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attashe74 [19]
3 years ago
10

What is the probability of drawing a spade from a standard deck of cards on a second draw given that a spade was drawn on the fi

rst draw or not replaced
Mathematics
1 answer:
Marina CMI [18]3 years ago
3 0
There are 52 cards in a deck, 13 of which are spades. If the first card drawn was a spade, and it is not replaced, then this leaves 51 cards, 12 of which are spades. Therefore the probability of the second draw being a spade is 12/51 = 4/17.
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After the party, 3 1⁄4 pecan pies remained. The next day, Edward's family ate 1 1⁄4 of a pie. How many pecan pies were left?
vlabodo [156]

Answer:

2

Step-by-step explanation:

Because 3-1 is 2 and 1/4-1/4=0

So 2

4 0
3 years ago
Read 2 more answers
Consider the parabola represented by the equation -2y^2=4x
stepan [7]
Part 1: The general form for this matches y^2 = -4cx, which implies that this opens to the left. (Imagine assigning any value of y, whether positive or negative, which would result in a positive left-hand value. Then to match this sign, the value of x must be negative so that the right-hand side becomes positive as well.)

Part 2: The distance from the vertex to the directrix is given by c. This equation has its vertex at the origin (0, 0). If it opens to the left, the directrix is a vertical line to the right of the origin. This equation is y^2 = -4(1/2)x, so c = 1/2, and the directrix has the equation x = 1/2.

Part 3: The focus is inside the parabola, but it is the same distance from the vertex as the directrix. This distance is 1/2 units, and it will be to the left of the vertex. So the focus is at (-1/2, 0).
5 0
3 years ago
Don't really understand this math question yet
olga_2 [115]

Arranging the given distances from sea level on the number line, we have;

  • The error made by taking Egypt as being further from the sea level is assuming that the sea level is at the beginning (left) of the number line.

<h3>How can the number line be used to find the distance from the sea level?</h3>

The given elevation of the lowest points in the six countries are;

Country. Lowest point elevation (m)

China. →. -154

Egypt →. -133

Azerbaijan → -28

Serbia. →. 35

Israel. → -408

Laos. →. 70

Sorting the above countries from the country with the lowest point below sea level to the country with the highest point above sea level gives;

Israel → -408

China → -154

Egypt → -133

Azerbaijan → -28

Serbia. → 35

Laos. →. 70

On a number line, we have;

Israel < China < Egypt < Azerbaijan < Serbia < Laos

Relative to zero, which is the sea level, points -133 and -154 are located to the left of zero.

However, point -133 > -154, therefore, -154 < -133, the symbol < represents lesser (in this case 'lower') which indicates that China (point -154) is lower or further left from zero which is the sea level than Egypt (point -133).

The error is therefore mistaking the location of the sea level as being at the extreme left of the number line, rather than at the middle.

Learn more about the number line here:

brainly.com/question/4727909

#SPJ1

7 0
2 years ago
Polynomial equation when zeros are -4, -2, 1, 4
jek_recluse [69]
<h2>The required poynomial equation is x^{4}+x^{3}-18x^{2}-16x+32.</h2>

Step-by-step explanation:

Given,

The zeros of the polynomial are - 4, - 2, 1 and 4

To find, the polynomial equation = ?

We know that,

The polynomial equation = (x - A)(x - B)(x - C)(x - D)

= (x + 4)(x + 2)(x - 1)(x - 4)

= [(x + 4)(x - 4)] [(x + 2)(x - 1)]

= (x^{2}-16)(x^2-x+2x-2)

=  (x^{2}-16)(x^2+x-2)

= x^{4}+x^{3}-2x^{2}-16x^{2}-16x+32

= x^{4}+x^{3}-18x^{2}-16x+32

Thus, the required poynomial equation is x^{4}+x^{3}-18x^{2}-16x+32.

4 0
3 years ago
What is the common ratio in this geometric series?
Lerok [7]
For a geometric sequence or geometric series, the common ratio is the ratio of a term to the previous term. This ratio is usually indicated by the variable r. Example: The geometric series 3, 6, 12, 24, 48, . . . has common ratio r = 2.
4 0
3 years ago
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