Answer: x = 1/2
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Quadratic function whose zeros are 5 and -7 is x^2+2x-35=0
Step-by-step explanation:
Write a quadratic function h whose zeros are 5 and -7
If 5 and -7 are zeros of quadratic function then:
x=5 and x=-7
or x-5 = 0 and x+7=0
So, Finding quadratic equation:
So, quadratic function whose zeros are 5 and -7 is x^2+2x-35=0
Keywords: Quadratic Function
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Answer:
a) 3/64 = 0.046 (4.6%)
b) 63/64 = 0.9843 (98.43%)
c) 1/64 = 0.015 (1.5%)
d) 1/4 = 0.25 (25%)
Step-by-step explanation:
in order to verify that the f(x) is a probability mass function , then it should comply the requirement that the sum of probabilities over the entire space of x is equal to 1. Then
∑f(x)*Δx = 1
if f(x)=(3/4)(1/4)^x , x = 0, 1, 2, ...
then Δx=1 and
∑f(x) = (3/4)∑(1/4)^x = (3/4)* [ 1/(1-1/4)] = (3/4)*(4/3) = 1
then f represents a probability mass function
a) P(X = 2)= f(x=2) = (3/4)(1/4)^2 = 3/64 = 0.046 (4.6%)
b) P(X ≤ 2) = ∑f(x) = f(x=0)+ f(x=1) + f(x=2) = (3/4) + (3/4)(1/4) + 3/64 = 63/64 = 0.9843 (98.43%)
c) P(X > 2)= 1- P(X ≤ 2) = 1 - 63/64 = 1/64 = 0.015 (1.5%)
d) P(X ≥ 1) = 1 - P(X < 1) = 1 - f(x=0) = 1- 3/4 = 1/4 = 0.25 (25%)
Answer:
D
Step-by-step explanation:
Answer:
The value of x is 20°
Step-by-step explanation:
Given that angle in a straight line is 180°. Then you can find the value of x:
55° + (6x+5)° = 180°
55° + 6x + 5° = 180
6x + 60° = 180°
6x = 180 - 60
6x = 120°
x = 20°
