What is the LCM of 13 and 52
2 answers:
Answer:
52
Step-by-step explanation:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 13:
13, 26, 39, 52, 65, 78
Multiples of 52:
52, 104, 156
Therefore,
LCM(13, 52) = 52
Answer:
52
(also if u can, can u please answer my english question ive literally asked like 10 other people)
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Answer:
1665
Step-by-step explanation:
696
969+
_____
1665
Answer:
![x=-15.5](https://tex.z-dn.net/?f=x%3D-15.5)
Step-by-step explanation:
Write down what the problem is saying;
![6(x+9)=2(x-4)](https://tex.z-dn.net/?f=6%28x%2B9%29%3D2%28x-4%29)
Distribute;
![6(x+9)=2(x-4)\\\\(6)(x)+(9)(6)=(2)(x)+(2)(-4)\\](https://tex.z-dn.net/?f=6%28x%2B9%29%3D2%28x-4%29%5C%5C%5C%5C%286%29%28x%29%2B%289%29%286%29%3D%282%29%28x%29%2B%282%29%28-4%29%5C%5C)
Simplify,
![6x + 54 = 2x - 8](https://tex.z-dn.net/?f=6x%20%2B%2054%20%3D%202x%20-%208)
Inverse operations,
![6x + 54 = 2x - 8\\-2x\\\\4x + 54 = -8\\-54\\\\4x = - 62\\/4\\\\x =-15.5](https://tex.z-dn.net/?f=6x%20%2B%2054%20%3D%202x%20-%208%5C%5C-2x%5C%5C%5C%5C4x%20%2B%2054%20%3D%20-8%5C%5C-54%5C%5C%5C%5C4x%20%3D%20-%2062%5C%5C%2F4%5C%5C%5C%5Cx%20%3D-15.5)
Answer:
Following are the responses to the given question:
Step-by-step explanation:
![Sample \ size = n = 1013\\\\\mu = 3.01\\\\\sigma = 2.65](https://tex.z-dn.net/?f=Sample%20%5C%20size%20%3D%20n%20%3D%201013%5C%5C%5C%5C%5Cmu%20%3D%203.01%5C%5C%5C%5C%5Csigma%20%3D%202.65)
For point a:
Using formula:
![Z = \frac{(X - \mu)}{\sigma}\\\\X = 8\\\\Z = \frac{(8- 3.01)}{2.65} = 1.88\\\\](https://tex.z-dn.net/?f=Z%20%3D%20%5Cfrac%7B%28X%20-%20%5Cmu%29%7D%7B%5Csigma%7D%5C%5C%5C%5CX%20%3D%208%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B%288-%203.01%29%7D%7B2.65%7D%20%3D%201.88%5C%5C%5C%5C)
For point b:
![P(X](https://tex.z-dn.net/?f=P%28X%3C5%29%3D%3F%5C%5C%5C%5C%20x%20%3D%205%5C%5C%5C%5C%20Z%20%3D%20%5Cfrac%7B%28X%20-%20%5Cmu%29%7D%7B%5Csigma%7D%20%3D%20%5Cfrac%7B%285%20-3.01%29%7D%7B2.65%7D%20%3D%200.7509434%5C%5C%5C%5CP%28Z%3C%200.7509434%29%20%3D%200.7736566%5C%5C%5C%5CP%28X%3C5%29%20%3D%20P%28Z%3C%200.7509434%29%20%3D%200.7736566)
For point c:
![X=? \\\\Z = 1\\\\\text{Formula for X score:}\\\\X = \mu + Z \times \alpha\\\\X = 3.01 + 1\times 2.65 = 3.01 + 2.65 = 5.66](https://tex.z-dn.net/?f=X%3D%3F%20%5C%5C%5C%5CZ%20%3D%201%5C%5C%5C%5C%5Ctext%7BFormula%20for%20X%20score%3A%7D%5C%5C%5C%5CX%20%3D%20%5Cmu%20%2B%20Z%20%5Ctimes%20%5Calpha%5C%5C%5C%5CX%20%3D%203.01%20%2B%201%5Ctimes%202.65%20%3D%203.01%20%2B%202.65%20%3D%205.66)
For point d:
![P(1 \leq X \leq 6)=? \\\\P(1 \leq X \leq 6) = P(X \leq 6) - P(X\leq 1) = P(X< 6) - P(X](https://tex.z-dn.net/?f=P%281%20%5Cleq%20X%20%5Cleq%206%29%3D%3F%20%5C%5C%5C%5CP%281%20%5Cleq%20X%20%5Cleq%206%29%20%3D%20P%28X%20%5Cleq%206%29%20-%20P%28X%5Cleq%201%29%20%3D%20P%28X%3C%206%29%20-%20P%28X%3C1%29%5C%5C%5C%5C%5Ctext%7BZ%20score%20for%20x%7D%20%3D%206%5C%5C%5C%5CZ%20%3D%20%5Cfrac%7B%286%20-%203.01%29%7D%7B2.65%7D%20%3D%201.128301887%20%5C%5C%5C%5CP%28Z%3C%201.128301887%29%20%3D%200.870403777%20%5C%5C%5C%5CP%28X%3C6%29%20%3D%20P%28Z%3C%201.128301887%29%20%3D%200.870403777%20%5C%5C%5C%5C%5Ctext%7BZ%20score%20for%20x%7D%20%20%3D%201%20%5C%5C%5C%5C)
15,000
3 multiplied by 5,000 is 15,000