Answer:
Option C. is correct.
Step-by-step explanation:
Given:
Adrienne's annual take-home pay = $57,000
To find:
The maximum amount that she can spend per month on paying off credit cards and loans and not be in danger of credit overload.
Solution:
Number of months in a year = 12
So, amount she can spend per month =
Annual pay of Adrienne / Number of months in a year = [tex]\frac{57000}{12} =\frac{28500}{6}=\frac{14250}{3}=4750[/tex]
So, option C. is correct.
Answer:
A. $950.00
Step-by-step explanation:
A p e x
A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 31 players. A number line going from 1 to 9. 2 dots are above 1. 3 dots are above 2. 4 dots are above 3. 5 dots are above 4. 5 dots are above 5. 3 dots are above 6. 2 dots are above 7. 0 dots are above 8. 1 dot is above 9. Which measure of center is best to use to determine the expected number of strokes required for the ninth hole? a. The mean is the best choice because the data is nearly symmetrical. b. The median is the best choice because data is clustered. c. The mean is the best choice because the data is skewed to the right. d. The median is the best choice because the data is skewed to the left.
Answer:
A
Step-by-step explanation:
The mean is a good measure of central tendency because it takes into account all of the data compared to other. One of the instance where the mean is not good measure is when there are outliers ( extreme values) in the data in this case the median is better. In the scenario in the question the data set is nearly symmetrical therefore the mean is best central tendency measure to use
Answer:
Option A - The mean is the best choice because the data is nearly symmetrical.
Step-by-step explanation:
Given : A mini-golf course is determining the par score for each of its holes. The dot plot shows the number of strokes required to place a ball in the ninth hole for a sample of 25 players.
To find : Which measure of center is best to use to determine the expected number of strokes required for the ninth hole?
Solution :
To determine the expected number of strokes required for the ninth hole the best measure of center is the mean of the data as the data is nearly symmetrical about the center point 4 and 5.
We can also find the mean of the data,
Mean is defined as the sum of observation divided by number of observation.
i.e, Sum of observation is
Referring the dot plot of ninth hole strokes
Total number of observation n= 25
Therefore, Option A is correct.
The mean is the best choice because the data is nearly symmetrical.
Which system is represented by the graph?
Answer:
The answer to your question is the first option
Step-by-step explanation:
Process
1.- Identify the y-intercepts of the lines
blue line y-intercept = -1
brown line y-intercept = -2
With this information, we can discard the last option because those lines don't have those y-intercepts.
2.- We observe in the graphs that the lines are increasing so the slopes are positive. From this information, we can discard the second option.
3.- Calculate the slopes of the lines of options 1 and 3
Blue line Points (0, -1) (1, 2)
m = [tex]\frac{2 + 1}{1 - 0} = \frac{3}{1} = 3[/tex]
Brown line Points (0, -2) (1, 1)
m = [tex]\frac{1 + 2}{1 - 0} = 3[/tex]
As the slopes are 3, we conclude that the answer is the first option.
Four houses in a row are each to be painted with one of the colors red, blue, green, and yellow. In how many different ways can the houses be painted so that no two adjacent houses are of the same color? There are possible ways to paint the houses.
Answer:
Possible ways to paint the house is 108
Step-by-step explanation:
Total number of houses to be painted=4
Total number of colours to b used(red,blue,green and yellow)=4
Number of ways to paint the first house=4
Number of ways to paint the second house=3
Number of ways to paint the third house=3
Number of ways to paint the fourth house=3
Total number of ways to paint the 4 houses=4×3^3=108 ways.
Final answer:
There are 24 different ways to paint the houses so that no two adjacent houses are of the same color.
Explanation:
To solve this problem, we can use the concept of permutations. Since there are 4 houses and 4 colors to choose from, we can start by selecting a color for the first house. We have 4 options for the first house. Next, we need to choose a color for the second house, but we must ensure that it is different from the color chosen for the first house. We have 3 options for the second house. For the third house, we have 2 options, and for the fourth house, we have only 1 option.
