Answer:
Step-by-step explanation:
Bicycles have two wheels whereas Trikes have 3 wheels. Let x be the number of bicycles2x=30[tex]\frac{2x}{2} =\frac{30}{2} \\x=15[/tex]There were 15 bicyclesLet y be the number of trikes3x=30 since there were same number of trikes as bicycles[tex]\frac{3y}{3} =\frac{30}{3} \\y=10[/tex]There were 10 Trikes[estimate] 245.7+5.8=?
Answer:
estimate 245.7+5.8
251.5
Unit 1 geometry basics
Homework 5 angle relationships
Answer:
Where is the question?
R= S If m R =3x +5 an m S =5x-25 solve for x and find m R
The values of x and m∠R are 15 and 50 respectively.
How to determine the valuesFrom the information given, we have the following parameters;
R = Sm ∠ R = 3x + 5m ∠ S = 5x - 25Now, let's equate the angles
m ∠ R = m ∠ S
3x + 5 = 5x - 25
collect like terms
3x - 5x = -25 - 5
subtract like terms
-2x = - 20
Make 'x' the subject
x = -30/ -2
x = 15
But m ∠ R = 3x + 5 = 3(15) + 5 = 45 + 5 = 50
Thus, the values of x and m∠R are 15 and 50 respectively.
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In a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition. Based on this poll, compute a 95% confidence interval for the proportion of all U.S. adults in favor of the proposition (at the time of the poll). Then find the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to two decimal places.
Lower Limit:
Upper Limit:
Lower limit of 95% confidence interval is 0.464 and upper limit of 95% confidence interval is 0.594
What is Z value of 95% confidence interval and how to find 95% confidence interval?
A Z value is a numerical measure of how far is an individual score is from the mean score, within a normal distribution.
The Z value for 95% confidence interval is Z=1.96.
Let p the estimated proportion of people in favor of a proposition and n be the sample size, n = 225
Marginal error = [tex]Z\sqrt{\frac{p(1-p)}{n} }[/tex]
Lower limit of 95% confidence interval = Z - Marignal error
Upper limit of 95% confidence interval = Z + Marginal error
Given that in a poll of 225 randomly selected U.S. adults, 119 said they favored a new proposition,
The estimated proportion of people favored a new proposition is, p =[tex]\frac{119}{225}[/tex]
Then, p = 0.529
Marginal Error = [tex]Z\sqrt{\frac{p(1-p)}{n} } = 1.960\sqrt{\frac{0.529(1-0.529)}{225} }[/tex] = 0.065
Therefore,
Lower limit of 95% confidence interval =0.529-0.065 = 0.464
Upper limit of 95% confidence interval = 0.529+0.065 = 0.594
And the 95% confidence interval would be given (0.464,0.594).
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The diameter of a circular rug is 7 m. Find the area it will cover.
The area covered by circular rug of diameter 7 is 38.5 m².
What is the area of a circle?Circle is locus of points equidistant from a center point. This distance from center to the boundary of circle is radius.
If r is the radius of a circle , then its Area = π(r²)
Given that a circular rug has diameter = 7 m
Then, Let radius of circular rug be r ,r = diameter /2
r = 7/2 m
Area = π(7/2)² = (22/7)*(7/2)² m² = 38.5 m²
Therefore , Area of the circular rug is 38.5 m²
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A circle is centered at the origin and has a radius of 4 units. Which points on the circle have a y -coordinate of 3?
Answer:The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
Step-by-step explanation:
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
The equation of a circle usually takes the form;
(x-a)² + (y-b)² = r²
where a and b are x- and y- coordinates of the center of the circle.
In this scenario, the center is at the origin (0,0).
In essence, the points on the circle which have an x-coordinate of 1 can be evaluated as follows;
(1-0)² + (y - 0)² = 4²
1 + y² = 16.
y² = 15
y = ±√15.
The points on the circle which have an x-coordinate of 1 are:. (1,+√15) and (1,-√15)
which data set would be best represented by a line graph?
j the change i population of a particular city over the last 100 years
k. the percentage of recent u.s. immigrants from different continents
l. the numbger of people living in each region of a state
m. the wages in dollars per hour o store employees
n. the heights oan weights of people in a city
The data set which would be best represented by a line graph is; Choice j: The change in population of a particular city over the last 100 years.
Which is best represented by a line graph?It follows from the task content that the data set which is best represented by a line graph is.to.he identified.
