Suppose that x and y vary inversely. Write a function that models each inverse
variation.
x = -13 when y = 100
EE ⁹⁹ 흐흐흐≡
Q√ C

The sample size required is 2938.645

Probability is the likeliness of an event to happen.

It is given that

p = .37

∈ = 0.025

∝ = 1 - 0.995 = 0.005

∝[tex]\rm z_{\alpha/2} = z_{0.005/2} = 2.807[/tex]  (From z table)

Sample size n is given by

[tex]\rm n = (\dfrac{z_{\alpha/2}}{\epsilon})^2 p (1-p)\\\\n = (\dfrac{2.807}{.025})^2 *0.37*(1-0.37)\\\\n = 2938.645\\[/tex]

Therefore the sample size required is 2938.645

To know more about Probability

https://brainly.com/question/11234923

#SPJ1

Answer:

2nd one is the correct

The area of triangle is 24 sq. units

Area of rectangle is product of its length to its breadth.

i.e., Area of rectangle = length* breadth

let A(6, -3), B(3, -6), C( -1, -2) and D( 2, 1)

Using distance formula

AB = √(3-6)²+ (-6 +3)²

AB= √9 + 9

AB= √18

AB= 3√2

now,

BC=  √(-1-3)²+ (-2 +6)²

BC = √16 +16

BC = √32

BC =4 √2

Now, Area of rectangle

= AB* BC

=  3√2 *4 √2

= 12*2

= 24 square units

Hence, area of rectangle is 24 sq. units

Learn more about area of rectangle here:

https://brainly.com/question/14689998

#SPJ1

Answer:

740 miles

Step-by-step explanation:

$415-$230=$185

$185÷0.25 per miles =740 miles

Answer:

60 miles

Step-by-step explanation:

miles that Sophia drove = 3/5 x 100 = 60 miles

A fraction is a way to describe a part of a whole. The distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

A fraction can also be described in the form of a percentages, to represent the part of the whole.

Given that the length of the entire trip is 500 miles. Also, the first 3/5 of the trip are covered by Sophia and the last 2/5 of the trip are covered by Toby.

Now, the distance covered by Sophia and Toby will be,

Distance covered by Sophia = (3/5) × 500 miles = 300 miles

Distance covered by Toby = (2/5) × 500 miles = 200 miles

Hence, the distance covered by Sophia and Toby is 300 miles and 200 miles, respectively.

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ5

The probability that a single can will contain 11.6 ounces or less of soda is 0.2843

The given parameters are:

x = 11.6

Mean = 12

Standard deviation = 0.7

Calculate the z value using:

[tex]z = \frac{x - \bar x}{\sigma}[/tex]

This gives

[tex]z = \frac{11.6-12}{0.7}[/tex]

z = -0.57

The probability is then calculated as:

P(x ≤ 11.6) = P(z ≤ -0.57)

Using the z table of probabilities, we have:

P(x ≤ 11.6) = 0.2843

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a pack contains 11.6 ounces or less is

P(6) = 0.2843^6

P(6) = 0.00053

In (a), the probability that a can contains 11.6 ounces or less is 0.2843

The probability that all cans in a case contains 11.6 ounces or less is

P(36) = 0.2843^36

P(36) ≈ 0

See attachment for the normal distributions

The summary of the graph is that, as the sample size increases the probability decreases

Read more about probability at:

https://brainly.com/question/11234923

#SPJ1

Answer:

Step-by-step explanation:

The domain is the set of x values, and the range is the set of y values.

The value of B1 shows a fall in demand as price rises by a unit. The point prediction is given as y = 306,560.8

The regression equation shows that y= 306,619-27.71.x

b1 = -27.71

The interpretation for b1 is that if the price of this good is increased by 1, then the demand for the good would fall by about 27.71.

The regression line equation is given as

y= 306,619-27.71.x

when x which is price is = 2.10

Then the value of y would be:

y = 306,619 - 27.71*2.10

y = 306,560.8

c. a 95% C1 for B1 is given as:

1.96 * 27.71.

= 54.31

Read more on regression lines equations here:

https://brainly.com/question/25987747

#SPJ1

Answer:

D -6, 15

Step-by-step explanation:

Because 3,11 is the middle, and 12,7 is the other end, you can do

12 - 3 = 9

3 - 9 = 6

then

11 - 7 = 4

11 + 4 = 15

so

6 is you x and 15 is your y

7.5 pounds of the $0.82 per lb candy must be used in the mixture.

First, let's define the variables:

We want to make 9 lb of mixture, then:

x + y = 9.

And the price of these 9 pounds must be $0.91, then we can write:

x*$0.82 + y*$1.36 = 9*$0.91 = $8.19

Then we have a system of equations:

x + y = 9.

x*$0.82 + y*$1.36 = $8.19

We can isolate y on the first equation so we get:

y = 9 - x

Now we can replace that on the other equation:

x*$0.82 + (9 - x)*$1.36 = $8.19

And now we can solve this for x.

x*($0.82 - $1.36) = $8.19 - 9*$1.36

-x*$0.54 = -$4.05

x = (4.05/0.54) = 7.5

So 7.5 pounds of the $0.82 per lb candy must be used in the mixture.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

(-32, 0)

Step-by-step explanation:

Answer:

(-32,0)

Step-by-step explanation:

The equation that models the curve of best fit for this data will be y = 1.4646·(1.818)ˣ.

Let b is the base and x is the power of the exponent function and a is the leading coefficient. The exponent is given as

y = a(b)ˣ

Consider the scatter plot.

