Transcribed image text: Question 4 A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale! 34 68 136 272 thierronse

Among the following statements, The true statements are:

Option (1) a 95% confidence interval is a random interval that contains the true parameter 95% of the time, (2)the true parameter is a random value that has 95% chance of falling in the 95% confidence interval, (3) i perform a linear regression and get a 95% confidence interval from 0.4 to 0.5. there is a 95% probability that the true parameter is between 0.4 and 0.5, (4) the true parameter (unknown to me) is 0.

A 95% confidence interval is a random interval that contains the true parameter 95% of the time.

The true parameter is NOT a random value, and it is not correct to say that it has a 95% chance of falling in the 95% confidence interval.

If you perform a linear regression and get a 95% confidence interval from 0.4 to 0.5,

it means that if you repeated the same experiment many times, 95% of the resulting confidence intervals would contain the true parameter.

It is not correct to say that there is a 95% probability that the true parameter is between 0.4 and 0.5 because the true parameter is either in the interval or not.

If the true parameter is 0.5 and you sample data and construct a 95% confidence interval, the interval may or may not contain 0.5.

The 95% confidence interval is a statement about the probability of the interval containing the true parameter, not about the probability of the true parameter being any specific value.

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A. passenger train 36mph

B. freight train 18mph

What is meant by speed?

Speed is what it means. the speed at which an object's location changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Given that it just has a direction and no magnitude, speed is a scalar number.

Given that, A freight train departs from a train depot and let us consider it is travelling at an 'x' mph

and An hour later a passenger train departs the same train depot with a speed 'of x+18 mph.

After 2 hours the passenger train overtakes the freight train.

The total distance travelled by both trains when the passenger train overtakes the freight is equal.

Distance travelled by freight train = x*3

Distance travelled by passenger train = (x+18)*2

Now, 3x = 2x + 36

x = 18

and x + 18 = 36

Therefore, The speed of the passenger train and freight train are 36mph, and 18mph respectively

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Answer:

8/25

Step-by-step explanation:

5+8+12=25
8/25

Answer: 8/25

Step-by-step explanation:

Find probability with item/total.

total is 25

there are 8 chocolate chip cookies

8/25 is your answer

HOPE THIS HELPS _ MM

Answer:

$90

Step-by-step explanation:

180 - 50% or 180 x .50 = $90

The slope of segment EF and AB is same but the length of segment EF is half of the length of segment AB.

What is Line segment ?

An unmoving portion of a line is called a line segment. Two points serve as its ends. By the termination points, it is identified.

Let's assume the length of EF to be "x"

from the figure, we can clearly see that AB is made up of two segments which are of same length as EF.

So, we can say that AB = 2 times of the length of EF

i.e. AB = 2 x

Hence, By comparing, we conclude that AB's length is double of EF.

Now, if we look at slope,

Slope of EF = CE/CF

and, Slope of AB = BC/AC

But, we know that AC = 2 CF and BC = 2 CE

So, Slope of  EF = CE/CF

and, Slope of AB = 2 CE / 2 CF

                             = CE/CF.

Hence, Both segments have same slope direction.

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The area of a rectangle is 35x^2 + 12x  - 36

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

To determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given that the length of the rectangle is (7x − 6) and the width is (5x + 6).

Thus the width be (5x + 6).

So, the length = (7x − 6)

So,

Area of rectangle = (7x − 6) (5x + 6).

= 35x^2 + 42x -30x - 36

= 35x^2 + 12x  - 36

So, The area is 35x^2 + 12x  - 36

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The solution to the equation 2n + 5 = 6( n² - 5 ) is n = ( 1 - √(211 )) / 6 and n = ( 1 + √(211 )) / 6

Given the quadratic equation in the question;

2n + 5 = 6( n² - 5 )

First we simplify the given equation;

2n + 5 = 6( n² - 5 )

2n + 5 = 6n² - 30

6n² - 2n - 5 - 30 = 0

6n² - 2n - 35 = 0

To solve for n, we use the quadratic formula.

n = (-b±√(b² - 4ac)) / (2a)

Compare 6n² - 2n - 35 = 0 to the quadratic equation in its standard form an² + bn + c = 0.

Plug the values into the quadratic formula

n = (-b±√(b² - 4ac)) / (2a)

n = ( -(-2) ±√( (-2)² - 4 × 6 × -35 )) / (2 × 6 ))

n = ( 2 ±√( 4 + 840 )) / ( 12 )

n = ( 2 ±√( 844 )) / ( 12 )

n = ( 2 ±2√(211 )) / ( 12 )

n = ( 1 ± √(211 )) / 6

n = ( 1 - √(211 )) / 6 or n = ( 1 + √(211 )) / 6

Therefore, the values of n are ( 1 - √(211 )) / 6 and ( 1 + √(211 )) / 6.

