Are the following lines parallel ,perpendicular ,or neither

If 6 cans of soup cost $1.50, how much will 9 cans cost?

Step2247 [10]

If 6 cans of soup cost $1.50

9 cans cost .......................x?

x = 9 * 1.50 / 6

x = 2.25

Answer

9 cans cost $2.25

3 0

3 years ago

Write the formula to calculate how much dough is prepared in x hours.

spin [16.1K]

Answer: D(x) = 2kg/h*x

where x is the number of hours.

Step-by-step explanation:

The information that we have is:

in 5 hours, we can prepare 10kg of dough.

With this, we can find the rate per hour, to do this we find the quotient:

R = 10kg/5h = 2kh/h

This meeans that in one hour, we can make 2kg of dough.

Then, in x hours, we can make x times 2kg of dough, then the equation will be:

D(x) = 2kg/h*x

where x is the number of hours.

5 0

3 years ago

This years “Dream of a lifetime” lottery sold 50,000 tickets and gave away 5,000 prizes including one grant prize

dem82 [27]

Answer:

Grand Prize: 1:50,000

Any Prize: 1:10

Step-by-step explanation:

8 0

3 years ago

There verticles of a rectangle are shown on the grid what are the coordinates of the missing vertex 3,5,6

Nadusha1986 [10]

Answer:

Step-by-step explanation:

Since,

It's a rectangle so it will be formed on the coordinate which is 3units above dot(3,5) in picture where above the dot there is no point .

7 0

2 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

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