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2 years ago

Write a rule for the nth term of the arithmetic sequence 3, 11, 19, 27, 35... what is a20?

Mathematics

1 answer:

vladimir1956 [14]2 years ago

5 0

3, 11, 19, 27, 35...

a = 3
d = 11-3 = 8
a20 = a + 19d = 3 + 19*8 = 3 + 132 = 135

HOPE IT HELPS!

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Suppose the probability of an athlete taking a certain illegal steroid is 10%. A test has been developed to detect this type of

Travka [436]

Answer:

93.25% probability that they have taken this steroid

Step-by-step explanation:

Bayes Theorem:

Two events, A and B.

$P(B|A) = \frac{P(B)*P(A|B)}{P(A)}$

In which P(B|A) is the probability of B happening when A has happened and P(A|B) is the probability of A happening when B has happened.

In this question:

Event A: Positive test

Event B: Taking the steroid.

Suppose the probability of an athlete taking a certain illegal steroid is 10%.

This means that $P(B) = 0.1$

Given that the athlete has taken this steroid, the probability of a positive test result is 0.995.

This means that $P(A|B) = 0.995$

Positive test:

99.5% of 10%(If the athlete has taken).

100-99.2 = 0.8% of 100-10 = 90%(Athlete has not taken)

Then

$P(B) = 0.995*0.1 + 0.008*0.9 = 0.1067$

Given that a positive test result has been observed for an athlete, what is the probability that they have taken this steroid

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93.25% probability that they have taken this steroid

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2 years ago

Q: Angelica uses the point (4,3) to represent the location of her house and uses the point (10,8) to represent the location of a

oksian1 [2.3K]

Answer:

The answer to your question is 7.8 mi

Step-by-step explanation:

Data

H (4,3)

G (10, 8)

Process

1.- Use the distance between to points formula to find the distance

dHG = $\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2}}$

x1 = 4 y1 = 3

x2 = 10 y2 = 8

2.- Substitution

dHG = $\sqrt{(10 - 4)^{2} + (8 - 3)^{2}}$

3.- Simplification

dHG = $\sqrt{6^{2} + 5^{2}}$

dHG = $\sqrt{36 + 25}$

dHG = $\sqrt{61}$

4.- Result

dHG = 7.8 mi

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2 years ago

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ExtremeBDS [4]

Answer:

A. 44.82%

Option b. Return On Equity usually increases since the repurchase of shares reduces the denominator (avg. stockholders' equity)

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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2 years ago

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