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Ludmilka [50]
2 years ago
6

Please help!! "Quadrilateral ABCD is inscribed in the circle below. Find the measure of all four angles."~!!!!!

Mathematics
1 answer:
expeople1 [14]2 years ago
8 0
For a cyclic quadrilateral
The opposite angles are supplementary (meaning they sum up to 180 °)
I.e (x +20) ° + 3x ° =180 °
20 + 4x = 180
4x=180 - 20
4x = 160
Divide through by 4
x = 40 °

Angle at point A
(2x + 38) = (2(40) + 38) = 118 °

Angle at point B
3x = 3(40) = 120 °

Angle at point D
x + 20 = 40 + 20 = 60 °

Angle at point C
The total angle in a quadrilateral is 360 °
I.e 118 + 120 + 298 +
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Suppose that you pick a bit string from the set of all bit strings of length ten. Find the probability that a) the bit string ha
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Answer:

  • 45/1024
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Step-by-step explanation:

There are 2^10 = 1024 bit strings of length 10.

a) There are 10C2 = 45 ways to have exactly two 1-bits in 10 bits

  p(2 1-bits) = 45/1024

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b) Of the four (4) possibilities for beginning and ending bits (00, 01, 11, 10), exactly one (1) of those is 00.

  p(b0=0 & b9=0) = 1/4

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c) There are 10C7 = 120 ways to have seven 1-bits in the bit string.

  p(7 1-bits) = 120/1024 = 15/128

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d) ∑10Ck {for k=0 to 4} = 386 is the total of the number of ways to have 0, 1, 2, 3, or 4 1-bits in the string. If there are more than that, there won't be more 0-bits than 1-bits

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e) The string will have two 1-bits if it starts with 1 and there is a single 1-bit among the other 9 bits. There are 9 ways that can happen, among the 512 ways to have 9 remaining bits.

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6 0
3 years ago
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2 years ago
Are 16% of M&M’s Green? Mars, Inc. claims that 16% of its M&M plain candies are green. A sample of 100 M&Ms is rando
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Answer: This result is not unusual.

So, it does not seem that the claimed rate of 16% is  wrong

Step-by-step explanation:

Since we have given that

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and standard deviation would be

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Now, if there are 19 green,

so, we will check how it is far,

\dfrac{19-16}{3.67}=\dfrac{3}{3.67}=0.817

Since it is 0.817 standard deviations away from the mean.

So, this result is not unusual.

So, it does not seem that the claimed rate of 16% is  wrong.

4 0
3 years ago
What is the correct factorization of
Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

3 0
3 years ago
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