Anyone can help on this one ?

If a standardized exam's scores are normally distributed. The z-scores that correspond to each value are 1.22, -0.75, 2.18,- 0.31.

mu = population mean = 1487

sigma = population standard deviation = 314

x =1870

z = (x - mu)/σ

z = (1870-1487)/314

z = 1.22 (approximately)

x =1250

z = (x - mu)/σ

z = (1250-1487)/314

z = -0.75

x =2170

z = (x - mu)/σ

z = (2170-1487)/314

z = 2.18 (approximately)

x =1390

z = (x - mu)/σ

z = (1390-1487)/314

z = -0.31 (approximately)

Therefore the z-scores that correspond to each value are 1.22, -0.75, 2.18,- 0.31.

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The required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

Given that,
A rectangular floor is long and wide. Pablo wants to carpet the floor with carpet titles sold by the square yard.

Surface area is defined as the area of the surface that is uncovered.

here,
Let for a tile the length be L and the width be W,
Assume that the number of tiles required is N,
The area of the N tiles is equal to the area of the rectangular floor,
Area of the floor = N [area of the tile]
Area of the floor (A = N [L× W]

Thus, the required area of the flour in the square yard is A =n[ L×W ] where L and W are the length and width of the tiles respectively.

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If the distance from P to R is 3 units, then the distance from Q to S is; 3 units

We are told that quadrilateral PQRS is a scaled copy of quadrilateral ABCD. Thus, this means that;

P → A

Q → B

R → C

S → D

We are also told that the length of PR = 3 units.

Now, from the given image, we see that;

AC = 6 and BD = 6

We also know that;

AC corresponds to PR

BD corresponds to QS

Due to the fact that AC and BD have the same side lengths, then it means that PR and QS will have the same side lengths.

Therefore, the value of QS is: QS = 3

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Complete question is;

Here is Quadrilateral ABCD.

Quadrilateral PQRS is a scaled copy of Quadrilateral ABCD Point P corresponds to A.

Q to B. R to C. and S to D.

1. If the distance from P to R is 3 units, what is the distance from Q to S?

R₀, 270° is the rule that describes the transformation

Rotation simply means turning. In a cartesian plane, if a point P, whose position vector is (x,y), is rotated through θ° about the origin, the position of the image P' is

a. (-y, x) for θ = 90°

b. (-x, -y) for θ = 180°

c. (y, -x) for θ = 270°

Given the: Triangle RST with vertices R(2, 0), S(4, 0), and T(1, -3). And the image of triangle RST after a rotation has vertices R'(0, -2). S'(0, -4), and T(-3, -1)

From the given vertices it is obvious that the relation between preimage and image is defined as

(x, y) => (y, -x)

Therefore, the rule that describes the transformation is (y, -x) for θ = 270° (i.e. when the figure rotates 270° counterclockwise). So the third option (R₀, 270° ) is the answer.

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Answer:

the answer is 6

Step-by-step explanation:

I hope I helped, if you have questions let me know. I'll try to answer.

[tex]39 + \frac{1}{7}r[/tex] when r = -1/2

[tex]39 + \frac{1}{7}*\frac{-1}{2} \\\\39 + \frac{-1}{14}\\\\[/tex]

= 38.92857 (in decimal form)

= 545/14 (in fractional form)

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numerical expressions are given below.

(5 + 9 - 2³) and (4² - 6)

Simplify the expression, then we have

(5 + 9 - 2³) = 5 + 9 - 8 = 6

(4² - 6) = 16 - 6 = 10

The expressions (5 + 9 - 2³) and (4² - 6) are not equal (≠) to each other. Then the correct option is B.

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Answer:

(A∩B)={1,15}

Step-by-step explanation:

The number will x=17 and y=-3 as the sum of two numbers is 14 and the difference between the numbers is 20.

The addition, subtraction, multiplication, division, exponentiation, and modulus operations are carried out by the arithmetic operators. One operand is added to the other in addition. On the provided operands, the operator is accustomed to performing mathematical operations like addition, subtraction, multiplication, division, modulus, etc. Examples of arithmetic operators include: 5 + 3 = 8, 5 - 3 = 2, 2 * 4 = 8, etc.

Here,

x+y=14

x-y=20

subtract equation,

2y=-6

y=-3

x+y=14

x-3=14

x=17

The result will be x=17 and y=-3 because the sum of the two numbers is 14 and their difference is 20.

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Any number between -7 and 7 can be located in the number line.

The number line is a horizontal line that has equally spread number increments.

Given a number line, suppose we plot -5 on it, which is between -7 and 7

Then, its position will be 5 units left of 0 on the number line.

Hence, -5 is the point between -7 and 7 on the number line, which is 5 units left on 0.

