Answer:
150
Step-by-step explanation:
Collected bills: 18 * 10= 180
1/6 of 180 = 30
180-30=150
Answer:
15 ten dollar bills, 150 dollars
Step-by-step explanation:
1/6 of 18 is 3, so he gave 3 bills to the theater and kept the other 15 for himself
please help this is for my study guide thanks!
Answer:
-23/40, 9/24, 20/32, 7/8, 10
Step-by-step explanation:
There are 29 fewer bigstickers on the sticker sheet than the little stickers.there are 62 little stickers on the sheet .how many big stickers are there
Answer:
33
Step-by-step explanation:
you subtract 29 from 62 because there are 29 less big stickers
There are 33 big stickers on the sticker sheet.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
Total number of little sticker = 62
And, There are 29 fewer big stickers than the little stickers.
Now,
Since, Total number of little sticker = 62
And, There are 29 fewer big stickers than the little stickers.
So, we can formulate;
Number of big stickers = 62 - 29
= 33 stickers
Thus, There are 33 big stickers on the sticker sheet.
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if the probability of passing a driving test is 0.9,what is the probability of failing the driving test
Answer:
0.1
Step-by-step explanation:
Lol hi again . hope this helped you
Which of the following z-scores is NOT outside the middle 68% of the data for a normal distribution?
a.) -0.8
b.) -2.8
c.) 1.8
d.) 3.8
Answer:
Step-by-step explanation:
A, use three_digite rounding arithmetic to compute 13- 6 and determine the absolute,relative ,and percentage errors.
tepeat part (b) using three – digit chopping arithmetic.
Solve p + 5 = 8.
P=?
Answer:
p=3
Step-by-step explanation:
3+5=8. So p=3.
Answer:
3
Step-by-step explanation:
p+5=8
-5 -5
p=3
what is 4/9 - 2/5 and then the answer simplified
Answer:
2/45
Step-by-step explanation:
4/9 - 2/5
20/45 - 18/45
= 2/45
8 students are in a reading room. some of the students leave. how many studen
Answer:
4 students is for yes is 4
Show that sin^2x cos^2x = 1/8-1/8 (see image)
Trigonometric identity proof: \(sin^2xcos^2x = 1/8 - 1/8cos(40)\) using double angle identities.
How to use trigonometric identity to proof the given problem?
We can use the trigonometric identity sin(2x) = 2sin(x)cos(x) to rewrite the left-hand side of the equation:
\(sin^2(x)cos^2(x) = (sin(2x)/2)^2 * (cos(2x)/2)^2= sin^2(2x)/16\)
We can also use the double angle identity \(cos(2x) = 2cos^2(x) - 1\) to rewrite \(sin^2(2x):\)
\(sin^2(2x) = 1 - cos^2(2x)\)
\(= 1 - (2cos^2(x) - 1)^2\)
\(= 1 - (4cos^4(x) - 4cos^2(x) + 1)\)
\(= -4cos^4(x) + 4cos^2(x)\)
Substituting this expression back into the original equation, we have:
\(sin^2(x)cos^2(x) = sin^2(2x)/16\)
\(= (-4cos^4(x) + 4cos^2(x))/16\)
\(= (1 - cos^2(x))/4 - cos^4(x)/4\)
\(= (1/4) - (1/4)cos^2(x) - (1/4)cos^4(x)\)
Now we use the double angle identity again, this time for cos(4x):
\(cos(4x) = 2cos^2(2x) - 1\)
\(= 2(2cos^2(x) - 1)^2 - 1\)
\(= 8cos^4(x) - 8cos^2(x) + 1\)
Substituting this expression into the preceding equation yields:
\(sin^2(x)cos^2(x) = (1/4) - (1/4)cos^2(x) - (1/4)[(cos(4x) + 8cos^2(x) - 1)/8]= (1/4) - (1/4)cos^2(x) - (1/32)cos(4x) - (1/32)\)
Simplifying this expression, we obtain:
\(sin^2(x)cos^2(x) = 1/8 - (1/8)cos(40)\)
Therefore, we have shown that \(sin^2(x)cos^2(x) = 1/8 - 1/8cos(40)\).
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A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
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A boy stands 20m away from the foot of the tree. The angle of elevation of the top of the tree from 1.5m above the ground is 24 degree. calculate the height of the tree.
Answer: 10.4m
Step-by-step explanation:
Math in the Midwest 2019 puzzle three
The code that correctly matches and shows the correct solution to the system of inequalities are
E IRGA statement that describes the graph of a system of equations that has no solution is: T. parallel lines.
How to graph the solution to this system of inequalities?In order to to graph the solution to the given system of inequalities on a coordinate plane, we would use an online graphing calculator to plot the given system of inequalities and then take note of the point of intersection (solution).
What is no solution?In Mathematics, no solution is sometimes referred to as zero solution, and an equation is said to have no solution when the left hand side and right hand side of the equation are not the same or equal.
This ultimately implies that, a system of equations would have no solution when the representing each of the equations are parallel lines and have the same slope i.e both sides of the equal sign are the same and the variables cancel out.
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I have a Statistics question and need help with the plots????
