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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Answer:
The measure of angle BED is 78°
Step-by-step explanation:
Hopefully you can see what I did there.
We know that
∠X≈∠B
∠Y≈∠C
∠Z≈∠A
XZ≈BA
XZ=12
BA=9
XY≈BC
XY=14
BC=10.5
ZY≈AC
ZY=16
AC=12
the scale factor=12/16-----> 0.75
therefore
the answer is the option D
Answer:
Step-by-step explanation:
I'm ASSUMING this goes with a photo supplied in another question.
Part E reflection across the x axis leaves the x value identical but negates the y value (x, y) → (x, -y)
Part I translating 6 up and 1 left subtracts one from the x value and adds 6 to the y value (x, y) → (x - 1, y + 6)
Part K Chanel has the correct sequence as following her instructions maps each point on triangle ABC perfectly to triangle DEF
Preston was close but he either needed to rotate about the origin 180° then translate up 6 and left 1, or rotate 180° about the point (-½, -½) and translate up 7.
I think the quickest conversion is to rotate 180° about the point (-½, 3)
Y=2x+4 that’s the equation
