You can use the pythagorean theorem. Make sure that you put the measurements in the right places though. Since 11 is the measure of the hypotenuse, 11 has to be c. When you plug in the information that you have, it should look like this:
8^2 + b^2 = 11^2
Square 8 and 11.
64 + b^2 = 121
Subtract 64 from 121
121 - 64 = 57
The new equation is:
b^2 = 57
Now take the square root of both sides to get b by itself.
b = about 7.5
Answer: The height of the triangle is 7.5
***** Note: I rounded the answer ********************************************
Answer:
x = - 5
Step-by-step explanation:
Given
f(x) = - 4x - 10 and f(x) = 10, the equate right sides, that is
- 4x - 10 = 10 ( add 10 to both sides )
- 4x = 20 ( divide both sides by - 4 )
x = - 5
D=event that chip selected is defective
d=event that chip selected is NOT defective
Four possible scenarios for the first two selections:
P(DDD)=15/100*14/99*13/98=13/4620
P(DdD)=15/100*85/99*14/98=17/924
P(dDD)=85/100*15/99*14/99=17/924
P(ddD)=85/100*84/99*15/98=17/154
Probability of third selection being defective is the sum of all cases,
P(XXD)=P(DDD)+P(DdD)+P(dDD)+P(ddD)
=3/20
|-5| is greater than |-2| because |-5| is 5 and |-2| is 2 and 5 is greater than 2.
According to the empirical rule, roughly 68% of the scores fall between z = -1 and z = 1
You can use a calculator to get a more approximate answer. If you have a TI calculator, you can use the "normalcdf" function to type in normalcdf(-1,1)
