Step-by-step explanation:
⇒12)It is an arithmetic sequence.
d=2-1=3-2=4-3=1
a(n) = a +(n-1)d
a(n) = 1+(n-1)1
The next three terms:
a(6) = 1+(6-1)1=6
a(7) = 1+(7-1)1=7
a(8) = 1+(8-1)1=8
⇒13)It is an arithmetic sequence.
d=0-3=-3-0=-6+3=-3
a(n) = a +(n-1)d
a(n) = 3+(n-1)-3
The next three terms:
a(5) = 3+(5-1)-3=-9
a(6) = 3+(6-1)-3=-12
a(7) = 3+(7-1)-3=-15
⇒14)It is <u>not </u>an arithmetic sequence.
⇒15) a(50) = 10 +(50-1)5
=<u>255</u>
<u>I hope this helps</u>
<u />
What do you mean? You deposited $50 didn’t you? HUuH
Answer:
a) 21/1240 = 0.017
b) 9/1240 = 7.26*10^-3
c) 3/2480 = 1.21*10^-3
Step-by-step explanation:
There are total 32 M&Ms in the bag
a) Probability that all three are blue M&Ms (without replacement)
(9/32)*(8*31)*(7/30) = 21/1240 = 0.017
b) Probability that the first one selected is blue, the second one selected is orange, and the third one selected is red
(9/32)*(6/31)*(4/30) = 9/1240 = 7.26*10^-3
c) Probability that the first two selected are red, and the third one selected is yellow
(4/32)*(3/31)*(3/30) = 3/2480 = 1.21*10^-3
Answer:
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Step-by-step explanation:
Answer:
2.44
Step-by-step explanation:
Given: x³ + 2x² - 5ax - 7 and x³ + ax² - 12x + 6
Also, R1 + R2 = 6
in order to find the value of a:
Let p(x) = x³ + 2x² - 5ax - 7 and q(x) = x³ + ax² - 12x + 6
Using remainder theorem i.e if a polynomial p(x) is divisible by polynomial of form x - a then remainder is given by p(a).
Then,
R1 = p( -1 ) = (-1)³ + 2(-1)² - 5a(-1) - 7 = -1 + 2 + 5a - 7 = 5a - 6
R2 = q( 2 ) = 2³ + a(2)² - 12(2) + 6 = 8 + 4a - 24 + 6 = 4a - 10
Now,
R1 + R2 = 6
5a - 6 + 4a - 10 = 6
9a = 22
a=2.44
Therefore, Value of a is 2.44
