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3 years ago

Make a conjecture about the next item in the sequence. 6, 9, 7, 10, 8

Mathematics

1 answer:

ozzi3 years ago

3 0

Answer:

6,9,7,10,8,11..

Step-by-step explanation:

If you notice that in the given sequence 6, 9, 7, 10, 8 the first element is 6 and then 3 is added in 6 to make it 9. Then 2 is subtracted from 9 which makes it 7 and then again 3 is added in 7 which makes it 10. After that again 2 is subtracted from 10 to make it 8. Now by following this method now we will add 3 in 8 which will give us the next item which is 11.

Thus the sequence we get is:

6,9,7,10,8,11...

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Y=1/2x + 3/4

Usimov [2.4K]

0,3/4

1/2,1

X being the first, y second term verify the equation

4 0

3 years ago

Assuming that boy and girl babies are equally likely, what would be Kathy's probability of having at most one daughter if she

JulijaS [17]

Answer: 0.3125.

Step-by-step explanation:

The chance of having a boy is 0.5,
the chance of having a girl is also 0.5.

Outcome 1: all boys

boy boy boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 2: first child is a girl, all others are boys

girl boy boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 3: second child is a girl, all others are boys

boy girl boy boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 4: third child is a girl, all others are boys

boy boy girl boy

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Outcome 5: fourth child is a girl, all others are boys

boy boy boy girl

0.5 * 0.5 * 0.5 * 0.5 = 0.0625

Therefore,

0.0625 + 0.0625 + 0.0625 + 0.0625 + 0.0625 = 0.0625 * 5 = 0.3125

4 0

2 years ago

ANYONE KNOWS THAT ANSWER FOR THIS PLEAS EHELP ME ASAP

Tasya [4]

Answer:

triangular prism

Step-by-step explanation:

Shape 1 attached is a triangular prism it has the same name and same net but is not identical as its slightly longer. The top side has 5 edges and its base has 4 edges

Has the same Faces: 5

Has the same Edges: 9

Has the same Vertices: 6

Shape 2 attached, is called a square based pyramid

It differs as its top side has 4 edges and its base has 4 edges where the base is the only common side and slope as the other one.

Faces: 5

Edges: 8

Vertices: 5

3 0

3 years ago

Fred bought 7 games on clearance for $104.65. Each game was on sale for the same price. How much did each game cost? (Show your

NISA [10]

Answer:

Each game cost $14.95.

Step-by-step explanation:

104.65 = 7x

104.65/7 = x

14.95 = x

3 0

3 years ago

What values of x and y satisfy the system of equations {10x+3y=−5−5x−4y=10? (0,−53) (25,−3) (−2,0) (12,−103)

Kitty [74]

Answer:

The solution of the equation

( 0.4 ,-3)

Step-by-step explanation:

Explanation:-

Step(i):-

Given system of equations

10 x+3 y = −5 ...(i)

- 5 x - 4 y = 10 ...(ii)

Multiply (i) with '5'

10 × 5 x + 3×5 y = - 25

50 x + 15 y = 25 ...(iii)

Multiply (ii) with '10'

-5 × 10 x - 4×1 0 y = 100

- 50 x - 40 y =100 ...(iv)

Step(ii):-

Solving (iii) and (iv)

50 x + 15 y =- 25

- 50 x - 40 y =100

- 25 y = 75

Dividing ' - 25' on both sides, we get

y = -3

substitute y = -3 in equation (i) , we get

10 x+3 y = −5

10 x - 9 = - 5

10 x = -5 + 9

$x = \frac{4}{10}$

x = 0.4

Final answer:-

The solution of the equation ( 0.4 ,-3)

7 0

3 years ago