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kompoz [17]
2 years ago
7

The perimeter of a square is represented by the expression 32x - 12.8 find the side length of the square.

Mathematics
1 answer:
djverab [1.8K]2 years ago
8 0

Given:

Perimeter of a square = 32x-12.8

To find:

The side length of the square.

Solution:

We know that, the perimeter of the square is 4 times of its side length.

P=4a

Where, a is the side length.

Perimeter of a square = 32x-12.8

Now,

4a=32x-12.8

Divide both sides by 4.

a=\dfrac{32x-12.8}{4}

a=\dfrac{32x}{4}-\dfrac{12.8}{4}

a=8x-3.2

Therefore, the side length of the square is 8x-3.2 units.

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A rectangle has a perimeter of 16p centimeters. It has a width of 2p centimeters. Find the length of the rectangle in terms of p
DIA [1.3K]
If the width is 2p then the width of both sides is 4p. Subtract that from the total perimeter and you get 16p-4p= 12p. Divide that by two because there are 2 side lengths. So, one side length is 6p.
6 0
2 years ago
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OLEGan [10]

Answer:

x&y just cancel out for 7

x and y should both be 3

Step-by-step explanation:

its the best choice

4 0
2 years ago
A test has 20 true/false questions. What is the probability that a student passes the test if they guess the answers? Passing me
Minchanka [31]

Using the binomial distribution, it is found that:

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

For each question, there are only two possible outcomes, either the guess is correct, or it is not. The guess on a question is independent of any other question, hence, the binomial distribution is used to solve this question.

Binomial probability distribution

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem:

  • There are 20 questions, hence n = 20.
  • Each question has 2 options, one of which is correct, hence p = \frac{1}{2} = 0.5

The probability is:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20)

In which:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 15) = C_{20,15}.(0.5)^{15}.(0.5)^{5} = 0.0148

P(X = 16) = C_{20,16}.(0.5)^{16}.(0.5)^{4} = 0.0046

P(X = 17) = C_{20,17}.(0.5)^{17}.(0.5)^{3} = 0.0011

P(X = 18) = C_{20,18}.(0.5)^{18}.(0.5)^{2} = 0.0002

P(X = 16) = C_{20,19}.(0.5)^{19}.(0.5)^{1} = 0

P(X = 17) = C_{20,20}.(0.5)^{20}.(0.5)^{0} = 0

Then:

P(X \geq 15) = P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18) + P(X = 19) + P(X = 20) = 0.0148 + 0.0046 + 0.0011 + 0.0002 + 0 + 0 = 0.0207

The probability that the student will get 15 correct questions in this test by guessing is 0.0207 = 2.07%.

You can learn more about the binomial distribution at brainly.com/question/24863377

6 0
3 years ago
Solve the absolute value equation.<br>12 + 2x[ = [x - 6]​
Tom [10]

Answer:

x=−18

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

12+2x=x−6

12+2x=x+−6

2x+12=x−6

Step 2: Subtract x from both sides.

2x+12−x=x−6−x

x+12=−6

Step 3: Subtract 12 from both sides.

x+12−12=−6−12

x=−18

6 0
3 years ago
Suppose f(x) = x. Find the graph of f(x) +2.
natali 33 [55]

Answer:

graph 2

Step-by-step explanation:

It is partially written in Slope-Intercept Form [<em>y</em><em> </em><em>=</em><em> </em><em>mx</em><em> </em><em>+</em><em> </em><em>b</em>]. That 2 tells you to move up two units.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

5 0
3 years ago
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