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uranmaximum [27]
3 years ago
9

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Mathematics
1 answer:
Andru [333]3 years ago
4 0

Answer:

<h2>          - 525</h2>

Step-by-step explanation:

a_{n+1}=a_n\cdot r

So, if the common ratio is -5 the next term is always (-5) times the previous term.

<h3>105·(-5) = - 525</h3>
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If the probability is 0.65 that a marriage will end in divorce within 20 years, what is the probability that out of 7 couples ju
Rasek [7]

Answer:

0.00064

0.049

0.185

0.234

Step-by-step explanation:

Using binomial distribution formula :

P(x = x) = nCx * p^x * (1 - p)^(n-x)

p = 0.65

1 - p = 1 - 0.65 = 0.35

n = 7

(A) None will be divorced?

P(x = 0) : 7C0 * 0.65^0 * 0.35^7

= 1 * 1 * 0.00064339296875

= 0.00064

(B) All will be divorced?

P(x = 7) : 7C7 * 0.65^7 * 0.35^0

1 * 0.04902227890625 * 1

= 0.049

(C) Exactly 6 will be divorced?

P(x = 6) : 7C6 * 0.65^6 * 0.35^1

7 * 0.075418890625 * 0.35

= 0.18477628203125

= 0.185

(D) At least 6 will be divorced?

P(x ≥ 6) = p(6) + p(7)

P(6) = 0.185

P(7) = 0.049

P(x ≥ 6) = 0.185 + 0.049 = 0.234

6 0
3 years ago
16,051 rounded to the nearest thousand
Kaylis [27]
It is 16,000. because 0 is lower than 5

3 0
4 years ago
Two angles in a triangle measure 28 degrees and 93 degrees. What is the measure of the third angle?
fomenos

Answer:

59

Step-by-step explanation:

The three interior angles in a triangle will always add up to 180°, so:

180-93-28=59

6 0
4 years ago
Read 2 more answers
Help help me besties ​
charle [14.2K]

Answer:

c. 5x + 25

Step-by-step explanation:

5( x + 5)

5×x + 5×5

5x + 25

7 0
3 years ago
Read 2 more answers
The diagram shows the distances, in feet, of paths between each farm animal. What is the total distance off the paths from the c
Ainat [17]

Answer:

Step-by-step explanation:

cow->chicken is 16

chicken->horse is 21

horse->pig is 7

pig->cow is 13

16+21+7+13=57

I  know the distances from each animal to the other. I was asked to find the perimeter, because the distances of the paths create a quadrilateral.

7 0
3 years ago
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