Differentiation
4x3 + 7x2 + 2x + 3
12x2 + 14x + x
25x3 - 12x2 + X
25x4/4 - 4x3 + x2/2 +C
Given that 90 out of 200 adults were smokers, find the point estimate for the population proportion of adults who are smokers. Be sure to attach a symbol to it.
What is p-hat = 0.45
log x = 3
1000
Determine if the following function is for a discrete random variable:
f(k)=k/5 for k = -2, -1, 0, 1, 2, 3
-2/5>0
therefore no
e2x/(1+x2)
(1+x2)(2e2x)-2xe2x/(1+x2)2
use derivatives to find an approximation for 4.054
268.8
Find p-hat (proportion of lefties) and q-hat given that 16 out of 130 people were lefties.
What is 0.12 and 0.88
solve for x in 4log9(x+1)-2=0
2
The random variable X is uniformly distributed in the interval 2<x<7
State the pdf of the variable
f(x) = 1/7 for 0<x<7
f(x) = x2ln(2+sin x)
find f'(x)
2xln(2+sinx)+x2(cosx/2+sinx)
∫ (sin x+2)dx from pi to 0
2pi + 2
A recent study of 75 workers found that 53 people rode the bus to work each day. Find the 95% CI for the proportion of all workers of all workers who rode the bus to work.
What is 0.604 < p < 0.810
2(32x)+5(3x)-3=0
Solve for x
- log2/log3
The length of nails manufactured in a factory is normally distributed with a SD of 0.5mm.
Determine the probability that a nail with length no more than 10,, has a length in excess of 9mm
0.95
Find the coordinates of the point on
y=sin2x for 0<x<2pi
where the gradient on the curve is 1
(pi/4, 1/2) and (5pi/4)
Determine the stationary point on the curve and identify it's nature
y=sin(x) - x cos(x) for 0<x<pi
Maximum at (pi, pi)
In a study of 150 accidents that required treatment in an emergency room, 36% involved children under 6 years of age. Find the 90% CI of the true proportion of accidents that involve children under the age of 6. Round final answers to 3 decimal places.
What is 0.296 < p < 0.424?
John's garden has 80 pieces of grass. Two hours later, his garden has 120 pieces of grass. If grass grows at an exponential rate, how much time will it take for John to have 220 pieces of grass?
Around 2.989 hours
On Average 20% of teachers have been treated for depression. Th maths department has 11 staff members.
Find the probability there are exactly 2 staff members who have previously been treated, given that there are no more than 5 of them
0.2988
Given that A = 50(1+t)2e-t for t>0, find the instantaneous rate of change of A with respect to t when t=1
0
Calculate the area between the curves
y=(x-2)2, y=1/(x-2) and the line x=4
[(the first two intersect at (3, 1)]
7/3-ln(2)
You are running a political campaign and wish to estimate, with 98% confidence, the proportion of registered voters who will vote for your candidate. Your estimate must be accurate within 2% of the true population. Find the minimum sample size needed.
3394 registered voters.
the solution for x in the equation
6x-1=31+x
can be written as x=log2A
Determine the value of A
A=18
X is a Binomial variable with parameters n and p = 1/2.
Find in terms of n, P(X>1).
1-(n+1)(1/2)n