Find the missing side of this right triangle

IceJOKER [234]

(x + 6)(4x + 1)
x times 4x = 4x^2
x times 1 = x
6 times 4x = 24x
6 times 1 = 6
And finally, by adding like terms, 4x^2 + 25x + 6

I hope this helps you! Good luck :)

7 0

3 years ago

Combine the like terms to create an equivalent expression: 3 + 2 + (52) + 6

devlian [24]

It would be -2z+8. Because 3z+-5 is -2 and 2+6 is 8.

3 0

2 years ago

Simplify the expression: 3x4-8d+1

svetlana [45]

Answer:

-8d+13

Step-by-step explanation:

Add and Multiply all of the numbers without variables:

3x4+1

Use PEMDAS to solve (Parenthesis, Exponents, Multiplication, Division, Addition, Subtraction):

3x4=12

12+1=13

Now you have your answer:

-8d+13

5 0

2 years ago

Read 2 more answers

Find the area of the figure: Select one: a. 59.5 yd^2 b. 81 yd^2 c. 58.5 yd^2 d. 55.3 yd^2

lions [1.4K]

Answer would be 58.5 yd^2 .

You should take the base of the triangle multiplied by the height.

Formula: 1/2×base×height

In this case, you know that base is 13yd and height is 9 yd.

So, apply the formula.

Area = 1/2(13yd)(9yd) = 58.5 yd^2

*Do not include the " invisible length as it is not part of the actual triangle.

*Do not include 32yd as it is a hypotenuse and not a base. Hypotenuse is a side that is opposite a right angle triangle.

8 0

2 years ago

The average American man consumes 9.8 grams of sodium each day. Suppose that the sodium consumption of American men is normally

Alex Ar [27]

Answer:

(a) The distribution of X is N (9.8, 0.8²).

(b) The probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c) The middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

Step-by-step explanation:

The random variable X is defined as the amount of sodium consumed.

The random variable X has an average value of, μ = 9.8 grams.

The standard deviation of X is, σ = 0.8 grams.

(a)

It is provided that the sodium consumption of American men is normally distributed.

The random variable X follows a normal distribution with parameters μ = 9.8 grams and σ = 0.8 grams.

Thus, the distribution of X is N (9.8, 0.8²).

(b)

If X ~ N (µ, σ²), then $Z=\frac{X-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z ~ N (0, 1).

To compute the probability of Normal distribution it is better to first convert the raw score (X) to z-scores.

Compute the probability that an American consumes between 8.8 and 9.9 grams of sodium per day as follows:

$P(8.8$

$=P(-1.25$

Thus, the probability that an American consumes between 8.8 and 9.9 grams of sodium per day is 0.4461.

(c)

The probability representing the middle 30% of American men consuming sodium between two weights is:

$P(x_{1}$

Compute the value of z as follows:

$P(-z$

The value of z for P (Z < z) = 0.65 is 0.39.

Compute the value of x₁ and x₂ as follows:

$-z=\frac{x_{1}-\mu}{\sigma}\\-0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8-(0.39\times 0.8)\\x_{1}=9.488\\x_{1}\approx9.5$ $z=\frac{x_{2}-\mu}{\sigma}\\0.39=\frac{x_{1}-9.8}{0.8}\\x_{1}=9.8+(0.39\times 0.8)\\x_{1}=10.112\\x_{1}\approx10.1$

Thus, the middle 30% of American men consume between 9.5 grams to 10.1 grams of sodium.

4 0

2 years ago