Answer:
The value of x is 20°
Step-by-step explanation:
Given that angle in a straight line is 180°. Then you can find the value of x:
55° + (6x+5)° = 180°
55° + 6x + 5° = 180
6x + 60° = 180°
6x = 180 - 60
6x = 120°
x = 20°
Mean number of errors in each page = 0.01
Mean number of errors in 100 pages = 0.01*100=1
It is possible to use the cumulative distribution function (CMF), but the math is a little more complex, involving the gamma-function. Tables and software are available for that purpose.
Thus it is easier to evaluate with a calculator for the individual cases of k=0,1,2 and 3.
The Poisson distribution has a PMF (probability mass function)


with λ = 1
=>




=>

or
P(k<=3)=
0.9810 (to four decimal places)
Answer:
300 squared feet.
Step-by-step explanation:
Area of a rectangle = length × breadth = 20 × 15 = 300 squared feet.
Answer:
46
Step-by-step explanation:
Segment WX = 23 by the 30 60 90 triangle theorem which states that the longer leg is sqrt3 times the length of the shorter leg.
Segment XY = 26 by the 30 60 90 triangle theorem that states the hypotenuse is twice the length of the shorter leg
Answer:
The number of meters Robert will beat Sam is 12 meters.
Step-by-step explanation:
Given:
When Paul crossed the finish line of a 60-meter race, he was ahead of Robert by 10 meters and ahead of Sam by 20 meters. Suppose Robert and Sam continue to race to the finish line without changing their rates of speed.
Find:
the number of meters by which Robert will beat Sam
Step 1 of 1
When Paul finishes, Robert has run 60-10=50 meters and Sam has run 60-20=40 meters.
Therefore, when Robert and Sam run for the same amount of time, Sam covers
of the distance that Robert covers. So, while Robert runs the final 10 meters of the race, Sam runs
meters.
This means Robert's lead over Sam increases by 2 more meters, and he beats Sam by 10+2=12 meters.