In order to calculate the final price after a 33% discount, we can just multiply the initial value by 100% - 33% = 67%, that is, 0.67.
So we have:
\(327\cdot0.67=219.09\)So the value after the discount is $219.09.
The value of the discount is:
\(327\cdot0.33=107.91\)Any has 10 pieces of fruit. 7 are apples and the rest are oranges.
She chooses a piece of fruit at random eats it then chooses a second piece of fruit at random
Please draw this
The fraction which should go into the boxes marked A and B in their simplest form is 3/4 and 1/4 respectively.
What fraction should go into the boxes?Total number of fruits Amy has = 10
Number of Apples = 7
Number of Oranges = 3
First random pieces of fruits chosen:
Probability of choosing Apples = 6/9
Probability of choosing Oranges = 3/9
Second random pieces of fruits chosen:
Probability of choosing Apples = 6/8
= 3/4
Probability of choosing Oranges = 2/8
= 1/4
Therefore, the probability of choosing Apples or oranges as the second piece is 3/4 or 1/4 respectively.
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the data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. find the test value to test linear correlation.
The test value to test linear correlation between the number of absences and the final grades is -0.729, which indicates a moderately strong negative correlation between the two variables.
Using the formula for the correlation coefficient, we can calculate the test value to test linear correlation as follows
First, we need to calculate the mean of x and y
mean(x) = (0+3+6+4+9+2+15+8+5)/9 = 6.22
mean(y) = (98+86+80+82+71+92+55+76+82)/9 = 79.67
Next, we need to calculate the deviations from the means:
deviations from mean of x: -6.22, -3.22, -0.22, -2.22, 2.78, -4.22, 8.78, 1.78, -1.22
deviations from mean of y: 18.33, 6.33, 0.33, 2.33, -8.67, 12.33, -24.67, -3.67, 2.33
Then, we need to calculate the product of deviations
product of deviations: (-6.22)(18.33), (-3.22)(6.33), (-0.22)(0.33), (-2.22)(2.33), (2.78)(-8.67), (-4.22)(12.33), (8.78)(-24.67), (1.78)(-3.67), (-1.22)(2.33)
Summing the products of deviations gives
Σ(xy) = -221.04
Next, we need to calculate the sum of squares of deviations
Σ(x²) = 325.56
Σ(y²) = 20334.67
Then, we can plug these values into the formula for the correlation coefficient
r = Σ(xy) / √(Σ(x²) Σ(y²)) = -221.04 / √(325.56 * 20334.67) ≈ -0.729
Therefore, the test value to test linear correlation is -0.729.
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--The given question is incomplete, the complete question is given below "the data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. find the test value to test linear correlation.
Number of absences, x 0 3 6 4 9 2 15 8 5
Final grade, y 98 86 80 82 71 92 55 76 82 "--
The freezing point of water, T (measured in degrees Fahrenheit), at altitude a (measured in feet) is modeled by the function Tla) = .0001a + 32. In terms
of altitude and temperature, which statement describes the meaning of the slope?
A.)The freezing point decreases by 1 degree as the altitude increases by 10,000 feet.
B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet.
C.) The freezing point decreases by 10 degrees as the altitude increases by 10,000 feet.
D.) The freezing point increases by 10 degrees as the altitude increases by 10,000 feet.
Answer:
The correct option is;
B.) The freezing point increases by 1 degree as the altitude increases by 10,000 feet
Step-by-step explanation:
Given that the function that gives the freezing point temperature is T(a) = 0.0001·a + 32, we have;
Given that the coefficient of the straight line equation is positive, the freezing point varies positively (proportionately) with the increase in the altitude, that is as the altitude increases, the freezing point increases.
At 10,000 feet, a = 10,000, T(a) = T(10,000) = 0.0001×10,000 + 32 = 1 + 32 = 33
Therefore, the freezing point temperature increases by 1 degree for each rise (increase) in altitude of 10,000 feet.
PLEASE HELP I WILL BRAINLIEST, MY GPA RELIES ON THIS!! IM BEGGING HERE
1. The base of the prism is a trapezoid whose bases are 24 cm and 10 cm, and the shorter ones are 13 cm and 15 cm. Calculate the area and volume of the prism if its height is equal to the height of the trapezoid?
