First, we compute the highest common factor between the numbers of toys. The highest common factor for 45, 105 and 75 is 15. Therefore, we will need 15 shelves. On each shelf, there will be 45/15 = 3 dolls, 105/15 = 7 footballs and 75/15 = 5 small cars
Answer:
atleast 385
Step-by-step explanation:
Given that an electrical power company is looking to expand into a new market. Before they commit to supplying the new area with electricity, they would like know the mean daily power usage for homes there.
Population std deviation = 
Sample size =
STd error of sample mean = 
Margin of error for 95% would be Critical value ( std error)
Here since population std dev is known we can use Z critical value= 1.96

Sample size should be atleast 385
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A =
× πr² =
× π × 45 ≈ 35.3
It would take him 2.5 hrs because when you divide 10 by 4 that's what you get
Solution:
The probability of an event is expressed as

In a pack of 52 cards, we have

Thus, we have the probability to be evaluated as