Answer:
Daniel must tutor 160 hours
Explanation:
310+275+70= 655
655×6= 3930 (he needs this amount of $)
(Daniel gains $20 per hour)
20×160= 3200
3200+745= 3945
3945 > 3930
Daniel has enough for the trip.
Where did I get 160?
Well, I was just trying out numbers and multiplying it by 20
The numbers I tried: 100, 150, 156, 159 & 160 but only 160 fit with the answer.
If it was just one night road trip he would've just needed $655, but since it's a 6-night road trip I multiplied it by 6.
Hope this helped!
Point A is exactly in the middle...it is halfway between 0 and 1...so it is 1/2 or 0.5
Insert the point, (5,-2) with the slope of the line to figure out the equation. You can either use point-slope form, or plug it for for slope-intercept form.
Slope-intercept form:
-2 = -2(5) + b
-2 = -10 + b
Add 10 on both sides
8 = b
Thus,
y = -2x + 8
Answer is B
X-y=-1
x+y=5
y=x+1
x+x+1=5
2x+1=5
2x=4
x=2
y=x+1
y=2+1
y=3
The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.
Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.
So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ
That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)
Answer: 264.22 to 312.98