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Answer: 667

Step-by-step explanation:

14.50 x 46

Answer:

3

Step-by-step explanation:

√83-√35 = 3.1943537960446828393782978131270521416836379374706155296172187959...

Step-by-step explanation:

we need to remember the squared numbers of the baud integers :

1² = 1

2² = 4

3² = 9

4² = 16

5² = 25

6² = 36

7² = 49

8² = 64

9² = 81

10² = 100

so, what squared integers are closest to 83 and 35 ?

well, 81 (9²) and 36 (6²).

so, the result has to be closest to 9 - 6 = 3.

83 is larger than 81 than 35 is smaller than 36. so, 3 is less than sqrt(83) - sqrt(35).

therefore, the correct answer is indeed 3.

Answer:

-3/8

Step-by-step explanation:

3(x+6)+5(x-3)

3x+18+5x-15

8x+3

8x=-3

x= -3/8

A recording of $0 for the family simply means that they have not saved anything or have spent all the savings.

Savings simply means keeping of miney for a period of time in order to cater for future expenses. Saving is defined as income that is not spent or deferred consumption. Saving methods include putting money aside in a deposit account, a pension account, an investment fund, or as cash. Saving also entails lowering expenses, such as recurring costs.

Here, the family wants to save $100 each month and they record their progress toward this goal at the end of each month.

A recording of $0 simply means no savings.

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Answer:

0=0

Step-by-step explanation:

Answer: Infinite Solutions

Step-by-step explanation:

Hello! Let's solve this equation.

[tex]\sf{6x-5=6x-5}[/tex]

↓

[tex]\sf{6x=6x-5+5}[/tex]

↓

[tex]\sf{6x=6x}[/tex]

[tex]\sf{6x-6x}[/tex]

↓

[tex]\sf{0}[/tex]

[tex]\textbf{So as you see, all the terms \textit{cancel out.}}\\\textbf{The \textsf{given equation} has \textit{\underline{infinite solutions.}}}\\\textbf{The equation is true for any x-value.}[/tex]

[tex]_ < \!\!\!\rule{300}{1}\!\!\!_ >[/tex]

( 60+12x )/5 fish fisherman will catch in 5+x days .

The unit method is a method of solving a problem by first obtaining the value of a single unit,  then multiplying the value of the single unit to obtain the necessary value.

Assume you go to the market to buy six apples. The shopkeeper told you that he sells 10 apples for 100 rupees. In this case, the apple is the unit and the apple price is the value. Knowing the units and values ​​is important when solving problems using unitary methods.

For simplicity, always write what you calculate on the right and what you know on the left. In the problem above, we know the amount of apples, but we don`t know the value of the apples. Note that the concept of ratio and ratio is used for problems related to this method.

5 days ------------> 12 fish

1 day --------------> 12/5 fish

5 + x days --------------> 12/5 x (5+x)

                                   = ( 60+12x )/5 fish

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Using simple mathematical operations, David's overall loss is -5.8.

So, the overall gain/loss of David is:

Now, calculate loss/gain as follows:

Therefore, using simple mathematical operations, David's overall loss is -5.8.

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The vertical asymptote of a given function is x = -2 and x = -3.

What is the vertical asymptote of a function?

A vertical line that directs the function's graph but is not actually a part of it is called a vertical asymptote. It appears at the x-value that is outside the domain of the function, therefore the graph can never cross it.

To find the vertical asymptotes, set the denominator equal to zero and solve for x.

For the given function,

                           [tex]F(x) = \frac{1}{7(x+2)(x+3)}[/tex]

To find the vertical asymptote, equate the denominator to zero.

                            7(x + 2)(x + 3) = 0

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

                  x + 2 = 0           (or)         x + 3 = 0

                  x = -2                (or)         x = -3

Hence, The vertical asymptote of the given function is x = -2 and x = -3.

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Answer:

1.2

Step-by-step explanation:

3/2 ÷ 1 1/4

Answer:

1.2

Step-by-step explanation:

Just did it on khan academy.

Answer: Circumference equals = 27.004
              Area equals = 58.0586

We can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

Given is that a circle with a radius of 4.3.

We can write the area of the given circle as -

Area = πr²

Area = π x 4.3 x 4.3

Area = 18.49π square units

We can write the circumferance of the given circle as -

circumferance = 2πr

circumferance = 2 x π x 4.3  

circumferance  = 8.6π units

Therefore, we can write the area and circumferance of the given circle as 18.49π square units and 8.6π units.

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The penguin's depth after 4 minutes is d = 10.7 + 146m

A rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

if the penguin moves with a speed of 146 meters per minute, then its distance after m minutes is  = 146 x m

Since it moved from an elevation 10.7 below the sea surface, its total distance(d) would be = 10.7 + 146m

substitute m = 4 minutes,

we have

d  = 10.7 + 146(4)

d = 594.7metres

In conclusion, the function rule is 10.7 + 146m and the distance d covered after 4 minutes is 594.7 meters

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The answers to the worksheet are in the included picture! :p

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This is just an example on how to simplify fractions: Write the simplified form of the fraction 12/24.

