Answer:
30
Step-by-step explanation:
3 pieces each 1 dekameter long
1 dekameter = 10 meters
Convert dekameters to meters
3 pieces each 10 meters long
Multiply
Glenn has 30 meters of lanyard
Divide
He can cut 30 1-meter pieces
Hope this helps :)
Answer:
Step-by-step explanation:
In the given division, when 24.725 is divided by 215,
Step 1 is the wrong step.
Quotient in first step will be 0.1 .
Part C.
215) 24.725 (0.115
<u> 215</u>
322
<u>215</u>
1075
<u>1075</u>
0
Therefore, the correct way to divide should be as agove.
Quotient after division should be 0.115.
(14 meter/sec) x (1 mile/1609.344 meter) x (3,600 sec/hour) =
(14 x 3600) / (1609.344) = <em>31.32 mile/hour </em>(rounded)
Answer:
Probability of stopping the machine when 
is 0.0002
Probability of stopping the machine when 
is 0.0013
Probability of stopping the machine when 
is 0.0082
Probability of stopping the machine when 
is 0.0399
Step-by-step explanation:
There is a random binomial variable 
that represents the number of units come off the line within product specifications in a review of 
Bernoulli-type trials with probability of success 
. Therefore, the model is 
. So:
![P (X < 9) = 1 - P (X \geq 9) = 1 - [{15 \choose 9} (0.91)^{9}(0.09)^{6}+...+{ 15 \choose 15}(0.91)^{15}(0.09)^{0}] = 0.0002](https://tex.z-dn.net/?f=%20P%20%28X%20%3C%209%29%20%3D%201%20-%20P%20%28X%20%5Cgeq%209%29%20%3D%201%20-%20%5B%7B15%20%5Cchoose%209%7D%20%280.91%29%5E%7B9%7D%280.09%29%5E%7B6%7D%2B...%2B%7B%2015%20%5Cchoose%2015%7D%280.91%29%5E%7B15%7D%280.09%29%5E%7B0%7D%5D%20%3D%200.0002%20)
![P (X < 10) = 1 - P (X \geq 10) = 1 - [{15 \choose 10}(0.91)^{10}(0.09)^{5}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0013](https://tex.z-dn.net/?f=%20P%20%28X%20%3C%2010%29%20%3D%201%20-%20P%20%28X%20%5Cgeq%2010%29%20%3D%201%20-%20%5B%7B15%20%5Cchoose%2010%7D%280.91%29%5E%7B10%7D%280.09%29%5E%7B5%7D%2B...%2B%7B15%20%5Cchoose%2015%7D%20%280.91%29%5E%7B15%7D%280.09%29%5E%7B0%7D%5D%20%3D%200.0013%20)
![P (X < 11) = 1 - P (X \geq 11) = 1 - [{15 \choose 11}(0.91)^{11}(0.09)^{4}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0082](https://tex.z-dn.net/?f=%20P%20%28X%20%3C%2011%29%20%3D%201%20-%20P%20%28X%20%5Cgeq%2011%29%20%3D%201%20-%20%5B%7B15%20%5Cchoose%2011%7D%280.91%29%5E%7B11%7D%280.09%29%5E%7B4%7D%2B...%2B%7B15%20%5Cchoose%2015%7D%20%280.91%29%5E%7B15%7D%280.09%29%5E%7B0%7D%5D%20%3D%200.0082)
![P (X < 12) = 1- P (X \geq 12) = 1 - [{15 \choose 12}(0.91)^{12}(0.09)^{3}+...+{15 \choose 15} (0.91)^{15}(0.09)^{0}] = 0.0399](https://tex.z-dn.net/?f=%20P%20%28X%20%3C%2012%29%20%3D%201-%20P%20%28X%20%5Cgeq%2012%29%20%3D%201%20-%20%5B%7B15%20%5Cchoose%2012%7D%280.91%29%5E%7B12%7D%280.09%29%5E%7B3%7D%2B...%2B%7B15%20%5Cchoose%2015%7D%20%280.91%29%5E%7B15%7D%280.09%29%5E%7B0%7D%5D%20%3D%200.0399%20)
Probability of stopping the machine when is 0.0002
Probability of stopping the machine when is 0.0013
Probability of stopping the machine when is 0.0082
Probability of stopping the machine when is 0.0399
