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3 years ago

5

What is the probability of rolling a number less than or equal to 8 with two dice, given that at least one of the dice must show

a 6?
A. 9/11
B. 4/11
C. 2/11
D. 7/11

1 answer:

navik [9.2K]3 years ago

5 0

The answer is C because you can only roll an 8 with a show of 6 when you roll 6 and 1 which gives 7 and 6 and 2 which gives 8

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Factor the quadratic expression in the equation y=2x^2+28x+96 and use the factors to find the zeros of the equation. Then, use t

gavmur [86]

Answer:

$x=-7$

Step-by-step explanation:

We have been given an equation $y=2x^2+28x+96$ . We are asked to find the zeros of equation by factoring and then find the line of symmetry of the parabola.

Let us factor our given equation as:

$2x^2+28x+96=0$

Dividing both sides by 2:

$x^2+14x+48=0$

Splitting the middle term:

$x^2+6x+8x+48=0$

$(x^2+6x)+(8x+48)=0$

$x(x+6)+8(x+6)=0$

$(x+8)(x+6)=0$

Using zero product property:

$(x+8)=0\text{ (or) }(x+6)=0$

$x+8=0\text{ (or) }x+6=0$

$x=-8\text{ (or) }x=-6$

Therefore, the zeros of the given equation are $x=-8\text{ (or) }x=-6$ .

We know that the line of symmetry of a parabola is equal to the x-coordinate of vertex of parabola.

We also know that x-coordinate of vertex of parabola is equal to the average of zeros. So x-coordinate of vertex of parabola would be:

$\frac{-8+(-6)}{2}=\frac{-14}{2}=-7$

Therefore, the equation $x=-7$ represents the line of symmetry of the given parabola.

4 0

3 years ago

What is the answer to this question?

forsale [732]

Answer:

c = 83

b = 79

a = 101

d = 97

.

.........................

5 0

2 years ago

If 5x – 4 = 31, what is the value of x?

Lunna [17]

Answer:

x = 5 $\frac{2}{5}$

Step-by-step explanation:

Hi there!

So, to answer this problem, I'll use the reverse method.

31 - 4 = 27,

So how many times, can 5 go into 27?

The closest factor of 5 to 27 is 25.

5 can go in to 27, 5 times.

Continuing on, there is a 2 left over, so the answer to your question is

x = 5 $\frac{2}{5}$

5 · 5 $\frac{2}{5}$ - 4 = 31

Let me know if I am incorrect and I will attempt to find the right answer for you.

<em>waffletowne</em>

7 0

3 years ago

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Which equation represents this situation?

Tatiana [17]

The answer would be h+(h+2.5)=22
The h represents Williams hours and the h+22 represents jose's hours. Together, they add to 22 hours :)
Hope this helps!

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3 years ago

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Is 16% of 40 the same as 40% of 16

Naddika [18.5K]

Answer:

no bc they r swapped and 40 is higher

Step-by-step explanation:

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3 years ago