Answer
x=-40
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Answer:
a) 48.21 %
b) 45.99 %
c) 20.88 %
d) 42.07 %
e) 50 %
Note: these values represent differences between z values and the mean
Step-by-step explanation:
The test to carry out is:
Null hypothesis H₀ is μ₀ = 30
The alternative hypothesis m ≠ 30
In which we already have the value of z for each case therefore we look directly the probability in z table and carefully take into account that we had been asked for differences from the mean (0.5)
a) z = 2.1 correspond to 0.9821 but mean value is ubicated at 0.5 then we subtract 0.9821 - 0.5 and get 0.4821 or 48.21 %
b) z = -1.75 P(m) = 0.0401 That implies the probability of m being from that point p to the end of the tail, the difference between this point and the mean so 0.5 - 0.0401 = 0.4599 or 45.99 %
c) z = -.55 P(m) = 0.2912 and this value for same reason as before is 0.5 - 0.2912 = 0.2088 or 20.88 %
d) z = 1.41 P(m) = 0.9207 0.9207 -0.5 0.4207 or 42.07 %
e) z = -5.3 P(m) = 0 meaning there is not such value in z table is too small to compute and difference to mean value will be 0.5
d) z= 1.41 P(m) =
24x = 2,2,2,3,x
18y = 2,3,3,y
52.85 will be 53
9.09 will be 9
Answer:
1st blank: 160(2) - 16(2)²
2nd blank: 256
3rd blank: 5
4th blank: 400
5th blank: 10
Step-by-step explanation:
h(x) = -16x² + 160x
To find h(2) just replace x = 2 into the equation
h(2) = 160(2) - 16(2)² = 256 in
The maximum height coincides with the vertex of the parabola.
x-coordinate of the vertex: -b/(2a) = -160/[2*(-16)] = 5
y-coordinate of the vertex: -16(5)² + 160(5) = 400
To hit the ground means h(x) = 0
-16x² + 160x = 0
16x(-x + 10) = 0
x = 0
or
-x + 10 = 0
x = 10
