12/9
every friend gets 1 1/3 pounds of pecans
Answer:
The bottom is 11
The median is 12
Step-by-step explanation:
The median is the average of the top and bottom
(13+ 2x-3) /2 = 4x-16
Combine like terms
(10+2x)/2 = 4x-16
Divide by 2
5+x = 4x-16
Subtract x from each side
5+x-x = 4x-16-x
5 = 3x-16
Add 16 to each side
5+16 = 3x-16+16
21 = 3x
Divide by 3
21/3 = 3x/3
7 =x
The bottom is 2x-3 = 2*7-3 = 14-3 = 11
The median is 4x-16 = 4*7-16 = 28 -16 = 12
1. To solve for x, you can see that nearby C and D, the two angles are equal. We can ,therefore, make an equation and solve it:
5x - 29 = 3x + 19
- 3x
2x - 29 = 19
+ 29
2x = 48
÷ 2
x = 24
2. So for this part you would substitute the value of x and then minus that angle from 180:
3 × 24 = 72
72 + 7 = 79°
180 - 79 = 101° = ∠1
3. 180 = 101 = 79° = ∠2
4. 180 - 79 = 101° = ∠3
5. Angle 4 is equal to angle 3 because there is an alternate angle (z angle) so 101° = ∠4
6. 180 - 101 = 79° = ∠5
7. 180 - 101 = 79° = ∠6
8. To find angle 7, you have to substitute in x again, so:
5 × 24 = 120
120 - 29 = 91
180 - 91 = 89° = ∠7
9. Angle 8 is the same as angle 7 because they are opposite angles, so 89° = ∠8
10. Angles 2 and 3 are supplementary, which means they add up to 180°.
I hope this helps! :)
Biased estimators are Sample median & sample standard deviation
Unbiased are sample mean sample variance and sample proportion
Neither choice include population mean, standard deviation proportion and variance
Step-by-step explanation: