Mixed=whole+fraction
15/8=8/8+7/8=1+7/8=1 and 7/8
Answer:
772.4 ft^2
Step-by-step explanation:
find the area of each face. first the slanted rectangle. the dimensions of the slanted rectangle are 21.7ft by 12ft. so the area is 21.7*12=260.4ft^2. for the two triangles on the sides, each on has an area of 20*8.5/2=85. next for the smaller rectangle, the dimensions are 12ft by 8.5ft giving us an area of 102 ft^2. lastly for the base, it has dimensions of 20ft by 12ft giving us an area of 240ft^2. now you just add up all the areas: 260.4+85+85+102+240=772.4 (you might want to check my addition just in case)
Answer:
Option B k > 0
Step-by-step explanation:
we know that
Observing the graph
The slope of the line is positive
The y-intercept is negative
we have
![3y-2x=k(5x-4)+6\\ \\3y=5kx-4k+6+2x\\ \\3y=[5k+2]x+(6-4k)\\ \\y=\frac{1}{3}[5k+2]x+(2-\frac{4}{3}k)](https://tex.z-dn.net/?f=3y-2x%3Dk%285x-4%29%2B6%5C%5C%20%5C%5C3y%3D5kx-4k%2B6%2B2x%5C%5C%20%5C%5C3y%3D%5B5k%2B2%5Dx%2B%286-4k%29%5C%5C%20%5C%5Cy%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5Dx%2B%282-%5Cfrac%7B4%7D%7B3%7Dk%29)
The slope of the line is equal to
![m=\frac{1}{3}[5k+2]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B1%7D%7B3%7D%5B5k%2B2%5D)
Remember that the slope must be positive
so

The value of k is greater than -2/5
Analyze the y-intercept

1.5 is greater than zero
so
the solution for k is the interval ------> (1.5,∞)
therefore
must be true
k > 0
Answer:
probability that a randomly selected page that contains only text will contain no typos that is
P(x=0) =
= 0.923
Step-by-step explanation:
<u>Poisson distribution</u>:-
Explanation of the Poisson distribution :-
The Poisson distribution can be derived as a limiting case of the binomial
distribution under the conditions that
i) p is very small
ii) n is very large
ii) λ = np (say finite
The probability of 'r' successes = 
Given the average number of typos ∝ = 0.08 per page.
probability that a randomly selected page that contains only text will contain no typos that is = 
After calculation P(x=0) =
= 0.923
probability that a randomly selected page that contains only text will contain no typos =0.923