Answer:
75
Step-by-step explanation:
All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50
The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.
The probability that the aircraft is overloaded is 0.6141; since this is a greater than 50% chance, the pilot should either reduce the number of passengers on the plane or require them to reduce their baggage.
The z-score for this is given by
z = (X-μ)/σ = (169-180.2)/38 = -11.2/38 = -0.29.
Using a z-table (http://www.z-table.com) we see that the probability of weights being less than this (the area to the left of this score) is 0.3859; to find the probability that the weight is greater than this (to the right), we subtract from 1:
1-0.3859 = 0.6141.
Answer: 4:12
Explanation:
DescriptionIn mathematics, a ratio indicates how many times one number contains another. For example, if there are eight oranges and six lemons in a bowl of fruit, then the ratio of oranges to lemons is eight to six.
The area of a rhombus can be found by using the formula:
A = (1/2)(d1)(d2)
Area = (1/2)(8)(6)
Area = 24 cm^2
Your other option is to remember that in a rhombus the diagonals bisect each other, and form right triangles. So you have 4 right triangles each with sides of 4 cm (1/2 of 8 cm) and 3 cm (1/2 of 6 cm). 4 x [(1/2) x (4)(3)] = 4 x 6 = 24 cm^2.