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3 years ago

Tell whether each order pair is a solution of the equation.

Mathematics

1 answer:

Sliva [168]3 years ago

3 0

Answer:

1.) (2,1) is a solution

2.) (4,3) is NOT a solution

Step-by-step explanation:

1.) (2,1)

These are these mean (x,y)

2=x and 1=y

You want to substitute the numbers for the letters in the equation.

so.

2(2)+1=5

4+1=5

5=5, This statement is true so (2,1) is a solution.

2.) Same as above. 4=x and 3=y

4(4)-3(3)=10

16-9=10

7 Does Not Equal 10, Therefore, (4,3) is Not a solution to the equation.

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Write the equation of a line that is perpendicular to y=3/2x+2 that goes through (6,-3)

scoray [572]

Answer:

$y + 3 = -\frac{2}{3}(x-6)$

Step-by-step explanation:

Perpendicular lines are lines which intersect at 90 degrees which have negative reciprocal slopes. The slope of the line y = 3/2x + 2 is 3/2. The slope of the line perpendicular to it will be -2/3. Substitute m = -2/3 and (6,-3) into the point slope form of a line.

$y - y_1 = m(x-x_1)\\y - -3 = -\frac{2}{3}(x-6)\\y + 3 = -\frac{2}{3}(x-6)$

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3 years ago

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3 years ago

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3 years ago

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this res

Andreyy89

Answer:

(a) S = {0, 1, 2, ..., 10}

(b) 0.256

Step-by-step explanation:

It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.

(a)

X = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.

X follows a binomial distribution.

The sample space of X is:

S = {0, 1, 2, ..., 10}

(b)

Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:

$P(X=7)={10\choose 7}(0.74)^{7}(1-0.74)^{10-7}$

$=120\times 0.121513\times 0.017576\\\\=0.25628549856\\\\\approx 0.256$

Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.

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4 years ago