Answer:
1/3.
Step-by-step explanation:
The 2 events are independent so we multiply the 2 probabilities.
Prob(rolling an odd number) = 3/6 = 1/2.
Prob(rolling a number greater than 2) = 4/6 = 2/3.
The required probability = 1/2 * 2/3
= 2/6
= 1/3.
(-4)^2-4(1)(5)
16-4(1)(5)
16-4(5)
16-20
-4
The discriminant is negative so there are no real number solutions.
Well 404 dollars subtract 100 for member ship and have 304 then divide 304 divided by 38 and you get 8 months plug it in and bam 8 is c which makes sesne when checking your answer
Answer:
So the answer for this case would be n=67 rounded up
Step-by-step explanation:
Information given
represent the sample mean for the sample
population mean
represent the sample standard deviation
n represent the sample size
Solution to the problem
The margin of error is given by this formula:
(a)
And on this case we have that ME =400 and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
The critical value for 98% of confidence interval now can be founded using the normal distribution. And the critical value would be 
, replacing into formula (b) we got:
So the answer for this case would be n=67 rounded up
Answer:
Hence the width, length is 20 cm and height is 10 cm
Step-by-step explanation:
Since the box has a square base, let length = width = x. Also, let the height = y, therefore:
The volume of box = width * length * height
4000 = x * x * y
4000 = x²y
y=4000/x²
The surface area (SA) = area of the base + sum of the area of each side
SA = x² + xy + xy + xy + xy
SA = x² + 4xy
substitute y = 4000/x²
SA = x² + 4x(4000/x²)
SA = x² + 16000/x
Taking the derivative:
SA' = 2x - 16000/x²
making SA' = 0:
0 = 2x - 16000/x²
2x = 16000/x²
2x³ = 16000
x³ = 8000
x = 20 cm
y = 4000 / x² = 4000 / 20² = 10 cm
Hence the width, length is 20 cm and height is 10 cm