The given fraction is 12/24.

Step 1: Let us write the factors of 12 and 24.

Factors of 12 are: 1, 2, 3, 4, 6, 12

Factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24

Step 2: Let us identify the common factors of 12 and 24.

Common factors are: 1, 2, 3, 4, 6, 12

Step 3: Keep dividing the numerator and denominator by the common factors.

(12 ÷ 2)/(24 ÷ 2) = 6/12

And

(6 ÷ 2)/(12 ÷ 2) = 3/6

Now divide by 3,

(3 ÷ 3)/(6 ÷ 3) = 1/2

Thus, 1/2 is the simplified fraction of 12/24.

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Have a great day and God bless! :D

A. The data modeling the relation is an exponential function.

B. The function is: y = 2^x.

C. The rate of change from x = 2 to x = 4 is of 4.

The definition of an exponential function is presented as follows:

[tex]y = ab^x[/tex]

In which the variables of the function are listed as follows:

From this data-set, when x increases by one, y is multiplied by 2, hence the rate of change is:

b = 2.

When x is increased by n, the rate of change is:

b^n = 2^n.

Hence, when x is increased by 2, from 2 to 4, in item c, the rate of change is:

2² = 4.

When x = 1, the output is the output at x = 0 multiplied by 2, hence the coefficient a of the function is given as follows:

a = 2/2 = 1.

Then the exponential function is:

[tex]y = 2^x[/tex].

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The completion of the trend analysis for sales with 2010 as the base year is as follows:

                               2013           2012           2011           2010

Sales               $ 158,000   $ 615,000   $ 280,000   $ 500,000

Trend Analysis       32%           123%           56%           100%

Trend analysis uses observed historical data to predict future developments and monitor performances about a particular topic.

Undertaking a trend analysis for sales, which is a technical analysis, involves setting a base year.  The sales figure for the base year is set to 100% and used to check changes during the review periods.

The other years' sales results, in percentages, are compared to the base year by dividing each year's sales by the base year.

2013 (D) = 32% ($158,000/$500,000 x 100)

2012 (C) 123% ($615,000/$500,000 x 100)

2011 (B) 56% ($280,000/$500,000 x 100)

2010 (A) = 100% ($500,000/$500,000 x 100)

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Answer:

Step-by-step explanation:

Use identity:

Substitute values:

Answer:

(a - b)² = 9

Step-by-step explanation:

Expand (a - b)²:

[tex]\begin{aligned}\implies (a-b)^2&=a^2-2ab+b^2\\&=a^2+b^2-2ab\end{aligned}[/tex]

Given:

Substitute the given values into the expanded equation:

[tex]\begin{aligned}\implies (a-b)^2&=a^2+b^2-2ab\\&=15-2(3)\\&=15-6\\&=9\end{aligned}[/tex]

Therefore, (a - b)² = 9.

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

Given,

The quantity of apple bought by Jaxon = 10 2/3 pounds

The cost of one pound of apple = $1.80

We have to find the total amount Jaxon should paid for the apples, in dollars and cents;

Here,

Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple

Total amount Jaxon should paid = 10 2/3 × 1.80

Total amount Jaxon should paid = 12 dollars

1 dollar is equal to 100 cents

Then,

12 dollars = 12 x 100 = 1200 cents.

Therefore,

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

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Based on the calculations, this equation 4f + 2(12f − 4) = 3(2f − 4) − f + 3 has one solution, which is equal to -1/23.

In Mathematics, no solution is also referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.

This ultimately implies that, an equation would have no solution or zero solution when both sides of the equal sign are not the same and the variables cancel out.

From the information provided, we have the following equation:

4f + 2(12f − 4) = 3(2f − 4) − f + 3

Opening the bracket, we have:

4f + 24f - 8 = 6f - 12 - f + 3

28f - 8 = 5f - 9

By collecting like terms, we have the following:

28f - 5f = -9 + 8

23f = -1

Dividing both sides by 23, we have:

f = -1/23

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The function will be;

⇒ y = 3x - 1

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The domain and the range is shown in table.

Two points on the line are (2, 5) and (7, 20).

Now,

Since, The equation of line passes through the points (2, 5) and (7, 20).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (20 - 5) / (7 - 2)

m = 15 / 5

m = 3

Thus, The equation of line with slope 3 is,

⇒ y - 5 = 3 (x - 2)

⇒ y - 5 = 3x - 6

⇒ y = 3x - 6 + 5

⇒ y = 3x - 1

Therefore, The function will be;

⇒ y = 3x - 1

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