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adell [148]
2 years ago
11

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

Mathematics
1 answer:
ozzi2 years ago
8 0

Answer:

15 inches

Step-by-step explanation:

42 = 2L + 2(6)

first, we need to isolate L.

solve 2(6) to make this easier

42 = 2L + 12

42 - 12 = 2L + 12 - 12 ( this cancels out 12. )

30 = 2L

30 ÷ 2 = 2L ÷ 2 ( this cancels out 2. )

15 = L

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What is the equation of a line that passes through the points (3, 6) and (8, 4) in slope intercept form?
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Answer:

y=-\frac{2}{5}x +8.4

Step-by-step explanation:

Gradient

m =\frac{y-y1}{x-x1}

m = \frac{6-4}{3-8}

m=-\frac{2}{5}

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(y-y1)=m(x-x1)\\

- Sub one set of points into equation

(y-6)= -\frac{2}{5} (x-6)

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3 years ago
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Answer:

A. 430 pounds

Step-by-step explanation:

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3 years ago
Suppose we have 3 cards identical in form except that both sides of the first card are colored red, both sides of the second car
Nikolay [14]

Answer:

probability that the other side is colored black if the upper side of the chosen card is colored red = 1/3

Step-by-step explanation:

First of all;

Let B1 be the event that the card with two red sides is selected

Let B2 be the event that the

card with two black sides is selected

Let B3 be the event that the card with one red side and one black side is

selected

Let A be the event that the upper side of the selected card (when put down on the ground)

is red.

Now, from the question;

P(B3) = ⅓

P(A|B3) = ½

P(B1) = ⅓

P(A|B1) = 1

P(B2) = ⅓

P(A|B2)) = 0

(P(B3) = ⅓

P(A|B3) = ½

Now, we want to find the probability that the other side is colored black if the upper side of the chosen card is colored red. This probability is; P(B3|A). Thus, from the Bayes’ formula, it follows that;

P(B3|A) = [P(B3)•P(A|B3)]/[(P(B1)•P(A|B1)) + (P(B2)•P(A|B2)) + (P(B3)•P(A|B3))]

Thus;

P(B3|A) = [⅓×½]/[(⅓×1) + (⅓•0) + (⅓×½)]

P(B3|A) = (1/6)/(⅓ + 0 + 1/6)

P(B3|A) = (1/6)/(1/2)

P(B3|A) = 1/3

5 0
3 years ago
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