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Harman [31]
3 years ago
10

Evaluate C (9, 3). 504 84 60,480 5,040

Mathematics
1 answer:
Temka [501]3 years ago
3 0

\displaystyle C(9,3) = {9 \choose 3} = \dfrac{9 \cdot 8 \cdot 7}{3 \cdot 2 \cdot 1} = 3(4)(7)=84

second choice

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On any given day, the probability that a large local river is polluted by carbon tetrachloride is 0.12. Each day, a test is cond
babymother [125]

Answer:

a) 0.2416

b) 0.4172

c) 0.0253

Step-by-step explanation:

Since the result of the test should be independent of the time , then the that the test number of times that test proves correct is independent of the days the river is correct .

denoting event a A=the test proves correct and B=the river is polluted

a) the test indicates pollution when

- the river is polluted and the test is correct

- the river is not polluted and the test fails

then

P(test indicates pollution)= P(A)*P(B)+ (1-P(A))*(1-P(B)) = 0.12*0.84+0.88*0.16 = 0.2416

b) according to Bayes

P(A∩B)= P(A/B)*P(B) → P(A/B)=P(A∩B)/P(B)

then

P(pollution exists/test indicates pollution)=P(A∩B)/P(B) = 0.84*0.12 / 0.2416 = 0.4172

c) since

P(test indicates no pollution)= P(A)*(1-P(B))+ (1-P(A))*P(B) = 0.84*0.88+  0.16*0.12 = 0.7584

the rate of false positives is

P(river is polluted/test indicates no pollution) = 0.12*0.16 / 0.7584 = 0.0253

4 0
3 years ago
PLEASE HELP ME ASAP!!
Dmitry_Shevchenko [17]
13 cm+ 13 cm= 26 cm, 26 cm is the answer to Part B.
3 0
3 years ago
Find Distance (4,6) (-4,-3)​
vampirchik [111]

Answer:

\sqrt{145}

Step-by-step explanation:

The distance formula states that the distance between two points (a,b) and (c,d) is \sqrt{(a-c)^2+(b-d)^2}.

The two points we have are (4,6) and (-4,-3). Plugging these numbers into the distance formula, we have

\sqrt{(4-(-4))^2+(6-(-3))^2.

Simplifying with order of operations, first using the distributive property, gives

\sqrt{(4+4)^2+(6+3)^2.

Squaring and adding gives

\sqrt{(4+4)^2+(6+3)^2}=\sqrt{8^2+9^2}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\sqrt{64+81}\\~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\boxed{\sqrt{145}},

which is the answer in simplest form. This also rounds to about 12.04.

7 0
2 years ago
4(1-2b)+7b-10
likoan [24]

Answer:

if you're simplifying, it should be = -1b - 6

Step-by-step explanation:

1. 4(1-2b) + 7b -10 solve the parenthesis

2. 4 <u>- 8b</u> <u>+ </u><u>7b</u> - 10 combine like(same) terms

3. <u>4</u> - 1b <u>- 10</u> same as 2.

4. -1b - 6

5 0
3 years ago
The answer to this question
Sophie [7]

The answer to this question is D) 13.9 in.

Try using the Pythagorean theorem when solving to get the hypotenuse or other angles for a right triangle.

4 0
3 years ago
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