All categories

3 years ago

15=-3(2c+d) solve for c

Mathematics

1 answer:

lorasvet [3.4K]3 years ago

3 0

Answer:

c = $\frac{-5-d}{2}$

Step-by-step explanation:

Given

15 = - 3(2c + d) ( divide both sides by - 3 )

- 5 = 2c + d ( subtract d from both sides )

- 5 - d = 2c ( isolate c by dividing both sides by 2 )

$\frac{-5-d}{2}$ = c

You might be interested in

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct. Suppose that one of the st

Alex

Answer:

0.0111% probability that he answers at least 10 questions correctly

Step-by-step explanation:

For each question, there are only two outcomes. Either it is answered correctly, or it is not. The probability of a question being answered correctly is independent from other questions. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

A multiple-choice examination has 15 questions, each with five answers, only one of which is correct.

This means that $n = 15, p = \frac{1}{5} = 0.2$

What is the probability that he answers at least 10 questions correctly?

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15)$

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

$P(X = 10) = C_{15,10}.(0.2)^{10}.(0.8)^{5} = 0.0001$

$P(X = 11) = C_{15,11}.(0.2)^{11}.(0.8)^{4} = 0.000011$

$P(X = 12) = C_{15,12}.(0.2)^{12}.(0.8)^{3} \cong 0$

$P(X = 13) = C_{15,13}.(0.2)^{13}.(0.8)^{2} \cong 0$

$P(X = 14) = C_{15,14}.(0.2)^{14}.(0.8)^{1} \cong 0$

$P(X = 15) = C_{15,15}.(0.2)^{15}.(0.8)^{0} \cong 0$

$P(X \geq 10) = P(X = 10) + P(X = 11) + P(X = 12) + P(X = 13) + P(X = 14) + P(X = 15) = 0.0001 + 0.000011 = 0.000111$

0.0111% probability that he answers at least 10 questions correctly

3 0

3 years ago

Hannah is 3 years older than twice her brother Joey’s age. Joey is 2 years old. How old is Hannah? Show all of your work!

DaniilM [7]

Answer:

Step-by-step explanation:

twice for joey's age so joeys age is 2 double that it will be 4 so 3+4=7

5 0

3 years ago

Which of the following is a unit rate?

ella [17]

4 feet/1 second

...
..

6 0

4 years ago

Can someone explain how to do this

n200080 [17]

You need to divide the miles by the hours to et the Average speed.
M divided by h = s
Because to get the mph (miles per hour) you multiply the average speed to the hours.
S•h=mph

8 0

4 years ago

#14 i

ivann1987 [24]

Answer:

Incorrect/No

Step-by-step explanation:

7x2=14

-7x2=-14

<u>Follow the below guidelines:</u>

A positive number times a positive number is a positive number
A negative number times a positive number is a negative number
A positive number times a negative number is a negative number
A negative number times a negative number is a positive number

Looking at the last one, we see that -2x-7=14, a positive number

Hope this helps!

--Applepi101

7 0

3 years ago