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SIZIF [17.4K]
3 years ago
7

What is the probability of rolling a sum of 11 on a standard pair of six-sided dice? express your answer as a fraction or a deci

mal number rounded to three decimal places, if necessary?
Mathematics
1 answer:
FromTheMoon [43]3 years ago
8 0
I think it would have to be 5 and 6 because those two make up 11 when you add them. hope this helps

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2.<br>√3x + 7 + √x + 1 =2​
taurus [48]

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0
3 years ago
2y 4
Brums [2.3K]

Answer:

C

Step-by-step explanation:

C

8 0
3 years ago
Calculate the fraction:<br> 5x6/7<br><br> Plssss help solve...
Elena-2011 [213]

Answer:

4 2/ 7

Step-by-step explanation:

using a = a/1, convert the expression into fraction

5/1 x 6/7 to multiply the fractions, multiply the numerators and denominators separately

5x6/1x7 = 30/7 alternative form 4 2/7, 4.285714

6 0
3 years ago
Read 2 more answers
A bat and a ball cost one dollar and ten cents in total. The bat costs a dollar more than the ball. How much does the ball cost?
Aleks04 [339]
Set up an algebraic equation: b=cost of ball
1.10=1+b+b
1.10=1+2b
subtract 1 from both sides
.10=2b
divide by 2 on both sides
ball=5 cents
6 0
3 years ago
5a + 18 &lt; −27 pre algibra
Grace [21]

Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0
3 years ago
Read 2 more answers
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