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Nataly [62]
3 years ago
14

-7+6(n-1) find the fourth term

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
7 0

Answer:

11

Step-by-step explanation:

To find the 4th term, you simply put 4 in for n because n denotes which term:

-7+6(n-1)=-7+6(4-1)=-7+6*3=-7+18=11

The answer is thus 11.

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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 <em>probability </em>that it rains in Spain when hurricanes happen in Hartford is <em>0.1127</em>

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

<em>P(R) = 1/10, </em>

<em>P(H | R) = 0.08, </em>

<em>P(H | R') = 0.07</em> and we want <em>P(R | H)</em>.

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

<em> where</em>

<em>P(H) = P(H | R)×P(R) + P(H | R')×P(R') </em>

<em />

Therefore,

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

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

<em>P(R | H) = 8 / 71</em>

<em>P(R | H) = 0.1127</em>

<em></em>

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

7 0
3 years ago
A sweater originally priced at 80 dollars was marked down 25% what was the sale price of the sweater
vampirchik [111]

Answer:

$60

Step-by-step explanation:

just is

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How can a linear approximation be used to approximate the value of a function f near a point at which f and f prime are easily​
sammy [17]

Answer:

This can be solved by calculating a first degree Taylor approximation polynomial for the function in question around x=a. Taylor's first degree polynomial is given by:

P_1(a) =f(a) +f'(a)(x-a)

Through this expression, which is easily evaluable around the point x = a, the function f (x) is approximated through a linear function.

Step-by-step explanation:

4 0
3 years ago
Answers for these? Having trouble getting the concept so a step by step would be awesome.
jolli1 [7]

Answer: 2222

Step-by-step explanation: 2000+200+20+2 = 2222

6 0
3 years ago
Read 2 more answers
| 15. Write an equation and solve.
docker41 [41]

Answer:

The value x in the equation 50=14+x+7+2x-1 is 10

Step-by-step explanation:

Given that the length of one side of a triangle is 14 inches

Let a be the length of one side

Therefore a=14 inches

The length of second side in x+7 inches

Let b be the length of second side

b=x+7 inches.

The length of third side is 2x-1 inches

Let c be the length of third side

c=2x-1 inches

And perimeter of the triangle =50 inches

Perimeter of a triangle =a+b+c

Equation can be written as

50=14+x+7+2x-1

50=20+3x ( adding the like terms )

Rewritting as below

3x+20=50

3x+20-50=50-50

3x-30=0

3x-30+30=0+30

3x=30

x=\frac{30}{3}

Therefore x=10

The value of x is 10

4 0
3 years ago
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