Answer:
17/6 or 2 5/6
Step-by-step explanation:
4 1/3-1 1/2 4*3+1=13 . 2*1+1=3
13/3-3/2 LCD=6
26/6-9/6
26-9/6
17/6 convert to mixed fraction 2 5/6
The next two questions utilises the following diagram: The diagram above can be used to assess the popularity of four languages spoken in South Africa. The numbers in the diagram represent the number of people who speak that particular language or combination of languages. 9. The proportion of people who speak English and isiXhosa only is: (A.) 0.103 (B.) 0.074 (C.) 0.031 (D.) 0.183 (E.) 0.706 10. Which is the most widely spoken language? (a) English (b) isiXhosa (c) isiZulu and isiXhosa (d) isiZulu (e) Sesotho
The proportion of people who speak English and isiXhosa only is 0.031 (C).
The most widely spoken language is isiZulu (d).
To find the proportion of people who speak English and isiXhosa only, we need to consider the number of people who speak English and isiXhosa only (highlighted in the diagram) divided by the total number of people. Looking at the diagram, we see that the number of people who speak English and isiXhosa only is 50, and the total number of people is 1,600. Therefore, the proportion is\(50/1,600 = 0.031\), which corresponds to option (C).
To determine the most widely spoken language, we need to identify the language with the highest number of speakers. Looking at the diagram, we can see that the language with the highest number is isiZulu, represented by the square at the bottom left, which has a count of 900. Therefore, the most widely spoken language is isiZulu, corresponding to option (d).
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Can someone please help me
Answer:
G
Step-by-step explanation:
Which expression is equivalent to 81 + 18?
A. 9(9 + 2)
B. 9(9 + 9)
C. 9(9 + 3)
D. 3(27 + 18)
Answer:
A. 9(9 + 2)Step-by-step explanation:
81 + 18 = 99
A. 9(9 + 2) = 99, correctB. 9(9 + 9) = 198 ≠ 99C. 9(9 + 3) = 108 ≠ 99D. 3(27 + 18) = 135 ≠ 99Answer:
9(9+2)
Step-by-step explanation:
81+18=99
Now
\(\\ \rm\Rrightarrow 9(9+2)\)
\(\\ \rm\Rrightarrow 81+18\)
\(\\ \rm\Rrightarrow 99\)
Hence verified.
Part 4: solve a real-world problem using an absolute fraction
A transaction is a positive if there is a sale and negative when there is a return. Each time a customer uses a credit cards for a transaction,the credit company charges Isabel.The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
Latex represent the amount of transaction and f(x) represent the amount Isabel is charged for the transaction.Write a function that expresses f(x).
a) A function that expresses f(x) is f(x) = 1.5x.
b) A graph of the function is shown in the image below.
c) The domain and range of the function are all real numbers or [-∞, ∞].
How to write a function that describes the situation?Assuming the variable x represent the amount of a transaction and the variable f(x) represent the amount Isabel is charged for the transaction, a linear function charges on each sale by the credit card company can be written as follows;
f(x) = 1.5x
Part b.
In this exercise, we would use an online graphing tool to plot the function f(x) = 1.5x as shown in the graph attached below.
Part c.
By critically observing the graph shown below, we can logically deduce the following domain and range:
Domain = [-∞, ∞] or all real numbers.
Range = [-∞, ∞] or all real numbers.
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Complete Question:
A transaction is positive if there is a sale and negative when there is a return. Each time a customer uses a credit card for a transaction, the credit company charges Isabel. The credit company charges 1.5% of each sale and a fee of 0.5% for returns.
a) Let x represent the amount of a transaction and let f(x) represent the amount Isabel is charged for the transaction. Write a function that expresses f(x).
b) Graph the function.
c) What are the domain and range of the function?
NEED ASAP! A boat’s velocity, measured in meters per second, is described by vector ⇀ b = ⟨ 3 , 4 ⟩ . In two or more complete sentences explain how to find the speed of the boat and the direction it is traveling in standard position. In your final answer, include all of your calculations.
