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zepelin [54]
3 years ago
7

32 teams in 4 divisions

Mathematics
1 answer:
stepan [7]3 years ago
3 0

Answer:

8

Step-by-step explanation:

32 divided by 4 is 8

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An equation is shown<br> X + 1 = 9x - 3<br> What is the solution?
STatiana [176]

Answer:

Step-by-step explanation: x + 1 = 9x - 3

x + 1 = 9x - 3

(minus x from both sides)

1 = 8x -3

(add 3 to both sides)

4 = 8x

(flip the equation)

8x = 4

(divide both sides by 8)

x = 4/8

x = 1/2 or 0.5

7 0
3 years ago
The length of a rectangle is five less than its width. The area of the rectangle is 84 square feet. Write a quadratic equation i
salantis [7]

<u>Given</u>:

The length of a rectangle is 5 less than its width.

The area of the rectangle is 84 square feet.

We need to determine the quadratic equation in standard form that represents the area of the rectangle.

<u>Dimensions of the rectangle:</u>

Let l denote the length of the rectangle.

Let w denote the width of the rectangle.

Since, it is given that the length is 5 less than its width, it can be written as,

l=5-w and w=w

<u>Area of the rectangle:</u>

The area of the rectangle can be determined using the formula,

A=length \times width

Substituting A = 84, l=5-w and w=w, we get

84=(5-w)\times w

84=5w-w^2

Adding both sides of the equation by w², we have;

w^2+84=5w

Subtracting by 5w on both sides, we get;

w^2-5w+84=0

Thus, the quadratic equation in standard form for the area of the rectangle is w^2-5w+84=0

4 0
3 years ago
The diameter of a circle is 8 inches. what is the circle's circumference​
Svetradugi [14.3K]

Answer:

approx. 25.13

Step-by-step explanation:

C= 2πr

radius is half diameter

6 0
3 years ago
Read 2 more answers
Find the sum of 2/6 +7/6​
ladessa [460]

Answer:

your answer is 9/6, which simplifies to 3/2, or 1 1/2

Step-by-step explanation:

8 0
3 years ago
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
drek231 [11]

Answer:

The probability that <em>X</em> is less than 42 is 0.1271.

Step-by-step explanation:

The random variable <em>X </em>follows a Normal distribution.

The mean and standard deviation are:

E (X) = <em>μ</em> = 50.

SD (X) = <em>σ</em> = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

z=\frac{x-\mu}{\sigma}

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that <em>X</em> is less than 42 is 0.1271.

The normal curve is shown below.

6 0
3 years ago
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