Answer: 691
<u>Step-by-step explanation:</u>
There are 3 different ways to find the remainder. I am not sure which method you are supposed to use, so I will solve using all 3 methods.
Long Division:
<u> 10x³ + 24x² + 77x + 230 </u>
x - 3 ) 10x⁴ - 6x³ + 5x² - x + 1
- <u>(10x⁴ - 30x³) </u> ↓ ↓ ↓
24x³ + 5x² ↓ ↓
- <u>(24x³ - 72x²) </u> ↓ ↓
77x² - x ↓
- <u>(77x² - 231x) </u> ↓
230x + 1
- <u>(230x - 690)</u>
691 ← remainder
Synthetic Division:
x - 3 = 0 ⇒ x = 3
3 | 10 -6 5 -1 1
|<u> ↓ 30 72 231 690</u>
10 24 77 230 691 ← remainder
Remainder Theorem:
f(x) = 10x⁴ - 6x³ + 5x² - x + 1
f(3) = 10(3)⁴ - 6(3)³ + 5(3)² - (3) + 1
= 810 - 162 + 45 - 3 + 1
= 691
Hello there,
The outlier of the data set is 92. Lets first find everything with the outlier.
Mean: 60.08
Median: 57
Mode: 52
Range:46
Now let's take out the outlier of the set and see the difference.
Mean: 54.27
Median:56
Mode: 52
Range: 15
So as we can see without the outlier everything is closer together. The outlier shouldn't be included because that makes the entire set screwed up. The data is more accurate without the outlier.
Hope this helps!
The number of students like physics more than mathematics is 15 , Option B is the correct answer.
<h3>What is a Number ?</h3>
A mathematical way of expressing quantity of a substance is called a Number.
Number of students in a school who like mathematics = 20
Number of students in a school who like physics = 35
number of students in a school who like only physics is 20
number of students who like only Mathematics is 5
the number of students like physics more than mathematics is 20-5 = 15
Therefore Option B is the correct answer.
To know more about Number
brainly.com/question/17429689
#SPJ1
Answer:
-1
Step-by-step explanation:
3-2*r=5
-2*r=5-3
-2*r=2 /:(-2)
r= -1
