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3 years ago

Please help me with 19 and 20 please

Mathematics

1 answer:

lesya [120]3 years ago

3 0

9514 1404 393

Answer:

19. B -- continued, but modest ...

Step-by-step explanation:

19. There is no decline or decrease indicated on this graph. If growth were exponential, the graph would be concave upward, which it is not. There is continued growth indicated.

20. The percentage change from 2005 to 2010 is ...

(60 -20)/20 × 100% = 2 × 100% = 200%

One might compute an average rate of change per year of ...

200%/(5 yr) = 40%/yr

_____

<em>Additional comment</em>

As with any statement of percentage, you need to be very clear about what the base is.

Here, 100% is the number of farms in 2005, so an increase of 40% per year is an increase by 40% of the number in 2005. That is very different from 40% of the number in the previous year, which is how an annual percentage increase is usually interpreted. (The average annual rate of change is closer to 24% with respect to the previous year's number.)

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The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked

Serggg [28]

Answer:

a) The 99% confidence interval would be given by (24.409;24.979)

b) n=464

Step-by-step explanation:

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".

Part a

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

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

In order to calculate the critical value $t_{\alpha/2}$ we need to find first the degrees of freedom, given by:

$df=n-1=47-1=46$

Since the Confidence is 0.95 or 95%, the value of $\alpha=0.05$ and $\alpha/2 =0.025$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.025,46)".And we see that $t_{\alpha/2}=2.01$

Now we have everything in order to replace into formula (1):

$525-2.01\frac{75}{\sqrt{47}}=503.01$

$525+2.01\frac{75}{\sqrt{47}}=546.99$

So on this case the 95% confidence interval would be given by (503.01;546.99)

Part b

The margin of error is given by this formula:

$ME=t_{\alpha/2}\frac{s}{\sqrt{n}}$ (1)

And on this case we have that ME =7 msec, we are interested in order to find the value of n, if we solve n from equation (1) we got:

$n=(\frac{t_{\alpha/2} s}{ME})^2$ (2)

The critical value for 95% of confidence interval is provided, $t_{\alpha/2}=2.01$ from part a, replacing into formula (2) we got:

$n=(\frac{2.01(75)}{7})^2 =463.79 \approx 464$

So the answer for this case would be n=464 rounded up to the nearest integer

8 0

3 years ago

Important help asap.

spin [16.1K]

Answer: y = 5x

Step-by-step explanation:

(check to make sure it matches the graph)

y = 5(0) = 0

y = 5(2) = 10

y = 5(4) = 20

y = 5(6) = 30

y = 5(20) = 100 dollars

6 0

3 years ago

What is the Greatest Common Factor of x4 and x3? (1 point)

denis-greek [22]

The greatest common factor of both x^4 and x^3 would be x^3, since the largest number of X variables that you can evenly take out between both terms is x^3 or x cubed.

4 0

4 years ago

Read 2 more answers

P(t) = t^2- t; Find p(6)

Mars2501 [29]

Answer:

P(t)=30

Step-by-step explanation:

Plug in t=6 into the equation: P(t)=t^2-t

So P(t)= (6)^2-6

P(t)=36-6

P(t)=30