Step-by-step explanation:
it's so much work, here's the first half untill i do the rest
i added the rest, i hope i helped somehow good luck!! :)
A rectangular prism has a length of 11 inches, a width of 2 inches, and a height of 3 inches. What is the volume of the prism?
Answer:
66 inch ^3
Step-by-step explanation:
The volume of a rectangular prism is LxWxH. So 11x2x3= 66 inches.
Chen completed the division problem below.
0.9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol right arrow 9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol minus 18 = 12. 12 minus 9 = 36. 36 minus 36 = a remainder of 0 and a quotient of 21.4.
What is Chen’s error?
He included a 4 in the quotient, which does not belong.
He multiplied the dividend by 100 instead of 10.
He should have multiplied both numbers by 100.
He did not subtract correctly in one of the steps.
Answer:
he included four and does not belong in the quotient
Step-by-step explanation:
i took the test ;)
Suppose that there are two types of tickets to a show advance and same day the combined cost of one advance ticket and one same-day ticket is $70 for one performance 20 advance tickets and 35 same day tickets were sold.The total amount paid for the tickets was $1850.what was the price of each kind of ticket
The price of the advance ticket is $40 and the price of the same day tickets is $30.
What are the linear equations that reperesent the question?a + b = $70 equation 1
20a + 35b = 1850 equation 2
Where:
a = cost of one advance ticket
b = cost of one same day ticket
What is the cost of one same day ticket?
Multiply equation 1 by 20
20a + 20b = 1400 equation 3
Subtract equation 3 from equation 2
15b = 450
Divide both sides by 15
b = $30
What is the cost advance ticket?
Subtract $30 from $70.
$70 - $30 = $40
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the avis company is a car rental company and is located three miles from the los angeles airport (lax). avis is dispatching a bus from its offices to the airport every 4 minutes. the average traveling time (a round trip) is 24 minutes. how many avis buses are traveling to and from the airport? note: round your answer to the nearest whole number.
The number of Avis buses travelling to and from the airport as per given time is equal to 6 buses per hour.
Average traveling time for a round trip is 24 minutes
To determine how many Avis buses are traveling to and from the airport.
Number of round trips a single bus can make in an hour.
A single bus can make,
24 minutes = 1 round trip
⇒ 1 minutes = ( 1/24 ) round trip
⇒ 60 minutes = 60/24
⇒ 1 hour = 2.5 round trips
Number of buses Avis needs to dispatch in order to maintain a bus arrival frequency of every 4 minutes.
Avis needs to dispatch,
4 minutes = 1 bus
⇒ 1 minute = ( 1/4) bus
⇒ 60 minutes = ( 60/ 4) buses
= 15 buses per hour.
Total number of buses needed
= number of buses per hour / (number of round trips a single bus can make in an hour)
= 15 buses per hour / 2.5 round trips per bus per hour
= 6 buses.
Therefore, Avis needs 6 buses to maintain a bus arrival frequency of every 4 minutes for its shuttle service between the LAX airport and its offices.
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At an amusement park there are 2 rides. the lightning bolt starts at a elevation of 15ft. from the platform and speeds the passengers to an elevation of 327 ft. The highest loop on the twirl mater is 295 ft and the lowest tunnel goes 21 ft underground. which ride ha the greatest elevation and how much is the change in elevation?
a) Lightning bolt : 312 ft
b) Lightning bolt : 327
C) Twirl Master : 274
d) Twirl Master : 316
The ride that has the greatest elevation based on the information is B. Lightning bolt : 327 feet.
How to illustrate the information?The term elevation is typically used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.
Elevations show how your house will appear from various perspectives. Regarding these particular angles, there are many elevation kinds. Some varieties include split elevations, rear elevations, side elevations, and front elevations.
From the information, it was stated that the lightning bolt starts at an elevation of 15ft from the platform and speeds the passengers to an elevation of 327 ft.
It should be noted that the information is to simply find the elevation that is the greatest.
Based on the figures given, the appropriate elevation will be 327 feet.
Therefore, the correct option is B.
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consider the fixed proportions case where u(x,y)=min[x,y]
In this case, the proportionality between x and y is fixed and can be proven mathematically.
