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vampirchik [111]
3 years ago
11

Fill in the blank to complete the calculation using the distributive property.

Mathematics
1 answer:
Minchanka [31]3 years ago
4 0
Where’s the picture of the question or the blank?
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4. The student council sold flowers for the Sweetheart dance as a fundraising
vekshin1

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total flowers sold = 200

Flowers are :

Carnations, Roses, and Gerber daisies

Carnations = c

Roses = r

Daisies = d

20 fewer roses than daisies ; r = d - 20

Total sales = $453

c = $1.50 each ; r = 3.75 each ; d = 2.25 each

c + d + d - 20 = 200

c + 2d = 220 - - (1)

1.50c + (d - 20)(3.75) + 2.25d = 453

1.50c + 3.75d - 75 + 2.25d = 453

1.50c + 6d = 528 - - - (2)

From (1)

c = 220 - 2d

1.5(220 - 2d) + 6d = 528

330 - 3d + 6d = 528

330 + 3d = 528

3d = 528 - 330

d = 198/3

d = 66

66 × 2.25 = $148.5

c = 220 - 2(66)

c = 88

88 * 1.50 = $132

r = d - 20

r = 66 - 20

r = 46

46 × $3.75 = $172.5

8 0
3 years ago
My sister needs help and i dont want to help her, heres the question:
Tanzania [10]

Answer:

1.6 laps per minute

Step-by-step explanation:

Explanation: In terms of number of laps per minute, the answer is 20 laps12.5 minutes=1.6 laps per minute.

4 0
3 years ago
Read 2 more answers
Is 2/3 greater than 2/5?
svetoff [14.1K]
Yes. 2/3 is greater than 2/5. You can check this by cross multiplication or easier just look at the denominator and numerator. In this case the numerator is the same so it's easier in a sense that you need to look at the denominator. Since the denominator 3 is close to the numerator 2 it shows that it's almost a whole unlike the other fraction. You can also convert each fraction to decimals and compare it which is also easy. Just divide the numerator by the denominator and you've got a decimal. Hope this helps!
7 0
3 years ago
Today’s weather report states that it is highly likely to snow today. Which probability best represents the chance of snow today
storchak [24]
It’s c highly likely is more than ,50 and less than 1.00
8 0
2 years ago
The Wall Street Journal Corporate Perceptions Study 2011 surveyed readers and asked how each rated the Quality of Management and
kykrilka [37]

Answer:

The calculated χ² =  <u>17.0281</u>    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent

The p-value is 0 .001909. The result is significant at p < 0.05

Part b:

40 > 8.5

35> 7.5

25> 4

Step-by-step explanation:

1) Let the null and alternative hypothesis as

H0: the quality of management and the reputation of the company are independent

against the claim

Ha: the quality of management and the reputation of the company are dependent

2) The significance level alpha is set at 0.05

3) The test statistic under H0 is

χ²= ∑ (o - e)²/ e where O is the observed and e is the expected frequency

which has an approximate chi square distribution with ( 3-1) (3-1)=  4 d.f

4) Computations:

Under H0 ,

Observed       Expected E              χ²= ∑(O-e)²/e

40                      35.00                          0.71

25                      24.50                         0.01

5                         10.50                         2.88  

35                      40.00                         0.62

35                      28.0                          1.75

10                       12.00                           0.33  

25                      25.00                             0.00

10                        17.50                              3.21

<u>15                       7.50                                 7.50  </u>

<u>∑                                                               17.0281</u>

     

     

Column Totals 100 70 30   200  (Grand Total)

5) The critical region is χ² ≥ χ² (0.05)2 = 9.49

6) Conclusion:

The calculated χ² =  <u>17.0281</u>    falls in the critical region χ² ≥  9.49  so we reject the null hypothesis that  the quality of management and the reputation of the company are independent and conclude quality of management and the reputation of the company are dependent.

7) The p-value is 0 .001909. The result is significant at p < 0.05

The p- values tells that the variables are dependent.

Part b:

If we take the excellent row total = 70 and compare it with the excellent column total= 100

If we take the good row total = 70 and compare it with the good column total= 80

If we take the fair row total = 50 and compare it with the fair column total= 30

The two attributes are said to be associated if

Thus we see that ( where (A)(B) are row and columns totals and AB are the cell contents)

AB> (A)(B)/N  

40 > 1700/200

40 > 8.5

35> 1500/200

35> 7.5

25> 800/200

25> 4

and so on.

Hence they are positively associated

8 0
3 years ago
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