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Vinil7 [7]
3 years ago
13

A system of equations has definitely many solutions. If 2y-4x=6 is one of the equations, which could be the other equation?

Mathematics
1 answer:
NISA [10]3 years ago
8 0

The given equation is ⇒⇒⇒ 2y - 4x = 6

∴ 2y = 4x + 6   ⇒ divide all the equation over 2

∴ y = 2x + 3  and it can be written as ⇒⇒⇒ y - 2x = 3

The last equation represents a straight line with a slope = 2 and y-intercept = 3

To construct a system of equations with definitely many solutions and the equation ( 2y-4x=6 ) is one of the equations, the other equation must have the same slope and the same y-intercept.

so, the general solution of the other equation is ⇒ a ( y - 2x ) = 3a

Where a is constant and belongs to R ( All real numbers )

The system of equations which has definitely many solutions is consisting of <u>Coincident lines.</u>

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From a population of 200,000,000 elements, the standard deviation is known to be 14. A sample of 49 elements is selected. It is
Talja [164]

Answer:

The standard error of the mean = 2

Step-by-step explanation:

Given that:

The standard deviation σ = 14

The sample size n = 49

The sample mean \overline x = 56

The formula for calculating the standard error can be expressed as:

S.E = \dfrac{\sigma}{\sqrt{n}}

S.E = \dfrac{14}{\sqrt{49}}

S.E = \dfrac{14}{7}

S.E = 2

Therefore, the standard error of the mean = 2

4 0
3 years ago
Find the mean, meadian, mode and range for each set of data 6, 9, 2, 4, 3, 6, 5
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6 + 9 + 2 + 4 + 3 + 6 + 5 = 35

35 / 7 = 5

Median: Sort the set from the smallest value to the largest value and select the number in the middle. If the count of the set if even, then select the two middle values and take their mean average.

2, 3, 4, 5, 6, 6, 9

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So, the median average is 5.

Mode: What number appears the most frequently?

The mode of the set is 6 because it appears twice.

Range: Sort the set by ascending order and take the smallest value and subtract that from the largest value in the set.

9 - 2 = 7

The range is 7.

6 0
3 years ago
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If a woman takes an early pregnancy test, she will either test positive, meaning that the test says she is pregnant, or test neg
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Answer:

0.0098

Step-by-step explanation:

Probability of being pregnant:100/1000

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=98/1000

Therefore the probability that she really is pregnant is: 0.098

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3 years ago
A rectangle has a side length of (x+2) meters and a width of (2x+3) meters.
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Step-by-step explanation:

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3 years ago
2(2q + 1.5) = 18 - 9​
lys-0071 [83]

Answer:

q= 3/2   which equals     1 1/2

Step-by-step explanation:

hope this help good bless and please mark me the brainllest

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3 years ago
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