Therefore, the total number of ways to paint the houses without any two adjacent houses being the same color is calculated as:
4 x 3 x 2 x 1 = 24
If the following is a polynomial function, then state its degree and leading coefficient. If it is not, then state this fact.
f(x) = -16x^5 - 7x^4 - 6
Degree: -16; leading coefficient: 5
Degree: 5; leading coefficient: -16
Not a polynomial function.
Degree: 9; leading coefficient: -16
Degree: 5; leading coefficient: –16
Explanation:
Given polynomial function is [tex]f(x)=-16x^5-7x^4-6[/tex]
The degree of the polynomial is a highest value of the exponent in one variable in the given polynomial.
Here, highest value of the exponent = 5
So, degree of the polynomial = 5
Leading coefficient is the value before the highest degree of the variable in the polynomial.
Here, leading coefficient = –16
Hence, the answer is Degree: 5; leading coefficient: –16.
Ken drives a taxi cab and receives $100 a day plus $0.50 for every mile he drives. He is saving up for a new television that costs about $2500. If Ken drives an average of 400 miles per day, how many days will he have to drive to save enough money to buy the television? In a inequality statment
Answer:
i got 8.33 so I would say about 9. Im not sure about inequality statements but I know that's about how many days since he makes 300 per day, and you divide that by 2500
Step-by-step explanation:
Determine whether the quantitative variable is discrete or continuous. Depth of the ocean floor Is the variable discrete or continuous? A. The variable is discrete because it is countable. B. The variable is continuous because it is not countable. C. The variable is discrete because it is not countable. D. The variable is continuous because it is countable.
Answer:
B. The variable is continuous because it is not countable.
Correct, from the definition about of continuous data we see that is a random variable is continuous then it can't be countable.
Step-by-step explanation:
Previous concepts
A discrete random variable "has a countable number of possible values" in a domain defined. So then the possible values for these types of random variables are the integers.
A continuous is a random variable "where the data can take infinitely many values" that means that can take values from the rational with decimals. Ans is not countable.
Solution to the problem
Let's analyze one by one the possible options:
A. The variable is discrete because it is countable.
False, the depth of the ocean is a continuous random variable since we can have for exampe a depth of 1200.56 mi and we can't express this as a discrete random variable.
B. The variable is continuous because it is not countable.
Correct, from the definition about of continuous data we see that is a random variable is continuous then it can't be countable.
C. The variable is discrete because it is not countable.
False, the depth of the ocean is a continuous random variable since we can have for exampe a depth of 504.67 Km and we can't express this as a discrete random variable.
D. The variable is continuous because it is countable.
False the variable is continuous but cannot be countable since that's the opposite from the definition of continuous random variable.
The correct answer is option is B). The variable is continuous because it is not countable.
The depth of the ocean floor is a quantitative variable that can take on any value within a range and can be measured to any level of precision. This means that the depth can be a non-integer number and is not restricted to integer counts. Therefore, it is not countable in the sense that one can count individual, distinct units, such as the number of people in a room or the number of cars in a parking lot. Instead, the depth of the ocean floor is a continuous variable because it can vary smoothly and without gaps over a range of values.
To illustrate, consider that the depth of the ocean can be 100.5 meters, 100.52 meters, 100.526 meters, and so on, with an infinite number of possible values between any two depths. This characteristic of having an infinite number of possible values within any given interval is what defines a continuous variable.
Simplify the radical expression and shows steps
Answer: [tex]4\sqrt{2}+10[/tex]
=============================================
Let [tex]x = \sqrt{8}[/tex]
We can replace every square root of 8 with x, since we have that equation above. We end up with 3-x+7+3x. This simplifies to 2x+10 after combining like terms.
Now we can reintoduce the square root back in
[tex]2x+10 = 2\sqrt{8}+10[/tex]
The use of x is optional as you can combine like terms directly. However, it might help to make the temporary replacement.
