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kenny6666 [7]
3 years ago
7

12. A drawer contains 2 red socks, 6 white socks,

Mathematics
1 answer:
777dan777 [17]3 years ago
3 0

Answer:

Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

Step-by-step explanation:

Number of red socks = 2

Number of white socks = 6

Number of blue socks = 4

Total socks in drawer = 2+6+4 = 12

The formula used to calculate probability is: Probability=\frac{Number \ of \ favourable \ outcomes}{Total \ number \ of  \ outcomes}

We are given you draw out a  sock, return it, and draw out a second sock.

We need to find the probability that the first sock is blue and the  second sock is red?

Using formula:

Probability that first sock is blue = 4/12 = 1/3 = 0.33

Probability that second sock is red = 2/12 = 1/6 = 0.16

So, Probability that first sock is blue is 0.33 and Probability that second sock is red is 0.16

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Plz help asap this table represent a quadratic function with a vertex a (1,2) what is the average rate of change for the interva
Advocard [28]

Answer:

9

Step-by-step explanation:

Given that (1, 2) is the vertex of the function represented by the table of values above, the rate of change for the interval from x = 5 to x = 6.

f(5) = 18

f(6) = ?

=>Find f(6) using the vertex form function, f(x) = a(x - h)² + k

Where, h and k are the given vertex of the function = (1, 2).

h = 1, k = 2

Thus,

f(x) = a(x - 1)² + 2

Find the value of a by using any of the points given in the table.

Using (3, 6), we have the following,

6 = a(3 - 1)² + 2

6 = a(2)² + 2

6 = 4a + 2

Subtract 2 from both sides

6 - 2 = 4a

4 = 4a

Divide both sides by 4

1 = a

a = 1

Let's find f(6) using f(x) = a(x - 1)² + 2

Plug the value of a and x

f(6) = 1(6 - 1)² + 2

f(6) = 25 + 2

f(6) = 27

==>Find the rate of change/slope

f(5) = 18

f(6) = 27

Rate of change =

\frac{f(6) - f(5)}{6-5}

\frac{27- 18}{6-5}

\frac{9}{1}

Rate of change = 9

4 0
4 years ago
0ut of 30 litres of milk, bought for rs 15.50 per litre ,4 litres are lost by leakage. what is gained by selling the remainder a
Fudgin [204]

Answer:

55 Rs.

Step-by-step explanation:

cost of the milk:

15.5 x 30 = 465 Rs.

Gross sales of the milk:

26 x 20 = 520 Rs.

Profit:

520 - 465 = 55 Rs.

4 0
3 years ago
Marvin has read 8% of the novel he started reading last Saturday. Which decimal is equivalent to the percentage of the novel Mar
timama [110]

Answer:

0.8 or 0.08 i believe

Step-by-step explanation:

hope this helps!

8 0
3 years ago
Linear function model
deff fn [24]

Answer:

f(x) = 800 - 75x

Step-by-step explanation:

Rachel took a loan of 800 dollars | Money Owed: f(x) = 800

She pays back 75 dollars a week <-> (x) | Money Owed: f(x) = 800 - 75x

7 0
3 years ago
Please help and I will give Brainliest!!!!!!!!!
anastassius [24]

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Step-by-step explanation:

Let us revise the translation

  • If the point (x , y) translated horizontally to the right by h units  then its image is (x + h , y)
  • If the point (x , y) translated horizontally to the left by h units  then its image is (x - h , y)
  • If the point (x , y) translated vertically up by k units  then its image is (x , y + k)
  • If the point (x , y) translated vertically down by k units  then its image is (x , y - k)

(x , y) → (x ± h , y ± k) the right arrow symbol used to show the

translation from a point to its image

Example:

∵ P (0 , 0) → P' (1 , 2)

∴ The rule is (x , y) → (x + 1 , y + 2)

Let us find the translation rule that maps point D ( 7 , − 3 ) onto

point D' (2 , 5)

∵ Point (x , y) = (7 , -3)

∵ Its image after translation (x + h , y + k) = (2 , 5)

∴ x + h = 2

∵ x = 7

∴ 7 + h = 2

- Subtract 7 from both sides

∴ h = -5

∵ y + k = 5

∵ y = -3

∴ -3 + k = 5

- Add 3 to both sides

∴ k = 8

∴ The rule of translation is (x , y) → (x - 5 , y + 8)

The translation rule that maps point D ( 7 , − 3 ) onto point D ' ( 2 , 5 )

is (x , y) → (x - 5 , y + 8)

Learn more:

You can learn more about translation in brainly.com/question/2451812

#LearnwithBrainly

4 0
4 years ago
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