Answer:
SA = 108 ft^2
Step-by-step explanation:
The front and back faces are triangles with 4 ft base and 3 ft height.
The three sides are rectangles with dimensions 4 ft by 8 ft, 8 ft by 5 ft, and 3 ft by 8 ft.
The surface area is the sum of the areas of the two triangles and the three rectangles.
SA = 2 * (1/2)(4 ft * 3 ft) + 4 ft * 8 ft + 8 ft * 5 ft + 3 ft * 8 ft
SA = 12 ft^2 + 32 ft^2 + 40 ft^2 + 24 ft^2
SA = 108 ft^2
A constant of variation is only in the form ay=bx where b/a=constant so given any point y/x=constant let us check here by substituting x=1 and x=2
when x=1---> 2y=14,y=7 here y/x=7
when x=2--->2y=19,y=9.5 here y/x=4.75
so this equation is not constant of variation
let us check an equation of the form 3y=7x
when x=1--->y=7/3--->y/x=7/3
when x=2--->y=14/3---->y/x=7/3
so 3y=7x is a constant of variation
Length of DA: 90°
They are placed on a obtuse angle, which is 180° and DA are also placed on a right angle, so that means 180°-90°=90°
Length of AB: 180°
Their placed on a obtuse angle, therefore it will just be 180°
ADF=BDE because, both of them are right angles. This means their degrees will equal (90°=90°).
Hopefully this helps, sorry if I turn out to be wrong!
Answer:
0.505 = 50.7% probability of a negative test.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
142 + 6 = 148 people tested positive. Of those, 142 had the disease and 6 did not.
7 + 145 = 152 people tested negative. Of those, 7 had the disease and 145 did not.
Find the probability of getting someone who tests negative, given that he or she did not have the disease.
This is the probability of a negative test.
152 negative tests out of 148 + 152 = 300
152/300 = 0.507
0.505 = 50.7% probability of a negative test.
