All categories

2 years ago

Which value of n makes the equation true? 2/3n = -12

Mathematics

2 answers:

Vikentia [17]2 years ago

7 0

Answer:

$\Huge \boxed{N=-18}$

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation.

First, multiply 3 from both sides.

3*2/3n=3(-12)

Solve.

3*-12=-36

2n=-36

Next, divide 2 from both sides.

2n/2=-36/2

Solve.

-36/2=-18

Therefore, the correct answer is n=-18.

vivado [14]2 years ago

5 0

Answer:

-1/18

Step-by-step explanation:

Let's multiply left and right by 3n:

2 = -12 * 3n =>

-36n = 2

now divide by -36:

n = 2/-36 = -1/18

You might be interested in

Consider the equation an^2 = 182 where a is any number between 2 and 5 and n is a positive interger. What are the possible value

vodka [1.7K]

Step-by-step explanation:

an² = 182

When a = 2, n² = 182/2 = 91, n = 9.539...

When a = 5, n² = 182/5 = 36.4, n = 6.033...

Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.

Therefore our possible values of n are 7, 8 and 9.

6 0

2 years ago

Toby is making a picture graph. each picture of a book is equal to 2 bookso he has read. the row for month 1 has 3 pictures of b

lozanna [386]

It has to be nine because 2 times 3 is 9

8 0

2 years ago

Read 2 more answers

In two sample surveys, 125 people were asked about their favorite fruit. In the first survey, 40 people chose apples, 64 chose o

Artemon [7]

Answer: Marianne made an inference that is true based on the data. More than half of the people surveyed in each sample chose oranges as their favorite fruit. Since most people in each sample chose oranges, it is likley that oranges are the favorite fruit of the entire population.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The table summarizes the scoring of a football game between Team A and Team B. A touchdown (TD) is worth 6 points, a field goal

Anit [1.1K]

If you would like to find the final score, you can do this using the following steps:

Team A: 6 points * 3 + 3 points * 2 + 2 points * 1 + 1 point * 0 = 6 * 3 + 3 * 2 + 2 * 1 + 1 * 0 = 18 + 6 + 2 + 0 = 26 points
Team B: 6 points * 4 + 3 points * 4 + 2 points * 1 + 1 point * 2 = 6 * 4 + 3 * 4 + 2 * 1 + 1 * 2 = 24 + 12 + 2 + 2 = 40 points

The final score of team A is 26 points and the final score of team B is 40 points.

3 0

2 years ago

let x = the amoun of raw sugar in tons a procesing plant is a sugar refinery process in one day . suppose x can be model as expo

anygoal [31]

Answer:

The answer is below

Step-by-step explanation:

A sugar refinery has three processing plants, all receiving raw sugar in bulk. The amount of raw sugar (in tons) that one plant can process in one day can be modelled using an exponential distribution with mean of 4 tons for each of three plants. If each plant operates independently,a.Find the probability that any given plant processes more than 5 tons of raw sugar on a given day.b.Find the probability that exactly two of the three plants process more than 5 tons of raw sugar on a given day.c.How much raw sugar should be stocked for the plant each day so that the chance of running out of the raw sugar is only 0.05?

Answer: The mean (μ) of the plants is 4 tons. The probability density function of an exponential distribution is given by:

$f(x)=\lambda e^{-\lambda x}\\But\ \lambda= 1/\mu=1/4 = 0.25\\Therefore:\\f(x)=0.25e^{-0.25x}\\$

a) P(x > 5) = $\int\limits^\infty_5 {f(x)} \, dx =\int\limits^\infty_5 {0.25e^{-0.25x}} \, dx =-e^{-0.25x}|^\infty_5=e^{-1.25}=0.2865$

b) Probability that exactly two of the three plants process more than 5 tons of raw sugar on a given day can be solved when considered as a binomial.

That is P(2 of the three plant use more than five tons) = C(3,2) × [P(x > 5)]² × (1-P(x > 5)) = 3(0.2865²)(1-0.2865) = 0.1757

c) Let b be the amount of raw sugar should be stocked for the plant each day.

P(x > a) = $\int\limits^\infty_a {f(x)} \, dx =\int\limits^\infty_a {0.25e^{-0.25x}} \, dx =-e^{-0.25x}|^\infty_a=e^{-0.25a}$

But P(x > a) = 0.05

Therefore:

$e^{-0.25a}=0.05\\ln[e^{-0.25a}]=ln(0.05)\\-0.25a=-2.9957\\a=11.98$

a ≅ 12

6 0

2 years ago