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postnew [5]
4 years ago
6

A drawer contains 4 red socks, 7 white socks, and 11 blue socks. Without looking, you draw out a sock and then draw out a second

sock without returning the first sock. Find P(red, then white).
Mathematics
1 answer:
Nana76 [90]4 years ago
8 0
Total socks = 4 + 7+ 11 = 22
Red = 4
White = 7

P(red, then white) = (4/22)(7/21) = 2/33

Answer: 2/33
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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
3 years ago
Tell whether (2,0) is a solution of y=7x+ 2.
sattari [20]

Answer:

No

Step-by-step explanation:

7x2=14, 14+2=16, 16 is not 0.

5 0
3 years ago
Read 2 more answers
The sum of 2 consecutive integers is -33.If n is the first integer,which equation best models the situation?
monitta

Answer:

You can choose which equation below suits your taste but I recommend the 2n + 1 = -33.

Step-by-step explanation:

(n) + (n + 1) =  - 33 \\ 2n + 1 =  - 33 \\ 2n =  - 32 \\ n =  - 16

5 0
3 years ago
Convert 5/6 hour to minutes 1 hour = 60 mins.
masya89 [10]

Answer:

50 minutes.

Step-by-step explanation:

We solve this question by proportions, using rule of three.

One hour is 60 minutes.

5/6 hour

This is:

\frac{5}{6}*60 = \frac{5*60}{6} = 5*10 = 50

50 minutes.

3 0
3 years ago
Pls help me I’ll give out brainliest please dont answer if you don’t
Mkey [24]

Answer:

7x + 8 = 12 - 3x

Step-by-step explanation:

8 0
3 years ago
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