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Dvinal [7]
3 years ago
6

Explain the multiplication rule for independent events

Mathematics
1 answer:
guapka [62]3 years ago
5 0
Probabilities for two events to the probability that they both occur
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For what value of k are the lines 2x + 3y = 4k and x - 2ky = 7 parallel?
natulia [17]

Answer:

k = -3/4

Step-by-step explanation:

The lines will be parallel if their slopes are equal.  To find the slope of each line, write its equation in slope-intercept form (y = mx + b).  In other words, solve each equation for y and look at the coefficient of x.

2x + 3y = 4k

3y = -2x + 4k

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

The slope of the first line is -2/3.

x - 2ky = 7

-2ky = -x + 7

y = [1/(2k)]x - 7/(2k)

The slope of the second line is 1/(2k).

If the slopes are equal, then

1/(2k) = -2/3

Multiply by 2k.

1 = (-2/3)(2k) = (-4/3)k

1 = (-4/3)k

k = -3/4

5 0
3 years ago
Kwame's team will make two triangular pyramids to decorate the entrance to the exhibit. They will be wrapped in the same metalli
Veseljchak [2.6K]

Answer:

Kwame's team will save = 7.8 \times $0.24 = $1.87

Step-by-step explanation:

i.) Let the side of the equilateral triangle base be a

ii.) the area of the base = 3.9 square feet

iii.) the area of equilateral triangle is = \frac{\sqrt{3} }{4} a^{2} = 3.9

iv.) Base area  = 3.9 square feet

v.) The area that is not covered is the base.

vi.) The total area that is not covered  = 3.9 \times 2  since there are two pyramids

    therefore the total area not covered = 7.8 square feet

vii.) therefore Kwame's team will save = 7.8 \times $0.24 = $1.87

8 0
4 years ago
Does the triangle with the side lengths of 6ft, 7ft, and 8 ft form a right triangle​
Zigmanuir [339]

Answer:

  No.

Step-by-step explanation:

When the side lengths are consecutive integers, only the lengths 3, 4, and 5 will form a right triangle.

  8^2 ≠ 6^2 + 7^2 . . . . for a right triangle, the square of the hypotenuse must be the sum of the squares of the legs

  64 ≠ 36 + 49 = 85

6 0
3 years ago
Write an algebraic expression
Oliga [24]
It would probably be x= 20 ×7
8 0
4 years ago
|v+8| -5=2 Help please
Galina-37 [17]

Answer:

v= -1 (BRAINLIEST PLEASE)

Step-by-step explanation:

|v+8| -5=2

Add 5 to each side

|v+8| -5=2

      +5= +5

Now you have |v+8|= 7

So what plus 8 equals 7?

-1

so now you have |-1+8| which is 7

so v= -1

3 0
4 years ago
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