Answer:
56
Step-by-step explanation:
The thing to realize is that the total of both angles that have x in them is that they add to 145. That's given.
<LKM + <MKN = 145
2x + 10 + 4x - 3 = 145 Combine like terms
6x + 7 = 145 Subtract 7 from both sides
6x = 138 Divide by 6
x = 138/6
x = 23
That's not the answer.
2x + 10 = <LKM
2*23 + 10 = <LKM
46 + 10 = <LKM
56 = <LKM
So if they all add 4 hours to their time then they have:
Jeff 9
Mark 14
Karen 9
Costas 13
Brett 11
Nikki 9
Jack 11
so now to find the mean you add all the numbers together to get 76 and then you divide it by the number of people (7 people) so 76 divided by 7 equals 10.8571429 and that's the mean.
Now to find the median you put all the numbers in order from least to greatest: 9;9;9;11;11;13;14 and you take the number in the middle but since both 11 and 11 are in the middle you take the mean of them and the mean of them is 11 so the median of the numbers is 11
now to find the range you take the largest number (14) and you subtract the smallest number (9) so 14 - 9 is 5 so 5 is the range
and last the mode is the number that is repeated most out of all the numbers so the mode would be 9
9514 1404 393
Answer:
C) No, Kayla is not correct, because the remainder is -49 not 149
Step-by-step explanation:
The remainder from division by x+5 can be found by evaluating the polynomial at x=-5, the value of x that makes the divisor zero.
Evaluation is often easier when the function is written in Horner form.
((x +2)x -4)x +6
For x=-5, this is ...
((-5 +2)(-5) -4)(-5) +6 = (-3(-5) -4)(-5) +6 = 11(-5) +6 = -49
Kayla is not correct; the remainder is -49.
Answer: 100 3 digit even number that begin with either 5 or 6
Explanation:
Case 1:
A 3 digit that begin with 5 should be 500-599 so there are 100 numbers
But we are only finding even number
So 100/2 = 50 3-digit even number that begin with 5.
Case 2:
A 3 digit that begin 6 should have
600-699 and there are also 100 number including even and odd in total. Since we are only finding even number we get:
100/2 = 50 3-digit even number that begin with 6.
Plus both case together we get 50 3-digit even number that begin with 5 + 50 3-digit even number that begin with 6= 50 + 50 = 100
divide by three on both.7/9