In the fixed proportions case with the utility function u(x, y) = min[x, y], the consumer aims to consume goods x and y in equal proportions to maximize their utility. To prove this, consider the following:
1. If x > y, the utility function will yield u(x, y) = min[x, y] = y. In this case, the consumer can benefit from allocating more resources to consuming good y to balance the proportions and increase utility.
2. If x < y, the utility function will yield u(x, y) = min[x, y] = x. Similar to the previous case, the consumer can benefit from allocating more resources to consuming good x to balance the proportions and increase utility.
3. If x = y, the utility function will yield u(x, y) = min[x, y] = x = y. In this case, the consumer has achieved the optimal consumption of goods x and y in equal proportions, maximizing their utility.
Therefore, in the fixed proportions case with u(x, y) = min[x, y], the consumer maximizes utility by consuming goods x and y in equal proportions.
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Correct question:
How can it be mathematically proven that a consumer, in a fixed proportions case with utility function u(x, y) = min[x, y], aims to consume goods x and y in equal proportions to maximize their utility? Can you explain the logic behind this statement and provide a step-by-step explanation of the proof?
given a fixed point and a fixed line, a parabola consists of all points that are equidistant to the fixed point and the fixed line. t or f
True, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line.
As given in the question,
Given statement is: Parabola consist of set of all the points which are equidistant from fixed point and fixed line.
The set of all the points which are lie on the trajectory of parabola are equidistant from a fixed point and the fixed line.Fixed point is known as the focus or focal point of parabola.Fixed line is called the directrix of the parabola.Equation of a parabola is: y = a(x-h)² + k or x = a(y-k)² +h, where (h, k) are the vertex of the parabola.Standard equation of a parabola is given by y² = 4ax.Therefore, parabola consists of all the set of points that are equidistant from the fixed point and the fixed line is a true statement.
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the process of assigning numbers to represent quantities of an attribute is called
The process of assigning numbers to represent quantities of an attribute is called measurement.
Measurement involves the assignment of numerical values to describe or quantify different attributes or characteristics of objects, events, or phenomena.
It provides a systematic way to capture and represent information about the quantity or extent of an attribute, allowing for meaningful comparisons, analysis, and communication of data.
The process of measurement typically involves the following steps:
a. Defining the attribute or characteristic to be measured.
b. Selecting an appropriate measurement scale or level (e.g., nominal, ordinal, interval, ratio) based on the nature of the attribute.
c. Choosing a measurement instrument or method that enables the collection of relevant data.
d. Assigning numerical values or scores to the measured attribute based on predefined rules or criteria.
e. Analyzing and interpreting the measurement data to gain insights or draw conclusions about the attribute being measured.
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Help plz..And No links!! I repeat No links!!
Answer:54 is the54 d
Step-by-step explanation:
no sorry
Haley’s work evaluating (Negative 2) Superscript 8 is shown below.
(Negative 2) Superscript 8 = (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) (negative 2) = negative 256
Which statement best describe Haley’s first error?
She used the wrong number as a repeated factor and should have evaluatedNegative 2 times 2 times 2 times 2 times 2 times 2 times 2 times 2.
She used the wrong number as a repeated factor and should have evaluated Negative (8 times 8).
She misinterpreted the exponential form and should have multiplied –2 and 8.
She made a sign error when multiplying and should have had 256 as a final answer.
Step-by-step explanation:
She made a sign error when multiplying and should have had 256 as a final answer.
Answer:
It is d
Step-by-step explanation:
Please mark brainliest
Mrs sevi bought 12 mangoes and apples. Each mango cost $2.40. Each apple cost $0.60. The total cost of the mangoes is$7.80 more than the total cost of apples. How many mangoes did mrs sevi buy?
Answer:
12
Step-by-step explanation:
they it says it
¨Mrs sevi bought 12 mangoes and apples.¨
A box of cereal can be purchased in the large size, which is 15 ounces for $3.34, or the family size, which is 24 ounces for $5.14. which size box of cereal has the lowest price per ounce, and what is the amount?
The family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.
