You would need 31 Vans for everyone to be transported.
The distance between the two points would be 20
Answer:
1) True 2) True 3) False 4) True
Step-by-step explanation:
In this question let's verify those options
1.Triangle A B C is inside triangle D E F. (true)
If A, B and C are midpoints of DEF then connecting those midpoints we have an interior triangle.
2. Point A is the midpoint of side F D, point B is the midpoint of side D E, point C is the midpoint of side F E. (true)
3. Angles D F E and A B C are right angles. (false)
These triangles are similar. And In this case, the right angles are:

D and C are opposed to the larger side, and not F, and B
Because:
4. The length of D E is 10 centimeters, the length of F D is 6 centimeters, and the length of F E is 8 centimeters. (true)
Let's test this by the Pythagorean Theorem. For DE is the hypotenuse and FD and FE is their legs.

Answer:
P (x= 5) = 0.0001
P(x=3) = 0.008699
Step-by-step explanation:
This is a binomial distribution .
Here p = 0.8 q= 1-p = 1-0.8 = 0.2
n= 15
So we find the probability for x taking different values from 0 - 15.
The formula used will be
n Cx p^x q^n-x
Suppose we want to find the value of x= 5
P (x= 5) = 15C5*(0.2)^10*(0.8)^5 = 0.0001
P(x=3) = 15C3*(0.2)^12*(0.8)^3 = 9.54 e ^-7= 0.008699
Similarly we can find the values for all the trials from 0 -15 by substituting the values of x =0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15.
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