I need help with this question

Answer:

Solution :

Original price of a toy( A ) = £50

Increased price = £65

price difference = £65 - £50 =£15

Increased % = ( difference × 100 )/A

= ( 15 × 100 )/50

= 30%

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

you only have to divide by 3 for both sides

Bytaking the quotient between the probabilities we can see that Getting a 17 is three times more likely to get a 18.

If you toss 3 dices with 6 sides each, then the total number of combinations is:

6*6*6 = 216

Now, the outcomes that add up to 18 are:

dice 1, dice 2, dice 3, sum:

6            6         6       , 18

The outcomes that add up to 17 are:

dice 1, dice 2, dice 3, sum:

5           6         6       , 17

6            5         6       , 17

6            6         5       , 17

So the probabilities are:

P(18) = 1/216

P(17) = 3/16

The quotient gives:

P(17)/P(18) = 3

Getting a 17 is 3 times more likely to get a 18.

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Answer:

A

Step-by-step explanation:

Group like-terms, that is move the numbers to one side of the sign.

Then, divide both sides by 2

Answer:

w = 5

Step by step explanation:

5 + 3 (w) = 20

first do 3 times what = 15

now its 5 + 15 = 20

so w = 5

Answer:

false u have to wait 48hours

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Hope this helps :)

Answer:

I'd love to help, but I need the full question first!!!

a. The unemployment rate is 20%.

b. The labor-force participation rate is 60%.

According to the question,

Working age population- 100,000

Labour force - 60,000

Unemployed - 12000 instructions

a) The unemployment rate is the percentage of the labor force that is unemployed and it is calculated as follows:

Unemployment Rate = \(\frac{Number of unemployed People}{Labor force}\) × 100

When an unemployed population is 12,000 and the labor force is 60,000,

the unemployment rate is  = \(\frac{12000}{60000}\) × 100 = 20%

b) labor force participation rate is the percentage of working adult population that participates in labor either by actively looking for a job, or working. It is calculated as follows:

Labor Force Participation Rate = \(\frac{Labor force}{working age population}\) × 100

When the labor force is 60,000 and the working-age population is 100,000

Labor Force Participation Rate = \(\frac{60000}{100000}\) × 100 = 60%

So, a. The unemployment rate is 20%.

b. The labor-force participation rate is 60 %.

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The sample proportion of households without fiber cable is approximately 0.369.

To calculate the sample proportion of households without fiber cable, we first need to determine the number of households without fiber cable. We can subtract the number of households with fiber cable (305) from the total number of surveyed households (485).

Number of households without fiber cable = Total surveyed households - Households with fiber cable

= 485 - 305 = 180

Next, we divide the number of households without fiber cable by the total number of surveyed households to obtain the sample proportion. Sample proportion = Number of households without fiber cable / Total surveyed households

                = 180 / 485

                ≈ 0.371 (rounded to 3 decimal places)

Therefore, the sample proportion of households without fiber cable is approximately 0.369.

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Part A: The coefficient of the 4th degree term in the Taylor polynomial for f(x) = sin(4x) centered at x = 0 is -1/3! = -1/6.

Part B: Using a 4th degree Taylor polynomial for sin(x) centered at x = 0, we can write g(x) = sin(0.8) ≈ P4(0.8), where P4(0.8) is the 4th degree Taylor polynomial for sin(x) evaluated at x = 0.8.

Evaluating P4(0.8) using the formula for the Taylor series coefficients of sin(x), we get P4(0.8) = 0.8 - 0.008 + 0.00004 - 0.0000014 ≈ 0.78333. This estimate is very close to 1 because sin(0.8) is close to 1, and the Taylor series for sin(x) converges very rapidly for values of x close to 0.

Part C: The series { (-1)n / (2n + 1) } has a partial sum S when x = 1. To find an interval |S - S5| = R5| for which the actual sum exists, we can use the alternating series test. The alternating series test states that if the terms of a series alternate in sign, decrease in absolute value, and approach zero, then the series converges.

Since the terms of the series { (-1)n / (2n + 1) } alternate in sign and decrease in absolute value, we know that the series converges. To find an interval |S - S5| = R5|, we can use the remainder formula for alternating series, which states that |Rn| ≤ a_n+1, where a_n+1 is the first neglected term in the series.

Since the terms of the series decrease in absolute value, we know that a_n+1 ≤ |a_n|. Therefore, we have |R5| ≤ |a6| = 1/7!, which means that the actual sum of the series exists in the interval S - 1/7! ≤ S5 ≤ S + 1/7!. Therefore, an interval for which the actual sum exists is [S - 1/7!, S + 1/7!].

