A. PRIVATE COLLEGE IN 2003, THE TUITION COST $16,500 PER YEAR. IN THE YEAR 2021, THE TUITION COST IS NOW $17,300 PER YEAR. WHAT WAS THE PERCENT INCREASE?B. I JUST BOUGHT A NEW COMPUTER FOR $1908.00, INCLUDING 6% SALES TAX. WHAT WAS THE ORIGINAL PRICE OF THE COMPUTER BEFORE THE 6% SALES TAX WAS ADDED

The answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

What is median and mean of data set?

The measure of central tendency that is most frequently used is the mean. The average of the specified set of data is what it actually reflects. Both continuous and discrete data types can use it. It is determined by dividing the total number of values in the data collection by the total sum of all the values.

In most cases, the median shows the midpoint of the supplied set of data when it is presented in a specific order.

Here the given data set is 48,16,8,6,37,20.

To find median , we need  rearrange then into ascending order then,

=> 6,8,16,20,37,48.

Here mid point of the data set is 16 and 20. Then,

=> \(\frac{16+20}{2}\)

=> \(\frac{36}{2}\)

=> 18.

Now to find mean of the data set we need to add all data and divide them by number of data, Then

=> \(\frac{48+16+8+6+37+20}{6}\)

=> \(\frac{135}{6}\)

=> 2.25

Now the data set is not symmetrical because it is skewed left.

Hence the answers are,

A) The median is 18.

B) The mean is 2.25.

C) The data set is not symmetrical because it is skewed left.

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Answer:

tite ko malaki hahahhahhaahhaahahahahhaahjjaahahaahahahhah

Step-by-step explanation:

12345

Answer:

A. Total=520 loaves

B. Estimate= 180 rolls

Step-by-step explanation:

The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

A: $100 + $70h = Cost

B: $590

Step-by-step explanation:

A: you can combine the use rate and the driver rate together since they both have the save variable.

B: $100 + $70 (7) = Cost

$100 + $490 = Cost

$590 = Cost

Answer:

a plus b equals 9923

Step-by-step explanation:

it is given that,

AB = CD

and,

m

As the alternate angles are equal so,

AD will be parallel to BC,

the area two triangles,

ADC and ABC,

AB = CD ..... given

mAC = AC ...... common side between the triangles,

so, by rule of SAS ( side - angle - side)

thus, the given triangles are congruent.

i have solved your problem in the answer tab.

if you have any doubt with this solution then let me know.

Answer:

120

Step-by-step explanation:

12 and 40

Multiples of 12 = 12,24,36,48,60,72784,96,108,120..

Multiples of 40 = 40,80,120..

Common in both = 120

Answer:

120

Explanation:

The least common multiple (LCM) of two or more whole numbers is the smallest whole number that is divisible by each of those numbers. Basically, the LCM is the smallest number that all the numbers divide into evenly. So for 12 and 40, we get 120 since 120 ÷ 12 = 10, 120 ÷ 40 = 30

The following form has two parallel sides, and, in accordance with the provided assertion, its area is 21 cm².

Area is the entire amount of space occupied by a flattened (2-D) surface or form of an item. The area of a planar figure is the space that its perimeter encloses. The quantity of unit rectangles that completely encircle a closed figure's surface is its area. Square units such as cm² and m² are used to measure area.

The ratio will also be 1/2 * (bases 1 + base 2) * length since it is a trapezium.

So, 1/2 * ( 9+5) * 3

   = 1/2 * 14 * 3

   =  1/2 * 42

   =  21 cm²

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We will conduct a one-sample t-test to determine if the mean length of the particular size of dress is significantly different from 29 inches.

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We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.005 level of significance that the mean length of the particular size of the dress is found to be significantly longer or shorter than 29 inches and the machines must be adjusted.

What is the null hypothesis?

The null hypothesis is the assertion that there is no association between the two sets of data or variables being investigated in a scientific study. The term "null" refers to the idea that any empirically observed difference is entirely attributable to chance and that no underlying causal relationship exists.

Here, we have

Given: A children's clothing company sells hand-smocked dresses for girls. The length of one particular size of the dress is designed to be 29 inches. The most recent simple random sample of 22 dresses had a mean length of 31.53 inches with a standard deviation of 8.24 inches.

We will conduct a one-sample t-test to determine if the mean length of the particular size of the dress is significantly different from 29 inches.

In the null hypothesis, the mean length of the particular size of the dress is equal to 29 inches.

In the alternative hypothesis, the mean length of the particular size of the dress is significantly longer or shorter than 29 inches.

We will use a 0.005 level of significance, which corresponds to a critical value of ±2.807 for a two-tailed test with 21 degrees of freedom.

