Answer:
Q1. 2 - 5/ 8 - 0 = -3/8
Q2. 1- (-1)/6-2 = 2/4 simplified as 1/2
Q3. (-5)- (-2)/ (-1)- (-3) = -3/2
Use a ruler to help you graph a line whose slope is 1/3. Label this line “a”
*Answer- 1/3 is being shown for rise/run (Rise over Run, 1 being rise and 3 being run). this means that you go up one and right 3.
Step-by-step explanation:
y2-y1 *over* x2- x1. Also if you can simplify the end fraction do it but if not then leav it as it is. This is the equation that I used for the first 3 problems. Also I didnt quit understand the 1st word problem sorry! I hope this helps :v
Answer:
The correct answer is option 'a' : 120 is more than 2.5 standard deviations above the expected value.
Step-by-step explanation:
For an exponential distribution we have
The expected value μ = 80
No of trails n = 200
Thus we have
The deviation is related to expected value and probability as
Thus the values between the given deviation is
Now since 120 successes are out of the range of [62.75,97.25] thus 120 is more than the expected value.
Answer:
C. 7 hours
Step-by-step explanation:
Let the time for the trip out be represented by t. Then the time for the return trip is t-1. The distance was the same for both trips, so we have ...
distance = speed × time
300t = 350(t -1)
300t = 350t -350 . . . . eliminate parentheses
350 = 50t . . . . . . . . . . add 350-300t
7 = t . . . . . . divide by 50
The trip out took 7 hours.
4/5x + 4/3 = 2x....there are 2 ways to do this...one with fractions, one without.
with :
4/5x + 4/3 = 2x
4/3 = 2x - 4/5x
4/3 = 10/5x - 4/5x
4/3 = 6/5x
4/3 * 5/6 = x
20/18 = x
10/9 = x
without :
4/5x + 4/3 = 2x....multiply by common denominator of 15
12x + 20 = 30x
20 = 30x - 12x
20 = 18x
20/18 = x
10/9 = x
Now, we know that 90°< θ <180°, that simply means the angle θ is in the II quadrant, where sine is positive and cosine is negative.
