Answer:
She can buy 36
Step-by-step explanation:
Select the correct graph.
Answer:
Graph 1
Step-by-step explanation:
The only graph that could be possible would be graph 1.
As you can see the function x = 2t - 4 is linear, and the only graph that consists of a linear line would be the first graph.
Interactive Practice: Understand Statistical Questions and Data Distributions
Each day for three weeks, Isaias records the number of eggs his chickens lay. The frequency table
shows his data.
Which statement describes the data distribution?
The frequency increases as the number
of eggs increases.
The value with the greatest frequency is
6 eggs.
The range is 8 eggs.
The distribution is spread from 2 eggs to
7 eggs.
Number of Eggs
4
5
6
7
8
||||
11
Y
X
Understanding statistical questions and data distributions is an important concept in data analysis and statistics. A statistical question is one that can be answered by collecting and analyzing data.
These questions typically ask about a population or group of individuals and are often related to trends or patterns.
Data distributions refer to the way data is spread out or distributed within a dataset. This can include measures like the mean, median, and standard deviation. Understanding data distributions is important for making accurate interpretations and predictions based on the data.
To practice understanding statistical questions and data distributions, it's important to work with real-world datasets and ask questions that can be answered using statistical analysis.
This can involve looking at trends and patterns in the data and interpreting the results in a meaningful way. By building these skills, you can become better equipped to analyze and interpret data in a variety of settings.
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The City of State College plans to issue bonds with a par value of $5,000 that will issue 8% quarterly payments for 7 years. If a
purchaser wants earn 6% per quarter over the lifetime of the bond, how much would the purchaser be willing to pay for the bond?
The solution is, 85.84 would the purchaser be willing to pay for the bond.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
•At a 1000 par value, 8%, the coupon
will be 80 (1000*0.08).
•It is also compounded quaterly = 80/4 = 20 per quarter.
•Nominal interest rate= 6%, = 1.5% per quater.
•Face value = 1000
•Since it is cimpounded quaterly, n = 5years*4 = 20
To find the redemption value at the end of five years, we need to first find the present value of the bond.
= 20/(1+0.015)+ 20/(1+0.015)² + 20/(1+0.015)³+20/(1+0.015)⁴..............+20(1+0.015)^20
= 1085.84
Therefore the redemption value after five years will be:
Present value - face value
1085.84-1000
= 85.84
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Rewrite as a piece wise function y=1/2 |x-6| +4
Answer:
y = {-1/2x +7 for x < 6; 1/2x +1 for x ≥ 6}
Step-by-step explanation:
You want y = 1/2|x -6| +4 written as a piecewise function.
DomainsThe absolute value function changes its definition when its argument is negative:
y = |x| ⇒ y = -x for x < 0, and y = x for x ≥ 0
This means our piecewise function will have one definition for (x-6) < 0 and another for (x -6) ≥ 0.
For x -6 < 0The argument is negated in this domain, so we have ...
y = -1/2(x -6) +4
y = -1/2x +3 +4
y = -1/2x +7
For x -6 ≥ 0The absolute value function is an identity function in this domain:
y = 1/2(x -6) +4
y = 1/2x -3 +4
y = 1/2x +1
Piecewise functionCombining these descriptions into one, we have ...
\(\boxed{y=\begin{cases}-\dfrac{1}{2}x+7&\text{for }x < 6\\\\\dfrac{1}{2}x+1&\text{for }x\ge6\end{cases}}\)
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The multiples of two form a sequence as follows:2,4,6,8,10,12,14,16 describe the sequence you see. What about the multiples of three?Four?Five?
Answer: The sequence firmed here is the arithmetic progression or sequence
Step-by-step explanation:
The sequence firmed here is the arithmetic progression. The numbers are given as 2,4,6,8,10,12,14,16. Here the first term is 2 and the common difference is (6-4) = 2.
Let's check to confirm. Let's find the 5th term. This will be:
= a + (n - 1)d
= 2 + (5 - 1)2
= 2 + (4 × 2).
= 2 + 8
= 10
The fifty term is 10.
This is correct as shown with the figures given.
The multiples of 3,4,5 would also make up and arithmetic progression.
simple math but im so help
Answer:
x = 2
Step-by-step explanation:
Find the volume of the triangular prism described below.
The base is a 45°, -45°, -90° triangle with a leg of 6 in. The height is 1.6 in.
The volume of the triangular prism is 28.8 cubic inches.
To find the volume of a triangular prism, we need to multiply the area of the triangular base by the height of the prism.
Given that the base is a 45°, -45°, -90° triangle with a leg of 6 inches, we can calculate the area of the triangular base using the formula:
\(Area = (1/2) \times base \times height.\)
Since the triangle is a right triangle, the base and height of the triangle are equal.
Therefore, the area of the triangular base is:
\(Area = (1/2) \times 6 \times 6 = 18 $ square inches.\)
The height of the prism is given as 1.6 inches.
To calculate the volume of the prism, we multiply the area of the triangular base by the height:
\(Volume = Area \times height = 18 \times 1.6\)
= 28.8 cubic inches.
