Answer:
Step-by-step explanation:
To find slope using two points you need to find the difference in x and y. You use 
So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
<span>First we need to find the GCF (greatest common factor)</span>
<span>Factors of 42 are:
1, 2, 3, 6, 7, 14, 21, 42</span>
<span>Factors of 48 are:
1, 2, 3, 4, 6, 8, 12, 16, 24, 48</span>
<span>GCF is 6</span>
<span>To simplify you divide numerator and denominator into the GCF</span>
<span>42 ÷ 6 = 7</span>
<span>48 ÷ 6 = 8</span>
<span>42/48 = 7/8</span>
<span>Hope this helps. :)
</span>
Answer:
0.0838 (8.62%)
Step-by-step explanation:
defining the event G= an out-of-state transaction took place in a gasoline station , then the probability is
P(G) = probability that the transaction is fraudulent * probability that took place in a gasoline station given that is fraudulent + probability that the transaction is not fraudulent * probability that took place in a gasoline station given that is not fraudulent = 0.033 * 0.092 + 0.977 * 0.034 = 0.0362
then we use the theorem of Bayes for conditional probability. Defining also the event F= the transaction is fraudulent , then
P(F/G)=P(F∩G)/P(G) = 0.033 * 0.092 /0.0362 = 0.0838 (8.62%)
where
P(F∩G)= probability that the transaction is fraudulent and took place in a gasoline station
P(F/G)= probability that the transaction is fraudulent given that it took place in a gasoline station
