A survey asked 3, 800 students how they are likely
to spend their money. The original results of the
survey are shown.
Category
Food
Drinks
Clothing
Shoes
Accessories
Video
Games
Electronics
Personal
Care
Other
Number of
Students
967
895
816
455
59
143
237
105
123
Complete the statement.
Based on the results of the survey, a circle graph
would have [DROP DOWN 1] sectors that are labeled
as 10% or less and [DROP DOWN 21 sectors that are are labeled as
or less and [DROP DOWN 2] sectors that are labeled as
or more.

a university student is selecting courses for his next semester. he can choose from humanities courses and science courses. the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To determine the number of ways a university student can choose courses for the next semester with a requirement of at least "r" humanities courses, we can use combinatorial techniques.

Let's assume there are "n" total courses available, "h" of which are humanities courses, and "s" of which are science courses.

The student needs to select "r" or more humanities courses. We can calculate the number of ways to choose "r" or more humanities courses by summing the combinations for "r" to "h" humanities courses.

The formula to calculate the number of ways to choose "k" items from a set of "n" items is given by the combination formula: C(n, k) = n! / (k! * (n - k)!)

Using this formula, the calculation for the number of ways to choose "r" or more humanities courses can be expressed as:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

Now, let's substitute the values and calculate the number of ways:

Number of ways = C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

In conclusion, the number of ways the university student can choose courses, with a requirement of at least "r" humanities courses, is obtained by summing the combinations for "r" to "h" humanities courses using the combination formula.

the number of ways in which he can  choose courses if or more must be humanities courses can be found using combinations

C(h, r) + C(h, r+1) + C(h, r+2) + ... + C(h, h)

To know more about combinations , visit

https://brainly.com/question/28065038

#SPJ11

Answer:

(-2,4)

Step-by-step explanation:

If you have a scientific calculator, go to the Y= button at the top left. Put your equation into the calculator. Next, Press the buttons 2nd and then Graph (which will be labeled "TABLE" in blue ontop of the button 'Graph'). You can check all your answers on the table. (-2,4) is the only valid answer because on the table, the x-value is 2 and the y-value is 4. When you look at the ordered pairs on your calculator, your y-value are all fractions.

Hope this helped! Let me know in the comments if you got it right or not.

(-2,4)

apparently only one seems to be correct.

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value,b) Customs duties in these three cases are typically calculated based on the customs value of the imported goods.

a) The basic element for calculating the customs value in importation by sea, air, and road is the transaction value. The transaction value is the price actually paid or payable for the imported goods, which typically includes the cost of the goods themselves, any assists (such as packaging or materials provided by the buyer), royalties, license fees, and any other payments made as a condition of sale.

b) To calculate customs duties in these cases, the customs value is used as the basis. The customs value includes the transaction value and certain adjustments, such as the cost of transportation to the place of importation, loading, unloading, and handling charges incurred in transporting the goods to the importing country, as well as the cost of insurance. These adjustments are necessary to determine the value of the goods at the time and place of importation.

Once the customs value is determined, customs duties are applied to this value based on the applicable tariff rates or preferential trade agreements. Customs duties are typically calculated as a percentage of the customs value, although specific duty rates or other calculation methods may also be used depending on the nature of the imported goods and the relevant customs regulations of the country.

Learn more about percentage here:

https://brainly.com/question/11855598

#SPJ11

To form a triangle, the set of line segments must satisfy the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. Therefore, we need to check if the given line segments 8 cm, 4 cm, and 3 cm meet this requirement.

We can start by checking if the sum of the two smaller sides (3 cm and 4 cm) is greater than the largest side (8 cm). 3 cm + 4 cm = 7 cm, which is less than 8 cm. Therefore, these three line segments cannot form a triangle.

In general, for a set of line segments to form a triangle, the largest side must be smaller than the sum of the other two sides. In this case, the line segment of 8 cm is too long compared to the other two sides, which makes it impossible to form a triangle.

