3x² - 21
Factor 3 from both terms:
3 (x² - 7)
To me, that's as far as you should need to go. But if you want to get
completely carried away, you could go one step further, since you have
the difference of two squares:
3 (x + √7) (x - √7)
Of course, there's no end now, because the last binomial could be
considered another difference of two squares, so you'd have to
factor that too:
3 (x + √7) (√x + ⁴√7) (√x - ⁴√7)
but to me, this would be nonsense.
Answer:
7
Step-by-step explanation:
51 ÷ 7.2 is about 7.08 continued but you can't make .08 of a braclet so it's just 7
Answer:
See below.
Step-by-step explanation:
6.) (5)/6 ≤ 1 (Yes)
7.) 1.4(11) > 16
15.4 > 16 (No)
8.) 11.1 + 9.8 ≥ 21.01
20.9 ≥ 21.01 (No)
9.) 2.5 < (90)/30
2.5 < 3 (Yes)
10.) 1/2 > 3(1/6)
1/2 > 1/2 (No)
11.) 2.16 ≥ 3(0.6) - 0.5
2.16 ≥ 1.8 - 0.5
2.16 ≥ 1.3 (Yes)
12.) x < 2 (x is less than 2.)
13.) x ≥ -1 (x is greater than or equal to -1.)
Answer:
The cutoff sales level is 10.7436 millions of dollars
Step-by-step explanation:
Problems of normally distributed samples are solved using 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 problem, we have that:

15th percentile:
X when Z has a pvalue of 0.15. So X when Z = -1.047.




The cutoff sales level is 10.7436 millions of dollars