giving out 20 points for correct answer only answer if yk. thx hagd
The following table shows the number of hours some middle school students in two cities spend texting each week:

City A 9 27 17 24 21 12 25 25 18
City B 6 20 26 15 23 25 14 14 11

Part A: Create a five-number summary and calculate the interquartile range for the two sets of data.

Part B: Are the box plots symmetric? Justify your answer.

Answer:

3 books

Step-by-step explanation:

Using complementary angles, it is found that a solution to the given equation is:

D. x = 16, sin 38° = cos 52°.

Two angles are called complementary if the sum of their measures is of 90º. If two angles A and B are complementary, we have that:

cos(A) = sin(B) and sin(A) = cos(B).

In this problem, the expression is:

cos(3x + 4) = sin(2x + 6).

Hence:

3x + 4 + 2x + 6 = 90

5x = 80

x = 16.

Then:

Which means that option D is correct.

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Answer:

The answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Step-by-step explanation:

We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.

The key will equal 2|1 means 21

Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.

Quartile:

Median, Minimum, Maximum, & Range:

Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.

Answer:

Step-by-step explanation:

(2 - 0)/(0 + 2)= 2/2= 1

y - 0 = x + 2

y = x + 2

The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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If ABCD is dilated by a scale factor of 3, the coordinate of B' would be (-6, 6).

In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object, but not its shape.

This ultimately implies that, the size of the geometric shape would be increased (stretched or enlarged) or decreased (compressed or reduced) based on the scale factor applied.

Next, we would apply a dilation to the coordinates of the pre-image by using a scale factor of 3 centered at the origin as follows:

Ordered pair B (-2, 2) → Ordered pair B' (-2 × 3, 2 × 3) = Ordered pair B' (-6, 6).

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Answer:

the 3rd, 4th, and 5th one

Step-by-step explanation:

Answer:

Step-by-step explanation:

:)

Answer:

x = 63.28°

Step-by-step explanation:

A = 33°

a = 175 mm

C = x

c = 287 mm

Use the Law of Sines to find x

Thus:

\( \frac{a}{sin(A)} = \frac{c}{sin(C)} \)

Plug in the values

\( \frac{175}{sin(33)} = \frac{287}{sin(x)} \)

Cross multiply

\( 175*sin(x) = 287*sin(33) \)

Divide both sides by 175

\( sin(x) = \frac{287*sin(33)}{175} \)

\( sin(x) = 0.893208017 \)

\( x = sin^{-1}(0.893208017) \)

x = 63.28° (2 decimal places)

Answer:

the answer is C. 4/5 for the slope

Answer:

-3

Step-by-step explanation:

Answer:

11 hours and 15 minutes (11.25)

Step-by-step explanation:

make a ratio

160:4.5

240/160=1.5

so 1 and 1/2 intervals of 4.5 hours

4.5+4.5= 9

4.5/2=2.25

9+2.25=11.25

The solution is 3.75 hours

The time taken by Jackie to drive a distance of 240 miles is given by the equation A = 3.75 hours

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let the equation be represented as A

Now , the value of A is

Jackie drives 160 miles from Gary, Indiana to Indianapolis, Indiana in 2.5 hours

Distance = 160 miles

Time = 2.5 hours

So , the speed = distance / time

Substituting the values in the equation , we get

Speed = 160 / 2.5

Speed = 64 miles / hour

Now , the new distance = 240 miles

So , the Time required = Distance / Speed

Substituting the values in the equation , we get

Time required A = 240 / 64

Time required A = 3.75 hours

Therefore , the value of A is 3.75 hours

Hence , the time taken with a speed of 64 mph is 3.75 hours

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(a) The algebraic expression, -5x - 2 + 5x + 2 is simplified as 0.

(b) The algebraic expression, 5x -2  - (5x + 2) is simplified as -4.

The given algebraic expression is simplified by adding similar terms together, as it will make the expression to be in simplest form.

