Answer:
I think it is 192
Step-by-step explanation:
Volume of cube: 5 x 4 x 8 = 160
Area of diagonal: 160/2 = 80
Length of diagonal: 80 / 0.5 x 3 = 480
AB = 480 / 5 x 2 = 192
I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?
Answer:
factor:
x^2+2x+2x+4
x(x+2)+2(x+2)
(x+2)(x+2)
100x^2+20x+1
100x^2+10x+(10x+1)
10(10x+1)+(10x+1)
(10x+1)(10x+1)=(x+2)(x+2)
Hope this helps you
Answer:
m∠T = 72°
m∠U = 54°
Step-by-step explanation:
Property of an isosceles triangle,
Opposite angles of two equal sides of an isosceles triangle are equal in measure.
By this property, in the given triangle STU,
Since, ST ≅ TU,
m∠S = m∠U = 54°
Since, sum of interior angles of a triangle is 180°
m∠T + m∠S + m∠U = 180°
m∠T + 54° + 54° = 180°
m∠T = 180° - 108°
m∠T = 72°
Answer:
And rounded up we have that n=385
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
Solution to the problem
In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by
and
. And the critical value would be given by:
The margin of error for the proportion interval is given by this formula:
(a)
And on this case we have that
and we are interested in order to find the value of n, if we solve n from equation (a) we got:
(b)
We can use as an estimator for p
. And replacing into equation (b) the values from part a we got:
And rounded up we have that n=385