The prices (in dollars) for a particular model of digital camera with 6.0 megapixels and an optical 3X zoom lens are shown below for 10 online retailers. Estimate the true mean price for this particular model with 93% confidence. Assume the variable is normally distributed. Use a graphing calculator and round the answers to at least one decimal place.
225 236 217 202 231 185 193 185 245 217

Answers

Answer 1

Solution :

Let [tex]$x_i$[/tex] represents the prices for the digital camera.

              [tex]$x_i$[/tex]                   [tex]$x_i^2$[/tex]

           225              50625

           236              55696

            217               47089

           202              40804

           231               53361

           185               35225

           193               37249

           185               34225

           217               47089

[tex]$\sum x_i = 2136$[/tex]       [tex]$\sum x_i^2 = 460388$[/tex]

Mean, [tex]$(\overline X) = \frac{\sum x_i}{n}$[/tex]

                 [tex]$=\frac{2136}{10}$[/tex]

                 = 213.6

Variance, [tex]$\sigma^2 = \frac{\sum x_i^2}{n}-(\overline X)^2$[/tex]

                     [tex]$ = \frac{460388}{10}-(213.6)^2$[/tex]

                    = 46038.8 - 45624.96

                    = 413.84

Therefore, standard deviation,

[tex]$\sigma = \sqrt{Var}$[/tex]

   [tex]$=\sqrt{413.84}$[/tex]

   = 20.343

Now to find the 93% confidence interval, the formula us

[tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

For 93%, the value of z is 1.81

∴ Confidence interval = [tex]$(\overline X)\pm (z) \times \frac{\sigma}{\sqrt{n}}$[/tex]

C.I. = [tex]$213.6\pm 1.81 \times \frac{20.343}{\sqrt{10}}$[/tex]

      [tex]$=213.6 \pm 11.6438$[/tex]

Therefore, lower bound = 213.6 - 11.6438

                                        = 201.9562

                  Upper bound = 213.6 + 11.6438

                                         = 225.2438

∴ [tex]$201.9562 < \mu < 225.2438$[/tex]

or [tex]$202< \mu < 225.2$[/tex]

       


Related Questions

3) Lynn helped you prepare 35 sets of injections of dopamine for the clinic this week. Each injection is 50mL. How many liters of dopamine did the clinic use this week?

Answers

Answer:

1.75 liters

Step-by-step explanation:

Multiply 50ml per set by 35 sets to get 1750ml. If 1000 ml is 1 liter, then 1750 ml is 1.75 liters. :)

5m²+15m=0

t²-5t+6=0

5p²+12p+4=0

2a²+10a-48=0

x(2x+5)=0

Answers

Answer:

m=1, m= -3

t=3, t=2

p= -0.4, p= -2

a= 3, a= -8

x=0, x= -2.5

Answer:

I hope this helps a little bit.

It Is Not Fake

It Got Answers Promise

GIVING EVERYTHING IF CORRECT. NO MORE LINKS.

Answers

I think the answer is C

A bowl is in the shape of a hemisphere. The radius of the bowl is 10 centimeters. How many liters of water can the bowl hold?
(1,000 cm = 1 liter)

Answers

Answer:

The bowl can hold 2.094 L.

Step-by-step explanation:

We want to find the volume of the hemisphere to calculate how many liters the bowl can hold. To find the volume of a hemisphere, we use this equation:

V = (2/3)•(π)•(r)³

Let's plug in what we know.

V = (2/3)(π)(10)³

Evaluate the exponent.

V = (2/3)(π)(1000)

Multiply.

V = 666.667π

V = 2094.395 cm³

Remember that 1000 cm = 1 liter, and we want to know how many liters the bowl can hold.

= 2094.395/1000

= 2.094 L

The bowl can hold 2.094 L.

Hope this helps!

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10

Answers

Answer:

D) $5385.10

Step-by-step explanation:

Exponential equation of decay:

The exponential equation for the decay of an amount after t years is given by:

[tex]A(t) = A(0)(1-r)^t[/tex]

In which A(0) is the initial amount and r is the decay rate, as a decimal.

