MATHEMATICS
HIGH SCHOOL

Answer: X = -2(5 + (sqrt34)) OR 2((sqrt34) - 5)

HIGH SCHOOL

For a regular n-gon: a. What is the sum of the measures of its angles?

b. What is the measure of each angle?

c. What is the sum of the measures of its exterior angles, one at each vertex?

d. What is the measure of each exterior angle?

e. Find the sum of your answers to parts b and d. Explain why this sum makes sense.

Are these the answer choices or the questions he half to answer

MIDDLE SCHOOL

Rewrite the equation in standard form y= 4/5x+0.85. Enter answer as ax+by=c or ax+by+c=0

At very minimum, move (4/5)x to the other side of the given equation. Then:

-(4/5)x + y = 0.85. This is the equation in standard form.

COLLEGE

Which of the following expressions is true A. 2^4 * 2^3 = 2^12

B. 3^3 * 3^6 >3^8

C. 4^2 * 4^2 >4^4

D. 5^5 * 5^2 =5^10

3³ X 3⁶ > 3⁸ is the correct expression.

What is Equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Here, Let first equation is true,

then, LHS = 2⁴ X 2³

= 2⁴⁺³

= 2⁷

≠ RHS

Option A is false.

Again assume option B is true.

Now check, LHS = 3³ X 3⁶

= 3³⁺⁶

= 3⁹

>3⁸

LHS > RHS

Thus, 3³ X 3⁶ > 3⁸ is the correct expression.

Learn more about Equation from:

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Answer:

B

Explanation:

When multiplying exponents, you add them together.

B

Explanation:

When multiplying exponents, you add them together.

HIGH SCHOOL

Instructions: determine the inverse for the following functions. f(x) = (x+6)^2, x>(or equal to)-6

Answer:

the answer would be 5

Step-by-step explanation:

COLLEGE

The amount of time that a 4th grader reads comic books in a week is normally distributed with a mean of 6 hours and a standard deviation of 2 hours. Suppose a 4th grader is considered addicted if he/she reads comic books for more than 11 hours a week. If twenty 4th graders are to be chosen at random, find the probability that at least one of them is addicted to comic books (round off to second decimal place).

The probability that at least one of them is addicted to comic books is; P(X ≥ 1) = 0.12

We are told that this question is a normal distribution with;

Mean; μ = 6 hours

Standard deviation; σ = 2 hours

The formula for the z-score of a normal distribution is;

z = (x' - μ)/σ

Now, we are given that the 4th grader is considered addicted if he/she reads comic books for more than 11 hours a week. Thus;

x' = 11 hours

Thus;L, probability that a 4th grader is addicted to comic books is; P(X > 11)

z = (11 - 6)/2

z = 2.5

From online p-value from z-score calculator, we have; P(X > 11) = 0.00621

To find the probability that at least one of them is addicted to comic book, we will use binomial probability distribution with the formula;

P(X = x) = ⁿCx × p^(x) × q^(n - x)

Where q = 1 - p = 1 - 0.00621

q = 0.99379

Thus, the probability that at least one of them is addicted to comic book if 20 first graders are chosen at random is;

P(X ≥ 1) = 1 - P(X = 0)

P(X = 0) = 20C20 × 0.00621^(0) × 0.99379^(20 - 0)

P(X = 0) = 0.8829

Thus;

P(X ≥ 1) = 1 - 0.8829

P(X ≥ 1) = 0.1171

Approximating to 2 decimal places gives;

P(X ≥ 1) = 0.12

Read more at;brainly.com/question/15681215

Answer:

The probability that at least one of the 20 4th graders is addicted to comic books is 0.12.

Step-by-step explanation:

Let X = number of hours a 4th grader reads comics and Y = number of 4th grader addicted to reading comics.

The random variable X is continuous and follows a normal distribution with mean, μ = 6 hours and standard deviation, σ = 2 hours.

And the random variable Y is discrete and follows a binomial distribution with success defined as a 4th grader is addicted to reading comics.

Compute the probability that a 4th grader is addicted to reading comics as follows, i.e. determine the value of P (X > 11) .

11) = P(\frac{X-\mu}{\sigma} >\frac{11-6}{2})\\=P(Z >2.5)\\=1-P(Z" alt="P(X>11) = P(\frac{X-\mu}{\sigma} >\frac{11-6}{2})\\=P(Z >2.5)\\=1-P(Z" align="absmiddle" class="latex-formula">

Use the Z-table for the probability value.

Now compute the probability that out of 20 fourth graders at least 1 is addicted to comics as follows:

The Binomial probability function is:

Compute the value of as follows:

Thus, the probability that at least one of the 20 4th graders is addicted to comic books is 0.12.

MIDDLE SCHOOL

What is 58 in radical form?

Find the factors of 58

58: 1, 2, 29, 58

Since 58 does not have and factors that are perfect squares, the answer will be

58: 1, 2, 29, 58

Since 58 does not have and factors that are perfect squares, the answer will be

MIDDLE SCHOOL

Tiffany drives 285,120 feet before lunch and 628,320 feet after lunch. About how many kilometers does she drive all together

Answer:

278.416512 kilometers

Step-by-step explanation:

first add 285120 and 628320

which equals 913440

last convert to kilometers

which equals 278.416512 kilometers

MIDDLE SCHOOL

Jamie went to Home Depot.She bought 25 bags of soil that cost $9 per bag.She bought 15 pots at $8 each,and she bought 23 bags of pebbles at $15 each.She used a coupon that gave her $5 off for every 100 dollars she spent.How much did Jame pay at the end?

Answer: $630.00

Step-by-step explanation:

25 x 9.00= 225.00

15 x 8.00= 120.00

23 x 15.00= 345.00

225.00 + 120.00 + 345.00= 690.00

690.00 - 60.00= $630.00

MIDDLE SCHOOL

1/2x+13=9 what is x?

The value of x is -8

Step-by-step explanation:

Given Equation

1/2(x)+13=9

Taking literals on left hand side and constants at right hand side

1/2(x)=9-13

1/2(x)= -4

applying cross multiplication

x= -4*2

so x = -8

The value of x is -8

Answer:

x = -1/8

Step-by-step explanation:

1/2x + 13 = 9

collect the like terms

1/2x = 9- 13

1/2x= -4

cross multiply

-8x= 1

x = -1/8