HELPSolve for x X = A: 1 B: 3 C: 7

If the average of three numbers is V if one number is Z and another is y what is the remaining number ?

user100 [1]

The formula for an average of three numbers is (x+y+z)/3. So if V equals the average, then we find the formula
V = (x+y+z)/3
We are now looking for x. We can divide each of the variables in the parentheses by 3, making the formula
V = x/3 + y/3 + z/3
So now bring the unwanted variables to the same side as V.
V - y/3 - z/3 = x/3
Now multiply both sides by 3 to find x.
3V - y - z = x

x = 3V - y - z

6 0

3 years ago

Is 3a + 3B equivalent to 3 (a + 2B) true or false

natulia [17]

Hi there!

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I believe your answer is:

The expressions given are not equivalent.

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Here’s why:

We can check if the expressions are equivalent by simplifying one of them.

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$\boxed{3(a+2B)}\\\\---------\\\rightarrow3*a = 3a\\\\\rightarrow3 * 2B = 6B\\\\\text{Therefore:}\\\\3(a+2B)=\boxed{3a+6B}\\\\\text{and}\\\\\boxed{3(a+2B)\neq 3a+3B}$

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You can also say that they are not equivalent because it was not completely distributed.

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Hope this helps you. I apologize if it’s incorrect.

7 0

3 years ago

Read 2 more answers

Which function describes the arithmetic sequence shown?

Irina-Kira [14]

Answer:

D)

because thats the only answer that would make sence.

6 0

3 years ago

National data in the 1960's showed that about 44% of the adult population had never smoked cigarettes. In 1995 a national health

Marta_Voda [28]

Answer:

a) $0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

b) After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Solution to the problem

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by $\alpha=1-0.95=0.05$ and $\alpha/2 =0.025$ . And the critical value would be given by:

$z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96$

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.52 - 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.487$

$0.52 + 1.96\sqrt{\frac{0.52(1-0.52)}{881}}=0.553$

The 95% confidence interval would be given by (0.487;0.553)

Part b

After see the confidence interval we see that the lower limits 0.487>0.44 with 0.44 or 44% the estimated proportion for 1960, we can conclude that we have a significant increase in the adult proportion had never smoked cigarettes at 5% of significance.

4 0

4 years ago

Three times 3^81 is equal to 9 to what power?

jeka57 [31]

The answer would be *edited* 41

6 0

3 years ago