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attashe74 [19]
2 years ago
13

Please answer number 1 and 2.

Mathematics
1 answer:
zavuch27 [327]2 years ago
7 0

1, a.) The two specific conjectures are in the first image.

1, b.) The two general conjectures are in the second image.

2, a.) Two specific conjectures for this pattern are:

  • The common difference between two consecutive terms is 3.
  • And the given difference is A.P.

2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.

For finding its nth term we can use the formula: a(n) = a + (n-1) x d.

2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.

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The side lengths, in centimeters, of a triangle are 5x, 32, and 2(3x + 2). perimeter of the triangle is 80 centimeters. what is
Lerok [7]

Answer:

20 cm

Step-by-step explanation:

5x + 32 + 6x + 4 = 80

11x + 36 = 80

11x = 44

x = 4

sides of triangle:

5(4) = 20 cm

32 cm

6(4) + 2 = 26 cm

4 0
2 years ago
A customer visiting the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability
Pachacha [2.7K]

Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2  P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

6 0
3 years ago
Find the slope given the two points
TEA [102]

Answer:

15. -2  16. 0  17. undefined

Step-by-step explanation:

Slope of two points can be calculated by (y change) / (x change).

(y1 - y2) / (x1 - x2)

15)  (1-5) / (4-2) = -2

16)  (6-6) / (1-10) = 0 since y change is 0.

17) (-5-3) / (4-4) = undefined since x change is 0 but you cannot devide by 0.

8 0
3 years ago
Jose's mom gave him
goldenfox [79]
The flowers cost $12

40.00-10.75=$29.25
$29.25-3.25=$26.00
$26.00-$12.00=14
5 0
2 years ago
PLZ HELP <br> the expressions a[8x+7] and 4x+3.5 are equivalent. what is the value of a
kondaur [170]

Answer:

a=0.5

Step-by-step explanation:

Divide each term by  8x+ 7  and simplify.

Hope this helps :)

<em>-ilovejiminssi♡</em>

6 0
3 years ago
Read 2 more answers
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