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Answer: x =1, y = -1

Step-by-step explanation:

-10x+4y=-14

7x+5y=2

Let's eliminate y.

5(-10x+4y= -14)

4(7x + 5y=2)

[ I multiplied the first equation by the coefficient of y in the second equation and did the same in the second equation].

=> -50x+20y =-70

     28x+20y = 8

Notice how the coefficients of y are the same. We can subtract the 2 equations to eliminate y.

Thus,

-78x = -78 ( y has been eliminated)

∴ x=-78/-78 =1.

Put the value of x in any equation to find y.

7x + 5y =2

=> 7(1) + 5y =2

7+5y=2

5y = 2-7

5y = -5

y = -1.

Hope this helps :)

Answer:

The table that represents a linear function is:

x 0 1 2 3 4

y −2 1 0 1 −2

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation: The linear function is a function that has a straight line when plotted on a

graph.

The correct option;

The table of ordered pairs that represent a linear function is the option; x/y  -8/-7  0/0  8/7  16/14

Reasons why the above selection is correct:

Given;

The given data can be presented as follows;

x/y -8/22 0/1 8/22 16/102

x/y -8/-7 0/1 8/9 8/2

x/y -8/-7 0/0 8/7 16/14

x/y -8/-7 0/1 8/5 16/4

Representation of the options in tabular form;

In a tabular format, we have;

Characteristic of linear function;

In a linear function, when the x-values have a constant rate of increase the

the first difference in the y-values is constant.

Selection of the table representing a linear function;

The option that has a constant first difference along with a continuous rate of

increase in the x-value is the option with the following table;

, which is the option x/y -8/-7 0/0 8/7 16/14

Answer:

x = 3/85

Step-by-step explanation:

log2 (6) - log2 (5x) = log2 ( 34)

We can use the properties of logs.

First subtract log2 (6) from each side.

log2 (6) - log2 (5x) - log2 (6) = log2 ( 34)-log2 (6)

- log2 (5x)  = log2 ( 34)-log2 (6)

Now we know that log a - log b = log a/b

- log2 (5x)  = log2 ( 34/6)

- log2 (5x)  = log2 ( 17/3)

Multiply each side by -1

 log2 (5x)  = -log2 ( 17/3)

We know that  -log (a/b) = log ( b/a)

 log2 (5x)  = log2 ( 3/17)

The terms inside the logs must be the same

5x = 3/17

Divide each side by 5

5x/5 = 3/17 * 1/5

x = 3/85

The temperature change for Monday is -30 degrees Fahrenheit,

The completed table is: Monday: -30, Tuesday: +7, Wednesday: +12, Thursday: +2, Friday: -6, to make the total change from Monday to Saturday equal to -15 degrees Fahrenheit.

To complete the table, we need to find the temperature change for Monday that makes the total change from Monday to Saturday equal to -15 degrees Fahrenheit.

Let x be the temperature change for Monday. Then, we can set up the equation:

x + 7 + 12 + 2 - 6 = -15

Simplifying and solving for x, we get:

x = -30

Therefore,

The temperature change for Monday is -30 degrees Fahrenheit, and the completed table is:

Monday: -30

Tuesday: +7

Wednesday: +12

Thursday: +2

Friday: -6

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The factor of the algebraic expression  is 13r²(2rs + 4r³ - 3s⁴).

option C is the correct answer

The factor of the algebraic expression given as

26r³s + 52r^(5) - 39r²s⁴

can be determined by finding the highest common factor and factorize it out.

The highest common factor of the letters is r²

Factors of 26 = 1, 2, 13, 26

Factors of 39 = 1, 3, 13, 39

Factors of 52 = 1, 2, 4, 13, 26, 52

The highest common factor for the 3 numbers is 13.

Thus, in total, the highest common factor for the algebraic expression is 13r².

Finally, we have;

13r²(2rs + 4r³ - 3s⁴)

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The complete question is below:

Factor  26r³s + 52r^(5) - 39r²s⁴

A. 13(2r³s + 475-37²s⁴)

B. 37²s(27+ 47³-38³)

C.  13r²(2rs + 4r³ – 3s⁴)

D. 13r²(26r³s + 527-5-39²4)

Answer:

2x(5x+7)

Step-by-step explanation:

[tex]x^2+2x^2+14x+7x^2\\=10x^2+14x\\=2x(5x+7)[/tex]

Answer:

a) 8:32 am

b) 5 occasions

Check the picture below.

so the polygon is really just a 5x7 rectangle with a triangle that has a base of 7 units(vertically) and a height of 2 units.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{rectangle}{(5)(7)}~~ + ~~\stackrel{triangle}{\cfrac{1}{2}(7)(2)}}\implies 35~~ + ~~7\implies \text{\LARGE 42}~units^2[/tex]

Answer:

The required measure of Street K between Street C and D is 337.5 ft.

