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Fudgin [204]
3 years ago
13

Peter selects a sock from his drawer. The sock is black. There are 4 white socks, 7 blue socks, and 12 black socks left in the d

rawer. He selects a second sock from the drawer without looking . Is it likely Peter selects a sock of the same color?
Mathematics
1 answer:
max2010maxim [7]3 years ago
3 0

Answer:

5/12

7/12

125/36 = 3,47%

50/11 = 4,54%

Step-by-step explanation:

Probability a black sock is selected when a person chooses 1 sock = 5/12

Probability a white or brown sock is selected when a person chooses 1 sock =

7/12

Probability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12)*100 =125/36 = 3,47%

Pobability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3/ 10)*100 = 50/11 = 4,54%

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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
inn [45]

Answer: The height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

Step-by-step explanation:

Let x= height of each fir tree, y = height of each pine tree.

As per given, we have

x+y = 21          (i)

4x=y+24        (ii)

From (ii),

4x-y=24            (iii)

Add (i) and (iii), we get

5x=45\\\\\Rightarrow\ x=\dfrac{45}{5}\\\\\Rightarrow\ x=9

Put value of x in (i), we get

9+y=21\Rightarrow y=12

Hence, the height of each fir tree is 9 meters, and the height of each pine tree is 12 meters.

3 0
2 years ago
Read 2 more answers
What is the x-intercept of the line in the equation 4x+2y=12
Fynjy0 [20]
I think that x=2 and so does y=2. Hope that answers your question.
3 0
3 years ago
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Betsy is shopping for a new rug, and she finds a square rug that she wants to purchase for her living room. Before purchasing th
Alika [10]

Options:

A.) square root

B.) exponential

C.) absolute value

D.) cube root

Answer : A) square root

We know area of square having side 's' = s* s = s^2

For example

Area of square =  16 cm^2

To find side we take square root

Area = (side)^2

16 = (side)^2

Take square root on both sides

\sqrt{16}= \sqrt{side^2}

4= side

Betsy knows that the area of the rug is A square feet.

Area A = (side)^2

\sqrt{A} = side

So answer is square root.

6 0
3 years ago
Read 2 more answers
Right triangles abc and dbc with right angle c are given below. If cos(a)=15,ab=12 and cd=2, find the length of bd.
dmitriy555 [2]

see the attached figure to better understand the problem

we have that

cos(A)=\frac{1}{5} \\ AB=12\ units\\ CD=2\ units

Step 1

<u>Find the value of AC</u>

we know that

in the right triangle ABC

cos (A)=(AC/AB)\\AC=AB*cos(A)

substitute the values in the formula

AC=12*(1/5)\\ AC=2.4\ units

Step 2

<u>Find the value of BC</u>

we know that

in the right triangle ABC

Applying the Pythagorean Theorem

AB^{2} =AC^{2}+BC^{2}\\ BC^{2}=AB^{2} -AC^{2}

substitute the values

BC^{2}=12^{2} -2.4^{2}\\BC^{2}= 138.24\\ BC=11.76\ units

Step 3  

<u>Find the value of BD</u>

we know that

in the right triangle BCD

Applying the Pythagorean Theorem

BD^{2} =DC^{2}+BC^{2}

substitute the values  

BD^{2} =2^{2}+11.76^{2}

BD=11.93\ units

therefore

<u>the answer is</u>

the length of BD is 11.93 units

8 0
3 years ago
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What is the value of A, B, and C?
Varvara68 [4.7K]

Answer: a's value is (6,8) B is (-3,7), and C is (-7,-2)

4 0
3 years ago
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