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11111nata11111 [884]
1 year ago
9

PLEASE HELP!!!

Mathematics
1 answer:
Wewaii [24]1 year ago
8 0

9514 1404 393

Answer:

  • 2∠15°
  • 2cos(15°) +i·2sin(15°) ≈ 1.93185 +0.517638i

Step-by-step explanation:

Using Euler's formula, the 6th root is easily found.

  (64i)^(1/6) = ((2^6)e^(iπ/2))^(1/6) = 2e^(iπ/12) = 2∠15°

  = 2(cos(15°) +i·sin(15°)) = 2·cos(15°) +i·2·sin(15°) ≈ 1.93185 +0.517638i

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Evaluate the integral. ∫50∫25−x2√−25−x2√∫25−x2−z2√−25−x2−z2√1(x2+y2+z2)1/2dydzdx∫05∫−25−x225−x2∫−25−x2−z225−x2−z21(x2+y2+z2)1/2d
Kipish [7]
Is that a valid question?
4 0
2 years ago
The Polk Company reported that the average age of a car on U.S. roads in a recent year was 7.5 years. Suppose the distribution o
Svetlanka [38]

Answer:

The standard deviation of car age is 2.17 years.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 7.5

(a) If 99.7% of the ages are between 1 year and 14 years, what is the standard deviation of car age?

This means that 1 is 3 standard deviations below the mean and 14 is 3 standard deviations above the mean.

So

14 = 7.5 + 3\sigma

I want to find \sigma

3\sigma = 6.5

\sigma = \frac{6.5}{3}

\sigma = 2.17

The standard deviation of car age is 2.17 years.

8 0
2 years ago
Read 2 more answers
Suppose a scheduled flight must average at least 60% occupancy to be profitable. A sample of 120 flights on a particular route w
garik1379 [7]

Answer: see the graphic

Step-by-step explanation:

A. Type I error helps us to conclude that the flight is not profitable, when in fact it is profitable.

B. a = 0.05

C. Type II error does not show that the flight is profitable

8 0
2 years ago
(1 point) Rework problem 15 in section 2 of Chapter 5 of your textbook about the growing suburb and the declining city using the
Vanyuwa [196]

Answer:

16 years

Step-by-step explanation:

Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:

320000 + 5000x

The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:

624000 - 14000x

The number of years for the city and suburb population to be equal can be gotten from:

320000 + 5000x = 624000 - 14000x

14000x + 5000x = 624000 - 320000

19000x = 304000

x = 304000 / 19000

x = 16

In 16 years the populations of the suburb and the city be equal

6 0
2 years ago
A torch and a battery cost £2.50 altogether. The torch costs £2.00 more than the battery.
Genrish500 [490]

Answer:

\frac{1}{10}

Step-by-step explanation:

Let t represent the cost of the torch and b represent the cost of the battery.

The torch and a battery cost £2.50 altogether.

\Rightarrow t+b=2.50

The torch costs £2.00 more than the battery.

\Rightarrow t=b+2.00

We substitute the second equation into the first equation to get;

\Rightarrow b+2.00+b=2.50

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£2.50

\Rightarrow 2b=0.50

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The price of the battery is £0.25

We express this as a fraction of the total cost which is £2.50 to get;

\frac{0.25}{2.5}=\frac{1}{10}

8 0
2 years ago
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