Step-by-step explanation:

have a nice day.

The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.

What is equation of straight line ?

Equation of straight line can be as follows, y = mx +b

where m is a slope of line.

Given,

To find , The cost, C, in dollars for advertising on a social networking website is proportional to the number n] of clicks on the advertisement.

When a business is charged $108.50 for 310 clicks on its advertisements.

The cost, C, and number of clicks, n, are related by the equation

C = k * n, where k is the constant of proportionality.

From the given information, we know that C = $108.50 when n = 310. We can use this information to find the value of k:

$108.50 = k * 310

Solving for k:

k = $108.50 / 310

k = $0.35

So, the equation for the relationship between cost and clicks is:

C = $0.35 * n

Therefore, The slope of this line is 0.35, which represents the amount that the cost increases for each additional click.

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The volume of the rectangular prism will be 270 cm³. The correct option is B.

The volume of the rectangular prism is defined as the space in three-dimension covered by the rectangular prism having the sides Length, Width, and Height.

The volume of the rectangular prism will be the multiplication of the three parameters which are Length, Width, and Height of the prism.

The volume will be calculated by the formula:-

Volume = L x W x H
Volume = 2 x 9 x 15

Volume = 270 cubic cm

The volume of the rectangular prism will be 270 cm³.

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The complete question is given below and the missing image is attached with the answer below.

A ringtoss toy is composed of a rectangular prism on top of a cylinder.

The rectangular prism is completely filled with water.

The dimensions of the rectangular prism are shown in the diagram.

What is the volume of the rectangular prism in cubic centimeters?

A) 26 cm3

B) 270 cm3

C) 165 cm3

D) 348 cm3

Answer:

-1/3

Step-by-step explanation:

Yhe equation 6x^2 + x - 2 has two roots, alpha and beta, that can be found by using the quadratic formula or by factoring.

The sum of the roots (alpha and beta) can be found by using the formula:

-b/a

where a = 6, b = 1 and c = -2

-1/6

The product of the roots (alpha and beta) can be found by using the formula:

c/a

where a = 6, b = 1 and c = -2

-2/6 = -1/3

So, the sum of the roots is -1/6 and the product of the roots is -1/3.

In total they knocked down 104 pins.

I got this by multiplying 26 by 3, which equals 78, then adding 26 to 78 to get the final answer, 104.

Hope this helps!

The probability that there are 30 or fewer successes in 112 trials with a probability of 0.42 of success is  0.874763 rounding to 6 decimaiplaces.

To use the Excel spreadsheet programme to calculate the likelihood that 30 or fewer successes occur in 112 trials with a success probability of 0.42, follow these steps:

In Excel, create a new spreadsheet with the first column labelled "Number of Successes" and the second column labelled "Probability."

Enter "0" in the first row of the "Number of Successes" column.

Enter "1" in the second row of the "Number of Successes" column.

Continue to input numbers in the "Number of Successes" column in ascending order until you reach 30.

Enter the following formula in the field next to the "0" in the "Probability" column: =BINOM.DIST (0,112,0.42,TRUE)

Enter the following formula: =SUM (B1:B31)

The result in the cell where you input the formula in step 8 will be the chance of 30 or fewer successes in 112 trials with a success rate of 0.42.

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The cost of each order of french Fries is $1.75.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Wendell purchased a hot dog and 3 orders of French fries for $6.00.

If the hot dog cost $2.25.

Then the cost of Hot dog

= 6 - 2.25

= 3.75

and, the cost of each order of French Fries

= 3.75 / 3

= $1.25

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Answer:

A formula can help solve problems as it gives the person a step-by-step mini key or guide when needing to actually answer a mathematical or scientific equation or question.

The correct drop down menus from the graph are:

Pool A is filling up slower than Pool B because the slope of the graph of Pool A is less than that of the graph for Pool B.

The slope of the graph tells you the unit rate in gallons per minute. Its means the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.

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Answer:

all of these equations except 4n = 48

Step-by-step explanation:

your equations are

52 = 8n+4

4(2n+1) = 52

4 = 52-8n

4n = 48

n = 6

let's solve these equations!

52 = 8n + 4

48 = 8n

n = 6

4(2n+1) = 52

8n + 4 = 52

8n = 48

n = 6

4 = 52-8n

-48 = -8n

n=6

4n = 48

n = 12

all of these equations simplify to n = 6 except for 4n = 48, so they're all equivalent