-------------
Now simplify the square root
[tex]\sqrt{8} = \sqrt{4*2}[/tex]
[tex]\sqrt{8} = \sqrt{4}*\sqrt{2}[/tex]
[tex]\sqrt{8} = 2\sqrt{2}[/tex]
--------
Therefore,
[tex]2\sqrt{8}+10[/tex]
turns into
[tex]2*2\sqrt{2}+10[/tex]
[tex]4\sqrt{2}+10[/tex]
Answer:
10 + 4sqrt(2)
Step-by-step explanation:
3 - sqrt(8) + 7 + 3sqrt(8)
3 - 2sqrt(2) + 7 + 6sqrt(2)
10 + 4sqrt(2)
sqrt: square root
Descriptive statistics are useful because _____. a. you can analyze results and draw conclusions b. trends are not determined any other way c. averages can be found without completing an experiment d. you can find the causes of problems
Answer:
a. you can analyze results and draw conclusions
Step-by-step explanation:
Descriptive Statistics: It interprets results in a simple way so that you can analyze the results and draw conclusions.
There are 13 steps in the stairwell, each measuring one foot by three foot. In order to cover all the steps, how many square feet of carpet does Mr. Meglio need to purchase?
Answer:
Mr. Meglio need to purchase 39 square feet of carpet.
Step-by-step explanation:
Given:
Total number of steps = 13
Length of each step = 1 foot
Width of each step = 3 foot
We need to find the square feet of carpet does Mr. Meglio need to purchase.
Solution:
First we will find the area of each step.
area of each step is equal to length times width.
framing in equation form we get;
area of each step = [tex]1\times 3 = 3\ ft^2[/tex]
Now amount of carpet required in square feet we multiply number of step with area of each step.
framing in equation form we get;
Amount of carpet required = [tex]13\times3 =39\ ft^2[/tex]
Hence Mr. Meglio need to purchase 39 square feet of carpet.
Final answer:
Mr. Meglio needs to purchase 39 square feet of carpet to cover the 13 steps in the stairwell, as each step has an area of 3 square feet.
Explanation:
The student is asking how many square feet of carpet are needed to cover a stairwell with 13 steps, where each step is one foot by three feet.
To calculate the area of a single step, multiply the length by the width. For one step, the calculation is 1 foot × 3 feet = 3 square feet. Since there are 13 steps, multiply the area of one step by the number of steps: 3 square feet/step × 13 steps = 39 square feet. Therefore, Mr. Meglio will need to purchase 39 square feet of carpet to cover all the steps.
This type of problem is a practical application of the area calculation in real-world context, and the measurement conversion from square inches to square feet is also pertinent to understanding the measurement of areas in different units.
7x+3(-x+6)=42 Show all steps
Answer:
X=6
Step-by-step explanation:
Distributing the 3
7x-3x+18=42
Adding like terms
4x+18=42
Subtracting 18 from both sides
4x=24
Dividing both sides by 4
X=6
Knowing that 9 is closer to 10 than to 1 and understanding that 2 plus 1 equals 3 demonstrates a basic understanding of
a. reversibility.
b. intelligence.
c. whole number skills.
d. seriation.
Answer: C: Whole number skills
Step-by-step explanation: The question involves simple understanding of whole numbers from counting 1 to 10, and also addition of these whole numbers, which makes its a basic understanding of whole number skills
Fortuna worked 39.5 hours this week at $8.18 an hour.
What was her gross pay?
$327.20
$323.90
$323.11
$319.02
Answer:
c
Step-by-step explanation:
because 39.5 hours makes 8.18
Fortuna's gross pay is $323.11
What is unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
Given that, Fortuna worked 39.5 hours this week at $8.18 an hour.
Since, she is being paid $8.18 for 1 hour, that mean her unit rate is $8.18
To find total rate we will multiply her unit rate with total hours she worked.
Therefore,
The total pay = 39.5 × 8.18 = $323.11
Hence, Fortuna's gross pay is $323.11
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Which of the following can be derived from other assumptions about numbers. A. Subtraction. B. Multiplication. C. Division D. All of the above. E. B and C above.
Answer: D All of the above
Step-by-step explanation:
Addition,subtraction,multiplication and division are basic mathematical operations used in the determination and assumption of numbers.
Without them,there will be no theorems .
If the businesswoman randomly selects one of the possible itineraries and Denver and San Francisco are two of the cities that she plans to visit, what is the probability that she will visit Denver before San Francisco?
Answer: The probability that she will visit Denver before San Francisco is [tex]\dfrac{1}{2}[/tex] .
