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anyanavicka [17]
3 years ago
15

B) Suppose you throw two fair dice. What is the probability of getting an even number on the first and a 5 or 6

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0

Answer:

Most likely 1/2 of a chance to get it and 1/6 of a chance to roll a 5 or 6

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The third term in an arithmetic sequence is 14 and the fifth term is 20. If the first term is a1, which is an equation for the n
Kruka [31]

Answer:

The equation for nth term is 3n + 5.

Step-by-step explanation:

Let a1 be a,

a3 = a + (n - 1)d

or, 14 = a + (3 - 1)d

so, 14 = a + 2d

Now,

a5 = a + (n - 1)d

or, 20 = a + (5 - 1)d

or, 20 = a + 4d

now,

a + 4d = 20

a + 2d = 14

now,

a + 4d - ( a + 2d) = 20 - 14

or, a + 4d - a - 2d = 6

or, 2d = 6

so, d = 3

Now,

a + 2d = 14

or, a + 2(3) = 14

or, a = 14 - 6

so, a = 8

Now,

an = a + (n - 1)d

or, an = 8 + (n - 1)3

or, an = 8 + 3n - 3

so, an = 3n + 5

5 0
2 years ago
Solve 5x^2-2=-12 by taking the square root
Nady [450]

Answer:

x = \sqrt{-2} = 2i

Step-by-step explanation:

5x^2-2=-12

5x^2 =-10

x^2 =-2

x = \sqrt{-2} = 2i

6 0
3 years ago
Earlier we investigated the relationship between x = payroll (in millions of dollars) and y = number of wins for Major League Ba
Minchanka [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Equation of regression line : y^ = 60.7 + 0.139x

x = payroll (in millions of dollars) and y = number of wins for Major League Baseball teams in 2016.

From the general regression equation:

y = mx + c

Where m = slope of regression line.

The slope (m) of the equation given is 0.139

The slope could be interpreted as ; for every per unit change in y (every win a major league baseball team has in 2016), the payroll in million dollar increases by a product of 0.139

4 0
3 years ago
The sides of AFGH are FG = 6x+7, GH = 8x - 5, and FH = 10x - 11. If the perimeter of FGH is 87, list the angles
liraira [26]

Answer:

<em>∠ H, ∠G, ∠F </em>

Step-by-step explanation:

6x + 7 + 8x - 5 + 10x - 11 = 87

24x = 96

x = 96 / 24 = 4

FG = 6(4) + 7 = 31 units

GH = 8(4) - 5 = 27 units

FH = 10(4) - 11 = 29 units

FG is the longest side ⇒ ∠H is the largest angle.

GH is the shortest side ⇒ ∠F is the smallest angle

<em>∠ H, ∠G, ∠F</em>

7 0
3 years ago
Read 2 more answers
Express $12.00 as a fraction of $20.00​
saul85 [17]

Answer:

<h2>12/20 = 6/10 = 3/5</h2>

Step-by-step explanation:

5 0
2 years ago
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