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Mamont248 [21]
3 years ago
9

How do I divide 12 by 3 and get a mixed number .please help!!!!!!

Mathematics
1 answer:
kicyunya [14]3 years ago
4 0
Division doesn't always result in a mixed number.  And you don't have
a choice . . . either it does or it doesn't.

If you divide  12  by  3, it doesn't.  You get just plain  4  with no fraction.
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You work in the HR department at a large franchise. you want to test whether you have set your employee monthly allowances corre
ra1l [238]

Answer:

1) Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

For this case we see that the calculated value is higher than the critical value

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

2) Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

Step-by-step explanation:

Part 1

Data given

\bar X=640 represent the sample mean

\sigma=150 represent the population standard deviation

n=40 sample size  

\mu_o =500 represent the value that we want to test  

\alpha=0.01 represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

Step1:State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the true mean is higher than 500, the system of hypothesis would be:  

Null hypothesis:\mu \leq 500  

Alternative hypothesis:\mu > 500  

Step 2: Calculate the statistic

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

We can replace in formula (1) the info given like this:  

z=\frac{640-500}{\frac{150}{\sqrt{40}}}=5.90  

Step 3: Calculate the critical value

For this case since we are conducting a right tailed test we need to find a critical value in the normal standard distribution who accumulates 0.01 of the area in the right and we got:

z_{crit}= 2.33

Step 4: Compare the statistic with the critical value

For this case we see that the calculated value is higher than the critical value

Step 5: Decision

Since the calculated value is higher than the critical value we have enugh evidence to reject the null hypothesis at 1% of significance level

Part 2

P-value  

Since is a right tailed test the p value would be:  

p_v =P(z>5.90)=1.82x10^{-9}  

If we compare the p value and the significance level given \alpha=0.01 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis, same conclusion for part 1

7 0
3 years ago
Which expression is equivalent to 4(23)​
Blizzard [7]

Answer:

the correct answer is , 4(20+3)

Step-by-step explanation:

6 0
3 years ago
Emily is 68 years old. Colin is 17 years older than Emily. Dan is 16 years younger than Emily. What is the total of their combin
Oksanka [162]

Answer:

205 years

Step-by-step explanation:

E=68 years

C=E+17=68+17=85 years

D=E-16=68-16=52 years

Total=E+C+D=68+85+52=205 years

7 0
3 years ago
What is the exact circumference of the circle?
fredd [130]
Data:

Formula: diameter = 2*radius

Formula: (<span>Circle length)
</span>C = 2* \pi *r
<span>
Solving: </span><span>Using the data
</span>diameter = 2*radius
20 = 2*r
2r = 20
r =  \frac{20}{2}
\boxed{r = 10\:ft}

<span>Now, replace in the circumference length formula
</span>C = 2 \pi *r
C = 2 \pi *10
\boxed{\boxed{C = 20 \pi \:ft}}\end{array}}\qquad\quad\checkmark

Answer:
<span>The exact circumference of the circle is </span>20 \pi \:ft
7 0
3 years ago
Find the value of x that makes ABCD a parallelogram.
daser333 [38]

Answer:

the answer is 6

Step-by-step explanation:

5x+150=180( cointerrior angle of traingle)

5x=30

x=6

7 0
2 years ago
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