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The surface area of a sphere with a radius of 10 feet is approximately 1,256 ft².

The surface area of a sphere refers to the total area that covers the surface of the sphere. It is the sum of all the areas of the small flat faces that make up the sphere.

To find the surface area of a sphere with a radius of 10 feet, we need to use the formula:

Surface Area = 4πr²

Where r is the radius of the sphere.

Plugging in the value of r=10 into the formula, we get:

Surface Area = 4π(10) = 400π

Since π is an irrational number, we cannot calculate its exact value. However, we can approximate it to 3.14. Therefore,

=> Surface Area = 400 * 3.14 = 1256

Rounding to the nearest whole number, we get the surface area of the sphere with a radius of 10 feet as 1,256 ft², which is option (a).

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Answer:

$82.21

Step-by-step explanation:

cost of meal: $78.30

15% discount: 15% of $78.30 = 0.15 × $78.30 = $11.75

tip: 20% of $78.30 = 0.20 × $78.30 = $15.66

total cost = $78.30 - $11.75 + 15.66 = $82.21

Answer: $82.21

Answer:

1. 2

2. -9

Step-by-step explanation:

y=-4X+6 when X=1

y= -4(1) + 6

y= -4+6=2

y=½X when X=-18

y= ½×-18= -9

Answer:

1.y=2

2.y=-9

Step-by-step explanation:

step 1

put/replace the given value of x in x

step 2

do calculation

step 3

then you get your answer

The value of IQR is 90 when box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290.

Given that,

For box plot data where Q₁ = 200, Q₂ = 250, and Q₃ = 290

We have to find the data of IQR.

We know that,

IQR is define as the variation in the distribution of your data's middle quartile is measured by the interquartile range (IQR). It is the range that corresponds to your sample's middle 50%. Measure the variability where the majority of your numbers are by using the IQR.

IQR Formula is Q₃ - Q₁

So,

Q₃ = 290

Q₁ = 200

Then ,

IQR = Q₃ - Q₁

IQR = 290 - 200

IQR = 90

Therefore, The value of IQR is 90.

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The most appropriate choice for area of rectangle will be given by-

Difference between area of rectangle 2 and area of rectangle 3 is the largest.

Difference is 25.92 \(cm^2\)

What is area of rectangle?

Area of rectangle is the total space taken by the rectangle.

If l is the length of the rectangle and b is the breadth of the rectangle, then area of rectangle is given by

Area of rectangle = \(l \times b\)

Here,

Area of rectangle 1 = 60.81 \(cm^2\)

Area of rectangle 2 = 61.44 \(cm^2\)

Area of rectangle 3 = 35.52 \(cm^2\)

Area of rectangle 4 = 47.88 \(cm^2\)

Difference between Area of rectangle 1 and rectangle 2 =

                                                                                             (61.44 - 60.81)\(cm^2\)

                                                                                            = 0.63 \(cm^2\)

Difference between Area of rectangle 1 and rectangle 3 =

                                                                                            (60.81 - 35.52)\(cm^2\)

                                                                                             = 25.29 \(cm^2\)

Difference between Area of rectangle 1 and rectangle 4 =

                                                                                             (60.81 - 47.88)\(cm^2\)

                                                                                            = 12.93 \(cm^2\)

Difference between Area of rectangle 2 and rectangle 3 =

                                                                                             (61.44 - 35.52)\(cm^2\)

                                                                                            = 25.92 \(cm^2\)

Difference between Area of rectangle 2 and rectangle 4 =

                                                                                            (61.44 - 47.88) \(cm^2\)

                                                                                            = 13.56 \(cm^2\)

Difference between Area of rectangle 3 and rectangle 4 =

                                                                                           (47.88 - 35.52) \(cm^2\)

                                                                                            = 12.36 \(cm^2\)

Difference between area of rectangle 2 and area of rectangle 3 is the largest.

Difference is 25.92 \(cm^2\)

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The length of the fence in feet if he uses all 72 feet of material is 33 feet.

Perimeter = 2(length + width)

72 = 2(x + 3)

72 = 2x + 6

72 - 6 = 2x

68 = 2x

x = 68/2

x = 33 feet

Therefore, the length of the fence in feet if he uses all 72 feet of material is 33 feet.