On this note, since choice J measures the change in a dependent quantity, population according to a change in the independent variable, time.
Consequently, choice J is best represented by a line graph.
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Help asap im struggeling
The range and domain for the exponential function and logistics function are Expotentioal function : Domain= (2, infinity )
Exponential function:
An exponential function is a mathematical function of the following form: f ( x ) = a x. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.
Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent. An example of an exponential function is the growth of bacteria. Some bacteria double every hour.
In exponential notation, a number usually is expressed as a coefficient between one and ten times an integral power of ten, the exponent. To express a number in exponential notation, write it in the form: c × 10n, where c is a number between 1 and 10 (e.g. 1, 2.5, 6.3, 9.8) and n is an integer (e.g. 1, -3, 6, -2
Definition of logarithmic function: a function (such as y = log x or y = ln x) that is the inverse of an exponential function (such as y = ax or y = ex) so that the independent variable appears in a logarithm.
Expotentioal funtion :
Domain= (2, infinity )
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The exponential function's and the logistical function's range and domain are Exponential purpose: Domain= (2, infinite ) (2, infinity )
Explicit function
A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered.
When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.
The exponential function's and logistics's domain and range
When b > 0 and b 1, an exponential function has the form f(x) = bx. The base is b, and the exponent is x, just like in any exponential expression. The development of bacteria is an illustration of an exponential function. Some germs multiply by two per hour.
A number is typically written in exponential notation as a coefficient between one and ten times an integral power of ten, the exponent. When writing a number in exponential notation, use the format: c 10n, where c is an integer and n is a number between 1 and 10 (for example, 1, 2.5, 6.3, 9.8).
A logarithmic function is one that is the inverse of an exponential function, such as y = ax or y = ex, and causes the independent variable to appear in a logarithm. Examples of such functions include y = log x and y = ln x.
Expotentioal funtion :
Domain= (2, infinity )
A deck of cards contains RED cards numbered 1,2,3,4 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 4 is an example of which of the following events? Select all correct answers.
Answer: what is question here?
Step-by-step explanation:
Where are answers?
Look at this diagram:
C
D
E
F
G
H
I
J
If
DF
and
GI
are parallel lines and mFEH = 134°, what is mDEH?
Answer:
Step-by-step explanation:
ihe
The teacher wants to encourage her students by reporting that, overall, the scores were high. Should she use the mean or median to summarize the center of the distribution of scores? She could choose either one because they are equal. She should report the mean because it will be greater than the median. She should report the median because it will be greater than the mean. All the missing scores are needed in order to decide.
She should report the Mean because it will be greater than the Median.
Let's start with the example from before. Imagine you teach a class with 20 students, and they take a test with 20 multiple choice questions about the Revolutionary War. Imagine that the grades you get back from scoring their tests look like this:
Student #1: 20 Student #6: 12 Student #11: 10 Student#16:8Student #2: 17 Student #7: 12 Student #12: 10 Student#17:6 Student #3: 16 Student #8: 12 Student #13: 10 Student #18:6 Student #4: 14 Student #9: 10 Student #14: 8 Student #19:4 Student #5: 14 Student #10: 10 Student #15: 8 Student#20: 3So you can see we have student #1 through student #20, and you can see that the scores range quite a bit. Looking at these scores you can see that one student, student #1, got a perfect score of 20 out of 20. Many students got scores somewhere in the middle, with five students getting half of the questions right - that would be a score of 10 out of 20. A few of the students did pretty well, only missing a few questions, While a few students did pretty badly but at least got a few of the questions right.
Let's say the principal of your school wants a quick summary of how your students did on their test. How would you summarize the results? The most common type of statistic, in either the context of the classroom assessment or in laboratory research projects, is statistics of summary. There are various types of Statistics of summary, but in general their purpose is to quickly give an general impression of the overall trend in results. So, just like you'd guess, based on the term Statistics of summary, these statistics just give you a ballpark idea of what happened on the test.
The most well-known statistic of summary is called the mean, which is the term we use for the arithmetic average score. When most people use the term 'average score,' what they're really referring to, technically, is what we call the mean. How do we calculate the mean? We simply add up all of the individual results, get the total, and then divide by the number of students in the class. In our example, you can see how this would look on the screen. If you add up the scores of 20 + 17 + 16 and so on through all 20 students, you get a total score of 210. You divide 210 by 20 (the number of students), and you get a mean of 10.5. You can see that this score, 10.5, is a pretty representative score of the middle score for this class, so it works nicely as a summary.
