Answer:
6
Step-by-step explanation:
20 mins. divided by 4 is 1mi./5 minute
so 1 miles in 5 minute
30 minutes divided by 5 is 6
so 6 miles in 6 minutes
Answer:
(-21,-19)

Standard form
Step-by-step explanation:
We are given the equation of circle

General equation of circle:

Centre: (-g,-f)
Radius: 
Compare the equation to find f, g and c from the equation



Centre: (-21,-19)
Radius (r) 
Standard form of circle:

The centre of circle at the point (-21,-19) and its radius is
.
The general form of the equation of a circle that has the same radius as the above circle is standard form.
Answer:
q1=11
q3= 33
Step-by-step explanation:
The data set has 44 number of students. The first quartile is 25 % of the numbers in the data set . So
25 % of 44 = 25/100 * 44= 0.25 *44 = 11
So the first quartile lies at 11.
Similarly the third quartile lies at the 75 % of the numbers of the data set . So
75 % of 44 = 75/100 * 44= 0.75 *44 = 33
So the third quartile lies at 33.
Answer:
26
Step-by-step explanation:
Subtract the mean (84) from each of the four scores, obtaining
2, -3, 3, - 2
These are the "deviations."
Next, square each of these four deviations, obtaining
(2)^2 = 4, and:
(-3)^2 = 9, and:
(3)^2 = 9, and:
(-2)^2 = 4
Then the sum of the squared deviations of the scores from the mean is 26.
Answer:
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Explanation:
The figure attached shows the <em>Venn diagram </em>for the given sets.
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<em><u>a) What is the probability that the number chosen is a multiple of 3 given that it is a factor of 24?</u></em>
<em />
From the whole numbers 1 to 15, the multiples of 3 that are factors of 24 are in the intersection of the two sets: 3, 6, and 12.
There are a total of 7 multiples of 24, from 1 to 15.
Then, there are 3 multiples of 3 out of 7 factors of 24, and the probability that the number chosen is a multiple of 3 given that is a factor of 24 is:
<em><u /></em>
<em><u>b) What is the probability that the number chosen is a factor of 24 given that it is a multiple of 3?</u></em>
The factors of 24 that are multiples of 3 are, again, 3, 6, and 12. Thus, 3 numbers.
The multiples of 3 are 3, 6, 9, 12, and 15: 5 numbers.
Then, the probability that the number chosen is a factor of 24 given that is a multiple of 3 is: