Answer: x° is 50°
Step-by-step explanation: The sum of the exterior angles of a polygon is 360.
Add the given exterior angles:
35+50+20+125=230
to find the missing exterior angle, supplementary to x°,
Subtract 360 - 230 = 130
The Sum of Supplementary angles is 180°
x° + 130° = 180°
x = 50
The confidence interval is from 9.81 to 10.19.
We first find the mean of the data:
<span>(9.8+10.2+10.4+9.8+10.0+10.2+9.6)/7 = 10
Next we find the standard deviation:
</span>σ=√([<span>(9.8-10)^2+(10.2-10)^2+(10.4-10)^2+(9.8-10)^2+(10-10)^2+(10.2-10)^2+(9.6-10)^2]/7) = 0.262
The z-score for 95% confidence is found by
1-0.95 = 0.05; 0.05/2 = 0.025; from the z-table, it is 1.96.
The confidence interval is calculated using
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Answer:
C. x > 3
Step-by-step explanation:
As long as you don't multiply or divide by any negative numbers*, <em>you can solve this the same way you would an equation</em>.
3x +2 > x +8
3x > x +6 . . . . . . subtract 2
2x > 6 . . . . . . . . subtract x
x > 3 . . . . . . . . . .divide by 2; matches choice C
_____
* The complete rule is "as long as you don't use any order-changing operations, ...". There are some functions you can apply to both sides of the inequality that will change the ordering. Multiplication or division by a negative number is only one of many.
1 < 2
-1 > -2 . . . . . multiplication by -1 reverses the order
<span>replace Y = 5x - 13
into
4x + 3y = 18
</span>
4x + 3 (5x - 13) = 18
4x + 15 - 39 = 18
4x -24 = 18
4x = 18 +24
4x = 42
x = 42/4
x = 10.5
Y = 5(10.5) - 13
= 52.5 - 13
= 39.5
answer: x = 10.5 and y = 39.5
Bill and Joe have 60 dollars between them. Bill has half as much as Joe.
so Bill = B and Joe = J
20 (B) + 40 (J) = 60
Bill has half the amount of Joe, and so 40/2 = 20
subtract 60 from 20 (the answer for Bill) and you get 40, (the answer for Joe)
hope this helps