The probability that x is between 420 and 460 is 0.25778
The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.
so, the mean would be,
μ = 100 + 150 + 200
μ = 450
and standard deviation would be,
σ = 15+ 20 + 25
σ = 60
We need to find the probability that x is between 420 and 460.
P(420 < x < 460)
= P( 420 - μ < x - μ < 460 - μ)
= P((420 - μ)/σ < (x - μ)/σ < (460 - μ)/σ)
= P((420 - 450)/60 < Z < (460 - 450)/60)
= P (-1/2 < Z < 1/6)
= P(-0.5<x<0.167)
= 0.25778
Therefore, the probability is P(420 < x < 460) = 0.25778
Learn more about the probability here:
brainly.com/question/11234923
#SPJ4
Answer:
Number of sent mail = 36
Number of received mail = 75
Step-by-step explanation:
Let,
x be the number of mails sent
y be the number of mails received
According to given statement;
x + y = 111 Eqn 1
y = 2x + 3 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
x + 2x + 3 = 111
3x = 111 - 3
3x = 108
Dividing both sides by 3
Putting x = 36 in Eqn 2
y = 2(36) + 3
y = 72 + 3 = 75
Hence,
Number of sent mail = 36
Number of received mail = 75
Answer:
Jamarion can run 4 miles in 30 minutes
What is the speed in miles per hour?
Answer:
4/3
Step-by-step explanation:
TanC = opposite/adjacent
TanC = 40/30 ➡ 4/3
