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4 years ago

Integral sqrt(4+3x) dx

1 answer:

3 0

Let 4 + 3x = u

then 3dx = du

or, 1/3∫u√du

= 1/3u^3/2/(3/2)

= 2/9∗(4+3x)^3/2

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An airline tracks data on its flight arrivals. Over the past six months, 25 flights on one route arrived early, 150 arrived on t

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Answer: a) 0.0625,0.375,0.1125,0.075 respectively.

b) Yes, they are mutually exclusive

c) 0.4375.

Step-by-step explanation:

Since we have given that

Number of flights on one route arrived early = 25

Number of flights arrived on time = 150

Number of flights were late = 45

Number of flights were cancelled = 30

Total number = 25+150+150+45+30 = 400

We need to find the probability that a flight is early is given by

$\dfrac{25}{400}\\\\=0.0625$

Probability that a flight is on time is given by

$\dfrac{150}{400}=0.375$

Probability that a flight is late is given by

$\dfrac{45}{400}=0.1125$

Probability that a flight is cancelled is given by

$\dfrac{30}{400}=0.075$

They are mutually exclusive as they have no dependence.

Probability that a flight is either early or on time is given by

$\dfrac{25}{400}+\dfrac{150}{400}\\\\=\dfrac{175}{400}\\\\=0.4375$

Hence, a) 0.0625,0.375,0.1125,0.075 respectively.

b) Yes, they are mutually exclusive

c) 0.4375.

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3 years ago

Charlie is filling out a job application, and he needs to give the hourly wage of his last job as a manicurist. At that job, he

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Since he is paid per manicure, it is piece rate

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Question Write the following function in terms of its cofunction. tan(78)

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Jose wants to build a model of a 18-meter tall building. He will be using a scale

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You have to use a proportion.

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3 years ago

I'm in dire need of help with this question.

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Hey!!

here comes the answer >>>

Corresponding angles are the ones , which sum up to 180° the given question is angle C and angle F , H and A , D and E , B and G

C and F
H and A
D and E
B and G

Vertical angles = called as the vertical opposite angles , both these angles are the same!.

So the angles are ,

A and C
B and D
E and G
F and H

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3 years ago

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