For #3, you just have to plug in the numbers for x.
It tells you what to substitute for x in the question. (x = 0, 1, 2, 3, 4, 5, and 6)
For example, let's substitute 0 for x.
6x - x² (the 2 means square the number, or multiply it by itself)
6(0) - (0)²
0 - 0
= 0.
You'll do that to all the numbers (1-6) and fill out the table.
For #4, you have to solve using the distributive property to find out if the equations on both sides are equal.
I'll do the first one for you.
6a - 8 = 2 (3a - 5)
6a - 8 = 6a - 10
They're not equal.
Answer:
1
Step-by-step explanation:
Answer:
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean and standard deviation , the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
What is the minimum weight of the heaviest 9.85% of all items produced?
This is the 100 - 9.85 = 90.15th percentile, which is X when Z has a pvalue of 0.9015. So X when Z = 1.29.
The minimum weight of the heaviest 9.85% of all items produced is 5.26 ounces.
Find the common multiples:
Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48
Multiples of 9: 9, 18, 27, 36, 45
The common multiples are 18 and 36
The first person in line to get both free would be the 18th person and then the 36th person.
So she is correct that the 36th person would get both free, but they wouldn't be the first person to do it.
Answer:
v=-4
Step-by-step explanation:
subtract 9 from both sides and simplify and divide both sides by 2