8.4 * 10^1 is what I think the answer is
Answer:
or 26.19%
Step-by-step explanation:
If the range of possible numbers is between 12 and 54 then that means that there are 42 (54 - 12) possible numbers that can be made. In this range, there are 11 prime numbers which are the following...
13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53
Therefore, the probability that the number formed is a prime would be which if we divide and multiply the decimal by 100 we get the probability in percentage form.
= 0.2619
0.2619 * 100 = 26.19%
Finally, we can see that the probability of this happening is 26.19%
Answer:
red = 28 apples
green = 13 apples
equations:
r + g = 41
r = g + 15
Step-by-step explanation:
r = number of red
g = number of green
r = g + 15 (the number of red apples is 15 more than the number of green apples)
r + g = 41
Substitute the firs equation into the second and solve for a numerical value of g
(g + 15) + g = 41
2g + 15 = 41
2g = 26
g = 13
Now solve for a numerical value of r
r = g + 15
r = 13 + 15
r = 28
checking the math:
r + g = 41
28 + 13 = 41
Please lmk if you have any questions.
Answer:
Step-by-step explanation:
Given the explicit function as
f(n) = 15n+4
The first term of the sequence is at when n= 1
f(1) = 15(1)+4
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 15(2)+4
f(2) = 34
d = 34-19
d = 15
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)15)
S20 = 10(38+19(15))
S20 = 10(38+285)
S20 = 10(323)
S20 = 3230.
Sum of the 20th term is 3230
For the explicit function
f(n) = 4n+15
f(1) = 4(1)+15
f(1) = 19
a = 19
Common difference d = f(2)-f(1)
f(2) = 4(2)+15
f(2) = 23
d = 23-19
d = 4
Sum of nth term of an AP = n/2{2a+(n-1)d}
S20 = 20/2{2(19)+(20-1)4)
S20 = 10(38+19(4))
S20 = 10(38+76)
S20 = 10(114)
S20 = 1140
Sum of the 20th terms is 1140