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.
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8/28=4/14=2/7
2/7 is simplest form
Not 100% sure but hopefully this helps
Answer:
-20
-20
-10
Step-by-step explanation:
The graph shows that going from home to work was 20km according to the prompt and it took an hour. The two hours he was stuck in traffic was from 5-7pm and he was moving at 10km an hour again, from the graph. (I'm sorry if this isnt the best explanation, I'm better at getting an answer than explaining it).
Answer:

Step-by-step explanation:
A quadratic function has the formula ax² + bx + c
- To determine if a graph will be narrow or wide, the leading coefficient, a, will be the factor that determines this
- The greater the coefficient, the narrower the parabola
- The lesser the coefficient, the wider the parabola
Here all of the functions are in the form ax²
- In
, our "a" term is 
- In y = -2x², our "a" term is -2
- In y = -3x², our "a" term is -3
- In
, our "a" term is
We can eliminate the two functions with the negative coefficients because they are much smaller than the two functions with the fractions as coefficients, and will therefore open much wider.
We can now compare the two remaining functions,
and
- Giving the two fractions common denominators would turn them into
and
- The equation with the larger fraction will be the parabola that is the narrowest. In this case, it is the
. - Therefore,
will have the narrowest graph
Answer:
B) less than 14 centimeters
Step-by-step explanation:
Given:
Length of 1 segment of triangle = 6 cm
Length of the 2 segment of the triangle = 8 cm
Angle between those 2 segments = 80°
We need to find the length of the 3 segment of the triangle.
Solution:
Now we know that;
By Triangle Inequality theorem which states that;
"The sum of the two side of the triangle must be greater than the third side of the triangle."
i.e The length of the third side should be lest than the sum of the other two sides.
Length of the third side 
Length of the third side 
Hence The length of the third side should be less than 14 cm.