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Charra [1.4K]
2 years ago
9

What is the best first step in solving the equation 3+√6x=5?

Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0
Cube both sides
remember PEMDAS
parentheses
Exponents
Multiplication
Division
Addition
Subtraction
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Statistics students in Oxnard College sampled 10 textbooks in the Condor bookstore, and recorded number of pages in each textboo
jeka94

Answer:

y = -0.85 + 0.09x; $49.82

Step-by-step explanation:

1. Calculate Σx, Σy, Σxy, and Σx²  

The calculation is tedious but not difficult.

\begin{array}{rrrr}\mathbf{x} & \mathbf{y}  & \mathbf{xy} & \mathbf{x^{2}}\\526 & 52.08 & 27394.08 & 276676\\625& 59.00 & 36875.00 &390625\\589 & 56.12 & 33054.68 & 346921\\409 & 25.72 & 10519.48 & 167281\\489 & 34.12& 16684.68 & 293121\\500 & 53.00 & 26500.00 &250000\\906 & 76.48 & 71102.88 & 820836\\251 &26.08 & 6546.08 & 63001\\595 & 50.60 & 30107.00 & 354025\\719 & 68.52 & 49265.88 & 516961\\\mathbf{5609} & \mathbf{503.72} &\mathbf{308049.76} & \mathbf{3425447}\\\end{array}

2. Calculate the coefficients in the regression equation

a = \dfrac{\sum y \sum x^{2} - \sum x \sum xy}{n\sum x^{2}- \left (\sum x\right )^{2}} =  \dfrac{503.7 \times 3425447 - 5609 \times 308049.76}{10 \times 3425447- 5609^{2}}\\\\= \dfrac{1725466163 - 1727851103.84}{34254470 - 31460881} = -\dfrac{2384941}{2793589}= \mathbf{-0.8537}

b = \dfrac{n\sumx y  - \sum x \sumxy}{n\sum x^{2}- \left (\sum x\right )^{2}} = \dfrac{3080498 - 2825365.48}{2793589} = \dfrac{255132}{2793589} = \mathbf{0.09133}

To two decimal places, the regression equation is

y = -0.85 + 0.09x

3. Prediction

If x = 563,

y = -0.85 + 0.09x = -0.85 + 0.09 × 563 = -0.85  + 50.67 = $49.82

(If we don't  round the regression equation to two decimal places, the predicted value is $50.56.)

 

4 0
4 years ago
Find the value of 3 ÷ (9-6) + 4×2
34kurt

Answer:

9

Step-by-step explanation:

Use the order of operations to solve this (PEMDAS or GEMDAS)


Hope this helps!


~Courtney

7 0
3 years ago
Read 2 more answers
What is the radius of a circle with the equation x2 + y2 – 14x + 10y = 250?
ololo11 [35]
X2 + y2 - 14x + 10y = 250
x2 -14x + 49 - 49 + y2 + 10x + 25 - 25 = 250
(x - 7)^2 - 49 + (y+5)^2 - 25 = 250
(x-7)^2 + (y+5)^2 = 250 + 49 + 25
(x-7)^2 + (y+5)^2 = 324

Therefore the radius, r
r = 324^0.5
r = 18
4 0
4 years ago
Find the sum of 4x^{2} -4+6 and -7^{2} +3x+1
denpristay [2]

Answer: 4x² + 3x + 52

Step-by-step explanation:

1. rearrange & simplify terms:

(4x² - 4 + 6) + (3x - 7² + 1) . . .

(4x² + 2) + (3x + 49 + 1) . . .  

 (4x²+2) + (3x + 50).

2. combine like terms in standard form:

<u>4x² + 3x + 52</u>

4 0
4 years ago
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
andreev551 [17]

Answer:

816 square feet

Step-by-step explanation:

13(16+20+12) + 16(12) = 816

7 0
3 years ago
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