At D.J.s Drink stand Erika ordered a cup of fruit punch made using 1/4 cup of lemonade 1/12 cup of cranberry juice. What fractio
1 answer:
The fraction of the orange juice will be 2/3cup.
Why?
Since there is no additional information, let's assume that the fruit punch is made using just three juice fruits, lemonade juice, cranberry juice and the rest is orange juice.
We can calculate the fraction of the orange juice using the following information:
Hence, we have that the fraction of the orange juice will be 2/3cup.
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Assuming we're dealing with , which is the same as writing (x+2)/(-5) < 4, then the answer is choice C.
We multiply both sides by -5 and this will flip the inequality sign.
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Multiplying or dividing both sides by a negative number flips the inequality sign.
An example would be saying -2x < 10 leads to x > -5
What we can do is divide both sides by -2 and flip the inequality sign, or we could follow the steps shown below
- -2x < 10
- 0 < 10+2x ... adding 2x to both sides
- -10 < 2x ... subtracting 10 from both sides; this is one way to see why the sign flip happens
- 2x > -10
- x > -10/2 ..... dividing both sides by 2
- x > -5
Answer:
a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.
b. z=1.24. No, it can not be concluded that the population mean is greater than 50.
c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.
Step-by-step explanation:
We have a hypothesis test for the mean, with the hypothesis:
The sample size is n=55 and the population standard deviation is 6.
The significance level is 0.05.
We can calculate the standard error as:
For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.
a. If the sample mean is M=52.5, the test statistic is:
The null hypothesis is rejected, as z>zc and falls in the rejection region.
b. If the sample mean is M=51, the test statistic is:
The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.
c. If the sample mean is M=51.8, the test statistic is:
The null hypothesis is rejected, as z>zc and falls in the rejection region.