Answer: Option C
Step-by-step explanation:
The graph is of the quadratic equation is a parabola.
The parabola intercepts the x-axis when .
Then, you need to substitute into the equation:
Factor the quadratic equation: find two number that when you add them you get 2 that when you multiply them you get -8. In this case these numbers are -2 and 4. Then:
Therefore, the x-intercepts are:
(-4,0) and (2,0)
The probability of both children receiving a tablet is 15%.
We have given that
Age of Children P(Tablet) P(Laptop)
Less than 10 0.3 0.02
10-17 0.5 0.4
<h3>What is the probability?</h3>
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Probability of both children receiving a tablet is
0.3*0.5 = 0.15 = 15%
Therefore, the probability of both children receiving a tablet is 15%
Therefore option b is correct.
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Answer:
Angela is 13 years old and Angela's aunt is 41 years old.
Step-by-step explanation:
With the information provided you know that Angela's aunt is two more than three times her age, which could be expressed as:
x=3y+2, where:
x is Angela's aunt age
y is Angela's age
Also, you know that the total of their ages is 54, which is:
x+y=54
Now, you can replace x=3y+2 in x+y=54 and solve for y:
3y+2+y=54
4y=54-2
4y=52
y=52/4
y=13
Finally, you can replace the value of y in x=3y+2 to find x:
x=3(13)+2
x=39+2
x=41
According to this, the answer is that Angela is 13 years old and Angela's aunt is 41 years old.
Answer:
Cos a
=opposite/hypotenuse=9/3√13
=3/√13=3√13/13
Sin a
=Adjacent/hyp=6/3√13
=2/√13=2√13/13
Tan a=opposite/adjacent=9/6
=3/2