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Nataly [62]
3 years ago
9

The perimeter of a rectangle is 20 centimeters. The length is 6 centimeters.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
5 0
Recall the formula for area of a rectangle

A = LW

A = area of rectangle
L = length of rectangle = 6
W = width of rectangle

Also, recall the formula for Perimeter of a rectangle

P = 2L + 2W

P = perimeter of rectangle = 20

We have L=6 and P=20. Use these to solve for W in the perimeter formula.

P = 2L + 2W
20 = 2(6) + 2W
20 = 12 + 2W
8 = 2W
4 = W

Thus, L = 6 and W = 4. Use these measurements to solve for A.

A = LW = 6 * 4 = 24 in^2
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4 years ago
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Oduvanchick [21]
One is c two is also c three is c and the fourth is d
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a test consists of 10 multiple choice . to pass the test a student must answer exactly 5 of the questions correctly. if a studen
s2008m [1.1K]

Complete question :

A test consists of 10 multiple choice questions. Each question has 5 choices. To pass the test, a student must answer at least 6 questions correctly. If a student guesses on each question, the probability of getting it right is 20%. What is the probability that the student will pass the test?

Answer:

0.006370

Step-by-step explanation:

Number of options = 5, with only one correct,hence, p = 1/5 = 0.2

Number of questions = 10

Number of correct answers required to pass = 6

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

p = 0.2 ; 1 - 0.2 = 0.8

n = 10 ; x = 6

P(x ≥ 6) = p(6) + p(7) + p(8) + p(9) + p(10)

The formula above can be used to obtain the individual probabilities then taking the sum or we can obtain the solution using a calculator ;

Using a binomial probability distribution calculator with the parameters given :

P(x ≥ 6) = 0.0063693824

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3 0
3 years ago
What is the equation in point-slope form of the line that passes through (-9, 12) with a slope of 5/6?​
Hitman42 [59]

Answer:

\large\boxed{y-12=\dfrac{5}{6}(x+9)}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have

m=\dfrac{5}{6},\ (-9,\ 12)\to x_1=-9,\ y_1=12

Substitute:

y-12=\dfrac{5}{6}(x-(-9))\\\\y-12=\dfrac{5}{6}(x+9)

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Use p.e.m.d.a.s.
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