Answer:
-16/3 =x
Step-by-step explanation:
3(x-2)+4x=10(x+1)
Distribute
3x -6 +4x = 10x +10
Combine like terms
7x -6 = 10x+10
Subtract 7x from each side
7x-6-7x = 10x-7x +10
-6 = 3x+10
Subtract 10 from each side
-6-10 = 3x+10-10
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 =x
Answer:
95% confidence interval for the population variance is (2.89, 5.11)
Step-by-step explanation:
Confidence Interval (CI) = variance + or - (t×s)/√n
Standard deviation (s) = 2, variance (s^2) = 2^2 = 4, n = 15, degree of freedom = n - 1 = 15 - 1 = 14
t-value corresponding to 14 degrees of freedom and 95% confidence interval is 2.145
Lower bound = variance - (t×s)/√n = 4 - (2.145×2)/√15 = 4 - 1.11 = 2.89
Upper bound = variance + (t×s)/√n = 4 + (2.145×2)/√15 = 4 + 1.11 = 5.11
95% confidence interval is (2.89, 5.11)
Answer:
A and B
Step-by-step explanation:
Each side in Chloe's triangle is 1.5 times the length of each side in Juan's triangle. Thus, they are 'similar' by the <u>math </u>definition of that word, by the SSS Rule for Similar Triangles.
That means they are different only in size. So, their angle measures are the same and they are the same shape.
A and B are true.
C is never true, because the sum of all 3 angles in a triangle is always 180°.
D is not true, because they are similar.
Answer:
Step-by-step explanation:
Let numbers be x and y
<u>Then we have equations:</u>
<u>Comparing</u>
- 4y = y + 87
- 4y - y = 87
- 3y = 87
- y = 87/3
- y = 29
<u>Then, the larger number is</u>