(A)
P(<em>X</em> < 61.25) = P((<em>X</em> - 55.4)/4.1 < (61.25 - 55.4)/4.1)
… ≈ P(<em>Z</em> ≤ 0.1427)
… ≈ 0.5567
(B)
P(<em>X</em> > 46.5) = P((<em>X</em> - 55.4)/4.1 > (46.5 - 55.4)/4.1)
… ≈ P(<em>Z</em> > -2.1707)
… ≈ 1 - P(<em>Z</em> ≤ -2.1707)
… ≈ 0.9850
The function's input value is 2.
f(x) = 2x² + 3x + 5
f(x) = 2(2)² + 3(2) + 5
f(x) = 2(4) + 6 + 5
f(x) = 8 + 11
f(x) = 19
Answer:
2x
Step-by-step explanation:
x*1 is x
x/1 is also x
x+x=2x
Let the two numbers be x and y.
Given,
x + y = 23
x = 23 - y
Also given,
y = 2x - 1
y= 2(23 -y) -1
y = 46 - 2y - 1
3y = 45
y = 15
x = 23 - y = 23 - 15 = 8
Hence, the two numbers are 15 and 8.
Answer:
0.25
Step-by-step explanaition:
The z-score represents how many deviations a value is from the mean. When the bar measures 3.25, the z-score is +1. When the bar measures 3.50, the z-score is +2. You'll notice that whenever the bar size increases by 0.25, the z-score goes up +1. So, the standard deviation from the mean must be 0.25.