The given algebraic expressions are;

-5x - 2 + 5x + 2

5x -2  - (5x + 2)

The first algebraic expression is simplified as follows;

-5x - 2 + 5x + 2

collect similar terms;

(-5x + 5x) + (-2 + 2)

= 0 + 0

= 0

The second algebraic expression is simplified as follows;

5x - 2 - (5x + 2)

= 5x - 2 - 5x - 2

collect similar terms;

= (5x - 5x) + (-2 - 2)

= 0 - 4

= - 4

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The length of the diagonal of the rectangle is AC = 17.69 units

The diagonal of a rectangle is calculated by the formula

From the Pythagoras Theorem , The hypotenuse² = base² + height² , and

Diagonal of a Rectangle = √ ( Length )² + ( Width )²

Given data ,

Let the rectangle be represented as ABCD

Now , the measure of side AB = 12 units

The measure of side BC = 13 units

Let the length be BC and the width be AB

where the diagonal of the rectangle is AC

Now , Diagonal of a Rectangle = √ ( Length )² + ( Width )²

On simplifying , we get

The diagonal of the rectangle AC = √ ( 12 )² + ( 13 )²

The diagonal of the rectangle AC = √ ( 144 + 169 )

The diagonal of the rectangle AC = √313

The diagonal of the rectangle AC = 17.69 units

Hence , the diagonal of the rectangle is 17.69 units

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Answer:

60cm

Step-by-step explanation:

A series with positive and negative terms that alternate is called an alternating series. The sum is in the form "( 1) n a n," where "0" is the number and "1" is the number.

If lim n a n = 0, an alternating series converges and diverges. If lim n a n 0,

A series with the form n = a 1 n p is known as a p-series. If p > 1, it converges, and if p 1, it diverges.

A series converges unconditionally if its absolute value converges, while a series converges conditionally if its absolute value diverges.

A series will converge even when the absolute value of each term is taken into account, whereas a conditional convergence indicates that the series converges but not completely.

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To calculate Swornima's annual income and the amount of tax she should pay, let's break down the information provided:

Monthly basic salary: Rs 48,000

Social security tax rate: 1%

Income tax rate on income up to Rs 5,00,000: 0% (no tax)

Income tax rate on income from Rs 5,00,001 to Rs 7,00,000: 10%

Dashain allowance: 1 month's salary

Deposit in Citizen Investment Trust (CIT): 10%

Rebate on income tax: 10%

(i) Annual Income:

Swornima's monthly basic salary is Rs 48,000, so her annual basic salary would be:

Annual Basic Salary = Monthly Basic Salary x 12

= Rs 48,000 x 12

= Rs 5,76,000

Additionally, she receives 1 month's salary as the Dashain allowance, which we can add to her annual income:

Annual Income = Annual Basic Salary + Dashain Allowance

= Rs 5,76,000 + Rs 48,000

= Rs 6,24,000

Swornima's annual income is Rs 6,24,000.

(ii) Tax Rebate:

Swornima receives a 10% rebate on her income tax. To calculate the rebate, we need to determine her income tax first.

(iii) Annual Income Tax:

First, let's calculate the income tax for the range of income from Rs 5,00,001 to Rs 7,00,000. The tax rate for this range is 10%.

Taxable Income in this range = Rs 6,24,000 - Rs 5,00,000

= Rs 1,24,000

Income Tax in this range = Taxable Income x Tax Rate

= Rs 1,24,000 x 0.1

= Rs 12,400

Now, let's calculate the total annual income tax:

Total Annual Income Tax = Income Tax in the range Rs 5,00,001 to Rs 7,00,000

= Rs 12,400

Next, we calculate the rebate on income tax:

Tax Rebate = Total Annual Income Tax x Rebate Rate

= Rs 12,400 x 0.1

= Rs 1,240

Swornima's annual income tax is Rs 12,400, and she receives a tax rebate of Rs 1,240.

To summarize:

(i) Swornima's annual income is Rs 6,24,000.

(ii) Swornima's tax rebate is Rs 1,240.

