Reflection across the x-axis (because there is a negative)
And
Vertical compression (because a is between 0 and 1)
Answer:
Hi there!
The following answers:
3. 7 c > 3 (1/4) pt 4. 5 gal > 18 qt
5. 45 cm = 450 mm 6. 4.5 km < 5000 m
Step-by-step explanation:
There are 2 cups in one pint.
There are 4 quarts in one gallon.
One kilo meter is 1000 meters.
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
#SPJ1
Answer: 3:5
Step-by-step explanation:
33x-54y=6x+6y-3x-10y
33x-54y=3x-4y
30x=50y
3x=5y
You need to see which is more
