Answer:
1st scenario: 163.3°
2nd scenario: 125.2°
3rd scenario: 142.3°
Step-by-step explanation:
1st scenario: angles 1 and 2 form a linear pair and add up to 180
2nd scenario: angles 1 and 4 are same-side interior and add up to 180
3rd scenario: angles 1 and 8 are corresponding and equal; if angle 7 is 37.7 then angle 8 is 142.3 (they form a linear pair). Since angles 1 and 8 are equal then angle 1 is also 142.3
Answer: D
142
Step-by-step explanation:
The probability that at least one of the calculators is defective is : 0.725
<h3>What is probability?</h3>
Probability is the likelihood of an event happening or not.
if there is certainty that the event would happen probability is 1.
Analysis:
probability = required outcome/possible outcome
for 33 good calculators and 12 defective calculators, total calculators = 45
4 calculators were chosen, possible outcome = 45C4 = 148995
Required outcome = 33C3 . 12C1 + 33C2 . 12C2 + 33C1 . 12C3 + 33C0 . 12C4
= 65472 + 34848 + 7260 + 495 = 108075
Probability = 108075/148995 = 0.725
Learn more about Probability: brainly.com/question/25870256
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Answer:
- (5, 9)
- (5, 6)
- (-5,-6)
- (5, -9)
- (-9, -5)
Step-by-step explanation:
Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).
Vertex form: f(x) = a(x -h)^2 +k
__
f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)
f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)
f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)
f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)
f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)
Answer:
a) 6°C
b) upward
Step-by-step explanation:
a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:
maximum temperature: 18 °C
minimum temperature: 12 °C
Then:
range of temperatures: 18-12 = 6°C
b) The trend is upward because, given any temperature, the next one is higher.
