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3 years ago

Evaluate when x=5 x x²-3x+4

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

Step-by-step explanation:

To evaluate, substitute x = 5 into the expression, that is

5² - 3(5) + 4 = 25 - 15 + 4 = 14

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"If two cards are drawn at random without replacement from a standard deck, find the probability that the second card is a face

PolarNik [594]

Answer:

C. $P(F|Q) = \dfrac{11}{51}$

Step-by-step explanation:

it is to be noted that the question is only asking for the probability of the 2nd card given that the first card was queen $(P(F|Q))$ , and not asking for the probability of 1st card to be queen and 2nd card to be faced card $P(Q\,\text{and}\,F)$

we can represent it in an expression:

$P(Q\,\text{and}\,F) = P(Q)P(F|Q)$

here P(Q) is the first event: Queen

and P(F|Q) is the second event: Faced card, given that the Queen is taken

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

we only need to know what is P(F|Q), and that can be found directly found:

let's start with P(Q), what is the probability that the first card is a Queen? Well, there are 4 queens in a standard deck of 52 cards, so the probability should be:

$P(Q) = \dfrac{4}{52}$

now we have taken our queen, but we haven't put it back in the deck. so the amount of cards in the deck now are 51.

let's calculate P(F|Q),now that one queen is taken out, what is the probability of the next card to be a faced card? Well, in a standard deck there are 12 faced cards, but in our case one queen is already taken out, so there are 11 faced cards in our deck!

$P(F|Q) = \dfrac{11}{51}$

and this our answer!

8 0

3 years ago

Quan's last paycheck shows that he eamed $210.00 for 24 hours of work. What is his hourly rate of pay?

bija089 [108]

Answer: 8.75$

Step-by-step explanation: to find the answer to this problem, you would divide his total amount of cash earned by the number of hours he worked to see how the cash is split between each hour. By doing this, you should get 8.75$ and hour.

4 0

4 years ago

True or False: All rectangles are parallelograms.

Gnoma [55]

It is False. :) hehehehe

7 0

4 years ago

A system of inequalities is shown.

Doss [256]

The system of inequalities which is represented in the graph shown (see attachment) is:

y ≥ x² -2x -3
y ≤ x +3

<h3>What is an inequality?</h3>

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following:

Less than (<).

Greater than (>).

Less than or equal to (≤).

Greater than or equal to (≥).

<h3>What is a graph?</h3>

A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.

By critically observing the graph which models the system of inequalities shown, we can infer and logically deduce the following points:

Both boundary lines on the cartesian coordinate are solid. Thus, the inequalities will both have the "equal to" sign.

The shading occurred above the quadratic boundary line. Thus, the inequalities below the linear boundary line is given by y ≥ x² + and y ≤ x +

In conclusion, we can infer and logically deduce that the system of inequalities which is represented in the graph shown (see attachment) is:

y ≥ x² -2x -3
y ≤ x +3

Read more on graphs here: brainly.com/question/25875680

#SPJ1

6 0

2 years ago

if a birthdat cake is cut into 12 pieces and five children each eat one piece, what fraction of the cake is gone?

klio [65]

Answer:

5/12

Step-by-step explanation:

12 pieces of cake is the original amount and 5 kids ate it 5 pieces that means 5/12 of the cake it gone.

4 0

3 years ago