Answer:
p = 92
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angle
p+45 = (p-47)+p
Combine like terms
p+45 = 2p-47
Subtract p from each side
p-p+45 = 2p-p-47
45 = p-47
Add 47 to each side
45+47 = p-47+47
92 = p
Answer:
y=3x-10
Step-by-step explanation:
gradient to the line y=3x+2 is same as that of the line passing through the point (2,-4)
gradient=3
( {y-(-4)}/{x-2} )=3
apply cross multiplication and the equation will be:y=3x-10
Answer:
1, this is a binomial experiment.
Step-by-step explanation:
this is a binomial experiment. Since it is general outcome, the probability of success is 0.50, that is 50 percent.
we have that X follows the binomial distribution
X ~ Binomial(n = 3, p = 0.50)
we have 3 outcomes( general, applied, theoretical).
mean = E(X)
= np
= 3(0.5)
= 1.5
standard deviation = σ = √np(1-p)
= √3(0.5)(1-0.5)
= √1.5(0.50)
= √0.75
= 0.8660
the mean = 1.5
the standard deviation = 0.8660
80 goes into 200 2 full times
80 + 80 = 160, if I add another 80, it goes to 220, which is too high
Answer:
A: a vertical shift 56 units upward I believe
