This question is incomplete, the complete question is;
In a survey, 55% of the voters support a particular referendum. If 40 voters are chosen at random,
find the mean and variance for the number of voters who support the referendum.
Answer:
a) The Mean is 22
b) Variance is 9.9
Step-by-step explanation:
Given that;
55% of the voters support a particular referendum p = 0.55
q = 1 - p = 1 - 0.55 = 0.45
sample size n = 40
a)
Mean = sample size n × p
Mean = 40 × 0.55
Mean = 22
Therefore the Mean is 22
b)
Variance = n × p × q
so we substitute
Variance = 40 × 0.55 × 0.45
Variance = 9.9
Therefore the Variance is 9.9
Call the numbers x and y. According to the first sentence, xy = 44. You can rearrange to solve for y: y = 44/x. The sum of the numbers, s(x), is x + y, but we just found a way of expressing y in terms of x. Therefore: the sum expressed as a function of one of the numbers (x) is:
s(x) = x + 44/x
Answer:
4x + 2
Step-by-step explanation:
-5 x 2 - 4x +8
- 10 - 4x + 8 - negative 5 times 2 = -10
-2 - 4x - negative 10 plus 8 = -2
4x - -2 - switch them around so you have 4x - -2
4x + 2 - two negatives make a positive
Answer: 36.25°
Step-by-step explanation:
Use SOHCAHTOA (sin, cosine and tangent)
SOHCAHTOA:
SOH: Sin(θ) = Opposite / Hypotenuse
CAH: Cos(θ) = Adjacent / Hypotenuse
TOA: Tan(θ) = Opposite / Adjacent
When you have an angle that you want to solve, look at what information you're given. In this problem, we're give nthe sides that are opposite to and adjacent to the angle we want to solve. So, we use TAN.
And just as a note, θ this symbol is called theta, and it represents an angle.
TAN(θ) = Opposite / Adjacent = 11/15
Then, use the inverse of tan (you can find the button on a calculator). You can use the inverse of sine, cosine or tangent whenever you want to switch them from one side of the equation to the other.
TAN(θ) = 
θ = 
Then, using a calculator, solve. The answer is about 36.25°