To compare the box of cereal price we need to know the price per ounce first. It can be written as
Price per ounce = price / total ounces
From the text above, we know that :
large size price = $3.34
large size ounces = 15
family size price = $5.14
family size ounces = 24
By substituting the parameter we can get the price per ounce of large size and family size
Large size
Price per ounce = price / total ounces
Price per ounce = 3.34 / 15
Price per ounce = $0.22 / ounce
Family size
Price per ounce = price / total ounces
Price per ounce = 5.14 / 24
Price per ounce = $0.21 / ounce
Hence, the family size has the lowest price compared to the family price per ounce which the amount is $0.21 / ounce.
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Find the median of first 15 odd numbers 
Answer:
15
Step-by-step explanation:
The first 15 odd numbers are: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29
The formula to find the median of a set of numbers is:
Median = [(n + 1) / 2]th term
where n is the total number of terms in the set.
In this case, we have 15 terms in the set of the first 15 odd numbers. So, substituting n = 15 in the formula, we get:
Median = [(15 + 1) / 2]th term
Median = 8th term
To find the 8th term, we can simply list the first 15 odd numbers in ascending order and count 8 numbers from the beginning of the list. The 8th term is 15.
Therefore, using the formula, we get:
Median = 8th term = 15.
So, the median of the first 15 odd numbers is 15.
A code ue for 1 for A, 2 for B, 3 for C and o on upto 26 for Z. Coded word are written without pace to confue the enemy o 18 could be AH or R. Decode the following meage
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
The code provided indicates that each number corresponds to a letter in the alphabet. Since 1 is A, 2 is B, and so on, the code 1814151418 would decode as RADE. This is an example of a simple substitution cipher, a type of encryption where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which in this case is the code that maps each letter to a number. Knowing this, it is a simple task to decode any message that has been encrypted with this code.
The code 1814151418 decodes to RADE using a simple substitution cipher, where each letter is replaced with a different letter or number. To decipher the message, one must know the key, which is the code that maps each letter to a number
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A reaction with a calculated yield of 9.23 g produced 7.89 g of product. What is thepercent yield for this reaction?
The required percentage yield for the reaction when theoretical yield and actual yield are given is calculated to be 85.5 %.
The maximum mass that can be generated when a particular reaction occurs is referred to as theoretical yield.
Theoretical yield is given as mt = 9.23 g
The actual amount of product recovered is given as ma = 7.89 g
We must comprehend that in order to calculate the reaction's percent yield, we must divide the total amount of product recovered by the utmost amount that can be recovered. If we multiply by 100%, we can represent this fraction as a percentage.
Percentage yield = ma/mt × 100 = 7.89/9.23 × 100 = 85.5 %
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Given the equation 8x=4Y +16 ,generate a plan to rewrite it in slope-intercept form WHICH VARIABLE DO YOU SOLVE FOR?
Answer:
you switch 8x and 4y by subtracting 8x to 4y + 16 and substracting 4y to 8x.
This gives you the equation -4y = -8x+16
Then you divide each side by -4
To give you your slope-intercept form which is y = 2x-4.
Answer:
person above is righttt
Step-by-step explanation:
if f(x) = x^2 + 4x - 12, find f(2) HELP PLEASE I NEED ANSWER ASAP WILL GIVE BRAINLIEST
Answer:
B)4
C)-20
D)-4
the answer is D -4
Step-by-step explanation:
you plug f(x) into 4x. y=4(2)-12 have a good day :)
Solve the following inequality:
- 4x + 14 = 54
the answer to this question is -10.
if i have decent grades, but miss a lot of school
will they fail me???
Answer:
I think it's no
Step-by-step explanation:
because you will study hard
Please help me with this question tygank you b rhg
The total area of the square pyramid in this problem is given as follows:
A = 27.06 in².
How to obtain the total area of the square pyramid?The square pyramid in this problem is a composite figure, hence the area of the pyramid is given by the sum of the areas of all the parts that compose the figure.
The figure in this problem is composed as follows:
Square of side length 4.1 in.Four triangles of base 4.1 in and height 5 in.Hence the total area of the square pyramid in this problem is given as follows:
A = (4.1)² + 0.5 x 5 x 4.1
A = 27.06 in².
