Hey there!
To find the range, first put the numbers in order from smallest to largest.
97, 163, 169, 175, 184, 199
Then take the largest number, 199, and subtract the smallest number (in this case, the outlier) which is 97.
199-97=102
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Answer:
The value of x is 17
Step-by-step explanation:
The sum of the angles in a triangles is 180°
From the question:
In ΔVWX,
m∠V=(4x+3) ∘
m∠W=(x+7) ∘
m∠X=(5x+0) ∘ .
Hence:
m∠V + m∠W + m∠V = 180°
4x + 3 + x + 7 + 5x + 0 = 180°
Collect like terms
4x + x + 5x + 3 + 7 + 0 = 180°
10x + 10 = 180°
Subtract 10 from both sides
10x + 10 - 10 = 180° - 10
10x = 170
Divide both sides by 10
10x/10 = 170/10
x = 17
The value of x is 17
Answer:
Male: Median: 64.5 and the mean is 70.6
Female: median: 83 and mean is: 79.93
Step-by-step explanation:
For median, you place all of the numbers from lowest to highest, and then find the number in the middle.
For Mean, add up all the numbers, then divide by the amount of numbers there.
For example.
30/5= 6
Answer: a) 
Step-by-step explanation:
Given : For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a Beverly Hills bank.
Each of the four systems detects theft with a probability of .99 independently of the others .
Probability for independent events
occurs together =
.
Then, the probability that when a theft occurs, all four systems will detect it
= (0.99) x (0.99) x (0.99) x (0.99)

Hence, the probability that when a theft occurs, all four systems will detect it is
.
Hence, the correct answer is a)
.
Answer:
12.5 m in 1 second.
Step-by-step explanation:
400/32=12.5