Answer:
16
Step-by-step explanation:
Simplify the following:
4 + 3×2^3/2
3×2^3/2 = (3×2^3)/2:
4 + (3×2^3)/2
Combine powers. (3×2^3)/2 = 3×2^(3 - 1):
4 + 3×2^(3 - 1)
3 - 1 = 2:
4 + 3×2^2
2^2 = 4:
4 + 3×4
3×4 = 12:
4 + 12
4 + 12 = 16:
Answer: 16
Answer:
8
Step-by-step explanation:
3 + [2 + 4(-3)] ÷ (-2)
Following the PEMDAS order of operations, you must start with the terms within the parenthesis/brackets.
= 3 + [2 + (-12)] ÷ (-2)
= 3 + [-10] ÷ (-2)
= 3 - 10 ÷ (-2)
Divide 10 and (-2) by applying the rule: <em>m</em> ÷ ( - <em>n </em>) = - <em>m</em> ÷ <em>n</em>
= 3 - 10 ÷ 2
= 3 - (-5)
= 3 + 5
= 8
Therefore, the correct answer is 8.
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Answer:
m=2/3, b=4
Step-by-step explanation:
Using the rise over run method, you can count from two points. Also since this line is positive. The b is found by seeing where the line crosses the y axis. It crosses at 4.
Answer:
Step-by-step explanation:
You have to find how much it can process in just one hour so you would divide 27 by 3
= 9
And multiply that by the hour, so
9 x 8 = 72 tons
Answer: The level of Significance is 0.01
Step-by-step explanation: As mentioned in the question that α = 0.01 which implies the significance level. This relates with 99% confidence level.
The significance level tells you the probability of rejecting a null hypothesis by the test when it is really true.
So, in this question the hypothesis would be:
H o : u ≤ 1.75
H α : u > 1.75
If we run the test we could conclude whether or not to reject the null hypothesis. Hence, we use the following formula (since population standard deviation is unknown) :
t n − 1 = × − u /s /√n
t 41 - 1 = 2.09 - 1.75 / 0.88 / √41
t 40 = 2.473
the value of t statistics = 2.473
t40 > 2.473
Hence, we reject the null hypothesis.