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Orlov [11]
2 years ago
8

According to data on the state of Iowa, the amount of water used for cooking per household per month is normally distributed, wi

th a standard deviation of 10.4 liters. A survey was carried out to estimate the population mean. With a sample size of 60 households, the mean quantity of water used for cooking was found to be 62.6 liters.
There is a 95% chance that the population mean lies between liters and liters.
NextReset
Mathematics
2 answers:
Setler79 [48]2 years ago
8 0

There is a 95% chance that the population mean lies between 59.91 liters and 65.29 liters.


klio [65]2 years ago
3 0
<span>There is a 95% chance that the population mean lies between 52.2 liters and 73 liters. This result is obtained by either subtracting the standard deviation from the mean of 62.6 litres or adding it to get the 52.2 or 73 liters.</span>
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The area of a second soup can’s base is 5 pi inches squared. The can has a height of 10 inches. How would you use that informati
Ilia_Sergeevich [38]

Answer:

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

Step-by-step explanation:

The amount of soup the can will hold is equal to the volume of the can.

Volume of the can = base area × height

Given;

Base Area = 5π inches squared

height = 10 inches

Volume of can = 5π × 10 = 50π inches cubed

The amount of soup the can will hold is;

50π inches cubed = 157.08 inches cubed

8 0
2 years ago
Read 2 more answers
Which relationship has a zero slope?
Ivenika [448]

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

6 0
1 year ago
The number of airline passengers in 1990 was 466 million. The number of passengers traveling by airplane each year has increased
taurus [48]

Answer:

2010.

Step-by-step explanation:

We have been given an exponential growth formula P(t)=466\cdot 1.035^t, which represents number of passengers traveling by airplane since 1990.

To find the year in which 900 million passengers will travel by airline, we will equate the given formula by 900 and solve for t as:

900=466\cdot 1.035^t

\frac{900}{466}=\frac{466\cdot 1.035^t}{466}1.9313304721030043=1.035^t

Take natural log of both sides:

\text{ln}(1.9313304721030043)=\text{ln}(1.035^t)

Using property \text{ln}(a^b)=b\cdot \text{ln}(a), we will get:

\text{ln}(1.9313304721030043)=t\cdot \text{ln}(1.035)

0.658209129198=t\cdot 0.034401426717

\frac{0.658209129198}{0.034401426717}=\frac{t\cdot 0.034401426717}{0.034401426717}

19.1331927775=t\\\\t=19.1331927775

This means that in the 20th year since 1990, 900 million passengers would travel by airline.

1990+20=2010

Therefore, 900 million passengers would travel by airline in 2010.

6 0
1 year ago
Mya is a performance athlete. She wants to use a function to represent the number of calories that she burns while training, whe
Lerok [7]

Answer:

The actual number of calories that Mya burned when she

trained for 30 minutes is 240.

Step-by-step explanation:

We have an exponential function that is the best fit for the number of calories Mya burns, in function of time (minutes).

The function is:

y=45.3e^{0.0548x}

Where y: calories burned, and x: training time.

Whenever we use regression models, we have a real value and a predicted value. The difference between them, the measure we want to minimize when we adjust with this typo of models, is called residual.

In the table is shown as one of the columns.

For example, for x=10 minutes, we have a real value of 30 and a predicted value of 78.36, so the residual becomes e=30-78.36=-48.36.

e=y-\hat y=30-78.36=-48.36

For x=30 minutes, we have only the residual, that has a value of 5.53. That means that the predicted value, which we can calculate, is 5.53 below the real value.

The predicted value for x=30 is:

y(30)=45.3e^{0.0548*30}=45.3*5.18=234.47

Using the equation for the residual e, we can calcualte the actual number of calories that Mya burned in 30 minutes:

e=y-\hat y=y-234.47=5.53\\\\y=234.47+5.53\\\\y=240

4 0
1 year ago
(2.5 points) The probability that an airplane accident which is due to structural failure is diagnosed correctly is 0.85 and the
Nikitich [7]

Answer: 0.51

Step-by-step explanation:

This is a conditional probability. The first event is the airplane accident being caused by structural failure. The probability of it being due to structural failure is 0.3 and the probability of it not being due to structural failure is 0.7. The second event involves the diagnosis of the event. If a plane fails due to structural failure, the probability that it will be diagnosed and the results will say it was due to structural failure is 0.85, and the probability that the diagnosis is unable to identify that it was because of a structural failure is 0.15. If the plane were to fail as a result of some other reason aside structural failure, the probability that the diagnosis will show that it was as a result of structural failure is 0.35 and the probability of the diagnosis showing that is is not as a result of structural failure is 0.65. To find the probability that an airplane failed due to structural failure given that it was diagnosed that it failed due to some malfunction, this is the equation;

p = (probability of plane failing and diagnosis reporting that the failure was due to structural failure)/ (probability of diagnosis reporting that failure was due to structural failure)

p = (0.3*0.85)/((0.3*0.85) + (0.7*0.35))

p = 0.51

4 0
1 year ago
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