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slamgirl [31]
3 years ago
15

Solve for x -2(x+1/4)+1=5

Mathematics
2 answers:
Ierofanga [76]3 years ago
4 0
-100000 cause I’m smart
hodyreva [135]3 years ago
4 0
The answer is X = -9/4

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Write a percent proportion where the part and the whole are known
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3 years ago
Aron flips a penny 9 times. Which expression represents the probability of getting exactly 3 heads? P (k successes) = Subscript
Nimfa-mama [501]

The expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

<h2>Given</h2>

Aron flips a penny 9 times.

We have to determine

Which expression represents the probability of getting exactly 3 heads?

<h3>What is binomial distribution?</h3>

The binomial distribution is determined as the probability of mass or discrete random variable which yields exactly some values.

The binomial probability formula shown has variables which represent:

\rm= ^nCr \times p^r\times (1-p)^{n-r}

Where n is the total number of trials (here, we flip penny 9 times, hence n = 9).

r is the number we want to find (here, we want the probability of 3 heads, so r = 3).

p is the probability of success (here, success means getting heads.

So, in a coin flip the probability of heads is always 1/2, so p = 1/2).

Therefore,

The expression represents the probability of getting exactly 3 heads is;

\rm= ^nCr \times p^r\times (1-p)^{n-r}\\\\\rm= ^9C3 \times (0.5)^3\times (1-0.5)^{9-3}\\\\= ^9C3 \times (0.5)^3\times (0.5)^{6}

Hence, the expression represents the probability of getting exactly 3 heads is \rm= ^9C_3 \times (0.5)^3\times (0.5)^{6}.

To know more about Binomial Distribution click the link given below.

brainly.com/question/7236644

4 0
3 years ago
Square ABCD is dilated by a scale factor of 2 with the center of dilation at the origin to form square ABCD . What are the coord
kobusy [5.1K]

Answer:

B'(16,14)

Step-by-step explanation:

In square ABCD,  A(2,7) C(8,1) D(2,1). First, find the coordinates of the vertex B. From the attached diagram you can see that CD=6 units and is parallel to the x-axis, AD=6 units and is parallel to the y-axis. So, B(8,7).

The origin O is the center of dilation, 2 is the scale factor. The rule of the dilation is

(x,y)→(2x,2y)

Thus,

B(8,7)→B'(16,14) (see attached figure).

8 0
3 years ago
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