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PLEASE HELP 50 POINTS
The total leaf mass of a certain species of young plant saplings is approximately normally distributed with a mean of 14.2 grams and a standard deviation of 0.5 grams.
a. What is the probability of obtaining a randomly chosen plant sapling with a total leaf mass of more
than 15 grams?
b. Identify the leaf mass that would represent the 99th percentile.
Answer:
THE ANSWER IS A
Step-by-step explanation:
CORRECT IF I WRONG
How often should you visit your courses
In D2L
It is recommended that you visit your courses on D2L frequently, ideally at least once a day, to stay up-to-date with any new announcements or assignments posted by your instructor. This will help you stay on track with your coursework and prevent you from falling behind. Additionally, regular visits to your courses can help you participate in discussions with your peers and ask questions if you are unsure about any of the material. It's important to remember that online learning requires a high level of self-discipline and responsibility, so making a habit of checking in on your courses regularly can contribute to your overall success in the class.
If η. is an even positive integer, the double factorial notation represents the product of all the even integers from to η. For example 8! = 2 . 4. 6. 8 . What is the units digit of the following sum?
a. 0
b. 2
c. 4
d. 6
e. 8
The units digit of the double factorial notation is the units digit of the product of all the even integers from 2 to 8, which is 8! The units digit of 8! is 8, so the answer is 8.
What is meant by the term factorials?Factorials are mathematical operations symbolized by an exclamation point following a number. To find the factorial of a number, such as 5, write it down as 5! then multiply it by all the positive integers less than 5, including 1. Therefore, 5! is equivalent to 5 x 4 x 3 x 2 x 1, or 120. Factorials are frequently employed in mathematical equations and computations, especially in probability and statistics, where they are used to calculate the number of combinations or permutations that may be made from a given collection of numbers or variables. For example, if you had 5 distinct objects and want to determine how many various combinations , you used the factorial of 5.
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Riley scored an 84 on both her math and art tests. Find both z-scores to determine which test was better.MATH: mean = 74; standard deviation = 6.1; z-score = (Round to the nearest hundredth)ART: mean = 67; standard deviation = 8.8; z-score = (Round to the nearest hundredth)Based on her z-score which test did Riley do better on?
The formula is given as;
Z = X - μ / б
where x is the score, μ is the mean and б is the standard deviation
Z- score for Math
Z = 84 - 74 / 6.1
=10/6.1
= 1.64
Z - score for Art
Z = 84 - 67 / 8.8
=17 / 8.8
=1.93
Base on the z- score, Riley did better in the Art - test
Find the amplitude, period, vertical translation horizontal translation and phase
we have that
The general equation is of the form
\(y=Asin[B(x+C)]+D\)where
A is the amplitude
period is 2π/B
phase shift is C
vertical shift is D
In this problem we have
\(y=\frac{5}{2}-\frac{1}{2}sin(3x+pi)\)Rewrite the given expression
\(y=-\frac{1}{2}s\imaginaryI n[3(x+\frac{p\imaginaryI}{3})]+\frac{5}{2}\text{ -----> equivalent expression}\)therefore
Amplitude is 1/2
Period=2pi/3
phase shift is pi/3 (to the left)
vertical shift is 5/2 (up)
How many flowers, spaced every 6 inches, are needed to surround a circular garden with a 20-foot radius?
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
Info on the graph with needing the slopes:
PLEASE HELP I REALLY AM STRUGGLING WITH THIS
I added photos of both graphs to be looked at
Using this formula, the tax on 9701 will be 970 + 0.12(9701 − 9700) = 970 + 0.12(1) = $. . This means that your tax only goes up 12 cents instead of almost $200. The graphs show these two scenarios. The correct scenario is shown on Graph 1. The incorrect scenario is shown on Graph 2.
What is the slope of the first piece of the tax function? (Graph 1)
I got y=1x+0 but I don't know if I am correct.
What is the slope of the second piece of the tax function? (Graph 2)
What do these slopes tell us??
The slope for the first piece of the tax function is given as follows:
0.1.
The slope for the second piece of the tax function is given as follows:
0.2.
It tells that for smaller salaries, the tax rate is of 10%, while for salaries on a second range, the tax rate is of 20%.
How to obtain the slope of a linear function?The slope of a linear function represents the rate of change of the output variable relative to the input variable.
For the first piece, when x increases by 5000, the output increases by 500, hence the slope m is given as follows:
m = 500/5000
m = 0.1.
For the second piece, when x increases by 5000, the output increases by 1000, hence the slope m is given as follows:
m = 1000/5000
m = 0.2.
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average salary of 25 workers in a factory is 2500 if the salary of the manager is 35000 find the average salary of 26 employees
The average salary of 26 employees is 3750.
What is average salary ?The average pay is calculated by dividing the sum of all employee salaries for a company or sector by the total number of employees. It serves as a gauge of the typical pay for workers in a given category.
The average salary of 25 workers in a factory is 2500. This means that the total salary of all 25 workers is 2500 * 25 = 62500.
The salary of the manager is 35000. This means that the total salary of all 26 employees is 62500 + 35000 = 97500.
