If you mean greatest common factor then that means
factor each and group the ones that are same
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
so we look for the group common to all (I bolded it)
81=3 times 3 times 3 times 3
108=2 times 2 times 3 times 3 times 3
117=3 times 3 times 13
the answeis 3 times 3=9
greates common denomenator of these nubers is 9
Answer:
see below
Step-by-step explanation:
1. 2+5x=4x+7
5x-4x=7-2
x=5
2. 4x-5=1+3x
4x-3x=1+5
x=6
3. 8-5x-4=-6x+6
-5x+6x=6-8+4
x=2
4. 4x+8+2x=5x-1
6x-5x=-1-8
x= -9
Answer:
This graph would start at (0, 2) and go straight through the point (2, 5).
Step-by-step explanation:
When graphing equations in slope-intercept form, always start at (0, ?) in which the ? is the constant at the end of the equation. In this case, that number would be 2.
Then when we have a fraction for a slope, we can add the top number to the y value and the bottom number to the x number.
(0, 2)
(0+2, 2+3)
(2, 5)
Answer:
We accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.
Step-by-step explanation:
We have,
x = 1334
n = 1334 + 5663 = 6997
we have to:
p = x / n = 1334/6997 = 0.1907
The hypothesis is:
H0: P = 0.20
H1: P <0.20
P = 0.2 and Q = 1 - P = 0.8
the test statistic is:
Z = (p - P) / [(P * Q / n) ^ (1/2)]
replacing:
Z = (0.1907 - 0.20) / [(0.2 * 0.8 / 6997) ^ (1/2)]
Z = -1.96
now, the p-value is
P = 0.0250, from normal table, attached
Here p-value> 0.01, so we accept H0, Therefore we conclude that there is no evidence to support the claim that less than 20% of the pumps are inaccurate.
