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Marizza181 [45]
3 years ago
14

Calculate the mean and variance of the sample data set provided below. show and explain your steps. round to the nearest tenth.

14, 16, 7, 9, 11, 13, 8, 10
Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Mean = (14 + 16 + 7 + 9 + 11 + 13 + 8 + 10) ÷ 8 = 11

Variance = 
[ (14-11)²+(16-11)²+(7-11)²+(9-11)²+(11-11)²+(13-11)²+(8-11)²+(10-11)² ]/7 = 9.71

Answer: 9.71
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Answer:

-Exponential Decay

-Decay factor is (1-0.05)

Step-by-step explanation:

-Given that the number decreases by a defined rate each year from the initial size by 5%,

-This is an exponential decay function of the form:

y=Ae^{-rt}

Where:

y is the quantity/size after time t

A is the initial size

r is the rate of decay

-Our function can the be written as

y=45000e^{-0.05t}

Hence, the decay rate/factor is 0.05

#Alternatively

The exponential decay can be of the form:

y=ab^x

Where:

y is the size at time x, a is the initial size, x is time and b is the decay factor.

b is of the form b=(1-r),\ \  r=decay\  rate

y=ab^x\\\\y=45000(1-0.05)^x

Hence, the decay factor is (1-0.05)

8 0
3 years ago
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siniylev [52]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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The cost of a taxi ride includes an initial charge of $2.00. If a 5km ride cost $6.00 and 10km ride cost $10.Oo, determine the c
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Answer:

5km costs $4

if you take the intial charge of $2, you're paying $4 per 5km

hence 10km= 2 *5km= 2*$4=$8+initial charge $2= $10

15Km= 3*5km= 3*$4= $12 + intial charge $2 = $14

Step-by-step explanation:


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3 years ago
A fast food restaurant offers a bonus to each meal purchased. The bonus could be a free ice cream, pop, or fries. The owner want
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Step-by-step explanation:

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2 years ago
The mean number of hours of study time per week for a sample of 562 students is 23. If the margin of error for the population me
Vadim26 [7]

Answer:

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

Step-by-step explanation:

Confidence interval:

Sample mean plus/minus the margin of error.

In this question:

Mean of 23.

Margin of error 2.1.

Then

23 - 2.1 = 20.9

23 + 2.1 = 25.1

The 98% confidence interval for the mean number of hours of study time per week for all students is (20.9, 25.1).

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2 years ago
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