1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alexxandr [17]
3 years ago
8

A florist has 96 white roses, 72 red roses, and 108 pink roses. If all the roses are used, what is the greatest number possible

of
identical bouquets that can be made?
B)
Mathematics
1 answer:
natali 33 [55]3 years ago
7 0
<h3>The greatest number possible of  identical bouquets that can be made is 12</h3>

<em><u>Solution:</u></em>

Given that,

A florist has 96 white roses, 72 red roses, and 108 pink roses

All the roses are used, we have to find the greatest number possible of  identical bouquets that can be made

Therefore, we have to find the greatest common factor (GCF) of 96, 72 and 108

<u>GCF of 96, 72 and 108</u>

The factors of 72 are: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 96 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

The factors of 108 are: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Then the greatest common factor is 12

Thus, greatest number possible of  identical bouquets that can be made is 12

You might be interested in
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
What is 7 times 7 + 7 ?
Basile [38]
The answer would be 98

7+7=14
14•7=98
5 0
3 years ago
Read 2 more answers
Help me please with an explanation/work, thank you!!
kiruha [24]

Answer:

1. 3

Step-by-step explanation:

8 0
3 years ago
Find the consecutive positive odd integers whose product is 99​
dezoksy [38]

Answer:

9 and 11

Step-by-step explanation:

So let's say that the first integer is x.

That means that the second integer is x+2, since it us the next odd number.

This problem can be easily solved with our mind the answer is 9 and 11, but I'll show you the steps to slove this.

We make an equation using these two numbers:

(x)*(x+2)=99\\

Now all we gotta do is solve for x:

x^2 +2x = 99\\x^2+2x-99=0

Now we use either splitting the middle term or quadratic formula:

x^2+11x-9x+99=0\\x(x+11)-9(x+11)=0\\(x+11)(x-9)=0

Now we split each terma and solve for x:

(x-9)=0\\x=9\\(x+11)=0\\x=-11

Now the question states <em>positive </em>so we can rule out x = -11.

Now we have the first integer x = 9,

the second integer is x+2 = 9+2 =11

So the two consecutive positive odd integers are 9 and 11

4 0
3 years ago
A golden rectangle has side lengths in the ratio of about 1: 1.618 if the long side of a golden rectangle is 35 cm what is its a
lakkis [162]

Answer:

The answer to your question is 757.1 cm²    

Step-by-step explanation:

Data

Ratio  1: 1.618

long side = 35 cm

Area = ?

Process

1.- Use proportions to solve this problem

       1 : 1.618 :: x : 35

        x = (35 x 1) / 1.618

        x = 35 / 1.618

        x = 21.63

2.- Calculate the area of the rectangle

Area = base x height

Area = 35 x 21.63

Area = 757.1 cm²        

5 0
3 years ago
Other questions:
  • Point j(-2,1) and point K(4,5) form line segment JK. For the point P that partitions JK in the ratio 3:7, what is the y- coordin
    5·2 answers
  • R+s/t=u, solve for t
    8·1 answer
  • MATHHHHHH HELPPP
    10·1 answer
  • What is true regarding the graphed function f(x)
    7·1 answer
  • 3≤7+g<br> Another solution one :)<br><br> What is the solution?
    6·1 answer
  • One die is blue and the other die is yellow. Both are rolled. What is the probability of getting the shm of 8?
    14·1 answer
  • The area of the rectangular floor in Tamara's room is 95 5/6 square
    12·2 answers
  • 4x+1=2x-5 show all steps and solve for x
    12·2 answers
  • Please help I’m not good at triangle angles
    13·1 answer
  • Two pools are being filled with water. To start, the first pool contains 1660 liters of water and the second pool contains 1900
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!