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zzz [600]
3 years ago
13

Solve the math problem

Mathematics
1 answer:
Ray Of Light [21]3 years ago
5 0

Answer:

2) a.   slope = 4/3

2) b.   slope = -4

Step-by-step explanation:

The slope of the line that passes through points

(x_1, y_1)  and  (x_2, y_2)

is m, given by the slope formula below:

m = \dfrac{y_1 - y_2}{x_2 - x_1}

2) a. (30, 32) and (18, 16)

m = \dfrac{y_1 - y_2}{x_2 - x_1}

m = \dfrac{32 - 16}{30 - 18}

m = \dfrac{16}{12}

m = \dfrac{4}{3}

2) b. (4, -26) and (10, -50)

m = \dfrac{y_1 - y_2}{x_2 - x_1}

m = \dfrac{-50 - (-26)}{10 - 4}

m = \dfrac{-24}{6}

m = -4

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When rolling two six-sided number cubes, what is the probability of getting a sum of at least 5? 5/18 1/3 13/18 5/6
VashaNatasha [74]

The sample space for two six sided cubes =

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)


Now the favourable events are those where the sum is greater than or equal to 5.

It means

(1,4) (1,5) (1,6)

(2,3) (2,4) (2,5) (2,6)

(3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)


It means

favourable events = 30

and total possible events = 36


So probability = 30/36   = 5/6

Hence 4th option is the correct one.

3 0
4 years ago
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BARSIC [14]

Answer:

  No. The reciprocal of a function is rarely the same as the inverse of the function.

Step-by-step explanation:

tan^1(a) signifies the arctangent function, the function that returns the angle for a given tangent value of a.

tan(a)^-1 signifies the reciprocal of the tangent function, which is the definition of the cotangent function.

The attached graph compares the two functions.

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