Step-by-step explanation:
Given : The businesswoman randomly selects one of the possible itineraries and Denver and San Francisco are two of the cities that she plans to visit.
The possible itineraries = (First Denver and then San Francisco , First San Francisco and then Denver)
i.e. Total outcomes =2
If she visit Denver before San Francisco , then the favorable outcome = 1
Now , the probability that she will visit Denver before San Francisco = [tex]=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]=\dfrac{1}{2}[/tex]
Hence, the probability that she will visit Denver before San Francisco is [tex]\dfrac{1}{2}[/tex] .
The value of a baseball card in dollars has been found to be 0.15y + 0.35, where y is the number of years since it was released. By how much is the baseball card's value increasing per year?
Answer:
The value of the baseball increase $0.15
Step-by-step explanation:
we have
The expression above represent a linear equation in slope intercept form
where
The slope or unit rate is equal to
The y-intercept is equal to ----> original value of a baseball card
therefore
The value of the baseball increase $0.15 per year
Final answer:
The value of the baseball card is increasing by $0.15 per year. For the bat and ball problem, the ball costs $0.05 and the bat costs $1.05.
Explanation:
To find out how much the baseball card's value is increasing per year, we look at the formula given for the value of the baseball card: 0.15y + 0.35. In this formula, y represents the number of years since the card was released. The coefficient of y is 0.15, which indicates the yearly increase in the value of the card.
Therefore, the value of the baseball card is increasing by $0.15 per year.
Now let's look at the classic bat and ball problem. The total cost of the bat and the ball is $1.10, and the bat costs $1.00 more than the ball. If we denote the cost of the ball as x, then the cost of the bat is x + $1.00. Setting up the equation x + (x + $1.00) = $1.10, we combine like terms to get 2x + $1.00 = $1.10. Solving for x, we subtract $1.00 from both sides to get 2x = $0.10. Dividing both sides by 2 yields x = $0.05. So, the ball costs $0.05, and the bat costs $1.05.
Mr.Brent uses 1/4 cup of blue paint and 1/4 cup of yellow paint to make each batch of green paint. How many batches of green can he make with the amount of paint he has left?
Answer:the common denominator is 4 so your answer is 1/4
Step-by-step explanation:
A building 64 ft high casts a 288-ft shadow. Sarah casts a 18-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. How tall is Sarah?
6 ft
5 ft
4 ft
3 ft
Answer:
The answer to your question is 4 ft
Step-by-step explanation:
Data
Building's shadow = 288 ft
Building's high = 64 ft
Sarah's shadow = 18 ft
Sarah's height = ?
Process
1.- Use proportions to solve this problem
[tex]\frac{Sarah's height}{Sarah's shadow} = \frac{building's height's}{building's shadow}[/tex]
2.- Solve for Sarah's height
[tex]Sarah's height = \frac{Sarah's shadow x building's height}{building shadow}[/tex]
3.- Substitution
[tex]Sarah's height = \frac{18 x 64}{288}[/tex]
4.- Simplification
[tex]Sarah's height = \frac{1152}{288}[/tex]
5.- Result
Sarah's height = 4 ft
Heights of adult males are normally distributed. If a large sample of heights of adult males is randomly selected and the heights are illustrated in a histogram, what is the shape of that histogram?
Answer:
histogram is a graphical representation of data using he concepts of statistics.
Step-by-step explanation:
your question is incomplete as ample information is not provided for solving this problem.
If the graph f(x)= 9x^2+36x+41/3x+5 has an oblique asymptote at y=3x+k what is the value of k
Answer:
The value of k is 7.Explanation:
To find the oblique asymptote of a rational function you divide the numerator by the denominator and take the quotient (not the remainder).
Such quotient (without the remainder) is the equation of the line that is the oblique asymptote of the rational function.
The rational function is:
[tex]\frac{9x^2+36x+41}{3x+5}[/tex]
You can see the long division in the picture attached. The quotient is 3x + 7.
Hence, by comparison with y = 3x + k, k = 7.
Answer:
7
Step-by-step explanation:
Correct on EDGE
Complete the table for the following function (Image down below)
y=3^x
Graph the function and describe what the graph looks like.
a.
