If quiz grades are normally distributed with a mean of 80. and a standard deviation of 7.0, what isthe probability that a student will have a quiz grade of 90. or greater?
The probability of a student having a quiz grade of 90 or greater is 7.4%.
Normal Distribution:The two characteristics feature of normality and symmetricity of a dataset makes calculations pertaining to research theory easier. Further, in a case where symmetricity is observed in data, normal distribution is assumed there as an appropriate probability distribution.
The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.
To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.
In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.
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Help plz show work I need to have all Aś this year Only do 18,20,24,22,28,26,30,32,
Answer: see below
Step-by-step explanation:
The "point" on the inequality symbol points to the smaller number
< is the "less than" inequality symbol> is the "greater than" inequality symbol= is the "equal" symbol18) 3 = 3
20) \(\sqrt6 < \sqrt{10}\)
22) 0.8 = 4/5 Note: 4÷5 is 0.8
26) 0.075 < 0.39
28) -5.2 < -4.8
30) 0.4 > \(\sqrt{0.4}\)
32) \(\sqrt5 < \sqrt7\)
At a concert, 20% of the people are wearing black dresses or suits, 1/4 are wearing navy, 0.35 are wearing brown, and the rest are wearing a variety of colors. (other). What percent are wearing “other”? Type in your answer using the decimal equivalent of this amount.
Answer: 20%
Step-by-step explanation:
20% black dresses or suits
.35 = 35% wearing brown
1/4 = 25% wearing navy
100% -20% - 35% - 25% = 20% left
Choose the function represented by the data a polynomial function is represented by the data in the table . 0 1 2 4 f(x) = x ^ 3 - x ^ 2 - 24; f(x) = (x ^ 3)/4 + 2x ^ 2 - 24; f(x); - 24 -14 3/3 * 3/4 24 - 21 3/4; f(x) = - 2 1/4 * x ^ 2 + 24; f(x) = 3/4 * x ^ 2 - 3x + 24
This is because the values of f(x) in the table match the corresponding values obtained by evaluating the polynomial function for the given input values of the function represented by the data a polynomial function is represented by the data is f(x) = x^3 - x^2 - 24.
A polynomial is an expression with more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. A polynomial function is a function that includes a polynomial expression with an independent variable (x) that can only take on integer values because of its discrete nature.
Choose the function represented by the data: The polynomial function represented by the data is f(x) = x^3 - x^2 - 24.
A table representing the function f(x) = x^3 - x^2 - 24 is shown below:
x | f(x)
0 | -24
1 | -14
2 | 0
4 | 40
Therefore, the function represented by the data is f(x) = x^3 - x^2 - 24.
The provided table displays the values of the function f(x) for different input values of x. By substituting the corresponding values of x into the function, we can observe the corresponding output values. This allows us to identify the pattern and equation that represents the function.
In this case, the table shows that when x is 0, the value of f(x) is -24. When x is 1, f(x) is -14. When x is 2, f(x) is 0. And when x is 4, f(x) is 40.
Based on these data points, we can conclude that the function represented by the data is f(x) = x^3 - x^2 - 24.
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We find that Option 2, f(x) = \((x^3)/4 + 2x^2 - 24\), matches the data given in the table.
Based on the data given in the table, we need to determine the polynomial function that represents the data.
To do this, we can compare the values of f(x) in the table with the given options for the polynomial functions. We are looking for a function that matches the given data points.
