Answer:
5x/2
Step-by-step explanation:
Say the mystery number is "x"
5 times that = 5 * x = 5x
Then the quotient (that means the result of division, so divide!) of that and 2 would give you: 5x/2
ANSWER
The new equation is:

EXPLANATION
The given parabola has equation,

This is the parent function.
When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.
The new equation becomes:

If you flip a coin one time, the probability to get a Head is
p = 1/2
The probability of not getting a head in a single toss is :
q = 1 - 1/2 = 1/2
Thus there is only one unique situation to get the same number of heads and tails : in 10 toss you need to get exactly five heads, it will means that the rest is the tails.
Now using Binomial theorem of probability, the probability of getting exactly x = 5 heads in a total of n = 10 tosses is :
P(X = 5) =
≈ 0.246
So the probability of that is 24,6 %
Good Luck
Answer: True
Step-by-step explanation:
YES, HE TRAVELLED 2 METRES EVERY 5 SECONDS
PROOF:
TOTAL RIDE TIME = 30 SECONDS
Length of elevator = 12 METRES
Distance moved per second can be calculated by = (length of elevator / total ride time)
( 12 METRES / 30 seconds) = 0.4 metres per second
Therefore, distance covered in 5 seconds :
0.4 × 5 = 2 metres.
Hence, the proof
He traveled 2 meters ever 5 seconds
Answer:
The true statements are:
B. Interquartile ranges are not significantly impacted by outliers
C. Lower and upper quartiles are needed to find the interquartile range
E. The data values should be listed in order before trying to find the interquartile range
Step-by-step explanation:
The interquartile range is the difference between the first and third quartiles
Steps to find the interquartile range:
- Put the numbers in order
- Find the median Place parentheses around the numbers before and after the median
- Find Q1 and Q3 which are the medians of the data before and after the median of all data
- Subtract Q1 from Q3 to find the interquartile range
The interquartile range is not sensitive to outliers
Now let us find the true statements
A. Subtract the lowest and highest values to find the interquartile range ⇒ NOT true (<em>because the interquartial range is the difference between the lower and upper quartiles</em>)
B. Interquartile ranges are not significantly impacted by outliers ⇒ True <em>(because it does not depends on the smallest and largest data)</em>
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C. Lower and upper quartiles are needed to find the interquartile range ⇒ True <em>(because IQR = Q3 - Q2)</em>
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D. A small interquartile range means the data is spread far away from the median ⇒ NOT true (<em>because a small interquartile means data is not spread far away from the median</em>)
E. The data values should be listed in order before trying to find the interquartile range ⇒ True <em>(because we can find the interquartial range by finding the values of the upper and lower quartiles)</em>