Answer:
x = 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
10.5x - 1.9 = 19.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Add 1.9 to both sides: 10.5x = 21
- Divide 10.5 on both sides: x = 2
<u>Step 3: Check</u>
<em>Plug in x into the original equation to verify it's a solution.</em>
- Substitute in <em>x</em>: 10.5(2) - 1.9 = 19.1
- Multiply: 21 - 1.9 = 19.1
- Subtract: 19.1 = 19.1
Here we see that 19.1 does indeed equal 19.1.
∴ x = 2 is a solution to the equation.
Answer:
Step-by-step explanation:
a₁ = -3 = (-1)¹×3
a₂ = 6 = (-1)²×2×3
a₃ = -28 = (-1)³×2²×7
a₄ = 72 = (-1)⁴×2³×3²
a₅ = -360 = (-1)⁵×2³×3²×5
a₆ = 2160 = (-1)⁶×2⁴×3³×5
That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.
A linear regression is represented as: Where: .
- The interpretation of the slope is: <em>For every 1 mile increase in car mileage, there is a $0.0534 decrease in the car price.</em>
- <em>The correlation coefficient is </em><em />
<u>(a) Interpret the slope</u>
The linear model is given as:
Recall that:
By comparison:
From the question, we understand that:
So, the interpretation of the slope is:
<em>For every 1 mile increase in car mileage, there is a $0.0534 decrease in the car price</em>
<em />
<u>(b) The correlation coefficient (r)</u>
We have:
Take square roots of both sides
Hence, the correlation coefficient is
Read more about linear regressions at:
brainly.com/question/18405415
Answer:
1.070,0.1003
Step-by-step explanation:
Given that a random sample of n=1400 registered voters and found that 720 would vote for the Republican candidate in a state senate race.
p = the proportion of registered voters who would vote for the Republican candidate.
Sample proportion =
Hypotheses are:
(Right tailed test )
p difference =
Assuming null hypothesis to be true,
Std error =
a) Test statistic Z = p difference/std error = 1.070
b) When z =1.28, p value = 0.100273