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Mademuasel [1]
3 years ago
5

If ∠2 = 3x + 20 and ∠3 = 2x, what is the value of x

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
8 0

well if angle 2 and three are verticle angles, x=-20, if they are adjacent, x=160/3

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The probability of Andy and Anna having lunch together is 40%. The probability of them having lunch together at least 6 days a w
Yakvenalex [24]
The probability of having lunch together is p = 40% = 0.4
The probability of not having lunch together is q = 1 - p = 0.6

Number of trials (days in a week) is n = 7
Let r = number of days in the week when Andy and Anna have lunch together.
P(r\,of\,n)=_{n}C_{r}\,p^{r}q^{n-r}

Use th graphing calculator to obtain
P(6 of 7) = ₇C₆ (0.4)⁶(0.6) = 0.017
P(7 of 7) = ₇C₇ (0.4)⁷(0.6)⁰ = 0.002


Therefore
P(at least 6 of 7) = P(1 of 7) + P(2 of 7) + ... + P(6 of 7)
 = 0.131 + 0.261 + 0.290 + 0.194 + 0.077 + 0.017 
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P(at least 6 of 7) = 0.017 + 0.002 = 0.019 = 1.9%
P(exactly 6 of 7) = 0.017 or 1.7%

Answer:
The probability of having lunch at least 6 days per week is 0.019 or  1.9%.
The probability of having lunch exactly 6 times is 0.017 or 1.7%

8 0
3 years ago
-4b + 8c + 12 - 8b - 2c + 6. what is the value of the expression when b=2 and c= -3? Enter your answer.
Zarrin [17]

Answer:

The answer is negative 24.

Step-by-step explanation:

(−4)(2)+(8)(−3)+12−(8)(2)+(−2)(−3)+6

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I hope this helps you with your question

7 0
3 years ago
What is the height of the cylinder in the diagram? Round your answer to the nearest whole number. Done Clear cylinder with radiu
Allisa [31]
Area of a circle = π * r²:
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904.78 / 113.09 = 8.00 (rounded)

The height is 8.00 cm

Hope this helps! :)
3 0
3 years ago
Read 2 more answers
Which statement cannot be justified by one of the properties of real numbers
nexus9112 [7]
The answer would be B because it demonstrates the fact that if a is decreased by the quotient of b and c then the second expression wouldn't result into that same answer due to the different arrangements of the signs.

6 0
3 years ago
A 1050-kg car travels on the freeway at a speed of 33 m/s. What is the cars kinetic energy ?
xenn [34]

9514 1404 393

Answer:

  571,725 J

Step-by-step explanation:

KE = 1/2mv²

KE = 1/2(1050 kg)(33 m/s)² = 571,725 J

5 0
2 years ago
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