7+14+21+28+...+105=1*7+2*7+3*7+4*7+...+15*7
15
∑7*n=7*1+7*2+7*3+7*4+...+15*7=7+14+21+28+...+105
n=1
Answer:
r = 1
Step-by-step explanation:
8 - 6r + 3 = 5
Combine like terms
11 - 6r = 5
Subtract 5 from both sides
6 - 6r = 0
Add 6r to both sides
6 = 6r
Divide both sides by 6
1 = r
Answe
Go to desmos online
Step-by-step explanation:
The rule is x+2, y-3 so you apply it to each of these coordinates. Right 2, down 3.
A(-2,2) -> A'(0,-1)
B(-2,4) -> B'(0, 1)
D(2,2) -> D'(4,-1)
Answer:
29. 15.87%
30. 4.75%
31. 0.62%
32. probability cannot be calculated (0%)
Step-by-step explanation:
We have that the formula of the normal distribution is:
z = (x - m) / sd
where x is the value we are going to evaluate, m is the mean and sd is the standard deviation
x = 16 and m = 16.5
when sd = 0.5
z = (16 - 16.5) /0.5
z = -1
Now when looking in the z table, we have that the corresponding value is 0.1587, that is, the probability is 15.87%
when sd = 0.3
z = (16 - 16.5) /0.3
z = -1.67
Now when looking in the z table, we have that the corresponding value is 0.0475, that is, the probability is 4.75%
when sd = 0.2
z = (16 - 16.5) /0.2
z = -2.5
Now when looking in the z table, we have that the corresponding value is 0.0062, that is, the probability is 0.62%
when sd = 0
z = (16 - 16.5) / 0
z = infinity
probability cannot be calculated