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Answer of the following questions for given mean and standard deviation along with sample size are:

a. Null hypothesis , H₀: μ = 4.00

   Alternative hypothesis, H₁ : μ > 4.00

b. Value of test statistic is 1.647

c. Conclusion is no evidence to conclude mean wait time for customer is longer than 4.00 minutes.

As given in the question,

Wait time for customer is at most 4.00 minutes

a. Null hypothesis is given by

H₀: μ = 4.00

Mean time is not exceeding the requirement

Alternative hypothesis is given by:

H₁ : μ > 4.00

b. Value of test statistic is given by :

(\(\bar{x}\) - μ₀) ÷ ( s/√n )

Sample mean \(\bar{x}\) = 4.14

Population mean μ₀ = 4.00

Standard deviation 's' = 0.55 minutes

Sample size 'n' = 42

Substitute the value in the formula we get,

(4.14 - 4.00) ÷ (0.55/ √42)

= 0.14 / (0.55/ 6.5)

=0.14/ 0.085

= 1.647

c. α = 1 - 98%

   = 1 - 0.98

   = 0.02

Decision value limit :

Reject H₀ ; if P value < α

Using table ,

P value = P(Z < 1.647)

              = 0.04997

⇒P value = 0.04997

0.04997 > 0.02

Here P value > α

Fail to reject Null hypothesis .

Therefore, from the given standard deviation and mean conclusion is that there is no sufficient evidence to prove that mean wait time for customers is longer than 4.00.

The complete question is:

The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.00 minutes. to make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 42 randomly selected calls. the mean wait time was calculated to be 4.14 minutes. assuming the population standard deviation is 0.55 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.00 minutes with a 98% level of confidence?

1. State the null and alternative hypotheses for the test.

2. Compute the value of the test statistic.

3. Draw a conclusion and interpret the decision.

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Solution a needed 70 ounces and solution b needed 50 ounces

What does "1 ounce" mean?

One ounce weighs 437.5 grains or 28.349 grams and is a sixteenth of a pound (avoirdupois) of weight.

One ounce, abbreviated "oz," equals 480 grains, or 31.103 grams, and is one-twelfth of a Troy or Apothecaries' pound in weight. abbreviation for fluid ounce. a tiny amount or percentage.

So, let x=the of ounces of the 50% acid solution. The total volume after both are mixed is 100 ounces so the amount of the 20% solution will be 120-X. The equation will therefore be:

50% * x + 20% * (100-x) = 41% * 100

Dropping the ‘%’ we get

50x + 2000 - 20x = 4100

30x = 2100

x = 2100/30 = 70

Hence 70 ounces will be needed

Solution a = 70 ounces

Solution b = 50 ounces

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The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

The term significant figures refers to the non zero digits in a number . It is those numbers that can be assigned a value in any string of digits. In mathematics, we often carry out operations such as addition, subtraction, division and multiplication.

The  number of significant digits to report in the answer is always the least number of significant figures that can be found in the question.

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Answer:

4379

Step-by-step explanation:

Answer:

The equation of the line joining the points (-1,-1), (1,-1) is

y +1 =0              

Step-by-step explanation:

Step(i):-

Given curve y = 2 x² -3  , x = -1 and x=1

substitute x =-1 in given curve y = 2 x² -3

                                              y  = 2 (-1 )² - 3

                                             y = 2 -3

                                            y = - 1

First point A( -1 ,-1)

substitute x =1 in given curve y = 2 x² -3

                                                y = 2 (1)² - 3

                                             y = -1

Second point B( 1 , -1 )

Step(ii):-

A( -1, -1 ) and B( 1,-1)

slope of the line

                \(m = \frac{y_{2}-y_{1} }{x_{2} -x_{1} } = \frac{-1-(-1)}{1-(-1)} =0\)

The equation of the straight line passing through the point ( -1,-1 ) having slope m =0

              y - y₁ = m ( x - x₁ )

              y - (-1) = 0( x-(-1)

              y +1 =0

The equation of the line joining the points (-1,-1), (1,-1) is  y +1 =0              

The given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) for all values of m, p, and v is equivalent to \(m^{8}p^{2}v^{12}\). Therefore, option D is the right choice for this question.

Monomials are algebraic expressions with single terms. They can be said to be specialized cases of polynomials.

