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viva [34]
3 years ago
12

A company manufacturing a roadside lighting system wants to estimate the average illuminance (brightness) at sunset. The illumin

ance 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.
Mathematics
1 answer:
jeka943 years ago
8 0

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)

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Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you pla
Alja [10]

Answer:

The base of the ladder is 2.58 m.

Step-by-step explanation:

Given that,

The angle of elevation for a ladder from the ground is 75°.

The length of a ladder, H = 10 foot

We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,

\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m

So, the base of the ladder is 2.58 m.

8 0
3 years ago
Mr.Blankenship has 3/8 pound of candy to give to the top 3 finalists in the spelling bee if each finalist receives an equal amou
Triss [41]

Answer:

3/8

Step-by-step explanation:

3/8+8/9

6 0
3 years ago
Mary walks 2 1/2 miles in the morning and 5 7/8 in the afternoon. how much is that in all?
Gre4nikov [31]

Answer: 8.375

Step-by-step explanation:

Add them together and turn them into a decimal, and you have ur answer!

8 0
3 years ago
I’ll give you the crown and a lot of points please help with all of them
stiks02 [169]

Answer:

5) a

6) a

7) b

8) d

9) a

10) b

11) c

12) a

Step-by-step explanation:

When it asks for range it is asking for the y values so when you plug in numbers such as 0,1,2 into the equation the y values you get are {0,90,180..}

Overall slope can be found by taking the x and y values of the two given points.

((y value of the second point)-(y value of the first point))/((x value of the second point)-(x value of the first point))

Using (1,2) and (-2, 5) you can do this by plugin in the numbers (5-2)/(-2-1)

So the slope will be 3/-3 = -1

Once you find the slope you can use this to find the equation of a line by pluging in values into y=mx + b

m = slope

y = use this from the points given

x = use this from the points given

6 0
3 years ago
What is the sum of the polynomials?<br><br> (7x^3 – 4x^2) + (2x^3 – 4x^2)
AVprozaik [17]
(7x^3 – 4x^2) + (2x^3 – 4x^2)
Add 2x^3 to 7x^3
(9x^3 - 4x^2) + (-4x^2)
Add -4x^2 to -4x^2. This would be the same as subtracting 4x^2 from -4x^2
Final Answer: 9x^3 - 8x^2

*The answer cannot be broken down anymore. It's in it's simplest form.
6 0
3 years ago
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