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mojhsa [17]
3 years ago
8

A trapezoid will ___ have the maximum area for a given perimeter of a quadrilateral

Mathematics
1 answer:
qaws [65]3 years ago
4 0
A trapezoid will always have the maximum area for a given perimeter of a quadrilateral.
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Determine all the possible orders if someone went into a bakery and could order a vanilla, strawberry, or chocolate cake. They c
AysviL [449]

Answer:

Vv Vc Vs Vp

Sv Sc Ss Sp

Cv Cc Cs Cp

answer is C = 12

5 0
3 years ago
40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS
patriot [66]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the sequence

40,\:10,\:\frac{5}{2},\:\frac{5}{8}

A geometric sequence has a constant ratio 'r' and is defined by

\:a_n=a_0\cdot r^{n-1}

Computing the ratios of all the adjacent terms

\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}

The ratio of all the adjacent terms is the same and equal to

r=\frac{1}{4}

Thus, the given sequence is a geometric sequence.

As the first element of the sequence is

a_1=40

Therefore, the nth term is calculated as

\:a_n=a_0\cdot r^{n-1}

a_n=40\left(\frac{1}{4}\right)^{n-1}

Put n = 5 to find the next term

a_5=40\left(\frac{1}{4}\right)^{5-1}

a_5=40\cdot \frac{1}{4^4}

a_5=\frac{40}{4^4}

   =\frac{2^3\cdot \:5}{2^8}

a_5=\frac{5}{2^5}

a_5=\frac{5}{32}

now, Put n = 6 to find the 6th term

a_6=40\left(\frac{1}{4}\right)^{6-1}

a_6=40\cdot \frac{1}{4^5}

a_6=\frac{40}{4^5}

    =\frac{2^3\cdot \:5}{2^{10}}

a_6=\frac{5}{2^7}

a_6=\frac{5}{128}

Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:

  • a_5=\frac{5}{32}
  • a_6=\frac{5}{128}
7 0
3 years ago
A researcher is 95% confident that the interval from 5.2 hours to 7.8 hours captures u = the true mean amount of time
igor_vitrenko [27]
<h3>Answer: Choice B</h3>

No, this is not a plausible value for the population mean, because 5 is not within the 95% confidence interval.

====================================================

Explanation:

The greek letter mu is the population mean. It has the symbol \mu which looks like the letter 'u' but with a tail at the front or left side.

The question is asking if mu = 5 is plausible if the researcher found the 95% confidence interval to be 5.2 < mu < 7.8

We see that 5 is <u>not</u> in that interval. It's a bit to the left of 5.2

Since mu = 5 is not in the interval, it's not a plausible value for the population mean.

Have we ruled it out with 100% confidence? No. Such a thing is not possible. There's always room for (slight) error. The researcher would need to do a census to be fully confident; however, such practices are very time consuming and expensive. This is the main reason why statistics is important to try to estimate the population with a sample.

8 0
3 years ago
Nolan polled the 2 fastest swimmers on the swim team.
torisob [31]

Here's link to the answer:

cutt.us/tWGpn

4 0
3 years ago
Enter the correct answer in the box. What is the standard form polynomial that represents this product?
JulsSmile [24]

Answer: -8m^5+10m^4+9m^3-16m^2+5m

Step-by-step explanation:

I had this question on a recent test and got it right

Hope this helps! :)

8 0
3 years ago
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