So,, there are 5 different flavors. A total of 180 people were asked. Hence, the hypothesis that there is no significant difference is that every flavor gets 180/5=36 flavors. x^2=

. In this case, mi is the proportion of the hypothesis, thus 36, n=180 and xi is the number of actual observations. Substituting the known quantities, we get that x^2=9. The degree of association is given by

. This yields around 0.10, much higher than our limit.
Answer:
r = 4
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
-5 + 22 = r - 4 + 3r + 5
<u>Step 2: Solve for </u><em><u>r</u></em>
- Combine like terms: 17 = 4r + 1
- Subtract 1 on both sides: 16 = 4r
- Divide 4 on both sides: 4 = r
- Rewrite: r = 4
<u>Step 3: Check</u>
<em>Plug in r to verify it's a solution.</em>
- Substitute: -5 + 22 = 4 - 4 + 3(4) + 5
- Add/Subtract: 17 = 3(4) + 5
- Multiply: 17 = 12 + 5
- Add: 17 = 17
7. 65 + 75 = 140
180 - 140 = 40
( I think this is the answer)
<u>Part 1)</u> "Four times the difference of a number and
is
"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 1) is</u>

<u>Part 2)</u> "One third of a number is
less than the number itself"
Let
x--------> the number
we know that
the expressions is equal to

therefore
<u>the answer part 2) is</u>

<u>Part 3)</u> "Ten increased by the quotient of a number and
is
"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 3) is</u>

<u>Part 4)</u> "One less than the product of a number and
is
more than the number itself"
Let
x---------> the number
we know that
the expressions is equal to

therefore
<u>the answer Part 4) is</u>