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A rectangular container 6.5 ft long, 3.2 ft wide, and 2 ft high is filled with sand to a depth of 1.3 ft. How much sand is in the container?
I'll give thanks or mark as brainliest if you can figure out how much more sand the container can hold
There are 26.24 cubic feet of sand in the rectangular container based on volume.
We must determine the volume of sand in the rectangular container in order to determine how much is there.
Let's start by determining the container's volume:
Container volume equals length, width, and height
Container volume: 6.5 feet by 3.2 feet by two feet
Container volume is 41.6 cubic feet.
The amount of sand in the container's volume must then be determined. We can determine the volume of sand by using the following formula because it fills the container to a depth of 1.3 feet:
Sand volume is determined by its length, width, and depth.
Sand volume = 6.5 feet by 3.2 feet by 1.3 feet
Sand volume = 26.24 cubic feet
As a result, the container contains 26.24 cubic feet of sand.
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You track the temperature from the time you you eat your lunch to the time you go to bed. you find that it drops 2 decrease each other for 10 hours. which expression that shows the change in temperature?
Answer:
-2 times 10 or
-2*10
Answer:
they both are multiplucation Which means they both increse so ether the answers are wrong or the question its self is wrong.
The line ax+by+c = 0 passes through the points (2 ,3) and (8 , 15). Find the ratio a :b :c.
The ratio of a : b : c in the linear equation is 2 : -1 : -1
How to determine the ratio of a : b : c?From the question, we have the following equation that can be used in our computation:
ax + by + c = 0
The points on the line are given as
(2 ,3) and (8 , 15)
A linear equation is represented as
y = mx + c
Where
Slope = m
y-intercept = c
This means that
3 = 2m + c
15 = 8m + c
Subtract the equations
So, we have the following representation
6m = 12
Divide by 6
m = 2
Substitute m = 2 in 3 = 2m + c
3 = 2 * 2 + c
So, we have
c = -1
Substitute m = 2 and c = -1 in y = mx + c
y = 2x - 1
So, we have
2x - y - 1 = 0
Recall that
ax + by + c = 0
This means that
a : b : c = 2 : -1 : -1
Hence, the ratio is 2 : -1 : -1
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Class boundaries ensure that consecutive bars of a histogram touch.
Pilihan jawaban
True
False
False. A histogram's class borders make sure that adjacent bars never touch. The bars of the histogram are built using the class borders, which specify the intervals into which the data is divided.
Why class boundaries ensure that consecutive bars of a histogram do not touch?Each bar's height corresponds to the frequency of the data inside the relevant timeframe.
The intervals are separated by class borders, which means that the bars show the data within the intervals rather than the intervals themselves. This makes sure that the intervals are precisely defined and that the height of the bars appropriately reflects the data within the intervals. The data within the intervals would not be adequately displayed if the histogram's bars were permitted to touch.
When creating a histogram, it is crucial to pick the right class borders because these decisions might change the histogram's appearance and meaning. The histogram, for instance, may look smoothed if the class boundaries are too wide, and the detail of the data may be lost; conversely, if the class boundaries are too small, the histogram may appear jagged and the complexity of the data may be highlighted.
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A box is 10in. high, 20in. long, and 12in. wide. What is the longest poster you could fit in the box? Use pencil and paper. Explain why you can only fit one maximum-length poster in the box but you can fit multiple 22-in. posters in the same box.
The longest poster that can fit in the box must have dimensions of 10 inches (height) by 20 inches (length) by 12 inches (width).
To find the longest poster that can fit in the box, we need to determine the longest dimension of the box itself. Since the box is 10 inches high, the longest poster that can fit in the box must have a height of no more than 10 inches.
Now, we need to consider the other two dimensions of the box. The box is 20 inches long and 12 inches wide, so the longest poster that can fit in the box must have a length of no more than 20 inches and a width of no more than 12 inches.
As for why we can only fit one maximum-length poster in the box but we can fit multiple 22-inch posters in the same box, it's because the length and width of the box are larger than the length and width of the 22-inch poster.
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What is the value of x?
Answer:
A
Step-by-step explanation:
the total angles can only add up to 180°, therefore 35 + 70 = 105, 180 - 105 = 75°. 75° = A.