Step-by-step explanation:
It seems here that they are asking us to solve for x
to do this we first need to factor
Since we can't factor this using the normal method we can instead do this
x^2 -4x-17=0
add 4 to both sides as it is a perfect square
x^2 - 4x + 4 = 17 +4
(x-2)^2 = sqrt 21
x-2 = ± 4.58
x -2 = 4.58 x-2 = -4.58
x= 6.58 x=-2.58
Or just say x=2+√21 or x=2−√21
Answer:
47.4167
D. The computed mean is close to the actual mean because the difference between the means is less than 5%
Step-by-step explanation:
Given the distribution :
Speed(m/hr) ___ midpoint(x) ___ F ___fx
42 - 45 _______ 43.5 ________21 __ 913.5
46 - 49 _______47.5 _________15 __712.5
50 - 53 _______ 51.5 _________6 __ 309
54 - 57 _______ 55.5 ________ 4 ___ 222
58 - 61 ________59.5 ________ 2 ___ 119
The midpoint, x= sum of lower and upper boundary divided by 2
For instance, (42 + 45) / 2 = 43.5
The computed mean, Σfx / Σf = 2276 / 48 = 47.4167
Actual mean = 47.3 miles
(47.4167 - 47.3) / 47.3 * 100% = 0.24%
Step-by-step explanation:
1.
2.
3.
- 485 - 319 = 166 more people
4.
- 14.5x + 80 > 500
- 14.5x > 420
- x > 420/14.5
- x > 29
5.
- 1.25x + 3 ≤ 28
- 1.25x ≤ 25
- x ≤ 25/1.25
- x ≤ 20 miles
6. <em>This seems a typo... 460 is likely $60</em>
- 60x + 145 ≤ 625
- 60x ≤ 625 - 145
- 60x ≤ 480
- x ≤ 480/60
- x ≤ 8 days
25x/45=-65
25x=2925
x=117
I wasn't sure if you wanted a solution