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pochemuha
2 years ago
9

Henry is playing with a standard deck of cards. What is the probability that the next card he flips over is a jack or red?

Mathematics
1 answer:
Anastasy [175]2 years ago
6 0

Answer:

0.54

Step-by-step explanation:

In Probability "OR" means "ADDITION" and "AND" means "MULTIPLICATION"

Here, we want probability of Jack "OR" Red, so we find individual probabilities and then "ADD" them.

There are 26 cards that are RED, half of the deck. So probability of RED CARD is:

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

Now, there are 4 Jacks in the whole deck, 2 red Jack and 2 black Jack. We already accounted for the 2 red jacks, so we have 2 black Jacks at hand. So

P(Jack) = 2/52 = 1/26

Now, we add the 2 probabilities:

P(jack or red) = 1/2 + 1/26 = 13/26 + 1/26 = 14/26 = 0.54 (rounded to 2 decimal places)

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One of two complementary angles measures 30 degrees more than three times the other. Find each angle.
Leviafan [203]

The two complementary angles are:

95° and 15°

Step-by-step explanation:

Let x be one angle

then the other angle will be 90-x

As the sum of complementary angles is 90

So,

then according to statement

x = 3(90-x)+30\\x = 270-3x +30\\x = 300-3x\\x+3x = 300\\4x = 300\\x = \frac{300}[4}\\x = 75\\and\\90 -x = 90 - 75 = 15

The two complementary angles are:

95° and 15°

Keywords: Angles, triangles

Learn more about angles at:

  • brainly.com/question/573382
  • brainly.com/question/570997

#LearnwithBrainly

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3 years ago
Y=-3x+3<br> Y=5x+19<br> Solve this system by substitution
Mars2501 [29]

Answer:

x=-2

Step-by-step explanation:

You can substitute the first equation into the second:

-3x+3=5x+19

Add 3x on both sides:

3=8x+19

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Divide 8 on both sides:

x=-2

5 0
2 years ago
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Five times a number is the same as 30 more than 8 times the number.find the number
Goshia [24]

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

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" 5n = 8n + 30 "

hope it is helpful ✌️!

6 0
2 years ago
(0,-1)(5-2)what is the slope
ruslelena [56]

The formula of a slope m:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points (0, -1) and (5, -2). Substitute:

m=\dfrac{-2-(-1)}{5-0}=\dfrac{-2+1}{5}=-\dfrac{1}{5}

<h3>Answer: The slope = -1/5</h3>
8 0
3 years ago
Jim was thinking of a number. Jim doubles it, then adds 19 to get an answer of 70.1. What was the original number?
Novosadov [1.4K]

Answer:

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Step-by-step explanation:

Let us take the number he thinked of be x .

<u>On </u><u>doubling</u><u> </u><u>it </u><u>:</u><u>-</u><u> </u>

→ N = 2x

<u>On </u><u>adding</u><u> </u><u>1</u><u>9</u><u> </u><u>:</u><u>-</u><u> </u>

→ N = 2x + 19

<u>According</u><u> to</u><u> Question</u><u> </u><u>:</u><u>-</u><u> </u>

→ 2x + 19 = 70.1

→ 2x = 70.1 - 19

→ 2x = 51.1

→ x = 51.1/2

→ x = 25.55

<h3>Hence the required answer is 25.55</h3>
5 0
2 years ago
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