Confidence intervals
Differentiation
Integration
Triangles
Logs
MSHS What do you know
100
In a survey of 1035 US adults, 745 say they want to play pickleball regularly. What is p-hat?
0.72
100
Differentiate
f(x)=2e^(3x)
f'(x)=6e^(3x)
100
int7e^(2x)dx
7/2e^(2x)+c
100
In triangle ABC, side a is 36 cm, side b is 48 cm and angle C is 68°. Find the area of the triangle. Answer correct to two decimal places.
801.09 cm^2
100
Solve for x
log_4(16)=x
x=2
100
Name our year 7 Dean of students
Miss Kerr
200
This is added and subtracted from the sample mean in order to construct a confidence interval
Margin of Error
200
Differentiate
f(x)=ln(4x+1)
f'(x)=4/(4x+1)
200
intdx/(2x+1)
ln(2x+1)/2+c
200
DEF is a triangle for which DF = 37 cm, EF = 46 cm and ∠DFE = 44°. Use the cosine rule to find the length of DE, to the nearest millimetre.
322 mm
200
Solve for X
log_2(x)=4
x=16
200
Name our indigenous liaison officer
Robyn Draper
300
In a survey of 2022 US adults, 1167 think antibiotics are effective against viral infections. Find a 95% confidence interval for the population proportion.
(.556, .599)
300
Differentiate f(x) = sinx*cosx
f'(x) = cos2x - sin2x
300
int(sin(x)-cos(x))dx
-cos(x)-sin(x)+c
300
Harry travelled for 8.5 km on a bearing of S30°W from his home. How far west is Harry from home? Answer correct to two decimal places.
4.25 km
300
Solve for x
log_x(25)=2
x=5
300
Name the road out the front of the school
Maroochydore Road
400
If the mean of a sample is 2.3 and the margin of error is 1.5, what is the confidence interval?
(0.8,3.8)
400
Differentiate
sqrt(sin(x)
f'(x)=
cos(x)/(2sqrt(sinx))
400
176
400
Find the length of the longest side of a triangle with angles of 42°, 55° and 83°, given that the length of the shortest side is 8.6 cm. Answer correct to one decimal place.
12.8 cm
400
Solve for X.
log(x)+log(5)=30
x=(10^30)/5
400
Name the room that has a Tardis painted on the door
B11
500
If the margin of error of a sample is 3.45, the sample size is 16, and the critical value for the confidence level is 1.876, then what is sample standard deviation?
7.356
500
Differentiate f(x) = sin3(5x2)
f'(x) = 3(sin(5x2))2 * cos(5x2) * 10x
500
If int_1^3f(x)=4 and int_3^6f(x)=12, then int_1^6f(x)=?
16
500
A triangle has an angle of 129°56′with one arm of this angle 15 cm long. What is the length of the other arm of this angle if the area of the triangle is 69.94 cm2? Answer correct to the nearest centimetre.
12 cm
500
Solve for X.
log(x)+log(x-2)=35
x = 7
500
What year was the school founded?
1964