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sp2606 [1]
3 years ago
9

Please help will give Brain for it!!

Mathematics
1 answer:
Lyrx [107]3 years ago
4 0
Scale factor:
10/4= 2.5
X = 5 x 2.5 = 12.5
Y= 8/ 2.5 = 3.2
Z= 15/2.5 = 5
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The general manager, marketing director, and 3 other employees of Company A are hosting a visit by the vice president and 2 othe
yawa3891 [41]

Solution :

Let the three places be 1, 2, 3, 4, 5, 6, 7, 8

a). Number of the cases when a general manager is the next to a vice president is equal to 7 and the these 2 can be arranged in 21 ways. So the total number of ways = 7 x 2

                  = 14

[(1,2)(2,1) (2,3)(3,2) (3,4)(4,3) (4,5)(5,4) (5,6)(6,5) (6,7)(7,8) (8,7)(7,6)]

Therefore the required probability is

  $=\frac{14}{8!}$

 = $\frac{14}{40320} = 0.000347$

b). The probability that the marketing director to be placed in the leftmost position is

   $=\frac{7!}{8!}$

  $=\frac{1}{8} = 0.125$

c). The two events are not independent because

   $P(A \cap B) \neq P(A) \times P(B)$

  $\frac{12}{8!} \neq \frac{14}{8!} \times \frac{1}{8}$

where A is the case a and B is the case b.

8 0
3 years ago
estimate a 15% tip on a dinner bill of $49.75 by rounding first bill amount to the nearest ten dollars
AlladinOne [14]

Answer:

60.00

Step-by-step explanation:

49.75 + 15%(7.46) = 57.21

7 0
3 years ago
Evaluate each absolute value expression below | 2 | + | 4 | | − 3 | + | 5 | | − 7 | + | − 1 | − | 6 |
Bingel [31]

Answer:

  44

Step-by-step explanation:

The absolute value symbols turn any negative inside of them to a positive, so your expression is ...

  2 + 4·3 +5·7 +1 -6

  = 2 +12 +35 +1 -6

  = 44

4 0
3 years ago
Whats the difference between a subset and a proper subset? {5,8} {2,5,8} Is {5,8} a subset of {2,5,8}.
valina [46]

Answer:

\{5,8\} is a subset of \{2,5,8\}

Step-by-step explanation:

Required

Difference between subset and proper subset

To answer this question, I will use the following illustration.

A = \{1,2,3\}

B = \{2,3\}

C = \{1,2,3\}

In the above sets, set B is a proper subset of set A because all elements of B can be found in A, but not element of A can be found in B.

Set C is a subset of A because A = C

Using the above illustration, we have:

\{5,8\} and \{2,5,8\}

\{5,8\} is a subset of \{2,5,8\}, because 5 and 8 are in \{2,5,8\} but 2 which ca be found in \{2,5,8\} is not in \{5,8\}

8 0
2 years ago
What percentage of students under age 15 travel to school by car? Round to the nearest whole percent. 11% 18% 41% 80%
bixtya [17]

Answer:

11%

Step-by-step explanation:

We need to fill the missing cells of the table first and are interested in first row for under age 15

1. 152- 65= 87 for the top left cell

2. 165- (87+60)= 18 for car column on same row

now we have number 18 and the total of the first row is 165:

  • 18/165*100%= 10.9%

So the first choice- 11% is the answer

3 0
3 years ago
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