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rosijanka [135]
2 years ago
14

Solve by completing the square:

Mathematics
1 answer:
laiz [17]2 years ago
8 0
The answer is 4 trust me bro
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Which graph represents the same relation as the set StartSet (negative 3, 2), (5, 5), (3, 3), (3, negative 2) EndSet?
ikadub [295]

Answer:

The second graph

Step-by-step explanation:

4 0
2 years ago
Two cards are drawn with replacement, one after the other, and the outcomes recorded. What is the probability that at least one
babymother [125]

Answer:

The probability is 0.231

Step-by-step explanation:

In this question, we are tasked with calculating the probability that out of two cards drawn with replacement from a pack of cards , at least one of the two is a face card.

In a standard pack of cards, there are 52 cards.

Now let’s calculate the number of face cards we have.

There are 12 face cards in a pack of cards. There are 4 of each of Jack, Queen or King

The probability of drawing a face card is 12/52 = 3/13

Now, we want to calculate the probability of at least one of the cards drawn are face cards.

Mathematically, what we are needing to calculate is

Probability of drawing a single face card or probability of the two being a face card

Now let’s calculate.

The probability of the first card drawn being a face card is 3/13. The probability of the second card not being a face card will be 1-3/13 = 10/13

The joint probability under this first set of condition will be 3/13 * 10/13 = 30/169

Now, for the second condition, here we are considering that both cards drawn are face cards. What we have is 3/13 * 3/13 = 9/169

Now in probabilities, whenever we are having the statement or, we add the probabilities together

Thus, the probability here would be 30/169 + 9/169 = 39/169 = 3/13

In decimal this will be 0.231

8 0
3 years ago
help asap! Write an expression equivalent to [5x²]-[15x] that is a product of two expressions. Fill in the blanks with numbers,
adoni [48]

Answer: 5x (x-3) or 5(x^2-3x)

Step-by-step explanation:

3 0
2 years ago
What's the distance between points (2, 2) and (4.1)
Tresset [83]

Answer:

-(1/2)

Step-by-step explanation:

y1-y2/x1-x2

8 0
2 years ago
Plastic parts produced by an injection-molding operation are checked for conformance to specifications. Each tool contains 12 ca
Ksju [112]

Answer:

a) 45 possible outcomes

b) 55 possible outcomes

Step-by-step explanation:

Given:

- Total cavities = 12

- Selection = 3 parts

- Non-conforming cavities = 2

Find:

a) How many samples contain exactly 1 nonconforming part?

b) How many samples contain at least 1 nonconforming part?

Solution:

- The question asks for the use of combinations to express the outcomes for each scenario.

- For first part, we want the inspector to pick exactly one non-conforming part among 3 selected. So let us say that he has already chosen that one non conforming cavity. Now he has to make 2 more selections out of total conforming cavities = 12 - 2 = 10 conforming cavities. Hence, the total possible outcome is to chose 2 randomly from 10 conforming cavities.

                              ( Exactly 1 ) 10C2 = 45 possible outcomes

- The second part entails that at-least 1 non-conforming cavity is selected. To choose exactly 1 non conforming we calculated above. In the similar way calculate for selecting exactly 2 non-conforming cavities. The total possible outcome would be to choose from 10 conforming and we choose 1 from it:

                              ( Exactly 2 ) 10C1 = 10 possible outcomes

- Hence, for at-least 1 non conforming cavity being selected we same the above two cases calculated:

                             (At-least 1 ) =  ( Exactly 1 ) +  ( Exactly 2 )

                             (At-least 1 ) =  45 + 10 = 55 possible outcomes

4 0
3 years ago
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