Answer:
1. 0.1445
2. 0.3426
3. 0.6574
Step-by-step explanation:
Let L be the event that there is liquid in the bag
Let + the be event of a positive test.
we are given:
P(+ | L) = 0.99
P(+ | L') = 0.10
P(L) = 0.05
1. Find P(+), use the Law of Total Probability to do this:
P(+) = P(+|L)P(L) + P(+ | L')P(L')
= 0.99 * 0.05 + 0.1 * (1- 0.05)
= 0.1445
2. Find P( L | + ) = P( L ∩ + ) / P(+) . . . definition of conditional probability
= P( + | L ) P(L) / P(+) . . . again using definition of conditional probability
= 0.99 * 0.05 / 0.1445
= 0.3426
3. P( L' | + ) = 1 - P( L | + ) = 1 - 0.3426 = 0.6574
The triangle inequality says that, given a triangle, the sum of the lengths its two smaller sides must be at least the length of the largest side. Looks like we have a triangle whose sides measure 1.3 cm, 4.1 cm, and 8.4 cm. The two smaller sides are 1.3 cm and 4.1 cm, which add to 5.4 cm, but 5.4 is smaller than 8.4.
So no, these sides can't compose a triangle.
Answer:
Step-by-step explanation:
A line goes through the points (-2, 4) and (8, 9). We see that x increases by 10 and y increases by 5.
Thus, the slope of this line is m = rise / run = 5/10 = 1/2 (the slope)
Starting with the point slope equation y - k = m(x - h) and substituting 9 for y, 8 for x and 1/2 for m, we get:
y - 9 = (1/2)(x - 8) (point-slope form)
y = (1/2)x + 5 (slope-intercept form)
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The table that shows the relationship between Mexican pesos and U.S. dollars is
x y
0 0
20 400
50 1000
100 2000
<h3>What table shows the relationship?</h3>
Exchange rate is the rate at which one currency is changed for another currency. In this question, 1 mexican peso is exchanged for 20 U.S. dollars.
- 0 mexican pesos is equivalent to 0 US dollars
- 20 mexican pesos is equivalent to (20 x 20) 400 US dollars
- 50 mexican pesos is equivalent to (50 x 20) 1000 US dollars
- 100 mexican pesos is equivalent to (100 x 20) 2000 US dollars
To learn more about exchange rate, please check: brainly.com/question/25780725
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