Answer:
Money with Mary = $28
Money with Vivan = $12
Step-by-step explanation
Money with Mary = $ m
Money with Vivan = $v
If mary gave vivan $8 they would have same amount. $ 8 is reduced from Mary's amount 'm' and $8 is added to vivan amount 'v'
m - 8 = v + 8
m = v + 8 +8
m -v = 16 ----------------(I)
If vivan gives mary $8, then mary would have 9 times as much as vivan.
9(v - 8) = m + 8
9v - 72 = m + 8
9v - m = 8 + 72
-m + 9v = 80 --------------(II)
Add equation (I) and (II). Thus m will be cancelled and we will get the value of v
(I) m - v = 16
(II) <u>-m + 9v = 80</u> {Now add}
8v = 96
v = 96/8
v = $ 12
Plugin v = 12 in equation (I)
m - 12 = 16
m = 16 +12
m =$ 28
Answer:
Option B is correct
Step-by-step explanation:
Given is a cos funciton.
Period = 3
Max = 20 and minimum =0
Hence centre line is y = 1/2 (max+min)
i.e. y =10 is the central line
Let the funciton be of the form
y = a cos (bx+C)+d
We got d = 10...i
Period =3
Hence b = 
... ii
Amplitude = a = distance of max from central line = 20-10 =10...iii
Since reflection over x axis, sign of a =negative
a=-10
Since no horizontal shift, c=0 ... iv
Put to gether the function is
Answer:
300 in2
Step-by-step explanation:
area of 2 identical triangle + area of 3 rectangle = surface area
(5*12/2)*2 + 8*12 + 5*8 + 8*13 = 300 in2
Answer:
1.691
Step-by-step explanation:
Standard error of the mean is expressed as SEM = S/√n
S is the population standard deviation
n is the sample size (number of observation)
Given S = 27 and n = 255
SEM = 27/√255
SEM = 27/15.97
SEM = 1.691
Hence the standard error of the mean is 1.691
First figure out how many people are 1/4 of 84 by dividing 84 by 4 =21. Then multiply 21 by 3 to figure out how many people are 3/4 of 84 =63. 63 people guessed incorrectly and 21 people guessed correctly:)