The average salary of 26 employees is 97500 / 26 = 3750.
Therefore, the average salary of 26 employees is 3750.
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What is 1 2/10+8 1/18=
Answer: \({9}\frac{23}{90}\)
Step-by-step explanation:
there are 20 questions and i got 65 percent how many did i get wrong
7 questions were incorrect.
Answer:
you would of got 7 wrong
Step-by-step explanation:
8
ar
5 points . Find your heart rate, as well as the
heart rate of a friend. Using this information and
So what you know about pattern rules and
algebraic equations, explain why figuring out
how many times your heart beats in 24 hours is
not any more difficult than figuring out how
many times it beats in one hour. Present this
Information in the format of your choice.
write the equation of the line passing through the points (-2, 8) and (-8, 2)
Answer:
The answer is y = x+10
Step-by-step explanation:
\(y - 8 = 1(x + 2) \\ y = x + 2 + 8 \\ y = x + 10\)
\(m = \frac{y2 - y1}{x2 - x1} = \frac{8 - 2}{ - 2 - ( - 8)} = \frac{6}{6} = 1\)
\(y - y0 = m(x - x0)\)
Students rented buses and vans to go to a hockey game. There were 8 vans and 12 buses for 360 students.
a.) Write an equation to represent the problem.
b.) If each bus carries 24 students, how many students can the van carry?
Answer:
A: 8v+12b=360
V= van
B= Bus
B: Each van=9
Need to ride in vans:72
Step-by-step explanation:
12 buses 24 in each bus that equals 288. 360-288=72
and if you need to know how many are in each van you divide 72 by the number of vans that would be 9 per van.
Hurry help Greg plants a seed and as soon as the plant sprouts, he measures its height each day and records his data for two weeks. If the plant continues to grow the whole two weeks, what would a line graph of Greg's data look like?
It would be flat.
It would move downward.
It would go up and down.
It would move upward.
The line graph of Greg's data wood look like "It would move upward."
What is graph?A graph is a visual representation of data that shows the relationship between two or more variables. There are several types of graphs that can be used to display data
If Greg is measuring the height of the plant each day and the plant is continuing to grow for two weeks, then the line graph of his data would move upward. The graph would show an increasing trend as the plant grows taller each day. Therefore, the correct answer is "It would move upward."
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Which fraction shows the reciprocal of the whole number 15? Group of answer choices 15/1 10/15 5/15
Step-by-step explanation:
10/15 and 5/15 aren't correct. Both aren't equal to a whole number. Irrational numbers.
15/1 is correct. The denominator is over 1, which makes the numerator equal to a whole number, 15.
solve it plssssssssssssss
Answer:
The area of the living room is 20x20 or 400 square feet
the area of the dining room is 15x10 or 150 square fee
The sum of the areas of the two rooms is 400+150 or 550 square feet of carpeting
Hope that helps :)
Have a wonderful day!
Answer:
the area of the living room is 20 x 20 or 400 square feet the area of the dining room is 10 x 15 or 150 square feet the sum of the two rooms is 400 + 150 or 550 square feet of carpeting
Step-by-step explanation:
Help help math math
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
Katrina and her family received 147 pieces of chocolate packed in boxes of 21. Her family ate 3 boxes of chocolate. How many boxes are left? Step by step explanation. Pls help!
does someone know the correct answer?
Answer:
C
Step-by-step explanation:
What is x? Because I don’t know g how to work it out
Answer:
45 degrees
Step-by-step explanation:
The 4 angles of a quadrilateral will add to 360.
We know 1 of them (angle B) is 90 degrees.
We can set up an equation to solve the others.
2x+3x+x+90 = 360
Now solve for x.
Start by combining the x terms together.
6x+90 = 360
6x = 360-90
6x = 270
(6x/6) = 270/6
x = 45 degrees
Check back to see if that makes sense and if the equation equals 360 when x is 45:
2x+3x+x+90 = 360
2(45)+3(45)+45+90=360.
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3. There are 18 girls in the class. What is the TOTAL number of students in Ms. Cunningham’s class?
Responses
The total number of students(boys and girls) in Ms. Cunningham’s class are 30.
Number of girls in the class =18
The ratio of boys to girls in Ms. Cunningham’s class is 2 to 3
i.e. Ratio of boys and girls =2:3
Boys : Girls = 2 : 3
B/G = 2/3 -------1.
B/18 = 2/3
B = (18 x 2)/3
Boys = 12
Number of boys in the class = 12
Boy = 2x
12 = 2x
x = 12/2 = 6
number of girls in the class is 3x
3 x 6 = 18
Therefore, total number of students =12+18=30
The total number of students(boys and girls) in Ms. Cunningham’s class are 30.
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Please help me with this
An example of a function that models a linear relationship between two quantities, x and y is y = mx + b
How to explain the functionWe need to use the equation of a straight line, which is commonly expressed in slope-intercept form as:
y = mx + b
In this function, x represents the independent variable, m is the slope of the line, and b is the y-intercept. To use this function, we simply plug in the values of x, m, and b that correspond to the specific relationship we are modeling.
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