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nadezda [96]
4 years ago
10

A bag contains the number 0 – 9. Find the probability. P(even, 5) With replacement

Mathematics
1 answer:
Sholpan [36]4 years ago
7 0
0,1,2,3,4,5,6,7,8,9

The total outcome is 10 (each one is equally likely to happen.
The probability of getting any even number (2 OR 4 OR 6 OR 8 ) is 4, hence the P(getting an even number) =4/10 =2/5
Now the probability of getting the number 5 is (one favorable outcome):
P(5)= 1/10

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Find the exact values of the six trigonometric functions of 0
siniylev [52]

Complete question is;

Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).

Answer:

Sin θ = -4/√41

Cos θ = -5/√41

tan θ = 4/5

Cosec θ = (√41)/-4

Sec θ = (√41)/-5

Cot θ = 5/4

Step-by-step explanation:

Now, we are given the point (-5, -4)

These are x and y points.

They will form a triangle and we know that from pythagoras theorem;

x² + y² = r²

Where r is the distance between the point and the origin

Thus;

r² = (-5)² + (-4)²

r² = 25 + 16

r = √41

So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.

Thus, the trigonometric ratios are;

Sin θ = opp/hyp = -4/√41

Cos θ = adj/hyp = -5/√41

tan θ = opp/adj = -4/-5 = 4/5

Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4

Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5

Cot θ = 1/tan θ = 1/(4/5) = 5/4

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3 years ago
Hii please help i’ll give brainliest
Leviafan [203]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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Which are the independent events? Check all that apply
olya-2409 [2.1K]

Answer:

Independent events are those that do not depend on others. Two entities does not depend on each other. The change in one entity does not change the other.

So, independent events here are-

1. rolling a number cube twice.

2. flipping a coin 4 times.

3. choosing a meal combination.

Rest two options are dependent on each other.

4 0
4 years ago
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The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 288 cubic inches and a length of
ziro4ka [17]

Answer:

24

Step-by-step explanation:

Varies directly means that something constant times l equals V or V=kl where k is that constant.  

Plug in point given 288=k(12) and solve the constant of proportionality by dividing both sides by 12.

k=288/12=24

8 0
3 years ago
Camila took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.80 plus $4.75 per mile. The total
MA_775_DIABLO [31]

Answer:

21 miles

Step-by-step explanation:

104.55 - 4.80 = 99.75

99.75/4.75 = 21

21 miles

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