Answer:
The interquartile range is the difference between the highest and lowest values in the middle of a data set.
Step-by-step explanation:
The range is the difference between the maximum and minimum value, hence, it cannot be greater than the maximum value, which is the greatest value in a dataset, the highest value a range could have being equal to the maximum value when the minimum vlaue of the dataset is equal to 0.
The mean is the average value of a dataset, hence, it cannot be greater than the maximum value.
The interquartile range is the middle 50% or half of a dataset and not the difference between the highest and lowest middle values in the middle. It is obtained by taking the difference of the upper and lower QUARTILE.
Answer:
A: 6, 12, 18, 24, 30
10, 20, 30, 40
B: 30
C: 5/6= 25/30 and 7/10= 21/30
D: 25/30>21/30 so 5/6>7/10
Answer: Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
Step-by-step explanation:
If the ratio is 8 to 2 then 8/10 will be the probability of Mike buying fist and 2/10 will be the probability of Millie buying fish.
Now multiply each fraction by the total number of pounds to find how many pounds each bought.
8/10 * 150 = 1200/10 = 120
2/10 * 150 = 300/10 = 30
In this case, Mike bought 120 pounds of fish and Millie bought 30 pounds of fish.
sin^2 x + 4 sinx +3 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
factor the numerator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
cos^2 x 1 - sinx
cos^2 = 1-sin^2x
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
1- sin^2x 1 - sinx
factor the denominator
(sinx +3) (sinx+1) 3 + sinx
-------------------------- = -------------------
(1-sinx ) (1+sinx) 1 - sinx
cancel the common term (1+sinx) and (sinx +1)
(sinx +3) 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
reorder the first term
3+sinx 3 + sinx
-------------------------- = -------------------
(1-sinx ) 1 - sinx
A, B, D
A: because there are two colour types in a deck of cards, so it’s 1/2 probability of getting a black one.
B: because there a four suits in a deck of cards, so the probability of getting a diamond is 1/4
D: because when calculating compound events we multiply the two probabilities,
so 1/2 x 1/4 = 1/8