Let's evaluate each option using the x-values from the table:
Option 1: f(x) = \(x^3 - x^2 - 24\)
For x = 0,\(f(0) = 0^3 - 0^2 - 24 = -24\) (matches the data)
For x = 1, \(f(1) = 1^3 - 1^2 - 24 = -24 - 1 - 24 = -49\) (does not match the data)
For x = 2,\(f(2) = 2^3 - 2^2 - 24 = 8 - 4 - 24 = -20\) (does not match the data)
Option 2: \(f(x) = (x^3)/4 + 2x^2 - 24\)
For x = 0,\(f(0) = (0^3)/4 + 2(0^2) - 24 = 0 - 0 - 24 = -24\) (matches the data)
For x = 1,\(f(1) = (1^3)/4 + 2(1^2) - 24 = 1/4 + 2 - 24 = -20.75\)(does not match the data)
For x = 2, \(f(2) = (2^3)/4 + 2(2^2) - 24 = 8/4 + 8 - 24 = -14\)(matches the data)
Option 3: f(x) = -24 - 14(3/3)(3/4)
Simplifying, f(x) = -24 - 14(1)(3/4) = -24 - 14(3/4) = -24 - 10.5 = -34.5 (does not match the data)
Option 4: \(f(x) = -2 1/4 * x^2 + 24\)
For x = 0, \(f(0) = -2 1/4 * 0^2 + 24 = 24\) (does not match the data)
For x = 1,\(f(1) = -2 1/4 * 1^2 + 24 = -2 1/4 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = -2 1/4 * 2^2 + 24 = -2 1/4 * 4 + 24 = -9 + 24 = 15\) (does not match the data)
Option 5: \(f(x) = 3/4 * x^2 - 3x + 24\)
For x = 0, \(f(0) = 3/4 * 0^2 - 3(0) + 24 = 24\) (does not match the data)
For x = 1, \(f(1) = 3/4 * 1^2 - 3(1) + 24 = 3/4 - 3 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = 3/4 * 2^2 - 3(2) + 24 = 3/4 * 4 - 6 + 24 = 3 - 6 + 24 = 21\)(matches the data)
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which is the equation of a parabola with vertex (0,0) that opens to the left and has a focal width of 12? please select the best answer from the choices provided
Answer:
Mention any Two study routes(courses or program) that higher education could offer.
convert the hexadecimal expansion (A95E)16 to a decimal expansion.
The hexadecimal expansion \((A95E)_{16}\) is equal to the decimal expansion 43358. This conversion is achieved by assigning the positional values of each digit in the hexadecimal number and evaluating the corresponding decimal values.
To convert a hexadecimal number to decimal, we multiply each digit by the corresponding power of 16 and sum up the results. Starting from the rightmost digit, the value of A in hexadecimal is equivalent to 10 in decimal. The next digit 9 represents the value of 9 in decimal. Continuing in the same manner, the digit 5 represents 5 in decimal, and the final digit E is equal to 14 in decimal.
Now, we calculate the decimal equivalent using the formula:
\((10 * 16^3) + (9 * 16^2) + (5 * 16^1) + (14 * 16^0) = 43486\)
Therefore, the hexadecimal expansion \((A95E)_{16}\) is equal to 43486 in decimal.
In conclusion, the decimal equivalent of the given hexadecimal expansion is 43486.
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14. Describe the typical quiz scores of the students. Explain your choice of measure.
To describe the typical quiz scores of the students, a common measure used is the mean, or average, score. The mean is calculated by summing up all the scores and dividing by the total number of scores.
Given its simplicity and simplicity in interpretation, the mean was chosen as a proxy for normal quiz scores. It offers a solitary figure that encapsulates the scores' median. We can figure out the pupils' overall performance on the quiz scores by computing the mean.
It's crucial to keep in mind, though, that outliers or extremely high scores dividing might have an impact on the mean. The mean may not be an accurate representation of the normal results of the majority of students if there are a few students who severely underperform or do very well on the quizzes.
To get a more thorough picture of the distribution of quiz results in such circumstances, it might be beneficial to take into account additional metrics like the median or mode.
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An object is dropped from the top of the Statute of Liberty, which is 294 feet tall. How far is the object from the ground after 2.5 seconds if it is thrown downward from the top of the statute at an initial velocity of 65 ft./sec?
a. 11.5 feet from the ground.
b. 21.5 feet from the ground.
c. 31.5 feet from the ground.
d. 41.5 feet from the ground.
Answer:
D
Step-by-step explanation:
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a) Work out the size of angle x.
b) Give reasons for your answer.
Answer: 75
Step-by-step explanation:
180° - 105° = 75°. x = 75°
What is the area and uncertainty in area of one side of a rectangular wooden board that has a length of (21.4÷0.4)cm and a width of (9.8 ±0.1)cm ? (Give your answers in cm
2
) ( Gा x=mencm
2
(घV) x+1 cm
3
The area of one side of the rectangular wooden board is (209 ± 4.9) cm², taking into account the uncertainty.
To calculate the area of the rectangular wooden board, we multiply its length by its width. The length is given as (21.4 ÷ 0.4) cm, which simplifies to 53.5 cm. The width is given as (9.8 ± 0.1) cm, indicating that it could be as low as 9.7 cm or as high as 9.9 cm.
To find the minimum area, we multiply the minimum length by the minimum width: 53.5 cm × 9.7 cm = 518.95 cm².
