Answer:
Probability that effect is real = 0.97
Step-by-step explanation:
Given data :
ratio of true to false = 0.7
Alpha level = 0.05
power of study = 0.8
<u>Determine the probability that this effect is real </u>
From the question we can deduce : 70% of events are real , 30% of events are not real
% of real effect = 0.8 * 70% = 56%
% of false effect = alpha level * percentage of unreal events
= 0.05 * 30% = 1.5%
summation of effects = 56 + 1.5 = 57.5%
Hence probability that the effect is real
= 56% / 57.5%
= 0.9739 ≈ 0.97
Answer and Step-by-step explanation:
If my calculations are correct,
A. 17b = w
B. 867 = w
C. 3 bottles for 51 fluid ounces of water
For B and C, just plug in the values.
For A, it was 17 ounces for every bottle (b), so that's why it is multiplied together. This is then equal to w, the total volume of water in fluid ounces.
Answer:
x = -2
Step-by-step explanation:
distribute
isolate variable (subtract 3x from both sides and 4 from both sides)
divide both sides by 5 to get x
x = -10/5 = -2
Answer:
=
=
=
=
=15
Step-by-step explanation:
Answer:
81π for the x axis.
Step-by-step explanation:
STEP ONE: Determine the intersection.
we are given from the question that y = x^2 and y = 6x − x^2. Therefore if y = x^2, then we will have;
x^2 = 6x - x^2 ---------------------------------------------------------------------------------[1].
Solving and factorizing the equation [1] above give us x = 0 and x = 3 (that is x[6 -2x] = 0 ). Therefore, the point of intersection = (0,0) and (3,9).
<u>STEP TWO</u><em>: </em>Determine the value for the cross sectional area.
The cross sectional area= [6x - x^2]π - [x2]^2 π. --------------[2].
The cross sectional area = -12 π[x -3]x^2.
<u>STEP THREE:</u> integrate the cross sectional area taking x =3 and x =0 as the upper and lower integration limits or boundaries with respect to dx to determine the vome in the x axis.
<h3>volume =∫-12 π[x -3]x^2 dx.</h3><h3 /><h3>volume = -12 π[ (3)^4/4 - (3)^3 ] = 81π.</h3>
volume, v with respect to the x axis = 81π
