Answer: 
Step-by-step explanation:
Given
Survey shows that 16% of college students have dogs and 38% have HBO subscription
Probability that a random person have both is
![\Rightarrow P_o=0.16\times 0.38\quad [\text{As both events are independent}]\\\Rightarrow P_o=0.0608](https://tex.z-dn.net/?f=%5CRightarrow%20P_o%3D0.16%5Ctimes%200.38%5Cquad%20%5B%5Ctext%7BAs%20both%20events%20are%20independent%7D%5D%5C%5C%5CRightarrow%20P_o%3D0.0608)
The probability that the random person has neither of the two is

Firstly you need to to reduce to a common denominator by multiplYing the whole fraction. This way you have to multiply 4/5 by 2 (both numerator and denominator). so 4/5 = 8/10. And now you have 8/10 and 9/10. You compare only numerators. This way you have 8/10 <9/10. Same goes for 2/3 and 5/8. Only here you need to multiply both fractions. The common denominator here is 24. So you have to multiply 2/3 by 8 and 5/8 by 3. You now have to compare 16/24 and 15/24. 16/24>15/24.
Answer:
x = 2.66666667
Step-by-step explanation:
3(x + 1) = 11
We multiply both x and 1 by 3 and get
3x + 3 = 11
Now we subtract 3 from both sides
3x + 3 - 3 = 11 - 3
3x = 8
Now divide both sides by 3
3x/3 = 8/3
x = 2.66666667
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Answer:
If you have a general point (x, y), and you reflect it across the x-axis, the coordinates of the new point will be:
(x,-y)
So we only change the sign of the y-component.
Now, if we do a reflection across the x-axis of a whole figure, then we apply the reflection to all the points that make the figure.
Then, we could just apply the reflection to the vertices of the square, then graph the new vertices, and then connect them, that is equivalent to graph the image of the square after the reflection.
The original vertices are:
C = (-3, 7)
D = (0, 7)
E = (0, 10)
F = (-3, 10)
Now we apply the reflection, remember that this only changes the sign of the y-component, then the new vertices are:
C' = (-3, -7)
D' = (0, -7)
E' = (0, - 10)
F' = (0, - 10)
Now we need to graph these points and connect them to get the reflected figure, the image can be seen below.
Answer:
√g *√g = g
Step-by-step explanation:
recall that any number or variable to the power of 1/2 can also be written as that variable or number under the radical.
So, we then have
√g * √g
Recall that when we multiply radicals, we multiply what is under our radicals together and then combine them under a new radical
√g * √g = √(g * g)
This gives us √(g²)
recall that the square root of a number or variable squared will merely result in the number or variable by itself (as these are reciprocate equations)
√(g²) = g