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Yanka [14]
3 years ago
6

Use the following triangle to answer the following questions. You may use some answers more than once.

Mathematics
1 answer:
marta [7]3 years ago
3 0

First, find the length of the hypotenuse using the Pythagorean theorem: a^2+b^2=c^2

25 + 144 = c^2

\sqrt{169} = c^2

13 = c

Now, find each of the values! Sin = opposite/hypotenuse; Cos = Adjacent/hypotenuse; Tan = Opposite/Adjacent.

1. A

2. A

3. C

4. B

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Suppose you are repeating a classic study of starfish and their impact on the ecosystems of tide pools. Using historic data coll
Travka [436]

Answer:

The probability of the number of starfish dropping below 3 is 0.0463.

Step-by-step explanation:

Let X represent the number of starfish in the tide pool.

X follows a Poisson distribution with mean 6.4.

The formula for Poisson distribution is as follows.

P(X=x) = e^{-6.4} * [6.4^{x} / x!] when x = 0, 1, ...

P(X = x) = 0 otherwise

We need to find the probability that the number of starfish in the tide pool drops below 3.

Therefore, the required probability is:

P(X < 3) = P(X = 0) + P(X = 1) + P(X=2)

P(X < 3) = e^{-6.4} + (e^{-6.4}*6.4) + (e^{-6.4}*6.4^{2}/2)

P(X < 3) = 0.00166 + 0.01063 + 0.03403

P (X < 3) = 0.0463

4 0
3 years ago
I need help pls<br> thank you
marissa [1.9K]

Answer:

x=22°, y=50°, z=108°

Step-by-step explanation:

x=22°(alternate angles are equal)

y=50°(angle sum in triangle is 180°)

z=108°

6 0
3 years ago
According toThe Humane Society in 2009 33% of US households owned at least one cat and 56% of households who did own cats owned
taurus [48]

Answer:

<h2>21.4368 ≅ 21.44 million households owned at least two cats.</h2>

Step-by-step explanation:

Total number of households were 116 million.

Hence, 100% = 116 million.

33% of the total US households owned at least one cat.

Hence, the number of household having at least one cat is \frac{33\times116}{100} = \frac{3828}{100} = 38.28 million.

It is also given that 56% of that 38.28 million households owned at least 2 cats.

Hence, the number of households having 2 cats is \frac{56\times38.28}{100} = \frac{2143.68}{100} = 21.4368 million.

7 0
3 years ago
Can someone aswer this Please
IRISSAK [1]

Answer:

9 . 5/3

10. - 5/11

................................

4 0
2 years ago
At a summer camp, there are 40 boys out of 70 campers. What is this ratio written as a fraction in simplest form?
madam [21]

Answer:

40:70 becomes 20:35 which becomes 4: 7.

The answer is 4:7

Step-by-step explanation:

7 0
3 years ago
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