Then the equation that models the curve of best fit for this data will be

At (1.2, 3), then we have

[tex]\rm 3 =ab^{1.2}[/tex] ..........1

At (4, 16), then we have

16 = ab⁴  ..........2

By solving the equations 1 and 2, we have

a = 1.4646 and b = 1.818

Then the equation will be

y = 1.4646·(1.818)ˣ

Then the graph is drawn.

More about the exponent link is given below.

https://brainly.com/question/5497425

#SPJ1

A slope also known as the gradient of a line is a number. The correct option is A, C, and D.

A slope is also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

For the given question,

This can be observed in the graph, as the slope of the graph before 4 pm is positive, it can be concluded that the temperature is increased until 4 pm.

This can be observed in the graph, as the slope of the graph after 4 pm is negative, it can be concluded that the temperature is decreasing after 4 pm.

This can be probed by calculating the slope of the line between the two points. Therefore, the slope between 8 am to 12 pm will be 1, while the slope from 12 pm to 4 pm will be equal to 4/3.

Hence, the correct option is A, C, and D.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ1

Answer:

ACD

Step-by-step explanation:

Answer:

5 is the answer

Step-by-step explanation:

because it is

The sequence shown is defined by a function that generates even numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

Sequences are sets of elements characterized by at least a rule. In this case, the sequence shown is characterized by a function that generates even numbers equal or greater than 10. The function behind the sequence is shown below:

s = 10 + 2 · (n - 1)     (1)

Where n is the element index.

The sequence shown is defined by a function that generates even numbers equal or greater than 10, defined by the function s = 10 + 2 · (n - 1).

To learn more on sequences: https://brainly.com/question/21961097

#SPJ1

L1 and L2 are parallel

so the interior alternate angles are equal

4y - 40 = 3y ( interior alternate angles)

4y - 40 = x + 15 ( vertically opposite angles).

solving the first equation, we get

4y - 3y = 40

y = 40°

putting values of y= 40° in eq. 2, we get

4y - 40= x + 15

4(40) - 40 = x + 15

160 -40 = x + 15

120 - 15 = x

105° = x

The number of hours that Bret can hike with 9 liters of water is 9.6 hours.

A straight line on the coordinate plane is represented by a linear function.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

As per the given,

Water needed = 0.75 liters per hour

For x number of hours = 0.75x liters

Reserved water = 1.8 liters.

Total water needs for x hours = (0.75x + 1.8)

The number of hours that can be hiked with 9 liters will be as,

(0.75x + 1.8) = 9

x = 9.6 hours.

Hence "The number of hours that Bret can hike with 9 liters of water is 9.6 hours".

For more about the linear function,

brainly.com/question/21107621

#SPJ2

The reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we can see in the graph there are two shapes are shown.

Figure M and Figure N

The sequence of transformations that will take figure M onto its congruent image, figure N is:

First, we need to draw a line that passes through (3, 0) and (0, -3)

The equation of the line is:

[tex]\rm y+3=\dfrac{\left(-3\right)}{-3}\left(x\right)[/tex]

y + 3 = x

y = x - 3

The reflection over the above line will take figure M onto its congruent image, figure N.

Thus, the reflection over the line y = x - 3 will take figure M onto its congruent image, figure N.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ1

Answer:

Step-by-step explanation:

2 ( x + 3 ) / 4 ( x + 1 )

2 (x + 3) ÷4 (x + 1)

2 (x + 3) ÷ 2×2(x+1)

cancel out the 2 in the numerator with the 2 in the denominator

(x + 3) ÷ 2(x + 1)

x+3 / 2(x+1)

The expression that is not rational is the first one:

[tex]f(x) = \frac{6x}{4}[/tex]

A rational expression is something of the form:

[tex]f(x) = \frac{q(x)}{p(x)}[/tex]

Such that q(x) can be any polynomial, and p(x) is a polynomial of at least degree 1.

This means that we need to have the variable "x" on the denominator.

Then is easy to recognize the expression that is not rational, is the one that does not have x on the denominator, which is the first one:

[tex]f(x) = \frac{6x}{4}[/tex]

If you want to learn more about rational expressions:

https://brainly.com/question/1851758

#SPJ1

Answer: B

Step-by-step explanation:

I took the test and this was the correct answer

Answer:

[tex] {(x + 5)}^{2} + {(y - 5)}^{2} = 9 [/tex]

Answer:

c

Step-by-step explanation:

answer is C . First last digits are forty you will have down 2 answers

Answer:

the answer to the question is C

Answer:

≈ 14.6%

Step-by-step explanation:

percentage increase is calculated as

[tex]\frac{increase}{original}[/tex] × 100%

increase = 2.75 - 2.40 = 0.35 , then

percentage increase = [tex]\frac{0.35}{2.40}[/tex] × 100% ≈ 14.6% ( to the nearest tenth )

Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line?a rise of 6 and a run of 8a rise of 8 and a run of 6a rise of 6 and a run of 5a rise of 5 and a run of 6

Step-by-step explanation:

[tex] \huge \tt \underline {\green{Answer}}[/tex]

If on March 8, 2017 , one U.S. dollar worth 66.79 Indian rupees

ie. $1 = Rs 66.79

$ 1 = 66.79 × 1

$ ? = 110.66

$ = New / old

$ = 110.66 / 66.79

$ = 1.65683485552

or

$1.66 = 110.66

Answer:

252-232=20-1=19

Step-by-step explanation:

the question said in between so you don't count the first and the last numbers

Answer:

Area = 3.36 in²

Step-by-step explanation:

[tex]Area\space\ of \space\ trapezium = \frac{a \space\ + \space\ b}{2} h[/tex] ,

where a and b are the two parallel sides, and h is the height.

[tex]Area = \frac{1.3 \space\ + \space\ 3.5}{2} (1.4)\\\\Area = 3.36 \space\ in^{2}[/tex]