(iii) Swornima should pay an annual income tax of R

Answer:

first and third expressions

Step-by-step explanation:

using the rule of exponents

\(\frac{a^{m} }{a^{n} }\) = \(a^{m-n}\)

then

\(\frac{3^{\frac{4}{9} } }{3^{\frac{2}{9} } }\)

= \(3^{\frac{4}{9}-\frac{2}{9} }\) ← first expression

= \(3^{\frac{2}{9} }\) ← third expression

Answer:

it is false because, in the equation 84 does not equal 84.

Step-by-step explanation:

Hope I could help, if you need the equation let me know! :)

Answer:

a) 300 miles

b) 2pm}

That is all I can help you :(

Step-by-step explanation:

8am + 6hrs =14hrs =2pm

Answer:

∆STR ~ ∆RTQ

Step-by-step explanation:

For two fugures to be considered similar, it means the corresponding sides are proportional, and as such, the ratio of their corresponding sides are equal.

However, the corresponding angles of two similar figures are the same and equal.

Taking a look at the figure of the triangle given, ∆STR is a right angle triangle, and it is similar to ∆RTQ as the angle formed at <T in ∆RTQ = 90°.

<T in ∆STR = <T in ∆RTQ.

Therefore, the correct similarity statement is ∆STR ~ ∆RTQ.

The last option is correct.

Answer:

The price of the shirt is $24.63.

Step-by-step explanation:

Let's assume the price of the shirt is x. Then the price of the wallet will be x - 15. We know that the total cost before tax is 34.26, so we can set up the equation:

x + (x - 15) = 34.26

Simplifying, we get:

2x - 15 = 34.26

Adding 15 on both sides:

2x = 49.26

Dividing by 2:

x = 24.63

Therefore, the price of the shirt is $24.63.

Answer: 0.1335

Step-by-step explanation:

Given: Children's IQs follow a normal distribution with mean \(\mu=100\) and standard deviation of \(\sigma=9\).

Let X be the IQ of a random child.

The probability that a randomly selected child has IQ above 110 = P(X>100)

\(=P(\dfrac{X-\mu}{\sigma}>\dfrac{110-100}{9})\\\\=P(Z>1.11)\\\\=1-P(Z<1.11)\ \ \ \ [P(Z>z)=1-P(Z<z)]\\\\=1-0.8665\\\\=0.1335\ \ \ [\text{By p-value table}]\)

Hence, the probability that a randomly selected child has IQ above 110= 0.1335

The volume of the solid whose base is a triangle with vertices (0,0), (0,3), and (5,0) is 25π/12 cubic units.

What is a triangle?

A triangle is a closed geometric shape that is formed by connecting three line segments. These line segments are called sides, and the points where they meet are called vertices. A triangle has three sides, three angles, and three vertices.

To start, let's graph the triangle to get a better understanding of the problem:

(0,3)   *

       |\

       | \

       |  \

       |   \

       |    \

(0,0)   *-----*-----> x

        (5,0)

The height of this slice is given by the line from the point (x,0) to the point (0,3), which has equation y = 3/5 * x + 0. The radius of the semicircle is half the height of the slice, which is given by the equation r = 3/10 * x.

The area of a semicircle is πr²/2, so the volume of this slice is:

V(x) = π * (3/10 * x)² / 2 * dx

To find the total volume of the solid, we need to integrate this expression over the range of x values that covers the entire base of the solid, which is from x=0 to x=5:

V = ∫₀₅ π * (3/10 * x)² / 2 dx

V = π/20 * ∫₀₅ x² dx

V = π/20 * [x³/3] from 0 to 5

V = π/20 * (5³/3)

V = π/4 * (25/3)

V = 25π/12

Therefore, the volume of the solid is 25π/12 cubic units.

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Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Answer:

\(-3/13\)

Step-by-step explanation:

So we have the expression:

\(\frac{y^3+\sqrt{x-2}}{|4x-y|}\)

And we want to evaluate it for x=6 and y=-2.

