<h3>Given</h3>
trapezoid PSTK with ∠P=90°, KS = 13, KP = 12, ST = 8
<h3>Find</h3>
the area of PSTK
<h3>Solution</h3>
It helps to draw a diagram.
∆ KPS is a right triangle with hypotenuse 13 and leg 12. Then the other leg (PS) is given by the Pythagorean theorem as
... KS² = PS² + KP²
... 13² = PS² + 12²
... PS = √(169 -144) = 5
This is the height of the trapezoid, which has bases 12 and 8. Then the area of the trapezoid is
... A = (1/2)(b1 +b2)h
... A = (1/2)(12 +8)·5
... A = 50
The area of trapezoid PSTK is 50 square units.
69.1 is already a decimal.
Answer:
7:11
Step-by-step explanation:
You place the numbers in the order given.
70:110
Then reduce it to the lowest term. In this case by 10.
70 ÷10=7
110÷10=11Therefore, the answe is
7:11
The answer for this is 38
Answer:
a) Expected value of the mean = 0.793 percent
b) Standard error = 0.019 percent.
Step-by-step explanation:
Given
mean = μ = 0.793 percent
Standard deviation = σ = 0.114 percent
a) The sample mean is related to the population mean through
μₓ = μ = 0.793 percent
Hence, the expected value of the sample mean = 0.793 percent.
b) The standard error is given as
Standard error = σ/√n
where n = sample size = 36
Standard error = (0.114/√36)
Standard Error = 0.019 percent.
Hope this Helps!!!
