What’s 7 1/3 - 5 1/6 ?
Pls hurry !!!

Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

What is milk fat?

The percentage of butterfat in milk, as measured by weight, is known as the fat content of milk. To create a range of goods, the fat content, notably of cow's milk, is altered. In order to facilitate instant identification, the milk container is typically marked with the amount of fat present.

Milk is important for the growth of the body. It plays for the growth and development of the body. 100 grams of milk fat has 3.25 % milk fat in it.

100 grams = 3.25 % of milk fat.

10 grams = x

x = 10 * 3.25 / 100

=0.325  %

Milk contains lots of proteins and minerals. It is essential for the growth of the body. It also contains important minerals such as calcium and proteins.

Therefore, Whole milk has 3.25 % milk fat in it. That means 100 grams has 3.25 % of milk fat. so,10 grams of milk has 0.325 milk fat in it.

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The probability that the product of the two two-digit numbers is less than 200 is given as follows:

43/8010.

A probability is calculated as the division of the number of desired outcomes in the context of the experiment by the number of total outcomes.

There are 90 different two-digit numbers, hence the number of total outcomes for the product is of:

90 x 89 = 8010.

(the numbers have to be different)

The desired outcomes which result in a product of less than 200 are of given as follows:

Hence the number of desired outcomes is given as follows:

9 + 8 + 6 + 5 + 4 + 4 + 3 + 2 + 2 = 43.

Meaning that the probability is of:

43/8010.

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The monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

The given table is:

                          Df          SS                     MS                F

Regression          1          555,420          555,420          7.64

Residual              27       1,962,873         72,699

Total                    28        2,518,293

                    Coefficients         Standard Error         t-stat        p-value

Intercept          784.92                322.25                    2.44           0.02

Service             9.19                     3.20                      2.87           0.01

We have to find the monthly salary of an employee that has worked for 48 months at the bank.

Salary = β(0)+ β(1) Service

y = β(0)+ β(1)x

where, Service = x(in months)

Service = y(in $)

From the table

y = 784.92+9.19x

If x=48 months

Then, y = 784.92+9.19(48)

y = 784.92+441.12

y = 1226.04

Hence, the monthly salary of an employee that has worked for 48 months at the bank is $1226.04. So the option d is correct.

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The value of y will be;

⇒ y = 100

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

y varies directly with x and y=20 when x=4,

Now,

Since, y varies directly with x.

Hence, We get;

⇒ y = kx

Where, k is constant of proportionality.

Here, y=20 when x=4,

So, We get;

⇒ y = kx

⇒ 20 = 4k

⇒ k = 5

Thus, For x = 20, The value of y will be;

⇒ y = kx

⇒ y = 5 × 20

⇒ y = 100

Therefore, We get;

⇒ y = 100

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If in an analysis of variance problem involving 3 treatments and 10 observations per treatment, S S E = 399.6. The M S E for this situation is  C. 14.8.

We would be making use of this formula to find or determine the MSE which is the variance within the sample.

MSE = S S E / r (c-1)

Where:

MSE represent variance within the sample = ?

SSE represent sum of the squares of error = 399.6

r represent 3 treatment

c represent observation per treatment = 10

Let plug in the formula so as to know the variance within the sample (MSE )

Sample variance ( MSE ) = 399.6 /3 (10 - 1 )

Sample variance ( MSE ) = 399.6 / 3 (9)

Sample variance ( MSE ) = 399.6 / 27

Sample variance ( MSE ) = 14.8

Therefore  we can conclude that the correct option is C which is 14.8.

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Total four triangles of B fit into triangle A as length of the equilateral triangle A is twice the length of triangle B.

