Answer:
a) probability that the sample will have between 50% and 60% of the identification correct = 0.498
b) The probability is 90% that the sample percentage is contained 45.5% and 54.5% of the population percentage
c) Probability that the sample percentage of correct identifications is greater than 65% = 0.01
Step-by-step explanation:
Sample size, n = 200
Since the brands are equally likely, p = 0.5, q = 0.5
The Standard deviation,
a) probability that the sample will have between 50% and 60% of the identification correct.
Probability that the sample will have between 50% and 60% of the identification correct is 0.498
b) p = 90% = 0.9
Getting the z value using excel:
z = (=NORMSINV(0.9) )
z = 1.281552 = 1.28 ( 2 dp)
Then we can calculate the symmetric limits of the population percentage as follows:
The probability is 90% that the sample percentage is contained 45.5% and 54.5% of the population percentage
c) Probability that the sample percentage of correct identifications is greater than 65%
P(X>0.65) = 1 - P(X<0.65)
Answer:
Slope: 5/4 , y-intercept: -3/2
Step-by-step explanation:
use the formula: y = mx + b, m is the slope, b is the y-intercept
5x + 1 = 4y + 7
-4y = -5x + 6
y = 5/4x - 6/4
y = 5/4x - 3/2
Answer:
PQ = 17
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, thus
TS = TU = 6
VU = VO = 20
PO = PQ = 37 - VO = 37 - 20 = 17
That is PQ = 17
Answer:
(b)
Step-by-step explanation:
Given
Required
The graph
First, make y the subject
Divide through by 3
Let x = 3
Let x = 6
So, we plot the graph through
and
See attachment for graph
Answer:
The volume of the cone is 1526.04 km cubed
Step-by-step explanation:
The equation for a right cone is πr^2 multiplied by h/3. The r equals radius and the h equals 18. So, we get the equation π(9)^2 multiplied by 18/3. When put into a calculator, you get 1526.04. (Remember to use 3.12 NOT π.)