The distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
<h3>Probability</h3>
a. Distribution
X ~ N (20 , 6)
b. P(x ≤24)
= P[(x - μ ) / σ (24 - 20) / 6]
= P(z ≤0.67)
= 0.74857
=0.7486
Hence:
Probability = 0.7486
c. P(21 < x < 26)
= P[(21 - 26)/ 6) < (x - μ ) / σ < (24 - 20) / 6) ]
= P(-0.83 < z < 0.67)
= P(z < 0.67) - P(z < -0.)
= 0.74857- 0.2033
= 0.54527
Hence:
Probability =0.54527
d. Using standard normal table ,
P(Z < z) = 66%
P(Z < 0.50) = 0.66
z = 0.50
Using z-score formula,
x = z× σ + μ
x = 0.50 × 6 + 20 = 23
23 Christmas cards
Therefore the distribution of X is X ~ N (20 , 6) and the probability that this American will receive no more than 24 Christmas cards this year is 0.7486.
Learn more about probability here:brainly.com/question/24756209
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I am pretty sure you mistyped the rule.
The rule (x + 7, y - 3) moves the original coordinate right 7 units and down 3 units
Answer:
Part 1) 
Part 2) 
Step-by-step explanation:
Part 1) Find the value of f(-3)
we have
we know that
f(-3) is the value of the function f(x) for x=-3
so
substitute the value of x=-3 in the function to find f(-3)
Part 2) Find the value of g(3)
we have
we know that
g(3) is the value of the function g(x) for x=3
so
substitute the value of x=3 in the function to find g(3)
To find the slope between two coordinates, you use the formula:
m = y2 - y1/x2 - x1
If coordinate A is (-2, 5) and coordinate B is (3, -4), then:
y2 = -4
y1 = 5
x2 = 3
x1 = -2
So, just substitute the points into the formula.
m = -4 - 5/3 - (-2)
m = -9/5
The slope of the line is -9/5.
area = Pi*r^2
= Pi*10^2
=100Pi
=314.1592654
circumference = Pi*Diameter
= Pi*20
=20Pi
=62.83185307
