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morpeh [17]
3 years ago
10

A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-

axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Mathematics
2 answers:
Vlad [161]3 years ago
7 0

Answer:

D

Step-by-step explanation:

stira [4]3 years ago
6 0

Answer:

The correct option is (D) y=\frac{4}{7}\ x+\frac{1}{7}.

Step-by-step explanation:

The two-point form for the equation of straight line is:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})

The two points provided are:

A = (5, 3)

B = (12, 7)

Compute the equation of the trend line as follows:

(y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}

Thus, the equation of the trend line is y=\frac{4}{7}\ x+\frac{1}{7}.

The correct option is (D).

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For the function f ( x ) = − 2 x + 3 , evaluate and simplify the difference quotient.
aev [14]

Answer:

fraction x-3/2 is your answer for Sure

Step-by-step explanation:

y=-2x+3

x=2y+3

x-3=2y

x-3/2=y

6 0
2 years ago
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
Which number line represents the solution to the inequality 22 > 10x
S_A_V [24]

Answer:

\large\boxed{x

Step-by-step explanation:

22>10x\qquad\text{divide both sides by 10}\\\\\dfrac{22}{10}>\dfrac{10x}{10}\\\\2.2>x\to\boxed{x

<, > - open circle

≤, ≥ - closed circle

<, ≤ - draw the line to the left

>, ≥ - draw the line to the right

3 0
3 years ago
Find the number of multiples of 11 between 999 and 1999.
melomori [17]
I don’t know
if you u need an actual answer....but brainliest?
7 0
2 years ago
The slope of the line y = 4x − 2 is:
Paladinen [302]

Answer: m = 4

Step-by-step explanation: This is a linear equation.

Linear equations can be written in the form y = mx + b where

the multiplier, m, represents the slope of the line and the <em>b</em>

or the constant term represents the y-intercept of the line.

So the slope of this line is simply the multiplier

which is the coefficient of the x term which is 4.

The variable that's used to represent slope is <em>m</em>.

So we say that m = 4.

6 0
3 years ago
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