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pantera1 [17]
3 years ago
10

A solid concrete wall 4.0 m by 2.4 m and 30 cm thick, with a thermal conductivity of 1.3 w/(m·k), separates a basement at 18°c f

rom the ground outside at 6°c. how much heat flows through the wall in one hour?
Mathematics
1 answer:
Nastasia [14]3 years ago
5 0
<span>THE AREA OF THE ROOM IS :A=4*2.4=9.6 m^2
THICKNESS t=0.30 m
DIFFERENCE IN TEMPERATURE dT=18-6=12
q=kAdT/dx=kA*dT/t
q=1.3(9.6)(12)/0.30=4992 W=499.2 J/s
In 1 hour or 3600 sec
P=q*T=(499.2 J/s)(3600 s)=1797120 J=1.8 MJ
1.8MJ OF HEAT FLOWS HTROUGH THE WALL IN ONE HOUR</span>
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The US Census reported that it takes workers an average of 28 minutes to get home from work with standard deviation 5 minutes. A
xz_007 [3.2K]

Using the z-distribution, as we have the standard deviation for the population, to test the hypothesis, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if the mean time is of 28 minutes, that is:

H_0: \mu = 28

At the alternative hypothesis, it is tested if the mean time is greater than 28 minutes, that is:

H_1: \mu > 28.

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

The parameters are:

  • \overline{x} is the sample mean.
  • \mu is the value tested at the null hypothesis.
  • \sigma is the standard deviation of the sample.
  • n is the sample size.

In this problem, the values of the parameters are given by:

\overline{x} = 32, \mu = 28, \sigma = 5, n = 10

Hence:

z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}

z = \frac{32 - 28}{\frac{5}{\sqrt{10}}}

z = 2.53

<h3>What is the decision?</h3>

Considering that we have a <em>right-tailed test</em>, as we are testing if the mean is greater than a value, with a standard <em>significance level of 0.05</em>, the critical value is of z^\ast = 1.645.

Since the test statistic is greater than the critical value, it is found that this is evidence that workers in the large city take longer than 28 minutes to get home from work.

To learn more about the z-distribution, you can check brainly.com/question/26454209

4 0
2 years ago
One water filter will clean 40 gallons of water. Which equation can be used to find g, the total number of gallons cleaned by an
Fittoniya [83]

Answer: g = 40f

Step-by-step explanation:

Since one water filter will clean 40 gallons of water, the equation that can be used to find g, the total number of gallons that will be cleaned by any number of filters f will be gotten by multiplying f by 40. This will be:

g = f × 40

g = 40f

For example, the gallons of water that 4 water filters will clean will be:

= 40f

= 40 × 4

= 160 gallons

4 0
3 years ago
A building is 24 feet tall and 40 feet wide. If a scale model of this building is 10 inches wide, how tall is the model?
kow [346]

Answer:

The model is 6 inches tall.

Step-by-step explanation:

Write and solve an equation of ratios:

10 in.         x

--------- = ----------

40 ft.      24 ft.

Cross-multiplication yields:

240 in = 40x, so x = 6 inches.

The model is 6 inches tall.

4 0
3 years ago
State the three inequalities
Pie
Those 3 lines are:
y=2x+2
X=4
Y=4
The R satisfies these:
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8 0
3 years ago
Assume that blood pressure readings are normally distributed with a mean of 123 and a standard deviation of 9.6. If 144 people a
Vanyuwa [196]

Answer:

The probability is 0.9938

Step-by-step explanation:

In this question, we are asked to calculate the probability that the mean blood pressure readings of a group of people is less than a certain reading.

To calculate this, we use the z score.

Mathematically;

z = (mean - value)/(standard deviation/√N)

From the question, we can identify that the mean is 125, the value is 123 , the standard deviation is 9.6 and N ( total population is 144)

Let’s plug these values;

z = (125-123)/(9.6/√144) = 2.5

Now we proceed to calculate the probability with a s score less than 2.5 using statistical tables

P(z<2.5) = 0.9938

8 0
3 years ago
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