a truck is carrying 9 cars weighing an average of 4,500 pounds each. what is the total weight in tons of the cars on the truck.
STEP-BY-STEP PLS!!!!!!

The backward elimination of stepwise regression sometimes misses the best model for a given number of predictors. The Option 3.

The backward elimination is a stepwise regression technique that starts with a model including all predictors and iteratively removes variables that are found to be insignificant. While it is a useful method for variable selection, it does have limitations.

One drawbacks is that it can sometimes miss the best model for a given number of predictors. This is because backward elimination relies on statistical criteria to determine the significance of variables and their removal from the model.

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Answer:

Step-by-step explanation:

Find the equation of the line first

We see the y-intercept is 3 at the point (0, 3). Take one more point to find the slope, the point (1, 5).

The slope is:

The line is:

We need to find the value of x when y = 97:

Answer:

16 cm

Hope you could get an idea from here.

Doubt clarification - use comment section.

Step-by-step explanation:

Let L = length and W = Width

The problem says L = 2W

and

Area = LW = 21

Substitute

2W2 = 21

W2 = 10.5

W = 3.24

L = 6.48

9515 1404 393

Answer:

  1 + x

Step-by-step explanation:

A sum is found by adding terms. Here, you are told the terms to add are 1 and x. We use the plus sign (+) to signify addition. Your sum is ...

  1 + x

The graph of the solutions of the absolute value equation can be seen on the image at the end.

Here we have the absolute value equation:

|2x - 1| = 3

We can "break" that absolute value equation into two simpler ones, we will get:

(2x - 1) = 3

(2x - 1) = -3

Now we can solve these two, we will get for the first one.

2x - 1 = 3

2x = 3 + 1

x = 4/2

x = 2

The other gives.

2x - 1 = -3

2x = -3 + 1

2x = -2

x = -2/2 = -1

The solutions are 2 and -1, then the graph is the one below.

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The domain of (boa)(x) is [1, ∞].

In Mathematics and Geometry, a domain is the set of all real numbers (x-values) for which a particular equation or function is defined.

Based on the information provided above, we have the following functions:

a(x) = 3x+1

\(b(x) = \sqrt{x-4}\)

Therefore, the composite function (boa)(x) is given by;

\(b(x) = \sqrt{3x+1 -4}\\\\b(x) = \sqrt{3x-3}\)

By critically observing the graph shown in the image attached below, we can logically deduce the following domain:

Domain = [1, ∞] or {x|x ≥ 1}.

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Answer:

There are two possible answers

There are two answers because there are 2 points given. Both equations convert to the slope intercept form equation y = (3/8)x + 29/8

Step-by-step explanation:

The answer is - 17

here, we have to apply BODMAS rule

given ,- 22 + (10) = 15

            = - 22 - 10 + 15

           = -32 + 15

           = - 17

BODMAS is an acronym for the sequence of operations to be performed while simplifying the mathematical expressions.

B=Brackets

O=Off

D=Division

M=Multiplication

A=Addition

S=Subtraction

The four basic Mathematical rules are addition, subtraction, multiplication, and division.

Basic math skills are those that involve making calculations of amounts, sizes or other measurements. Core concepts like addition, subtraction, multiplication and division provide a foundation for learning and using more advanced math concepts.

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The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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Answer:

18.33

Step-by-step explanation:

multiply 55×2 you get 110

then since it is +13-7 + is bigger than - ( positive is greater than negative)

it will be 6

so 110 ÷6 = 18.3333333 you put it into 4digits

The answer is 18.33

Hope it will help

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

The mean for the data items in the given frequency distribution is 4.152

To find the mean of the data items in the frequency distribution, we need to use the formula:

Mean = (Sum of (xi * fi)) / (Sum of fi)

where xi is the midpoint of the class interval and fi is the corresponding frequency.

So, we have

Mean = (3 + 12 + 15 + 20 + 20 + 30 + 21 + 16)/(3 + 6 + 5 + 5 + 4 + 5 + 3 + 2)

Evaluate

Mean = 4.152

Hence, the mean is 4.152

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Answer:

c

Step-by-step explanation:

i took the flvs exam

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

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If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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Answer:

2/3 cup

Step-by-step explanation:

2:3

2/3:1

2/3=0/66 repeating

simplified to a fraction its 2/3

The solution to the system of equations using elimination method is:

x = 5 and y = 3

To solve the system of equations by elimination method, we need to eliminate one of the variables by adding or subtracting the two equations.

In this case, we can eliminate y by adding the two equations together:

3x - y + 2x + y = 12 + 13

Simplifying the left side and the right side, we get:

5x = 25

Dividing both sides by 5, we get:

x = 5

Now that we know x, we can substitute it into one of the original equations to find y. Let's use the second equation:

2x + y = 13

2(5) + y = 13

Simplifying, we get:

10 + y = 13

Subtracting 10 from both sides, we get:

y = 3

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The complete question is below:

solve by elimination method

3x - y = 12

2x + y = 13

Answer:

x = 4

Step-by-step explanation:

if a line is parallel to a side of a triangle and it intersects the other two sides then id divides those sides proportionally.

DE is such a line , then

\(\frac{BD}{AD}\) = \(\frac{BE}{EC}\)  ( substitute values )

\(\frac{x+2}{x}\) = \(\frac{3}{2}\) ( cross- multiply )

3x = 2(x + 2)

3x = 2x + 4 ( subtract 2x from both sides )

x = 4

Therefore, there are approximately 889 faculty members at the college.

Ratio is a mathematical concept that expresses the relationship between two or more quantities or values. It is a way to compare the size of two numbers, by dividing one number by the other. The result of this division is a numerical expression of the relative size of the two numbers.