As given in the question,

Types of triangles : Equilateral triangle

Number of triangle = 2

Triangle A and Triangle B

Let 'x' be the length of the triangle A

And 'y' be the length of the triangle B

As per given condition:

x = 2y

Area of equilateral triangle A = (√3/4)x²

Area of equilateral triangle B = (√3/4)y²

Now x = 2y

⇒Area of equilateral triangle A = (√3/4)(2y)²

⇒Area of equilateral triangle A = (√3/4)4y²

⇒Area of equilateral triangle A = 4 [(√3/4)y²]

⇒Area of equilateral triangle A = 4 ( area of equilateral triangle B)

Therefore, total number of four equilateral triangle of B fit into equilateral triangle A.

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Answer: 3

Step-by-step explanation: schoology whack

The dimensions of the rectangle with area 35 m² is

length = 7.6 m and width = 4.6 m

The dimension of the rectangle is calculated using the formula for area of rectangle

= length x width

where

area of rectangle

35 = (w + 3) * w

35 = w² + 3w

w² + 3w - 35 = 0

solving for w gives

w = 4.6 OR -7.6

using the positive value, the w = 4.6 m, l = 4.6 + 3 = 7.6 m

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l

Answer:

Below

Step-by-step explanation:

To add or subtract fractions ( or numbers with fractions in them) you HAVE to put the fractions into a common denominator form .....

Common denominator for 5 and 7 is 35

3 3/7 = 120/35

2  1/5 = 77/35

120/35  -  77/35  =  ( 120 - 77) / 35 =  43/35 = 1  8/35

Regression analysis will indicate about the underlying population and the model.

It is one of the most used and most powerful multivariate statistical techniques for it infers the existence and form of a functional relationship in a population. Once you learn how to use regression, you will be able to estimate the parameters { the slope and intercept } of the function that links two or more variables. With that estimated function, we  will be able to infer or forecast things like unit costs, interest rates, or sales over a wide range of conditions.

Though the simplest regression techniques seem limited in their applications, statisticians have developed a number of variations on regression that greatly expand the usefulness of the technique. And again, the t-distribution and F-distribution will be used to test hypotheses.

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Answer:

27.29 honestly this is a wild guess

Step-by-step explanation:

7.35% of 147.25 = 10.82

147.25-10.82=136.43

20% of 136.43 = 27.286(27.29)

The functions that have a vertex at x = 0 are (a) f(x) = |x| and (d) f(x) = |x| - 6

From the question, we have the following parameters that can be used in our computation:

The absolute functions in the options

As a general rule;

A absolute functions can be represented as

f(x) = a|x - h| + k

Where

Vertex = (h, k)

A vertex that has x value of 0 means

(h, k) = (0, k)

So, we have

f(x) = a|x - 0| + k

Evaluate

f(x) = a|x| + k

Looking at the options, we have

f(x) = |x| and f(x) = |x| - 6

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The required answer for the given system of linear equations is No solution.

What is a system of linear equation?

A system of linear equations comprises two or more linear equations made up of two or more variables so that all equations in the system are considered simultaneously. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation. As a result, we are able to formulate linear equations with n variables.

Solve for the first variable in one of the equations, then substitute the result into the other equation, we will get

No solution

The graph of the given system of linear equations is given below

Hence, the required answer for the given system of linear equations is No solution.

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Answer:

  (c)  -42

Step-by-step explanation:

You want the product ab given that ...

The function (f+g)(x) is the sum of the other two functions. For the purpose here, we only need to look at terms that involve 'a' and 'b'.

Comparing coefficients of x², we have ...

  ax² +3x² = 9x²

  a = 9 -3 = 6

Comparing coefficients of x, we have ...

  -5x +bx = -12x

  b = -12 +5 = -7

The product is ...

  ab = (6)(-7) = -42

The fixed cost of the plumber is £30 and the hourly rate for the plumber is  £25.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the fixed cost of a plumber is y.

Let the number of hours of work done be x.

As per the first condition, that one piece of work takes the plumber 5 hours and costs £155.

Then, the equation according to the statement will be,

y + 5x = £155      (i)

In the second condition, another piece of work takes the plumber 8 hours and costs £230.

