Answer:
(1,1)
Step-by-step explanation:
M=(x1+x2 / 2 , y1+y2 / 2)
M=(-2+4 / 2 , 4+ -2 / 2)
M=(2 / 2 , 2 / 2)
M=(1,1)
Answer:
f(-7)=0.
f(2)=-9/5.
f(3) doesn't exist because 3 isn't in the domain of the function.
Step-by-step explanation:
is the given function.
We are asked to find:
.
f(-7) means to replace x in the expression called f with -7:
Evaluate 
at 
So f(-7)=0.
f(2) means to replace x in the expression called f with 2:
Evaluate at 
So f(2)=-9/5
f(3) means to replace x in the expression called f with 3:
Evaluate at 
Division by 0 is not allowed so 3 is not in the domain of our function.
Approximately 95% of bags contain between 65 and 85 potato chips.
<u>Step-by-step explanation</u>:
step 1 :
Given,
The mean, M = 75
Standard deviation, SD = 5
step 2 :
From Normal distribution,
The left side of mean is 32% = M-SD, 16% = M-2SD and 2% = M-3SD
The right side of mean is 32% = M+SD, 16% = M+2SD and 2% = M+3SD
step 3 :
Calculate for left side: M-SD = 75-5 = 70 and M-2SD = 75-10 = 65
Calculate for right side: M+SD = 75+5 = 80 and M+2SD = 75+10 = 85
step 4 :
Calculate the percentage between 65 and 85:
(M-SD) + (M-2SD) + (M+SD) + (M+2SD) = 32% + 16% + 32% + 16%
= 96 % (which is approximately 95 %)
Answer: <u>£21007.22</u>
Step-by-step explanation:
First, find the interest amount using the formula SI = (P × R × T) / 100.
- SI = interest amount
- P = principle amount = £18790
- R = interest rate(in percentage) = 5.9
- T = time(in years) = 2
SI = (P × R × T) / 100 = (18790 × 5.9 × 2)/100 = 221722/100 = £2217.22
The total amount = principle amount + interest amount
= £18790 + £2217.22 = <u>£21007.22</u>
First term = 12
Solution:
A4 = 24
A12 = 56
An = A1 + (n-1)d; this defines the formula of an arithmetic series
A4 = 24 = A1 + (4-1)d
A4 = 24 = A1 + 3d
A12 = 56 = A1 + (12-1)d
A12 = 56 = A1 + 11d
Subtract A4 from A12 to get d (distance)
(56 = A1 + 11d) - (24 = A1 +3d)
32 = 8d
d = 4
Substitute d = 4 into A4
A4 = 24 = A1 + 3(d)
24 = A1 + 3(4)
24 = A1 + 12
24 - 12 = A1
12 = A1
