Answer:
The correct answer is 1.
Step-by-step explanation:
In order to solve the problem 
+ 
, we need can use two methods.
Method 1: Make the denominators the same.
3/9 + 2/3 =
3/9 + 6/9 =
9/9 =
1
Method 2: Turn both fraction into decimals (<em>by dividing the numerator by the denominator</em>.)
3/9 or 3 ÷ 9 = 0.3 (when rounded to the nearest tenth)
2/3 or 2 ÷ 3 = 0.7 (when rounded to the nearest tenth)
0.3 + 0.7 = 1
Therefore, the answer to this question is 1.
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)
Trapezoidal is involving averageing the heights
the 4 intervals are
[0,4] and [4,7.2] and [7.2,8.6] and [8.6,9]
the area of each trapezoid is (v(t1)+v(t2))/2 times width
for the first interval
the average between 0 and 0.4 is 0.2
the width is 4
4(0.2)=0.8
2nd
average between 0.4 and 1 is 0.7
width is 3.2
3.2 times 0.7=2.24
3rd
average betwen 1.0 and 1.5 is 1.25
width is 1.4
1.4 times 1.25=1.75
4th
average betwen 1.5 and 2 is 1.75
width is 0.4
0.4 times 1.74=0.7
add them all up
0.8+2.24+1.75+0.7=5.49
5.49
t=time
v(t)=speed
so the area under the curve is distance
covered 5.49 meters
Answer:
6
Step-by-step explanation:
Think of it as a ratio. The recipe calls for 2:3. If Jason used 4, then you need to match the other side.
4/2=2
So you need to multiply 3 by 2 to find the match.
3x2=6
The ratio is 4:6, so Jason uses 6 teaspoons of baking powder.
-hope it helps
