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kondor19780726 [428]
3 years ago
8

Y = 10.5x y = 7.5x + 30

Mathematics
1 answer:
Serggg [28]3 years ago
8 0

Answer: First one: X= 1/10.5

               Second one: not sure sorry!

Step-by-step explanation:

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the population of collin county, which follows the exponential growth model, increased from 491,675 in 2000 to 782,341 in 2010.
CaHeK987 [17]

Applying the formula for the exponential growth model, the growth rate is  0.046447277776453351798354258063923

the exponential growth is a data pattern that illustrates an increase over time by generating an exponential function curve.

The exponential growth model can be expressed as:

P(t) = P(0) x e^(k.t)

Where:

P(t) = Value at time t

P(0) = Initial value

k = growth rate

Information from the problem:

P(0) = 491,675

P(t) = 782,341

t = 2010 - 2000 = 10 years

Substitute the data into the formula:

782,341 = 491,675 x e^{10k}

e^{10k} = 782,341 / 491,675

10 k . ln e = ln (782,341 / 491,675)

10 k = 0.46447277776453351798354258063923

k = 0.046447277776453351798354258063923

Read more about the exponential growth model here:

brainly.com/question/14973088

#SPJ4

8 0
1 year ago
Eric wants to estimate the percentage of elementary school children who have a social media account. He surveys 450 elementary s
tigry1 [53]
<h2>Answer with explanation:</h2>

The confidence interval for population mean is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

, where \hat{p} is the sample proportion, n is the sample size , z_{\alpha/2} is the critical z-value.

The  values needed to calculate a confidence interval at the 99% confidence level are :

Given : Significance level : \alpha:1-0.99=0.01

Sample size : n=450

Critical value : z_{\alpha/2}=2.576

Sample proportion: \hat{p}=\dfrac{280}{450}\approx0.62

Now, the  99% confidence level will be :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\=0.62\pm(2.576)\sqrt{\dfrac{0.62(1-0.62)}{450}}\\\\\approx0.62\pm0.023\\\\=(0.62-0.023,\ 0.62+0.023)=(0.597,\ 0.643)

Hence, the  99% confidence interval is (0.597,\ 0.643)

6 0
3 years ago
Can you please show work please
-BARSIC- [3]

Answer:

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Step-by-step explanation:

y = mx+b

In slope-intercept form, these are important to know:

- y and x should stay as variables

- m = slope of the line

- b = y intercept

Using the facts above⬆, we can solve these problems

Remember: Substitute m and b using the given information

1) y = 3x+5

2) y =  \frac{1}{2}x-4

3) y = -x + 0

4) y = -\frac{5}{3}x+8

5) y = \frac{3}{5} x - 7

Hope this helps :)

Have a great day!

3 0
3 years ago
B + 5/14 ; b=5/7<br> Help, please
Anna [14]
<h2>Answer: 15/14</h2><h2>_____________________________________</h2><h3>Honey, all you need to do is substitute the value of the variable into the equation and simplify!</h3><h3>To get the answers:</h3><h3>Exact Form:</h3><h3>15/14</h3><h3>Decimal Form:</h3><h3>1.07142857…</h3><h3>Mixed Number Form:</h3><h3>1 1/14</h3><h2>_____________________________________</h2><h3>Hope you have a good day, Loves!~ <3</h3>
7 0
3 years ago
Explain how to distinguish between a rational number and an irrational number
STALIN [3.7K]
A rational number has a end but an irrational number doesn't.

4 0
4 years ago
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