Increases in Quadrant III
b.
Increases from left to right
c.
Decreases from left to right
d.
Decreases in Quadrant II
Answer:
b
Step-by-step explanation:
The graph of the given function will increase from left to right.
What are the needs for graphs in mathematics?Graphs are a popular tool for visually illuminating data relationships. A graph serves the objective of presenting data that are either too many or complex to be fully expressed in the text while taking up less room.
Given, a function y = 3ˣ. graph of this function is attached below. as we can see in the attached graph that it will increase from left to right.
For x = -3
y = 3⁻³ = 1/27
For x = -2
y = 3⁻² = 1/9
for x = 2
y = 3² = 9
For x = 3
y = 3³ = 27
Therefore, The supplied function's graph will rise from left to right.
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Christilla and her friends purchased tickets for the factory that costs $13 each and bottled water that costs $1.50 each. Write an algebraic expression for the total cost of their night out
Answer:
An algebraic expression for the total cost of their night out is [tex]T=13x+1.5y[/tex].
Step-by-step explanation:
Given:
Cost of per person ticket to factory = [tex]\$13[/tex]
Cost of each bottled water = [tex]\$1.50[/tex]
we need to write an algebraic expression for the total cost of their night out
Solution:
Let the number of persons visiting the factory be 'x'.
Also Let the number of bottled water be 'y'.
Also Let the total cost be 'T".
So we can say that;
total cost is equal to Cost of per person ticket to factory multiplied by the number of persons visiting the factory plus Cost of each bottled water multiplied number of bottled water.
framing in equation form we get;
[tex]T=13x+1.5y[/tex]
Hence an algebraic expression for the total cost of their night out is [tex]T=13x+1.5y[/tex].
A rectangular garden is 2 feet longer than it is wide. If the width is doubled, 50 extra feet of fencing will be needed to keep out the rabbits. What are the dimensions of the original garden?
Answer:
The dimensions of the original garden is [tex]27\times25\ ft[/tex].
Step-by-step explanation:
Let the width of the rectangular garden be 'x'.
Now given:
A rectangular garden is 2 feet longer than it is wide.
so we can say that;
Length of the rectangle = [tex](x+2) \ ft[/tex]
Now to fence the garden we need to find the perimeter of the garden.
Now Perimeter of the garden is equal to twice the sum of the length times width.
framing in equation form we get;
Perimeter of the rectangle = [tex]2(x+x+2)=2(2x+2)=4x+4[/tex]
Now given:
If the width is doubled, 50 extra feet of fencing will be needed
It means that Perimeter of the doubled width rectangle is equal to perimeter of original garden plus 50.
framing in equation form we get;
[tex]2(2x+x+2)=4x+4+50\\\\2(3x+2)=4x+50[/tex]
Now Applying distributive property we get;
[tex]2\times3x+2\times2=4x+54\\\\6x+4=4x+54[/tex]
Combining the like terms we get;
[tex]6x-4x=54-4\\\\2x=50[/tex]
Dividing both side by 2 we get;
[tex]\frac{2x}{2}=\frac{50}{2}\\\\x=25 \ ft[/tex]
Length of the rectangular garden = [tex]x+2=25+2=27\ ft[/tex]
Hence the dimensions of the original garden is [tex]27\times25\ ft[/tex].
Trilobites to concert tickets from her friend she pays $90 for the two tickets she looks at the tickets and see that each ticket has a space value of 52. 50. How much of a markdown did her friend give Shelia. Explain how you know.
Answer:
Her friend gave Sheila a markdown of $15.
Step-by-step explanation:
Given;
Amount paid for 2 tickets = $90
Actual amount for each ticket = $52.50
we need to find the markdown value did her friend gave to Shelia.
Solution:
each ticket = $52.50
2 tickets = Cost of 2 tickets.
By using unitary method we get;
Cost of 2 tickets = [tex]52.50\times 2 =\$105.00[/tex]
Now To find the markdown we will subtract the Amount paid for 2 tickets from the actual Amount of 2 tickets.
framing in equation form we get;
Markdown [tex]105-90 =\$15[/tex]
Hence her friend gave sheila a markdown of $15.
