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zaharov [31]
3 years ago
6

Question 9 (10 points) Solve for x, 2(x - 1) + 4 = 4(x + 1)

Mathematics
1 answer:
Nutka1998 [239]3 years ago
6 0
1. Expand
2x − 2 + 4 = 4x + 4

2. Simply
2x + 2 = 4x + 4

3. Subtract
2 = 4x + 4 - 2x

4. Simplify
2 = 2x + 4

5.Subtract
2 - 4 = 2x

6. Simplify
-2 = 2x

7. Divide both sides by
-1 = x

8.Switch sides.
x = -1
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To Find the product of 25x^2y and -6x²y3.

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The Candela brothers own two pizza restaurants, one on Park Street and one on Bridge Road.
koban [17]

The mean, median and mode are measures of central tendency, that is they tend to indicate the location middle of the data

Required values;

(a) The performance for the week for Park Street

  • Revenue is <u>Q₂ < $7,500 < Q₃</u>
  • The sales for the week is better than <u>72.91%</u> of all sales

The performance for the week for Bridge Road

  • Revenue; <u>Q₂ < $7,100 < Q₃</u>
  • The sale for the week is better than <u>59.87%</u> of all sales

(b) The mean is <u>$3611</u>

The median is $<u>3,600</u>

The standard deviation is $<u>3250</u>

The Interquartile range is $<u>6075</u>

Reason:

The table of values that maybe used to find a solution to the question is given as follows;

\begin{array}{|l|l|l|}\mathbf{Variable} &\mathbf{Park}&\mathbf{Bridge}\\N&36&40\\Mean&6611&5989\\SE \ Mean&597&299\\StDev&3580&1794\\Minimum&800&1800\\Q_1&3600&5225\\Median&6600&6000\\Q_3&9675&7625\\Maximum&14100&8600\end{array}\right]

(a) Park Street revenue = $7,500

Bridge Road's revenue = $7,100

The two stores sold close to but below the 75th percentile

Bridge Road revenue;

The z-score is given as follows;

Z = \dfrac{x - \mu }{\sigma }

  • Z = \dfrac{7100 - 5,989 }{1794 } \approx 0.6193

From the Z-Table, we have;

The percentile= 0.7291

  • Therefore, the sale for the week for Park Street is better than <u>72.91%</u> of all the sales

Park Street revenue;

The z-score is given as follows;

  • Z = \dfrac{7500 - 6611}{3580} \approx 0.25

From the Z-Table, we have;

The percentile = <u>0.5987</u>

  • Therefore, the sale for the week is better than <u>59.87 %</u> of all the sales

(b) Given that the operating cost is $3,000, frim which we have;

The subtracted value is subtracted from the mean and median to find the new value

Profit = The revenue - Cost

New mean = 6611 - 3000 = 3611

  • The new mean = <u>$3,611</u>

The new median = 6600 - 3000 = 3600

  • The new median = <u>$3,600</u>

The standard deviation and the interquartile range remain the same, therefore, we have;

  • The standard deviation = <u>$3,580</u>

The interquartile range = 9675 - 3600 = 6075

  • The interquartile range = <u>6075</u>

Learn more here:

brainly.com/question/21133077

brainly.com/question/23305909

5 0
1 year ago
2) For which value of P and W is P + W a rational number? P = 1/(sqrt(3)) And W = 1/(sqrt(6)) 2) P = 1/(sqrt(4)) and w = 1/(sqrt
fenix001 [56]

Answer:

  P = 1/(sqrt(4)) and w = 1/(sqrt(9))

Step-by-step explanation:

Only the roots of perfect squares are rational numbers. 2, 3, 6, and 10 are not perfect squares, so their roots are irrational. Both 4 and 9 are perfect squares, so their roots are rational. The sum of rational numbers is a rational number.

  \dfrac{1}{\sqrt{4}}+\dfrac{1}{\sqrt{9}}=\dfrac{1}{2}+\dfrac{1}{3}=\dfrac{5}{6}\quad\text{a rational number}

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