What's the answer to: divide £48 in the ratio 7:5 (please show your working, much appreciated)
1 answer:
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Answer:
The percentage of increase in fuel expenses is 20%
Step-by-step explanation:
Given:
Fuel expense in last year = $800
Fuel expense in this year = $960
To Find:
The percentage of increase
Solution:
Let the percentage increase be X
Then X =
Now substituting the values we get,
X= 20%
The surface area of the cone is given by:
where r is the radius and L is slant height.
In this case r=5 and L=12. Then the surface area is:
Therefore the surface area is 267 squared centimeters,
Answer:
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.
Step-by-step explanation:
79% of the fruit sold at Fred's Fruit stand has been any good. Test if there has been an increase.
At the null hypothesis, we test if there has been no increase, that is, the proportion is still of 79%, so:
At the alternative hypothesis, we test if there has been an increase, that is, more than 79% being good, so:
The test statistic is:
In which X is the sample mean, is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.79 is tested at the null hypothesis:
This means that
In a random sample if 475 pieces, 85 were bad.
So 475 - 85 = 390 were good, and:
Value of the test statistic:
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion above 0.8211, which is 1 subtracted by the p-value of Z = 1.66.
Looking at the z-table, z = 1.66 has a p-value of 0.9515.
1 - 0.9515 = 0.0485
The p-value of the test is 0.0485 < 0.05, also less than 0.07, so there is sufficient evidence to conclude that there is a statistically significant increase in the percentage of good fruit, for both significance levels, thus the change in significance levels do not change the conclusion.