Answer:
Step-by-step explanation:
Answer:
r = 16 units
Step-by-step explanation:
From the figure attached,
AB is the tangent drawn from a point A to the circle C.
BC = r [Radius of the circle]
Length of AC = (18 + r)
AB = 30
By the property of a tangent drawn to a circle,
"Radius of a circle and tangent are perpendicular to each other"
AB ⊥ BC
By applying Pythagoras theorem in ΔABC,
AB² + BC² = AC²
(30)² + r² = (r + 18)²
900 + r² = r² + 36r + 324
36r = 900 - 324
r = 
r = 16 units
Answer:
And we can find this probability using the complement rule and the normal standard table:
And the best solution would be:
c. 0.3085
Step-by-step explanation:
For this case we can convert all the values to inches in order to standardize the solution:


Let X the random variable that represent the heights of US mens, and for this case we know the distribution for X is given by:
Where
and
We are interested on this probability
We can use the z score formula given by:
Using this formula we got:
And we can find this probability using the complement rule and the normal standard table:
And the best solution would be:
c. 0.3085
Answer:
6(2n-3)
Step-by-step explanation:
Factor out 6 from the expression
So Sahra is 3 times as old as her daugter. That means that the sum of their age is the daughters age times 4.
We can prove that by saying the daughters age is x. Sahra's age must be 3x. Their sum must be x+3x = 4x.
So to get the daughters age we divide the sum by 4, which is 8.