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3 years ago

Explain how you would solve 16 / C equals 8 then solve the equation

Mathematics

1 answer:

Fantom [35]3 years ago

3 0

Answer: 2

Step-by-step explanation: you divide 16 by 8 then substitute the number you get for C. 16/8=2 Which means C=2.

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3 times the first of three consecutive odd integers is 3 more than twice the third? what is the third integer

fenix001 [56]

Answer:

Step-by-step explanation:

The difference between consecutive integers is 1.

The difference between consecutive odd integers is 2.

Let the smallest odd integer be x.

Then the next greater one is x + 2. The greatest one is x + 4.

"3 times the first" is 3x

"twice the third" is 2(x + 4)

"3 times the first of three consecutive odd integers is 3 more than twice the third"

3x = 2(x + 4) + 3

3x = 2x + 8 + 3

x = 11

The smallest integer is 11.

x + 4 = 11 + 4 = 15

The greatest one is 15.

4 0

3 years ago

10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she

blondinia [14]

Answer:

uh uh uh uh uh I'll try uh uh uh uh uh

5 0

4 years ago

PLEASE HELP ME WITH BOTH QUESTIONS<br> THANKS!!

vitfil [10]

First one:

cos(A)=AC/AB=3/4.24

cos(B)=BC/AB=3/4.24

Cos(A)/cos(B)=AC/AB / (BC/AB) = AC/AB * AB/BC = AC/BC=3/3=1

Second one:

To solve this problem, we have to ASSUME AFE is a straight line, i.e. angle EFB is 90 degrees. (this is not explicitly given).

If that's the case, AE is a transversal of parallel lines AB and DE.

And Angle A is congruent to angle E (alternate interior angles).

Therefore sin(A)=sin(E)=0.5

8 0

3 years ago

A multiple choice exam has 20 questions. Each question has 3 possible answers; there is no partial credit. Only 1 answer out of

amid [387]

Answer:To find out the theoretical probability of the case given, we need to make certain assumptions.

First, we'll assume that he'll attempt all of the questions, i.e he'll attempt all 10 questions.

Next assumption is that each option in each question is equally likely to be marked by the student.

This pretty much leads us to a binomial probability distribution.

Conditions are:

Answers 10 questions.

Each question has 4 options with only one correct answer and all other incorrect answers.

Student is equally likely to pick any outcome in any given question.

Hence, probability of choosing correct answer is 1/4 = 0.25. Probability of choosing incorrect answer is 1–1/4 = 3/4 = 0.75.

The number of trials is 10.

Total number of success is exactly 8 and failure is 2 amongst the 10 questions in any particular order.

Now, calculation is fairly simple.

Binomial probability distribution is such that…

P(8 correct ; 2 wrong)

= 10C8 × (0.25)^8 × (0.75)²

= 405/1048576 ≈ 3.862380981 × 10^-4 ≈ 0.000386

Step-by-step explanation:

6 0

3 years ago

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mou

solniwko [45]

Complete Question

According to a study done by a university student, the probability a randomly selected individual will not cover his or her mouth when sneezing is 0.267 Suppose you sit on a bench in a mall and observe people's habits as they sneeze

(a) What is the probability that among 18 randomly observed individuals exactly 6 do not cover their mouth when sneezing?

Answer:

$P(X=6)=(0.162)$

Step-by-step explanation:

From the question we are told that:

Sample size $n=18$

Probability $P=0.267$

No. that do not cover their mouth when sneezing $x=6$

Generally the equation for The Binomial distribution is mathematically given by

Parameters

B(18,0.267)

Therefore

$P(X=x)=(18..x)(0.267)^x(1-0.267)^{18-x}$

Where

$x=6$

Therefore

$P(X=6)=(18..6)(0.267)^6(1-0.267)^{18-6}$

$P(X=6)=(0.162)$

5 0

3 years ago