Select all of the following statements that are true four years from now, in the year 2025.
Select : 2
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The Thrift segment will demand 7,741 thousand units
The Core segment will demand 9,771 thousand units
The Nano segment will demand 5,403 thousand units
The Elite segment will demand 5,869 thousand units

The change she should receive is $50.50 and we can find it by using simple cost and price calculations.

What is selling price?

Selling price is the amount of money that a seller charges for a product or service. It is the amount of money that a buyer pays for a product or service. The selling price is determined by a variety of factors, such as the cost of production, the perceived value of the product or service, the market demand for the product or service, competitive pricing in the market, and the profit desired by the seller. The selling price may also be affected by the availability of financing options for buyers, taxes, and other applicable fees. The selling price is an important factor in marketing and promoting a product or service. It must be set at the right level to attract buyers and ensure that the seller can make a profit.

Selling price for a shirt = $31.18

Selling price for a hat = $18.32

Total amount she have = $100

Total selling price (for both) = $49.50

So, the remaining amount = $100 - $49.50

                                            = $50.50

So, the change she should receive = $50.50

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Answer:

you forgot the sentences dude

The restrictions on the variables x and y are given as follows:

x ∈ W, y ∈ W.

The first step in obtaining the restrictions of the variables x and y are identifying them, which is done as follows:

Then we known that we usually hear it in the news things such as this sentence:

"On the last Buffalo Bills game, 60,000 tickets were sold".

The amount of tickets sold varies, but the type of number doesn't, it is always a positive non-decimal number.

The number of ticket sold cannot assume neither negative nor decimal values, thus the variables x and y belong to the whole number set and the first option is correct.

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8  twin-size blanket , y = 1 queen-size blankets will be the fabric used

According to the given information

let

x = number of yards of fabric required to make a twin-size blanket.

y = the number of yards of fabric required to make a queen-size blanket

This week, they used 441 yards of cloth to create 49 twin-size blankets and 49 queen-size blankets:

49x + 49y = 441

The group members finished 21 queen-size blankets and 48 twin-size blankets last week, using 405 yards of cloth altogether:

48x + 21y = 405

Solving the two equations

1029x + 1029y = 9261

2352x + 1029y = 19845

hence

Solving the above two equations

We get

1323x = 10584

x = 8

Putting the value of x in above one equation

y = 1

8  twin-size blanket , y = 1 queen-size blankets will be the fabric used

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Answer: $1,184,537.217

Step-by-step explanation:

You just multiply the number by 1.22 every year.

For example: year 1 (60,000 * 1.22)= 73,200

Year 2: (73,200 *1.22) =89,304

and so on until year 15 is reached.

Step-by-step explanation:

3√2 means 3 times the square root of 2.

Enter 2. Press the square root key to get square root of 2.

You should see 1.4142135

Now multiply by 3.

You should get 4.2426405

Answer:

5:8

Step-by-step explanation:

The answers of given statements are

a) option (A) i.e Net income.

b) The funds grow faster in case of compund interest.

c) Establish a theory of probable cause is third step

d) Gas and insurance

e) It is the rate for each day that is worked.

f) The production factors are labour, land etc.

g) Three basic questions related to economy are

What will be produced?how will it be produced?

how will the output society produces be distributed?

We have given some statements,

a) Saving should treated as an another type -->

Net income

After all sales-related expenses have been taken out, the remaining earnings are referred to as net income. Savings is the act of holding money for use in the future; it does not include paying for an item or service up front. The saving reffered as net income, or income after all expenses.

b) Compound interest is usually better than simple interest because it pays -->or allows funds to grow at a faster rate than they would in an account with a simple interest rate.

c) Third step in troubleshooting a computer problem is :

Step 3. Establish a theory of probable cause. Eliminate the simple and obvious possible causes.

d) Gas and insurance is expenditure will be the same whether you lease or buy a new vehicle.

e) Hourly pay is the rate for each day that is worked and is often calculated upon the number of hours the labor has been given to the factory.

f)The factors of production are

g) An economic system is any system of allocating scarce resources. Economic systems answer three basic questions:

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Answer:

102

Step-by-step explanation:

As we know that the area of triangle is 1/2 × base × height so A.TQ

1) finding the triangle area = 1/2 × base × height

= 6 × 5.

= 30

2) finding the area of rectangle = l×b

= 12 × 6

= 72

Now to find total area is 72 + 30 which will be 102

so the answer is = 102

Option d is correct, s(x)=|3x-4|-9​ this is not a polynomial.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Monomial. Monomial refers to a polynomial with one non-zero term.

