Answers:
a) k=11
b) k=10
c) k=-3
d) k=4
e) k=1
I do not mind explaining
For the point (3,k) and virtually every point, 3 is the x coordinate and k is the y coordinate. Therefore, we can substitute 3 for x and solve for k (which is y).
a) 3(3)+2=11
b) 4(3)-2=10
c) 3-2(3)=3-6=-3
d) 3+4=7
e) 3-2(1)=1
Answer: 0.16
Step-by-step explanation:
Given that the run times provided are normally distributed ;
Mean(x) of distribution = 3 hours 50 minutes
Standard deviation(s) = 30 minutes
The probability that a randomly selected runner has a time less than or equal to 3 hours 20 minutes
3 hours 20 minutes = (3 hrs 50 mins - 30 mins):
This is equivalent to :
[mean(x) - 1 standard deviation]
z 1 standard deviation within the mean = 0.84
z, 1 standard deviation outside the mean equals:
P(1 - z value , 1standard deviation within the mean)
1 - 0.8413 = 0.1587
= 0.16
Equation of line, form unspecified.
m=-2, point (-1/2,5)
Point-slope form: y-5=-2(x-(-1/2) => y=-2x-1+5 => y=-2x+4
IF -2/5 + -1/4 IS IN PARENTHESES:
skip this part if its not
(1/2) / (-2/5 - 1/4)
(-2/5 - 1/4) is equivalent to (-8/20 - 5/20) = -13/20
substitute -13/20 for (-2/5 - 1/4)
1/2 / -13/20
remember that division is the inverse of multiplication, so if we flip the second fraction, we can change the division sign to multiplication (when doing this, never flip the first fraction, you will not get the right answer)
1/2 * -20/13
simplify -20/2 to get -10
1 * -10/13 = <u>-10/13</u>
IF -2/5 + -1/4 IS NOT IN PARENTHESES:
1/2 / -2/5 +-1/4
PEMDAS : multiplication/division comes before addition / subtraction
1/2 / -2/5 = (apply the flip rule : read the chunk of text above if you don't know what it is) 1/2 * -5/2 = -5/4
subtract 1/4 form -5/4 now
-5/4 - 1/4 = -6/4
simplify
= <u>-3/2</u>