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Lorico [155]
2 years ago
7

A(x) = 7 – 4x , A(-1) =

Mathematics
2 answers:
kramer2 years ago
8 0

Answer:

<em><u>7-4*(-1)</u></em>

<em><u>7-4*(-1)7+4</u></em>

<em><u>7-4*(-1)7+411</u></em>

Step-by-step explanation:

hope it will help u

stich3 [128]2 years ago
4 0

Answer:

A(- 1) = 11

Step-by-step explanation:

Substitute x = - 1 into A(x) , that is

A(- 1) = 7 - 4(- 1) = 7 + 4 = 11

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Suppose 6 quarts of a solution that is 52% antifreeze is mixed with 10 quarts of a solution that is 32% antifreeze. (A) how many
Vadim26 [7]
The total amount of the resulting mixture can be calculated by adding up the volume of the given substances assuming that volume addition is applicable given the properties of the fluids used. 

That is,
   T = 6 quarts + 10 quarts = 16 quarts

The total volume of the resulting mixture is 16.

Then, we do the component (antifreeze) balance by adding up the resulting antifreeze from the substances to the total. We let x be the percentage of antifreeze in the final mixture.

    6(0.52) + 10(0.32) = 16(x)

The value of x from the equation is 0.395.

Therefore, the answer to this item is 39.5%. 
4 0
2 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77
algol13

Answer:

Range: 12

Step-by-step explanation:

65, 66, 67, 68, 71, 73, 74, 77, 77, 77

Formula:

Range: highest value - lowest value = final answer

Range: 77 - 65 = 12

3 0
3 years ago
Which property is 5+ a = a + 5 ?
zheka24 [161]

Answer:

commutative \: property \: of \: addition \\ thank \: you

6 0
2 years ago
Mike can make 7 holiday cards with the cardstock he already has on hand. He is also buying more paper, and he can make 12 additi
ipn [44]

Answer:y = 12x + 7

Step-by-step explanation:

8 0
11 months ago
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