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marishachu [46]
2 years ago
14

Please help I do not know how to do this

Mathematics
2 answers:
DerKrebs [107]2 years ago
6 0

Answer:

m<b = 23

Step-by-step explanation:

Complementary angles have a sum of 90, so subtract 67 from 90 to get the measurement of the other angle.

stepan [7]2 years ago
3 0

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90° , then

a + b = 90° , that is

67° + b = 90° ( subtract 67° from both sides )

∠ b = 23°

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coin $a$ is flipped three times and coin $b$ is flipped four times. what is the probability that the number of heads obtained fr
ivolga24 [154]

The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.

Probability:

Probability means the fraction of favorable outcome and the total number of outcomes.

So it can be written as,

Probability = Favorable outcomes / Total outcomes

Given,

The coin a is flipped three times and coin b is flipped four times.

Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.

We know that,

There are 4 ways that the same number of heads will be obtained;

0, 1, 2, or 3 heads.

The probability of both getting 0 heads is

$\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$

Probability of getting 1 head,

$\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$

Probability of getting 2 heads is,

$\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$

And the probability of getting 3 heads is,

$\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$

Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,

=> (1/128) + (12/128) + (18/128) + (4/128)

=> 35/128.

To know more about probability here

brainly.com/question/14210034

#SPJ4

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