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Ksivusya [100]
3 years ago
11

The perimeter of a polygon is 96 ft. Write and solve an equation to find “m”.

Mathematics
1 answer:
Bezzdna [24]3 years ago
3 0

Answer:

m = 12

Step-by-step explanation:

Total perimeter = 3m + 3m + m + m = 96

so, 8m = 96

then m = 12

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What is the slope of the line that passes through the points (6,2) and (12,-2)
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Step-by-step explanation:

\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}

From the picture:

(6, -2)    ⇒     x₁ = 6,  y₁ = -2

(12, -2)     ⇒     x₂ = 12,  y₂ = -2

So the slope:

\bold{m=\dfrac{-2-(-2)}{12-6}=\dfrac{0}{6}=0}

From your writing:

(6, 2)    ⇒     x₁ = 6,  y₁ = 2

(12, -2)     ⇒     x₂ = 12,  y₂ = -2

So the slope:

\bold{m=\dfrac{-2-2}{12-6}=\dfrac{4}{6}=\dfrac23=0.\overline6}

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Step-by-step explanation:

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4 years ago
Terry bought some gum and some candy. The number of packs of chewing gum was one more than the number of mints. The number of mi
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It is estimated that, during the past year, 27% of all adults visited a therapist and 46% of all adults used non-prescription an
coldgirl [10]

Answer:

(a) The probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b) The probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

Step-by-step explanation:

Conditional probability of an event <em>X</em> given that another event <em>Y</em> has already occurred is:

P(X|Y)=\frac{P(X\cap Y)}{P(Y)}

Let <em>A</em> = an adult visited the therapist and <em>B</em> = an used non-prescription antidepressants.

Given:

P (A) = 0.27

P (B) = 0.46

P (A ∩ B) = 0.21

(a)

Compute the probability that a randomly selected adult who visited a therapist during the past year also used non-prescription antidepressants as follows:

P(B|A)=\frac{P(A\cap B)}{P(A)} =\frac{0.21}{0.27} =0.77778\approx0.78

Thus, the probability of an adult using non-prescription antidepressants given that he visited the therapist is 0.78.

(b)

Compute the probability that a randomly selected adult visited a therapist during the past year, given that he or she used non-prescription antidepressants as follows:

P(A|B)=\frac{P(A\cap B)}{P(B)} =\frac{0.21}{0.46} =0.4565\approx0.46

Thus, the probability of an adult visited the therapist given that he was using non-prescription antidepressants is 0.46.

5 0
3 years ago
Can someone please factor this 15x^2-17x-18
Rudiy27
Answer is 18 and value of x is 0



5 0
3 years ago
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