Answer:The direction it travels is given by
arctan (y/x) =
arctan (-4/3) ≈ -53.13° ≈ 306.87°
This direction of travel can also be described as S 36.87° E
Step-by-step explanation:
Judiyah is the proud new owner of a chair making business. She makes custom wood chairs. She sells her custom chairs for
$150. The cost of rent and the expensive saws and equipment she bought add up to about $50 a chair. The wood she uses is
standard wood and the materials to make one chair cost about $30. She pays one worker to help her move the chairs into people's
home. Everytime she sells a chair, she pays this worker
$10 for the hour of work to transport the homemade chair.
What is judiyah’s profit ?
Answer:
$60
Step-by-step explanation:
Profit = revenue - total cost
cost is total expenses incurred in running the business
total cost = cost of rent and the expensive saws and equipment + cost of wood + amount paid to worker
50 + 30 + 10 = 90
revenue is the amount earned from selling the chairs. it is equal to 150
Profit = 150 - 90 = 60
The atmospheric pressure (in millibars) at a given altitude x, in meters, can be approximated by the following function. The function is valid for values of x between 0 and 10,000.f(x) = 1038(1.000134)^-xa. What is the pressure at sea level?b. The McDonald Observatory in Texas is at an altitude of 2000 meters. What is the approximate atmospheric pressure there?c. As altitude increases, what happens to atmospheric pressure?
Answer:
The relationship between altitude and atmospheric pressure is exponential, as shown by the function f(x) in this problem.
Step-by-step explanation:
a. To find the pressure at sea level, we need to evaluate f(x) at x=0:
f(0) = 1038(1.000134)^0 = 1038 millibars.
Therefore, the pressure at sea level is approximately 1038 millibars.
b. To find the atmospheric pressure at an altitude of 2000 meters, we need to evaluate f(x) at x=2000:
f(2000) = 1038(1.000134)^(-2000) ≈ 808.5 millibars.
Therefore, the approximate atmospheric pressure at the McDonald Observatory in Texas is 808.5 millibars.
c. As altitude increases, atmospheric pressure decreases. This is because the atmosphere becomes less dense at higher altitudes, so there are fewer air molecules exerting pressure.
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a cell phone plan costs $200 to start. Then there is a $50 charge each mont. what is the total cost for x months
Answer$200+$50x
Step-by-step explanation:
Answer:
4 Months
Step-by-step explanation:
if X = total (not sure)
thats means you must do $200 / $50 = 4 Months
The perimeter of a rectangular living room is 38 meters. The living room is 9 meters wide how long is it
If the perimeter of a rectangular living room is 38 meters, the length of the living room is 105 meters.
The perimeter of a rectangle is the sum of the lengths of all its sides. Let's denote the length of the living room as "L". The formula for the perimeter of a rectangle is:
Perimeter = 2(length + width)
We know that the width of the living room is 9 meters, and the perimeter is 38 meters. Substituting these values in the formula, we get:
38 = 2(L + 9)
Dividing both sides by 2, we get:
19 = L + 9
Subtracting 9 from both sides, we get:
L = 105
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PLEASE HELP NEED THIS BY 9/28/20
Which equation has no solution?
3x-3(x-4) = 8
7x- 7(x-4) = 28
7x- 3(x-4) = 8
-9x-3(x- 4) = 8
Answer:
I'm going to go with the last one
Step-by-step explanation:
im not 100%sure tho
I have 3 employees who can make 360 pizzas in 8 hours. 2 employees worked 8 hours but 1 employee only worked 4 hours. How many pizzas did they make?
SHOW YOUR WORK
4. One week Lin's balance at the start of the week was (- $16) but she
earned $20 from babysitting and deposited it into her bank account. What was her
account balance at the end of the week?
Please help!