Then, the equation according to the statement will be,

y + 8x = £230     (ii)

Now, subtract equation (ii) from the equation for the value of x,

y + 5x = £155

y + 8x = £230

-3x = -75

x = £25

Put x = £25 in equation (i)

y + 5x = £155

y + 5(25) = 155

y = 155 - 125

y = £30.

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For statement 'A chi-square test of independence is used when both variables are ___.'

b. ordinal

d. nominal

In this question we have been given a statement 'A chi-square test of independence is used when both variables are ___.'

We need to select the correct choices for the given statement.

We know that the Chi-Square Test of Independence is used to test if two categorical variables are associated.

It is a nonparametric test.

It can only compare categorical variables.

The categorical variables are classified as nominal and ordinal variables.

Chi-Square Test is used to test for a statistically significant relationship between nominal and ordinal variables.

Therefore, for a chi-square test of independence is used when both variables ordinal  and nominal.

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The equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

To write the equation of a line in slope-intercept form (y = mx + b), we need to find the slope of the line (m) and the y-intercept (b).

To find the slope of the line, we can use the slope formula:

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

The line on the graph passes through points (0, 3) & (0, 4).

m = (4-3)/(0-0)

m = 1/0

m = ∞

so, the slope is undefined.

Therefore, the equation of the line that passes through the point (0, 3) & (0, 4) and the slope of the equation is undefined.

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O (x) = [tex]3x^{3} + 12x^{2}[/tex] is  a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box

Using mathematical operations like addition, subtraction, multiplication, and division, a polynomial is an equation made up of variables, constants, and exponents (No division operation by a variable)

calculation

outside length are height = x

width = x +4 , length = 3x

volume = l *b * h

o(x) = 3x ( x+ 4 )x

= 3[tex]x^{2}[/tex](x+4 )

= O (x) = [tex]3x^{3} + 12x^{2}[/tex]

there is 1 inch of wood , so lengths of inner sides 2 inch less than outer sides as 1 inch from reduced

length = 3x-2

width = x +4-2 = x+2

height = x -2

volume = l*b*h

=[tex]3x^{3} - 2x^{2} - 12x + 8[/tex]

w(x) = [tex]14(6^{2}) + 12(6) -8\\ 504 + 72 -8 \\568inch^{3}[/tex]

so volume of wood = [tex]568inch^{3}[/tex] for x =6

O (x) = [tex]3x^{3} + 12x^{2}[/tex] is  a polynomial function ox in standard form for the volume of the rectangular prism formed by the outer surfaces of the box.

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The terminal point on the unit circle use exact values are,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

Decimals are the numbers, which consist of two parts namely, a whole number part and a fractional part separated by a decimal point. For example, 12.5 is a decimal number.

According to the question, it is provided that,

θ =  11π/6 radians

Now,

x = 1.cos(11π/6)

x = cos(11π/6)

x = cos(330°)

x = [tex]\sqrt{\frac{3}{2} }[/tex]

y = 1.sin(11π/6)

y = sin(11π/6)

y = -0.5

y = - [tex]\frac{1}{2}[/tex]

Then,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

These two represents the terminal points

To find the terminal positions, we merely used the aforementioned equations, equated these two equations, and concluded that the same should be taken into consideration.

It could be figure out by using the x and y points

Therefore

The terminal point on the unit circle use exact values are,

( x , y ) = ( [tex]\sqrt{\frac{3}{2} }[/tex] , - [tex]\frac{1}{2}[/tex] )

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Answer:

C

Step-by-step explanation:

Answer:

B: It translates the graph 9 units to the right.

Step-by-step explanation:

The value 9 has the effect of translating the graph of function f(x) = |x| 9 units to the right. This is because the transformation g(x) = |x - 9| is obtained from f(x) = |x| by subtracting 9 from the argument of the absolute value function. This has the effect of shifting the graph of f(x) to the right by 9 units.

