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Aleksandr [31]
3 years ago
11

What is the equation of a horizontal line passing through the point (2, 10)?

Mathematics
1 answer:
Romashka [77]3 years ago
7 0
Answer:

O x = 2

Step-by-step explanation:

Only x-intercepts will make the line horizontally and x = 2 is the line that passes through the point (2, 10)
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Write an equation to convert a diamonds weight and carrots to its weight in milligrams
monitta
I know diamonds I think don't you have to divide
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3 years ago
Expand each expression. Then simplify the expression.<br><br> 7(5 + 4w) + 6(8w - 3)
Ilia_Sergeevich [38]

Answer:

76w + 17

Step-by-step explanation:

7 ( 5 + 4w ) + 6 ( 8w - 3 )

= 7 ( 5 ) + 7 ( 4w ) + 6 ( 8w ) - 6 ( 3 )

= 35 + 28w + 48w - 18

= 28w + 48w + 35 - 18

= 76w + 17

3 0
3 years ago
Emma tossed a six-sided die two times and recorded the sum of the two numbers. How many different sums are possible for her to r
guajiro [1.7K]

Answer:

11

Step-by-step explanation:

6 times 6 is 36

Think about this you row a 1 first the possible result of the next row is 1,2,3,4,5,or 6 and that is 6 possible sums.

Which is 2, 3, 4, 5, 6, and 7

Next she rows 2 with again 6 possible results

Which is 3, 4, 5, 6, 7,and 8

Then she rows a 3, 4, 5,and 6

with the possible results

4, 5, 6, 7, 8, 9

   5, 6, 7, 8, 9, 10

       6, 7, 8, 9, 10, 11

           7, 8, 9, 10, 11, 12

They asked for different sums so out of the results the different sums is

2, 3, 4, 5, 6, 7, 8, 9, 10, 11,and 12

HOPE THIS HELPS:)

5 0
3 years ago
For each set of probabilities, determine whether the events A and B are independent or dependent.
lozanna [386]

Answers:

  • (a) Independent
  • (b) Dependent
  • (c) Dependent
  • (d) Independent

========================================================

Explanation:

If events A and B are independent, then the two following equations must both be true

  • P(A | B) = P(A)
  • P(B | A) = P(B)

This is because the conditional probability P(A|B) means "P(A) when B has happened". If B were to happen, then P(A) must be the same as before. In other words, event B does not affect A, and vice versa.

For part (a), we have P(B) = 1/4 and P(B|A) = 1/4 showing that P(B|A) = P(B) is true, and therefore we can say the events are independent. We don't need the info that P(A) = 1/8.

------------------------

Unlike part (a), part (b) has the answer "dependent" because P(A) = 1/8 and P(A | B) = 1/3 differ in value. Event A starts off at probability 1/8, but then event B occurring means P(A) gets increased to 1/3. The prior knowledge about B changes the chances of A. The P(B) = 1/5 is unneeded.

------------------------

If A and B were independent, then,

P(A and B) = P(A)*P(B)

However,

P(A)*P(B) = (1/4)*(1/5) = 1/20

which is not the same as P(A and B) = 1/6. Therefore the two events are dependent.

------------------------

Refer back to part (a)

P(A) = 1/4 and P(A|B) = 1/4 are identical in value, so P(A|B) = P(A) which leads to the events being independent. Whether we know event B happened or not, it does not affect the outcome of event A. P(B) = 1/9 is unneeded.

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