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Mr. McDahl has planned a day of independent work for his English students when they next have a substitute teacher. One-third of the students choose to work on an essay. One-half of the remaining students choose to read. The remaining 5 students work on vocabulary. How many students are present in the class on that day?
The total number of student present in the class is 15.
How to express the number of student in the class?One-third of the students choose to work on an essay.
Let
x = the total number of student in the class
Therefore,
student that takes essay = 1 / 3 x
One-half of the remaining students choose to read.
Therefore, the expression is as follows
student that choose to read = 1 / 2(x - 1 / 3 x) = 1 / 2( 3x - x/ 3) = 1 / 2(2 / 3 x) = 2 / 6 x = 1 / 3x
The remaining 5 students work on vocabulary. Therefore, the expression is as follows:
Student that works on vocabulary = x - 1 / 3 x - 1 / 3 x
5 = x - 1 / 3 x - 1 / 3 x
5 = 3x- x - x / 3
5 = x / 3
x = 15
Therefore,
the student present in the class = 1 / 3 (15) + 1 / 3(15) + 5
the student present in the class = 5 + 5 + 5
the student present in the class = 15
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the bookstore sold 8 books for 66$ at that rate how much would one book be.
A coffee company wants a new flavor of Cajun coffee. How many pounds of coffee worth $10 a pound should be added to 30 pounds of coffee worth $4 a pound to get a mixture worth $6 a pound? To get a mixture worth $6 a pound, pounds of coffee should be added. (Type an integer, proper fraction, or mixed number.) what is this answer please need help
The weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds the mixture will be 15 pounds
Let the weight of coffee worth $10 to be added to mixture be x pounds
The weight of coffee worth $4 to be added to mixture is 30 pounds
We want a mixture that worth $6 a pound
The weight of mixture of coffee worth $ 6 is the sum of $10 coffee and $4 coffee
= x + 30
From the above equation we can form a linear equation
X 10 + 30 ×4 = (x+ 30) 6
10x + 120= 6x +180
10x-6x= 180 -120
4x = 60
X= 15
Hence, the weight of coffee worth $10 to be added to mixture to worth $6 a pound is 15 pounds
what's a linear equation ?
A linear equation only has one or variables. No variable in a linear equation is raised to a strength greater than 1 or used because the denominator of a fraction. while you discover pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all the factors lie at the same line
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Question 41
By the time Janet pays off the loan, what is the total cost of her trip?
Question 4 options:
$3,500
$4,441.17
$3,681.42
$3,685.05
Question 5
What is the equation to find your new balance after each month?
Question 5 options:
New balance = Previous balance - Interest paid
New balance = Previous balance - Principal paid
New balance = Principal paid - Interest paid
New balance = Previous balance - Total monthly payment
Доброе утро, отве $3,500
Find the solution to the given system of equations.
⎧
⎪
⎨
⎪
⎩
−
5
x
+
6
y
+
8
z
=
−
17
−
5
x
+
5
y
+
9
z
=
−
13
−
x
+
y
+
2
z
=
−
2
break down the equations into parts and use simultaneous equation method to solve it
-3+p/7=-5 help step by step please ???
The bar graph shows how we spend our leisure time. Use the graph to represent the set of leisure activities in
which participation exceeds 59% using the roster method.
Choose the set of leisure activities in which participation exceeds 59%
O (Playing Sports, Home Improvement, Amusement Parks, Gardening, Movies, Exercise)
O (Movies, Exercise)
O (Exercise)
O (Gardening, Movies, Exercise)
an example
6
Get more help.
% Households Participating in Activity
Exercise
Movies
Gardening
Amusement Parks
Home Improvement
Playing Sports)
Sport Events
61%
60 %
55%
51%
47%
39 %
37%
Clear all
bl
C
Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -
A = {Exercise, movies}.
What is Bar graph?A bar graph can be defined as a chart or a graphical representation of data, quantities or numbers using bars.
Given is a bar graph that shows the time spend in leisure activities.
The set of leisure activities in which participation exceeds 59% can be represented in roster form by writing all such activities one by one separated by commas inside the parenthesis bracket { }. From the bar-graph it is clear that the activities in which participation exceeds 59% are Exercise and movies. In the roster form, we can write them as -
A = {Exercise, movies}.
Therefore, the set of leisure activities in which participation exceeds 59% can be written using roster - form as follows -
A = {Exercise, movies}.