Binomial. A binomial is a type of polynomial that has two non-zero terms.

Quadrinomial polynomial. Trinomial.

a polynomial with five factors.

Quadratic polynomial. Linear polynomial.

polynomial cube.

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Answer:

The answer is b!

Step-by-step explanation:

the answer is A .

the open end of the arrow points to the bigger variable. When the variable is included there will be a line under the arrow

Solving the expression 35.1 = 12.9 + 10.2x gives x to be 2 3/17

A group of numbers or variables coupled with the operations +, -,, or form an expression.

Algebraic expressions with variables, numbers, and mathematical operators, as opposed to arithmetic expressions that simply contain numbers and mathematical operators.

The given algebraic expression is 35.1 = 12.9 + 10.2x

solving for x

35.1 - 12.9 = 10.2x

10.2x = 22.2

x = 22.2/ 10.2

x = 2 3/17 as a mixed number in simplest form

the value of x is 2 3/17

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Hence, [tex]x=16[/tex] when [tex]y=48[/tex].

What is the direct variation?

A direct variation, also called direct proportion is a relationship between two variables [tex]x[/tex] and [tex]y[/tex] that can be written as [tex]y = kx[/tex], [tex]k\neq 0[/tex].

Here given that,

The direct variation and [tex]y=75[/tex] when [tex]x=25[/tex],

As we know that,

[tex]y[/tex]α[tex]x[/tex]

[tex]y=kx[/tex]

[tex]75=k(25)\\\\k=\frac{75}{25}\\\\k=3[/tex]

So, when [tex]y=48[/tex]

[tex]y=kx\\\\48=3x\\\\x=\frac{48}{3}\\\\x=16[/tex]

Hence, [tex]x=16[/tex] when [tex]y=48[/tex].

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Answer:

18

Step-by-step explanation:

72/12=6

6×3=18

.....

The linear speed of a person on this Ferris wheel is about 628.2 ft/min.

As a body travels a circular path, it has both a linear speed and an angular speed. The rate it travels on that path is the linear speed, and the rate it turns around the center of that path is the angular speed. The linear speed (v) and angular speed (ω) are related by the radius (r) or v = rω .

Given that ;

Radius = r = 50 ft

Frequency = f = 2 rev/min

The angular speed is the product of the angular displacement for one complete turn, namely 2π radians per revolution, and the frequency (f). That is, the angular speed is equal to ω = 2πf. Substituting this into the formula for linear speed (v), we get:

                                v = r (2πf)

                                    = (50 ft) ( 2π / rev) ( 2 rev/min)

                                    = 200π ft/min

                                    ≈ 628.2 ft/min

The linear speed of a person on this Ferris wheel is about 628.2 ft/min.

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.

The congruency of the right triangles by the Hypotenuse-Leg Congruency Theorem can be made true by the following sides.

1. [tex]\overline{RP}[/tex] ≅ [tex]\overline{MF}[/tex] and   [tex]\overline{DP}[/tex] ≅ [tex]\overline{QF}[/tex]

2. [tex]\overline{CI}[/tex] ≅ [tex]\overline{CE}{}[/tex] and    [tex]\overline{AI}[/tex] ≅ [tex]\overline{GE}[/tex]

3. [tex]\overline{TR}[/tex] ≅  [tex]\overline{RT}[/tex]  and  ;[tex]\overline{TQ}[/tex] ≅ [tex]\overline{RS}[/tex]

4. [tex]\overline{DG}[/tex] ≅  [tex]\overline{KN}[/tex] and  [tex]\overline{AD}[/tex] ≅ [tex]\overline{HK}[/tex]

Two right triangles are congruent if  the hypotenuse side and one leg  of one triangle is congruent to  the hypotenuse side and one leg of the other triangle.

