Answer:
x=-1
Step-by-step explanation:
-15=22x+7
Subtact 7 both sides
-15-7=22x+7-7
-22x=-22
Divide both sides by -22
-22x=-22
x=-1
Answer:
We need a sample of size at least 13.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of 
, and a confidence level of 
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of 
.
The margin of error is:
90% confidence interval: (0.438, 0.642).
The proportion estimate is the halfway point of these two bounds. So
95% confidence level
So 
, z is the value of Z that has a pvalue of 
, so 
.
Using the information above, what size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?
We need a sample of size at least n.
n is found when M = 0.08. So
Rounding up
We need a sample of size at least 13.
Answer:
∠TRS = 40°
Step-by-step explanation:
∠UTS is an exterior angle of the triangle
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is
∠UTS = ∠TRS + ∠RST
9x - 15 = 3x + 16 + x + 9
9x - 15 = 4x + 25 ( subtract 4x from both sides )
5x - 15 = 25 ( add 15 to both sides )
5x = 40 ( divide both sides by 5 )
x = 8
∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°
First, we need to get all of the r's on the same side. To do this, we need to subtract "r" from both sides.
0.25r - 0.125 + 0.5r - r = 0.5 + r - r
0.25r - 0.125 +0.5r - r = 0.5
Now, we need to add like terms.
0.25r + 0.5r - r - 0.125 = 0.5
-0.25r - 0.125 = 0.5
Now, we need to get the "r" variable by itself.
-0.25r - 0.125 + 0.125 = 0.5 + 0.125
-0.25r = 0.625
Now, we divide both sides by -0.25
(-0.25r) / (-0.25) = 0.625 / (-0.25)
r = -2.5
Step-by-step explanation:
I have answered ur question
