Write ✓-3 in simplest radical form.
1 answer:
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It has been given that y varies inversely with x, therefore the equation for this relationship is as follows;
y =
\
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
5 = k/x
when we divide 1)/2), k gets cancelled
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6
y =
when y = -18 and x = 6
-18 = k/ 6 ---1)
We need to find x when y = 5
5 = k/x
when we divide 1)/2), k gets cancelled
x = -18*6/5
x = -21.6
when y = 5, then x = -21.6
Answer:
The test statistic is z=2.5.
The null hypothesis is rejected.
There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.
Step-by-step explanation:
This is a hypothesis test for a proportion.
The claim is that more than 10% of the 16 ounce cups are underfilled.
Then, the null and alternative hypothesis are:
The significance level is assumed to be 0.05.
The sample has a size n=100.
The sample proportion is p=0.18.
The standard error of the proportion is:
Then, we can calculate the z-statistic as:
This test is a right-tailed test, so the P-value for this test is calculated as:
As the P-value (0.006) is smaller than the significance level (0.05), the effect is significant.
The null hypothesis is rejected.
There is enough evidence to support the claim that more than 10% of the 16 ounce cups are underfilled.