To round to the nearest ten million, you look at the millions digit. In this case, the millions digit is 1, which is less than 5, so you round the number down to 4,320,000,000.
Question 3
C(1, -7) D(-8, -7)
To find side length DC you count how many units are between the two points. C(1) D(-8) = 9 units
Question 1
Again count the points around the edge of the square. Since this shape is a rectangle, side length WX = YZ and side length XY = WZ.
WX = YZ = 11 units
XY = WZ = 15 units
Perimeter = WX + YZ + XY + WZ = 11(2) + 15(2) = 52 units
Answer: 135
Step-by-step explanation:
m<D+45=180
the measure of <D is 135
Answer:
The probability that the restaurant can accommodate all the customers who do show up is 0.3564.
Step-by-step explanation:
The information provided are:
- At 7:00 pm the restaurant can seat 50 parties, but takes reservations for 53.
- If the probability of a party not showing up is 0.04.
- Assuming independence.
Let <em>X</em> denote the number of parties that showed up.
The random variable X follows a Binomial distribution with parameters <em>n</em> = 53 and <em>p</em> = 0.96.
As there are only 50 sets available, the restaurant can accommodate all the customers who do show up if and only if 50 or less customers showed up.
Compute the probability that the restaurant can accommodate all the customers who do show up as follows:
![P(X\leq 50)=1-P(X>50)\\=1-P(X=51)-P(X=52)-P(X=53)\\=1-[{53\choose 51}(0.96)^{51}(0.04)^{53-51}]-[{53\choose 52}(0.96)^{52}(0.04)^{53-52}]\\-[{53\choose 53}(0.96)^{53}(0.04)^{53-53}]\\=1-0.27492-0.25377-0.11491\\=0.3564](https://tex.z-dn.net/?f=P%28X%5Cleq%2050%29%3D1-P%28X%3E50%29%5C%5C%3D1-P%28X%3D51%29-P%28X%3D52%29-P%28X%3D53%29%5C%5C%3D1-%5B%7B53%5Cchoose%2051%7D%280.96%29%5E%7B51%7D%280.04%29%5E%7B53-51%7D%5D-%5B%7B53%5Cchoose%2052%7D%280.96%29%5E%7B52%7D%280.04%29%5E%7B53-52%7D%5D%5C%5C-%5B%7B53%5Cchoose%2053%7D%280.96%29%5E%7B53%7D%280.04%29%5E%7B53-53%7D%5D%5C%5C%3D1-0.27492-0.25377-0.11491%5C%5C%3D0.3564)
Thus, the probability that the restaurant can accommodate all the customers who do show up is 0.3564.
Answer:
figure 1 - 10.5 unit^2
figure 2 - 12 unit^2
Step-by-step explanation:
<u>figure 1</u>
1. find the area of the rectangle
<em>3*2 = 6 unit^2</em>
2. find the area of the triangle
<em>(3*3)/2 = 4.5 unit^2</em>
3. add the area of the rectangle and the area of the triangle together. The sum would be the area of the trapezoid.
<em>6 + 4.5 = </em><u><em>10.5 unit^2</em></u>
<u>figure 2</u>
1. find the area of the rectangle
<em>2*4 = 8 unit^2</em>
2. find the area of both triangles
<em>(1*4)/2 = 2 unit^2</em>
3. add the area of the rectangle and the area of both triangles together. The sum would be the area of the trapezoid.
<em>8 + 2 + 2 = </em><u><em>12 unit^2</em></u>
