4% year compounded quarterly for 8 years
i = 0,04
4
=0.01
n= 8x4=32
The amount of Plutonium, in grams, is modeled by A = 500(where = number of years.
a) What is the initial amount of Plutonium?
A = 800(2)°
= 800
the mitial amount is 800g.
Which of the following is not a measure of central tendency?
A) Mean
B) Median
C) Mode
D) Range
D) Range
Explanation: Range is a measure of spread, not central tendency.
A bag contains 3 red, 2 blue, and 5 green marbles. What is the probability of randomly selecting a blue marble?
A) 1/5
B) 2/10
C) 1/2
D) 3/10
Answer: A) 1/5
Explanation: 2 blue marbles out of 10 total → 2/10 = 1/5
24% year compounded monthly for 3 years
i= 0.24
n = 3x12
12
= 36
= 0.02
How many grams of Plutonium remain after 3 years?
A = 800(2)
= 100
after 3 years therare 100g.
What is the mean of the following data set?
5, 7, 9, 10, 14
A) 8
B) 9
C) 9.5
D) 10
Answer: B) 9
Explanation: (5 + 7 + 9 + 10 + 14) ÷ 5 = 45 ÷ 5 = 9
What is the probability of rolling an even number on a standard 6-sided die?
A) 1/3
B) 1/2
C) 2/3
D) 1/6
Answer: B) 1/2
Explanation: Even numbers are 2, 4, 6 → 3 out of 6 → 3/6 = 1/2
Sasha invested $4000 into an account that earned 4% interest per year.
a) How
uch money will Sasha have in 35 years?
ALFV = P(1+ i)n
= 4000 (|+ 0.04)3
= 15784.36
•Sasha would $15784.36in 35 years .
The half-life of a certain radioactive element is 500 years. If you bury 100 g of this element in your back yard,
a) determine an equation thy will calculate the anont of kell an ume passes.
A = a(2
2A=100())
The median of the following data set is:
12, 15, 10, 8, 20
A) 10
B) 12
C) 15
D) 20
Answer: B) 12
Explanation: Ordered: 8, 10, 12, 15, 20 → Middle value is 12
You flip a coin and roll a die. What is the probability of getting heads and a 6?
A) 1/12
B) 1/6
C) 1/2
D) 1/3
Answer: A) 1/12
Explanation: Probability of heads = 1/2, probability of 6 = 1/6 → (1/2)(1/6) = 1/12
Sasna investea 34000 1ht anraccounttateamet 4% inerest per year
a) How much money will Sasha have in 35 years?
DEFV = P(|+i)^
= 4000 (|+ 0.04)
= 15/84.36
: Sasha would $15784.36 in 35 grars.
bi using the equation in part a, determine the amount left after 1000 years
1000
A - 100 (2)
500
= 100 (2)
Unit 5 Review
=100(+)
= 25
there are 25 g
left after loso years.
Which type of graph is best used to show frequency of data?
A) Line graph
B) Scatter plot
C) Histogram
D) Pie chart
Answer: C) Histogram
Explanation: Histograms show frequency distributions for continuous data
A card is drawn from a standard 52-card deck. What is the probability it is a heart?
A) 1/4
B) 1/2
C) 1/13
D) 1/26
Answer: A) 1/4
Explanation: There are 13 hearts out of 52 cards → 13/52 = 1/4
How much interest has been earned at that time?
I= A-P
=15784.36-4000
=11784.36
: #11784.36 in interest has been earned.
Write as a single power, then evaluate if possible.
(Y5)(y3)
5 + 3
= y
8
= y
310 ÷ 37
10 -)
= 3
= 3°
= 27
f the data is skewed to the right, which measure of central tendency is usually the largest?
A) Mean
B) Median
C) Mode
D) They are all equal
Answer: A) Mean
Explanation: Right-skewed data has a long tail to the right; the mean is pulled in that direction.
Two coins are flipped. What is the probability of getting at least one tail?
A) 1/4
B) 1/2
C) 3/4
D) 1
Answer: C) 3/4
Explanation: Outcomes: HH, HT, TH, TT → 3 have at least one tail