It is in the simplest form
The probability that the ball Deborah picks is green is; 3/5.
<h3>What is the probability that the ball picked last is green?</h3>
Since the bag initially contains; 3 red balls, 4 green balls, and 2 yellow balls, after Deborah pulls out the 4 balls: red, red, green, yellow.
The balls remaining are; 1 red ball, 3 green and 1 yellow.
Hence, the probability that the final ball she picks is green is; 3/(3+1+1) = 3/5.
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Answer:
d ≈ 45 ft
General Formulas and Concepts:
<u>Symbols</u>
<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
- Subtraction Property of Equality<u>
</u>
<u>Geometry</u>
- Circumference of a Circle Formula: C = πd
Step-by-step explanation:
<u>Step 1: Define</u>
Circumference <em>C </em>= 141.3 ft
<u>Step 2: Solve for </u><em><u>d</u></em>
- Substitute in <em>C</em> [Circumference Formula]: 141.3 ft = πd
- Substitute in π (approximation): 141.3 ft ≈ 3.14d
- [Division Property of Equality] Divide both sides by 3.14: 45 ft ≈ d
- Rewrite: d ≈ 45 ft
The quadratic regression equation for this data set is
.
<h3>
What is the general form of a quadratic equation?</h3>
The general form of the quadratic equation is given by;

Where; a, b, and c are the constants.
x; 0 1 2 3 4 5
y; 2.82 3. 29 3. 46 3. 33 2. 88 2. 24
From the table when the value of x = 0 the value of y is 2.82.
Then,

From the table when the value of x = 3 the value of y is 3.33.

From the table when the value of x = 5 the value of y is 2.24.

And the value of b is;

Therefore,
The quadratic regression equation for this data set is;

Hence, the quadratic regression equation for this data set is
.
To know more about the Quadratic equation click the link given below.
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