Answer:
9-8
Step-by-step explanation:
60 divided by 7 is 8.5
Answer: |p-72% |≤ 4%
Step-by-step explanation:
Let p be the population proportion.
The absolute inequality about p using an absolute value inequality.:
, where E = margin of error, 
= sample proportion
Given: A poll result of 72% with a margin of error of 4% indicates that p is most likely to be between 68% and 76% .
|p-72% |≤ 4%
⇒ 72% - 4% ≤ p ≤ 72% +4%
⇒ 68% ≤ p ≤ 76%.
i.e. p is most likely to be between 68% and 76% (.
Joshua delivered 30 hives to the local fruit farm.
If the farmer has paid to use 5% of the total number of Joshua's hives.
So 30 hives is 5% of the total number of hives.
5% of hives = 30
1% of hives = 30 ÷ 5 = 6
100% of hives = 6 × 100 = 600
Thus, Joshua had 600 hives before selling.
Now, he has = 600 - 30 = 570 hives.
Now, Joshua has 570 hives.
They are dependent events because if cara spins it and it lands on her she gets to play with the puppy, But if she misses it and her brother spins and it lands on him he gets to play with the puppy.
Short answer: the event is dependent because the outcome of the first spin effects the brother outcome
Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
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15. m = (250 N)/(5 m/s²) = 50 kg
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16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
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<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