Ratios are often expressed as a fraction or a colon (:) between the two numbers. For example, if there are 4 red balls and 6 blue balls in a bag, the ratio of red balls to blue balls can be expressed as 4/6 or 4:6. This means that for every 4 red balls in the bag, there are 6 blue balls.

Ratios are commonly used in various fields, such as finance, statistics, and science, to compare different values and make meaningful interpretations.

To solve this problem, we need to use the ratio between faculty members and students, which is given as 1:18. This means that for every one faculty member, there are 18 students.

If there are 16000 students in the college, we can find the number of faculty members by dividing the number of students by the ratio of students to faculty members:

Number of faculty members = 16000 / 18

This gives us 888.888, but since we are asked to round to the nearest whole number, we should round up to 889. Therefore, there are approximately 889 faculty members at the college.

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We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

2^5 < 6^2 < 3^4 < 5^3

Step-by-step explanation:

Solve each one:

6^2 = 6*6=36

3^4 = 3*3 =9*3 =27*3 = 81

2^5 = 2*2 = 4*2= 8*2 = 16*2 = 32

5^3 = 5*5 = 25*5 = 125

32 < 36 < 81 < 125

So:

2^5 < 6^2 < 3^4 < 5^3

From the set a, b, c, d, e, f, g, we can derive 15 3-element subsets having the letter "a".

We can select 2 more elements from the set's remaining 6 components to create a 3-element subgroup that includes the letter "a": a, b, c, d, e, f, g.

The binomial coefficient indicates the number of possible methods to select 2 elements from a set of 6:

C(6,2) = 6! / (2! * (6-2)!) = 15

The positive numbers that appear as coefficients in the binomial theorem are known as binomial coefficients in mathematics. A binomial coefficient is frequently written as ( ) and is indexed by the pair of numbers n k 0.displaystyle "tbinom" nk. It is the multiplicative formula that can be used to calculate the coefficient of the xk component in the polynomial expansion of the binomial power (1 + x)n.

Thus, from the set a, b, c, d, e, f, g, we can derive 15 3-element subsets having the letter "a".

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Answer:

m∡1 = 95°

m∡2 = 85°

m∡3 = 95°

Step-by-step explanation:

m∡1 + 85 = 180;   m∡1 = 95°

m∡2 = 85° because it is vertical and congruent to the angle measured 85°

m∡3 = m∡1 = 95° because they are vertical and congruent

Answer:

1 = 95, 2 = 85, 3 = 95

Step-by-step explanation:

2 is an opposite angle of 85 degrees so 2 is 85 degrees

a line is always 180 degrees:

1 = 180 - 85 = 95 degrees

1 is an opposite angle of 3 so 3 is also 95 degrees

Answer:

the value of the expression 14 1/3 - 6 5/8 is 185/24.

Step-by-step explanation:

To solve this problem, you can convert both mixed numbers to improper fractions, then subtract the fractions and simplify the result. Here are the steps:

1. Convert 14 1/3 to an improper fraction:

14 1/3 = (14 x 3 + 1) / 3 = 43 / 3

2. Convert 6 5/8 to an improper fraction:

6 5/8 = (6 x 8 + 5) / 8 = 53 / 8

3. Subtract the fractions:

43 / 3 - 53 / 8 = (43 x 8 - 53 x 3) / (3 x 8) = (344 - 159) / 24 = 185 / 24

So the value of the expression 14 1/3 - 6 5/8 is 185/24.

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

We know two points on the line

(-1,2) and (4,5)

So we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( 5-2)/(4 - -1)

   (5-2)/(4+1)

   3/5

Answer:

334 dozen cookies.

Step-by-step explanation:

1000=3x

Let x = dozen of cookies sold

3x=1000

x=1000/3

x=333.33

Since 333.33 isn't a whole number, we need to round it up to 334 since rounding it down to 333 won't raise 1000 dollars.

By the property of parallelograms that diagonals are equal in length and they bisect each other we have determined the values of x and y.

A basic quadrilateral with two sets of parallel sides is known as a parallelogram. In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.

The area of a parallelogram is base multiples by height as two triangles form a parallelogram.

We know the diagonals of a parallelogram are equal and they bisect each other, From this property, we can write,

OA = OC.

x + 23 = 31.

x = 31 - 23.

x = 8 units.

XZ = 2(OX).

26 = 2(- 44 + x).

26 = - 88 + 2x.

2x = 114.

x = 57 units.

OL = OJ

8x - 56 = 24.

8x = 80.

x = 10.

OM = OK.

36 = 4y + 20.

4y = 16.

y = 4.

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The required coefficients are:4, -1, -11, and 7.

Coefficients refer to the numerical values that are assigned to variables in mathematical equations, models, or formulas. They indicate the relative importance or contribution of each variable in the equation. Coefficients are used to determine the relationship between variables and are often estimated through statistical analysis or optimization techniques.

In algebraic equations, coefficients are the numbers multiplied by variables. For example, in the equation 2x + 3y = 5, the coefficients are 2 and 3.

In statistical models, such as linear regression, coefficients represent the slopes or weights assigned to the predictor variables. These coefficients indicate how much the response variable is expected to change for a unit change in the corresponding predictor variable, assuming all other variables are held constant.

We need to consider the polynomial:

(4mn^2n - 2mn + 6) + (6mn^2 - 1) - (mn^2 - 2 + 9mn)

To combine the like terms and find the coefficients of each term, we can write the polynomial in the following form:

4mn^2n - 2mn + 6 + 6mn^2 - 1 - mn^2 + 2 - 9mn

Taking the coefficients of the terms with "mn^2"4mn^2n - mn^2

Taking the coefficients of the terms with "mn"-2mn - 9mn = -11mn

Taking the coefficients of the constant terms6 + 2 - 1 = 7

Therefore, the required coefficients are:4, -1, -11, and 7.

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