For the first one, there are 50 south american butterflies
If these were the given choices:
A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato chip bag assembly line.
B. The popcorn bag assembly line is closer to the specifications given because its z-score is further from the standard mean than the potato chip bag assembly line.
C. The potato chip bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the popcorn bag assembly line.
D. The potato chip bag assembly line is closer to the specifications given because its z-score is further from the standard mean <span>than the popcorn bag assembly line.
My answer is: </span>A. The popcorn bag assembly line is closer to the specifications given because its z-score is closer to the standard mean than the potato <span>chip bag assembly line.
Given:
Ave.weight of a bag of popcorn - 3.02 oz
allowable deviation - 0.02 oz
Ave. weight of a bag of potato chips - 5.03 oz
allowable deviation - 0.04 oz
Actual weight of bag of popcorn - 3.03 oz
Actual weight of bag of potato chips - 5.06 oz
The allowable deviation is very minimal in a bag of popcorn thus its z-score is nearer to the standard mean as compared to the bag of potato chips. </span>
Answer:
for perimeter you add all sides. so Lenth x2 + width x2 is 24+30 which would equal 54
for area it's Lenth times width so 12 times 15 equals 156
Answer:
y ≤-1/2 x-1
y < -4x+25
Step-by-step explanation:
The y intercept is -1
The slope is negative since the line goes down from left to right
The line is y = -1/2 x -1
The line is solid so there is an equals in the inequality
The graph is shaded below the line
y ≤-1/2 x-1
Question 5
The y intercept is 25
The slope is negative since the line goes down from left to right
The slope is (y2-y1)/ (x2-x1) = (49-25)/(-6-0) = 24/-6 = -4
The line is y = -4 x +25
The line is dotted so there is NOT an equals in the inequality
The graph is shaded below the line
y < -4x+25
Diagonals of a rectangle are equal.
AC = BD
2(x - 3) = x + 5 Remove the brackets.
2x - 6 = x + 5 Add 6 to both sides.
2x = x + 5 + 6
2x = x + 11 Subtract x from both sides.
2x - x = 11
x = 11
AC = 2 (11 - 3) = 2*(8) = 16 <<<< Answer
BD = x + 5 = 11 + 5 = 16 <<<< Answer
