefficient cannot be equal to zero.
6 0
3 years ago
What is the mean median and mode of 5.6 6.8 1.2 6.5 7.9 6.5 ???
rjkz [21]
Median - 6.5
mode- 6.5
mean-5.8
8 0
3 years ago
A 16 foot ladder rests against the side of a house and the base of the ladder is 4 feet away. How high above the ground is the t
PtichkaEL [24]

Answer:

  15.5 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle with hypotenuse 16 ft and one side length of 4 ft. If x represents the height of the ladder on the building, then the Pythagorean theorem tells us ...

  x^2 + (4 ft)^2 = (16 ft)^2

  x^2 = 240 ft^2 . . . . . . subtract 16 ft^2

  x ≈ 15.5 ft . . . . . . . . . . take the square root

The top of the ladder is about 15.5 ft above the ground.

8 0
3 years ago
A principal of $2000 is invested at 7.75% interest, compounded annually. How much will the investment be worth after 14 years?
krek1111 [17]

Answer:

Yearly compounding: 7.75% $5,686.85

Quarterly compounding: 7.978% $5,857.78

Monthly compounding: 8.031% $5,898.27

Daily compounding: 8.057% $5,918.20

Step-by-step explanation:

multiply yearly by 14

7 0
2 years ago
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