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Amiraneli [1.4K]
3 years ago
14

Two marbles are drawn without replacement from a box with 3 white, 2 green, 2 red, and 1 blue marble. Find the probability that

the second marble is red when given the first marble is white.
Mathematics
1 answer:
ANEK [815]3 years ago
3 0
<h3>Answer:  2/7</h3>

Explanation:

3 white + 2 green + 2 red + 1 blue = 8 total

We're told the first marble is white, so there are now 8-1 = 7 total

The probability of picking red on the second selection, based on the given info, is 2/7 since we have 2 red marbles out of 7 total leftover. The answer would be 2/8 = 1/4 if we didn't know what the color of the first marble was.

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Which equation represents a line that passes through (-9, -3) and has a slope of -6?
eimsori [14]

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

here m = - 6 and (a, b) = (- 9, - 3), so

y - (- 3) = - 6(x - (- 9)), that is

y + 3 = - 6(x + 9)

8 0
3 years ago
Read 2 more answers
If x and x+ 10 are a pair of adjacent angle find them ​
ikadub [295]

Answer:

85° and 95°

Step-by-step explanation:

Given that , x and x + 10 are a pair of angles .

  • If they will be pair of angles on the same line , then their sum will be 180° .

=> x + x + 10° = 180°

=> 2x = 180° -10°

=> 2x = 170°

=> x = 170°/2

=> x = 85° .

<h3><u>Hence </u><u>the </u><u>two </u><u>angles</u><u> </u><u>are </u><u>8</u><u>5</u><u>°</u><u> </u><u>and </u><u>9</u><u>5</u><u>°</u><u> </u><u>.</u></h3>
5 0
3 years ago
The sum of the first n terms of an arithmetic sequence is n/2(4n + 20).
lesantik [10]

Answer:

(a).

S_{n} =  \frac{n}{2} (4n + 20) \\  \\S _{n - 1} =  \frac{(n - 1)}{2} (4n - 4 + 20) \\  \\ S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16) \\  \\S _{n - 1} = \frac{(n - 1)(4n + 16)}{2}  \\   \\  { \boxed{S _{n - 1} =  {2 {n}^{2} + 6n - 8}}} \\

(b).

from general equation:

S _{n - 1} =  \frac{(n - 1)}{2} (4n + 16)

first term is 4n

common difference:

16 =  \{(n - 1) - 1 \}d \\ 16 = (n - 2)d \\ d =  \frac{16}{n - 2}

8 0
3 years ago
A share of stock in the Lofty Cheese Company is quoted at 25 1/4. Suppose you hold 30 shares of that stock, which you bought at
Marizza181 [45]
I don't know the options, but I can say this:

if you bought it at 20 1/4 and you sell them at 25 1/4 then your win pro stock is the difference between those two numbers, which is 5. (25 1/4-20 1/4 =5)

and if you sell all of them, your profit will be 30*5=150 dollars.
6 0
4 years ago
Decide whether the two expressions are equivalent for each problem below.
sashaice [31]
C and d are equivalent
3 0
3 years ago
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