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jarptica [38.1K]
2 years ago
9

Find the inverse of the function y = cube root (x/3)-1

Mathematics
1 answer:
lianna [129]2 years ago
4 0
Hello here is a solution : 

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Jeremy is cutting a board into pieces that are 1 2/3 feet long . The board is 14 1/4 feet long . How many 1 2/3 -feet long piece
Solnce55 [7]

Answer:

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

Step-by-step explanation:

This can be expressed as;

Total length of the board=length per piece×number of pieces

where;

Total length of board=14 1/4 feet

Length per piece=1 2/3 feet

Number of pieces=n

Replacing;

14 1/4=1 2/3×n

(57/4)=(5/3)n

n=(57/4)×(3/5)=8.55

Total number of 1 2/3 feet long pieces that will be cut=8 pieces

7 0
3 years ago
Read 2 more answers
6. Write an equation of a line parallel to y = 3x + 9 and goes through the point (-1,5).
lisabon 2012 [21]

Answer: The equation parallel to the line is y=3x+8

Step-by-step explanation: Parallel lines have the same gradients, wr have a gradient for the above line which 3. The standard formula for the linear equation is y=mx+c

We have to calculate c since we have x and y.

y=mx+c

5= 3(-1)+c

c=8

The equation become y=3x+8

4 0
2 years ago
What is -x^2 if x=-2
yanalaym [24]

Answer:

-4

Step-by-step explanation:

plug in -2

-(-2)^2 = -4

4 0
3 years ago
Read 2 more answers
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

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

6 0
3 years ago
48/80 divided by what equals 3/5 ?
mote1985 [20]
They have the exact same value so you just divide by 1
6 0
3 years ago
Read 2 more answers
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