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3 years ago

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Margot is studying the yield of bushels of wheat in comparison to the amount of rainfall, in inches, that occurs. She finds the

linear regression equation to be y = 47.3 +0.78x.
If an additional 1 inch of rain fell, how many MORE bushels of wheat would be yielded?
A) 0.78
B) 47.3
C) 48.08
D) 60.64

2 answers:

Sati [7]3 years ago

8 0

Answer:

a

Step-by-step explanation:

Aleksandr [31]3 years ago

4 0

I think the correct answer is ethier A ob C im leaning tworad A

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In a G.P the difference between the 1st and 5th term is 150, and the difference between the

liubo4ka [24]

Answer:

Either $\displaystyle \frac{-1522}{\sqrt{41}}$ (approximately $-238$ ) or $\displaystyle \frac{1522}{\sqrt{41}}$ (approximately $238$ .)

Step-by-step explanation:

Let $a$ denote the first term of this geometric series, and let $r$ denote the common ratio of this geometric series.

The first five terms of this series would be:

$a$ ,
$a\cdot r$ ,
$a \cdot r^2$ ,
$a \cdot r^3$ ,
$a \cdot r^4$ .

First equation:

$a\, r^4 - a = 150$ .

Second equation:

$a\, r^3 - a\, r = 48$ .

Rewrite and simplify the first equation.

$\begin{aligned}& a\, r^4 - a \\ &= a\, \left(r^4 - 1\right)\\ &= a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) \end{aligned}$ .

Therefore, the first equation becomes:

$a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right) = 150$ ..

Similarly, rewrite and simplify the second equation:

$\begin{aligned}&a\, r^3 - a\, r\\ &= a\, \left( r^3 - r\right) \\ &= a\, r\, \left(r^2 - 1\right) \end{aligned}$ .

Therefore, the second equation becomes:

$a\, r\, \left(r^2 - 1\right) = 48$ .

Take the quotient between these two equations:

$\begin{aligned}\frac{a\, \left(r^2 - 1\right) \, \left(r^2 + 1\right)}{a\cdot r\, \left(r^2 - 1\right)} = \frac{150}{48}\end{aligned}$ .

Simplify and solve for $r$ :

$\displaystyle \frac{r^2+ 1}{r} = \frac{25}{8}$ .

$8\, r^2 - 25\, r + 8 = 0$ .

Either $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ or $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ .

Assume that $\displaystyle r = \frac{25 - 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = -\frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= -\frac{1522\sqrt{41}}{41} \approx -238\end{aligned}$ .

Similarly, assume that $\displaystyle r = \frac{25 + 3\, \sqrt{41}}{16}$ . Substitute back to either of the two original equations to show that $\displaystyle a = \frac{497\, \sqrt{41}}{41} - 75$ .

Calculate the sum of the first five terms:

$\begin{aligned} &a + a\cdot r + a\cdot r^2 + a\cdot r^3 + a \cdot r^4\\ &= \frac{1522\sqrt{41}}{41} \approx 238\end{aligned}$ .

4 0

2 years ago

What is 2+2×2 ? it is little test for your math skills :)

mr_godi [17]

Answer:

8

Step-by-step explanation:

2+2=4

4*2=8

DONE!!!!!!

8 0

3 years ago

Please answer this math question for me

vampirchik [111]

Answer:

D=90° E=103° F=77°

Step-by-step explanation:

D+90°=180°

D=90°

F+103°=180°

F=77°

E + F=180°

E=103°

6 0

2 years ago

Read 2 more answers

You were paid $82.50 for seven 1/2 hours <br> of work what is your rate of pay

sertanlavr [38]

$11 per hour. Divide 82.5 by 7.5 and you get how much money she earns in an hour (11 dollars)

6 0

3 years ago

If arc CE is 125°, what is the measure of angle CDE?

Delvig [45]

Check the picture below.

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2 years ago