Definition: Statistical Questions
A statistical question is a question that can be answered by gathering data and a question for which we expect to have variation in the data we collect.
Example 1: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: How tall are you?
Answer
To answer this question, we just have to record one height. There will be no variability in the data which means that it is not a statistical question.
Example 2: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: What are the heights of the players of your favorite soccer team?
Answer
The answer to this question would be a list of the heights of the players on the team. We expect that there will be variability in the data we collect because not everyone will be the same height. Therefore, this is a statistical question.
Example 3: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: In general, how tall are humans?
Answer
An answer to this question could be the mean of the heights of a sample of humans. Therefore, to answer it, we need to collect the data which tells us the heights of different people. Since people are of different heights, there will be variability in the data we collect. Hence, it is a statistical question.
In the above examples, we saw that a statistical question can be answered by a list of data like the heights of a group of people or by a single value that summarizes a set of varied data, like the mean of people’s heights. A question is not statistical if the data we collect to answer it is a single value.
Note that the data collected to answer statistical questions does not have to be numerical. There are two types of data we could collect: numerical and categorical.
Definition: Numerical and Categorical Data
In a numerical data set, all of the data values are numbers. For example, data sets summarizing ages, weights, or heights contain numerical data.
In a categorical data set, the data can be grouped into categories. For example, a data set recording the eye colors of a group of people contains categorical data and each eye color can be thought of as a category.
The first three examples we considered contained questions that could be answered by numerical data. These last two example shows questions that would be answered by categorical data.
Example 4: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: What is your favorite subject?
Answer
The answer to this question is a single subject; we do not have to collect data with variability to answer the question. Therefore, it is not a statistical question.
Example 5: Deciding Whether a Question Is Statistical
Determine whether the following is a statistical question: How do students travel to school?
Answer
To answer this question, we would have to collect data about how students travel to school: by car, bike, or bus for example. Since we expect the students’ answers to vary, this is an example of a statistical question.
Penelope goes out to lunch. The bill, before tax and tip, was $16.05. A sales tax of 3% was added on. Penelope tipped 18% on the amount after the sales tax was added. How much tip did she leave? Round to the nearest cent.
Answer:
2.98
Step-by-step explanation:
First find 3% of 16.05 which is 0.48.
Then add 0.48 to 16.05 which is 16.53.
Then multiply .18 by 16.53 which gets you 2.98
Hope it helps
Answer:
To find the amount of the sales tax, we need to multiply the bill amount by the tax rate of 3% or 0.03:
Sales tax = 0.03 x $16.05 = $0.48
To find the total amount of the bill after the sales tax was added, we need to add the bill amount to the sales tax:
Total bill = $16.05 + $0.48 = $16.53
To find the amount of the tip, we need to calculate 18% of the total bill after the sales tax was added:
Tip = 0.18 x $16.53 = $2.98
Rounding to the nearest cent, Penelope left a tip of $2.98.
Step-by-step explanation:
Find each percent. 5 is what percent of 15?
Answer:
0.75
Step-by-step explanation:
this is what popped up in my calculator so i hope this helps you. :)
Each triangle in the quilting square pattern shows has a base and height of 2 inches how much fabric is needed to create one quilting square
Answer:
The amount of fabric needed to create one quilting square is 8 inches.
Answer:
The amount of fabric needed to create one quilting square is 8 inches.
Step-by-step explanation:
Suppose tossing a coin 8 times represents the 8 cups of tea, heads represents a correct identification of what was poured first, tea or milk, and tails represents an incorrect identification of what was poured first. Select the best conclusion you would draw about whether the woman was just guessing.
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
B. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
C. Repeat the process many times (1000). If 8 correct out of 8 cups rarely occurs, then it is likely that the woman was just guessing as to what was poured first.
D. Repeat the process many times (1000). If 4 correct out of 8 cups rarely occurs, then it is unlikely that the woman was just guessing as to what was poured first.
Answer:
A. Repeat the process many times (1000). If 6 correct out of 8 cups rarely occurs, then it is most likely that the woman was just guessing as to what was poured first.
Step-by-step explanation:
Since tossing a coin 8 times implies 8 cups of tea, with the given conditions.
The sample space = 1000
Then;
\(\frac{6}{8}\) × 1000 = 750
If 6 correct out of 8 cups occurs (750 out of 1000), the woman got 750 correctly. Thus it can be inferred that it is likely that she knew what was poured first, either the tea or milk.
But, if 6 correct out of 8 cups rarely occurs (i.e 250 out of 1000), then it is most likely that the woman was just guessing as to what was poured first.
1a. Alex skateboards at a constant speed from his house to school 4 miles away. It takes him 15 minutes. What fraction represents his constant speed, C?
What is the value of x?
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27
Nao and Arban drive to work.
Nao drives 95 miles in 2.5 hours.
Arban drives 128 km in 1 hour 15 min.
Work out the difference between their average speeds in km/h.
1 mile = 1.6 km
Thank You.
