wat is x in 1/3x - 11 = 5

The coefficient of determination, given the total variation and the explained variation would be 0.898.

R-squared, or the coefficient of determination, represents the proportion of variation within a response variable that can be explained by the regression model. This calculation is achieved through dividing the explained variation by the total variation.

We are given the explained variation as 18. 592. We are also given the total variation as 20. 711.

The coefficient of determination is:

= explained variation / total variation

= 18. 592 / 20.711

= 0. 898

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Full question is:

A regression equation is obtained for a collection of paired data. It is found that the total variation is 20.711, the explained variation is 18.592, and the unexplained variation is 2.119.

Find the coefficient of determination. Round to three decimal place

Answer:

3 11/15

Step-by-step explanation:

Answer:

3 11/15

Step-by-step explanation:

the 1/3 and 2/5 cannot be added properly, so we must make the denominator the same for both sides. So we make it fifteen.

The new equation is: 1 5/15 + 2 6/15.

1 5/15 + 2 6/15 = 3 11/15.

hope this helps :)

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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Answer:

0.42

Step-by-step explanation:

To solve the problem, we need to add the probability of picking a club to the probability of picking a face card, and then subtract the probability of picking a club that is also a face card (because we would have counted it twice).

There are 13 clubs in a standard deck, so the probability of picking a club is 13/52 or 0.25.

There are 12 face cards (4 jacks, 4 queens, and 4 kings) in a standard deck, so the probability of picking a face card is 12/52 or 0.23.

However, there are 3 cards that are both clubs and face cards (the jack of clubs, queen of clubs, and king of clubs), so we need to subtract the probability of picking one of those cards. There are 3 of them out of 52 total cards, so the probability of picking a club that is also a face card is 3/52 or 0.06.

Therefore, the probability of picking a club OR a face card is:

0.25 + 0.23 - 0.06 = 0.42 (rounded to two decimal places).

So the answer is 0.42.

The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²

The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.

Formula of force,

F = ma

Given that,

A man pulled a cart filled with stones that had a total mass of 60 kg

He increased the amount of force used to pull the cart from 60 N to 90 N

New acceleration of cart = ?

F  = ma

Old acceleration,

60  = 60a

a   =  1 m/s²

New acceleration,

90 = 60a

a   = 90/60

a   =  3/2

a   =  1.5 m/s²

Hence, the new acceleration is 1.5 m/s²

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In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

To determine the percentage change within the number of wolves each year, we ought to look at the development rate of the work w(x) = 14 * 1.08^x.

The development rate in this case is given by the example of 1.08, which speaks to the figure by which the number of wolves increments each year. In this work, the coefficient 1.08 speaks to a development rate of 8% per year.

To calculate the percentage change, we subtract 1 from the growth rate and increase by 100 to change over it to a rate:

Percentage change = (1.08 - 1) * 100 = 0.08 * 100 = 8%.

In this manner, the number of wolves changes by around 8 percentage 8% each year based on the given work.

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how that the difference between the 7th square number and the 4th square number is a multiple of 3 step by step and Answer 3

Answer:

4

Step-by-step explanation:

\( \because \: f(4) = 2 \\ \therefore \: {f}^{ - 1} (f(4)) = {f}^{ - 1} (2) \\ \therefore \: 4 = {f}^{ - 1} (2) \\ \huge \red{ \boxed{{f}^{ - 1} (2) = 4}}\)

Answer:

4 four

Step-by-step explanation:

hope it helps you

Answer:

Three more than the quotient of nine and a number cubed, decreased by two; 3 + StartFraction 9 Over n cubed EndFraction minus 2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

i took the review

Answer:

  y = -3

Step-by-step explanation:

You want the equation of a line with slope 0 through the point (-2, -3).

The point-slope form equation for a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Adding k to both sides gives the "y =" form ...

  y = m(x -h) +k

When m=0 and (h, k) = (-2, -3), this becomes ...

  y = 0(x -(-2)) + (-3)

  y = -3 . . . . . . simplified

__

Additional comment

Anything times 0 is 0. So, the product 0(x +2) is 0.

Anything added to 0 is unchanged. So, the sum y = 0 -3 is y = -3.

