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ankoles [38]
2 years ago
5

Solve the system of linear equations -x+4y=-8 -1/4x+y=-1​

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

Answer:

  • (- 2, - 6)

Step-by-step explanation:

Given system:

  • x + 4y = -8
  • -1/4x + y = -1​

1. Multiply the second equation by - 4 to get:

  • (- 4)(-1/4x + y ) = (- 4)(- 1)
  • x - 4y = 4

2. Now, add this up with the first equation:

  • x + 4y + x - 4y = - 8 + 4
  • 2x = - 4
  • x = - 2

3. Find the value of y:

  • - 2 + y = - 8
  • y = - 8 + 2
  • y = - 6

The solution is (- 2, - 6)

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4 years ago
Last question was inncorrectly typed:1.A sample of students who has taken a calculus test has a mean =78.2, mode =67, median 67.
vampirchik [111]

Answer:

(A) The data set of the sample of students who has taken a calculus test is right skewed.

(B) The average of female students in the class is 66.

Step-by-step explanation:

(A)

For a left skewed distribution the Mean < Median < Mode.

For a right skewed distribution the Mean > Median > Mode.

For a symmetric distribution the Mean = Median = Mode.

Given: Mean = 78.2, Median = 67 and Mode = 67

In this case the mean of the data is more than the median and mode.

Mean = 78.2>Median = Mode = 67

Thus, the data set of the sample of students who has taken a calculus test is right skewed.

(B)

Total number of student (n) = 35

Combined average (\mu_{c}) = 70

Number of male student (n_{M}) = 20

Average of male students (\mu_{M}) = 73

Number of female student (n_{F}) = 15

Average of female students = \mu_{F}

The formula to compute the combined average is:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}

Compute the value of \mu_{F} as follows:

\mu_{c}=\frac{n_{M}\mu_{M}+n_{F}\mu_{F}}{n_{M}+n_{F}}\\70=\frac{(20\times73)+(15\times\mu_{F})}{20+15}\\ 70\times35=1460+(15\times\mu_{F})\\\mu_{F}=\frac{2450-1460}{15} \\=66

Thus, the average of female students in the class is 66.

8 0
4 years ago
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