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Vsevolod [243]
3 years ago
9

Factorize p2-15q-5p+2pq​

Mathematics
1 answer:
Norma-Jean [14]3 years ago
6 0

<h2>Hope it's help you!!!!!!</h2>

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The sum of three consecutive terms of an arithmetic sequence is 27, and the sum of their squares is 293. What is the absolute di
Ber [7]

The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.

The sequence is an arithmetic sequence. Therefore,

d = common difference

let

a = centre term

Therefore, the 3 consecutive term will be as follows

a - d,  a, a + d

a - d +  a + a + d = 27

3a = 27

a = 27 / 3

a = 9

Therefore,

(a-d)² + (a)² + (a + d)² = 293

(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293

(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293

243 + 2d² = 293

2d² = 50

d² = 50 / 2

d = √25

d = 5

common difference = 5

Therefore, the 3 numbers are as follows

9 - 5 , 9, 9 + 5 = 4, 9, 14

The difference between the greatest and the least of these 3 numbers are as follows:

14 - 4 = 10

learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults

7 0
2 years ago
Help w it please oka
Nadusha1986 [10]

Answer:

13

Step-by-step explanation:

4 0
2 years ago
During statistical analysis, the investigator may consider searching for statistical associations among various groups that may
IceJOKER [234]

.

Answer:

This is known as Data dredging.

Step-by-step explanation:

In order for any statistical analysis to be significant, a researcher has to first generate a hypothesis.  

Data dredging is trying to uncover patterns in data that can be presented statistically without devising a clear hypothesis by use data mining.  It is also referred to as data fishing or p-hacking.  

In this case any correlation (relationship between cause-effect)will be purely by chance.

Therefore, the investigator is Data dredging

3 0
2 years ago
Point P lies on the line with the equation y-4=3(x-2). If the x-coordinate of P is 4, what is the y-coordinate of P
maw [93]
Let's start by tidying up that equation and put it into slope-intercept form (y = mx + b); from there, we can plug in coordinates.

y - 4 = 3(x-2)

Let's use the distributive property on the right side:
y - 4= 3x - 6

Now add 4 to both sides
(y - 4) + 4 = (3x - 6) + 4

Which simplifies to:
y = 3x - 2

Since that's the equation of our line, now we can plug in coordinates and see what it churns out. 

We know that the x-coordinate of P = 4 so let's substitute 4 in for x and calculate the y-coordinate:

y = 3(4) - 2
y = 12 - 2
y = 10

So the y-coordinate for point P = 10
6 0
2 years ago
suzy had 10L of water. She wanted to pour an equal amount of water into 5 thermoses. How many liters did she pour into each ther
jek_recluse [69]
Divide 10 by 5.

10/5=2

2 liters per thermus.
3 0
3 years ago
Read 2 more answers
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