To find the maximum area, we multiply the maximum length by the maximum width: 53.5 cm × 9.9 cm = 528.65 cm².
Therefore, the area of one side of the rectangular wooden board is between 518.95 cm² and 528.65 cm². Taking the average of these values, we get (518.95 cm² + 528.65 cm²) / 2 = 523.8 cm².
To calculate the uncertainty in the area, we take half of the difference between the maximum and minimum areas: (528.65 cm² - 518.95 cm²) / 2 = 4.9 cm².
Thus, the area of one side of the rectangular wooden board is (209 ± 4.9) cm², taking into account the uncertainty.
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If 4 × 8 = 32, then 32 divided by 8 must equal
Answer:
Step-by-step explanation:
If 4 x 8 = 32
32 / 8 must equal 4
They are a fact family with only 32, 8, and 4 in it. I hope that's clear!
Hope that helps!
Answer:
yes!
Step-by-step explanation:
If a × b = c Then, c ÷ b = a
Therefore it is equal
write the sentence as an inequality. A number n plus 8 is greater than 11
The Inequality is ___
Solve the inequality
The solution is ___
Answer:
The Inequality n+8>11
n>3
Step-by-step explanation:
The inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The given phrase "A number n plus 8 is greater than 11" can be written in the form of inequality as shown below.
A number n plus 8 → n+8A number n plus 8 is greater than 11 → n+8>11Now, the inequality can be solved for the value of n as shown below,
n + 8 > 11
Subtract 8 from both sides of the inequality,
n + 8 - 8 > 11 - 8
n > 3
Hence, the inequality for the given phrase is n+8>11 and its solution is n∈(-∞,3).
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awnserrrr anyone???
Answer:
Step-by-step explanation:
a
An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 23.236 feet, what is the volume of the sculpture? Use 3.14 for pi .
Answer:
The volume of the cone-shaped sculpture is equal to 114.631 ft³.
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry
Circumference Formula:
\(\displaystyle C = 2 \pi r\)
Volume Formula [Cone]:
\(\displaystyle V = \frac{\pi r^2 h}{3}\)
Step-by-step explanation:
Step 1: Define
Identify given.
h = 8 ft
C = 23.236 ft
Step 2: Find Radius r
[Circumference Formula] Substitute in variables:Step 3: Find Volume
[Volume Formula - Cone] Substitute in variables:∴ the volume of the artist-created sculpture is 114.631 ft³.
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Topic: Geometry
Write "k:6" in words in two different ways.
Answer:
k to 6, k over 6.
Step-by-step explanation:
Answer:
k over 6 k to 6
Step-by-step explanation:
: means to and over :) please mark brainliest
A knee doctor took a survey of the ages of her patients when they needed knee surgery.
The results are given in this data set.
{42, 25, 33, 30, 36, 18, 40}
What number can be removed from the data set so that the median will remain the same?
Responses:
18
30
33
40
Answer:
33
Step-by-step explanation:
{42, 25, 33, 30, 36, 18, 40}
The median is the middle number (in order).
{18, 25, 30, 33, 36, 40, 42}
The median is 33.
If we remove 33 then:
{18, 25, 30, 36, 40, 42}
The median would be 33 (the middle number between 30 and 36 is 33).
So, The median still would be 33.
Which statement best describes the domain and range of p(x) = 6–x and q(x) = 6x?
A. p(x) and q(x) have the same domain and the same range.
B. p(x) and q(x) have the same domain but different ranges.
C. p(x) and q(x) have different domains but the same range.
D. p(x) and q(x) have different domains and different ranges.
The correct answer is B.
p(x) and q(x) have the same domain but different ranges.
Let's analyze the functions individually:
Function p(x) = 6 – x:
Domain: There are no restrictions on the values of x, so the domain of p(x) is all real numbers.
Range: As x increases, the value of 6 – x decreases. Therefore, the range of p(x) is also all real numbers.
Function q(x) = 6x:
Domain: Again, there are no restrictions on the values of x, so the domain of q(x) is all real numbers.
Range: As x increases, the value of 6x also increases.
Therefore, the range of q(x) is all real numbers greater than or equal to zero (0).
Since the ranges of p(x) and q(x) are different (all real numbers for p(x) and all real numbers greater than or equal to zero for q(x)), the correct answer is B. p(x) and q(x) have the same domain but different ranges.