In conclusion, there are no line segments that meet the requirements to form a triangle with lengths of 8 cm, 4 cm, and 3 cm.

learn more about the inequality theorem here: brainly.com/question/1163433

#SPJ11

Answer:

C

Step-by-step explanation:

First, let us clarify what (11, 0) represent

(x, y) ---> (11, 0)

The values are as followed:

x = 11

y = 0

If the problem states that x is the number of days after the promotion started, then it will be 11 days.

When we assert that it has been 11 days, we rule answers A and D.

If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.

Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.

The measure of angle C for the given triangle using cosine law will be 53.8°.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

The ∠A will be the opposite of a. Therefore, sides a and b will be adjacent to ∠C.

By cosine law,

cos∠C = (a² + b² - c²)/(2ab)

cos∠C = (26² + 16.1² - 21²)/(2×26×16.1)

cos∠C = (935.21-441)/837.2

cos∠C = 0.590312947

∠C = 53.82°

Hence "The measure of angle C for the given triangle using cosine law will be 53.8°".

For more about triangles,

https://brainly.com/question/2773823

#SPJ1

Answer:

3872

Step-by-step explanation:

10,000 - 6,128 = 3872

use calculator man

Answer:

The volume is 416

Brainly me or heart if this helped

Answer:

volume of cylinder =π r^2 h

Step-by-step explanation:

Volume is proportional to square of radius and linearly proportional to height of cylinder. if h kept constant radius is doubled volume increases by 2^2 ie it becomes 4 fold. If radius trebled volume will be 9 times the original keeping h constant

if you keep h constant increase radius 4 times volume increases by 4 times only

v/πr^2h is constant =π like circumference/diameter =π

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

To know more about the unitary method, here

https://brainly.com/question/23423168

#SPJ4

The probability that the sample mean is between 7.8 and 8.2 is 0.3830

The time spent using email is normally distributed with µ = 8 min, σ = 2 min, and n = 25,

we have to find the probability that the sample mean is between 7.8 and 8.2.

Here, Mean (µ) = 8 min  

Standard deviation (σ) = 2 min

Sample size (n) = 25

We know that the distribution of the sample mean is also a normal distribution. The mean of the sample mean distribution is µ and the standard deviation of the sample mean distribution is

σ/√n = 2/√25

        = 2/5

        = 0.4.

The z-score is given by

z = (x - µ) / (σ/√n)

For the lower limit, the z-score is   z₁ = (7.8 - 8) / (0.4)

                                                              = -0.5

For the upper limit, the z-score is   z₂ = (8.2 - 8) / (0.4)

                                                               = 0.5

We have to find the probability that the sample mean is between 7.8 and 8.2. It can be represented as

P(7.8 < x < 8.2)

P(z₁ < z < z₂)

Substituting the values,

we get

P(-0.5 < z < 0.5)

Learn more about probability:

https://brainly.com/question/30390037

#SPJ11

Answer:

30 gallons,in the industry but it also depends on your water pressure

After solving the given equation we find out that the value of x = -2, y = 6.

To solve for x and y, we can use the method of elimination, also known as the addition method. The idea is to add the two equations together in a way that eliminates one of the variables. In this case, we can add the two equations as follows:

(4x + y) + (3x - y) = -2 + (-12)

Combining like terms, we get:

7x = -14

Dividing both sides by 7, we get:

x = -2

Now that we know x, we can substitute this value into either of the original equations to solve for y. Let's use the first equation:

4x + y = -2

Substituting x = -2, we get:

4(-2) + y = -2

Simplifying, we get:

-8 + y = -2

Adding 8 to both sides, we get:

y = 6

Therefore, the solution to the system of equations is:

x = -2, y = 6.

To learn more about equations click here

brainly.com/question/29538993

#SPJ1

Answer

7.59 x 10⁻⁷

Step-by-step explanation:

Step-by-step explanation:

your basically finding the area witch is b*h so for 3.(im not really sure so don't fully trust me on three lol) 6×8=48mm

then on 4. it's 10×13=130mi

Answer:

A. $6.16

Step-by-step explanation:

To calculate the amount of tax on Jacob's purchase, we first need to find the total cost of the coat and hat, and then apply the sales tax rate of 8% to that amount.

