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Determine whether each ordered pair is a solution of the system.5-7x+2y2 =-10
1-5x-2y =-22

a) (-4,-6)
b) (6,4)

Answers

Answer 1
Answer:

According to the system:

5 – 7x + 2y² = -10

1 – 5x – 2y = -22

______________

a) No ; (4, 6) is not a solution to the

system. This point does not touch either equation.

b) No ; (6, 4) is not a solution to the system. This point does not touch either equation.

Solutions:

( (122 - 3 √(101))/(25), ( - 7 +3 √(101))/(10)) ≈ (3.674, 2.315) \n ( (122 + 3 √(101))/(25), ( - 7 - 3 √(101))/(10)) ≈ (6.086, -3.715)

x = ( 122 ∓ 3√101 ) / 25 ≈ 3.674 or 6.086

y = ( -7 ± 3√101 ) / 10 ≈ 2.315 or -3.715

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Answers

Answer:

A

Step-by-step explanation:

i took the test

A lightning bolt is graphed on the coordinate plane below. A rotation of this lightning bolt 270° clockwise would place it in which quadrant?A. Quadrant I (x, y)B. Quadrant II (-x, y)C. Quadrant III (-x, -y)D. Quadrant IV (x, -y)

Answers

Explanation

From the image, it can be seen that the initial position of the lightning bolt is in the first quadrant.

After it has been rotated 270 degrees clockwise, it moves by three quadrants and stays in the second quadrant

Answer: Option B

A certain genetic condition affects 8% of the population in a city of 10,000. Suppose there is a test for the condition that has an error rate of 1% (i.e., 1% false negatives and 1% false positives). Consider the values that would complete the table below.

Has condition Does not have condition totals

Test positive

Test negative

Totals

What is the probability (as a percentage) that a person has the condition if he or she tests positive? (Round your answer to one decimal place.)

Answers

Solution:

Population in the city= 10,000

As genetic condition affects 8% of the population.

8 % of 10,000

=(8)/(100)* 10,000=800

As, it is also given that, there is an error rate of 1% for condition (i.e., 1% false negatives and 1% false positives).

So, 1% false negatives means out of 800 tested who are found affected , means there are chances that 1% who was found affected are not affected at all.

So, 1% of 800 =(1)/(100)* 800=8

Also,  1% false positives means out of 10,000 tested,[10,000-800= 9200] who are found not affected , means there are chances that 1% who was found not affected can be affected also.

So, 1% of 9200 =(1)/(100)* 9200=92

1. Has condition Does not have condition totals  = 800

2. Test positive =92

3. Test negative =8

4. Total =800 +92 +8=900

5. Probability (as a percentage) that a person has the condition if he or she tests positive= As 8% are found positive among 10,000 means 9200 are not found affected.But there are chances that out of 9200 , 1% may be affected

=\frac{\text{1 percent of 9200}}{9200}\n\n ((1)/(100)* 9200)/(9200)=(92)/(9200)\n\n =0.01

that is Probability equal to 0.01 or 1%.

An train station has determined that the relationship between the number of passengers on a train and the total weight of luggage stored in the baggage compartment can be estimated by the least squares regression equation y=103+30x. Predict the weight of luggage for a flight with 86 passengers.

Answers

Answer:

2683

Step-by-step explanation:

Using the linear regression equation that predict the relationship between the weight of the luggage and the total number of passenger y = 103 + 30x, we can plug in the number of passenger x = 86 to predict the weight of the luggage on a flight:

y = 103 + 30*86 =  2683

Determine whether the value is from a discrete or continuous data set. Area of a park is 9.5 acres Is the value from a discrete or continuous data set? Discrete Continuous O

Answers

Answer: The value is from discrete data set.

Step-by-step explanation:

Since we have given that

Discrete data set is the data set which can be measured in numbers.

Continuous data set is the data set which can take any value within an interval.

As we have mention that

Area of a park = 9.5 acres

So, it is the exact number so, it can be measured in numbers.

so, it is discrete data set.

Hence, the value is from discrete data set.

John drives 257 miles and uses 9 gallons of gas. How many miles per gallon did he get?

Answers

Answer:

29 miles were used per gallon

Step-by-step explanation:

257 / 9 = 28.555..

We can round 28.555 to about 29.

So John got 29 miles per gallon.
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