Answer:
r1= -3
r2= (11/2)
Step-by-step explanation:
5-4r=17
-4r=17-5
-4r=12
r=13
and
5-4r=-17
-4r=-22
r= 11/2
Answer: 109/1000
.109 can not be reduced, so we must put it in a fraction with 1,000.
So, the fraction would be 109/1000, because we need a denominator as 1,000.
The answer = 109/1000
Answer:
0.156
Step-by-step explanation:
Using binomial probability formula, we have :
P( a out of n ) =ⁿCₐ x pᵃ x qⁿ⁻ᵃ ------------------------------------------------- (1)
Where n = total number of sample
a = number of success
p = probability of success
q = probability of failure
n-a = number of failures
From the question:
n =10 , a = 7, p=0.54, q = 1-p = 0.46
Substituting into equation (1) we have:
P (7 out of 10) = ¹⁰C₇ x (0.54)⁷x (0.46)¹⁰⁻⁷
= 0.1563
≈ 0.156
(10x - 65) degrees is equal to (9x - 49) degrees, therefore you can set them into an equation.
(10x - 65) = (9x - 49)
By subtracting 9x in both sides,
(10x - 9x) - 65 = (9x -9x) - 49
x - 65 = -49
By adding 65 in both sides,
x - 65 + 65= -49 + 65
x = 16
Next, to find the value of z, it’s important to know that the straight line has 180 degrees. Then you would substitute the x value you found into one of your equation and subtract it from 180.
10 (16) - 65 = 160 - 65 = 95
Now you know that (10x - 65) degrees is equal to 95 degrees,
180 - 95 = z = 85
Answer: x = 16
z = 85
