A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illuminance at sunset for the past 10 days was as follows: 406, 385, 389, 383, 352, 379, 388, 343, 368, 387 lux. Construct a 95% confidence intervals for the average illuminance at sunset. Assume that the illuminance at sunset is approximately normally distributed.

Answers

Answer 1

Answer:

(364.595 ; 391.405)

Step-by-step explanation:

Given the sample data:

406, 385, 389, 383, 352, 379, 388, 343, 368, 387

Using calculator :

Sample mean, xbar = 378

Standard deviation, s = 18.74

Confidence interval :

Xbar ± Margin of error

Margin of Error = Tcritical * s/√n

TCritical at df = 24 ; 0.05 = 2.262

Margin of Error = 2.262 * 18.74/√10 = 13.405

Lower boundary = (378 - 13.405) = 364.595

Upper boundary = (378 + 13.405) = 391.405

(364.595 ; 391.405)


Related Questions

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...

A can of soda contains 12 ounces of soda. What is the amount in milliliters (mL)? Conversion Factor: 1 ounce = 29.6 milliliters A. 2.47 mL B. 24.7 mL C. 355.2 mL D. 3552 mL

Answers

Answer:

The answer is C: 355.2 mL.

Step-by-step explanation:

12*29.6=355.2. I hope this helps! Have a great rest of your day!

What is the volume of the right rectangular prism 

Answers

Answer:

432

Step-by-step explanation:

V=length×width×height

= 8×6=48

=48×9=432

Answer:

[tex]432{mm}^{3} [/tex]

Step-by-step explanation:

[tex]9mm \times 6mm \times 8mm = 432 {mm}^{3} [/tex]

What is the surface area?

Answers

Answer:

212

Step-by-step explanation:

hope you will understand

Complete the square
to find the vertex
of this parabola.

y^2+4x - 2y+21=0

Answers

Answer:

::::::::::::::::::::

(-5,1)

The vertex of the parabola represented by the equation y² + 4x - 2y + 21 = 0 is (-5, 1).

The parabola is represented by the equation y² + 4x - 2y + 21 = 0.

Take the coefficient of y, which is -2, divide it by 2, and square the result:

(-2/2)² = 1

Now, we add and subtract this value inside the parentheses to maintain the equation's balance:

y² - 2y + 1 + 4x + 21 - 1 = 0

Rearranging the terms, we have:

(y² - 2y + 1) + 4x + 20 = 0

Now, the terms inside the parentheses can be written as a perfect square:

(y - 1)² + 4x + 20 = 0

Setting (y - 1)² = 0,

(y - 1)² = 0

y - 1 = 0

y = 1

Substitute y = 1 back into the equation to find the x-coordinate of the vertex:

(1 - 1)² + 4x + 20 = 0

0 + 4x + 20 = 0

4x = -20

x = -5

Therefore, the vertex of the parabola is (-5, 1).

Learn more about the parabola here:

brainly.com/question/4074088

#SPJ2

-2a + 5b + 6a + 8b combine like terms​

Answers

Answer:

4a + 13b

Step-by-step explanation:

-2a + 5b + 6a + 8b

combine like terms:

4a + 13b

Answer:

4a+13b

Step-by-step explanation:

-2a+6a+5b+8b. group like terms

4a+13b

Write the slope-intercept equation of this line.

when the answers are

A. y=-2x-3
b. y=2x-5
c. y=-1/2x-5
d.y=-1/2x-3

Answers

Answer:

[tex]y=-\frac{1}{2} x-3[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope

The slope of a line is the same as its [tex]\frac{rise}{run}[/tex], or in other words, the number of units the line moves upwards over the number of units the line moves to the right.

In the graph, we can see that for every 2 units it moves right, it moves down 1 units. Therefore, our slope is [tex]-\frac{1}{2}[/tex]. This is negative since it is traveling downwards.

Plug [tex]-\frac{1}{2}[/tex] into [tex]y=mx+b[/tex] as m:

[tex]y=-\frac{1}{2} x+b[/tex]

2) Determine the y-intercept

In the graph, we can see that the line crosses the y-axis when y is equal to -3. Plug -3 into [tex]y=-\frac{1}{2} x+b[/tex] as b:

[tex]y=-\frac{1}{2} x-3[/tex]

I hope this helps!

D

Used desmos graphing calculator

Please help!! Need help with this algebra question quickly!!

