Answer:
Explanation:
There are only two mutually exclusive possibilities for each complex electronic system: being <em>defective</em> or being <em>not defective</em>:
- Number of complex electronic systems: 7
- Nmber of defective systems: 2
- Number of not defective systems: 5
<em>Probability </em>that no defective systems are found in the sample is the equal to the probability of selecting them consecutively without replacement and finding each one is not defective:
- Porbability the first is not defective × probability the second is not defective
- 5/7 × 4/6 = 20/42 = 10/21
The value of the variable x is 3/4
<h3>What are congruent segments</h3>
Congruent segment are segments with equal or congruent lengths.
From the information given, we have that line AB is approximately equal to line BC. This is represented as;
AB = BC
Where;
Now, let's equate the expressions
4x + 7 = 20x - 5
collect like terms
4x - 20x = - 5 - 7
- 16x = - 12
Make 'x' the subject of formula
x = -12/-16
x = 3/4
Thus, the value of the variable x is 3/4
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Given:
Per month fee = $55
One-time recital fee = $165
The equation represents the $495 total cost that Barbara paid to Dance Unlimited.
To find:
We need to find the number of month Barbara receive dance lessons from Dance Unlimited.
Solution:
We have,
Here, m is number of months. We need to isolate m.
Subtract 165 from both sides.
Divide both sides by 55.
The value of m is 6. So, the required number of month Barbara receive dance lessons from Dance Unlimited is 6.
Answer: x-6
Explanation: x^2 is a DOTS, or difference of two squares. 36 is a perfect square and x^2 is a perfect square, and you are finding the difference. Therefore, you can do (x+6)(x-6). This works with any number. If there was x^2-16, it could be factored to (x+4)(x-4)
The other factor is (y - 3). If you multiply the two terms together, you will end up with
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