Provide an appropriate response and show your work. Assume that the random variable X is normally distributed, with mean=90 and standard deviation=12. Compute the probability P(57 < X < 105).
The probability that X is between 57 and 105 is 0.8914.
How to solveGiven:
* X is normally distributed with mean=90 and standard deviation=12
* P(57 < X < 105)
Solution:
* Convert the given values to z-scores:
* z = (X - μ) / σ
* z = (57 - 90) / 12 = -2.50
* z = (105 - 90) / 12 = 1.25
* Use the z-table to find the probability:
* P(Z < -2.50) = 0.0062
* P(Z < 1.25) = 0.8944
* Add the probabilities to find the total probability:
* P(57 < X < 105) = 0.0062 + 0.8944 = 0.8914
Therefore, the probability that X is between 57 and 105 is 0.8914.
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a type of diagram that is used to graphically show the relationship between two numerical variables.
The type of diagram used to graphically show the relationship between two numerical variables is called a scatter plot.
A scatter plot is a visual representation of data points plotted on a graph, with one variable represented on the x-axis and the other variable represented on the y-axis.
Each data point on the plot corresponds to a pair of values from the two variables being analyzed. The position of each point on the graph indicates the values of both variables, allowing us to examine the relationship between them.
The main purpose of a scatter plot is to visualize the correlation or relationship between the two variables. The pattern formed by the data points on the plot can indicate the direction, strength, and nature of the relationship.
For example, if the points on the scatter plot tend to form a linear pattern, it suggests a linear relationship between the variables. On the other hand, if the points are scattered randomly with no clear pattern, it indicates a weak or no relationship between the variables.
Scatter plots are commonly used in various fields, including statistics, data analysis, and scientific research. They provide a visual way to explore and interpret relationships between variables, identify outliers, detect trends, and assess the strength and direction of associations.
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Handmade socks, knitted using pure cashmere wool, are very expensive to buy. Rowena buys cashmere wool in 20g balls. Each ball of cashmere wool costs her £1.42 . She pays her sister £8 to knit each pair of socks. 135g of cashmere wool is used to knit each pair of socks. Rowena sells 40 pairs of cashmere socks at £18.95 per pair. What is her percentage profit? Give your answer correct to 2 significant figures.
The percentage profit for the so is that were made is 40.32%.
How to calculate the profit?From the information, Rowena buys cashmere wool in 20g balls. Each ball of cashmere wool costs her £1.42 and she pays her sister £8 to knit each pair of socks. The cost will be:
= (£1.42 × (20 + 135) + (40 × £8)
= £220.1 + £320
= £540.1
The selling price will be:
= £18.95 × 40
= £758
Therefore, the percentage profit will be:
= Profit / Cost price × 100
= (758 - 540.1) / 540.1 × 100
= 217.9 / 540.1 × 100
= 40.32%
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Which triangle is a 30°-60°-90° triangle?
Answer:
The first triangle at the top is a 30°-60°-90° triangle
Step-by-step explanation:
I hope this helped :), sorry if im wrong
What point on the number line is one-fifth of the way from the point −9 to the point 17?
The point on the number line is one-fifth of the way from the point −9 to the point 17 is -3.8.
What is number line?A horizontal line with evenly spaced numerical increments is referred to as a number line. How the number on the line can be answered depends on the numbers present. The use of the number is determined by the question that it corresponds to, such as when graphing a point.
A number line is exactly what it sounds like—a horizontal, straight line with numbers spaced evenly apart throughout its length. Since it's not a ruler, the distance between each number is irrelevant; instead, the numbers on the line specify how it should be used.
Given:
Number line is one-fifth of the way from the point −9 to the point 17.
As, Distance between the given points is 17 - (-9) = 26 units
Also, 3/7 of the way from A
= 26 * 1/5 = 5.2 units
and, the location of the point is
= -9 + 5.2
= -3.8
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Answer: The point on the number line is one-fifth of the way from the point −9 to the point 17 is -3.8.
