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LuckyWell [14K]
3 years ago
5

Monarch butterflies flap their wings about 12 times a second in

Mathematics
1 answer:
Inessa [10]3 years ago
8 0
Remember: 60 seconds in a minute, 60 minutes in one hour.
So if butterflies flap 12 times per second, multiply that number by 60 to get how many times the butterfly flaps their wings in a minute. then, multiply that number by 60 again to get the flaps of number per minute.
12x60=720x60=43,200
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Find x, round to the nearest tenth degree.
Romashka [77]

Answer:

Step-by-step explanation:

Use the Law of Cosines

A = arccos[(10²+14²-9.6²)/(2×10×14) ≅ 43.3°

5 0
3 years ago
70x 6,000 as associative
Vinvika [58]

Answer:

70 x 6000 = 6000 x 70

Explanation:

The associative of multiplication means the items can be regrouped without changing the answer: a(bc) = (ab)c. This means 70 x 6000 = 70 x 6 x 1000.

5 0
2 years ago
Graph points (- 4, - 1)(4, 3) . Write the equation of the line that passes through the points in slope-intercept form
Reika [66]

Answer:

y = 0.5x + 1

Step-by-step explanation:

4 up, 8 right

rise over run

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6 0
3 years ago
he amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and s
sp2606 [1]

Complete question:

He amount of time that a customer spends waiting at an airport check-in counter is a random variable with mean 8.3 minutes and standard deviation 1.4 minutes. Suppose that a random sample of n equals 47 customers is observed. Find the probability that the average time waiting in line for these customers is

a) less than 8 minutes

b) between 8 and 9 minutes

c) less than 7.5 minutes

Answer:

a) 0.0708

b) 0.9291

c) 0.0000

Step-by-step explanation:

Given:

n = 47

u = 8.3 mins

s.d = 1.4 mins

a) Less than 8 minutes:

P(X

P(X' < 8) = P(Z< - 1.47)

Using the normal distribution table:

NORMSDIST(-1.47)

= 0.0708

b) between 8 and 9 minutes:

P(8< X' <9) =[\frac{8-8.3}{1.4/ \sqrt{47}}< \frac{X'-u}{s.d/ \sqrt{n}} < \frac{9-8.3}{1.4/ \sqrt{47}}]

= P(-1.47 <Z< 6.366)

= P( Z< 6.366) - P(Z< -1.47)

Using normal distribution table,

NORMSDIST(6.366)-NORMSDIST(-1.47)

0.9999 - 0.0708

= 0.9291

c) Less than 7.5 minutes:

P(X'<7.5) = P [Z< \frac{7.5-8.3}{1.4/ \sqrt{47}}]

P(X' < 7.5) = P(Z< -3.92)

NORMSDIST (-3.92)

= 0.0000

3 0
2 years ago
What is the answer for -2y=3/4
ElenaW [278]

Answer: y= -3/8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation

8 0
3 years ago
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