Answers

Answer:

The area would be:-

(x-2) multiplied by (2x-1)

So, the answer would be

= [tex]2x^{2} -5x + 2[/tex]

17. Find the value(s) of the variable(s). If necessary, round decimal answers to the nearest
tenth.
15
51
a x = 19.3, y = 12.1
b. x 23.8, y = 18.5
C. x = 12.1, y = 19.3
d. x = 18.5, y = 23.8

Answers

Answer:

C.

Step-by-step explanation:

The answer should be less than 15 for x since its the smallest side and C is the only answer that has that.

What is m∠G to the nearest tenth? A right angle triangle EFG. The length of EF is 28.2 and GF is 45.8. Angle GFE is given as 90 degrees.

Answers

Answer:

31.6°

Step-by-step explanation:

The triangle given us a right angled Triangle

We solve the above question using the trigonometric function of Tangent

The formula is given as:

tan θ = opp/adj

θ = m∠G = ?

Opposite = EF is 28.2

Adjacent = GF is 45.8

tan θ = 28.2/45.8

θ = arc tan (28.2/45.8)

θ = 31.621459805°

Approximately

m∠G = 31.6°


Help what type of function is this

Answers

the type of function is its linear

The volume of a sphere is 5000x m . What is the surface area of the sphere to the nearest
square meter?

Answers

Answer:

Step-by-step explanation:600

What is C= 5/9 F−32)
Btw / (like in 5/9) is a way I use fractions c:

Answers

Answer:

f = 9c 5 + 288/5

Step-by-step explanation:

She walks 2 minutes for every 5 she runs. If she walks for 12 minutes how many minutes does she spend running?

Answers

Answer:

I believe it is, 30 minutes of running.

Explanation:

If she spends 12 minutes walking, that means she’s done 6 ‘sets’ of two minutes.

Then, you just have to multiply 6 by 5 and then you get 30.

What best describes the distance between two points with coordinates (2,-3) and (-4,2)

Answers

Answer:

Option c (7.8) is the correct alternative.

Step-by-step explanation:

The given points are:

(x₁, y₁) = (2, -3)

(x₂, y₂) = (-4, 2)

As we know,

The distance between two points will be:

= [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

On substituting the values, we get

= [tex]\sqrt{(-4-2)^2+(2-(-3))^2}[/tex]

= [tex]\sqrt{(-4-2)^2+(2+3)^2}[/tex]

= [tex]\sqrt{(6)^2+(5)^2}[/tex]

= [tex]\sqrt{36+25}[/tex]

= [tex]\sqrt{61}[/tex]

= [tex]7.8 \ units[/tex]

What is the measure of AC?
D
30°
90 E
90° B
A. 1200
B. 150°
C. 90°
с
O D. 30°

Answers

C hope that helps lip you you get that if you round have a great one

A line passes through the points (-1,4) and (4,-2). Find the equation of the line in slope intercept form.

Answers

Answer:

Your Answer mark me as brainlist

Step-by-step explanation:

slope = "rise over run" the difference in y values divided by the difference in x values

= 6/-3 = -2 = m. It's negative because as x increases, y decreases

plug that into the point slope formula, with either point. generally use the most simple point

y-h= m(x-k) where m= -2 and (k,h) = (2,-2)

y+2 = -2(x-2)

simply if you want

Y = -2x +4 -2 = -2x +2

or

2x +y = 2

There are 5 cups of tea in the pitcher. There are 10 fluid ounces of tea in the glass. In fluid ounces, how much more tea is in the pitcher than in the glass? Type in! QUICK!

Answers

Answer:

30 fl oz

Step-by-step explanation:

1 c = 8 fl oz

5c = 40 fl oz

40 fl oz - 10 fl oz = 30 fl oz

Answer:

3 fl oz

Step-by-step explanation:


What is the value of x in the equation 4/3/10

Answers

The value of X in the equation is -3

29. A number divided by 8 gives answer 27, remainder 4. Find the number.


Answers

Answer:

220

Step-by-step explanation:

Divisor • Quotient + Remainder = Dividend

The divisor is 8, the quotient is 27, the remainder is 4.

27 • 8 = 216; 216+ 4= 220 (Don’t forget that multiplication is commutative, so 8 & 27 can swap places!) 220 is the number that when divided by 8 gives 27 remainder 4.

In simpler way

Dividend = divisor × quotient + remainder.

Divisor = 8, quotient = 27, remainder = 4.

Dividend = (8×27)+4,

= 216+ 4

= 220

The number is 220.

