Answer:
1.06x
Step-by-step explanation:
The original price of a carrot cake is represented by x.
Emily increased the price of carrot cakes at her bakery by 6%.
We need to find an expression that represents the price of a carrot cake after the increase.
Price = x+6% of x
Hence, the required equation is "1.06x".
The cost will be same for one session. The cost will be $128.
Step-by-step explanation:
Given,
Initial consultation charges for Plan One = $36
Per session fee = $92
Let,
x be the number of sessions.
O(x) = 92x+36
Initial consultation charges for Plan Two = $86
Per session fee = $42
T(x) = 42x+86
For same cost;
O(x) = T(x)
Dividing both sides by 50
Putting x=1 in T(x)
Putting x=1 in O(x)
The cost will be same for one session. The cost will be $128.
Keywords: function, division
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Answer:
The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.
Step-by-step explanation:
A manufacturer of nails claims that only 4% of its nails are defective.
At the null hypothesis, we test if the proportion is of 4%, that is:
At the alternative hypothesis, we test if the proportion is more than 4%, that is:
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.
4% is tested at the null hypothesis
This means that
A random sample of 20 nails is selected, and it is found that two of them, 10%, are defective.
This means that
Value of the test statistic:
P-value of the test and decision:
Considering an standard significance level of 0.05.
The p-value of the test is the probability of finding a sample proportion above 0.1, which is 1 subtracted by the p-value of z = 1.37.
Looking at the z-table, z = 1.37 has a p-value of 0.9147
1 - 0.9147 = 0.0853
The p-value of the test is 0.0853 > 0.05, which means that there is not enough evidence to reject the manufacturer's claim based on this observation.