Therefore, the correct answer is B: It translates the graph 9 units to the right.

Answer:

1280 cm³

I presume you are looking for the solution steps and these are below

Step-by-step explanation:

If the each side of the square pyramid is 16 and the slant height is 17, then the height of the pyramid, half the side and the slant edge form a right triangle.

The height of the pyramid can be computed using the Pythagorean theorem

Let a be each side, h the height and s the slant height

[tex]s^2 = h^2 + (a/2)^2\\\\\\s^2 = h^2 + \dfrac{a^2}{4}\\\\\textrm{Plugging in known values,}\\17^2 = h^2 + \dfrac{16^2}{4}\\\\289= h^2 + 64\\\\h^2 = 289 - 64\\\\h^2 = 225\\\\h = \sqrt{225} = 15\\\\[/tex]

The volume, V of a square pyramid of side a and height h is given by the formula:

[tex]V = \dfrac{1}{3}a^2h\\\\\\\textrm{Plugging in values,}\\\\V = \dfrac{1}{3}\cdot 16^2 \cdot 15\\\\[/tex]

[tex]V = \dfrac{1}{3} \cdot 256 \cdot 15\\\\V = 256 \cdot 5\\\\V = 1280[/tex]

The volume of the pyramid is 1280 cubic cm.

Given the slant height of the pyramid is 17 cm and the length of square base of the pyramid is 16 cm.

Now we know the volume of the pyramid with a square base = [tex]\frac{1}{3}[/tex]×area of the base×height.

So we need the values for area of the base and height of the pyramid.

Area of the square base=16×16 sq. cm.= 256 sq. cm.

Again we can apply the relation to find the value of height,

(Slant height)² = (Height)² + ([tex]\frac{1}{2}[/tex]×Length of the base)²

So, putting the values we get,

[tex](17)^2 = (height)^2 +(\frac{16}{2})^2[/tex]

⇒ [tex]289 = (height)^2+64[/tex]

⇒ [tex](height)^2= 225[/tex]

⇒ [tex]height = 15cm[/tex]

Now by appyling the volume of the pyramid we get,

Volume = [tex]\frac{1}{3} \times 256 \times 15[/tex] cubic cm. = 1280 cubic cm.

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Answer:

what we cookin ma boi

Step-by-step explanation:

A. Width = 16.5 ft             B.Width = 55.25 ft  

   Height  = 9.3 ft                 Height = 91 ft

   Area = 153.45 ft²              Area = 5027.75 ft²  

The area of the rectangle is a place covered by a rectangle in a 2D plane

The formula for Area of the rectangle is given by

Here we have

1 in = 3 feet and  1 cm = 6.5 ft  

Calculation for rectangle A :

In rectangle A

Width  = 5.5 in

=> Width in feet = 5.5 × 3 feet = 16.5 ft

Height =  3.1 in

=> Height in feet = 3.1 × 3 feet = 9.3 ft

By the given formula

Area = 16.5 ft × 9.3 ft = 153.45 ft²    

Calculation for rectangle B :

In rectangle B

Width  = 8.5 cm

=> Width in feet = 8.5 × 6.5 feet = 55.25 ft

Height = 14 cm

=> Height in feet = 14 × 6.5 feet = 91 feet

By the given formula

Area = 55.25 ft × 91 ft =  5027.75 ft²    

Therefore,

 A. Width = 16.5 ft             B. Width = 55.25 ft  

       Height  = 9.3 ft                 Height = 91 ft

       Area = 153.45 ft²              Area = 5027.75 ft²  

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Answer:

Step-by-step explanation:

because there is no change in slope. The graph will always be strait in this

$50,700 he make in commission in​ 2011.

%Earns= 13% commission/week

Last week sold = $7,500

In order to obtain the last week earns in commission we need to multiply % rate of commission by the last week sold as shown as follows:

$Earns = 0.13 (decimal form)*$7,500

Earns = $975

Last week, he made $975 in commission.

