Answer:
0.0735,0.0179,0.7026
Step-by-step explanation:
Given that a simple random sample of size nequals 49 is obtained from a population with mu equals 78 and sigma equals 28.
Sample size = 49
Population mean = 78
Population std deviation = 28
Std error of sample mean = 
a) 
: N(78, 4)
b) 
(by converting to Z and finding value from Z table)
c) P (x overbar less than or equals 69.6 )
=
d) P (75.8 less than x overbar less than 88 )
=
Answer:
the future value is $5800.38
Step-by-step explanation:
Given that
The invested amount i.e present value is $500
The rate is 5 % per year so quarterly rate is 5% ÷ 4 = 1.25%
The time period is 3 per year so for quartely it is 3 × 4 = 12
We need to find out the future value
So as we know that
Future value = Present value × (1 + rate of interest)^time
= $500 × (1 + 0.0125)^12
= $580.38
hence, the future value is $5800.38
First you make them fractions that have the same denominator. 12 can be the denominator, because 6 5/12 already has that denominator and to get 2 2/3 to have a denominator of 12, you multiply the numerator and denominator by 4 (3•4=12, but you have to do the same thing to the top and bottom of the fraction). You then have the equation
6 5/12- 2 8/12. Since you cant subtract 8/12 from 5/12, you turn the numbers into improper fractions, which would be
77/12 - 32/12. You subtract them and get 45/12. You then have to simplify it again, 12 can go into 45, 3 times and you would have 3 and 9/12. 9/12 can be simplified down to 3/4. So the answer would be 3 3/4.
Answer:
i.e. The inverse function
i.e. The French size of a dress if it is U.S. size 10 is 42.
Step-by-step explanation:
Given
Solving (a): The inverse function
Replace d(x) with y
Swap y and x
Make y the subject
Replace y with d'(x)
Hence, the inverse function is:
Solving (b): US size of 10
Substitute 
