MATHEMATICS HIGH SCHOOL

You test 8 automobiles of the same make and model and find their mileage ratings to be 27, 27, 28, 29, 32, 33, 34, and 1,000,000 mpg, arranged in order from smallest to largest. If you use inferential statistics (and reject the outlier) to predict what mileage consumers can expect when they buy this type of car, what value would you predict?

Answers

Answer 1

Answer:

Answer:

it 30 mpg

Step-by-step explanation:

Answer 2

Answer:

The statement " y varies directly as x ," means that when x increases,y increases by the same factor. In other words, y and x always have the same ratio:

= k

where k is the constant of variation.
We can also express the relationship between x and y as:

y = kx

where k is the constant of variation.

Since k is constant (the same for every point), we can find k when given any point by dividing the y-coordinate by the x-coordinate. For example, if y varies directly as x , and y = 6 when x = 2 , the constant of variation is k = = 3 . Thus, the equation describing this direct variation is y = 3x .

Example 1: If y varies directly as x , and x = 12 when y = 9 , what is the equation that describes this direct variation?

k = =
y = x

Example 2: If y varies directly as x , and the constant of variation is k = , what is y when x = 9 ?

y = x = (9) = 15

As previously stated, k is constant for every point; i.e., the ratio between the y -coordinate of a point and the x -coordinate of a point is constant. Thus, given any two points (x 1, y 1) and (x 2, y 2) that satisfy the equation, = k and = k . Consequently, = for any two points that satisfy the equation.

Example 3: If y varies directly as x , and y = 15 when x = 10 , then what is y when x = 6 ?

=
=
6() = y
y = 9

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» Which shape is a parallelogram with 4 right angles?

Answers

Answer:

rectangle

Step-by-step explanation:

Graph 4x^2 + y^2 = 9. What are its lines of symmetry?

Answers

4 x² + y² = 9 / : 9
x² / (9/4) + y² / 9 = 1
This is an ellipse. Equation is: x²/a² + y²/b² = 1
a² = 9/4 ⇒ a = 3/2
b² = 9 ⇒ b = 3
The axis of symmetry are the x and y axis, or the lines: y = 0 and x = 0.
Graph is in the attachment.

The lines of symmetry for the graph of equation 4x² + y² = 9 are the x-axis and the y-axis.

To determine the lines of symmetry of the graph of equation 4x² + y² = 9, we need to analyze the form of the equation.

The given equation represents an ellipse, as it contains terms for both x² and y².

Comparing this with the given equation 4x² + y² = 9, we can rewrite it as:

(2x)²/3² + y²/3² = 1

By comparing the equations, we can deduce that a² = 3² and b² = 3². This means that the major axis has a length of 2a = 2(3) = 6 and the minor axis has a length of 2b = 2(3) = 6.

Since the ellipse is symmetric with respect to both the x-axis and the y-axis, there are two lines of symmetry.

Learn more about ellipses here:

brainly.com/question/9448628

#SPJ6

Given the center of the circle (-3,4) and a point on the circle (-6,2), (10,4) is on the circle.True or False?

Answers

With the center and the point (-6,2) you can deduce the equation of the circle

(x-xo)^2 + (y-yo)^2 = r^2

(x+3)^2 + (y-4)^ = r^2

r^2 is otained from the center and the point (-6,2)

r^2 = (-6 -(-3))^2 + (2-4)^2 = (-6+3)^2 + (-2)^2 = (-3)^2 + 4 = 9 + 4 = 13.

Then the equation of the circle is

(x+3)^2 + (y-4)^ = 13

Now we subsitute the point (10,4) into that equation and see whether it belongs to it:

(10+3)^2 + (4-4)^2 = 13^2

13^2 ≠ 13, so the point does not belong to the equation.

A matrix is rectangular array of numbers

Answers

True a matrix is a rectangular array of numbers.

Sheldon has a traditional health insurance plan. He has a $200 deductible. The level of co-insurance for his plan is 90/10, where 10 represents Sheldon’s portion. He does not have a co-payment. If Sheldon incurs a $1,500 hospital bill, how much money will the insurance company pay for the bill?

Answers

The answer is $1,170. The hospital bill is $1,500 less the $200 deductible which is $1,300. Sheldon will then pay for 10% of his portion so multiply $1,300 by 10% with is $130 and deduct it to $1,300 which gives you $1,170.

The sphere at the right fits snugly inside a cube with 18-in. edges. What is the approximate volume of the space between the sphere and cube?

Answers

Answer:

Step-by-step explanation:

We need to first find the volume of the cube, then subtract from it the volume of the sphere. This is what we are being asked to find. First, the volume of the cube is length times width times height. Since this is a cube, all of the sides are the same length, making the volume

V = 18³ so

V = 5832 inches cubed. Now for the sphere.

The formula for the volume of a sphere is

$V=(4)/(3)\pi r^3$ and we will use 3.1415 for π.