Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
The statement fourth "No, the flowers were not put into groups first and then randomly assigned the two additives would be correct.
<h3>What is random experiment?</h3>
Any well-defined method that yields an observable outcome that cannot be precisely predicted in advance is referred to as a random experiment. To avoid any ambiguity or surprise, a random experiment must be properly defined.
We have:
Total number of flowers selected = 20
And puts in each vase with same amount of water.
10 flowers have been assigned to receive the new additive.
The remaining 10 flowers receive the original additive.
Based on the data, this is not a randomized block design for the experiment because the flowers were not put into groups first and then randomly assigned the two additives.
Thus, the statement fourth "No, the flowers were not put into groups first and then randomly assigned the two additives would be correct.
Learn more about the random experiment here:
brainly.com/question/14298568
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If the y-intercepts are the same, the two equations represent the same line and there are INFINITELY MANY SOLUTIONS
Answer:
x=32°
Step-by-step explanation:
2x+3x+20=180 co interior angle
5x=180-20
x=160/5=32°
