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seraphim [82]
2 years ago
5

Help with algebra 2 I can’t figure out how to solve the problem .

Mathematics
1 answer:
defon2 years ago
3 0

Answer: D

Step-by-step explanation:

Using the equation plot in the coordinates of the points to see if they fit the equation.

5x-3y < 30  

A)  5(-3) -3(5) < 30

   -15 -15 < 30

    -30 < 30   This is true

B)  5(0) -3(0) < 30

     0 - 0 < 30

     0< 30     This is true

C)  5(-5) - 3(3) < 30

    -25 - 9  < 30

      -34 < 30    This is also true

D) 5(3) - 3(-5) < 30  

   15 + 15 < 30

  30 < 30         This is not true because 30 is not greater that 30

   

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A bottling company uses a filling machine to fill plastic bottles with cola. The bottles are supposed to contain 300 milliliters
PilotLPTM [1.2K]

Answer:

e. 0.0072

Step-by-step explanation:

We are given that a bottling company uses a filling machine to fill plastic bottles with cola. And the contents vary according to a Normal distribution with Mean, μ = 298 ml and Standard deviation, σ = 3 ml .

 Let    Z = \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)  where, Xbar = mean contents of six randomly

                                                                     selected bottles

                                                          n = sample size i.e. 6    

So, Probability that the mean contents of six randomly selected bottles is less than 295 ml is given by, P(Xbar < 295)

 P(Xbar < 295) = P( \frac{Xbar - \mu}{\frac{\sigma}{\sqrt{n} } } < \frac{295 - 298}{\frac{3}{\sqrt{6} } } ) = P(Z < -2.45) = P(Z > 2.45)

Now, using z% score table we find that P(Z > 2.45) = 0.00715 ≈ 0.0072 .

Therefore, option e is correct .

7 0
3 years ago
Tia had a garden that was 2 meters long. Her brother used 458 millimeters of the length at one end as a worm farm
Nastasia [14]

Answer:

154 centimeters

Step-by-step explanation:

Each meter is 1000 millimeters or 100 centimeters, and if Tia's brother used 458 millimeters of 2000 millimeters, you can subtract 458 from 200 and you get 1542. Since the answer options are in centimeters, simply divide by 10 and you get the answer in centimeter form (154)

6 0
3 years ago
Read 2 more answers
Will is twice as old as Jill. Three years ago, Jill's age was two fifths of Will's age then. How old is each now?
dimulka [17.4K]
"Will is twice as old as Jill."

                       Jill's age . . . . .   J
                       Will's age . . . . 2J .

"Three years ago . . .

                       Jill's age then . . . . .   J - 3
                       Will's age then . . . . 2J - 3

". . . Jill's age then was 2/5 of Will's age then."

                                         J - 3  =  (2/5) (2J - 3)
Multiply
each side by  5 :          5J - 15  =  2 (2J - 3)

Divide
each side by  2 :          2.5 J - 7.5  =  2J - 3 

Subtract  2J
from each side:            0.5 J - 7.5  =      -3

Add  7.5
to each side:                0.5 J           =     4.5

Multiply
each side by  2 :                J            =       9

Jill is  9  y.o. now.
Will is 18 y.o. now.

4 0
2 years ago
Solve the system of equations by elimination <br> 3x+4y=31<br> 2x-4y=-6
ANEK [815]
3x + 4y = 31
2x - 4y = -6

*The +4 and -4 in the center of the equation cancel out because 4-4 = 0*

3x = 31
2x = -6
------------

*add like terms*

3x + 2x = 5x

31 - 6 = 25

So now you should have this written on your paper ... > 5x = 25

*Divide by 5 on each side*

5x = 25
_      _
5      5

x = 5
5 0
2 years ago
Read 2 more answers
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Snowcat [4.5K]

1st gift shop:

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2nd gift shop:

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192/8 = 24 cents each

270 /9 = 30 cents each

360/10 = 36 cents each


 so if both gift shops have a fixed price then the 9 post cards would be the answer since it matches 30 each like the 1st gift store


5 0
3 years ago
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