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Rasek [7]
3 years ago
11

A countrys population in 1992 was 222 million. In 2001 it was 224 Million. Estimate the population growth in 2004 using the expo

nential growth formula. Round your answer to the nearest million.
Mathematics
1 answer:
sergejj [24]3 years ago
6 0
Find the rate of growth
224=222(1+r)^(2001-1992)
Solve for r
R=0.000997 without %
P=224(1.000997)^(2004-2001)
P=224×(1.000997)^(3)
P=224.67 million
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Find the formula for the area of the shaded region in the figure.<br> x² = 4py<br> ہے
Alexandra [31]

The formula for the area of the shaded region in the figure.

x² = 4py is mathematically given as

A=\frac{8}{3} \sqrt{p h} \cdot h

<h3>What is the formula for the area of the shaded region in the figure?</h3>

Parameters

$x^{2}=4 p y$

$y=h$

\therefore x^{2}=4 p h \Rightarrow x=2 \sqrt{p h} \\

Generally, the equation for the Area is mathematically given as

& A=2 \int_{0}^{2 \sqrt{p h}}\left(h-\frac{x^{2}}{4 p}\right) d x \\\\& A=2\left(h x-\frac{x^{3}}{12 p}\right]_{0}^{2 \sqrt{p h}} \\\\& A=2\left[\left[h 2 \sqrt{p h}-\frac{1}{12 p} \cdot(2 \sqrt{p h})^{3}-0\right]\right. \\

&A=2\left[2 h^{3 / 2} \sqrt{p}-\frac{8(\sqrt{p})^{3}(\sqrt{h})^{3}}{12 p}-0\right] \\\\&A=2\left[2 h^{k / 2} \sqrt{p}-\frac{2}{3} \sqrt{p} \cdot h^{3 / 2}\right] \\\\&A=2 \times \frac{4 \sqrt{p} \cdot h^{3 / 2}}{3} \\\\&A=\frac{8}{3} \cdot \sqrt{p} \cdot \sqrt{h} \cdot h \\\\&A=\frac{8}{3} \sqrt{p h} \cdot h

A=\frac{8}{3} \sqrt{p h} \cdot h

In conclusion,  the equation for the Area is

   

A=\frac{8}{3} \sqrt{p h} \cdot h

Read more about Area

brainly.com/question/27683633

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5 0
2 years ago
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones
schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 237, \sigma = 54

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{160 - 237}{54}

Z = -1.43

Z = -1.43 has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0
3 years ago
Question:-
Reika [66]

{\huge \underline{{ \fbox \color{red}{A}}{\fbox \color{green}{n}}{\fbox \color{purple}{s}}{\fbox \color{brown}{w}}{\fbox \color{yellow}{e}}{\fbox \color{gray}{r } }}}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \bf \red{ \dfrac{1}{2} +  \dfrac{1}{4} =  \dfrac{3}{4}   }

Step by step explanation :-

The only thing you have to do is add the numerator to the denominator, in this case you have to add the first ones from the front, which can be these 2+1/4, which would result in 3/4, and this is called the Commutative Property.

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{  \bf \gray{ \dfrac{1}{2} +  \dfrac{1}{4}  =  \dfrac{1}{4} +  \dfrac{1}{2}   }}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed{ \bf \green{\dfrac{2 + 1}{4}  =  \dfrac{1 + 2}{4} }}

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed {\bf \blue{\dfrac{3}{4}  =  \dfrac{3}{4}} }

Answer :- The answer is 3/4

¿What is commutative property?

It is to change different ways in order of the addends the result would be the same.

Example :-

\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \boxed {\bf \blue{\dfrac{a}{b} + \dfrac{c}{d}} = {\dfrac{c}{d}  + \dfrac{a}{b}} }

I hope I've helped : )

5 0
2 years ago
Read 2 more answers
Peppermint patty is very discourged about her chances on a 10-item true-false quiz. if she randomly answers each question, what
Alexeev081 [22]
Who names their child peppermint patty, I mean the candy is good but you gotta be pretty devoted to it to do that.

6 0
3 years ago
Read 2 more answers
Which best describes bias, if any, from the sample surveyed? survey: favorite sports sample: randomly selected fans at a basebal
Ugo [173]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
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