If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year

This means that [tex]A(0) = 12500, r = 0.155[/tex]

So

[tex]A(t) = A(0)(1-r)^t[/tex]

[tex]A(t) = 12500(1-0.155)^t[/tex]

[tex]A(t) = 12500(0.845)^t[/tex]

How much will it be worth in 2020?

2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So

[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]

The correct answer is given by option D.

can someone plz help no links plz

Answers

5^2 is first
Then we move to the parenthesis and do 4^2 second
That gives us 16 and since we are still in the parenthesis we subtract 16-13 next
Now we work from left to right so we do
8(3) next
Then 24 divided by three
Then 4(3)
Then last we add 33+12

What is the measure of angle XYZ?

Answers

Answer:

63degrees

Step-by-step explanation:

Using the theorem which states that the measure of angle at the vertex is half the angle of its intercepted arc.

Given

angle of its intercepted arc = 126 degree

Required

angle at the vertex = x =<XYZ

According to the theorem;

x = 1/2(126)

x = 126/2

x = 63

Hence the measure of <XYZ is 63degrees


In a class of 7, there are 3 students who have done their homework.
If the teacher chooses 3 students, what is the probability that none of the three of them have done their
homework?
Choose 1 answer:
2/37
6/41
ОООО
5/29
4/35

Answers

Answer:

4/35

Step-by-step explanation:

Probability of 1 student having no hw is 4/7, then 3/6, then 2/5

4/7 x 3/6 x 2/5 reduces to 4/35

PLEASE HELP ME WITH THOSE TWO QUESTIONS
1) How many radians are in a quarter of a circle?

2) How many degrees are in 11π over 6?

Answers

Answer:

1) about 1.57 radians

2) I'm not sure about this one sorry

A rectangular prism and its dimensions are shown in the diagram.
Dimensions:length 7.5 width 5 height 6.5

what is the total surface area​

Answers

Answer:

237.5

Step-by-step explanation:

2·(5·7.5+6.5·7.5+6.5·5)=237.5

write the sum 3+3+3+3+3+3 using sigma notation ​

Answers

Answer:

18

Step-by-step explanation:

The sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex] .

What is sigma notation?

A series can be represented in a compact form, called summation or sigma notation. The Greek capital letter, ∑ , is used to represent the sum.

According to the question

The sum 3+3+3+3+3+3  

Represent the sum as sigma notation

[tex]\sum_{i=1}^{6}3[/tex]   start at 1 and goes up to 6  

=  3+3+3+3+3+3  

Hence,  the sum 3+3+3+3+3+3 can be write using sigma notation [tex]\sum_{i=1}^{6}3[/tex]   .

To know more about sigma notation here:

https://brainly.com/question/16701078

#SPJ3

Which statement can be used to find X

Answers

Answer:

it's letter D. cos 16⁰=²¹--x

x^3=27 what is the value of x?

Answers

Answer:

x = 3

Step-by-step explanation:

3*3*3 = 9*3 = 27

Step-by-step explanation:      

Let's solve your equation step-by-step.

[tex]x^3 =27[/tex]

Step 1: Take cube root.

[tex]x = (27)^(1/3)[/tex]

[tex]x=3[/tex]

Explanation in words (Short Form)

- Move the variable to the left and the other values to the right to determine the value of x. To ascertain the outcome, simplify the values.

- In this equation (x^3=27), we can solve this equation by taking the cube root and then ascertaining the outcome.  The answer will result as x = 3 at the end for the following equation: x^3=27 to finding the value for x.

Answer:  

[tex]x=3[/tex]

Hope this helps.

Because of the relatively high interest rates, most consumers attempt to pay off their credit card bills promptly. However, this is not always possible. An analysis of the amount of interest paid monthly by a bank's Visa cardholders reveals that the amount is normally distributed with a mean of 27 dollars and a standard deviation of 8 dollars.
A. What proportion of the bank's Visa cardholders pay more than 32 dollars in interest?
B. What proportion of the bank's Visa cardholders pay more than 40 dollars in interest?
C. What proportion of the bank's Visa cardholders pay less than 19 dollars in interest?
D. What interest payment is exceeded by only 19% of the bank's Visa cardholders?

