LCM of 6 and 12 is 6 because you reduce the two numbers with 2 and in the end, you get 3. So, you multiply the two numbers and you get 6.
104cm2
Just do 8x13 and you’ll get 104cm2 since we’re talking about area, multiply
Answer:
Hi There!
Your answer is:
<u>Length = 116</u>
<u>Width = 56</u>
Step-by-step explanation:
L= 4+ 2w
Width=w
perimeter formula
l+l+w+w= perimeter
Subsitute L for 4+2w
(4+2w)+(4+2w) + (w) + (w) = 344
8 +4w+w+w = 344
8+ 6w = 344
-8
6w = 336
/6
w= 56
PLUG BACK IN!
Length = 4+ 2w
Length = 4+ 2(56)
<u>Length = 116</u>
<u>Width = 56</u>
CHECK YOUR WORK
116+116+56+56= 344???
344 = 344 YES
HOPE THIS HELPS
Answer:
a. Mean = 6
Variance = 2.4
Standard Deviation = 1.55
b. P(X=16) = 0.124
Step-by-step explanation:
Given
n = Total shots = 10
p = Probability of success = 60%
p = 60/100
p= 0.6
q = Probability of failure
q = 1-p
q = 1 - 0.6
q = 0.4
a.
Mean = np
Mean = 10 * 0.6
Mean = 6
Variance = npq
Variance = 10 * 0.6 * 0.4
Variance = 2.4
Standard Deviation = √Variance
Standard Deviation = √2.4
Standard Deviation = 1.549193338482966
Standard Deviation = 1.55 --------- approximated
b.
We have X = 16
x = 10
Assume that the events "success" on the various throws are independent.
The 10th success came on the 16th attempt
So, the player had exactly 10 successes and 6 failures on 16th trial
So Probability = nCr 0.6^10 * 0.4^6
Where n = 15 and r = 9 (number of attempts and success before the 16th trial)
15C9 * 0.6^10 * 0.4^6
= 5005 * 0.0060466176 * 0.004096
= 0.123958563176448
= 0.124 ------ Approximated
Answer:
Find the LCD of the first two, then the LCD of that and the third one.
Step-by-step explanation:
You can do it by finding the LCD of two of the denominators, then the LCD of that and the third denominator.
Or, you can factor each of the denominators and find their LCM by multiplying the unique factors to their highest powers.
___
<u>Example:</u>
1/21 + 1/35 + 1/45
The LCD of 1/21 and 1/35 is (21·35)/5 = 105. The LCD of 1/105 and 1/45 is ...
(105·45)/15 = 315
__
Using factoring ...
- 21 = 3·7
- 35 = 5·7
- 45 = 3²·5
LCD = 3²·5·7 = 315
