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faltersainse [42]
2 years ago
5

Half a number is subtracted from 7 results in 34

Mathematics
1 answer:
Aneli [31]2 years ago
3 0

Answer:

The number is 82

Step-by-step explanation:

from the word half a number you need to divide it to half

82  divided by 2 =41

Then subtract 7 from 41 = 34

I hope it helps

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Find the measure of each acute angle in a right triangle where the measure of one acute angle is 8 times the measure of the othe
Arlecino [84]

Answer:

10° and 80°

Step-by-step explanation:

All triangles have internal angles that always add up to 180°.

8 0
2 years ago
40.6 in numerical form
oksano4ka [1.4K]
What's your question so I could help?
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
Twice the sum of a number and 3 is equal to three times the difference of the number and 7. Find the number
Agata [3.3K]

Answer:

The number is 27

Step-by-step explanation:

Let us change the word statement to an algebraic equation

→ Assume that the number is x

→ Twice the sum of a number and 3, means add x by 3, then multiply the sum by 2

→ The algebraic expression is 2(x + 3)

→ Three times the difference of the number and 7, means subtract x and 7, then multiply the difference by 3

→ The algebraic expression is 3(x - 7)

→ Equate the two expressions

∴ 2(x + 3) = 3(x - 7)

→ Simplify each side

∵ 2(x + 3) = 2(x) + 2(3) = 2x + 6

∵ 3(x - 7) = 3(x) - 3(7) = 3x - 21

∴ 2x + 6 = 3x - 21

Let us solve the equation to find x

→ Subtract 6 from both sides

∴ 2x + 6 - 6 = 3x -21 - 6

∴ 2x = 3x - 21

→ Subtract 3x from both sides

∴ 2x - 3x = 3x - 3x - 27

∴ -x = -27

→ Divide both sides by -1

∴ x = 27

The number is 27

6 0
3 years ago
A washer and a dryer cost $595 combined. The washer costs $55 less than the dryer. What is the cost of the dryer?
JulijaS [17]

Answer:Oh, be very careful about the "$87."

 

Let the dryer cost x.

Then, the washer costs (x+87)

 

Together, they cost  (x) + (x+87) = 787

        2x+87 = 787

           2x = 700           [subtract 97 from both sides]

            x = 350             [divide both sides by 2]

 

The dryer cost $350.

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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