When the slope is zero we get y= -3.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

As, the Point-slope form

The point-slope form equation for a line with slope m through point (h, k) is

y = mx + b

When m=0 and (h, k) = (-2, -3)

y = 0(x -(-2)) + (-3)

y = -3

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Answer:

so so so so srry i cant see that pic

Step-by-step explanation:

Answer:

\( 2^{2x + 2} = 2^{4x - 4} \)

Step-by-step explanation:

\( 4^{x + 1} = 16^{x - 1} \)

\( 2^{2(x + 1)} = 2^{4(x - 1)} \)

\( 2^{2x + 2} = 2^{4x - 4} \)

\(\implies {\blue {\boxed {\boxed {\purple {\sf { \: \: 1 \frac{1}{15} \:(or) \: 1.0667}}}}}}\)

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \frac{4}{5} \div \frac{3}{4} \)

= \( \: \frac{4}{5} \times \frac{4}{3} \)

= \( \: \frac{4 \times 4}{5 \times 3} \)

= \( \: \frac{16}{15} \)

= \( \: 1 \frac{1}{15} \)

( OR )

= \( \: 1.0667\)

\(\bold{ \green{ \star{ \orange{Mystique35\:♨}}}}⋆\)

Step-by-step explanation:

\( \frac{4}{5} \div \frac{3}{4} \\ = \frac{4}{5} \times \frac{4}{3} \\ = \frac{16}{15} \\ thank \: you\)

Procedures that help organize or describe data collected from a sample or a population are called Descriptive statistics.

Hence, option D is correct answer.

Data can be meaningfully and effectively described or summarised using descriptive statistics. For instance, knowing that everyone in our scenario wore blue shoes wouldn't be helpful. It would be helpful to know how evenly distributed their anxiety scores were. Measures of central tendency and measurements of variability make up descriptive statistics (spread).

The mean, median, and mode are measurements of central tendency, while the standard deviation, variance, minimum and maximum variables, kurtosis, and skewness are measures of variability.

In order to emphasise potential correlations between variables and to give basic information about the variables in a dataset, descriptive statistics can be helpful for both of these aims. The three most used descriptive statistics, which represent the following three variables: graphical/illustrative techniques.

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Answer:

4.24 inches

Step-by-step explanation:

212/50

Answer:

4.24 inches

Step-by-step explanation:

To get the answer you divide 212 miles by 50 miles.

Answer:

4/3/2/7-8= -7

Step-by-step explanation:

======================================================

Explanation:

The five number summary is the set of these items, in this exact order

So with the five number summary 4.6, 14.3, 19.7, 26.1, 31.2, we see that

Q1 = 14.3 and Q3 = 26.1

Subtracting these two values gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 26.1 - 14.3

IQR = 11.8

Answer:

C. 101 3/4; $1017.50

Step-by-step explanation:

Correct on E2020!

Answer:

Millions

Step-by-step explanation:

2 is in the millions place

The Place Value of  digit 2 = 2000000 , 2 million.

The place value is the position of each digit in a number. The place value of digits is determined as ones, tens, hundreds, thousands,ten-thousands and so on, based on their position in the number.

Each digit has a value depending on its place called the place value of the digit.

Place Value of a digit = (face value of the digit) × (value of the place).

6 is in ten place. Hence, the place value of 6 in 64 = 6 x 10 = 60.

The digit 2 in  302 648 719

Place Value of  digit 2  = (2) × (1000000)

Place Value of  digit 2 = 2000000

Therefore Place Value of  digit 2 = 2000000 , 2 million .

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The ratio of tablespoons of raspberries to tablespoons of sugar should be considered as the 8 to 6.

What is ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Calculation of the ratio:

Since Macy's aunt makes raspberry jam using 6 tablespoons of sugar and 8 tablespoons of raspberries.

So here the ration be like

= 8 raspberries tablespoons to 6 tablespoons of sugar

= 8 to 6

hence, the second option is correct.

