ANSWER: True
EXPLANATION:
The statement is true. Any correctly constructed frequency distribution is valid. However, some choices for the categories or classes give more information about the shape of the distribution.
Abby has a collection of 61 dimes and nickels worth $4.40. How many nickels does she have? Show steps
Answer:
34 nickels
Step-by-step explanation:
First, consider the value if they were all dimes. That would be 61×$0.10 = $6.10. Next, realize this is more than the actual amount by 1.70. Of course, replacing one of the 61 dimes by a nickel reduces the total amount by $.05, so we must have ...
$1.70/$0.05 = 34
nickels in the mix.
Abby has 34 nickels.
_____
Alternate solution methods
I like to solve these using number sense, as above. Equivalently, an equation can be written using n to represent the number of nickels. The total value is then ...
.05n + .10(61 -n) = 4.40
-.05n +6.10 = 4.40 . . . . . . eliminate parentheses
-.05n = -1.70 . . . . . . . . . . . subtract 6.10
n = -1.70/-.05 = 34
Hopefully, you notice some similarities between this solution and the one in words, above.
__
Often, you will see this sort of problem formulated using two equations.
n + d = 61 . . . . . . . . . . number of coins (d=#of dimes)
.05n +.10d = 4.40 . . . .value of coins
If we solve this by substitution, we can use d=61-n, and get ...
.05n +.10(61-n) = 4.40 . . . . . . looks like our equation in the previous section
By creating two equations for the total value of coins and the total number of coins Abby has, we can solve for both the number of dimes and nickels she holds. After doing the required calculations, we find that Abby has 34 nickels.
Explanation:The subject of this question is algebra and it involves solving a system of equations. This is a classic problem that can be solved using two equations because we have two unknowns: the number of dimes and the number of nickels.
Since each dime is worth 10 cents and each nickel is worth 5 cents, and total value of Abby's coins is $4.40 or 440 cents, we can write the value equation as:So, Abby has 34 nickels.
Learn more about Solving Systems of Equations here:https://brainly.com/question/31653301
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In triangle ABC, a = 2, c = 6, and cos B = . Find b.
Answer:
Use Law of Cosines, which is ß² = α² + c² - 2αccos(B) where <B is opp. to side ß.
Let α = 2, c = 6 and cos(B) = 1/6, so
ß = √(2² + 6² - 2(2)(6)(1/6))
= √(4 + 36 - 4)
= √36 = 6
A can of soda is placed inside a cooler. As the soda cools, its temperature T(x)
in degrees Celsius is given by the following function, where x
is the number of minutes since the can was placed in the cooler.
T(x)=−12+28e-0.38x
Find the initial temperature of the soda and its temperature after 18
minutes.
Round your answers to the nearest degree as necessary.
Answer:
The initial temperature of the soda is 16°C
The temperature of the soda after 18 minutes is -12°C
Step-by-step explanation:
T(x) = -12+28e^-0.38x
When x = 0
T(0) = -12+28e^-0.38(0) = -12+28e^0 = -12+28(1) = -12+28 = 16°C
Initial temperature of the soda is 16°C
When x = 18
T(18) = -12+28e^-0.38(18) = -12+28e^-6.84 = -12+28(0.0011) = -12+0.0308 = -11.9692°C = -12°C (to the nearest degree)
The temperature of the soda after 18 minutes is -12°C
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
Help: Simplifying inside parenthesis first
Answer:
4th one
Step-by-step explanation:
a^-2 goes down and become a^2 and
[tex] {a}^{2} \times {a}^{2} = {a}^{4} [/tex]
b^-1 goes up and become b
[tex] {b}^{2} \times {b}^{1} = {b}^{3} [/tex]
that why answer is 4th...mark me brainliest please
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.
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.
According to the Uniform Commercial Code, a ________ requires a seller to get the goods to be shipped and delivered to a specific place of business designated by the buyer.
Answer:
destination contract
Step-by-step explanation:
Destination contract is invented to assure the goods to be shipped by the seller and to be delivered to the buyer to the location the buyer has selected. It can be a specific place of delivery or a business location.
Destination contract is meant as mean of assurance to avoid each side to take a risk.
Create an explicit equation for each recursively defined sequence below:
Part A
This is an arithmetic sequence with starting term a(1) = 17 and common difference d = -7.
a(n) = a(1) + d(n-1)
a(n) = 17 + (-7)(n-1)
a(n) = 17-7(n-1)
a(n) = 17-7n+7
a(n) = -7n+24 is the final answer========================================================
Part B
We have a geometric sequence here because we multiply by the same quantity (5) each time. This makes the common ratio be r = 5.