Answers

H⁣⁣⁣⁣ere's l⁣⁣⁣ink t⁣⁣⁣o t⁣⁣⁣he a⁣⁣⁣nswer:

bit.[tex]^{}[/tex]ly/3a8Nt8n

Write the equation in standard form. Y - 10= 2(x-8)

Answers

Standard form : 2x-y=6

Answer:

2x-y=6

Step-by-step explanation:

y-10=2(x-8)

y-10=2x-16

-10+16=2x-y

6=2x-y or  

standard form 2x-y=6

PLEASE HELP!!! Needed asappp!

Answers

Step-by-step explanation:

Add the corresponding sides of the two equations

1.

2x=6

x=3

substitute for x

3+y=-1

y=-4

4.

5x=10

x=2

substitute for x

2(2)+2y=-2

2y=-6

y=-3

5.

12y=24

y=2

substitute for y

6x+5(2)=4

6x+10=4

x=-6

x=-1

Answer:

Q3. x = 3, y = -4

Q4. x = 2, y = -3

Q5. x = -1, y = 2

Step-by-step explanation:

Since the question is asking us to solve the system using elimination/adding, that's what I'll do.

To solve by adding, we add the like terms of both equations together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

1st question:

x + y = -1

x - y = 7

We add the first term together.

x + x = 2x

Then the second term.

y + -y = y - y = 0

Then the last term.

-1 + 7 = 6

Which becomes:

2x = 6

Then we solve the linear equation.

2x = 6

÷ 2  ÷ 2

x = 3

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

x + y = -1

Substitute x = 3

3 + y = -1

-3         -3

y = -4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

2nd question:

2x + 2y = -2

3x - 2y = 12

We add the first term together.

2x + 3x = 5x

Then the second term.

2y + - 2y = 2y - 2y = 0

Then the last term.

-2 + 12 = 10

Which becomes:

5x = 10

Then we solve the linear equation.

5x = 10

÷5   ÷5

x = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

2x + 2y = -2

Substitute x = 2

4 + 2y = -2

-4           -4

2y = -6

÷2   ÷2

y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

3rd question:

6x + 5y = 4

-6x + 7y = 20

We add the first term together.

6x + -6x = 6x - 6x = 0

Then the second term.

5y + 7y = 12y

Then the last term.

4 + 20 = 24

Which becomes:

12y = 24

Then we solve the linear equation.

12y = 24

÷12   ÷12

y = 2

From the x value, we can then find y.

We can use either equation. In this example, I'll choose the first one.

6x + 5y = 4

Substitute y = 2

6x + 10 = 4

-10          -10

6x = -6

÷6   ÷6

x = -1

the price per gallon of gas with a $7 car wash is $3.19 and the price without the car wash is $3.39. When is it worth it to buy the car wash? When is it worth it if the car wash costs $2?

Answers

Answer:

The price per gallon of gas with a $7 car wash is $3.19

Then if you purchase x gallons of gas and also pay for the car wash, the total cost is:

C(x) = $7 + $3.19*x

In the case that you do not pay for the car wash, the cost per gallon is $3.39

Then the cost for x gallons of gas in this case is:

K(x) = $3.39*x

When is it worth it to buy the car wash?

We need to sett the equations:

C(x) = K(x)

This means that you pay exactly the same in both cases, but in one ( C(x)) you get the car wash and in the other not.

Then we need to solve:

$7 + $3.19*x = $3.39*x

$7 = ($3.39 - $3.19)*x = $0.20*x

$7/$0.20 = x = 35

Then for 35 gallons, is worth to buy the car wash.

In the case where the car wash costs $2, then the equation C(x) becomes:

C(x) = $2 + $3.19*x

Then if we solve the same equation:

C(x)  =K(x)

$2 + $3.19*x = $3.39*x

$2 = ($3.39 - $3.19)*x

$2 = $0.20*x

$2/$0.20 = x

10 = x

Then for 10 galons is whort  buy the car wash.

Please only answer if you're 100% sure it's correct. Thank you. (It's pretty easy.)

Answers

2x-7 and 2+7 are the answers

I NEED HELP ASAP HELP HELP HELP....
According to the line plot, what is the total amount of time spent studying by the students who studied for 1/2 of an hour each?

