Answer:
P(X=0) = 0.7158
P(X=1) = 0.2684
P(X=2) =0.0158
Step-by-step explanation:
Number of defective laptops = 3
Number of normal laptops = 17
If the school chooses 2 laptops from this lot, the number of defectives (X) could be 0, 1, or 2.
For zero defectives:
For one defective:
For two defectives:
<h3>
Answer: 1046</h3>
=====================================================
Explanation:
The fancy or strange looking E symbol is the greek uppercase letter sigma, to mean sum. So they want you to add the terms in the form x^2. The x values are from the list given to us.
x = 16 leads to x^2 = 256
x = 13 leads to x^2 = 169
etc etc
After squaring all the x values, we have this new list {256, 169, 25, 400, 196}
Lastly, you add up all the squared values to get the final answer of 256+169+25+400+196 = 1046
Answer:
43
Step-by-step explanation:
angle sum property of quadrilateral
87+ 103 + 127+ x = 360
317 + x = 360
x= 360-317
x = 43
To find out if there is point where the graphs intersect simply plug in one equation for another,
y = 4x + 3
Y = -x^2 - 1.
4x + 3 = -x^2 - 1
Then solve
4x + 3 = -x^2 - 1
X^2 + 4x + 3 = -1
X^2 + 4x + 4 = 0.
(X+2)(x+2) = 0.
There is one solution X = -2. To solve for the y coordinate plug X = -2 to any of the above equations, easier for the first one.
Y = 4x + 3
Y = 4(-2) + 3
Y = -8 + 3
Y = -5.
Point - P(-2,-5). Plug these points in both original equations and if in each the left side is equal to the right, then that is the point of intersection. Basically the graph intersects once.
Answer:
The probability would be 5/15 or 1/3
Total = 7+3+5
= 15
yellow = 3
orange = 7
blue marbles = 5
