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daser333 [38]
3 years ago
10

Explain the error in the work shown. Find the correct answer.

Mathematics
2 answers:
const2013 [10]3 years ago
5 0
You cant have a negative exponent

Kobotan [32]3 years ago
4 0
The mistake is in 3rd step, as we can't equate powers if bases are different.
4^-3=2^8a
2^-6=2^8a
-6=8a
-3/4=a
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Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a v
Veronika [31]

Answer:

\text {CI} = (60.54, \: 81.46)\\\\

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

Step-by-step explanation:

Let us find out the mean savings for a televisit to the doctor from the given data.

Using Excel,

=AVERAGE(number1, number2,....)

The mean is found to be

\bar{x} = \$71  

Let us find out the standard deviation of savings for a televisit to the doctor from the given data.

Using Excel,

=STDEV(number1, number2,....)

The standard deviation is found to be

 s = \$ 22.35

The confidence interval is given by

\text {confidence interval} = \bar{x} \pm MoE\\\\

Where the margin of error is given by

$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\

Where n is the sample of 20 online doctor visits, s is the sample standard deviation and t_{\alpha/2} is the t-score corresponding to a 95% confidence level.

The t-score is given by is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 20 - 1 = 19

From the t-table at α = 0.025 and DoF = 19

t-score = 2.093

So, the margin of error is

MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) \\\\MoE = 2.093\cdot \frac{22.35}{\sqrt{20} } \\\\MoE = 2.093\cdot 4.997\\\\MoE = 10.46\\\\

So the required 95% confidence interval is

\text {CI} = \bar{x} \pm MoE\\\\\text {CI} = 71 \pm 10.46\\\\\text {CI} = 71 - 10.46, \: 71 + 10.46\\\\\text {CI} = (60.54, \: 81.46)\\\\

Therefore, we are 95% confident that actual mean savings for a televisit to the doctor is within the interval of ($60.54 to $81.46)

7 0
3 years ago
If f(x) equals x/2+8 what is f(x) when x=10
Sphinxa [80]

Answer:

13

Step-by-step explanation:

Since we want to find f(x) when x equals 10, we can substitute 10 in for x

f(x)=x/2 +8

f(10)=10/2+8

Divide 10 by 2

f(10)=5+8

Add 5 and 8

f(10)=13

So, f(x) when x=10 is 13

4 0
3 years ago
Read 2 more answers
Suppose you ride your bicycle into the countryside on a bike path. You travel 6 km the first hour, 3 km
Ksivusya [100]

Answer:

25km/h

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A taxi company charges $2.25 per ride plus $0.30 per mile. Enter a linear model represents the cost, C, as a function of d, the
Anna007 [38]

Answer:

C(d) = d(2.25) + m(0.3)

Step-by-step explanation:

A taxi company charges $2.25 per ride plus $0.30 per mile.

Let d represent number of rides..

Let m represent number of Miles...

Then let C represent the total cost for each ride at a specific number of Miles.

The linear model representing the cost as a function of d the total ride

C(d) = d(2.25) + m(0.3)

The values stand independently because the customer can choose a different right and a different mile.

7 0
3 years ago
Write the number 0.5 in the form mc003-1.jpg, using integers, to show that it is a rational number.
Tasya [4]
If x=0.5, then 10x=5, and so x=\dfrac5{10}=\dfrac5{5\times2}=\dfrac12.
6 0
3 years ago
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