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muminat
3 years ago
6

Suppose you have a drawer full of white, black, and yellow pairs of socks. If the probability of picking a white pair of socks i

s 4/9, and the probability of picking a black pair of socks is 7/18, what is the probability of picking a yellow pair of socks?
a. 1/6
b 5/25
c 7/15 d 16/27
Mathematics
1 answer:
klasskru [66]3 years ago
3 0
A. 1/6

If you turn 4/9 into 8/18 that would make it easier to figure out because you would have the same denominator.
So then you can add 8/18 and 7/18 to get 15/18 so you know that whats left (3/18) id the probobility of yellow socks. If you simplify 3/18 you get 1/6.
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An equiangular triangle has one side of length six inches. What is the height of the triangle, drawn from that side, to the near
tino4ka555 [31]

Answer:

The height of the triangle is 5.2 inches

Step-by-step explanation:

we know that

An <u>equiangular triangle</u> is a triangle where all three interior angles are equal in measure

Remember that an equilateral triangle has three equal sides and three equal interior angles

so

An equiangular triangle Is the same that an equilateral triangle. The measure of its interior angles is equal to 60 degrees

Let

h ----> the height of triangle

b ---> the length side of the triangle

Applying Pythagoras Theorem

h^2=b^2-(b/2)^2

we have

b=6\ in

substitute

h^2=6^2-(6/2)^2

h^2=36-9

h^2=27

h=\sqrt{27}\ in

h=5.2\ in

see the attached figure to better understand the problem

5 0
3 years ago
550 tickets were sold for a game for a total of $712.50. If adult tickets sold for $1.50 and children's tickets sold for $1.00,
EastWind [94]

9514 1404 393

Answer:

  • adult: 325
  • children's: 225

Step-by-step explanation:

It usually works well to let a variable represent the higher-value item in the mix. Here, we can let 'a' represent the number of adult tickets sold. Then the total revenue is ...

  1.50a +1.00(550 -a) = 712.50

  0.50a = 162.50 . . . . . . . . . . . . . subtract 550 and collect terms

  a = 325

  c = 550 -325 = 225

325 adult and 225 children's tickets were sold.

4 0
3 years ago
Find an explicit formula for the following sequence, an which starts with a1=2/3. 2/3,3/4,4/5,5/6,…
Flura [38]

Answer:

Step-by-step explanation:

a1=2/3

sequence is 2/3,3/4,4/5,...

for numerator a1=2

d=3-2=1

numerator of nth term=a1+(n-1)d=2+(n-1)×1=2+n-1=n+1

denominator = 1 more than numerator=n+1+1=n+2

so an=(n+1)/(n+2)

or for denominator a1=3,d=4-3=1

denominator of nth term=3+(n-1)×1=3+n-1=n+2

an=(n+1)/(n+2)

6 0
3 years ago
Otto had two days to paint 9 paintings. He painted 5 1\5 yesterday. How many paintings does Otto need to paint today?
enot [183]

Answer:

He needs to paint 3 4/5 today.

Step-by-step explanation:

9 - 5 1/5 = 3 4/5

Otto will need to paint 3 4/5 today.

4 0
2 years ago
Read 2 more answers
17.25 round up to ones
Irina18 [472]
17.24

Since 7 comes after 5 we need to round to the next number.....18.00

17.24 rounded to ones = 18.00

Hope I helped:P

7 0
3 years ago
Read 2 more answers
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