The hypotenuse leg congruency theorem states that two right triangles are congruent if the hypotenuse and one leg of one triangle are congruent to the hypotenuse and one leg of the other triangle

The hypotenuse side of ΔDPR = [tex]\overline{RP}[/tex]
The hypotenuse side of ΔQMF = [tex]\overline{MF}[/tex]

The corresponding legs of both triangles are;

[tex]\overline{DP}[/tex] corresponds to [tex]\overline{QF}[/tex]

[tex]\overline{DR}[/tex] corresponds to [tex]\overline{MQ}[/tex]

Therefore, ΔDPR is congruent to ΔQFM if  [tex]\overline{RP}[/tex] ≅ [tex]\overline{MF}[/tex]

And the leg  [tex]\overline{DP}[/tex] ≅ [tex]\overline{QF}[/tex] or  [tex]\overline{DR}[/tex] ≅ [tex]\overline{MQ}[/tex]

2. The sides that makes the congruency statement, ΔACI ≅ ΔGCE are found as follows;

The hypotenuse side of  ΔACI = [tex]\overline{CI}[/tex]

The hypotenuse side of triangle ΔGCE = [tex]\overline{CE}{}[/tex]

Therefore,

ΔACI ≅ ΔGCE ican be proved when    [tex]\overline{CI}[/tex]  is congruent to [tex]\overline{CE}{}[/tex], and

 [tex]\overline{AI}[/tex]  is congruent to [tex]\overline{GE}[/tex] or    [tex]\overline{AC}[/tex]  is congruent to [tex]\overline{CG}[/tex]

3. In the figure the specified information are;

[tex]\overline{TR}[/tex] is congruent to [tex]\overline{RT}[/tex] by reflexive property

The triangles are congruent if either;[tex]\overline{TQ}[/tex] iis congruent to [tex]\overline{RS}[/tex] or;[tex]\overline{TS}[/tex] iis congruent to [tex]\overline{RQ}[/tex]

4. The appropriate sides that can be used to prove that  ΔADG ≅ ΔHKN  are the hypotenuse side of both triangles;[tex]\overline{DG}[/tex] and  [tex]\overline{KN}[/tex]

and either the legs; [tex]\overline{AD}[/tex] and [tex]\overline{HK}[/tex] or  [tex]\overline{AG}[/tex] and  [tex]\overline{HN}[/tex]

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,

The margin of error with a confidence interval of 0.17 to 0.97 is 0.4.

An indicator of the extent of random sampling error in survey results is the margin of error. In other words, the percentage point difference between the results and the actual population value is indicated by the margin of error. The confidence interval form is given by Confidence Interval = [lower confidence interval limit, upper confidence interval limit]. The confidence interval's total width divided by two is the margin of error.

Here, 95% confidence interval = [0.17, 0.97]. Then, the margin of error is,

[tex]\begin{aligned}\text{Margin of error (E)}&=\frac{\text{(upper confidence interval limit-lower confidence interval limit)}}{2}\\&=\frac{0.97-0.17}{2}\\&=\frac{0.8}{2}\\&=0.4\end{aligned}[/tex]

The answer is 0.4.

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a) An expression for the number of bacteria after t hours - [tex]50e^{0.8t}[/tex]

b) The number of bacteria after 7 hours, P(7)=13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t)=1081.705

d) The population will reach 250,000 after - 4.6hours.

a)The exponential growth model is [tex]P = P_{0} e^{rt}[/tex]

Where,

[tex]P_{0}[/tex] = Initial growth

r = growth rate

t = time period

It is given that initially cells, [tex]P_{0}[/tex] = 50

time period, t = 1.5 hours

Population after t = 1.5 hours is , P =875

Substitute the given values in the growth exponential model:

      875 = [tex]50 e^{r * 1.5}[/tex]

 ⇒  [tex]\frac{875}{50}[/tex] =  [tex]e^{r * 1.5}[/tex]

 ⇒ 17.5 = [tex]e^{r * 1.5}[/tex]

 ⇒ log (17.5 ) = log ([tex]e^{r * 1.5}[/tex] )

 ⇒ log (17.5 ) = 1.5r

 ⇒ 1.24 = 1.5r

 ⇒ r = [tex]\frac{1.24}{1.5}[/tex]

    r = 0.8%

Thus, P(t) = [tex]50e^{0.8t}[/tex]

b) Number of bacteria after 7 hours is calculated as follows:

    P(7) = [tex]50 e^{0.8 * 7}[/tex]

    P(7 ) = 13521.320

c) The rate of growth (in bacteria per hour) after 7 hours:

  P(t) = [tex]50e^{0.8t}[/tex]

Differentiate w.r.t :

  P(t) = 50 × [tex]0.8e^{0.8t}[/tex]

       = 50 × [tex]0.8e^{0.8 * 7}[/tex]

      = 1081.705

d) The population at time t is P(t) = 250000

     250000 = [tex]50e^{0.8t}[/tex]

  ⇒   [tex]\frac{250000}{50}[/tex]  =[tex]e^{0.8t}[/tex]

  ⇒  5000 = [tex]e^{0.8t}[/tex]

 ⇒ 0.8t = 3.7

 ⇒  t = 4.6

a) An expression for the number of bacteria after t hours - [tex]50e^{0.8t}[/tex]

b)The number of bacteria after 7 hours, P(7) = 13521.320

c) The rate of growth (in bacteria per hour) after 7, P(t) =  1081.705

d) The population will reach 250,000 after - 4.6hours.

