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3 years ago

Will give 100 pts and brainliest

Mathematics

2 answers:

prohojiy [21]3 years ago

8 0

Answer:

y = $\sqrt{19^2 + 8.2^2}$

Step-by-step explanation:

to get the hypotenuse:

use the Pythagorean theorem:

a² + b² = c²

where a = 19, b = 8.2 c = y

plugin values:

19² + 8.2² = y²

y = $\sqrt{19^2 + 8.2^2}$

Tom [10]3 years ago

7 0

Answer:

y =

Step-by-step explanation:

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3 years ago

Find the slope of the line passing through the points (-8, -3) and (-3,4).

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3 years ago

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Determine whether the series is convergent or divergent. 1 4 + 3 16 + 1 64 + 3 256 + 1 1024 + 3 4096 +

Alla [95]

This series converges.

$S=\dfrac14+\dfrac3{16}+\dfrac1{64}+\dfrac3{256}+\dfrac1{1024}+\cdots$

$S=\left(\dfrac34+\dfrac3{16}+\dfrac3{64}+\dfrac3{256}+\dfrac3{1024}+\cdots\right)-\left(\dfrac12+\dfrac1{32}+\dfrac1{512}+\cdots\right)$

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Both component series are geometric with ratios less than 1, so they both converge.

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3 years ago

Suppose that it rains in Spain an average of once every 10 days, and when it does, hurricanes have a 8% chance of happening in H

Law Incorporation [45]

Answer:

The probability that it rains in Spain when hurricanes happen in Hartford is 0.1127

Step-by-step explanation:

This is a question where you use must use Bayes' Theorem.

The easiest way to do Bayes' type questions is to carefully define your terms.

Let R be the event that it is raining in Spain. R' is the event it isn't.

Let H be the event that it is hurricane in Hartford. H' is the event it isn't.

We know

P(R) = 1/10,

P(H | R) = 0.08,

P(H | R') = 0.07 and we want P(R | H).

Bayes Theorem says P(R | H) = [P(H | R)×P(R)] / P(H)

where

P(H) = P(H | R)×P(R) + P(H | R')×P(R')

Therefore,

P(R | H) = [P(H | R)×P(R)] / [P(H | R)×P(R) + P(H | R')×P(R')]

P(R | H) = [0.08 × 1/10] / [(0.08 × 1/10) + (0.07 × (1 - 1/10)]

P(R | H) = 8 / 71

P(R | H) = 0.1127

Therefore, the probability that it rains in Spain when hurricanes happen in Hartford is 0.1127.

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3 years ago

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