Step-by-step explanation:
To divide fractions, we have to focus on 4 steps, which are:
1: Change to improper fractions
2: Keep the same
3: Change the sign to multiplication
4: Flip the 2nd fraction in the equation
So, step one:
1/3 / 4/5
Step two:
1/3 / 4/5
Step three:
1/3 x 4/5
Step four:
1/3 x 4/5 = (4 / 15)
4/15 is in simplist for.
Therefore, your answer is 4/15.
Best of Luck to you!!
Answer:
I believe its the third one
Answer:
32500
Step-by-step explanation:
3.25 x 10^4
3.25 x 10000
Move the decimal point 4 places to the right.
32500
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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Answer:
So 24 hours each month times 12 would be 288 hours of working out of one year.
Hope this helps!
Step-by-step explanation:
