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Sloan [31]
3 years ago
15

Whats the answer to (m-n)(-3)

Mathematics
1 answer:
Likurg_2 [28]3 years ago
3 0
The answer is -3m + 3n
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Factoriza la diferencia de cubos
makvit [3.9K]

Answer:

The first one will be equal 2

Because

\frac{ - 64}{8}   =  - 8

x ^{3}  = 8 \\

\sqrt[3]{ - 8}  =  - 2

Oh sorry i read the question wrongly i thought you wanted the value of x

8 0
3 years ago
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The​ quality-control manager at a compact fluorescent light bulb​ (CFL) factory needs to determine whether the mean life of a la
stira [4]
<h2>Answer with explanation:-</h2>

Let \mu be the population mean .

By observing the given information, we have :-

H_0:\mu=7450\\\\H_a:\mu\neq7450

Since the alternative hypotheses is two tailed so the test is a two-tailed test.

We assume that the  life of a large shipment of CFLs is normally distributed.

(a) Given : Sample size :  n=81 , since n>30 so we use z-test.

Sample mean : \overline{x}=7240

Standard deviation : \sigma=1350

Test statistic for population mean :-

z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

\Rightarrow\ z=\dfrac{7240-7450}{\dfrac{1350}{\sqrt{81}}}\\\\\Rightarrow\ z=-1.4

The critical value (two-tailed) corresponds to the given significance level :-

z_{\alpha/2}=z_{0.025}=1.96

Since the observed value of z (-1.4) is less than the critical value (1.96) , so we do not reject the null hypothesis.

Hence, we conclude that we have enough evidence to accept that the mean life is different from 7450 hours .

(b) The p-value : 2P(z>-1.4)=0.1615 , it means that the probability that the life of CFLs less than 7240 and greater than 7240 is 0.1615.

(c) The confidence interval for population mean is given by :-

\overline{x} \pm\ z_{\alpha/2}\dfrac{\sigma}{\sqrt{n}}\\\\=7240\pm(1.96)\dfrac{1350}{\sqrt{81}}\\\\=7240\pm294\\\\=(6946,7534)

,

8 0
3 years ago
What is the constant of proportionality in this<br> equation?<br> y= 20x
il63 [147K]

Answer:

k=20

Step-by-step explanation:

The constant of proportionality, k, measures the constant value of the ratio between two proportional quantities, being y and x in this case. Essentially, y/x will always equal 20, the constant of proportionality.

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2 years ago
If DKL =.PVX, which of the following statements must also be true? Check all that apply.
masya89 [10]

Answer:

First one, Second one, and fourth one

Step-by-step explanation:

5 0
3 years ago
If shape 1 is a scaled copy of shape 2, what angle corresponds to angle C?
GrogVix [38]

Step-by-step explanation:

Angle W is the corresponds as to angle C

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