Answer:
-1/8
Step-by-step explanation:
lim x approaches -6 (sqrt( 10-x) -4) / (x+6)
Rationalize
(sqrt( 10-x) -4) (sqrt( 10-x) +4)
------------------- * -------------------
(x+6) (sqrt( 10-x) +4)
We know ( a-b) (a+b) = a^2 -b^2
a= ( sqrt(10-x) b = 4
(10-x) -16
-------------------
(x+6) (sqrt( 10-x) +4)
-6-x
-------------------
(x+6) (sqrt( 10-x) +4)
Factor out -1 from the numerator
-1( x+6)
-------------------
(x+6) (sqrt( 10-x) +4)
Cancel x+6 from the numerator and denominator
-1
-------------------
(sqrt( 10-x) +4)
Now take the limit
lim x approaches -6 -1/ (sqrt( 10-x) +4)
-1/ (sqrt( 10- -6) +4)
-1/ (sqrt(16) +4)
-1 /( 4+4)
-1/8
First we have to find the mean (average)
mean = (564 + 1000 + 848 + 1495 + 1348) / 5 = 5255 / 5 = 1051
now we subtract the mean from every data point, then square it
564 - 1051 = -487......-487^2 = 237169
1000 - 1051 = -51......-51^2 = 2601
848 - 1051 = -203......-203^2 = 41209
1495 - 1051 = 444......444^2 = 197136
1348 - 1051 = 297......297^2 = 88209
now find the mean of the results.....but know when ur dealing with a sample instead of the whole population, u divide by 1 number less...so instead of dividing by 5, u divide by 4.
(237169 + 2601 + 41209 + 197136 + 88209) / 4 = 566324 / 4 =
141581.....this is called ur variance
now take the square root of the variance and u have ur standard deviation
sqrt (141581) = 376.272 rounds to 376.27 <==
Answer:
We have 7 complete teams
Step-by-step explanation:
Here, we have students preparing to make a team of 8 students per team. We now want to know how many complete teams they can make if they are a total of 60;
To get this, we need the multiples of 8;
we have;
8, 16 , 24 , 32, 40 , 48 , 56
So breaking it in 8s, we have;
8 8 8 8 8 8 8
We have 7 8s;
So there would be four left overs
Answer:
D is correct
Step-by-step explanation:
Here, we want to select which of the options is correct.
The correct option is the option D
Since the die is unfair, we expect that the probability of each of the numbers turning up
will not be equal.
However, we should also expect that if we add the chances of all the numbers occurring together, then the total probability should be equal to 1. But this does not work in this case;
In this case, adding all the probabilities together, we have;
1/12 + 1/12 + 1/12 + 1/12 + 1/12 + 1/2
= 5(1/12) + 1/2 = 5/12 + 1/2 = 11/12
11/12 is not equal to 1 and thus the probability distribution cannot be correct
Answer:
Mean: 49
Median: 41
Mode: 45
Range: 70
Step-by-step explanation:
To find the mean: add up all the numbers, then divide by how many numbers there are.
To find the median:
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2. Go to the number in that position and average it with the number in the next higher position to get the median.
To find the mode: The mode of a data set is the number that occurs most frequently in the set.
To find the range: The range is the difference between the smallest and highest numbers in a list or set. To find the range, first put all the numbers in order. Then subtract (take away) the lowest number from the highest.
