Answer: The correct mean is 161.
Step-by-step explanation: The question states that we have computed the mean of 40 observations and the mean is 160. This means the set of data altogether is 40 numbers. In order to arrive at the mean, we must have added all 40 observed data to get the summation of observed data and divided this by 40. In other words, we must have done something like,
Mean = {Summation} x/{x}
Where x = 40 and the mean computed is 160.
Therefore,
160 = {summation}x/40
By cross multiplication we now have
160 (40) = {summation} x
6400 = {summation}x.
However, we must not forget that one of the values in the observed data was wrongly copied as 125, (instead of 165). What this means is that the summation of all observed data is having a shortage of 40 (that is, 165 - 125). If we now insert the correct figure of 165 in place of the wrong one which is 125, our summation of observed data would now become 6440 (the shortage of 40 would have been added back to 6400).
What we now have is
Mean = {summation}x/x
Mean = 6440/40
Mean = 161
Answer: the diameter of the circle is 226 cm
Step-by-step explanation:
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Length of arc = 88π
θ = 140 degrees
Therefore,
88π = 140/360 × 2 × π × r
88π = 140/360 × 2 × π × r
Dividing both sides of the equation by π, it becomes
88 = 140/360 × 2r
88 × 360 = 140 × 2r = 280r
280r = 31680
r = 31680/280
r = 113 cm
Diameter = radius × 2
Diameter = 113 × 2 = 226 cm
Answer:
the answer is 150 minutes or 2 hours and 30 minutes
Answer:
y/7 >/ -19
That middle sign is the greater than or equal to sign (couldn't find on keyboard)
Step-by-step explanation:
y divided by 7 is greater than or equal to -19
Quotient means divided by.
Answer:
Step-by-step explanation:
1.) 5
2.) 32
3.) 14
4.) 16
It's the associative property. One way to remember the associative property is that the numbers don't change, but the location of the numbers change.