Answer:
17°
Step-by-step explanation:
Let x represent the measure of the angle.
(90 -x) = 5 + 4x . . . . the complement is 5° more than 4 times the angle
85 = 5x . . . . . . . . . . add x-5 to both sides
17 = x . . . . . . . . . . . . divide by 5
The measure of the angle is 17°.
Answer:
0.9375 = 93.75% probability that at least one of the four children is a girl.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have the following sample space
In which b means boy, g means girl
b - b - b - b
b - b - b - g
b - b - g - b
b - b - g - g
b - g - b - b
b - g - b - g
b - g - g - b
b - g - g - g
g - b - b - b
g - b - b - g
g - b - g - b
g - b - g - g
g - g - b - b
g - g - b - g
g - g - g - b
g - g - g - g
Total outcomes
There are 16 total outcomes(size of the sample space)
Desired outcomes
Of these outcomes, only 1(b - b - b - b) there is not a girl.
So the number of desired outcomes is 15.
Probability:

0.9375 = 93.75% probability that at least one of the four children is a girl.
Answer:
which table xD
Step-by-step explanation:
:ooo
Each hamburger weighs 1/4 lbs.
Work:
3/4 divided by 3 equals 3/4 times 1/3 which equals
3/12 simplify it and get 1/4
X + y = 19
10x + 4y = 100
This is a systems of equations.
Isolate x from the first equation:
x = 19 - y
Now, plug it into the second:
10(19 - y) + 4y = 100
190 - 10y + 4y = 100
-6y + 190 = 100
-6y = -90
y = 15
Plug y in and solve for x:
10x + 4(15) = 100
10x + 60 = 100
10x = 40
x = 4
There are four 10-point questions and fifteen 4-point questions.