Answer:
0.1137= 11.37%
Step-by-step explanation:
Assuming there are 365 days in one year and every people have 1 birthday, then the chance for two people to have the same birthday is 1/365 and the chance they are not is 364/365. We are asked the chance for at least one match among 44 people. The opposite of the condition is that we have 0 matches and easier to calculate. The calculation will be:
P(X>=1)= ~P(X=0) = 1
P(X>=1)=- P(X=0)
P(X>=1)=1 - (364/365)^44
P(X>=1)=1- 0.8862
P(X>=1)=11.37%
Answer:
This question does not make since.
Step-by-step explanation:
Answer:
51 m^2
Step-by-step explanation:
The shaded area is the difference between the area of the overall figure and that of the rectangular cutout.
The applicable formulas are ...
area of a triangle:
A = (1/2)bh
area of a rectangle:
A = bh
area of a trapezoid:
A = (1/2)(b1 +b2)h
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We note that the area of a triangle depends only on the length of its base and its height. The actual shape does not matter. Thus, we can shift the peak of the triangular portion of the shape (that portion above the top horizontal line) so that it lines up with one vertical side or the other of the figure. That makes the overall shape a trapezoid with bases 16 m and 10 m. The area of that trapezoid is then ...
A = (1/2)(16 m + 10 m)(5 m) = 65 m^2
The area of the white internal rectangle is ...
A = (2 m)(7 m) = 14 m^2
So, the shaded area is the difference:
65 m^2 -14 m^2 = 51 m^2 . . . . shaded area of the composite figure
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<em>Alternate approach</em>
Of course, you can also figure the area by adding the area of the triangular "roof" to the area of the larger rectangle, then subtracting the area of the smaller rectangle. Using the above formulas, that approach gives ...
(1/2)(5 m)(16 m - 10 m) + (5 m)(10 m) - (2 m)(7 m) = 15 m^2 + 50 m^2 -14 m^2
= 51 m^2
Answer:learn your self
Step-by-step explanation:
Lol
Answer: y+3 = 4( x + 1)
Step-by-step explanation:
The equation in point slope form is given as :
y - 
= m ( x - 
) , where m is the slope
slope = 4
point given : (-1,-3)
Using the formula :
y - = m ( x - )
and substituting the value , we have
y - (-3) = 4 (x -{-1} )
y+3 = 4( x + 1)
