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scZoUnD [109]
3 years ago
9

Without graphing, classify the following system as independent, dependent, or inconsistent.

Mathematics
1 answer:
Galina-37 [17]3 years ago
3 0

Answer:

Step-by-step explanation:

There is a missing operator in the second equation.

If the equation is 4x - 8y = 4, then the system is dependent. The second equation is a non-zero multiple of the first.

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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
A submarine is only allowed to change its depth by rising toward the surface in 50 METER STAGES. it starts off at -225 meters. H
omeli [17]

Answer:

It will take 5 stages to reach the surface.

Step-by-step explanation:

-225/50=4.5 or what times 4.5 equals -225

Then the problem says to round up so 4.5 becomes 5.

5 0
3 years ago
Given the equation y = 3x − 4, what is the value of x when y = 5? A) 3 B) 6 C) 9 D) 12
Dmitrij [34]

Answer:

A. 3

Step-by-step explanation:

The answer would be A because 3 times 3 is 9 and 9-4=5 which is the value o f y. 3x-4=5

add 4 to both sides: 3x=5+4

simplify: 5+4=9

divide both sides by 3:  x= 9/3

simplify 9/3 to 3:

x= 3

hope this helps!!

7 0
3 years ago
Someone please answer this and dont just take my points and run without giving me the answer
k0ka [10]

Answer:

So the answer is v=112 sa=165

Step-by-step explanation:

Try using formulas such as 1

4h﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4

and

A=12bh

7 0
3 years ago
Read 2 more answers
The bill for a stay in a hotel was $188 including $15 tax. what percent of the bill was the tax?
ziro4ka [17]
\frac{15}{188}\cdot100\%=\\\\\frac{1500}{188}\%\approx8\%\\\\The\ tax\ was\ about\ 8\%\ of \ bill.
4 0
3 years ago
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