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worty [1.4K]
3 years ago
6

dvds are on sale for $24 each. felipe writes the expression 4 x 24 to find the cost in dollars of buying 4 dvds. how can you rew

rite felipes expression using the distributive property
Mathematics
1 answer:
Orlov [11]3 years ago
3 0
4 * 24 = 4(20 + 4) or 4(20) + 4(4)
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In the following exercises, multiply the binomials. Use any method.<br> 241. (x + 8)(x + 3)
Lelu [443]

Answer:

Hence the expression $(x+8)(x+3)=x^{2}+11 x+24$.

Step-by-step explanation:

- The given expression is (x+8)(x+3).

- We have to multiply the given expression.

- Multiply the (x+8) by 3 , multiply the (x+8) by x then add like terms.

$$\begin{array}{r}x+8 \\\underline {\times \quad x+3} \\3 x+24 \\\underline {x^{2}+8 x+24} \\x^{2}+11 x+24\end{array}$$

5 0
2 years ago
Trey has plastic cubes stored in a box that measures
Sladkaya [172]
Your answer is D.160
5 0
3 years ago
Read 2 more answers
Kameryn types 75 words per minute and is just starting to write a term paper. Joe already has 510 words written and types at a s
AnnZ [28]

Answer:

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

Step-by-step explanation:

Let

x -----> the number of minutes

y ----> the total words typed

we know that

<em>Kameryn</em>

y=75x -----> equation A

<em>Joe</em>

y=60x+510 -----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B and solve for x

75x=60x+510

75x-60x=510

15x=510

x=34\ minutes

That means

For x=34 minutes

The amount of words written by Kameryn and Joe are the same.

therefore

For x > 34 minutes

Kameryn will have more words typed than Joe when the number of minutes exceeds 34.

6 0
3 years ago
When grading an exam, 90% of a professor's 50 students passed. If the professor randomly selected 10 exams, what is the probabil
Damm [24]

Using the binomial distribution, it is found that there is a:

a) 0.9298 = 92.98% probability that at least 8 of them passed.

b) 0.0001 = 0.01% probability that fewer than 5 passed.

For each student, there are only two possible outcomes, either they passed, or they did not pass. The probability of a student passing is independent of any other student, hence, the binomial distribution is used to solve this question.

<h3>What is the binomial probability distribution formula?</h3>

The formula is:

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:

  • 90% of the students passed, hence p = 0.9.
  • The professor randomly selected 10 exams, hence n = 10.

Item a:

The probability is:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10)

In which:

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

P(X = 8) = C_{10,8}.(0.9)^{8}.(0.1)^{2} = 0.1937

P(X = 9) = C_{10,9}.(0.9)^{9}.(0.1)^{1} = 0.3874

P(X = 10) = C_{10,10}.(0.9)^{10}.(0.1)^{0} = 0.3487

Then:

P(X \geq 8) = P(X = 8) + P(X = 9) + P(X = 10) = 0.1937 + 0.3874 + 0.3487 = 0.9298

0.9298 = 92.98% probability that at least 8 of them passed.

Item b:

The probability is:

P(X < 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)

Using the binomial formula, as in item a, to find each probability, then adding them, it is found that:

P(X < 5) = 0.0001

Hence:

0.0001 = 0.01% probability that fewer than 5 passed.

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

3 0
2 years ago
3 inches
Romashka [77]

Answer:

8

3

Step-by-step explanation:

Volume of a cylinder = πr²h

Volume = 3207

Radius, r

Height, = 5

320π = π * 5 * r²

320 = * 5 * r²

320 = 5 * r²

r² = 320/ 5

r² = 64

r = 8 m

The lateral surface area of a cube is

LSA = 4s²

Where s = edge length

36 = 4s²

s² = 36/4

s² = 9

s =. sqrt(9)

s = 3

7 0
3 years ago
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