Sum of the first 8 terms in an arithmetic sequence is 304.
Given that, 
and 
.
<h3>What is sum of arithmetic sequence?</h3>
The sum of the arithmetic sequence formula is defined as the formula to calculate the total of all the terms present in an arithmetic sequence.
The sum of the first n terms in an arithmetic sequence is (n/2)⋅(a₁+aₙ).
Now, sum of the first 8 terms in an arithmetic sequence is
(8/2).(2+74)
=4×76
=304
Therefore, sum of the first 8 terms in an arithmetic sequence is 304.
To learn more about an arithmetic sequence visit:
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Answer:
Step-by-step explanation:
(-4,5)
x= -4 y=5
Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
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Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
Answer:
15ab
Step-by-step explanation:
if the AB is capital on purpose then its 15a^2b over AB
Answer:
P(C/R) = 0.4298
Step-by-step explanation:
Missing word <em>"arble, what is the chance it came from box Type C? (Give the decimal answer rounded to at least four places
)"</em>
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Solution:
Given that P(A) = 75% = 0.75
P(B) = 20% = 0.20
P(C) = 0.05
The chance of drawing a Red marble fro,
P(R/A) = 2% = 0.02
P(R/B) = 25% = 0.25
P(R/C) = 98% = 0.98
If he select Box A than the probability of Red marble drawing
= P(A) * P(R/A)
= 0.75 * 0.02
= 0.015
If he select Box B than the probability of Red marble drawing
= P(B) * P(R/B)
= 0.20 * 0.25
= 0.5
If he select Box C than the probability of Red marble drawing
= P(C) * P(R/C)
= 0.98 * 0.05
= 0.049
So total probability of drawing Red marble is
P(R) = 0.015 + 0.050 + 0.049
P(R) = 0.114
If the Contestant draw a Red marble. Probability that it comes from box type (C) using Boyes theorem is
P(C/R) = {P(C) * P(R/C)} / P(R)
P(C/R) = 0.049 / 0.114
P(C/R) = 0.429824
P(C/R) = 0.4298
