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Troyanec [42]
3 years ago
14

Carmen is drawing a card from a standard deck of playing cards. Find each probability below.

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

a) 0.25  

b) 0.75

Step-by-step explanation:

The formula to find probability is

\frac{Favorable \ outcomes}{total \ outcomes}

Here as deck pf playing cards has 52 cards.

So total outcomes = 52

a)

A deck of cards has 13 hearts.

Favorable outcomes = 13

Probability of drawing a Heart

=\frac{13}{52}= \frac{1}{4}=0.25

b)

A deck of cards has 13 cards of clubs.

So the cards which are not clubs = 52-13=39

Hence favorable outcomes = 39

Probability of not drawing a club card

=\frac{39}{52}= \frac{3}{4}=0.75

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Given the similarity statement<br> AJKL ANOP, what's the<br> corresponding side of ON ?
levacccp [35]

Answer:

ON = KJ

Step-by-step explanation:

JKL = NOP

We know the angles match

<J = <N

<K = <O

< L = <P

And we know

JK = NO

KL =  OP

JL = NP

We are looking for ON = KJ

5 0
3 years ago
Read 2 more answers
Construct a linear function, f(x), to model the ordered pairs (6, 2) and (7, −5). f(x) = 7x + 44 f(x) = x + 4 f(x) = −44x + 7 f(
Sonbull [250]

First we find the slope between the two given points.

m = (y2 - y1)/(x2 - x1) = (-5 - 2)/(7 - 6) = -7/1 = -7

Now we use the slope-intercept equation of a line.

y = mx + b

We use one point as x and y, and we solve for b.

2 = -7(6) + b

2 = -42 + b

b = 44

The equation is

y = -7x + 44

Answer: f(x) = -7x + 44

4 0
3 years ago
At 9:00, Paula has x cups of food in a container for her dog. Paula pours a 2 1/2 cup box of fodd into the container. Then she r
Anestetic [448]

Answer:

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

Step-by-step explanation:

X + (2 and 1/2) - 3/4 = 5 and 1/4

X + 2 and 2/4  - 3/4 = 5 and 1/4  <--- common denominator

X + 10/4 - 3/4 = 21/4

X + 7/4 = 21/4

X = 21/4 - 7/4 = 14/4 = 7/2 = 3 and 1/2

3 0
3 years ago
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If we wanted to prove quadrilateral MNOP was a parallelogram, which method below would not work?
rjkz [21]

Answer:

The correct option is 4.

4) Doing two distance formulas to show that adjacent sides are not the same length.

Step-by-step explanation:

Parallelogram is a quadrilateral which has opposite sides equals and parallel. Example of a parallelogram are rhombus, rectangle, square etc.

We can prove that a quadrilateral MNOP is a parallelogram. If we find the slopes of all four sides and compare those of the opposite ends, same slopes would indicate the opposite sides are parallel, hence the quarilateral is a parallelogram. We can also find the distance of two opposing sides, and slopes of twp opposing sides to determine whether it is a parallelogram or not. The most difficult approach is that diagonals bisect each other at same point.

However, using only two distance formulas will not give us enough information to determine whether a side is parallel or not.

7 0
3 years ago
For the polynomial x5 – 2x6 + 3, which of these statement(s) is true? Select all that apply A. The polynomial is a trinomial. B.
Evgen [1.6K]

Answer:

A, B and D

Step-by-step explanation:

A. The polynomial is a trinomial.

A trinomial refers to a polynomial with three terms. This option is correct.

B. The degree of the polynomial is 6.

Degree refers to the highest power in the polynomial. This option is correct.

C. The leading coefficient is 1

This is false. The leading coefficient is the coefficient of the variable bearing  the degree of the polynomial. This is wrong.

D. Written in standard form, the polynomial is –2x6 + x5 + 3.

This is correct.

5 0
3 years ago
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