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borishaifa [10]
3 years ago
14

You draw a card at random from a deck that contains 3 black cards and 7 red cards.

Mathematics
1 answer:
Leni [432]3 years ago
5 0

The P(draw a black card) is 3/10.

<u>Step-by-step explanation:</u>

It is given that the deck contains 3 black cards and 7 red cards.

Therefore, the total number of cards in the deck = 7 red + 3 black = 10 cards.

Now, we need to find the possible outcomes of getting a black card. So, the number of black cards in the deck = 3 black cards.

<u>The formula to find the probability is given by :</u>

Probability = Number of required event / Total number of outcomes.

Here, the required event is getting a black card out of 10 cards in the deck.

  • The number of required event is 3.
  • The total number of outcomes is 10.

Probability (to draw black card) = 3/10.

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SOMEONE HELP PLEASE! ASAP!
Luba_88 [7]
When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
{x}^{2}  - 6x = 1\div2 \: x + 42 \\  {x}^{2}  - 6x - 1 \div 2 \: x = 42 \\  {x}^{2}  - 6.5x = 42
{x}^{2}  - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2}  - 6.5x - 42) = 2(0)
2 {x}^{2}  - 13x - 84 = 0
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
2 {x}^{2}  - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
{x}^{2}  - 6x =  {(10.5)}^{2}  - 6(10.5) \\  = 110.25 - 63 = 47.25
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
{( - 4)}^{2}  - 6( - 4) = 16 + 24 = 40
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°


6 0
3 years ago
Help me yall pls I need to graduate
dem82 [27]
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cross multiply

10x=43.5
divide by 10 on each side

x = 4.35

it will take 4.35 minutes
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3 years ago
Darren wants to attend a college that costs $15,000 per year. His parents have enough money saved to pay for 45% of his costs fo
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2 years ago
The set of data 9,6,12,13,9,8,13,14,h and k has a mode of 9 and a median of 10. Find the value of h and of k if h &lt; k.
Nata [24]

Step-by-step explanation:

9,6,12,13,9,8,13,14,h, k

mode = 9, so the h could be 9.

=> the set of data :

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median = 10 , so (9+k) /2 = 10

9+k = 20

k = 20-9

k = 11

the correct answer :

h = 9 and k = 11

7 0
2 years ago
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