First break it up into 3 different rectangles based on what you know. Since you can make two big 4*8 rectangles, do so first.
2(4*8)=64
The middle rectangle comes next. You can figure out that height by subtracting the 3s from the total 8. So the height = 8-(3+3) = 2.
2*4=8
64+8= 72
Distances are considered to be non-negative in all cases.
The absolute value function is necessary to get a positive result when the difference of coordinate values is negative.
The square root function is defined to return a positive result always, so no absolute value function is required when the distance is found using the square root function.
The answer is 17040.34
Check the annuity due formula
Answer:
2,674.14 g
Step-by-step explanation:
Recall that the formula for radioactive decay is
N = N₀ e^(-λt)
where,
N is the amount left at time t
N₀ is the initial amount when t=0, (given as 42,784 g)
λ = coefficient of radioactive decay
= 0.693 ÷ Half Life
= 0.693 ÷ 18
= 0.0385
t = time elapsed (given as 72 years)
e = exponential constant ( approx 2.7183)
If we substitute these into our equation:
N = N₀ e^(-λt)
= (42,787) (2.7183)^[(-0.0385)(72)]
= (42,787) (2.7183)^(-2.7726)
= (42,787) (0.0625)
= 2,674.14 g
Answer:
The correct answer is option (E)
Step-by-step explanation:
Solution to the question
Let us recall from given question that,
H0:p=0.80
Ha:p≠0.80 (which is the two tailed test)
For the p-value we have,
P-value: Let us assume that the null hypothesis is true, then the probability of observing the sample statistics or the more extreme,
Therefore if p= 0.80, the probability of observing or detecting proportion of samples is of at least 0.84 or at most 0.76 is 0.273.