The starting term is t1 = 3
The nth term of this geometric sequence can be expressed as...
t(n) = t1*(r)^(n-1)
t(n) = 3*(5)^(n-1) is the final answerBacteria can multiply at an alarming rate when each bacterium splits into two new cells, thus doubling. If a single bacterium is discovered at 9 a.m. and doubles every hour, how many bacteria will there be at the end of the day (midnight)?
65,536 cells of bacterium
Answer: 135
Step-by-step explanation:
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 community center has adopted two miles or 3520 wide of a highway to pick up trash along the side of the road falling tears are divided into 7 groups each group is a sign of equal length of Highway to clean up how many yards will each group clean up explained
Answer:
no it is 8 more so do it one more time and you will get the answer 352? fine the number
Step-by-step explanation:
Grace started her own landscaping business. She charges $6 an hour for mowing lawns and $11 per house pulling weeds. In September she mowed lawns for 63 hours and pulled weeds for 9 hours. How much money did she make in September?
Answer:
The total money made by Grace is $477.
Step-by-step explanation:
Given:
Charge per hour for mowing lawn = $6
Charge per hour for pulling weeds = $11
Number of hours for which lawns are mowed = 63 hours
Number of hours for which weeds are pulled = 9 hours
Now, total money made by Grace in September can be calculated by adding the total money gained in mowing lawns and pulling weeds.
Total money gained in mowing lawns is given as:
[tex]C_m=\textrm{Number of hours of mowing}\times\textrm{Charge per hour}\\\\C_m=63\times 6=\$378[/tex]
Total money gained in pulling weeds is given as:
[tex]C_w=\textrm{Number of hours of pulling weeds}\times\textrm{Charge per hour}\\\\C_w=9\times 11=\$99[/tex]
Now, total money made = [tex]C_m+C_w=378+99=\$477[/tex]
Therefore, the total money made by Grace is $477.
Find a function of the form
y=Asin(kx)+C or y=Acos(kx)+C whose graph matches this one:
Answer:
y = 2sin((π/7)x)
Step-by-step explanation:
The graph goes through (0, 0) and has a range of ±2. This matches a sine function with an amplitude (A) of 2 and a vertical offset (C) of zero.
The half-period is 7, so the value of k is such that 7k = π, or k = π/7.
The desired function is y = 2·sin((π/7)x).
An airplane flies horizontally from east to west at 320 mph relative to the air. If it flies in a steady 40-mi/hr wind that blows horizontally toward the southwest (45 degrees south of west). find the speed and direction of the airplane relative to the ground.
Answer:Speed of airplane= 43.18mi/he
Direction of the airplane relative to the ground=4.64°. Counter-clockwise rotation from west.
Step-by-step explanation: welovity/speed is represented as magnitudes of vectors.
Let A= the vector of the airplane
Let W= the vector of the wind
From the diagram,total vector F= A + w
F= 320+ 40cos45°I +0j) + (0i + 40sin46°)
F=320+28.28i+28.28j
To calculate the magnitude
/F/=root of A2 +w2
/F/=root320+40cos45°2+40sin45°2
/F/=root 1919.5168
/F/=43.18= speed
To calculate the direction of the airplane relative to the ground, use tan function because it is a right triangle as seen in the diagram
Tan x= opp/adj=40sin45/320+40cos45
Tanx=28.28/348.28
Tanx=0.091199
×=tan-1 0.091199
×=4.64
____________is the practice of putting students into specific curriculum groups based on their test scores and other factors.
Answer: Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors.
Tracking is the practice of grouping students based on their abilities and test scores. It involves sorting students into different curriculum groups. Ability grouping and tracking are used to place students on specific educational tracks.
Tracking is the practice of putting students into specific curriculum groups based on their test scores and other factors. This process involves classifying students based on academic merit or potential and is a formalized sorting system that places students on 'tracks' that perpetuate inequalities. Ability grouping and tracking are strategies used to group students according to their perceived abilities for educational purposes.
What function is represented by the graph?
F(x) = (3/4)^x + 6
F(x) = (3/4)^x + 5
F(x) = (4/3)^x + 5
F(x) = (4/3)^x + 6
Answer:
[tex]\displaystyle f(x) = [\frac{3}{4}]^x + 5[/tex]
Explanation:
All you have to do is plug in some intervals into the function based off of the graph, to make sure your function is authentic.
* Anytime that [tex]\displaystyle a < 1,[/tex]the graph will be falling from the left.
I am joyous to assist you anytime.