Our test statistic is: t = (31.53 - 29) / (8.24 / sqrt(22)) = 1.774

Since our test statistic (1.774) is not greater than the critical value (2.807) or less than the negative of the critical value (-2.807), we fail to reject the null hypothesis.

Hence, We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.005 level of significance that the mean length of the particular size of the dress is found to be significantly longer or shorter than 29 inches and the machines must be adjusted.

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Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Step-by-step explanation:

C = cost of a composition book; 5 composition books purchased

T = total amount spent < $26

M = cost of magazine = $4

T = M + 5C < $26

$4 + 5C < $26

The problem statement did not ask for a solution, but here it is:

$4 + 5C < $26 ⇒ 5C < $22 ⇒ C < $4.40

Cost of a composition book < $4.40

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

∠3

∠4

∠KVM

∠KVL

∠LVM

Step-by-step explanation:

The vertex of an angle are the corners of the angle that form a "V". Given that information, we know that angles 3 and 4 have the vertex of V, while the others have v as a vertex [of their own] in that scenario.

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

Answer:

should be complementary angles

Answer:

F(x)1/3x-7

Step-by-step explanation:

f(x)=(x-21)x1/

=/x-21

The number of items Shelby will donate as a function of x is f(x)=x-21.

A function assigns the value of each element of one set to the other specific element of another set.

A function from a set X to a set Y allocates precisely one element of Y to each element of X. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Given that Shelby has x number of clothing items on her bed. She will hang 21 of the items in her closet and will drop off of the remaining items to a local donation center. Therefore, we can write,

Total number of clothes = x

Number of clothes she will keep in her closet = 21

Now, the function can be written as,

Function(x) = Number of items Shelby will donate

f(x) = x - 21

Hence, the number of items Shelby will donate as a function of x is f(x)=x-21.

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Answer:

It is 3

•°•°•°

Math is poop

can you show a picture of the symbols

Answer: 0.35

Step-by-step explanation:

Times 7 = 2. 45kg

we want that time to be less than equation or equal to 5 minutes start text, m, i, n, u, t, e, s, end text. therefore: 1\(5minutes\)

Rate for ZZZ Zambonis × Time ≤ 5 minutes

Time ≤ 5 minutes/Rate for ZZZ Zambonis

To solve for the time needed to resurface one rink, we first need to set up an equation. We know that the number of rinks resurfaced by ZZZ Zambonis is equal to the rate for ZZZ Zambonis multiplied by the time. We want the time for 1 rink to be less than or equal to 5 minutes, so we need to solve for time in the equation. We can do this by dividing both sides of the equation by the rate for ZZZ Zambonis, resulting in the equation Time ≤ 5 minutes/Rate for ZZZ Zambonis. This equation gives us the maximum time needed to resurface one rink.

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer: 6

Step-by-step explanation:

The exponential function will be equal to y = 20ˣ.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Carter shared his post with 10 friends, who each share with only 2 people each day.

The exponential function will be written as,

y = abˣ

y = 10(2)ˣ

y = 20ˣ

Therefore, the exponential function will be equal to y = 20ˣ.

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Answer:

f(x) = 10(2)^x

Step-by-step explanation:

Rule for solving: The first number is the first part of the equation, and the second number is in parenthesis.

Answer:

i think its C

Step-by-step explanation:

Answer:

C. 43.00

Step-by-step explanation:

If we add up the amount she paid for shirts we would get 35, then we subtract 78 by 35 to get our answer.

Treatment remains the same. Do not Reject.

Test Statistics:

\(f = \frac{\text{treatment}}{\text{error}} = 5.37\)

Reject Null Hypothesis if \(f > f(a, a-1, N-a)\)

Critical Value \(f(0.01, 3, 15) = 5.42 \text{ (From F Table)}\)

\(\because 5.37 < 5.417\)

We fail to Reject \(H0\)

\(\therefore\) Do not Reject.

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Answer:

29.85

Step-by-step explanation:

since a kilogram i 1000 grams and he is putting 2 kilos in each box he can only fill 3 boxes.

The area of the triangle FGH is equal to  13√10 unit²

Given that the vertices;

F(-5,-7), G(-2,-5), and H(-6,-2)

We have to find the area of the triangle as;

Area of triangle = 1/2bh²

Here,

Area of triangle FGH = 1/2 (GH) (FG)²

Now,

Length of FG =  √26

Length of GH =  √10

Then,

Area of triangle FGH = 1/2 (GH) (FG)²

Area of triangle = 1/2 × √10 × √26²

Area of triangle = 1/2 × √10 × 26

Area of triangle FGH = 13√10

Therefore,

The area of the triangle FGH = 13√10 unit²

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