the firt answer is Allison and the second answer is0.34
The value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.
<h3>What is a normal distribution?</h3>
It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
We have a probability distribution shown in the table:
P(2 < X ≤ 4)
We have to find the probability between 2 and 4
P(2 < X ≤ 4) = P(x =3) + P(x = 4)
From the table
P(x =3) = 0.10
P(x = 4) = 0.04
P(2 < X ≤ 4) = 0.10 + 0.04 = 0.14
Thus, the value of the P(2 < X ≤ 4) is 0.14 if the probability of P(x =3) is 0.10 and P(x = 4) is 0.04.
Learn more about the normal distribution here:
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1) 343
7 • 7 • 7 = 343
2) 64
2 • 2 • 2 • 2 • 2 • 2 = 64
3) 256
4 • 4 • 4 • 4 = 256
1) Write this as a ratio...
77.5 miles / 3.1 gallons = x miles / 8.2 gallons
Solve for x... multiply by 8.2 gallons on both sides (that cancels it on the right) side of the equation.
8.2 gallons * 77.5 miles / 3.1 gallons = x
635.5/ 3.1 = x
211.83 miles = x
Justin travels 211.83 miles on 8.2 gallons of gas
2) If we let boys = b, then girls has to be b + 15 (since there are 15 more girls than boys). Now together there are 85 members of the band so... boys + girls = 85 and since girls is b + 15, then...
b + b+15 = 85
Now solve for b. First combine like terms...
2b + 15 = 85
Now subtract 15 from each side (cancels the 15 on the left)
2b + 15 - 15 = 85 - 15
2b = 70
Now divide each side by 2 (cancels 2 on the left)
2b / 2 = 70 / 2
b = 35
So there are 35 boys in the band.
Just FYI, that also means there are 35+15 = 50 girls. Just so happens that 50 + 35 = 85 so our work checks!
