SAT Math
The function f is defined by f(x) = 8x. For what value of x does f(x) = 72?
The function f is defined by f(x) = 8x. For what value of x does f(x) = 72?
9
In triangle ABC, AB = 4,680mm, and BC = 4,680mm. Which statement is sufficient to prove that triangle ABC is equilateral?
i) AC = 4,680mm
ii) AC = 468mm
iii) AC = 46.8mm
iv) AC = 4.68mm
In triangle ABC, AB = 4,680mm, and BC = 4,680mm. Which statement is sufficient to prove that triangle ABC is equilateral?
i) AC = 4,680mm
6x - 9y > 12
Which of the following inequalities is equivalent to the inequality above?
A) x-y > 2
B) 2x - 3y > 4
C) 3x - 2y > 4
D) 3y - 2x > 2
6x - 9y > 12
Which of the following inequalities is equivalent to the inequality above?
A) x-y > 2
B) 2x - 3y > 4
C) 3x - 2y > 4
D) 3y - 2x > 2
Which US state am I from?
Which US state am I from?
North Dakota
DOFS & SOCS (SOCV)
2-variable quantitative data: Direction, Outliers, Form, Strength
Distribution of 1-variable quantitative data: Shape, Outliers, Center, Spread/Variability
A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
A cargo helicopter delivers only 100-pound packages and 120-pound packages. For each delivery trip, the helicopter must carry at least 10 packages, and the total weight of the packages can be at most 1,100 pounds. What is the maximum number of 120-pound packages that the helicopter can carry per trip?
5
In a right triangle, the measure of one of the acute angles is 51 degrees. What is the measure, in degrees, of the other acute angle?
In a right triangle, the measure of one of the acute angles is 51 degrees. What is the measure, in degrees, of the other acute angle?
39
y = x + 1
y = x2 + 1
If (x, y) is a solution to the system of equations above, which of the following could be the value of x?
A) -2
B) 0
C) 2
D) 3
y = x + 1
y = x2 + 1
If (x, y) is a solution to the system of equations above, which of the following could be the value of x?
A) -2
B) 0
C) 2
D) 3
Which country is the last alphabetically?
Which country is the last alphabetically?
Zimbabwe
If we want to use the Normal Distribution to approximate the Binomial Distribution, what must be true?
If we want to use the Normal Distribution to approximate the Binomial Distribution, what must be true?
np ≥ 10 & n(1-p) ≥ 1
(Large Counts condition)
Line k is defined by y = -17x/3 + 5. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?
Line k is defined by y = -17x/3 + 5. Line j is perpendicular to line k in the xy-plane. What is the slope of line j?
3/17 (or 0.1764)
A right circular cylinder has a volume of 432 cubic cm. The area of the base of the cylinder is 24 square cm. What is the height, in cm, of the cylinder?
A right circular cylinder has a volume of 432 cubic cm. The area of the base of the cylinder is 24 square cm. What is the height, in cm, of the cylinder?
18
4a2 + 20ab + 25b2
Which of the following is a factor of the polynomial above?
A) (a+b)
B) (2a + 5b)
C) (4a + 5b)
D) (4a + 25b)
4a2 + 20ab + 25b2
Which of the following is a factor of the polynomial above?
A) (a+b)
B) (2a + 5b)
C) (4a + 5b)
D) (4a + 25b)
4 US states begin with the letter A - name them
4 US states begin with the letter A - name them
Alabama
Alaska
Arizona
Arkansas
A random sample of size 16 is to be taken from a normal population having mean of 100 and variance 4. What is the 90th percentile of the distribution of x-bar?
A random sample of size 16 is to be taken from a normal population having mean of 100 and variance 4. What is the 90th percentile of the distribution of x-bar?
SE = SD/sqrt(N) = 2/4 = 0.5
invNorm(0.9, 100, 0.5) = 1.28 (z-score for 90th percentile)
x = 100 + 1.28(0.5) = 100.64
-x + y = -3.5
x + 3y = 9.5
If (x, y) satisfies the system of equations above, what is the value of y?
-x + y = -3.5
x + 3y = 9.5
If (x, y) satisfies the system of equations above, what is the value of y?
y = 3/2
A cube has a surface area of 54 square meters. What is the volume, in cubic meters, of the cube?
27
f(x) = (-8)(2)x + 22
What is the y-intercept of the graph y = f(x) in the xy-plane?
f(x) = (-8)(2)x + 22
What is the y-intercept of the graph y = f(x) in the xy-plane?
(0, 14)
What year was Batman created?
What year was Batman created?
1939
Which of the following statements is a consequence of the Central Limit Theorem?
I. If the original population is uniformly distributed, then the sampling distribution of x-bar will be uniform for large samples.
II. The sampling distribution of x-bar will be approximately normal for large samples.
III. The mean of the sampling distribution of x-bar will be close to μ for large samples.
Which of the following statements is a consequence of the Central Limit Theorem?
I. If the original population is uniformly distributed, then the sampling distribution of x-bar will be uniform for large samples.
II. The sampling distribution of x-bar will be approximately normal for large samples.
III. The mean of the sampling distribution of x-bar will be close to μ for large samples.
Table:
x: k, k + 7
y: 13, -15
The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k - 5, b), where k and b are constants. What is the value of b?
Table:
x: k, k + 7
y: 13, -15
The table gives the coordinates of two points on a line in the xy-plane. The y-intercept of the line is (k - 5, b), where k and b are constants. What is the value of b?
33
Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?
Circle A has a radius of 3n and circle B has a radius of 129n, where n is a positive constant. The area of circle B is how many times the area of circle A?
1,849
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 3/4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult's daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x?
A) p = 0.5x
B) p = 5x
C) p = 0.05x
D) p = 1.05x
Jennifer bought a box of Crunchy Grain cereal. The nutrition facts on the box state that a serving size of the cereal is 3/4 cup and provides 210 calories, 50 of which are calories from fat. In addition, each serving of the cereal provides 180 milligrams of potassium, which is 5% of the daily allowance for adults. If p percent of an adult's daily allowance of potassium is provided by x servings of Crunchy Grain cereal per day, which of the following expresses p in terms of x?
A) p = 0.5x
B) p = 5x
C) p = 0.05x
D) p = 1.05x
There are two double-landlocked countries in the world. Name one of them.
There are two double-landlocked countries in the world. Name one of them.
Uzbekistan or Liechtenstein
What's the probability of getting dealt a Full House from a 52-card deck? (no jokers)
Full House = 3 cards of the same rank, and 2 cards of the same rank.
What's the probability of getting dealt a Full House from a 52-card deck? (no jokers)
Full House = 3 cards of the same rank, and 2 cards of the same rank.
13*C(4,3)*12*C(4,2) / C(52,5)
(13*4*12*6) / C(52,5) = 3744/2,598,960 = about 14.4%