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The confidence interval for the task of organizing the poll for the upcoming elections be,

(222.117 , 257.883)

Given, You have been given the task of organizing a poll regarding an upcoming election.

The object is to estimate the proportion of the country that will vote to keep the current government in power.

You have been told to collect a sample and find a 95% confidence interval for the proportion.

This interval is allowed to have a margin of error of 3%. A preliminary investigation suggests that the proportion of people that will vote to keep the current government is 0.74.

We have to find the confidence interval,

Subtract 1 from your sample size. 10 – 1 = 9.

Subtract the confidence level from 1, then divide by two.

(1 – .95) / 2 = .025

For 9 degrees of freedom df and α = 0.025, margin of error is 2.262.

Divide your sample standard deviation by the square root of your sample size.

25 / √(10) = 7.90569415

Now, Multiply 2.262 × 7.90569415 = 17.8826802

For the lower end of the range

240 – 17.8826802 = 222.117

For the upper end of the range

240 + 17.8826802 = 257.883

Hence, the confidence interval be (222.117 , 257.883)

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The probability that all the marbles are red is 0.0156 and The probability that none of the marbles are red is 0.2109.

Given ,

bag contains 8 red marbles

7 - white marbles

8 - blue marbles.

a.The probability that every marble is red is

8/23 * 7/22 * 6/21

= 0.0156.

b.The likelihood that no red marbles are present is

15/23 * 14/22 * 13/21

= 0.2109.

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Answer:

0

Step-by-step explanation:

The determinant of the given elementary matrices is  20 .

What is a Matrix ?

The matrix is defined as an arrangement of set of numbers arranged in rows and columns to form a rectangular array.

In the matrix the horizontal elements are called as Rows and

the vertical elements are called as Columns .

In the question ,

it is given that ,

the matrix is  [tex]\left[\begin{array}{ccc}8&5\\4&5\end{array}\right][/tex]  ,

the determinant of the matrix is represented as ⇒ (8×5 - 5×4)

Simplifying the given expression further ,

we get ,

= 40 - 20

= 20 .

Therefore , the determinant is 20 .

The given question is incomplete, the complete question is

Compute the determinants of the elementary matrices given as [tex]\left[\begin{array}{ccc}8&5\\4&5\end{array}\right][/tex] .

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The Probability of both Zack and Lucy missing the target will be 0.48

Let the probability of Lucy and Zack missing the target be = P(L) and  P(Z), respectively. So, If the probabilities of Zack and Lucy missing the target are as follows-

P(L) = 0.6 and

P(Z) = 0.8

then, the probability of both Lucy and Zack missing the target will be,

P(L) × P(Z) i.e.

0.6×0.8 = 0.48

Probability is basically a method to find out the possibility of likelihood of a certain outcome. In mathematics, it was introduced by Pierre and Cardano in the seventeenth century.

The complete question is-

The probabilities of Lucy and Zack hitting or missing the target are given in the following image. As per that, what will be the probability of both Lucy and Zack missing the target?

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The equation to solve the width of rectangle created by John from 48 square centimetre tiles is w(w+2) = 48

and the greatest width in centimetres use for mosaic is 6 cm.

We have given that

John wants to create a mosaic of rectangular shape.

total area of tile(A) = 48 square centimetre

let l and w be length and width of rectangle

length of rectangle is 2 cm longer than width then length of rectangle (l) =( w+2) cm

Area oa rectangle (A) = l × w

=> (w+2) × w = 48

=> w²+ 2w = 48

which is quadratic equation , solve it

w² + 2w - 48 = 0

=> w² - 6w + 8w - 48 = 0

=> (w-6) (w+8) = 0

=> w = 6, -8

Hence, the required equation is w(w+2) = 48 and width of rectangle is 6cm.

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The degree of freedom value for the A× B intersection is  = 6.72

The F value is the value of the F distribution. Various statistical tests generate F values. You can orrect answer is use this value to determine whether your test is statistically significant.

