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 probability that x will be at most 2 will be 0.89.
<h3>What is probability?</h3>
It should be noted that probability simply means the likelihood of the occurence of an event that's given.
Based on the information, let the number of points that can be scored on the statistics examination be depicted by x.
Therefore, the probability that x will be at most 2 will be:
= P(x = 0) + P(x = 1) + P(x = 2)
= 0.13 + 0.21 + 0.55
= 0.89
Therefore, the probability that x will be at most 2 will be 0.89.
Complete question:
Let x be the number of points that can be scored on 1 question of a statistics exam. Below is the probability distribution of how students did. x 0 1 2 3 P(x ) 0.13 0.21 0.55 0.11 Find the probability that x is at most 2.
Learn more about probability on:
brainly.com/question/24756209
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Answer:
21
Step-by-step explanation:
Good luck ..have a nice day
<span>120 degs --> 1/3 of the circumference :) hope i helped!</span>
