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2 years ago

Which of the following are solutions to the equation below?

Mathematics

1 answer:

zhannawk [14.2K]2 years ago

6 0

Answer:

x = (√10 -3)/2 and (-√10 -3)/2

Step-by-step explanation:

(2x+3)^2 = 10

To solve the equation, take the square root of each side

sqrt((2x+3)^2) = ±√10

2x+3 = ±√10

Subtract 3 from each side

2x+3-3 = ±√10 -3

2x = ±√10 -3

Divide each side by 2

2x/2 = (±√10 -3)/2

x = (±√10 -3)/2

There are two solutions

x = (√10 -3)/2

and (-√10 -3)/2

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Surface area of the cylinder = 816.4 sq. ft.

Solution:

Height of the cylinder = 21 ft

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Radius of the cylinder = 10 ÷ 2 = 5 ft

Use the value of $\pi$ = 3.14

Surface area of the cylinder = $2 \pi r h+2 \pi r^{2}$

Substitute the given values in the surface area formula, we get

Surface area of the cylinder $$=2\times3.14\times 5\times 21+2 \times3.14\times 5^2$

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3 years ago

Customers leaving a subway station can exit through any one of three gates. Assuming that any particular customer is equally lik

swat32

Answer: 0.0123

Step-by-step explanation:

Given : Customers leaving a subway station can exit through any one of three gates.

The probability of selecting any particular gate = $\dfrac{1}{3}$

Sample size : n= 4

Using binomial distribution,

$P(x)=^nC_xp^x(1-p)^{n-x}$ , where P(x) is the probability of getting success inn x trials , n is the number of trails and p is the probability of getting success in each trial.

Then , the probability that among a sample of 4 customers, they all exit through the same gate.

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Hence, the probability that among a sample of 4 customers, they all exit through the same gate = 0.0123

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3 years ago