Answer:
80
Step-by-step explanation:
first, put in (5x-4) for the x in g(x).
g(f(x))=(5x-4)^2 -1
now, FOIL and simplify.
25x^2-40x+16-1
25x^2-40x+15
now, plug in -1 for x.
25(-1)^2-40(-1)+15
25+40+15
80
Complete question :
A random sample of n = 83 measurements is drawn from a binomial population with probability of success 0.4 . Complete parts a through d below. a. Give the mean and standard deviation of the sampling distribution of the sample proportion, . The mean of the sampling distribution of is nothing. The standard deviation of the sampling distribution of is nothing.
Answer:
Mean = 33.2000
Standard deviation = 4.4632
Step-by-step explanation:
Given that :
Sample size (n) = 83
Probability of success (p) = 0.4
q = p' = (1 - p) = 1 - 0.4 = 0.6
The mean of the sampling distribution :
Sample size * probability of success
n * p = 83 * 0.4 = 33.2000
The standard deviation of the sampling distribution :
σ=√(sample size * probability of success * (1 - p))
σ = √n * p * (1 - p)
σ = √(83 * 0.4 * 0.6)
σ = √19.92
σ = 4.46318
σ = 4.4632
15)
an exterior angle equals the sum of the remote interior angles
<span>so
m<XYT = m<X + m<Z
4x - 25 = x + 15 + 50 - 3x
4x - 25 = -2x + 65
6x = 90
x = 15
answer
x = 15
</span>
Answer:
20.7 ft each
Step-by-step explanation:
See the diagram attached below which describes and represents the information given to us.
The tangents are PA and PB.
Tangents form right angle with the radius of a circle, therefore:
<OBP = <OAP = 90°
Therefore ∆OBP is a right triangle.
m<APO = m<BPO = ½(60) = 30°
Thus, in ∆OBP,
Reference angle = 30°
Side length opposite to reference angle = 12 ft
Adjacent length = length of tangent PB
Apply trigonometric function TOA, to find PB:
Tan 30 = Opp/Adj
Tan 30 = 12/PB
PB × Tan 30 = 12
PB = 12/Tan 30
PB = 20.7846097 ≈ 20.7 ft (nearest tenth)
Length of each segment = 20.7 ft
Answer:-3(
)
Step-by-step explanation:
firstly we should find the common factor between 
, 6x and -9, the common between them is -3
-3()
and () cannot factorize
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