If he averages that same amount each week, he should make $975* 52(number of weeks per year) = $50,700/year

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The freezing point of the 2.75 m solution of octane in benzene is -8.56 °C.

The freezing point of a solution is the temperature at which the solution becomes a solid. The freezing point of a solution is lower than the freezing point of the pure solvent because the solute particles interfere with the movement of the solvent molecules, which slows down the freezing process.

To determine the freezing point of a solution, we can use the freezing point depression equation:

ΔTf = Kf x molality

where ΔTf is the change in freezing point, Kf is the freezing point depression constant for the solvent, and molality is the concentration of the solute in the solution expressed in moles of solute per kilogram of solvent.

To find the freezing point of a 2.75 m solution of C8H18 (octane) in benzene, we need to know the freezing point depression constant for benzene, which is 5.12 °C/m. We can then use the equation above to calculate the change in freezing point:

ΔTf = 5.12 °C/m x 2.75 m = 14.06 °C

To find the freezing point of the solution, we need to subtract the change in freezing point from the freezing point of the pure solvent. The freezing point of pure benzene is 5.5 °C, so the freezing point of the 2.75 m solution of octane in benzene is:

5.5 °C - 14.06 °C = -8.56 °C

This means that the freezing point of the 2.75 m solution of octane in benzene is -8.56 °C. At this temperature, the solution will become a solid.

Step-by-step explanation:

Press ''CTRL + /'' to access the list of features.

Find the “Text Formatting” section.

Choose “Superscript” from the list of options.

On the right-hand side, you'll see the ''CTRL +. '' shortcut. Use it to make the number or letter in your text appear in exponent form.

Step-by-step explanation:

1. Place your cursor where you want an exponent. For example, if you want to place an exponent after the number 10 in a document, place your cursor directly after the 10 with no space.

2. Type Alt+0185 for the exponent 1. For example, you can type the number 10¹ holding the Alt key and typing 0185.

3. Type Alt+0178 for the exponent 2. For example, you can type the number 10² holding the Alt key and typing 0178.

4. Type Alt+0179 for the exponent 3. For example, you can type the number 10³ by holding the Alt key and typing 0179.

start by plugging values for x into the function

a) f(1) = 4 (1/2)^1

f(1) = 2

the first coordinate point is (1,2)

b) f(0) = 4(1/2)^0

f(0) = 4

(0,4)

this method will help you find the coordinate points and where to plot.

By observing the figure we can make the pairs as

∠1 ≅ ∠3 ---------(Opposite angles)
∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)
∠4 ≅ ∠6 ---------(Alternate angles)
∠3 ≅ ∠5 ---------(Alternate angles)

What are opposite angles and Alternate angles?

Opposite angles are angles that are located opposite each other, with respect to a straight line or a transversal. They are also called vertically opposite angles.

Alternate angles are angles that are located on opposite sides of the transversal and on the same side of the straight line or the transversal. They are also called corresponding angles.

In the given figure,

By observing the opposite angles and alternate angles we can fill the blocks,

∠1 ≅ ∠3 ---------(Opposite angles)

∠2 ≅ ∠4 ---------(Opposite angles)
∠5 ≅ ∠7 ---------(Opposite angles)
∠6 ≅ ∠8 ---------(Opposite angles)

∠4 ≅ ∠6 ---------(Alternate angles)

∠3 ≅ ∠5 ---------(Alternate angles)

Hence, we have found the opposite angles and alternate angles from the figure.

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Answer:

Step-by-step explanation:

You want an exponential regression function for the data in the table.

A regression function of most any kind can be found using a graphing calculator or spreadsheet. The attachment shows the function is approximately ...

  y = 371.17 × 1.15^x

where y is the number sold, and x is the month.

Using x=8, the predicted number sold for month 8 is ...

  y = 371.17 × 1.15^8 ≈ 1135.4175 ≈ 1135

Sales for month 8 will be about 1135.