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2 years ago

Please answer the question attached, marking brainliest (serious answers only)

Mathematics

2 answers:

Mandarinka [93]2 years ago

8 0

Step-by-step explanation:

By Exterior Angle Theorem,

81° + b = 117°.

=> b = 117° - 81° = 36°.

Elden [556K]2 years ago

5 0

Answer:

b = 36

Step-by-step explanation:

a+117 = 180 ( being straight angle)

a = 180 - 117

a = 63

Now,

81 + 63 + b = 180 ( being sum of interior of triangle)

144 + b= 180

b = 180 - 144

b 36

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At an airport, 76% of recent flights have arrived on time. A sample of 11 flights is studied. Find the probability that no more

I am Lyosha [343]

Answer:

The probability is $P( X \le 4 ) = 0.0054$

Step-by-step explanation:

From the question we are told that

The percentage that are on time is p = 0.76

The sample size is n = 11

Generally the percentage that are not on time is

$q = 1- p$

$q = 1- 0.76$

$q = 0.24$

The probability that no more than 4 of them were on time is mathematically represented as

$P( X \le 4 ) = P(1 ) + P(2) + P(3) + P(4)$

=> $P( X \le 4 ) = \left n } \atop {}} \right.C_1 p^{1} q^{n- 1} + \left n } \atop {}} \right.C_2p^{2} q^{n- 2} + \left n } \atop {}} \right.C_3 p^{3} q^{n- 3} + \left n } \atop {}} \right.C_4 p^{4} q^{n- 4}$

$P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{11- 1} + \left 11 } \atop {}} \right.C_2p^{2} q^{11- 2} + \left 11 } \atop {}} \right.C_3 p^{3} q^{11- 3} + \left 11 } \atop {}} \right.C_4 p^{4} q^{11- 4}$

$P( X \le 4 ) = \left 11 } \atop {}} \right.C_1 p^{1} q^{10} + \left 11 } \atop {}} \right.C_2p^{2} q^{9} + \left 11 } \atop {}} \right.C_3 p^{3} q^{8} + \left 11 } \atop {}} \right.C_4 p^{4} q^{7}$

$= \frac{11! }{ 10! 1!} (0.76)^{1} (0.24)^{10} + \frac{11!}{9! 2!} (0.76)^2 (0.24)^{9} + \frac{11!}{8! 3!} (0.76)^{3} (0.24)^{8} + \frac{11!}{7!4!} (0.76)^{4} (0.24)^{7}$

$P( X \le 4 ) = 0.0054$

4 0

3 years ago

Mr downs bought a camera for 56$. this was 80% of the list price. what was the list price

Vsevolod [243]

I got 70 as the list price. If it’s multiple choice and 70 isn’t one of the answers I’m sorry

5 0

2 years ago

a directed line segment AB on he coordinate plane starts from A (3, 0) and ends at B (12, -9). Find the y coordinate of point C

Anastaziya [24]

Answer:

The answer to your question is: y = -54 / 11

Step-by-step explanation:

Data

A (3, 0)

B (12, -9)

r = 6/5

Formula

y = $\frac{y1 + ry2}{1 +r}$

y = $\frac{0 + (6/5)(-9)}{1 + 6/5}$

y = $\frac{-54/ 5}{11/5}$

y = -54/11

5 0

2 years ago

Read 2 more answers

How can you tell if a linear equation is proportional?

Snezhnost [94]

Answer:

If the line goes through the origin, (0,0), that means the linear equation is proportional, if it doesn't go through the origin, the equation isn't proportional.

You can also tell if a linear equation is proportional if the equation has an constant after the x (for example y=2x+6)

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3 years ago

MY LAST QUESTION PLEASE HELP<br> Find the measures of a and b in the figure.

ankoles [38]

Answer:

Step-by-step explanation:

62+63=125

180-125=55

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2 years ago