Consider a= ⟨−2,5,1⟩, b= ⟨−5,2,−5⟩ and c= ⟨−1,−5,4⟩. Find the angles between the following vectors: The angle between a and b is:
Answer:
[tex]cos^{-1}(\frac{\sqrt 5}{6})[/tex]
Step-by-step explanation:
We are given that
[tex]a=<-2,5,1>,b=<-5,2,-5>[/tex] and c=<-1,-5,4>
We have to find the angles between a and b .
[tex]\mid a\mid=\sqrt{(-2)^2+(5)^2+(1)^2}=\sqrt{30}[/tex]
[tex]\mid b\mid=\sqrt{(-5)^2+(2)^2+(5)^2}=3\sqrt{6}[/tex]
[tex]a\cdot b=<-2,5,1>\cdot <-5,2,-5>=10+10-5=15[/tex]
Angle between two vectors a and b is given by
[tex]cos\theta=\frac{a\cdot b}{\mid a\mid \mid b\mid }[/tex]
Using the formula
[tex]cos\theta=\frac{15}{\sqrt{30}\times 3\sqrt{6}}[/tex]
[tex]cos\theta=\frac{5}{6\sqrt{5}}[/tex]
[tex]cos\theta=\frac{5\times \sqrt 5}{6\times (\sqrt 5)^2}=\frac{\sqrt 5}{6}[/tex]
[tex]\theta=cos^{-1}(\frac{\sqrt 5}{6})[/tex]
Hence, the angle between a and b=[tex]cos^{-1}(\frac{\sqrt 5}{6})[/tex]
Mr. Abed tries a new mathematics game to help his third grade students learn their multiplication tables and records the results. This would best be described as which of the following?
Group of answer choices
A. true experiment
B. one-shot case study
C. one-group
D. pretest–posttest design
E. correlational research
Answer: D Pretest–posttest design
Step-by-step explanation:
According to the question, Mr Abed is just designing the game and the purpose is to help the grade 3 students learn their mutiplication table, upon completion of the game design, the students are to use (play) it - all this makes up the pretest stage
The result of the game will then be evaluated by Mr Abed to Know if the game is effective or not, if the students have actually learnt their multiplication table by playing the game, if there is need for modification - all this makes the posttest stage.
Find a counterexample to show that the following conjecture is false.
The quotient of any two integers is always less than 1.
Answer:
4/2 = 2 > 1
Step-by-step explanation:
The quotient of any two integers of the same sign and the dividend having the larger magnitude will be greater than 1:
-88/-11 = 8 > 1
4/2 = 2 > 1
Hence the conjecture is false.
Help! Will give brainliest.
Answer:
Step-by-step explanation:
[tex]g(x)=log_{2}( x+4) -1\\let g(x)=y\\y=log_{2}(x+4)-1 \\x+4=2^{y+1} \\when y=0\\x+4=2^1=2\\x=2-4=-2\\when x=0\\4=2^{y+1}=2^y*2^1=2*2^y\\2^y=\frac{4}{2}=2=2^1\\so~y=1\\x -intercept=-2\\y-intercept=1[/tex]4. it is a transformation of 4 units left and 1 unit down.
plz, help me ASAP!!!!!
ALL I NEED TO KNOW IS ............. MY ANSWER IS CORRECT OR WRONG AND WHY?
Answer:
A translation right 10 and up 9.
Step-by-step explanation:
Looks like you wrote the reverse translation
M'N'P'Q'R'S' to MNPQRS
(c+5)^3 solve using binomial theorem
Answer:
c^3+15c^2+75c+125
Step-by-step explanation:
Henry mixes 1 cup grape concentrate with 4 cups water to make his favorite drink. How much water will he need to mix if he uses 5 cups grape concentrate
Answer:he will need to mix 20 cups of water if he uses 5 cups grape concentrate.
Step-by-step explanation:
Henry mixes 1 cup grape concentrate with 4 cups water to make his favorite drink. It means that the number of cups of grape concentrate that henry requires to mix 1 cup of water would be
1/4
Therefore, the number of cups of water that he needs to mix if he uses 5 cups grape concentrate would be
5/(1/4) = 20 cups of water