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Dmitry_Shevchenko [17]
3 years ago
11

One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , b

lack circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Mathematics
1 answer:
Usimov [2.4K]3 years ago
8 0

Answer:

1/26 ; 1/26 ; 1/52

Step-by-step explanation:

Given the following :

A deck of 52 cards contains :

Red hearts, Red stars, black triangles, black circles

Each type of card is numbered from 1 - 13

Therefore,

Number of each type of card = 13, all numbered distinctly with digits between 1 - 13

Probability = (number of required outcomes / total number of possible outcomes)

If one card is drawn from the deck:

Probability of picking a red one :

This is either a red heart numbered 1 or a red red star numbered 1,

Therefore, Required outcomes = 2

Total possible outcomes = 52

P(a red one) = 2 / 52 = 1/26

B) A black three

This is either a black triangle numbered 1 or a black heart numbered 1,

Therefore, Required outcome = 2

Total possible outcomes = 52

P(a black three) = 2 / 52 = 1/26

C.) A six of hearts :

A hearts numbered six = 1

Therefore, Required outcome = 1

Total possible outcomes = 52

P(a black three) = 1 / 52 = 1/52

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Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct
Nana76 [90]

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

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The roots of this equation can be found using the quadratic formula, which is given by:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

4 0
3 years ago
Write 2/3 of 4 as a fraction
eduard
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7 0
3 years ago
Slope of 2 and passes through the point (-4,3). Write the equation in slope intercept form
erastova [34]

Answer:

The equation is y = 2x + 11.

Step-by-step explanation:

It is given that the gradient of the equation is 2. Using slope-form formula, y = mx+b where m is gradient and b is y-intercept. In order to find b, you have to substitute x-coordinate and y-coordinate into the equation :

y = mx + b

m = 2

At(-4,3),

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8 0
3 years ago
In a pet store the number of fish is 120 more than three times the number of reptiles. If the pet store has 210 fish, how many r
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4 0
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Find the length of AB. help asap !!!
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Answer:

AB = sqrt 74 = 8.602

Step-by-step explanation:

simple:

a^2+b^2=c^2

5^2+7^2=74

ab=sqrt 74

Formula :

Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2

Solution :

Distance between two points = √(8−3)2+(2−9)2(8-3)2+(2-9)2

= √52+(−7)252+(-7)2

= √25+4925+49

= √7474 = 8.6023

Distance between points (3, 9) and (8, 2) is 8.6023

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3 years ago
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