Answer:
52 cards:
26 red and 26 black
P(R) = probability of picking a red card
P(B) = probability of picking a black card
P(R) = P(B) = ¹/₂
If with replacement:
P(R∩B) = (¹/₂)(¹/₂) = ¹/₄
If without replacement:
P(R∩B) = (¹/₂)(²⁶/₅₁) = ¹³/₅₁
8 Balls:
3 red and 5 white
P(R) = probability of picking a red ball
P(W) = probability of picking a white ball
P(R) = ³/₈
P(W) = ⁵/₈
If with replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₈) + (⁵/₈)(³/₈)
= ¹⁵/₆₄ + ¹⁵/₆₄
= ³⁰/₆₄
= ¹⁵/₃₂
If without replacement:
P(R∩W) ∪ P(W∩R) = (³/₈)(⁵/₇) + (⁵/₈)(³/₇)
= ¹⁵/₄₂ + ¹⁵/₄₂
= ³⁰/₄₂
= ⁵/₇
Answer:
mean=134.3
median=65.5
mode=60
Step-by-step explanation:
Mean is computing by adding the all data values and then divided by number of values
mean=sum of all values/number of values
There are 20 data values.
mean=(88+50+66+60+360+55+500+71+41+350+60+50+250+45+45+125+235+65+60+110)/20
mean=2686/20
mean=134.3
For calculating median we arrange the data in ascending order
41 45 45 50 50 55 60 60 60 65 66 71 88 110 125 235 250 350 360 500
n/2=20/2=10 is an integer
So, the median is the average of n/2 and (n/2)+1 value
The median is average of 10th and 11th value
median=(65+66)/2
median=65.5
Mode is the most repeated value and we see that number of times the values are repeated are
45= 2 times
50= 2 times
60= 3 times
Thus, the most repeated value is 60 and it is the mode of data.
Mode=60
Answer:
A
Step-by-step explanation:
16 × 2 = 32
20 × 2 = 40
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In the ratio, the numbers are 2 for the shortest side, 3 for the middle sized side, and 4 for the longest side.
2 is to 6 cm as 4 is to x
2/6 = 4/x
2x = 4 * 6
2x = 24
x = 12
Answer: The longest side measures 12 cm.
