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Firlakuza [10]
3 years ago
7

Suppose I measure the length and width of a rectangle, and get L = 4 +/- 1 m and W = 10 +/- 2m. What is the uncertainty (not fra

ctional uncertainty!) in the area of the rectangle? (recall A = LW)
Mathematics
1 answer:
Elodia [21]3 years ago
8 0

Answer:

Step-by-step explanation:

fractional uncertainty, to quantify the precision of a measurement for L and W is

ΔL/L = 1/4 = 0.25 = 25%

ΔW/W = 2/10 = 2/5 = 0.4 = 40%

Now the area of triangle A = L*W = 4*10 = 40m^2

The rules for propagation of error state that when two quantities are multiplied, their fractional uncertainties are added:

So,

ΔA/A = ΔL/L + ΔW/W = 0.25+0.4 = 0.65 =65%

Now we can compute uncertainty in the area, which is

ΔA = A * (ΔA/A) = 40*0.65 = 26%

Finally, we can write the area of the rectangle together with its uncertainty:

A = 40m^2 ± 26%

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Write the geometric sequence that has four geometric means between 1 and 7,776.
Semmy [17]
324 / (1/4) = 7776

You then have to take its 5th root and that's the geometric ratio. Which is 6. 

<span>So the sequence is 1/24, 1/4, 3/2, 9, 54, 324</span>
4 0
3 years ago
A research company desires to know the mean consumption of meat per week among people over age 23. A sample of 164 people over a
Elan Coil [88]

Answer:

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.1 = 0.9, so z = 1.28

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28*\frac{0.7}{\sqrt{164}} = 0.07

The lower end of the interval is the mean subtracted by M. So it is 4.1 - 0.07 = 4.03 pounds

The upper end of the interval is the mean added to M. So it is 4.1 + 0.07 = 4.17 pounds

Rounded to one decimal place

The 80% confidence interval for the mean consumption of meat among people over age 23 is between 4 and 4.2 pounds.

8 0
2 years ago
PLZ HELP AND HURRY!!!!
yuradex [85]

Answer: x=30, Good Luck!

Step-by-step explanation:

45/27 = 1.6666666...

1.66666...(18) = 30

8 0
2 years ago
6. A sign in a bakery gives these options:
grigory [225]

Answer:

1. $0.48

2. $0.52

3. $0.53

Step-by-step explanation:

12/ $25

24/$46

50/$94

hope this helps

7 0
1 year ago
Read 2 more answers
Help please I'll give 6 points and brainliest​
Karolina [17]

Answer:

Radius - 25.4cm²

Circumstance- 159. 593cm²

Area - 2,026.83cm²

I think not sure

3 0
2 years ago
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