Answer:
Number of Dolls = 28.
Number of Balls = 32.
Number of Cars = 20.
Step-by-step explanation:
Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.
Suppose the highest common factor of the three numbers be 'X'.
Then, Number of Dolls = 7x
Number of Balls = 8x
Number of Cars = 5x
Given the total number of dolls, balls, and cars is 80.
It means 7x + 8x + 5x = 80.
20x = 80
x = 80/20 = 4.
So, Number of Dolls = 7*4 = 28.
Number of Balls = 8*4 = 32.
Number of Cars = 5*4 = 20.
Answer:28
Step-by-step explanation:
hope this helpes
The correct option is: (E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.
<u>Step-by-step explanation:</u>
The margin of error is a statistic expressing the amount of random sampling error that occurred due to miscalculation and survey results. The margin error is usually a small amount of error.
Generally 5% of margin of error is common and acceptable. When the percentage of the margin of error increases, the confidence in the report result will be reduced.
The recent survey reveals that 19% of the people living in a certain region regularly use sunscreen when going outdoors. The permissible margin of error in this survey is 1%.
Probably the percentage of people using sunscreen in the particular region will be <u>18.5%.
</u>
Answer:
≥
Step-by-step explanation:
1 1\4x2 1\5 = 2 3/4
5/6 x 2 1/5 = 1 5/6
Sin(2θ)+sin(<span>θ)=0
use double angle formula: sin(2</span>θ)=2sin(θ)cos(<span>θ).
=>
2sin(</span>θ)cos(θ)+sin(<span>θ)=0
factor out sin(</span><span>θ)
sin(</span>θ)(2cos(<span>θ)+1)=0
by the zero product property,
sin(</span>θ)=0 ...........(a) or
(2cos(<span>θ)+1)=0.....(b)
Solution to (a): </span>θ=k(π<span>)
solution to (b): </span>θ=(2k+1)(π)+/-(π<span>)/3
for k=integer
For [0,2</span>π<span>), this translates to:
{0, 2</span>π/3,π,4π/3}
