All categories

4 years ago

-3( n+5 )=12 whats is the answer

Mathematics

2 answers:

evablogger [386]4 years ago

5 0

Question

-3( n+5 )=12

whats is the answer

Answer:

-9

Step-by-step explanation:

-3*( n+5 )=12

-3n - 15 = 12

-3n = 12 + 15

-3n = 27

n = 27 : (-3)

n = -9

----------------------

check

-3 * (-9 + 5) = 12

-3 * (-4) = 12

the answer is good

Reil [10]4 years ago

3 0

Answer:

n = -9

Step-by-step explanation:

-3 (n + 5) = 12 Use the distributive property (-3 · n) + (-3 · 5) = 12

-3n - 15 = 12 Add 15 to both sides

-3n = 27 Divide both sides by -3

n = -9

Check your answer by plugging -9 in for n.

-3 (n + 5) = 12 Replace n with -9

-3 (-9 + 5) = 12 Add

-3 (-4) = 12 Multiply

12 = 12

You might be interested in

PLEASE HURRY write the equation of the inverse function y=1/2cos^-1(pix)-3

GaryK [48]

Answer:

$f^{-1}(x) = \frac{cos(2x+6)}{\pi }$

Step-by-step explanation:

$y = \frac{1}{2} cos^{-1} (\pi x)-3$

Firstly, we've to interchange the variables.

$x = \frac{1}{2} cos^{-1}(\pi y)-3$

Solving for y

$x = \frac{cos^{-1} \pi y}{2} -3$

Adding 3 to both sides

$x+3 = \frac{cos^{-1}(\pi y)}{2}$

Multiplying 2 to both sides

$2(x+3) = cos^{-1} (\pi y)\\2x+6 = cos^{-1} (\pi y)$

Taking cosine on both sides

$\pi y = cos (2x+6)$

Dividing both sides by y

$y = \frac{cos(2x+6)}{\pi }$

Replace y by $f^{-1}(x)$

=> $f^{-1}(x) = \frac{cos(2x+6)}{\pi }$

4 0

3 years ago

Read 2 more answers

Suppose a large shipment of laser printers contained 18% defectives. If a sample of size 340 is selected, what is the probabilit

Anestetic [448]

Answer:

The probability that the sample proportion will be greater than 13% is 0.99693.

Step-by-step explanation:

We are given that a large shipment of laser printers contained 18% defectives. A sample of size 340 is selected.

Let $\hat p$ = the sample proportion of defectives.

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }$ ~ N(0,1)

where, p = population proportion of defective laser printers = 18%

n = sample size = 340

Now, the probability that the sample proportion will be greater than 13% is given by = P( $\hat p$ > 0.13)

P( $\hat p$ > 0.13) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n}} }$ > $\frac{0.13-0.18}{\sqrt{\frac{0.13(1-0.13)}{340}} }$ ) = P(Z > -2.74) = P(Z < 2.74)

= 0.99693

The above probability is calculated by looking at the value of x = 2.74 in the table which has an area of 0.99693.

5 0

4 years ago

Which is the graph of

givi [52]

Step-by-step explanation:

Where is the graph Buddy?????

4 0

3 years ago

Read 2 more answers

NEED HELP WHAT’S THE RELATIONSHIP OF X AND Y PLEASE HELP MEE

lora16 [44]

Answer:

i have autism and adhd and add and dmdd so plz dont yell at me that i did not answer it!!!

Step-by-step explanation:

3 0

3 years ago

Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.9 years with a

Bas_tet [7]

Answer:

5.9 years.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

In this question:

Mean of the population is $\mu = 5.9$

If a sampling distribution is created using samples of the ages at which 69 children begin reading, what would be the mean of the sampling distribution of sample means?

By the Central Limit Theorem, the same population mean, of 5.9 years.

3 0

3 years ago