Answer: 150
Step-by-step explanation:
To solve arithmetic progression, the nth term is calculated using the formula = a + (n - 1)d
From the question,
First term = a = 4
12th term = 31.5
We need to get the common difference which will be:
Since 12th term = 31.5
a + (n - 1)d = 31.5
a + (12 - 1)d = 31.5
a + 11d = 31.5
Recall that a = 4
4 + 11d = 31.5.
11d = 31.5 - 4
11d = 27.5
d = 27.5 / 11
d = 2.5
Since last term is 376.5, the number of terms in it will be calculated as:
a + (n - 1)d = 376.5
4 + (n - 1)2.5 = 376.5
4 + 2.5n - 2.5 = 376.5
2.5n = 376.5 - 4 + 2.5
2.5n = 375
n = 375 / 2.5
n = 150
The number of terms in the series is 150.
Answer:
Step-by-step explanation:
5. 24
6. 14
7. 45
8. 15
9. 5
10. 5
11. 18
12. 12
13. 8
14. 84
For binomial distribute we use formula
the probability mass function of the binomial distribution is:
Given n = 12 and π = .6. (Replace the values)
the probability for x = 5, we need to find P(x=5). Here r= 5
P(x=5)= 
= 
= 0.10090 = 0.101
(b) the probability for x ≤ 5
P(x<=5) = P(x=0) + P(x=1) +P(x=2)+ P(x=3) + P(x=4) + P(x=5)
P(x<=5) = 
+ 
+ 
+ 
+ 
+
= 0.15821229 = 0.158
(c) find the probability for x ≥ 6
P(x>=6) =P(x=6) + P(x=7) +P(x=8)+ P(x=9) + P(x=10) + P(x=11)+ P(x=12)
P(x>=6) = 
+ 
+ 
+ 
+ 
+ 
+ 
= 0.8417877 = 0.0842 (rounded to 3 decimal places)
Answer:
A
Step-by-step explanation:
since the line is parallel, it will have the same gradient. from this, we can deduce that tbe equation will also start with y = ⅕x.
next, we see that it passes through the point (0,6). what this means is, when x = 0, y = 6 which is better known as the y intercept. so in the form y= mx + b:
the equation of the line is y = ⅕x + 6
