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Archy [21]
3 years ago
8

A certain 5-digit combination lock can be reset with a new combination. The lock uses numbers from 1 to 6. After a friend accide

ntally resets it to an unknown combination, what is the probability that you guess the combination that opens the lock
Mathematics
1 answer:
daser333 [38]3 years ago
5 0
The probability is (1/6)^5 power. Since the locks are independent of each other, you can multiply the probabilities together. There are 6 possible numbers for each lock and there are 5 locks. So the probability is (1/6)^5 power.<span />
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How much simple interest is earned on $5,000 at an interest rate of 2.2% in 3 years?
Artyom0805 [142]

Answer:

$330

Step-by-step explanation:

8 0
3 years ago
Find m∠H. Put the answer below.<br> m∠H =
Pavlova-9 [17]

Answer:

30°

Step-by-step explanation:

\tan (m\angle H) = \frac{IJ}{JH} \\  \\  \implies \: \tan (m\angle H) = \frac{  \sqrt{10}  }{ \sqrt{30} } \\  \\\implies \: \tan (m\angle H) = \frac{{1}  }{ \sqrt{3} }  \\  \\ \implies \: \tan (m\angle H) =  \tan 30 \degree \\  \\  \implies \: m\angle H =  \boxed{30} \degree

6 0
2 years ago
Graph the image of the given triangle under a dilation with a scale factor of −2 and center of dilation (0, 0) .
Ronch [10]

To dilate an object means to enlarge or reduce the size of the object. The scale factor will determine how much larger or smaller the object will become.  If this factor is greater than 1, the object will increase in size. Otherwise, if the factor is less than 1, the object will decrease in size. So, the dilated object will be similar to its original. On the other hand, when corresponding points of the original and dilated figures are connected by straight lines, the center of dilation is the point where all the lines meet. In this problem, the center is (0, 0). When the center is the origin we need to multiply all the original coordinates of the object by the scale factor given. So:


A(-4, 1) \rightarrow A'=-2(-4,1) \rightarrow A'(8,-2) \\ \\ B(-3, -4) \rightarrow B'=-2(-3,-4) \rightarrow B'(6,8) \\ \\ C(-2, -2) \rightarrow C'=-2(-2,-2) \rightarrow C'(4,4)


So, the graph of the dilated triangle is shown in the Figure below

8 0
3 years ago
Read 2 more answers
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olga2289 [7]

Answer:

-1/2

Step-by-step explanation:

The slope is the change in y over the change in x.

\frac{y_{2} -y_{1} }{x_{2} -x_{1} }

For this question:

\frac{3-(-3)}{-4-8} =\frac{6}{-12} =-\frac{1}{2}

4 0
3 years ago
Read 2 more answers
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ki77a [65]

Answer:

Width = 44.45 inches

Height = 25.00 inches

Step-by-step explanation:

(16x)^2 + (9x)^2 = 51^2

256x^2 + 81x^2 = 2601

337x^2 = 2601

x^2 = 7.718

x = 2.778

Width = 44.45 inches

Height = 25.00 inches

I think this is right

7 0
3 years ago
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