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Anna35 [415]
3 years ago
8

Find the discount price of the item

Mathematics
2 answers:
tamaranim1 [39]3 years ago
4 0
Price of the guitar = $95

Discount = 15% = 0.15 x 95 = $14.25

Discounted Price = $95 - $14.25 = $80.75

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Answer: Discounted Price = $80.75 (Answer B)
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Nutka1998 [239]3 years ago
3 0
Multiply the amount with the discount

95 x 0.15 = 14.25

Since it is discount, subtract $14.25 from the total amount: $95

95 - 14.25 = $80.75

B) $80.75 is your answer

hope this helps
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A college infirmary conducted an experiment to determine the degree of relief provided by three cough remedies. Each cough remed
KiRa [710]

Answer:

p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed. So we can say that the 3 remedies ar approximately equally effective.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     13                      9               33

Some relief               32                   28                     27              87

Total relief                7                       9                      14               30

Total                         50                    50                    50              150

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference in the three remedies

H1: There is a difference in the three remedies

The level os significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*33}{150}=11

E_{2} =\frac{50*33}{150}=11

E_{3} =\frac{50*33}{150}=11

E_{4} =\frac{50*87}{150}=29

E_{5} =\frac{50*87}{150}=29

E_{6} =\frac{50*87}{150}=29

E_{7} =\frac{50*30}{150}=10

E_{8} =\frac{50*30}{150}=10

E_{9} =\frac{50*30}{150}=10

And the expected values are given by:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     11                       11               33

Some relief               29                   29                     29              87

Total relief                10                     10                     10               30

Total                         50                    50                    50              150

And now we can calculate the statistic:

\chi^2 = \frac{(11-11)^2}{11}+\frac{(13-11)^2}{11}+\frac{(9-11)^2}{11}+\frac{(32-29)^2}{29}+\frac{(28-29)^2}{29}+\frac{(27-29)^2}{29}+\frac{(7-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(14-10)^2}{10} =3.81

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(3-1)=4

And we can calculate the p value given by:

p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(3.81,4,TRUE)"

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed.

4 0
3 years ago
Dddddddddddddddddddddddd
Ierofanga [76]

Answer:

dddddddddddddddddddddddd could be rewritten as d^24 because d*d*d*d*d*d*d... = d^24

Step-by-step explanation:

When we multiply all of the d's together we get d^{24}.

4 0
3 years ago
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Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help o
vredina [299]

Answer:

what are the measures

Step-by-step explanation:

4 0
3 years ago
Tan(-212°) = _____.<br><br> -cot 32°<br> tan 32°<br> cot 32°<br> -tan 32°
Liula [17]
The correct answer is: -tan 32degrees
8 0
2 years ago
PLSSS HELP MEE SHOW UR WORK!!
kumpel [21]

Answer:

(-3, 13)

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients
  • Coordinates (x, y)
  • Solving systems of equations using substitution/elimination

Step-by-step explanation:

<u>Step 1: Define Systems</u>

y = -4x + 1

11y = x + 146

<u>Step 2: Solve for </u><em><u>x</u></em>

<em>Substitution</em>

  1. Substitute in <em>y</em>:                                                                                                  11(-4x + 1) = x + 146
  2. Distribute 11:                                                                                                      -44x + 11 = x + 146
  3. [Addition Property of Equality] Add 44x on both sides:                                11 = 45x + 146
  4. [Subtraction Property of Equality] Subtract 146 on both sides:                      -135 = 45x
  5. [Division Property of Equality] Divide 45 on both sides:                              -3 = x
  6. Rewrite/Rearrange:                                                                                          x = -3

<u>Step 3: Solve for </u><em><u>y</u></em>

  1. Define original equation:                                                                                 y = -4x + 1
  2. Substitute in <em>x</em>:                                                                                                 y = -4(-3) + 1
  3. Multiply:                                                                                                           y = 12 + 1
  4. Add:                                                                                                                    y = 13
6 0
3 years ago
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