The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
- Pr(2 men are selected) = 7/12 * 7/12
- Pr(2 men are selected) = 49/144
Hence the probability that 2 men are selected is 49/144
Learn more on probabaility here:brainly.com/question/24756209
Answer:
Step-by-step explanation:
4x=12
x=12/4
x=3 answer
y=4*3=12 answer.
z=8-3=5 answer.
proof
3+12+5=20
20=20
The function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
<h3>Translation of functions</h3>
Translation is a technique used to change the position of an image on an xy-plane. Given the function below;
f(x) = x +2
If the expression is translation 2 units to the right, the translation rule will be:
g(x) = f(x )- 2
Substitute
g(x) = x + 2 - 2
g(x) = x
Hence the function g whose graph represents the indicated transformation of the graph of f(x)=x+2; translation 2 units right is g(x) = x
Learn more on translation here: brainly.com/question/12861087
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Answer:
q = -8, k = 2.
r = -6.
Step-by-step explanation:
f(x) = (x - p)^2 + q
This is the vertex form of a quadratic where the vertex is at the point (p, q).
Now the x intercepts are at -6 and 2 and the curve is symmetrical about the line x = p.
The value of p is the midpoint of -6 and 2 which is (-6+2) / 2 = -2.
So we have:
f(x) = 1/2(x - -2)^2 + q
f(x) = 1/2(x + 2)^2 + q
Now the graph passes through the point (2, 0) , where it intersects the x axis, therefore, substituting x = 2 and f(x) = 0:
0 = 1/2(2 + 2)^2 + q
0 = 1/2*16 + q
0 = 8 + q
q = -8.
Now convert this to standard form to find k:
f(x) = 1/2(x + 2)^2 - 8
f(x) = 1/2(x^2 + 4x + 4) - 8
f(x) = 1/2x^2 + 2x + 2 - 8
f(x) = 1/2x^2 + 2x - 6
So k = 2.
The r is the y coordinate when x = 0.
so r = 1/2(0+2)^2 - 8
= -6.
Answer:
1 Chair= $1.25 1 table= $8.25
Step-by-step explanation:
5c+3t=31
2c+6t= 52
-2(5c+3t=31)
-10c-6t=-62
+
2c+6t=52
= -8c=-10
/-8 /-8
c= 1.25 or 1 1/4
2c+6t=52
2(1.25)+6t=52
2.5+6t=52
-2.5 -2.5
6t= 49.5
/6 /6
t= 8 1/4
