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3 years ago

Factor 56−16 56−16 using the GCF. I TRIED IT AND ITS NOT 8

Mathematics

2 answers:

Svetach [21]2 years ago

5 0

It is eight. There is no way it's wrong I doubled checked.

Neko [114]2 years ago

3 0

The prime factorization of 56= 2 x 2 x 2 x 7
The prime factorization of 16= 2 x 2 x 2 x 2= 2^4

There are 3 common 2’s and then you multiply 2 x 2 x 2= 8

So the answer is 8.

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An article reported that for a sample of 52 kitchens with gas cooking appliances monitored during a one-week period, the sample

kolbaska11 [484]

Answer:

a) $654.16-2.01\frac{164.55}{\sqrt{52}}=608.29$

$654.16+2.01\frac{164.55}{\sqrt{52}}=700.03$

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

b) $n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189$

Step-by-step explanation:

Part a

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

$\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=52-1=51$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,51)".And we see that $t_{\alpha/2}=2.01$

Replacing we got:

$654.16-2.01\frac{164.55}{\sqrt{52}}=608.29$

$654.16+2.01\frac{164.55}{\sqrt{52}}=700.03$

And we can conclude that we are 95% confident that the true mean of Co2 level is between 608.29 and 700.03 ppm

Part b

The margin of error is given by :

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

The desired margin of error is ME =50/2=25 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} s}{ME})^2$ (b)

The critical value for 95% of confidence interval now can be founded using the normal distribution. And in excel we can use this formla to find it:"=-NORM.INV(0.025;0;1)", and we got $z_{\alpha/2}=1.960$ , and we use an estimator of the population variance the value of 175 replacing into formula (b) we got:

$n=(\frac{1.960(175)}{25})^2 =188.23 \approx 189$

6 0

3 years ago

What is the solution to the equation below?

lara31 [8.8K]

Answer:

$x=4096$ , Option B

Step-by-step explanation:

Given, $\log_{8}x=4$

Formula needed,

$\log_{a}b=\frac{\log b}{\log a}$

Therefore,

$\log_{8}x=\frac{\log x}{\log 8}$

$\frac{\log x}{\log 8}=4$

${\log x}=4{\log 8}$

$\log x={\log 8^4}$

$x=8^4$

$x=4096$

Option B is correct.

8 0

3 years ago

What is down payment with regard to buying a house?

Lyrx [107]

<span>The down payment is an initial payment made when something is bought on credit.

It usually depends on the type of house or any other other form of object.</span>

7 0

2 years ago

Solve for v.<br> 4v = 676

SpyIntel [72]

Answer:

v=169

Step-by-step explanation:

$4v=676$

Divide by 4.

$v=\frac{676}{4}$

$v=169$

6 0

3 years ago

Read 2 more answers

Write the value of the expression 3^3/3^6

scZoUnD [109]

Answer:

When dividing two values with the same base, we simply subtract the first exponent by the second and keep the original base. 3^3-6=3^-3. This equals out to be 1/27.

Step-by-step explanation:

6 0

3 years ago