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makvit [3.9K]
3 years ago
10

2. A(n) _______________ system is a system of equations with an infinite number of solutions.

Mathematics
1 answer:
Anna11 [10]3 years ago
4 0

Answer:

If a system has infinitely many solutions, then the lines overlap at every point. In other words, they're the same exact line! This means that any point on the line is a solution to the system. Thus, the system of equations above has infinitely many solutions.

Step-by-step explanation:

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Linda needs 20 gallons of juice that has 75%fruit juice. she has a mixture that has 80% fruit juice and another mixtures that ha
suter [353]
Linda should use ...
  15 gallons of 80% juice
  5 gallons of 60% juice

_____
Let g represent the number of gallons of 80% juice needed. Then (20-g) is the number of gallons of 60% juice Linda will use. The amount of juice in the mixture can be written as
  0.80g +0.60(20 -g) = 0.75×20
  0.20g = 20(0.75 -0.60) = 20×0.15
  g = 20×0.15/0.20 = 15
The amount of 80% juice needed is 15 gallons, so 5 gallons of 60% juice are needed.
5 0
3 years ago
Jessica has an account with a credit union. Her account earns 2.4% simple interest yearly. Exactly a year and a half ago, she op
Dafna1 [17]
The basic equation for interest is the investment amount(x) times the time in years(y) times the percent of interest(z).

That makes the equation:

x·y·z= amount with interest.

Lets plug in the numbers:

$900 x 1.5 x 2.4%

Now turn the percent into a decimal:

2.4% ----> .024

Now the equation is:

$900 x 1.5 x .024

Now do the math:

$900 x 1.5 = 1350
1350 x .024 = 32.4
1350 + 32.4 = 1382.4

The final answer is $1382.40

Hope this helps!
6 0
3 years ago
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Setler79 [48]
Not 100% sure but it might be B
6 0
2 years ago
Reports on a student’s ACT, SAT, or MCAT usually give the percentile as well as the actual score. The percentile is just the cum
DaniilM [7]

Answer:

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the scores of a population, and for this case we know the distribution for X is given by:

X \sim N(25.3,6.5)  

Where \mu=25.3 and \sigma=6.5

And for this case we have a score of 31

The percentile is calculated with the following probability:

P(X

And using the z score we got:

P(X

So then we can conclude that 31 represent approximately the percentile 81 on the distribution given

He scored better than about 80.98 % of all MCAT takers.

6 0
3 years ago
What is the best estimate for the number of people in line at 7.A.M
Keith_Richards [23]

We have been given the equation

y=-5.131x^2+31.821x-3.333

It represents the number of people standing to catch a commuter train x hours after 5 A.M.

Now, in order to find the number of people in line at 7 a.m. , we need to substitute x= 2 in the above equation.

y(2)=-5.131(2)^2+31.821(2x)-3.333\\y(2)= 39.785 \approx 40

Therefore, the number of people in the line at 7 a.m. is 40

D id the correct option.

5 0
3 years ago
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