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Leokris [45]
2 years ago
15

90 men and 60 women were asked if they had watched the latest 'Expendables' movie.

Mathematics
2 answers:
Mrrafil [7]2 years ago
6 0

Answer:

30%. Remember the question is what percentage?

Step-by-step explanation:

Given Informations:

Men = 90

Women = 60

Total number (men + women) = 150.   ...... (1)

For Yes Members,

3/5 of the people said YES.

3/5 of 150 = 90 .......                                        (2)

This means that out of 150, 90 people said YES.

However, we dont know what ratio are men or women all we can deduce is that 90 said YES.

From the question, 3/10 are women that said YES.

Meaning 3/10 of 90 are women = 27. ..                  (3)

27  women said YES therefore

90 -27 = 63  Men said YES.

FOR NO Members,

If 90 out of 150 said yes, then 60 said NO.

However, we dont know the ratio of Men and Women that said NO. What we can do is to solve it from the known to the unknown.

For Men,

The total number is 90.

63 said YES, therefore (90 - 63 ) definitely said NO.

= 27 Men said NO                         (4)

For Women,

The total number of women is 60

27 said YES, Therefore (60 - 27) said NO

= 33 women said NO.      ( 5)

The question is what percentage of Men said NO?

Percentage =

number of men that said NO / The total number of Men  * 100

= 27/90 * 100

=30%

To Prove the Answer

If you agree with Eq 2, which says 90 people said yes. Therefore, (150 -90) = 60 said NO.

Remeber the 60 is inclusive of Men and Women.

Let's see, if we will get 60 when we add the number of men and women we got that said NO.

Add the value in Eq 4 + Eq 5.

27 + 33 = 60.

Stolb23 [73]2 years ago
5 0

Answer:

63 men said no.

Step-by-step explanation

3/5 * 2/2 = 6/10, 6/10 - 3/10 (women) = 3/10 meaning 7/10 men said no. 90*1.7 = 153, 153-90=63

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Elizabeth made a scale drawing of her school's basketball court before devising a winning strategy for her team. The dimensions
lesya [120]

Answer:

the answer is 16ft

step-by-step explanation:

in order to make a triangle with non-zero area, the sum of the shorter two sides must be greater than the longest side.

here, 4 + 4 > 7, so the lengths can form a triangle.

The correct answer was given: Brain

7+8= 15

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The correct answer was given: Brain

36 cm is the final : )

4 0
2 years ago
Read 2 more answers
Three students A, B, and C are enrolled in the same class. Suppose that A attends class 30 percent of the time, B attends class
Dvinal [7]

Answer:

(a) 0.93

(b) 0.38

Step-by-step explanation:

A attends class 30% of the time, so DO NOT attend 70%

B attends class 50% of the time, so DO NOT attend 50%

C attends class 80% of the time, so DO NOT attend 20%

Writing as probabilities:

P(A) = 0.30 and P(A') = 0.70

P(B) = 0.50 and P(B') = 0.50

P(C) = 0.80 and P(C') = 0.20

(a) the probability that at least one of them will be in class on a particular day

Let's call Q the event of none of them be in class on a particular day

Probability of at least one be in class is the complement of none of them be there, so: 1 - P(Q)

P(Q) = 0.7*0.5*0.2 = 0.07

1 - P(Q) = 1 - 0.07 = 0.93

(b) the probability that exactly one of them will be in class on a particular day?

One of them exactly be in class is

A is B not C not or A not B is C not or A not B not and C is, so

P(A).P(B').P(C') + P(A').P(B).P(C') + P(A').P(B').P(C)

0.3*0.5*0.2 + 0.7*0.5*0.2 + 0.7*0.5*0.8 =

0.03 + 0.07 + 0.28 = 0.38

4 0
2 years ago
Erin and her friends are taking a road trip. She has agreed to drive between hours 3 and 6 of the trip. If h represents the hour
Artist 52 [7]
1: to the right 
2:to the left
3:below
4:4.5,200
3 0
2 years ago
Read 2 more answers
Solve the system by substitution.
Butoxors [25]

<u>Answer:</u>

The solution set of given equations -x-y-z = -8 and - 4x + 4y + 5z = 7 and 2x + 2z = 4  is (3, 6, -1)

<u>Solution:</u>

Given, set linear equations are

-x – y – z = -8 ⇒ x + y + z = 8 → (1)

-4x + 4y + 5z = 7 ⇒ 4x – 4y – 5z = -7 → (2)

2x + 2z = 4 ⇒ x + z = 2 → (3)

We have to solve the above given equations using substitution method.

Now take (3), x + z = 2 ⇒ x = 2 – z  

So substitute x value in (1)  

(1) ⇒ (2 – z) + y + z = 8 ⇒ 2 + y + z – z = 8 ⇒ y + 0 = 8 – 2 ⇒ y = 6.

Now substitute x and y values in (2)

(2) ⇒ 4(2 – z) – 4(6) – 5z = - 7 ⇒ 8 – 4z – 24 – 5z = -7 ⇒ -9z – 16 = -7 ⇒ 9z = 7 – 16 ⇒ 9z = -9 ⇒ z = -1

Now substitute z value in (3)

(3) ⇒ x – 1 = 2 ⇒ x = 2 + 1 ⇒ x = 3

Hence, the solution set of given equations is (3, 6, -1).

4 0
2 years ago
RANDOMLY CHOOSING TWO POTENTIAL CLIENTS
gregori [183]
Let <span>Jacob, Carol, Geraldo, Meg, Earvin, Dora, Adam, and Sally be represented by the letters J, C, G, M, E, D, A, and S respectively. </span>

<span>In part IV we are asked:

</span><span>What is the sample space of the pairs of potential clients that could be chosen?
</span><span>
Since the Sample Space is the set of all possible outcomes, we need to make a set (a list) of all the possible pairs, which are as follows:

{(J, C), (J, G), (J, M), (J, E), (J, D), (J, A), (J, S)

          , </span>(C, G), (C, M), (C, E), (C, D), (C, A), (C, S)
<span>                   
</span>                      , (G, M), (G, E), (G, D), (G, A), (G, S)
<span>             
                                    ,</span>(M, E), (M, D), (M, A), (M, S)    
<span> 
                                               , </span>(E, D),  (E, A),  (E, S) <span>   
                                                          
                                                           , </span>(D, A), (D, S)
              
                                                                       , (A, S).}

We can check that the number of the elements of the sample space, n(S) is 

1+2+3+4+5+6+7=28.


This gives us the answer to the first question: <span>How many pairs of potential clients can be randomly chosen from the pool of eight candidates? 

(Answer: 28.)


II) </span><span>What is the probability of any particular pair being chosen?
</span>
The probability of a particular pair to be picked is 1/28, as there is only one way of choosing a particular pair, out of 28 possible pairs.

III) <span>What is the probability that the pair chosen is Jacob and Meg or Geraldo and Sally? 

The probability of choosing (J, M) or (G, S) is 2 out of 28, that is 1/14.


Answers:

I) 28
II) 1/28</span>≈0.0357
III) 1/14≈0.0714
IV)


{(J, C),  (J, G), (J, M),  (J, E),   (J, D),  (J, A),   (J, S)
          , (C, G), (C, M), (C, E),   (C, D), (C, A),  (C, S)
                      , (G, M), (G, E),  (G, D), (G, A),  (G, S)
                                   ,(M, E),  (M, D), (M, A),  (M, S)    
                                               , (E, D),  (E, A),  (E, S)    
                                                            , (D, A), (D, S)
                                                                        , (A, S).}
6 0
2 years ago
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