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Vilka [71]
3 years ago
9

there are 3 black marbles in and 4 red marbles in a bag. what is the probability that you will pick two black marbles put of the

bag without replacing the first one?
Mathematics
1 answer:
professor190 [17]3 years ago
5 0

|\Omega|=7\cdot6=42\\ |A|=3\cdot2=6\\\\ P(A)=\dfrac{6}{42}=\dfrac{1}{7}\approx14\%

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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
44 kg of onions cost $308. How much would 30 kg cost?
maks197457 [2]

Answer:

$210

Step-by-step explanation:

Cost of 44kg onions = $308

Cost of 1kg onion = \frac{308}{44}  = 7

Cost of 30kg onions = 30 \times 7 = 210

7 0
2 years ago
The school cafeteria sells 5 gallons of
sasho [114]

Answer: 72 gallons

Step-by-step explanation: I added 5 and 3 then multiplied by 9.

6 0
3 years ago
Read 2 more answers
Order these weights from lightest to heaviest 10 ounces 1 pond and 1 ounce
Alchen [17]
1 ounce, 10 ounces, 1 pound.

1 pound = 16 ounces
6 0
3 years ago
Suppose a scatter plot contains the points (12, 28), (15, 33), (21, 44), (29, 62), and (33, 68). Which of these points would be
yawa3891 [41]

Answer:

Unsure, take a look at the visualisation:

desmos(dotcom)/calculator/fjze0od81o

Replace the (dotcom) with ".com"    (   links are not allowed :(   )

Explanation:

None of the points look as though they are an outlier from the line of linear regression, although (29,62) looks furthest from the line so could be a possible answer although I would probably say there is no outlier.

6 0
3 years ago
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