Answer:
a) (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Step-by-step explanation:
Given that:
For male students: number of male students () = 69, number who liked the new method (x) = 38
For female students: number of female students () = 73, number who liked the new method (x) = 20
a) The probability that a male student like the new method () is given as:
The probability that a female student like the new method () is given as:
c = 95%, α = 1 -c = 0.05
the difference between the proportions of male and female students who like the new method better = ± = ± = (0.124, 0.435)
b) I am 95% confident that the proportion difference is between 0.124 and 0.435
Answer:
B
Step-by-step explanation:
First find the circumference of the circle with radius of 9 inches:
The full angle has 360°, so, to find the length of the arc DE, you can write:
which yields a proportion:
Answer:
The y-intercept is (0,-6), but the way they want it written the answer is y intercept= -6
Step-by-step explanation:
Answer:
Step-by-step explanation:
As 2 and 7 are the only prime divisors of both and we know that both can be written as:
Where is the set of all natural numbers adding the zero (careful because this part is important as I'll explain next).
We also know that 14 divides both numbers and that is actually the greatest common divisor between them. So we can rewrite a and b as follows:
Why do I write them like this? Because this way is easier to observe that if and were both greater than zero, then 28 would divide both hence 14 wouldn't be their g.c.d.. Likewise, if and were both greater than zero, then 98 would divide both and once again, 14 wouldn't be their g.c.d.
So either of them has to be equal to zero. And then we have that
All we have left to do is find the possible values for and so that and that only happens if and
Answer:
42 cylinders
Step-by-step explanation:
we know that
To find out how many cylinders with a surface area of 0.9424m2 can be painted with one can of paint, divide the square meters that cover one can of paint by the surface area of one cylinder
so
Round down to the nearest whole number
42 cylinders