The cost of the coat is $62.75, and the cost of the hat is $14.25, so the total cost before tax is:

\(\implies \sf \$62.75 + \$14.25 = \$77.00\)

To calculate the amount of tax, we need to multiply the total cost by the tax rate of 8%:

\(\begin{aligned}\implies \sf \$77.00 \times\: 8\%&=\sf \$77.00 \times \dfrac{8}{100}\\&=\sf \$77.0 \times 0.08\\&=\sf \$6.16\end{aligned}\)

Therefore, the amount of tax on Jacob's purchase is $6.16.

Step-by-step explanation:

The property of translations on a coordinate plane, is pretty easy to remember, if you go up, you add to the y, if you go down, subtract from the y

If you go left, subtract from the x, if you go right, add to the x.

Example: State the number of moves the x and y variable in each vertex had to go through and what direction, (-100, 27) to (100,0)

Answer:

The x had to go through 200 moves to the right to add 200 onto the x

The y had to go through 27 moves to the left to subtract 27 from y.

Hope this helps!

The volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

Let the side length of a cube is 1unit.

Therefore length of all edges of the regular octahedron =2√2 unit .

Now the base of the pyramids is a square are will be (2√2)² =12 unit.

Now clearly the height of the pyramid is half the height of the cube, i.e.,1/2.

So volume of the Pyramid will be ⇒ 1/3× (Base area) × (height) = 1/3×1/2×1/2 = 1/12.

Therefore, the volume of the octahedron= 2 × volume of Pyramid= 2 ×1/12=1/6 unit³.

Hence, the volume of octahedron when centers of adjacent faces of a unit cube are connected to form a regular octahedron is 1/16 unit ³.

To understand more about geometry refer -https://brainly.com/question/24375372#SPJ4

1. The maximum and the minimum number of guests that Trevor and Michael should host at the banquet are 18 and 14, respectively.

2. The minimum number of tables that Trevor and Michael will need for the banquet is 2.

We can employ the mathematical operations of addition, multiplication, division, and subtraction to determine the numbers.

Since the budget is limited to $450 or less, we can compute the maximum and the minimum number of guests for the event, using division operation.

Total budget for the banquet = $400 ± $50

Cost per guest = $25

Maximum number of guests to expect = 18 ($450/$25)

Minimum number of guests to expect = 14 ($350/$25)

The number of guests a table can accommodate = 7

The minimum number of tables to use for the banquet = 2 (14/7)

The maximum number of tables to use = 3 (18/7)

Thus, using division operation, Trevor and Michael should expect to host between 14 and 18 guests at the banquet.

Learn more about mathematical operations at https://brainly.com/question/20628271

#SPJ1

Answer:

25°, 65°, and 90°

Step-by-step explanation:

To form a triangle the 3 angles must sum to 180 degrees.

Using the slope concept, it is found that the change in elevation was of -699 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem, we have that:

Hence:

tan(-4º) = h/10000

h = 10000 x tan(-4º)

h = -699.

More can be learned about the slope concept at https://brainly.com/question/18090623

#SPJ1

Answer:

.33333 or rounded .33

Step-by-step explanation:

There are 4 months that end in an r

This means that 1 third of the months end in r or .33

Aarav sells 2 vases at the craft fair if he has $45 left at the end of the day

To answer this question, we will use the equation below to solve for the number of vases that Aarav sells.

The cost of each vase sold plus the cost of art supplies is equal to the money that Aarav has left, which is $45.

So the equation that we need to solve is:

$9x + $27 = $45

where x is the number of vases that Aarav sells.

To solve for x, we need to isolate it on one side of the equation.

We can do this by subtracting $27 from both sides:

$9x + $27 - $27 = $45 - $27$9x = $18

Now, we can solve for x by dividing both sides by 9:

$x = 2

Therefore, Aarav sells 2 vases at the craft fair.