For proof

 

I need to finish this but im confused :(​

Answers

Answer:

basically, with each value of x, you replace it by x on the equation

Step-by-step explanation:

y=1/3(12)

y=4

--------

y=1/3(3)

y=1

--------

y=1/3(18)

y=6

-------

hope this helped!

PLS HELP FOR 78 POINTS AND PLS NO POINTLESS LINKS

Answers

Answer:

1. 12.9

2. 14

Step-by-step explanation:

11, 18, 7, 14, 5, 16, 14. 18

Added Together it is 103.

Divided by 8, it is around 12.9

5, 7, 11, 14, 14, 16, 18, 18

Answer:

12.9 and 14

Step-by-step explanation:

Given data:

11, 18, 7, 14, 5, 16, 14, 18

Mean is the average:

(11 + 18 + 7 + 14 + 5 + 16 + 14 + 18)/ 8 = 12.875 ≈ 12.9

Put the data in the ascending order, the median is the average of the two middle numbers when number of data is even:

5, 7, 11, 14, 14, 16, 18, 18Median is 14 as both middle numbers are same

Determine the slope between these these points

Answers

Answer:

-12/5

Step-by-step explanation:

The number 31.5 is 37.5% of what number?
A. 69
B. 84
C. 315
D. 375

Answers

Answer: B

Step-by-step explanation:

I need to figure out what the slope is.

Answers

9514 1404 393

Answer:

  2

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (-2 -(-6))/(3 -1) = 4/2 = 2

The slope of the line is 2.

Malik is using a cookbook to make a recipe, but he cannot find his
measuring cups! He has, however, found a tablespoon. Inside the
back cover of the cookbook, it says that 1 cup = 16 tablespoons.
Determine how he could use the tablespoon to measure out the
following ingredients. Show each step of your solution.
• 2 cups of flour
• 12 cup sunflower seeds
• 194 cup of oatmeal in

Answers

Answer:

a. Given a number of tablespoons, find the number of cups:

1. Since he needs 2 cups, he can use 2×16=32 tablespoons.

2.Since he needs 1/2 cup, he can use 1/2×16=8 tablespoons.

He needs 1 1/4 cups. 1 cup is 16 tablespoons. 1/4 cup is 1/4×16=4 tablespoons. So altogether he needs 16+4=20 tablespoons.Given a number of cups, find the number of tablespoons:

I already found that 20 tablespoons is 1 1/4 cups. So for 28 tablespoons I need an additional 8 tablespoons, or an additional 1/2 cup. 1 1/4+1/2=1 3/4, so 28 tablespoons gets him 1 3/4 cups. (Alternatively, we might say that 1 tablespoon is 1/16 cups. 1/16×28=28/16, which we can rewrite as 1 12/16 or 1 3/4.)

I notice that to convert from tablespoons to cups, I always divide by 16. 6÷16=6/16, which we can write as 1 3/8. (Alternatively, 1 tablespoon is 1/16 cups. 1/16×6=6/16, which we can rewrite as 1 3/8.)

Step-by-step explanation:

What is 4 nickels to 2 dollars

Answers

Answer: b

Step-by-step explanation:

Answer:

How many nickels make a 2 dollars?

40 nickels

50 per penny roll or 40 nickels to complete a $2 roll, the denominations can become less self-explanatory the higher the face value and physical thickness of a coin

Quadrilateral ABCD is rotated 90° about the origin. What are the coordinates
of quadrilateral A'B'C'D?

Answers

Answer:

Its A

Step-by-step explanation:

Answer:

A'(5,-5) ,B'(1,-5) ,C'(1,-2) ,D'(5,-1)

consider the triangle​

Answers

The answer to the question is 30

Which of the following is not true when using the confidence interval method for testing a claim about μ when σ is​ unknown? Choose the correct answer below. A. The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results. B. The​ P-value method, the traditional​ method, and the confidence interval method are equivalent and yield the same results. C. For a​ two-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 95% confidence interval. D. For a​ one-tailed hypothesis test with a 0.05 significance​ level, one must construct a​ 90% confidence interval.

Answers

Answer:

The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results ( A )

Step-by-step explanation:

The False statement about using the confidence interval method when testing a claim about  μ when  σ is​ unknown is ; The​ P-value method and the classical method are not equivalent to the confidence interval method in that they may yield different results

This is because sometimes the values gotten from the p-value and confidence interval differs and this occurs mostly when the sample size is very small.

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