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AlekseyPX
3 years ago
11

A horticulturist conducted an experiment on 110 thirty-six inch plant boxes to see if the amount of plant food given to the plan

t boxes was associated with the number of tomatoes harvested from the plants. The mean amount of plant food given was 27.8 milliliters with a standard deviation of 2.1 milliliters. The mean number of tomatoes harvested was 7.5 with a standard deviation of 1.5. The correlation coefficient was 0.7691. Use the information given to calculate the slope of the linear model that predicts the number of tomatoes harvested from the amount of plant food given. Round to the nearest hundredth.
Mathematics
1 answer:
djyliett [7]3 years ago
8 0

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4x + 5y = 10
Vika [28.1K]

Answer:

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

Step-by-step explanation:

Given equations are:

4x + 5y = 10

Ax + By = 16

The general form of linear equation in two variables is given by:

ax+by = c

Here a, b and c are constants and x,y are variables.

In the given equations, after comparing with the general form

a_1 = 4\\b_1 = 5 \\c_1 = 10\\a_2 = A\\b_2 =B\\c_2 = 16

"In order for a system of equations to have infinity many solutions,

\frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2} "

Putting the values we get

\frac{4}{A} = \frac{5}{B} = \frac{10}{16}\\\frac{4}{A} = \frac{5}{B} = \frac{5}{8}\\Now\\\frac{4}{A} = \frac{5}{8}\\\frac{A}{4} = \frac{8}{5}\\A = \frac{8}{5} * 4\\A = \frac{32}{5}\\And\\\frac{5}{B} = \frac{5}{8}\\\frac{B}{5} = \frac{8}{5}\\B = 8

Hence,

For A = 32/5 and B = 8 the system of equations will have infinitely many solutions.

5 0
3 years ago
Fine the value of X
makvit [3.9K]

Answer:

30

Step-by-step explanation:

60/40=3/2

105/40+x = 3/2

105/70=3/2

x=70-40 = 30

8 0
3 years ago
Read 2 more answers
What is the solution R-7=1?? Thank
cluponka [151]

Answer: R=8

Step-by-step explanation: R-7=1, R+7=1+7, R=8.

6 0
3 years ago
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The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
LenaWriter [7]

Answer:

B and C

Step-by-step explanation:

7 0
3 years ago
10. Given Triangle GHI with G(7, 0), H (-5, 5) and I (1, 9), find the slope of HI.
Y_Kistochka [10]
H = (-5,5)
I = (1,9)

slope formula : (y2 - y1) / (x2 - x1)
slope = (9 - 5) / (1 - (-5) = 4 / (1 + 5) = 4/6 reduces to 2/3 <==
3 0
3 years ago
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