1 multiplied by 25 and 5 multiplied by 5
Imagine that the class only had 4 students (unrealistic most likely, but small numbers help much better I think)
If we had 4 students and 3 were boys, then 4-3 = 1 girl is in the class. This makes the ratio of boys to girls be 3 to 1. In other words, there are 3 times as many boys compared to girls.
Divide the number of girls (1) over the number of students total (4) to get 1/4 = 0.25 = 25%
<h3>Answer: 25%</h3>
Answer:


Step-by-step explanation:
we are given two <u>coincident</u><u> points</u>

since they are coincident points

By order pair we obtain:

now we end up with a simultaneous equation as we have two variables
to figure out the simultaneous equation we can consider using <u>substitution</u><u> method</u>
to do so, make a the subject of the equation.therefore from the second equation we acquire:

now substitute:

distribute:

collect like terms:

rearrange:

by <em>Pythagorean</em><em> theorem</em> we obtain:

cancel 4 from both sides:

move right hand side expression to left hand side and change its sign:

factor out sin:

factor out 2:

group:

factor out -1:

divide both sides by -1:

by <em>Zero</em><em> product</em><em> </em><em>property</em> we acquire:

cancel 2 from the first equation and add 1 to the second equation since -1≤sinθ≤1 the first equation is false for any value of theta

divide both sides by 2:

by unit circle we get:

so when θ is 60° a is:

recall unit circle:

simplify which yields:

when θ is 300°

remember unit circle:

simplify which yields:

and we are done!
disclaimer: also refer the attachment I did it first before answering the question
Answer:
EF = 7 units
AD = 3 units
BC = 11 units
Step-by-step explanation:
Since it is an isosceles trapezoid and the midsegment is x, the sum of the bases divided by 1/2 is the value of the midsegment, x.
x = 1/2(x-4 + 2x-3)
x = 1/2x - 2 + x - 1 1/2
x = 1 1/2 x - 3.5
-1/2 x = -3.5
x = 7 units
EF = 7 units
AD = 7-4 = 3 units
BC = 2(7) - 3 = 11 units
Answer:
0.195
Step-by-step explanation:
Given:
For ; sample size, n = 9 ;
Standard Error (S. E) = 0.39
S. E = σ / sqrt(n)
σ = standard deviation
0.39 = σ / sqrt(9)
σ = 0.39 * 3
σ = 1.17
Therefore, For n = 36
S. E = 1.17 / sqrt(36)
S.E = 1.17 / 6
S.E = 0.195