We are given the algebraic expression - \(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

To simplify it we will use the rules of the indices as follows -

\(a^{m}.\ a^{n} = a^{m+n}\)

Now,

\(m^6p^{-3}v^{10}\) . \(m^2p^5v^2\)

Segregating the like variables, we get,

= \((m^6.\ m^2) .\ (p^{-3}.\ p^{5}) .\ (v^{10}.\ v^{2})\)

by using the rules of indices, we will get,

= \((m^{6+2}) .\ (p^{-3+5}) .\ (v^{10+2})\)

= \((m^{8}) .\ (p^{2}) .\ (v^{12})\)

= \(m^{8}p^{2}v^{12}\)

Hence, the given expression \(m^6p^{-3}v^{10} .\ m^2p^5v^2\) is equivalent to \(m^{8}p^{2}v^{12}\).

Therefore, option D is the right choice for this question.

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The total fixed costs for the event amount to £2,800, which includes the security costs and the cost of the main band. Fixed costs are expenses that do not change with the number of attendees or sales.

To calculate the total fixed costs for the event, we need to identify the costs that do not change with the number of attendees. Based on the given information, the fixed costs include the security costs and the cost of the main band. Let's break it down:

Security costs: The security costs of £300 are fixed and do not depend on the number of attendees. This means the cost remains the same regardless of how many tickets are sold.

Cost of the main band: The cost of the main band is £2,500. Similar to the security costs, this cost is fixed and does not vary based on the number of attendees.

Therefore, the total fixed costs for the event would be the sum of the security costs and the cost of the main band:

Total Fixed Costs = Security Costs + Cost of Main Band

Total Fixed Costs = £300 + £2,500

Total Fixed Costs = £2,800

However, it's important to note that the cost of the supporting band, ticket prices, and the cost of the water bottles are not fixed costs. The cost of the supporting band and the cost of the water bottles are variable costs as they depend on the number of attendees. The ticket prices represent revenue, not costs.

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The analyst should provide a report addressing the following

A sale’s affect on subscription purchases is an example of customer buying behavior analysis.

Data analysis is the process of modifying, processing, and cleaning raw data in order to obtain useful, pertinent information that supports commercial decision-making. The process offers helpful insights and statistics, frequently presented in charts, graphics, tables, and graphs, which lessen the risks associated with decision-making.

Every time we make a decision in our daily lives, we can see a basic example of data analysis by assessing what has happened in the past or what will happen if we take that action. In its simplest form, this process involves looking at the past or future and making a choice based on that analysis.

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Since the options are not given, Let's assume that the answer is 294 or 106.

The answers are infinite.

Hope it helps you...

Answered by Benjemin ☺️

✅

Answer:

Step-by-step explanation:

a + 143 = 180    {Linear pair}

a = 180 - 143

a = 37

37 + 93 + b = 180 {Angle sum property of triangle}

130 + b = 180

         b = 180 - 130

         b = 40

c + b = 90

c  + 40 = 90

c = 90 - 40

c = 50

d + 120 = 180   {Linear pair}

d = 180 - 120

d = 60

? = 60 + 40         {Exterior angle property of triangle}

? = 100

Answer:

  0

Step-by-step explanation:

Multiplying the first equation by xy, we have ...

  x^2 +y^2 = -xy

Factoring the expression of interest, we have ...

  x^3 -y^3 = (x -y)(x^2 +xy +y^2)

Substituting for xy using the first expression we found, this is ...

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

The value of x^3 -y^3 is 0.

Answer:

\(x = 1\)   and   \(y = 6\)

Step-by-step explanation:

Given

\(2x + 3y = 20\)

\(x + 5y = 31\)

Required

Solve for x and y

Make x the subject in the second equation

\(x = 31 - 5y\)

Substitute 31 - 5y for x in \(2x + 3y = 20\)

\(2(31 - 5y) + 3y = 20\)

\(62 - 10y + 3y = 20\)

\(62 - 7y = 20\)

Collect like terms

\(-7y = 20 - 62\)

\(-7y = - 42\)

Solve for y

\(y = \frac{-42}{-7}\)

\(y = 6\)

Substitute 6 for y in \(x = 31 - 5y\)

\(x = 31 - 5 * 6\)

\(x = 31 - 30\)

\(x = 1\)

Answer:

Step-by-step explanation:

Locate the 1 on the x axis. This is one hour worked. Go up vertically along x = 1 and you "land" on the red line very quickly. If you go straight across to the left, you are at 14 on the y-axis. The y-axis indicates the amount of money Leo earns tutoring. If he works one hour and earns $14 and this is a straight line (linear function with a constant slope), that means that for every hour he works he will earn $14. Locate the 2 on the x-axis and go up x = 2 til you hit the red line. Read it to the left and you "land" on the y-axis at $28. $28 divided by 2 hours of work is $14 per hour of tutoring. The first choice is the one you want.