Step 1:
Write what you know
Madeline's Height: 6 ft
Madeline's Shadow: 108 in
Friend's Height: X (we use X as a variable because his height is unknown)
Friend's Shadow: 108 in - 1.5 ft
108 in - 18 in
90 in
Step 2:
Set up proportions
6 x
----- = -----
108 90
Step 3:
Cross Multiply & Solve
108x = 540
x = 5 ft tall
Answer:
Independent
Step-by-step explanation:
Barbie selecting a coin and putting it back in has no effect on Darren selecting a coin from the jar, as the numbers of each coin never changed. So, both events are independent with neither relying on the other.
Answer:
D 7
Step-by-step explanation:
Total no. of bulb= 5
no. of defected bulb= 3
no. of not defected bulb=2
Total no. of bulb combination = 5C2
=5!/2!(5-2)!
= 5!/2!3!
= 5×4×3×2×1/2×1×3×2×1
=120/12
=10
( since a room can be lighted with one bulb also)
total no. of bulb combination when room shall not light = 3C2
3!/2!(3-2)!
= 3!/2! 1!
= 3×2×1/2×1×1
= 6/2
=3
Now,
Total no. of trial when room shall light
=10-3
=7
Hence, number of trial when the room shall be lighted is 7 which is option d
Answer:
56-39= 17
Step-by-step explanation:
Answer:
Kindly check explanation
Step-by-step explanation:
Calculate the 25th, 50th, and 75th percentiles.
b. Calculate the interquartile range.
c. Construct a boxplot. Are there any outliers?
Reordered data:
25, 40, 52, 55, 60, 70, 70, 72, 74, 75, 75, 80, 80, 85, 85, 86, 87, 90, 92, 99
25 th percentile :
1/4 (n + 1)th, tetm
n = 20
1/4(21) = 5.25th term
(5 + 6) th term / 2
= 65
50th percentile :
1/2 (n + 1)th, tetm
n = 20
1/2(21) = 10.5th term
(10 + 11) th term / 2
= 75
75th percentile:
3/4 (n + 1)th, tetm
n = 20
3/4(21) = 15.75th term
(15 + 16) th term / 2
= 85.5
Interquartile range :
Q3 - Q1
75th percentile - 25th percentile
85.5 - 65
= 20.5
25 is an Outlier