Simplify the expression 7(1 +5v) =​

Answers

Answer 1
Answer: the answer is 7 + 35v
Answer 2
Answer:

Answer:

7 + 35v

Step-by-step explanation:

7 × 1 + 5v × 7

7 + 35v

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Factor each expression by factoring out the common binomial

5a(y + 4) + 8(y + 4)

Answers

Answer:

Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

Step-by-step explanation:

We need to factor the term: 5a(y + 4) + 8(y + 4)

Factoring:

5a(y + 4) + 8(y + 4)

Taking (y+4) common

(y+4)(5a+8)

It cannot be further factored.

So, Factoring the term 5a(y + 4) + 8(y + 4) we get (y+4)(5a+8)

Find the value of x in the triangle shown below.

Answers

Answer:

x=8

Step-by-step explanation:

We can use the Pythagorean theorem to solve

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

6^2 + x^2 = 10^2

36 + x^2 = 100

Subtract 36 from each side

36-36 +x^2 = 100-36

x^2 = 64

Take the square root of each side

sqrt(x^2) = sqrt(64)

x = 8

Answer:

x = 8

Step-by-step explanation:

According to Pythagorean Theorem

AB {}^(2)  + BC {}^(2)  = AC {}^(2)

here

AB = x \n BC = 6 \n AC = 10

Now,

{x}^(2)  +  {6}^(2)  = 10 {}^(2)  \n  {x}^(2)  =  {10}^(2)  -  {6}^(2)  \n x {}^(2)  = 100 - 36 \n  {x}^(2)  = 64 \n x =  √(64)  \n x = 8

AB =x =8

Thirty 7th graders were surveyed and asked their favorite sport. The results showed that 15 liked football, 7 liked baseball, 5 like basketball, and 3 like soccer. What generalization can not be made?Soccer is the least favorite sport.
Half of the students like football.
The students would prefer to play sports over going to school.
None of the students like tennis.

Answers

Answer:

C. The students would prefer to play sports over going to school

Step-by-step explanation:

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can u brainlist

There are 7 bananas, 10 oranges, and 5 apples and 5 apples in the fruit bowl. What is the ratio of bananas to fruit?

Answers

Answer:

5:27

Step-by-step explanation:

Find the volume of a pyramid with a square base, where the perimeter of the base is 15.4 and the height of the pyramid is 13.1. Round your answer to the nearest tenth of a cubic meter.

Answers

The requried volume of the pyramid is 64.9 cubic meters.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profilearea multiplied by the length at which that profile is extruded.

The first step is to find the area of the square base. Since the perimeter of the base is 15.4, each side of the square has a length of:

15.4 / 4 = 3.85

Therefore, the area of the base is:

A = (3.85)² = 14.8225 square meters

The volume of a pyramid is given by the formula:

V = (1/3) * A * h

where A is the area of the base and h is the height of the pyramid. Substituting the values given in the problem, we get:

V = (1/3) * 14.8225 * 13.1

V = 64.91925 cubic meters

Rounding to the nearest tenth of a cubic meter, we get:

V ≈ 64.9 cubic meters

Therefore, the volume of the pyramid is approximately 64.9 cubic meters.

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Answer: 69.3

Explanation: So if the height is 13.1, that means that the length is 2.3. And to find volume, you do length times width times height. So the width would be 2.3 because it is a even square if that makes since. Now 2.3 times 2.3 is 5.29. Now we multiply 5.29 by 13.1. The answer is 69.299. Now we round this to the nearest tenth, so the answer would be 69.3.

As the saying goes, “You can't please everyone.” Studies have shown that in a largepopulation approximately 4.5% of the population will be displeased, regardless of the
situation. If a random sample of 25 people are selected from such a population, what is the
probability that at least two will be displeased?
A) 0.045
B) 0.311
C) 0.373
D) 0.627
E) 0.689

Answers

The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

This problem can be solved using the binomialdistribution since we have a fixed number of trials (selecting 25 people) and each trial has two possible outcomes (displeased or not displeased).

Let p be the probability of an individual being displeased, which is given as 0.045 (or 4.5% as a decimal).

Then, the probability of an individual not being displeased is:

1 - p = 0.955.

Let X be the number of displeasedpeople in a random sample of 25.

We want to find the probability that at least two people are displeased, which can be expressed as:

P(X ≥ 2) = 1 - P(X < 2)

To calculate P(X < 2), we can use the binomial distribution formula:

P(X = k) = (^n C_k) * p^k * (1 - p)^(n-k)

where n is the samplesize (25), k is the number of displeasedpeople, and (n choose k) is the binomial coefficient which represents the number of ways to choose k items from a set of n items.

For k = 0, we have:

P(X = 0) = (^(25)C_ 0) * 0.045^0 * 0.955^(25)

≈ 0.378

For k = 1, we have:

P(X = 1) = (^(25)C_1) * 0.045^1 * 0.955^(24)

≈ 0.42

Therefore,

P(X < 2) = P(X = 0) + P(X = 1) ≈ 0.798.

Finally, we can calculate,

P(X ≥ 2) = 1 - P(X < 2)

= 1 - 0.798

= 0.202.

Thus,

The probability that at least two people will be displeased in a random sample of 25 people is approximately 0.202.

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Answer:

Step-by-step explanation:

The correct answer is (B).

Let X = the number of people that are displeased in a random sample of 25 people selected from a population of which 4.5% will be displeased regardless of the situation. Then X is a binomial random variable with n = 25 and p = 0.045.

P(X ≥ 2) = 1 – P(X ≤ 1) = 1 – binomcdf(n: 25, p: 0.045, x-value: 1) = 0.311.

P(X ≥ 2) = 1 – [P(X = 0) + P(X = 1)] = 1 – 0C25(0.045)0(1 – 0.045)25 – 25C1(0.045)1(1 – 0.045)24 = 0.311.