Answer:
41.6 km/h
Step-by-step explanation:
Nao drives 95mi/2.5hr or 38 miles per hour, or 60.8 km/h
1 hr 15 min is the same as 1.25 hours
Arban drives 128km/1.25hr or 102.4 km/h
The difference is 102.4-60.8 = 41.6
If a family borrows $12,843 for an addition to their home, and the loan is to be paid off in monthly payments over a period of 5 years, how much should each payment be? (Interest has been included in the total amount borrowed.)
The monthly payments over a period of 5 years is $214.05.
What is fixed rate mortgage?A fixed-rate mortgage is a home loan option with a specific interest rate for the entire term of the loan. Essentially, the interest rate on the mortgage will not change over the lifetime of the loan and the borrower's interest and principal payments will remain the same each month.
Given that, a family borrows $12,843 for an addition to their home.
The loan is to be paid off in monthly payments over a period of 5 years
We know that, 5 years = 60 months
Now, monthly payment = Total money/Number of months
= 12,843/60
= $214.05
Therefore, the monthly payments over a period of 5 years is $214.05.
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Which relationship is represented by the graph?
Radius of a circle vs. its diameter
Circumference of a circle vs. its diameter
Area of a circle vs. its diameter
Explain your thinking.
This is because the diameter is independent towards the
unlabeled axis; just like how the circumference is depending on
the diameter.
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What is the constant of proportionality?
The constant of proportionality is usually used in stuff regarding to coordinates. It basically is that values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right. Those two values are proportional because they'll continue to move at the same predictable rate. The image below is that line. It doesn't just apply to linear equations though, it can apply to other kinds, like exponential or absolute value equations.
Sorry if this wasn't super concise, as this is a really hard topic to explain just over text. However, if it did help a lot, please give me brainliest as I'm trying to rank up. Thanks!
Constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
What is Graph?
Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The relationship between diameter of circle and radius of circle is d=2r
Relationship between Area of a circle vs. its diameter
Area of circle=π(d/2)²
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
The values increase or decrease proportionally to another value, such as on a graph, say you have a linear equation that gains 4 units up for every 3 units it moves to the right.
The x and y values are proportional because they'll continue to move at the same rate.
Hence constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship.
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In a triangle with angles measuring a, b and c degrees, the mean of b and c is a. What is the
value of a?
Answer:
60
Step-by-step explanation:
\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)
Therefore, the value of a is 60 degrees
Is 60o grams equal to 6 kilograms
Answer: No, they are not equal
1 kilogram = 1000 grams
6 kilograms = 6*1000 = 6000 grams
so we see that 6 kilograms is larger than 600 grams
Put another way,
600 grams = 600/1000 = 0.6 kilograms
Alex made $28.74 for three hours of work at his job at the pet store . If he works a total of 40 hours in one week , how much money would he make before taxes are taken from his paycheck
Answer:
$383.20
Step-by-step explanation:
28.74 ÷ 3 = $9.58 per hour
9.58 x 40 = 383.20
An airplane descends at a rate of 500 feet per minute.Write and evaluate an expression to show how far the plane will descend in 6 minutes.
Answer:
500/6 min if I'm correct
Step-by-step explanation:
Please help if u get these all right i will mark brainliest
Determine the validity of the converse and give a counterexample if the converse is not valid.
If it is sunny, then it is 80° Fahrenheit. The converse is valid.
If it is 80° Fahrenheit, then it is sunny. The converse is valid.
If it is not sunny, then it is not 80° Fahrenheit. The converse is invalid; a counterexample is a day that is not 80° Fahrenheit and not sunny.
If it is 80° Fahrenheit, then it is sunny; The converse is invalid; a counterexample is a day that is 80° and cloudy.
Your analysis is correct. Here's a summary:
If it is sunny, then it is 80° Fahrenheit. (Original statement)
Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)
If it is not sunny, then it is not 80° Fahrenheit. (Original statement)
Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)
Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).
If it is 80° Fahrenheit, then it is sunny. (Original statement)
Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)
Counterexample: A day that is 80° Fahrenheit and cloudy.
In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").
Quinn is trying to drink more water, so he has been keeping a log of how much water he
drinks. Quinn drank 30 ounces of water two days ago. Yesterday, he drank 20% less. How
much water did he drink yesterday?
-2x - 8y = 14, 2x + 8y = - 14
prove that there exist only five regular polyhedron
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.
Proving there exist Five Regular PolyhedronThe five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.
The five regular polyhedra are:
1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.
2. Cube: It has six square faces, and three squares meet at each vertex.
3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.
4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.
5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.
To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:
"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".
For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:
V - E + F = 2
=> kV/2 - kE/2 + F = 2
=> k(V/2 - E/2) + F = 2
Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:
k(V/2 - (nF)/2) + F = 2
=> (kV - knF + 2F)/2 = 2
=> kV - knF + 2F = 4
Now, we need to consider the conditions for a valid polyhedron:
1. The number of faces (F), edges (E), and vertices (V) must be positive integers.
2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.
Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:
(n, k) pairs:
(3, 3) - Tetrahedron
(4, 3) - Cube
(3, 4) - Octahedron
(5, 3) - Dodecahedron
(3, 5) - Icosahedron
Therefore, there exist only five regular polyhedra.
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