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Sergio [31]
3 years ago
7

An arc of a circle is 3πm long, and it subtends an angle of 72° at the center of the circle. Find the radius of the circle.

Mathematics
1 answer:
Artist 52 [7]3 years ago
7 0

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

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Answer:

a reflection over the x-axis

Step-by-step explanation:

say you plotted (1,1) and the plotted (-1,1). The result would be a reflection over the x-axis.

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3 years ago
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What is the probability that more than twelve loads occur during a 4-year period? (Round your answer to three decimal places.)
Nataly_w [17]

Answer:

Given that an article suggests

that a Poisson process can be used to represent the occurrence of

structural loads over time. Suppose the mean time between occurrences of

loads is 0.4 year. a). How many loads can be expected to occur during a 4-year period? b). What is the probability that more than 11 loads occur during a

4-year period? c). How long must a time period be so that the probability of no loads

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4-year period is given by:1 - [P(k = 0) + P(k = 1) + P(k = 2) + . . . + P(k = 11)]= 1 - [0.000045 + 0.000454 + 0.002270 + 0.007567 + 0.018917 + 0.037833 + 0.063055 + 0.090079 + 0.112599 + 0.125110+ 0.125110 + 0.113736]= 1 - 0.571665 = 0.428335 Therefore, the probability that more than eleven loads occur during a 4-year period is 0.4283Part C:The time period that must be so that the probability of no loads occurring during that period is at most 0.3 is obtained from the equation:Therefore, the time period that must be so that the probability of no loads

occurring during that period is at most 0.3 is given by: 3.3 years

Step-by-step explanation:

8 0
3 years ago
Maria plants 8 tulip bulbs. She gives 3 of the bulbs to her neighbor. What fraction of her bulbs does she give?
Margarita [4]
3/8

A fraction is a mathematical symbol to represent part of a whole. There are 8 tulips, which is the whole. 3 is the part. So it is 3/8. Hope this helps! :)
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3 years ago
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From which source can investors access accurate information about the market prices and movement of stocks?
Nadusha1986 [10]
A, financial newspapers.
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Customer account numbers for a certain company consists of 3 letters followed by 5 numbers how many different account numbers ar
Arturiano [62]

Answer:

1,757,600,000

Step-by-step explanation:

company consists of 3 letters followed by 5 numbers how many different account numbers are possible if repetitions of letters and digits are allowed.

We have 26 lettrs and 10 digits

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So, the possible accounts are = 26³ * 10⁵ = <u>1,757,600,000</u>

5 0
3 years ago
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