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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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Label the terms in the expression as constant, linear, and quadratic
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Answer:

Step-by-step explanation:

4x^2 is the quadratic

3x is linear

-6 is the constant.

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3 years ago
Six friends are going to a consert. Their tickets total
irga5000 [103]

Answer:

196           and             280

Step-by-step explanation:

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What does x equal in 7+2/5x=-5
Anna007 [38]

Answer:

x = -30

Step-by-step explanation:

subtract 7 from both sides ( 7+2/5x -7, -5-7 )

simplify ( 2/5x = 12 )

multiply both sides by 5 ( 2/5x times 5 = 5 (-12) )

simplify ( 2x = -60 )

divide both sides by 2 ( 2x / 2, -60 / 2 )

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7 0
3 years ago
Read 2 more answers
The equation $y+4x=100$ represents your distance y (in meters) from the finish line x seconds after you begin your leg of a rela
Tems11 [23]

Answer:

3 metres

Step-by-step explanation:

If y= distance (in meters) from the finish line

x= time in seconds after the beginning of the leg of relay race.

At x=0, when the race has not started,

From the runner's equation

y+4(0)=100

y=100 metres

Also, from his opponent's equation

y+3.8x=97

y+(3.8X0)=97

y=97

The distance needed by the runner to catch up to his opponent

= 100-97 =3 metres

4 0
3 years ago
QUESTION 9 1 POINT Find the equation of a line that contains the points (-2,-5) and (3, -1). Write the equation in slope-interce
svet-max [94.6K]

Answer:

If only slope:

y = \frac{4}{5}x + b

If slope and y-intercept:

y = \frac{4}{5}x - 6.6\\or\\y = \frac{4}{5}x - 3.4

*both are correct answers see steps below*

Step-by-step explanation:

The equation to find the slope is \frac{y_{2} - y_{1}}{x_{2} - x_{1}}.

The equation for slope-intercept form is y = mx + b.

First, find the slope between two points.

\frac{-1 - (-5)}{3 - (-2)} = \frac{4}{5}

Keep the difference as a fraction if it can't be divided.

Next, plug in the slope value into the equation.

y = \frac{4}{5}x + b

If you also need to find what b is, pick a point; (-2, -5) OR (3, -1). Then fill in the equation with it's x and y values. (I'll do both points to show two different results).

Point (-2, -5):

(-5) = \frac{4}{5}(-2) + b

(-5) = (-1.6) + b

Add 1.6 on both sides to isolate the b. (since -1.6 is a negative, we need to cancel it out with its opposite)

b = -6.6

Point (3, -1):

(-1) = \frac{4}{5}(3) + b

(-1) = (2.4) + b

Subtract 2.4 on both sides to isolate the b. (since 2.4 is a positive, we need to cancel it out with its opposite)

b = -3.4

It does mean that both slopes have different y-intercepts but it overly depends on the point. These steps will ensure you to the correct answer.

3 0
2 years ago
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