√81=9
√16=4
-3(9)+4
-27+4
-23
Answer:
the slope is -1 over 4
y intercept is (0,-8)
Step-by-step explanation:
The mixture will test negative if the 6 individuall samples are negative.
Ther probability that one sample is negative is independent of the probabilities of the other samples.
Then, the probability of the six combined events (all negative) is equal to the product of the probabilities for each sample (each negative).
The probability for one sample to be negative is 1 - 0.11 = 0.89.
Then, the combined probability is [0.89]^ 6 = 0.497 ≈ 0.50
Answer: 0.50
Answer:
a= 1/2 and b= 1/2
Step-by-step explanation:
The given probability can be expressed in the form of binomial expansion where a= p and b= q
Therefore a= 1/2 and b= 1/2
For n= 8 trials the binomial expansion can be written as
[ p+q] ^n = [ 1/2+1/2]^8
=(1/2)^0(1/2)^8 +8C1(1/2)^7(1/2)+8C2(1/2)^6(1/2)^2+8C3(1/2)^5(1/2)^3+8C4(1/2)^4(1/2)^4+8C5(1/2)^3(1/2)^5+8C6(1/2)^2(1/2)^6+8C7(1/2)(1/2)^7+8C8(1/2)^0(1/2)^8
=
1(1/2)^0(1/2)^8 +8(1/2)^7(1/2)+28(1/2)^6(1/2)^2+56(1/2)^5(1/2)^3+70(1/2)^4(1/2)^4+56(1/2)^3(1/2)^5+28(1/2)^2(1/2)^6+8(1/2)(1/2)^7+1(1/2)^0(1/2)^8
=
1/(2)⁸ { 1+ 8+28+56+70+56+28+8+1}
= 1/(2)⁸ {256}
= 1
The total probability is always 1.
Also P+q= 1
1/2+1/2= 1
Answer:
228
Step-by-step explanation:
first we will find the area of the triangles on the sides of the prism.
(triangle area formula: (b*h)/2)
(6*5)/2 = 15
we multiply this by 2 since there are 2 sides that contain the same measures:
15*2 = 30
then we find the rectangles that are on the sides (not the base)
(rectangle formula: b*h)
11*6.5 = 71.5
multiply this by 2 since there are two sides:
71.5*2 = 143
finally we find the base using the same formula as we did to find the rectangles:
11*5 = 55
finally we add them all up:
30+143+55 = 228
hope this helps! :)