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.
In a school one-third of all 240 students play soccer. Forty four students play both soccer and basketball and sixty students do not play any of these games. How many students play only basketball?
Answer:
100 students play only basketball.
Step-by-step explanation:
We are given the following information in the question:
Total number of students in school = 240
Number of students that play soccer =
[tex]\dfrac{1}{3}\times \text{Total number of students}\\\\=\dfrac{1}{3}\times 240 = 80[/tex]
n(S) =80
[tex]n(S\cap B) = 44[/tex]
[tex]n(S'\cap B') = 60[/tex]
Formula:
[tex]n(S\cup B) = \text{Total} - n(S' \cap B')\\n(S\cup B) = n(S) + n(B) - n(S\cap B)[/tex]
Putting the values, we get,
[tex]n(S\cup B) =240-60=180\\n(S\cup B) = 180 = 80 - 44 + n(B)\\n(B) = 180 - 80 + 44= 144[/tex]
Thus, 144 students play basketball.
Out of these 144, 44 plays soccer as well.
[tex]\text{Student only playing basketball} = 144 -44 = 100[/tex]
Thus, 100 students play only basketball and not soccer.
A 40 question test has 132 possible points there are M 5 point questions. And N 1 point questions how many of each type of questions is on the test?
Answer:
There are 23 5-point questions and 17 1-point questions.
Step-by-step explanation:
there are M 5 point questions
And N 1 point questions
M + N = 40
A 40 question test has 132 possible points
5M + N = 132
We have a system of equations.
M + N = 40
5M + N = 132
Multiply both sides of the first equation by -1. Write the second equation below it. Add the equations.
-M - N = -40
+ 5M + N = 132
----------------------------
4M = 92
M = 23
Now substitute 23 for M in the first equation and solve for N.
M + N = 40
23 + N = 40
N = 17
There are 23 5-point questions and 17 1-point questions.
Answer:the number of 5 point questions is 23
the number of 1 point questions is 17
Step-by-step explanation:
Let M represent the number of 5 point questions.
Let N represent the number of 1 point questions.
The total number of questions in the test is 40. It means that
M + N = 40 - - - - - - - - - - - - 1
The possible total points in the test is 132 and it contains M 5 point questions and N 1 point questions. This means that
5M + N = 132 - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
- 4M = - 92
M = - 92/-4 = 23
Substituting M = 23 into equation 1, it becomes
23 + N = 40
N = 40 - 23 = 17
A cable car can safely carry n people. There are already 3/4n people on the cable car. Only 12 more people can board the cable car before it becomes unsafe. How many people at most can the cable car carry? Write an inequality then solve
Answer:
The answer is 48 people.
Step-by-step explanation:
We can write the equation like following:
[tex]n=(3n/4)+12\\4n=3n+48\\n=48[/tex]
The cable car can carry 48 people at most.
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.
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
What is the difference?
2x + 5/x 2 - 3x - 3x + 5/x3 - 9x - x + 1/x2 - 9
(x + 5)(x + 2)/x3 - 9x
(x + 5)(x + 4)/x3 - 9x
-2x + 11/x3 - 12x - 9
3(x + 2)/x2 - 3x
Edit: It's A
Answer:
The option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct
The difference of the given expression is
[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]
Step-by-step explanation:
Given expression is [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]
To find the difference of the given expression as below :
[tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})[/tex]
[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})[/tex]
[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})[/tex]
[tex]=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})[/tex]
( using the formula [tex]a^2-b^2=(a+b)(a-b)[/tex] )
[tex]=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}[/tex]
[tex]=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}[/tex] (adding the like terms)
[tex]=\frac{x^2+7x+10}{x(x^2-9)}[/tex] ( by factoring the quadratic polynomial )
[tex]=\frac{(x+5)(x+2)}{x^3-9x}[/tex]
Therefore [tex]\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}[/tex]
Therefore the difference of the given expression is
[tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex]
Therefore option [tex]\frac{(x+5)(x+2)}{x^3-9x}[/tex] is correct
Answer:
A
Step-by-step explanation:
Mike and Kim invest $18,000 in equipment to print yearbooks for school. Each yearbook costs $5 to print and sells for $15. How many yearbooks must they sell before their business breaks even?a. 1,100 yearbooksb. 1,200 yearsbooksc. 3,600 yearbooksd. 1,800 yearsbooks
Answer:
1800yearbook(D)
Step-by-step explanation:
Cost of printing a year book = $5
A year book is sold at $15
The profit on each year book = $15 - $5 = $10
Let y represent the number of year books sold for a break even to occur.
