Answer:
5 units
Step-by-step explanation:
Image of the trapezoid is attached.
To find the height of the trapezoid (image attached), let's take the formula for area of a trapezoid.
The formula for area of a trapezoid is:
Here, a and b represents the bases of the trapezoid.
a = 6
b = 10
h which represents height is unknown.
A = 40
Substitute figures:
Solve for h:
The height of the trapezoid is 5 units
Answer: 0.5
Step-by-step explanation:
Given : Adult male heights have a normal probability distribution .
Population mean :
Standard deviation:
Let x be the random variable that represent the heights of adult male.
z-score :
For x=70, we have
Now, by using the standard normal distribution table, we have
The probability that a randomly selected male is more than 70 inches tall :-
Hence, the probability that a randomly selected male is more than 70 inches tall = 0.5
Answer:
x = 27
Step-by-step explanation:
ΔBRD and ΔQCD are similar, hence the ratios of corresponding sides are equal, that is
=
note that BD = 26 + 39 = 65
substitute values into the ratio equation
=
( cross- multiply )
65x = 39(x + 18)
65x = 39x + 702 ( subtract 39x from both sides )
26x = 702 ( divide both sides by 26 )
x = 27