Answer:
(a) z(105)= (105-95)/10
= 1
z(85)= (85-95)/10
= -1
P(85< x < 105) = P(-1< z < 1) = 0.6825
Quantity of people of 1600 that have IQ between 85 and 115 = 0.6825*1600= 1092
(b) z(105) = (115-95)/10 = 2
z(85) = (75-95)/10 = -2
P(-2< z < 2) = 0.6827
quantity of people of 1600 that have IQ between 75 and 115 = 0.6825x1600=1092
(c) Z(>125)=( 125-100)/10=3
Answer:
a) $66
b) $48 + $3x
Step-by-step explanation:
4(12)=48
3(6)=18
48+18=66
---------------
4(12)=48
Each snack is $3, so is the bought x snacks, it would be $3x
1/8 / 3 = 1/8 x 1/3 = 1/24 of a foot every 1/10 minute
1/24 x 10 = 10/24 = 5/12 foot per minute
Step-by-step explanation:
Letting the variable x approach 1 will give us , an indeterminate result. In such a case, we can use L'Hopital's rule where
Let and
We can see that
and
Applying L'Hopital's rule, we get
Therefore, as the given expression approaches .
Answer:
x = 2
y = -3
Step-by-step explanation:
The given equation is,
22(x + yi) + (28 + 4i) = 72 - 62i
By solving this equation further,
22x + 22yi + 28 + 4i = 72 - 62i
(22x + 28) + (22y + 4)i = 72 - 62i
Now both the sides of the equation is in the form of complex number,
By comparing real and imaginary parts given on both the sides,
22x + 28 = 72
22x = 72 - 28
22x = 44
x = 2
22y + 4 = -62
22y = -62 - 4
22y = -66
y = -3
Therefore, x = 2 and y = -3 are the values for which the given equation is true.