Answer:
A. Yes, the table shows a probability distribution.
Step-by-step explanation:
In a probability distribution, none of the values can be negative or over 1. Additionally, all of the values must sum to 1.
Our probabilities are:
0.087; 0.328; 0.416; and 0.169. None of these are negative and none are over 1.
0.087+0.328+0.416+0.169 = 1.00; this means that this is a probability distribution.
The expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
Solution:
Given expressions are 15t – 2t and 2t – 15t.
To determine 15t – 2t is equivalent to 2t – 15t or not.
Substitute t = 2 in above two expressions.
15t – 2t = 15(2) – 2(2)
= 30 – 4
= 26
2t – 15t = 2(2) – 15(2)
= 4 – 30
= –26
The values of the expressions are different when t = 2.
So, 15t – 2t is not equivalent to 2t – 15t.
Hence the expression 15t – 2t not equivalent to 2t – 15t because the negative sign in 15t – 2t belongs to the term 2t.
Answer:
BC = 96
Step-by-step explanation:
Since AD is an altitude, then ∠ ADC = 90° , thus
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
Thus
BC = BD + DC
= 2x + 3x - 4
= 5x - 4
= 5(20) - 4 = 100 - 4 = 96
Answer:
125 - n
Step-by-step explanation:
n is unknown.
The exterior angle at the intersection of the tangent and secant has a measure that is half the difference between the intercepted arcs.
... ((10x+20) -80)/2 = 2x+15
... 5x -30 = 2x +15
... 3x = 45
... x = 15
So, the unknown arc to the right has measure
.. 10x + 20 = 10·15 +20 = 170
And the arcs of the circle total 360°.
... 80 + z + 170 = 360
... z = 360 - 250 = 110 . . . subtract 250 from both sides
The appropriate choice for the value of z is
... B. 110
