Expand
simplify 36 - 4.5x + 36 to -4.5x + 72
simplify 102 - 7.5x - 60 to -7.5x + 42
add 7.5x to both sides
simplify -4.5x + 72 + 7.5x to 3x + 72
subtract 72 from both sides
simplify 42 - 72 to -30
divide both sides by 3
simplify 30/3 to 10
Answer: x = -10
Answer:
We conclude that the machine is under filling the bags.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 436.0 gram
Sample mean, 
= 429.0 grams
Sample size, n = 40
Alpha, α = 0.05
Population standard deviation, σ = 23.0 grams
First, we design the null and the alternate hypothesis
We use one-tailed(left) z test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We reject the null hypothesis and accept the alternate hypothesis. Thus, we conclude that the machine is under filling the bags.
Step-by-step explanation:
7=4y-13
7+13=4y
20/4=y
5=y
Answer:Kyle’s claim is not reasonable
Step-by-step explanation:
Total length of the string of the necklace that Kyle covered with black beads is 5/8.
Total length of the string of the necklace that Kyle covered with white beads is 1/4.
Total length of the string of the necklace that Kyle covered with black beads and white beads is would be
1/4 + 5/8 = 7/8 = 0.875
Kyle thought that he will cover 6/12 of the string with beads. 6/12 = 0.5
It means that he covered more than 6/12. Kyle's claim was wrong
