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olasank [31]
3 years ago
7

A box contains seven action, six comedies, eight dramas, and five science fiction films. Find the probability of choosing a come

dy, putting it back, a science fiction, putting it back and then choosing a comedy.
Mathematics
1 answer:
Alexandra [31]3 years ago
7 0
The answer is 6/26*5/26*6/26 = 45/4394<span>
</span>
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Solve the system by elimination. <br> -2x+2y+3z=0<br> -2x-y+z=-3<br> 2x+3y+3z=5
KengaRu [80]
-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0 → 2x - 2y - 3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -  1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5            -3y - 2z = -3

-2x + 2y +  3z = 0 → 2x - 2y -   3z = 0
-2x -   1y +  1z = -3 → 2x + 1y -    1z = 3 → 2x + 1y -   1z = 3
2x +   3y + 3z = 5 →  2x + 3y + 3z = 5 → 2x + 3y + 3z = 5
                                                                           -2y - 4z = -2

-3y - 2z = -3 → -6y - 4z = -6
-2y - 4z = -2 → -2y - 4z = -2
                                 -4y = -4
                                  -4     -4
                                     y = 1

  -3y - 2z = -3
-3(1) - 2z = -3
   -3 - 2z = -3
 + 3          + 3
         -2z = 0
          -2    -2
            z = 0

    -2x + 2y + 3z = 0
-2x + 2(1) + 3(0) = 0
       -2x + 2 + 0 = 0
             -2x + 2 = 0
                    - 2  - 2
                    -2x = -2
                     -2     -2
                       x = 1
              (x, y, z) = (1, 1, 0)
8 0
3 years ago
What is the value of x in the equation 2x + 3y = 36, when y = 6?
amm1812

Answer:

9

Step-by-step explanation:

When plugging 6 in for y, you get  

2x + 3(6) = 36

You have to multiply 3 and 6, getting

2x + 18 = 36.

Now, you subtract 18 from both sides to isolate the x variable, getting

2x = 18

Now, you divide 2 from both sides because we want x standing by itself, getting

x = 9

Therefore, your answer is 9.

Hope this helped

ps accepting brainliest ;)

3 0
3 years ago
Read 2 more answers
F(x)=4^-x after a translation 6 units up
Olin [163]

Answer:

Step-by-step explanation:

6 0
2 years ago
Translate the figure 5 units up. Then decide if each statement about translated figures is true or false,
m_a_m_a [10]

Answer:

First, second, and third are true.

Fourth is false.

Step-by-step explanation:

1. When we're translating a figure, everything about the figure stays the same except its location on the coordinate plane. The side lengths, the angle measures, and parallel sides will not change.

2. The fourth one is false because two figures/objects are congruent if they have the same shape and size. Since translation only affects the location on a coordinate plane, the original and final figure are congruent.

5 0
3 years ago
From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s
Mnenie [13.5K]

<u>Supposing 60 out of 100 scores are passing scores</u>, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of \alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of \frac{1+\alpha}{2}.

60 out of 100 scores are passing scores, hence n = 100, \pi = \frac{60}{100} = 0.6

95% confidence level

So \alpha = 0.95, z is the value of Z that has a p-value of \frac{1+0.95}{2} = 0.975, so z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

  • The lower limit is 0.5.
  • The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0
2 years ago
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