The perimeter of a rectangle is 75 cm. Its

Write an equation of the line in point-slope form that passes through the given points.

iris [78.8K]

Answer:

Step-by-step explanation:

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4 years ago

If 28% of students in College are near-sighted, the probability that in a randomly chosen group of 20 College students, exactly

cluponka [151]

Answer: (D) 16%

Step-by-step explanation:

Binomial probability formula :-

$P(x)=^nC_xp^x(1-p)^n-x$ , where n is the sample size , p is population proportion and P(x) is the probability of getting success in x trial.

Given : The proportion of students in College are near-sighted : p= 0.28

Sample size : n= 20

Then, the the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is given by :_

$P(x=4)=^{20}C_4(0.28)^4(1-0.28)^{20-4}\\\\=\dfrac{20!}{4!16!}(0.28)^4(0.72)^{16}\\\\=0.155326604912\approx0.16\%$

Hence, the probability that in a randomly chosen group of 20 College students, exactly 4 are near-sighted is closest to 16%.

7 0

3 years ago

I WILL GIVE BRAINLEST!!! (6 points!)

vlada-n [284]

Answer:

OPTION A: 2x + 3y = 5

Step-by-step explanation:

The product of slopes of two perpendicular lines is -1.

We rewrite the given equation as follows:

2y = 3x + 2

⇒ y = $\frac{3}{2}x + 1$

The general equation of the line is: y = mx + c, where 'm' is the slope of the line.

Here, m = $\frac{3}{2}$ .

Therefore, the slope of the line perpendicular to the line given = $\frac{-2}{3}$ because $\frac{3}{2} \times \frac{-2}{3} = -1$ .

To determine the equation of the line passing through the given point and a slope we use the Slope - One - point formula which is:

y - y₁ = m(x - x₁)

The point is: (x₁, y₁) = (-2, 3)

Therefore, the equation is:

y - 3 = $\frac{-2}{3}$ (x + 2) $

⇒ 3y - 9 = -2(x + 2)

⇒ 3y - 9 = -2x - 4

⇒ 2x + 3y = 5 is the required equation.

6 0

3 years ago

Read 2 more answers

If you cant get this math riddle right, you're a pleb.

tatuchka [14]

Answer:

47 cards remain

Step-by-step explanation:

thank you

pls follow me.

5 0

3 years ago

louie can buy 12 pounds of shrimp for 119.88 and 13 pounds for l28.31 which is the better deal per pound

Anon25 [30]

the better deal is 128.31 for 13 pounds making it 9.87 per pound

3 0

3 years ago