A break even occurs when the amount sold is equals the amount invested
10y = 18000
y = 18000/10
y = 1800 yearbooks
The marching band in selling poinsettias and wreaths to raise money for new uniforms. Trey sold 7 poinsettias and 3 wreaths and raised $201. Molly sold 4 poinsettias and 6 wreaths and raised $252. How much is a poinsettia
The cost of 1 poinsettia is $ 15
Solution:
Let "x" be the cost of 1 poinsettias
Let "y" be the cost of 1 wreath
Trey sold 7 poinsettias and 3 wreaths and raised $201
Therefore, we frame a equation as:
7 poinsettias x cost of 1 poinsettias + 3 wreaths x cost of 1 wreath = 201
[tex]7 \times x + 3 \times y = 201[/tex]
7x + 3y = 201 ------- eqn 1
Molly sold 4 poinsettias and 6 wreaths and raised $252
4 poinsettias x cost of 1 poinsettias + 6 wreaths x cost of 1 wreath = 252
[tex]4 \times x + 6 \times y = 252[/tex]
4x + 6y = 252 ------- eqn 2
Multiply eqn 1 by 2
14x + 6y = 402 -------- eqn 3
Subtract eqn 2 from eqn 3
14x + 6y = 402
4x + 6y = 252
( - ) -----------------------
10x = 150
x = 15
Thus cost of 1 poinsettia is $ 15
The price of a poinsettia is $15.
To determine the price of a poinsettia, we need to set up and solve a system of linear equations based on the given information.
Trey sold 7 poinsettias and 3 wreaths and raised $201. Let's denote the price of a poinsettia as 'P' and the price of a wreath as 'W'. Thus, the equation is:7P + 3W = 201
Molly sold 4 poinsettias and 6 wreaths and raised $252. Therefore, the equation is:4P + 6W = 252
To eliminate one variable, we can multiply the first equation by 2 to get:14P + 6W = 402Now, subtract the second equation from the new equation:(14P + 6W) - (4P + 6W) = 402 - 25210P = 150P = 15Therefore, the price of a poinsettia is $15.
The least-squares regression line is ________.
a. the line that passes through the most data points.
b. the line that minimizes the vertical distances of the data points from the line.
c. the line such that half of the data points fall above the line and half fall below the line.
d. All of the choices are correct.
Answer:
a. the line that passes through the most data points.
Step-by-step explanation:
Regression analysis, is used to draw the line of‘ best fit’ through co-ordinates on a graph. The techniques used enable a mathematical equation of the straight line form y=mx+c to be deduced for a given set of co-ordinate values, the line being such that the sum of the deviations of the co-ordinate values from the line is a minimum, i.e.
The least-squares regression lines is the line of best fit
Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the probability that you will lose more than $75.
Answer:
chances chances of happening = 0.0119
Step-by-step explanation:
given data
bet = $5
independent fair games = 50
solution
we will think game as the normal distribution
so here mean is will be
mean = [tex]\frac{50}{2}[/tex]
mean = 25
and standard deviation will be
standard deviation = [tex]\sqrt{50*0.5*0.5}[/tex]
standard deviation = 3.536
so
we have to lose 33 out of 50 time for lose more than $75
so as chance of doing things z score is
z score = [tex]\frac{33-25}{3.536}[/tex]
z score = 2.26
so from z table
chances chances of this happening = 0.0119
(40 pts) Corresponding parts of similar triangles are congruent.
True
False
The answer is True.
Step-by-step explanation:
Corresponding parts of similar triangles are congruent, if the two triangles are similar and then the ratio of corresponding sides is equal to the ratio of angle bisectors, altitudes and the medians of the two triangles.Consider two triangles ABC and DEF which is proportional to each other and their corresponding altitudes, medians and angle bisectors are also proportional. There are many types of triangles some of them are equilateral triangles, right triangles, obtuse triangles, acute triangles, etc.Answer:
True
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are congruent
Jean has a ride metro card. It costs $2.50 to get on the tram plus $0.75 for each stop. If Jeans metro card allows her 8 rides and costs $44 how many stops can she make?
Answer: she can make 32 stops
Step-by-step explanation:
Let x represent the number of stops that she can make.
Jean has a ride metro card. It costs $2.50 to get on the tram plus $0.75 for each stop.
If Jeans metro card allows her 8 rides and costs $44, it means that if she makes x stops, then
2.5 × 8 + 0.75 × x = 44
20 + 0.75x = 44
0.75x = 44 - 20 = 24
x = 24/075 = 32