Answer:
x<-1
Step-by-step explanation:
All of the numbers on/in the set are below -1. That means for that any of them to be x, the inequality would be x<-1.
Answer:
see explanation
Step-by-step explanation:
In 13 - 17
Consider the factors of the constant term which sum to give the coefficient of the x- term
13
x² - x - 42 = (x - 7)(x + 6)
15
x² + x - 6 = (x + 3)(x - 2)
17
x² - 27x + 50 = (x - 25)(x - 2)
19
r² - 25 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , thus
r² - 25
= r² - 5² = (r - 5)(r + 5)
Answer:
Step-by-step explanation:
a1 = - 7
d = 4
an = a1 + (n - 1) * d
an = - 7 + (n - 1) * 4
an = - 7 + 4n - 4
an = -11 + 4n
Try this out. Let n = 3
a3 = -11 + 4*3
a3 = - 11 + 12
a3 = 1 Which is what the series says.
Answer:
$16.25
Step-by-step explanation:
1. 33% of $25 is $8.75
2. Subtract $25.00 and $8.75
3. The answer is $16.25
Answer:
Part A
Part B
- B. Ryan Shafer has been more consistent because his mean absolute deviation is less than Norm Duke’s.
Step-by-step explanation:
<u>Given data:</u>
- 299, 281, 285, 269, 280, 269, 286, 287
<h3>Part A</h3>
<u>Find the mean of the data above:</u>
- (299 + 281 + 285 + 269 + 280 + 269 + 286 + 287)/8 = 282
<u>Find absolute deviations, an absolute value of the difference of data and the mean:</u>
- 299 - 282 = 17 ⇒ 17
- 281 - 282 = -1 ⇒ 1
- 285 - 282 = 3 ⇒ 3
- 269 - 282 = -13 ⇒ 13
- 280 - 282 = 2 ⇒ 2
- 269 - 282 = -13 ⇒ 13
- 286 - 282 = 4 ⇒ 4
- 287 - 282 = 5 ⇒ 5
<u>Find mean absolute deviation:</u>
- (17 + 1 + 3 + 13 + 2 + 13 + 4 + 5)/8 = 7.25
Correct choice is C
<h3>Part B</h3>
Less mean absolute deviation is the sign of more consistent data.
Since Ryan Shafer has smaller mean absolute deviation, he has been more consistent 7 < 7.25
Correct choice is B.
