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Evgen [1.6K]
3 years ago
5

Randy has 4 pennies, 2 nickles, and 3 dimes in his pocket. If he randomly chooses 2 coins, what is the probability that they are

both dimes if he doesn’t replace the first one?
Mathematics
2 answers:
Aleksandr-060686 [28]3 years ago
8 0

Answer:

1/27

Step-by-step explanation:

If he has 9 coins in total which gives him a 1/9 chance to pull any random coin he would also have a 1/3 chance to pull a dime from the given 9 coins. YOu multiply the likelihood of the situations together to get a final probablity of 1/27

eduard3 years ago
6 0

Answer:

1/12

Step-by-step explanation:

This is a case of joint probability.

There are a total of (4 + 2 + 3) coins in his pocket:  9 coins.

The prob. of his choosing a dime on the first selection is 3/9, or 1/3, since there are 3 dimes out of a total of 9 coins.

Now there are 8 coins, 2 of which are dimes.  The prob. of choosing a dime on the 2nd selection is 2/8, or 1/4.

The joint probability is thus (1/3)(1/4) = 1/12.

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What is the value of x?
m_a_m_a [10]

Answer :

98°

Step by step explanation :

As we can see in figure,

∠F = 53°

∠H = 45°

So,

\:\mathsf{∠FGH\: +\: ∠GHF \:+ \:∠HFG\: = \:180°}

[Angle sum property, which states that the sum of all the angles of a triangle is 180°]

=> ∠FGH + 45° + 53° = 180°

=> ∠FGH = 180° - 98°

=> \:\bf\boxed{∠FGH\: =\:82°}

Now,

∠x + ∠FGH = 180°

[linear pair]

=> ∠x = 180° - 82°

=> \:\bf\boxed{∠x\: =\:98°}

<h2><u>Alternative Method :</u></h2>

We know that sum of two opposite interior angles is equal to the exterior angle.

So

∠x = ∠GHF + ∠HFG.

=> ∠x = 45 ° + 53°

=> \:\bf\boxed{∠x\: =\:98°}

Hope this helps!

6 0
2 years ago
Need help ASAP thankyou
jonny [76]

Answer:

The only help I can give on this one is all the angles added up should be 180

Step-by-step explanation:

Hope this helps a bit :)

7 0
3 years ago
What matrix multiplication is possible ?
gizmo_the_mogwai [7]

Answer:

Firstly, it is important to note that the multiplication of matrices is done in this way:

Columns x Rows or viceversa

Now, two matrices can be multiplied only if their dimensions are compatible, which means that the number of columns in the first matrix must be​​ equal to the number of rows in the second matrix.

In other words:

Two matrices A and B are said to be multiplies if the number of columns in A coincides with the number of rows in B.

In this context, the correct option is:

\left[\begin{array}{c}1&-1\end{array}\right] \left[\begin{array}{cc}0&4\end{array}\right]

Where A is:

\left[\begin{array}{c}1&-1\end{array}\right]

And B is:

\left[\begin{array}{cc}0&4\end{array}\right]

As you can see, the number of columns in A coincides with the number of rows in B

8 0
3 years ago
The price of a computer component is decreasing at a rate of ​12% per year. State whether this decrease is linear or exponential
Pie

Answer:

In three years, cost (Value) = 47.70

Step-by-step explanation:

When the decrease is relative to the last value, it is exponential.

Depreciations are usually exponential.

In three years,

Value = 70*(1-0.12)^3

= 47.70

3 0
3 years ago
How many significant digits are there in the number 5.0500? A. 3 B. 4 C. 5 D. 6
bixtya [17]

Answer:

C

Step-by-step explanation:

1)Non- zeros (1,2,3,....) are always significant.

2)Captive zeros are significant too( zeros between non- zeros ).

3)Trailing zeros (zeros at the end) aren't significant always unless if there is a decimal point.

Such this question we have decimal point so we count them

8 0
3 years ago
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