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A plane took 3 Hours and 33 Minutes to finish a journey. If the distance of the journey was 2840 miles, at what average speed did the plane travel? __mph
Answer:
853 mph
Step-by-step explanation:
Answer:
207.611 miles per hr
Step-by-step explanation:
To figure out the distance for a trip, you use a ruler to measure the distance from Orlando to Gainesville on the map. You measure 2.3 cm. Find the actual mileage
between the two cities, rounded to the nearest mile.
will give u brainlist
Answer:
The answer is 71
Step-by-step explanation:
Why because
1 cm /31 mi = 2.3 cm / m
1 x m = 31 x 2.3
n = 71.3
71.3 rounded to nearest mile is 71.
Find the midpoint of the segment ending in the points 0,9 and 5,1
A boat is heading towards a lighthouse, where Luis is watching from a vertical distance of 107 feet above the water. Luis measures an angle of depression to the boat at point A to be 10 degrees. At some later time, Luis takes another measurement and finds the angle of depression to the boat (now at point B) to be 39 degrees. Find the distance from point A to point B. Round your answer to the nearest foot if necessary.
Help pls serious answers only!!! HW DUE TODAY! pls show steps ;-;
Using the slope concept, it is found that the distance from point A to point B is of 465 feet.
What is a slope?The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.
To find the horizontal position at point A, we have that:
tan(10º) = 107/dA
dA = 107/tan(10º)
dA = 607.
For the horizontal position at point B, we have that:
tan(37º) = 107/dB
dB = 107/tan(37º)
dB = 142.
Hence the distance is given by:
D = dA - dB = 607 - 142 = 465.
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Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 2
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 8, with tick marks every one unit up to 30. The graph is titled Tickets Sold for A Dance. The box extends from 17 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 10 and 27.
Which of the following is the appropriate measure of center for the data, and what is its value?
The mean is the best measure of center, and it equals 19.
The median is the best measure of center, and it equals 4.
The median is the best measure of center, and it equals 19.
The mean is the best measure of center, and it equals 4.
Question 3
A charity needs to report its typical donations received. The following is a list of the donations from one week. A histogram is provided to display the data.
5, 5, 6, 8, 10, 15, 18, 20, 20, 20, 20, 20, 20
A graph titled Donations to Charity in Dollars. The x-axis is labeled 1 to 5, 6 to 10, 11 to 15, and 16 to 20. The y-axis is labeled Frequency. There is a shaded bar up to 2 above 1 to 5, up to 3 above 6 to 10, up to 1 above 11 to 15, and up to 7 above 16 to 20.
Which measure of variability should the charity use to accurately represent the data? Explain your answer.
The range of 13 is the most accurate to use, since the data is skewed.
The IQR of 13 is the most accurate to use, since the data is skewed.
The range of 20 is the most accurate to use to show that they have plenty of money.
The IQR of 20 is the most accurate to use to show that they need more money.
Question 4
The circle graph describes the distribution of preferred transportation methods from a sample of 400 randomly selected San Francisco residents.
circle graph titled San Francisco Residents' Transportation with five sections labeled walk 40 percent, bicycle 8 percent, streetcar 15 percent, bus 10 percent, and cable car 27 percent
Which of the following conclusions can we draw from the circle graph?
Together, Streetcar and Cable Car are the preferred transportation for 168 residents.
Together, Walk and Streetcar are the preferred transportation for 55 residents.
Bus is the preferred transportation for 45 residents.
Bicycle is the preferred transportation for 50 residents.
Question 5
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 7
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer mustard on a hot dog?
900
2,000
2,100
4,000
Question 8
The number of milligrams of Vitamin C from 100 different gummy vitamins sold in the world was collected.
Which graphical representation would be most appropriate for the data, and why?
Box plot, because the median can easily be determined from the large set of data
Stem-and-leaf plot, because you can see the shape of the data
Histogram, because it shows each individual data point
Bar chart, because the data is categorical
Burger Quick, because it has a larger median.
How to explain the informationBurger Quick typically has more wait time because it has a larger range (30-2=28) compared to Super Fast Food (27-3=24) and also has a larger interquartile range (IQR) (24-9.5=14.5) compared to Super Fast Food (15.5-8.5=7), indicating more variability in the wait times. The fact that Burger Quick's median (15.5) is larger than Super Fast Food's median (12) reinforces this conclusion.
Therefore, the correct answer is: Burger Quick, because it has a larger median.
