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3 years ago

A trapezoid has 63.4 kilometers base and 23.2 kilometers base, as well as 75.3 kilometers height. What is the area?

Mathematics

2 answers:

andrew11 [14]3 years ago

8 0

A=(b1+b2) x height x 1/2
a=(63.4+23.2) x 75.3) x 1/2
a= 86.6x 75.3 x 1/2
a=6,520.98 x 1/2
a=3,260.49

Finger [1]3 years ago

7 0

Make sure to multiply everything together, then check it with a calculater.
Hope this works:)

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A survey organization has used the methods of our class to construct an approximate 95% confidence interval for the mean annual

lawyer [7]

Answer:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

The 95% confidence interval is given by (66000 , 70000)

We can estimate the mean with this formula:

$\bar X = \frac{66000+70000}{2}= 68000$

We can estimate the margin of error with this formula:

$ME= \frac{Upper -Lower}{2}= \frac{70000-66000}{2}= 2000$

And the margin of error is given by:

$ME = z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$

And we can rewrite the margin of error like this:

$ME =z_{\alpha/2}*SE$

Where $SE= \frac{\sigma}{\sqrt{n}}$

For 95% of confidence the critical value is $z_{\alpha/2}= \pm 1.96$

The Standard error would be:

$SE= \frac{ME}{z_{\alpha/2}}= \frac{2000}{1.96}= 1020.408$

For 99% of confidence the critical value is $z_{\alpha/2}= \pm 2.58$

And the new margin of error would be:

$ME = 2.58* 1020.408 = 2632.653$

And then the interval would be given by:

$Lower = 68000- 2632.653 = 65367.347$

$Upper = 68000+ 2632.653 = 70632.653$

7 0

3 years ago

Please help me!!!!! I can’t figure this question out

Ghella [55]

Answer:

well according to my calculations and if i am correct the Answer would be B

Step-by-step explanation:

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3 years ago

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A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?

never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

$A=p(1+r)^t$ , where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time. We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

$A=p(1+0.015)^t$

We also know we want the total amount, A, to be twice that of the initial amount, p:

$2p = p(1+0.015)^t
\\
2p=p(1.015)^t$

Divide both sides by p:

$\frac{2p}{p}=\frac{p(1.015)^t}{p}
\\
\\ 2=1.015^t$

Using logarithms to solve this,

$\log_{1.015}(2)=t
\\
\\46.6=t$

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3 years ago

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Which ordered pair is a reflection of (3,7) across the x-axis?

Alla [95]

Answer:

(3,-7)

Step-by-step explanation:

Using the algebraic rule for Rx-axis

(x,y)---->(x,-y)

(3,7)--->(3,-7)

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2 years ago

Which of the following would not have a positive exponent when written in scientific notation HELP PLEASE!!!!

Contact [7]

Answer:B

Because when 0.0023 is written in scientific notation the answer is 2.3×10-³ which a negative sign

Step-by-step explanation:

5,600,000

5,600,000÷10

560,000

560,000÷10

56,000

56,000÷10

5,600

5600÷10

560

560÷10

56÷10

5.6

5.6×10⁶

23÷10

2.3

2.3×10¹

560÷10

56÷10

5.6

5.6×10²

0.0023

0.0023×10

0.023

0.023×10

0.23

0.23×10

2.3

2.3×10-³

3 0

3 years ago