The F value is used in the analysis of variance (ANOVA). It is calculated by dividing the two mean squares. This calculation determines the ratio of explained to unexplained variance.

The F distribution is a theoretical distribution. There are many types of these distributions, each with different degrees of freedom.

Determines the probability of the F value using the degrees of freedom of the F value and the variance source. The probability is the significance value of the test.

AxB intersection:

Interpreting the output of the general linear model command focuses on two parts: the means table and the ANOVA summary table. The average table is the focus of the analysis, while the summary table draws attention to the interesting or statistically significant parts of the average table.

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According to the provided data, to be one of the top 7% earners a manager needs to earn $48,360.

The study of statistics focuses on gathering, organizing, organizing, analyzing, interpreting, and presenting data.

The formulas are given below:

[tex]\mu = \frac {\sum x}{N}[/tex]      (Mean)

[tex]\sigma = \sqrt {\frac {\sum (X- \mu ) ^ {2}} {N}[/tex]    (Standard Deviation)

Mean = $48,000

Standard Deviation = $4,000

According to this data, Max Earning made = $48,000 + $4,000

=$52,000

7% of $52,000 = $3,640

To be top 7% earner, A manager must earn = $52,000 - $3,640

=$48,360

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Answer:$53,903

Step-by-step explanation:

Here, the mean, μ, is 48,000 and the standard deviation, σ, is 4,000. Let x be the cutoff salary for teachers in the top 7%. The area to the right of x is 7%=0.07. So, the area to the left of x is 1−0.07=0.93.

Open Excel. Click on an empty cell. Type =NORM.INV(0.93,48000,4000) and press ENTER.

Round the answer to the nearest dollar, is x≈53,903. Therefore, the cutoff salary for managers in the top 7% is $53,903.

The volume of cylinder is 84.82 cubic feet

In this question, we have been given for a cylinder the diameter equals 3 feet and the length equals 12 feet.

We need to find  the volume of a cylinder.

From given data,

diameter d = 3 feet

So, radius r = d/2

                r = 1.5 ft

length of cylinder (h) = 12 ft

The formula for the  volume of a cylinder is,

V = π * r² * h

V = π * 1.5² * 12

V = π * 2.25 * 12

V = 84.82 cubic feet

Therefore, the volume of cylinder with the diameter equals 3 feet and the length equals 12 feet is 84.82 cubic feet

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(a) The area of the shaded region is 0.2709.

(b) The area of the shaded region is 0.3520.

(c) The area of the shaded region is 0.5555.

(d) The area of the shaded region is 0.6197

What is standard normal curve?

The horizontal axis is approached but never touched by the standard normal curve as it extends indefinitely in both directions. The center of the bell-shaped standard normal curve, which has a z=0 slope, is. Nearly all of the standard normal curve's area lies between z = 3 and z = 3.

The shaded area under the standard normal curve are,

1) Find,  P[Z > 0.61 ]

= P[Z > 0.50]

= 1 - P[Z < -0.50]

= 1 - 0.7291 ( use z table)

=   0.2709

The area of the shaded region is 0.2709.

2) Find,  P[Z < -0.38 ]

= P[Z < -0.38 ]

= 0.3520 ... ( use z table)

The area of the shaded region is 0.3520.

3) Find,  P( -0.58 < Z < 0.98 )

= P(Z < 0.98 ) - P(Z < -0.58 )

= 0.8365 - 0.2810 ......(using z-table)

= 0.5555

The area of the shaded region is 0.5555.

4) Find ,  P( -0.11 < Z > 0.98 )

= 1 - P(Z < 0.98 ) - P(Z < -0.11 )

= 1 - ( 0.8365 - 0.4562 ) ......(using z-table)

= 1 - 0.3803

= 0.6197

Hence, the area of the shaded region is 0.6197.

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The value of n is 1.6 if 4.8=3n by using simplest method.

A mathematical equation links the two phrases on either side of the sign. It typically simply has an equal sign and one variable. similar to 2x - 4 = 2. Simple equations are used to demonstrate the relationship between two terms when they are positioned on each side of an equal sign. Simple equations are all used to follow the four mathematical operations of addition, subtraction, multiplication, and division.

By employing the shorthand symbol for "equal to" (=), it ensures that both expressions of the equation are equal. Equations utilize arithmetic operations like addition, subtraction, division, and multiplication to balance the expressions on both sides.

4.8=3n

Dividing on both sides with 3, we get

3n/3=4.8/3

n=1.6

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