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N76 [4]
3 years ago
10

A card is randomly selected from a standard 52-card deck of playing cards. determine the probability that the randomly selected

card:
a. is red
Mathematics
2 answers:
Lilit [14]3 years ago
6 0

Half (or 26) of the cards are red, and the rest are black.

P(randomly selected card is red) = 26/52 = 1/2.

Vesnalui [34]3 years ago
5 0

|\Omega|=52\\ |A|=26\\\\ P(A)=\dfrac{26}{52}=\dfrac{1}{2}=50\%

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3 years ago
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-3x + 7y = -1<br> - 2x + 5y=0
Talja [164]
(X,Y) = (9/13 , 2/13)
6 0
3 years ago
Find the angle measures given the figure is a rhombus
IrinaK [193]

Answer:

74°

Step-by-step explanation:

A rhombus is a quadrilateral that has its opposite sides to be parallel to be each other. This means that the two interior opposite angles are equal to each other. Since the sum of the angles of a quadrilateral is 360°.

According to the triangle, since one of the acute angle is 32°, then the acute angle opposite to this angle will also be 32°.

The remaining angle of the rhombus will be calculated as thus;

= 360° - (32°+32°)

= 360° - 64°

= 296°

This means the other two opposite angles will have a sum total of 296°. Individual obtuse angle will be 296°/2 i.e 148°

This means that each obtuse angles of the rhombus will be 148°.

To get the unknown angle m°, we can see that the diagonal cuts the two obtuse angles equally, hence one of the obtuse angles will also be divided equally to get the unknown angle m°.

m° = 148°/2

m° = 74°

Hence the angle measure if m(1) is 74°

4 0
3 years ago
Write the equation of a line that is
il63 [147K]

Answer:

Y= 3x-7

Step-by-step explanation:

Since the line is parallel , the slope is same i.e. 3 .

now the equation should be y= Mx + b where m is the slope and c is the y-intercept

plugging the value of m=3 and ( 3,2) into the equation

2= 3(3) + c

2= 9+ c

c= -7

hence the equation of the line is y=3x-7

8 0
2 years ago
The perimeter of a rectangle is 70 inches. If its length is four times its width, find the dimensions. Write an equation and sol
katen-ka-za [31]

Answer: Length = 28cm

Width = 7cm

Step-by-step explanation:

Let the width be represented by x.

Since the length is four times its width. Therefore, the length would be:

= 4 × x = 4x

The perimeter of a rectangle is calculated as:

= 2(length + breadth)

Therefore, 2(4x + x) = 70

2(5x) = 70

10x = 70

x = 70/10

x = 7

Therefore, width = 7cm

Length = 4x = 4 × 7 = 28cm

5 0
3 years ago
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