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The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

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Answer:

Final answer -

\(number \: of \: 50 \: paise \: coins \: in \: the \: bag = 4x \\ \dashrightarrow{4 \times 12 = 48 \: coins}\)

hope helpful :D

The number of 50 paise coins that we have in the bag with the respective other coins is; 48 coins

Since the respective coins are in ratio of 1:2:4. Then, we can deduce the following;

Let number of 2 rupees coins in the bag = 1x

Let number of 1 rupees coins in the bag = 2x

Let number of 50 paise coins in the bag = 4x

Total amount of money = 72 rupees. Thus;

(2 * 1x) + (1 * 2x) + (0.5 * 4x) = 72

2x + 2x + 2x = 72

6x = 72

x = 72/6

x = 12

Thus, number of 50 paise coins = 4x = 4 * 12 = 48 coins

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a. The stand form is f(x) = x^3 - 13x - 12

degree = 3

constant term = - 12

b. The stand form is g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

Given data

f(x) = (x + 1)(x+3)(x-4)

g(x) = 3(x + 1)(x+3)(x-4)

for f(x) = (x + 1)(x+3)(x-4) we have

f(x) = (x + 1)(x+3)(x-4)

f(x) = ( x + 1 ) ( x^2 - 4x + 3x - 12 )

f(x) = (x + 1) ( x^2 - x - 12 )

f(x) =  x^3 - x^2  - 12x +  x^2 - x - 12

f(x) = x^3 - 13x - 12

degree = 3

constant term = -12

g(x) = 3(x + 1)(x+3)(x-4)

g(x) = 3(x + 1) ( x^2 - 4x + 3x - 12 )

g(x) = 3(x + 1) ( x^2 - x - 12 )

g(x) = 3 (  x^3 - x^2  - 12x +  x^2 - x - 12 )

g(x) = 3 ( x^3 - 13x - 12 )

g(x) = 3 x^3 - 39x - 36

degree = 3

constant term = - 36

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The correct statement regarding the graph of the function f(x) = (x + 2)(x + 6) is given by:

The function is negative for all real values of x where -6 < x < -2.

The graph of the function f(x) = (x + 2)(x + 6) is missing, and is given at the end of the answer.

We have to look at the graph of the function relative to the x-axis, as follows:

Hence, for function f(x) = (x + 2)(x + 6), we have that:

Hence the correct statement for the signal of the function is given as follows:

The function is negative for all real values of x where -6 < x < -2.

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The journal entries to record (a) the payroll and (b) the employer's payroll tax expense for the month are as follows:

a) The payroll:

Debit Sales salaries $125,000

Debit Office salaries 35,000

Credit:

 Federal income tax withholding payable 32,300

 Medical insurance withholding payable 7,370

 Social security tax withholding payable 10,200

 Medicare tax withholding payable 2,550

 Cash $107,580

b) The employer's payroll tax expense:

Debit Payroll Tax Expense $975

Credit:

 Federal Unemployment Tax Payable $200

 State Unemployment Tax Payable $775

SUTA = 3.1% of $25,000 = $775

FUTA = 0.8% of $25,000 = $200

Sales salaries $125,000

Federal income tax withheld 32,300

Office salaries 35,000

Medical insurance withheld 7,370

Social security tax withheld 10,200

Medicare tax withheld 2,550

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y equals negative two thirds times x minus 2 is the equation of graph.

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

The given two points are 3 comma 0 and 0 comma negative 2.

i.e (3,0)(0,-2)1)

The formula for slope is (y₂-y₁)/(x₂-x₁)

slope = (-2 - 0) / (0 - 3)

= -2 / -3

The negative negative are multiplied we get positive

= 2/3

The standard form of a line is y = mx + b, where m is slope of line and b is y intercept.

slope(m) = 2/3

We can use either of points (0,-2)...x = 0 and y = -2

now sub and find b, then y intercept

-2 = 2/3(0) + b

-2 = b

so  equation is : y = 2/3x - 2

Hence y equals negative two thirds times x minus 2 is the equation of graph.

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The inequality that represents the number of each type of calculator she can buy will be 25x + 65y ≤ 800

Given that teacher needs to purchase some scientific calculators for $25 each and some graphing calculators for $65 each.

Consider that x equal the number of scientific calculators and y equal the number of graphing calculators she buys She can only spend up to $800 for the calculators.

The inequality that represents the situation becomes as;

25x + 65y ≤ 800

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Answer:

y = -1 - 2/1x

Step-by-step explanation:

Glad to help! :)

Simplify 2y+3y2+6y+7y2 ?

combine the like terms

2y+3y2+6y+7y2 = (2y + 6y) + (3y2 + 7y2) = 8y + 10y2