What is 743×295 in standard algorithm

The owner of a music store received a shipment of 1,532 CDs. The CDs came in 37 boxes. The same number of CDs were in 36 boxes.

Pachacha [2.7K]

Your answer is d. 41

3 0

4 years ago

Read 2 more answers

Unfortunately, arsenic occurs naturally in some ground water†. A mean arsenic level of μ = 8.0 parts per billion (ppb) is consid

riadik2000 [5.3K]

Answer:

$t=\frac{7.2-8}{\frac{2.1}{\sqrt{41}}}=-2.439$

$p_v =P(t_{(40)}$

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, and the true mean is lower than 8 ppb at 1% of signficance. We need to be careful with this interpretation since the p value is near to the significance level.

Step-by-step explanation:

Data given and notation

$\bar X=7.2$ represent the mean height for the sample

$s=2.1/tex] represent the sample standard deviation [tex]n=41$ sample size

$\mu_o =8$ represent the value that we want to test

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

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the true mean is less than 8, the system of hypothesis would be:

Null hypothesis: $\mu \geq 8$

Alternative hypothesis: $\mu < 8$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

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

$t=\frac{7.2-8}{\frac{2.1}{\sqrt{41}}}=-2.439$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=41-1=40$

Since is a one side test the p value would be:

$p_v =P(t_{(40)}$

Conclusion

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, and the true mean is lower than 8 ppb at 1% of signficance. We need to be careful with this interpretation since the p value is near to the significance level.

4 0

4 years ago

Use an algebraic equation to find the measure of each angle that is represented in terms of x.

yawa3891 [41]

Answer:

12x-17=139

8x+35=139

Step-by-step explanation:

The angles are vertical angles which means they are equal

12x-17 = 8x+35

Subtract 8x from each side

12x -8x-17 = 8x-8x+35

4x -17 = 35

Add 17 to each side

4x - 17 +17 = 35+17

4x = 52

Divide each side by 4

4x/4 = 52/4

x =13

12x-17 = 12(13) -17 = 156-17 =139

8x+35 =8(13) +35=104+35=139

4 0

3 years ago

Angle A and angle B are supplementary angles. If m angle A = (5x+2) and m angle B = (8x+9) , then find the measure of angle B

otez555 [7]

You first identify what supplementary angles are,angles that add up to 180.
5x+2+8x+9=180
17x+11=180-11
17x=169
x=169divided by 17
x=9.9411
x=10 when rounded into the next value
8x*10=80+989

8 0

4 years ago

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d

Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

$3$ units left and $2$ units down