To know more about craft fair refer here:

https://brainly.com/question/14938383

#SPJ11

Based on this exhibit, a high school student is required to determine whether the proportion of the population in favor of candidate A is significantly option (b) or (c) greater than 80% or 75% at a 0.05 level of significance.

In statistical analysis, determining the proportion of a population in favor of a candidate or an idea is crucial in predicting election outcomes or measuring public opinion. Exhibit 9-6 presents statistical data on the proportion of the population in favor of candidate A

To answer this question, we need to conduct a hypothesis test and calculate the p-value. The null hypothesis (H0) states that the proportion of the population in favor of candidate A is equal to or less than the given proportion, while the alternative hypothesis (Ha) states that the proportion is greater than the given proportion. Therefore, the hypotheses can be stated as follows:

H0 => p ≤ 0.80 or p ≤ 0.75

H1 => p > 0.80 or p > 0.75

We then calculate the test statistic, which is the z-score. This can be done using the formula:

z = (p - p₀) / √(p₀(1-p₀)/n)

where p is the sample proportion, p₀ is the given proportion, and n is the sample size.

Next, we calculate the p-value, which is the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true. Since this is a one-tailed test, we use the standard normal distribution table and look up the area to the right of the calculated z-score. The p-value is the probability of getting a z-score as extreme or more extreme than the calculated one. If the p-value is less than the level of significance, we reject the null hypothesis and conclude that the alternative hypothesis is true.

To know more about proportion here.

https://brainly.com/question/30657439

#SPJ4

Answer:

=1/26

Step-by-step explanation:

In a 52 card deck there are 2 red 8's ( hearts and diamonds)

P(red 8) = number of red 8's / total

             =2/52

             =1/26

To fill in each blank so that the values are in order from smallest to largest, we have;

4° , 1⁴ = 4, 2² , 3³ , 4³ , 2⁹

We need to know that index forms are defined as mathematical forms used to represent numbers or variables that are too large or too small in more convenient forms.

These index forms are also known as scientific notation or standard forms.

Some examples of index forms are;

3²

4³

2³

From the information given, we have that;

To arrange the numbers;

4° = 1

1⁴ = 4

2² = 4

3³ = 27

4³ = 64

2⁹ = 512

Learn more about index forms at: https://brainly.com/question/15361818

#SPJ1

Answer:

67 inches

Step-by-step explanation:

Therefore, the money was in the account for 8 years.

Given that DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year and he earned $4485 in interest before closing the account.

No money was deposited into or withdrawn from the account.

We need to find how many years was the money in the account.

Let the number of years be n.

We know that:

Simple interest, S = P × r × t

Where P is the principal, r is the rate of interest per year and t is the time in years.

So, S = P × r × tn = S / (P × r)

Substituting the given values, we get

n = 4485 / (6500 × 11.5 / 100)

n = 7.56 years

The time in the account was 7.56 years (approximately)

Rounding off to the nearest whole year, we get the time as 8 years.

Therefore, the money was in the account for 8 years.

To know more about simple interest, visit:

https://brainly.com/question/30964674

The money was in the account for 5 years. Rounding the answer to the nearest whole year, we get the answer as: 5 years.

DeShawn deposited $6500 into a bank account that earned 11.5% simple interest each year.

He earned $4485 in interest before closing the account.

No money was deposited into or withdrawn from the account.

We want to find out how many years the money was in the account and the formula to calculate simple interest is given as:

Simple Interest = Principal × Rate × Time (in years)

Where

Principal is $6500

Rate is 11.5%

Time is unknown

Let's calculate the unknown variable.

Time = Simple Interest ÷ (Principal × Rate)

Substituting the known values,

we get:

Time = $4485 ÷ ($6500 × 0.115)

Time = 5

Therefore, the money was in the account for 5 years.

Rounding the answer to the nearest whole year, we get the answer as: 5 years.

To know more about simple interest, visit:

https://brainly.com/question/30964674

#SPJ11

Answer:

59

Step-by-step explanation:

pls don't take my word as a final answer pls if u can do some more research