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Use the graph of y=f(x)
15 points
what is 1+1 guys
Answer:
2
Step-by-step explanation:
which number class does -17 belong to
The abstract class Number is the superclass of classes BigDecimal , BigInteger , Byte , Double , Float , Integer , Long , and Short .
Step-by-step explanation:
Find x and y in the following figure.
Answer:
x=48, y=12
Step-by-step explanation:
Angles in a triangle add to 180°.
In triangle AOD,
[tex]90+x-6+x=180 \\ \\ 2x-6=90 \\ \\ 2x=96 \\ \\ x=48[/tex]
Similarly, in triangle COB, y=12.
240 % of a number is 68000, what is that number
Answer:
28333.33
Step-by-step explanation:
68000/240% = 28333.33333333333
= 28333.33
he following selected accounts appear in the ledger of Parks Construction Inc. at the
beginning of the current year:
Preferred 2% Stock, $75 par (100,000 shares authorized, 80,000 shares issued) . . . . . . . $ 6,000,000
Paid-In Capital in Excess of Par—Preferred Stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 420,000
Common Stock, $8 par (5,000,000 shares authorized, 3,000,000 shares issued) . . . . . . . 24,000,000
Paid-In Capital in Excess of Par—Common Stock . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1,850,000
Retained Earnings . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115,400,000
During the year, the corporation completed a number of transactions affecting the
stockholders’ equity. They are summarized as follows:
a. Issued 400,000 shares of common stock at $11, receiving cash.
b. Issued 5,000 shares of preferred 2% stock at $90.
c. Purchased 150,000 shares of treasury common for $10 per share.
d. Sold 80,000 shares of treasury common for $13 per share.
e. Sold 20,000 shares of treasury common for $9 per share.
f. Declared cash dividends of $1.50 per share on preferred stock and $0.06 per share
on common stock.
g. Paid the cash dividends.
Based on the events that occurred on January 5, and February 10, journal entries for Parks Construction Inc. are:
Date Account title Debit Credit
Jan. 5 Cash $4,400,000
Common stock $3,200,000
Paid-in capital in excess of par- Common $1,200,000
Feb 10 Cash $450,000
Common stock $375,000
Paid-in capital in excess of par - preferred $75,000
How to find the common stock value?The cash would be:
= 400,000 x 11
= $4,400,000
The common stock value would be:
= 400,000 x 8
= $3,200,000
The cash from preferred stock:
= 5,000 x 90
= $450,000
Preferred stock:
= 50,000 x 75
= $375,000
The question is:
Journalize the entries to record the transactions on January 5 and February 10. . Refer to the Chart of Accounts for exact wording of account titles.
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Give the domain and range of the relation.
{(6, 6), (11, -5), (3, 4), (3, -3)}
Answer:
Domain: {3, 6, 11}
Range: {-5, -3, 4, 6}
Step-by-step explanation:
The domain is the set of x values and the range is the set of y values.
Find the equation of a line parallel to y=−4x+3 that contains the point (3,−3).
HELPPP
help please asap i need it
Writing proportional equations from tables
For f(x) = 2 - x and g(x)= 3x +x+5, find the following functions.
a. (fog)(x); b. (gof)(x); c. (fog)(2); d. (gof)(2)
a. (fog)(x)=-3x²-x-3
(Simplify your answer.)
b. (gof)(x) = 3x² - 13x+19
(Simplify your answer.)
c. (fog)(2)= -17
d. (gof)(2)= ?
The answers are below.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
How to find the following functions?Just replace evaluate the function g(x)= 3x² +x+5 insode of the function f(x) = 2 - xfor the first one.
a) (fog)(x) = f(g(x)) = 2 - ( 3x² +x+5) = -3x² - x - 3
b) (gof)(x) = g(f(x)) = 3*(2 - x)² + (2 - x) +5 = 3x² - 13x + 19
ok, now that you have these two values, just evaluate the equations in x = 2 to get the rest.
a) (fog)(2) = -3x² - x - 3 = -3*4 - 2 - 3 = -12 - 2 - 3 = -17
b) (gof)(2) = 3x² - 13x + 19 = 3*4 - 13*2 + 19 = 12 - 26 + 19 = 5
These are the outcomes when we evaluate the compositions in x = 2.
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Part C Explain the similarities and the differences between the two relationships in this situation.
Answer:
well I can't really answer I'm just gonna give you an example say the the difference between the relationship and situation about cups the relationship would be the cup and the situation is the size
