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3 years ago

Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =

Mathematics

2 answers:

AlexFokin [52]3 years ago

4 0

Answer:

10 1/2

Step-by-step explanation:

Converting both mixed numbers to improper fractions, we get 34/5+37/10. Now we can convert them both to have a denominator of 10 and we get 68/10+37/10. Combining, we get 105/10 or 10 1/2.

Len [333]3 years ago

3 0

Answer:

10 1/2

Step-by-step explanation:

The LCD here is 10.

Thus, our 6 4/5 + 3 7/10 becomes 6 8/10 + 3 7/10.

Adding the whole numbers, we get 9; adding the fractions, we get 15/10, or 1 1/2. Combine this 9 and this 1 1/2:

Thus, our 6 4/5 + 3 7/10 becomes 10 1/2.

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What is the equivalent fraction for 21/8?

Law Incorporation [45]

There are infinite equivalent fraction can be obtained just multiple by any number to both numerator and denominator and you will find equivalent fraction !

as 42/16, 63/24 etc

6 0

3 years ago

Suppose a local manufacturing company claims their production line has a variance of less than 9.0. A quality control engineer d

Alexxx [7]

Answer:

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

$p_v =P(\chi^2$

If we compare the p value and the significance level provided we see that $p_v$ so on this case we have enough evidence in order to reject the null hypothesis at the significance level provided. And that means that the population variance is significantly lower than 9

Step-by-step explanation:

Notation and previous concepts

A chi-square test is "used to test if the variance of a population is equal to a specified value. This test can be either a two-sided test or a one-sided test. The two-sided version tests against the alternative that the true variance is either less than or greater than the specified value"

$n=35$ represent the sample size

$\alpha=0.01$ represent the confidence level

$s =2.12$ represent the sample deviation obtained

$\sigma_0 =3$ represent the value that we want to test

Null and alternative hypothesis

On this case we want to check if the population variance specification is lower than 9 and the deviation lower than 3, so the system of hypothesis would be:

Null Hypothesis: $\sigma^2 \geq 9$

Alternative hypothesis: $\sigma^2$

Calculate the statistic

For this test we can use the following statistic:

$\chi^2 =\frac{n-1}{\sigma^2_0} s^2$

And this statistic is distributed chi square with n-1 degrees of freedom. We have eveything to replace.

$\chi^2 =\frac{35-1}{9} 2.12^2 =16.979$

Calculate the p value

In order to calculate the p value we need to have in count the degrees of freedom , on this case df= n-1= 35-1=34. And since is a left tailed test the p value would be given by:

$p_v =P(\chi^2$

In order to find the p value we can use the following code in excel:

"=CHISQ.DIST(16.979,34,TRUE)"

Conclusion

6 0

3 years ago

A truck driver travels at 59 miles per hour. The truck tires have a diameter of 30 inches. What is the angular velocity of the w

Misha Larkins [42]

Answer:

$661.4\ rpm$