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tatyana61 [14]
3 years ago
5

What is the distributive property of 12kn + 8k

Mathematics
1 answer:
Nata [24]3 years ago
8 0
The distributive property has the word distribute in it, so instead of writing the problem like that, you can distribute the numbers and rewrite it like:

4k(3n+2)
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The route used by a certain motorist in commuting to work contains two intersections with traffic signals. The probability that
tekilochka [14]

Answer:

a) P(X∩Y) = 0.2

b) P_1 = 0.16

c) P = 0.47

Step-by-step explanation:

Let's call X the event that the motorist must stop at the first signal and Y the event that the motorist must stop at the second signal.

So, P(X) = 0.36, P(Y) = 0.51 and P(X∪Y) = 0.67

Then, the probability P(X∩Y) that the motorist must stop at both signal can be calculated as:

P(X∩Y) = P(X) + P(Y) - P(X∪Y)

P(X∩Y) = 0.36 + 0.51 - 0.67

P(X∩Y) = 0.2

On the other hand, the probability P_1 that he must stop at the first signal but not at the second one can be calculated as:

P_1 = P(X) - P(X∩Y)

P_1 = 0.36 - 0.2 = 0.16

At the same way, the probability P_2 that he must stop at the second signal but not at the first one can be calculated as:

P_2 = P(Y) - P(X∩Y)

P_2 = 0.51 - 0.2 = 0.31

So, the probability that he must stop at exactly one signal is:

P = P_1+P_2\\P=0.16+0.31\\P=0.47

7 0
3 years ago
The<br> Calculate the perimeter of<br> Following Shape:<br> 8cm<br> 5cm
mina [271]

Answer:

where is your shape

Step-by-step explanation:

firstly give shape then we find out perimeter

na

7 0
3 years ago
Read 2 more answers
Factoring Trinomals (a=1)<br>b^2 + 8b + 7
yulyashka [42]
b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\\\=\boxed{(b+1)(b+7)}
4 0
3 years ago
A bag contains 10 tiles with the letters A, B, C, D, E, F, G, H, I, and J. Five tiles are chosen, one at a time, and placed in a
lora16 [44]
I assume in this item, we are to find at which step is the mistake done for the calculation of the unknown probability. 

For the possible number of arrangement of letter, n(S), the basic principles of counting should be used.
                       = 10 x 9 x 8 x 7 x 6 = 30,240

This is similar as to what was done in Meghan's work.

For the five tiles to spell out FACED, there is only one (1) possibility.

Therefore, the probability should be equal to 1/30,240 instead of the 1/252 which was presented in the steps above. 
8 0
3 years ago
Use the simple interest formula to find the ending balance.
frozen [14]
<span>$1025 * 0.06 * 5 
</span>
= 333.125
= 333.13

<span>$1025 + $333.13 = $1,358.13

answer: </span><span>ending balance $1,358.13</span>
6 0
3 years ago
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