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Alex17521 [72]
2 years ago
14

A boat travels 4 miles downstream in half an hour, and the same distance upstream in 2 hours. What is the speed of the boat in s

till water?
Mathematics
1 answer:
denis23 [38]2 years ago
6 0

Answer:

7/3 mph

Step-by-step explanation:

knowing that:

distance traveled = velocity * time - velocity of the water * time

4 = v1 * 1.5 + v2 * 1.5

4 = v1 * 2 - v2 * 2

solve the system in any way you want,

v1 = 7/3 miles per hour

v2 = 1/3 miles per hour

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Find the missing side lengths. Leave your answer as radicals in simplest form.
timurjin [86]

Answer:

Solution given:

b=9 base side of isosceles triangle

a=\sqrt{9²+9²}=9\sqrt{2}

8 0
2 years ago
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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
explain how you can mentally determine whether 125 x 0.9 is less than, greater than, or equal to 125.
Citrus2011 [14]
Anything times 1 is equal to itself. Anything times less than one is less than itself. Anything times greater than one is greater than itself. Therefore, 125 times .9, which is less than one, is less than 125
3 0
3 years ago
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Ksenya-84 [330]
Issa 3d shape called a triangular pyrimid
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3 years ago
Find the 85th term of the arithmetic sequence – 25, -37, -49, ...
nasty-shy [4]

Answer:

a(85) = -1033

Step-by-step explanation:

Explicit Arithmetic Sequence:

an = a1 + d(n-1)

d = -12 (by -37 + 25)

a(85) = -25 + -12(85-1)

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3 years ago
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