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IgorC [24]
3 years ago
5

A system of linear equations with fewer equations than unknowns is sometimes called an underdetermined system. Can such a system

have a unique​ solution? Explain. Choose the correct answer below. A. ​No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.
Mathematics
1 answer:
elena55 [62]3 years ago
3 0

Answer:

No, it cannot have a unique solution. Because there are more variables than​ equations, there must be at least one free variable. If the linear system is consistent and there is at least one free​ variable, the solution set contains infinitely many solutions. If the linear system is​ inconsistent, there is no solution.

Step-by-step explanation:

the questionnaire options are incomplete, however the given option is correct

We mark this option as correct because in a linear system of equations there can be more than one solution, since the components of the equations, that is, the variables are multiple, leaving free variables which generates more alternative solutions, however when there is no consistency there will be no solution

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Mr. Whitman gave a test to his 32 math students. He felt the results were low, so he retested them one week later. The results o
Liono4ka [1.6K]

The number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

<h3>What is box and whiskers plot?</h3>

Box plot is the way of representation of data which gives the graphical image of the data set to understand better. In this the data is represented with the help of quartile.

  • A.The difference in the median grade-

The median of first test is 60 while the second test is 80. Thus, the difference is,

d=80-60\\d=20

  • B. Compare the percent of students who got at least a 60 on the original test to those that got at least a 60 on the retake.

The student, who got at least 60 in first test, falls in the second half of the plot. Thus, the 50% of students got atleast 60% marks. In the retake test, all 100% student got at least 60 on test.

  • C. If the students need a 65 in order to pass the test, how many more passed the retake?

In the first test 1/4 are passed while in second test 3/4 students are passed and got the marks 65 or more than this, Thus the number of student pass more in this test,

n=(\dfrac{3}{4}-\dfrac{1}{2})\times 32\\n=8

Thus, the number of student more passed the retake, when the students need a 65 in order to pass the test is 8.

Learn more about the box and whiskers plot here;

brainly.com/question/9559392

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8 0
2 years ago
The mean life of a certain brand of auto batteries is 44 months with a standard deviation of 3 months. Assume that the lives of
alisha [4.7K]

Answer:

99.7%

Step-by-step explanation:

Using the z score formula

z-score is z = (x-μ)/σ

where:

x = raw score

μ = population mean

σ = population standard deviation.

a) for x = raw score = 35

μ = population mean = 44

σ = population standard deviation =3

z = (35 - 44)/3

z = -9/3

z = -3

b) for x = raw score = 53

μ = population mean = 44

σ = population standard deviation =3

z = (53 - 44)/3

z = 9/3

z = 3

We would use the standard normal distribution table to find their probabilities

P(Z<=-3)=0.0013499

P(Z<=+3)=0.99865

So P(-3<=Z<=3)=0.99865 - 0.0013499 = 0.9973

Converting to percentage = 0.9973 × 100 = 99.73%

Therefore, the percentage of auto batteries of this brand that have a life of 35 to 53 months to one decimal place is 99.7%

6 0
3 years ago
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Kay [80]

Answer:

50.27

452.39

0.79

Step-by-step explanation:

A=πr2=π·42≈50.26548

A=πr2=π·122≈452.38934

A=πr2=π·0.52≈0.7854

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3 years ago
Which is greater a bottle containing 64 fluid ounces or bottle containing two liters of water
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The answer to this problem is 2 liters.
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The range of a graph is associated with what?
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The range of a graph is associated with the y axis
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