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Nitella [24]
3 years ago
6

Two distinct integers, $x$ and $y$, are randomly chosen from the set $\{1,2,3,4,5,6,7,8,9,10\}$. What is the probability that $x

y-x-y$ is even?
Mathematics
1 answer:
Vaselesa [24]3 years ago
7 0
24 i really dont know what 

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five consecutive terms of an arithmetic sequence have a sum of 40. The product of the middle and the two end terms is 224. Find
ratelena [41]
Let the five terms be: a, a + d, a + 2d, a + 3d, a + 4d, then
a + a + d + a + 2d + a + 3d + a + 4d = 5a + 15d = 40
i.e. a + 3d = 8
Also, (a + 2d)(a + 3d)(a + 4d) = 224
(a + 3d - d)(a + 3d)(a + 3d + d) = 224
(8 - d)(8)(8 + d) = 224
(8 - d)(8 + d) = 224/8 = 28
64 - d^2 = 28
d^2 = 64 - 28 = 36
d = sqrt(36) = 6
But a + 3d = 8
a + 3(6) = 8
a = 8 - 18 = -10

Therefore, the term of the sequence is: -10, -10 + 6, -10 + 2(6), -10 + 3(6), -10 + 4(6)
= -10, -4, -10 + 12, -10 + 18, -10 + 24
= -10, -4, 2, 8, 14

4 0
3 years ago
4 = 1 - n + 4? Geometry btw
eimsori [14]

Answer:

N = -7

Step-by-step explanation:

4 = 1 - n -4

Subtract the numbers first

1 - 4 = -3

Then rearrange the terms

4 = -3 - n

-----> 4 = n - -3

The you add 3 to both sides of the equations

4 + 3 = -n - 3 + 3

3 0
2 years ago
The sum of two numbers is 23. Twice one number increased by 6 is the same as 4 times the other number decreased by 2. What is th
gregori [183]

Answer:

32.5

Step-by-step explanation:

23x6÷4-2 and that's how you get your answer

8 0
3 years ago
I need your help right now!
Orlov [11]

Answer: B

Step-by-step explanation: I think if it is wrong i am so so so so so so sorry but i am 79.99999% positive

6 0
3 years ago
Read 2 more answers
If ƒ (x ) = 3x 2 - x, find ƒ (-2).<br><br> 10<br> 14<br> 38
mamaluj [8]

Answer:

Answer is 14.

Step-by-step explanation:

f(-2)=3*(-2)^2 - (-2)

=3*4+2

=12+2

=14

3 0
3 years ago
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