Answers

Answer:

2.5hrs

Step-by-step explanation:

Abeer sat a French test and a German test.
In the French test she scored 34 out of 50.
In the German test she scored 14 out of 20.
In which test did she do better?
You must show your working.

Answers

Answer:

German Test

Step-by-step explanation:

Find common denominator:

34/50=68/100

14/20=70/100

Therefore, Abeer did better on the German test as 14/20>34/50

Which is equal to the cos ÐR?
PLEASE HELP ME

Answers

Answer: 4/5 = .8

cos adj/hyp of r is .8

HOWEVER...

I’m assuming it’s talking about angle R...

PLEASE LOOK AT PICURE THEN ANWSER, WHOEVER IS CORRECT I WILL MARK BRAINIEST :)

Answers

The answer is A. Hope u get it right

Gym A charges a registration fee of $75 plus $35.75 per month for members. Gym B charges a registration fee of $164 plus $17.95 for members. After how many months would the total cost at Gym A and Gym B be the same for members?

Answers

Five months
Reason: graph y=35.75x+75 and y=17.95x+164 and they connect in the middle of 253-254 for month 5

n a study to investigate whether vitamin C will prevent colds, 400 subjects are assigned at random to one of two groups. The experimental group takes a vitamin C tablet daily, while the control group takes a placebo. At the end of the experiment, the researchers calculate the difference between the percentage of subjects in the two groups who were free of colds. This difference is statistically significant (P=0.03) in favor of the vitamin C group.

Answers

Answer:

Step-by-step explanation:

The aim of this question is to see if we can infer and conclude that vitamin C has a good impact in preventing colds based on the evidence provided.

Null hypothesis: Vitamin C has no effect on preventing colds.

Alternative hypothesis: Vitamin C has a strong effect on preventing colds.

Assuming, significance level = 0.05

Since the p-value for the difference is 0.03 which is less than 0.05.

Hence, the null hypothesis is rejected (which is there is no effect of vitamin C).

As a result, it can be concluded that Vitamin C has a major impact on the prevention of colds.

Find the radius of a circle with an area of 1,124 sq feet.

Answers

The radius is 18.92 ft

Find the gradient of the line segment between the points (2,3) and (4,7)

Answers

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Examine the following diagram
BI
75 32
3
26592
3
D
75 32"
2859
E
© 2019 StrongMind Created using GeoGebra
If AABC 4AADE, what is the length of AE?
07
04
6
03

Answers

9514 1404 393

Answer:

  (a)  7

Step-by-step explanation:

The congruence statement tells you that AC ≅ AE. AC is marked as 7, so ...

  AE = 7

_____

Additional comment

If you solve the triangle using the Law of Sines, you find that AC = AE = 6.484, not 7.

Joseph drove to his grandmother's house which is 279 miles away in 4.5 hours. If he continues at the same speed, approximately how long will it take him to drive 325 miles?

Answers

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

I WILL GIVE BRAINLIEST!!! In ABC, m∠A=10 and m∠B=145. Select the triangles that are similar to ABC.

Answers

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]\triangle ABC[/tex]

[tex]\angle A = 10[/tex]

[tex]\angle B = 145[/tex]

Required

Similar [tex]\triangle[/tex] to [tex]\triangle ABC[/tex]

The question is incomplete as the other triangles to make comparison from, are not given.

However, general information that could help you are as follows.

The given parameters show that we have to consider AA criterion for selecting similar triangles.

So, you need to check the [missing] given triangles, and pick any that have 10 and 145 (in that particular order) as measures of two of its angles.

Take for instance.

[tex]\triangle DE\ F[/tex]

Where

[tex]\angle D = 10[/tex]

[tex]\angle E = 145[/tex]

See that:

[tex]\angle D = 10[/tex] is similar to [tex]\angle A = 10[/tex]

[tex]\angle E = 145[/tex] is similar to [tex]\angle B = 145[/tex]

This means that:

[tex]\triangle DE\ F[/tex] is similar to [tex]\triangle ABC[/tex] by AA

Answer:

The answer is the 10 degrees on and 25 degreees

Step-by-step explanation:

AP EX


Pls help me with this

Answers

Ur answer would be D! Hope that helps
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