Answer 2: The appropriate measure of center for this data is the median, which is represented by the line in the box at 19. This is because the data is skewed, with a longer tail to the right, and the median is less sensitive to extreme values compared to the mean. Therefore, the correct answer is: The median is the best measure of center, and it equals 19.
Answer 3: The measure of variability that the charity should use to accurately represent the data is the IQR (Interquartile Range), which is the range of the middle 50% of the data. The reason for this is that the data is skewed to the right, with many values concentrated in the upper range of the data, and the IQR is less sensitive to outliers compared to the range.
The IQR for this data is 20-10=10, which represents the spread of the middle 50% of the data. Therefore, the correct answer is: The IQR of 20 is the most accurate to use, since the data is skewed.
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what is the height of this triangle?
Answer:
XY (height) is approximately 20.8 feet
Step-by-step explanation:
let h = XY
tan60° = h/12
h = 12·tan60°
h = 20.78 ft
If 8x−4y=20 and 4x−8y=4, what is the value of x−y
Answer:
x-y=3-1=2
Step-by-step explanation:
\(8x-4y=20\) \(4x-8y=4\)
\(8x=20+4y\) \(4(\frac{20+4y}{8})-8y=4\)
\(x=\frac{20+4y}{8}\) \(\frac{80+16y}{8} -8y=4\)
\(x=\frac{20+4}{8}\) \(10+2y-8y=4\)
\(x=\frac{24}{8}\) \(10-6y=4\)
\(x=3\) \(-6y=4-10\)
\(-6y=-6\)
\(y=1\)
so x-y=3-1=2
explain why 8.0 is greater then 0.8
Answer:
since the eight in the second number is to the right of the decimal, and there id no other number on the left, the second number isn't even a whole number. It is four fifths of a whole. while the eight in the first number is to the left of the decimal it is a whole number eight times. like, which is more eight cookies or a part of one cookie.
Step-by-step explanation:
the national average.
If the national average for a gallon of gas is $2.59, how much
should you expect to pay for gas in Philadelphia versus
Cleveland?
A. $3.03 / $2.75
B. $1.95 / $2.59
C. $2.34 / $2.75
D. $2.75 / $3.24
Philadelphia Clevland
Overall 92 78
Food 106 106
Housing 56 27
Utilities 130 126
Transportation 117 106
Health 102 113
The correct answer is D. $2.75 / $3.24
To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:
Philadelphia: $117
Cleveland: $106
To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:
Expected Gas Price = National Average * (Transportation Expense / National Average)
National Average for gas = $2.59
For Philadelphia:
Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30
For Cleveland:
Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51
Comparing the expected gas prices, we find that:
A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.
C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.
D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.
Therefore, the correct answer is:
D. $2.75 / $3.24
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State the transformation that would be done to f(x) = 2* to obtain g(x) = -2(2)4x+16 – 5
I NEED HELP ASAP !
Answer:
f (x) = x2
Step-by-step explanation:
you change the formula a bit and thereby move the graph around. This is three units higher than the basic quadratic, f (x) = x2.
estimate the change in the advertising budget necessary to maintain a monthly profit of $93,500 if the insurance company hires 5 new sales associates.
The change in the advertising budget necessary to maintain a monthly profit of $93,500 if the insurance company hires 5 new sales associates is estimated to be an increase of $2,308.
To estimate the change in advertising budget necessary to maintain a monthly profit of $93,500 with the addition of 5 new sales associates, we need to consider the potential impact of these new hires on the company's revenue and expenses.
Assuming that each new sales associate is expected to generate $10,000 in revenue per month, the total increase in revenue would be $50,000 (5 sales associates x $10,000).
However, there may also be additional expenses associated with the new hires, such as salaries and benefits. Let's assume that the total cost of adding 5 new sales associates is $30,000 per month.
Therefore, the net increase in monthly profit due to the new hires would be $20,000 ($50,000 in revenue - $30,000 in expenses).
To maintain a monthly profit of $93,500, the company would need to increase its advertising budget by an amount that would generate an additional $20,000 in profit. Assuming that the company's profit margin on its products is 20%, this would require an additional $100,000 in revenue per month ($20,000 / 0.20).
Based on the historical data and market conditions, the company could estimate the additional advertising budget required to generate this amount of revenue.
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Which is equivalent to 4√3
will mark brainlist if right
Answer:
The result can be shown in multiple forms.
Exact Form: 4√3 = √48
Step-by-step explanation: