Correct Ans:Option A. 0.0100
Solution:We are to find the probability that the class average for 10 selected classes is greater than 90. This involves the utilization of standard normal distribution.
First step will be to convert the given score into z score for given mean, standard deviation and sample size and then use that z score to find the said probability. So converting the value to z score:

So, 90 converted to z score for given data is 2.326. Now using the z-table we are to find the probability of z score to be greater than 2.326. The probability comes out to be 0.01.
Therefore, there is a 0.01 probability of the class average to be greater than 90 for the 10 classes.
Answer:
Basic wage rate = $9.375 per hour
Step-by-step explanation:
Given :
Fortnight wage = $750
Basic week, hours worked per week = 40 hours
Weekly basic wage rate :
Fortnight = 2 weeks
Hence, weekly wage = fortnight wage / 2 = 750 /2 = $375
Weekly basic wage rate = $375 / Number of hours worked per week = $375 / 40 = $9.375 per hour
Answer:
x = -33
Step-by-step explanation:
2/3(x+6) = -18
multiply (x+6) by 2/3
2/3x + 4 = -18
subtract 4 from both sides
2/3x + 4 - 4 = -18 - 4
2/3x = -22
multiply by 3/2
2/3 x 3/2 x = -22 x 3/2
x = -33
Answer:
$26.02
Step-by-step explanation:
Let the price of a skirt be A and that of coat be B
Iilly bought 6 skirts and 5 coats for a total of $452.62
That’s
6A + 5B = 452.62
Also, Lilly’s sister bought 3 skirts and 5 coats for $289.36
That’s
3A + 5B = 289.36
We now have two equations
1 . 6A + 5B = 452.62
2. 3A + 5B = 289.36
Subtract equation two from equation one
We have
3A = 163.26
Divide both sides by 3
3A/3 = 163.26/3
A = 54.42
A = $54.42
Now substitute 54.42 for A in either equations to get B the price of a coat
Using equation one, we have
6A + 5B = 452.62
6 x 54.42 + 5B = 456.62
326.52 + 5B = 456.62
Subtract 326.52 from both sides
326.52 - 326.52 + 5B = 456.62 - 326.52
5B = 130.1
Divide both sides by 5
5B/5 = 130.1/5
B = 26.02
= $26.02
A coat cost $26.02
The circumference of a circle is determined by the formula 2πr.
I'd say divide the circumference by two and youll be left with 60.5=πr .
then divide 60.5 by 3.14 to get r
which is approximately 19.26
now use the circle formula for area
A=πr²
A in terms of pi is
A = π*(19.26)²