Answer:
Yes there is sufficient evidence to reject the company's evidence
Step-by-step explanation:
From the question we are told that
The sample size is n = 25
The mean is
The standard deviation is 
The z-score is z = -1.94
The null hypothesis is 
The alternative hypothesis is 
Generally the p-value is mathematically evaluated as

From the z table the area under the normal curve to the left corresponding to -1.94 is

=> 
=> 
Let assume the level of significance is 
Hence the
this mean that
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to reject the company's evidence
Answer:
The ounces of oil needed is 5 ounces of oil
Step-by-step explanation:
The first thing to do here is to calculate the volume of the lemon-scented candle given.
Looking at shape the volume can be calculated using the formula L * B * H
where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm
The volume V is thus = 10 * 8 * 25 = 2,000 cm^3
The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax
That will be = 0.0025 * 2,000 = 5 ounces
Once we sort through the tax terms, that's just
9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.
The value of 1 in 178 is 100 since it is in the hundreds place. The value of 7 in 178 is 70 and the value of 8 in 178 is 8. The hundreds place carries numbers from 1 to 9. Once you get to 10, you add a digit to the number such that you now have four total numbers and the first digit is in the thousands place.
Answer:
The first term is 42.
Step-by-step explanation:
The common difference is 142 - 140 = 2 so we have
50th term = a1 + 2(50 -1) = 140 where a1 is the first term
a1 + 98 = 140
a1 = 140 - 98 = 42.