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3 years ago

What is the quotient and remainder for 52 divided by 8

1 answer:

8 0

<span>Find the quotient and remainder of 52 divided by 8.
This is called a partial quotient because there is a remainder.

=> TO get the quotient, divide the dividend which is 52 to the divisor which is 8
=> 52 / 8 = 6 is our quotient and there is remaining 4
=> thus 4 is considered as the remainder.
To check if our answer is correct, multiply our quotient from our divisor then add the remainder to get the dividend.
=> 6 * 8 = 48 + 4
=> 52

</span>

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A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 420 gram setting. It is

anastassius [24]

Answer:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

$p_v =2*P(t_{(60)}>1.202)=0.234$

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v>\alpha$ so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can conclude that the true mean is NOT different from 420. So the specification is satisfied.

Step-by-step explanation:

Data given and notation

$\bar X=424$ represent the sample mean

$s=26$ represent the sample standard deviation

$n=61$ sample size

$\mu_o =420$ 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 different from 420 or not, the system of hypothesis would be:

Null hypothesis: $\mu = 420$

Alternative hypothesis: $\mu \neq 420$

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:

$t=\frac{424-420}{\frac{26}{\sqrt{61}}}=1.202$

P-value

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

$df=n-1=61-1=60$

Since is a two sided test the p value would be:

$p_v =2*P(t_{(60)}>1.202)=0.234$

Conclusion

4 0

2 years ago

I need this on khan academy.

Alja [10]

9514 1404 393

Answer:

A. (1 2/3, 4 2/3)

Step-by-step explanation:

If you graph the equations, you see the lines intersect at the solution point:

(x, y) = (1 2/3, 4 2/3)

7 0

3 years ago

Tony’s Electronics is marking down the price of a TV 23% from the original price of $175. Which expression can be used to find t

Arlecino [84]

Answer:

The sale price is $\$134.75$

The expression is $\$175(0.77)$

Step-by-step explanation:

we know that

The sale price is equal to subtract the discount price from the original price

The discount price is equal to multiply the original price by the percent discount in decimal form

Let

x ----> the sale price

y ---> discount price

$23\%=23/100=0.23$ ----> percent discount in decimal form

$y=\$175(0.23)=\$40.25$

$x=\$175-y$

substitute

$x=\$175-\$40.25=\$134.75$

therefore

the expression is

$175-0.23(175)\\175(1-0.23)\\175(0.77)$

3 0

2 years ago

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The width of a rectangular room is 80% of its length. If the length of the room is 20 meters, what is the area of the room? A= l

KIM [24]

Answer:320ft^2

Step-by-step explanation:

80% of 20 is 16, because 80% is 4/5 and 20 divided by 5 is 4, multiplied by 4 is 16. Area is L x W, so 16 times 20 is 320, and don't forget unit of measurement, ft^2 for area

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2 years ago

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Five percent of 1/5 is equal to

blagie [28]

1/5 =

Percent = 20%

Decimal = 0.2

-StarGaze

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3 years ago