Thus, substitute:

\(=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}\)

Let's do the numerator first:

\((-2)^3+\sqrt{6-2}\)

Cube the first term and subtract under the radical:

\(=-8+\sqrt4\)

Simplify:

\(=-8+2\)

Add:

\(=-6\)

Now, do the denominator:

\(|4(6)-(-2)|\)

Multiply:

\(=|24-(-2)|\)

Simplify and add:

\(=|24+2|\\=|26|\)

Remove the absolute value bars:

\(=26\)

So, together:

\(=\frac{(-2)^3+\sqrt{(6)-2}}{|4(6)-(-2)|}\\=-6/26\)

Reduce:

\(=-3/13\)

And that's our answer: :)

Answer:

Total price of the meal = $22.68

Step-by-step explanation:

Given that:

Price of the meal = $18

Sales tax = 6% of 18

Sales tax = \(\frac{6}{100}*18\)

Sales tax = 0.06 * 18

Sales tax = $1.08

Tip = 20% of 18

Tip = 0.2 * 18

Tip = $3.60

Total price of meal = 18 + 1.08 + 3.60

Total price of meal = $22.68

Hence,

Total price of the meal = $22.68

Answer:

Step-by-step explanation:

By choosing the LIFO method for inventory, the following items would be decreased (compared to what would have happened if they chose to use FIFO):

Net income

Taxes payable

Total assets

Owner's equity

This is because the LIFO method results in higher cost of goods sold and lower ending inventory, which in turn decreases net income and taxes payable. Lower ending inventory also decreases total assets and owner's equity.

The items that would be decreased by the choice of LIFO (compared to what would have happened if they chose to use FIFO) are Ending inventory and Net profit

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

We are given that;

Inventory costs in 2012 were rising

Now,

LIFO stands for last-in, first-out, and FIFO stands for first-in, first-out. These are two ways of assigning costs to the units of inventory that you sell. FIFO assumes that you sell the oldest units first, while LIFO assumes that you sell the newest units first1.

The choice of LIFO or FIFO has implications on a company’s financial statements as this decision impacts the value of inventory, cost of goods sold, and net profit2. If inventory costs are rising during a period, then LIFO will result in a lower value of ending inventory, a higher cost of goods sold, and a lower net profit compared to FIFO1.

Therefore, by unitary method the answer will be Ending inventory and Net profit

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Answer:

10x + 15y ≥ 900

Step-by-step explanation:

She burns 10 calories per minute while biking and 15 calories per minute while running. For each exercise, the number of minutes multiplied by the number of calories burned per minute will give the total number of calories burned.

Calories burned while biking (10x) plus (+) calories burned while running (15y) is at least 900 (≥900).

The inequality that models this situation is therefore

10x+15y≥900

The required inequality that models the given situation is 10x + 15y ≥ 900.

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

While biking, she burns 10 calories per minute, and 15 calories per minute while running. The total number of calories burned for each exercise is the number of minutes multiplied by the number of calories burned per minute.

Let x be the number of minutes she spends biking and let y be the number of minutes she spends running.

Calories burned while biking (10x) plus (+) calories burned while running (15y) is at least 900 (≥900).

As per the given situation, the required inequality would be as:

⇒ 10x + 15y ≥ 900

Thus, the required inequality that models the given situation is 10x + 15y ≥ 900.

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Answer: 6 feet long

Step-by-step explanation:

1ft. = 12 in

62 inches = 5 feet and 2 inches

Break down 62 into 60 and 2

60 divided by 12 = 5 (12x5=60)

60in. = 5ft.

2in. = 2in.

5ft. and 2in.

10in.= 10in.

Add the inches

10in. + 2 in. = 12 in.

12in.= 1ft.

5ft. + 1ft. = 6ft.

Answer: Nancy’s rope is 6ft. long

Answer:

59

Step-by-step explanation:

6 plus 4 equals 8 plus 9

Answer:

-13

Step-by-step explanation:

-4-3(3)

-4-9 = -13