Letters that can stand for numbers. When we substitute a specific value for each variable and then perform the operation, it's called evaluating the expression
For Example: Let's evaluate the expression
3y + 2y when 5 = y.
Answer:
0.02566
0.972559
Step-by-step explanation:
Given that :
Sample size (n) = 36
σ² = 6
sample variance S^2
a) greater than 9.1;
b) between 3.5 and 10.5.
The degree do freedom (df) = n - 1
S² > 9.1
P(S² > 9.1) = X² > ((n - 1) * S²) / 6
P(S² > 9.1) = ((36 - 1) * 9.1) / 6
P(S² > 9.1) = (35 * 9.1) / 6
P(S² > 9.1) = 53.083
P(X² > 53.08) = 0.02566 ( chi square distribution calculator)
b) between 3.5 and 10.5.
((36 - 1) * 3.5) / 6 ≤ S² ≤ ((36 - 1) * 10.5) / 6
20.416666 ≤ S² ≤ 61.25
Using the Chisquare distribution calculator :
P(X² > 20.42) = 0.9765
P(X² > 61.25) = 0.003941
Hence,
0.9765 - 0.003941 = 0.972559
Answer:
1) 33 cm squared
2) 212.5 cm squared.
Step-by-step explanation:
1) Split the figure into a rectangle and a square. The rectangle is 8 (4 times 2) and the square is 25 (5 times 5). 25+8 =33.
2) Find the area of the shaded and unshaded. 14 times 25 equals 350. Then find the area of the unshaded triangle. 11 times 25 divided by 2 is 137.5. Now subtract. 350-137.5 = 212.5.
*please mark brainliest*
Answer : y = x + 1
the solution is in the pic below :)
