Answer:
x = 2.5
Step-by-step explanation:
You have a right triangle, if we use the 67° angle the opposite side is 6 and the adjacent side is x. So we use the tangent formula
Tan θ = opposite / adjacent
adjacent = opposite / Tan θ
x = 6 / Tan 67
x = 2.5
Answer:
C.4.18g
The amount will remain after 12 days is 4.18 g
Step-by-step explanation:
we can use formula

where
h is half life time
t is time in days
Po is initial quantity
P(t) is the quantity after t days
we are given
Curium-243 has a half-life of 28.5 days

In a sample of 5.6 grams of curium-243
so,

now, we can plug values

now, we can plug t=12


So,
The amount will remain after 12 days is 4.18 g
This uses the concept of proportions.
.002 converted to a fraction is 2/1000, or 1/500.
We set up the proportion like so:
10/100 = .002/x
Solve for x.
Cross-multiply.
10 * x = .002 * 100
10 * x = .2
x = .2 / 10
x = .02
The answer is .02
Answer:
D. Both distributions are skewed left, so the interquartile range is the best measure to compare variability.
Step-by-step explanation:
Plotting the data roughly shows that the data is skewed to the left. In other words, data is skewed negatively and that the long tail will be on the negative side of the peak.
In such a scenario, interquartile range is normally the best measure to compare variations of data.
Therefore, the last option is the best for the data provided.
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