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Ganezh [65]
3 years ago
14

In 2007, the U.S. population was 302 million people. In 2012, it was 314 million. What was the rate of population change per yea

r?
Mathematics
1 answer:
allsm [11]3 years ago
6 0

Answer:

314/302=1.039735 growth in US population in 5 years

(1.039735)^1/5=0.782% average growth in US population per year.

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What is 100 + 4200 + 50 rounded to the nearest ten thousand
Finger [1]
100+4200 is 4,300 4,300+50 is 4,350 if you rounded that to the nearest 10,000 it's 10,000 Explain cause I think you're missing something from the question
4 0
3 years ago
HELP ME PLEASEE
Nina [5.8K]

Answers:

x = -8/5 or x = 8/5

Sum of the first ten terms where all terms are positive = 4092

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

Explanation:

r = common ratio

  • first term = 4
  • second term = (first term)*(common ratio) = 4r
  • third term = (second term)*(common ratio) = (4r)*r = 4r^2

The first three terms are: 4, 4r, 4r^2

We're given that the sequence is: 4, 5x, 16

Therefore, we have these two equations

  • 5x = 4r
  • 4r^2 = 16

Solve the second equation for r and you should find that r = -2 or r = 2 are the only possible solutions. If r = -2, then 5x = 4r solves to x = -8/5. If r = 2, then 5x = 4r solves to x = 8/5.

-----------------

To find the sum of the first n terms, we use this geometric series formula

Sn = a*(1 - r^n)/(1 - r)

We have

  • a = 4 = first term
  • r = 2, since we want all the terms to be positive
  • n = 10 = number of terms to sum up

So,

Sn = a*(1 - r^n)/(1 - r)

S10 = 4*(1 - 2^10)/(1 - 2)

S10 = 4*(1 - 1024)/(-1)

S10 = 4*(-1023)/(-1)

S10 = 4092

8 0
2 years ago
The Blue Lake Water Company has two departments, Purifying and Bottling. The Bottling Department received 76,000 liters from the
Snezhnost [94]

It is 71,000. :) ...........

7 0
3 years ago
ASHLEY IS GOING ON A TRIP TO LONDON. SHE SAVED $100.00 IN SPENDING MONEY. WHEN SHE ARRIVES IN ENGLAND, SHE GOES TO A BANK TO CHA
Ilya [14]

Answer:

65.93

Step-by-step explanation:

Okay, first lets convert the money.

100 ÷ 1.43 = 69.9300699301 (69.93)

69.93 - 4 = 65.93

Ashley has 65.93 pounds.

Hope this helps! Brainliest would be appreciated. :)

4 0
2 years ago
Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Therefore,

\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}

\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}

<u>Multiplication Rule for Independent Events</u>

For independent events A and B:

  • \sf P(A\:and\:B)=P(A) \times P(B)

Therefore,

\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}

<h3><u>Conclusion</u></h3>

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

8 0
1 year ago
Read 2 more answers
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