Step-by-step explanation:
an unnormalized relation is a table that has more than one row.
An unnormalized relation refers to a table in a relational database that contains more than one row. This means that there are duplicate rows in the table, which violates the rules of normalization.
Normalization is a process in database design that aims to eliminate data redundancy and ensure data integrity. It involves breaking down a database into multiple tables and defining relationships between them. By doing so, we can efficiently store and retrieve data while minimizing inconsistencies.
In an unnormalized relation, duplicate rows can lead to various problems. For example, it can result in data inconsistencies, as updating one instance of a row may not reflect changes in other duplicate rows. Additionally, it can cause unnecessary storage and maintenance overhead.
To normalize an unnormalized relation, we need to identify the functional dependencies in the table and create separate tables for related data. This helps organize the data and reduces redundancy.
In summary, an unnormalized relation is a table in a relational database that has duplicate rows. It is important to normalize such relations to ensure data integrity and efficiency.
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Esther wants to have $150,000 in 10 years. She plans to invest $18,000 to start and make yearly payments of $2,500 to the account. She will be receiving 6.5% interest compounded quarterly on her investment. Will she reach her goal?
No
Yes
Answer:
No
Step-by-step explanation:
She will have made $69,717.37
Please mark brainlest
Han earns 33.00 for babysitting 4 hours at this rate how much will he earn if the babysitter for 7 hours explain your reasoning
Han will make $57.75 for 7 hours of babysitting.
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is that Han earns $33 for babysitting 4 hours.
Han made $33 for 4 hours of work.
Then, he will make $(33/4) in 1 hour of work.
Then, he will make $(33/4 x 7) in 7 hours of work.
$(33/4 x 7)
$(33/4 x 7)
$(231/4)
$57.75
Therefore, Han will make $57.75 for 7 hours of babysitting.
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in 2000 about 29% of the foreign visitors to the u.s. were from canada. if a particular hotel had 150000 foreign guests in one year, how many would you predict were from canada?
If 29% of foreign visitors to the U.S. were from Canada in 2000, we can assume that 29% of the 150000 foreign guests at the hotel were also from Canada. To find out how many guests that would be, we can multiply 150000 by 0.29 (which is the decimal form of 29%).
This gives us a predicted number of 43,500 guests from Canada.
In 2000, about 29% of foreign visitors to the U.S. were from Canada. If a particular hotel had 150,000 foreign guests in one year, to predict how many were from Canada, you would multiply the total number of foreign guests by the percentage of visitors from Canada.
In this case, 150,000 guests * 0.29 (29%) equals 43,500. Therefore, you would predict that approximately 43,500 guests at the hotel were from Canada.
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I need help with number 1 the one that’s in Black
1)
Answer:
Explanation:
The given function is
f(x) = x^2 - 2x - 3
The first step is to graph the function. We would substitute values of x into the function and find corresponding values of y or f(x). We have
For x = - 1, y = (- 1)^2 - 2(- 1) - 3 = 1 + 2 - 3 = 0
For x = 0, y = (0)^2 - 2(0) - 3 = 0 + 0 - 3 = - 3
For x = 1, y = (1)^2 - 2(1) - 3 = 1 - 2 - 3 = - 4
The points to be plottted on the ggraph are
(- 1, 0)
(0, - 3)
(1, - 4)
We would plot these point on the graph as shown below
The axis of symmetry is the vertical line that divides the graph into two equal hv
solve for x in 4^x × 3^2x = 6
Answer:
x = 0.5
Step-by-step explanation:
The result can be shown in multiple forms. This one is decimal form.
Pre-algebra Volumes. GIVING BRAINLEST! TO FIRST ANSWER.
Answer:
\((10 \times 3 \times 2) + (5 \times 4 \times 2)\)
\((8 \times 4 \times 2) + (3 \times 6 \times 2)\)
John has 1010 items in his backpack, including 66 books. What is the probability that a randomly selected item from his backpack is a book?
Answer:
~6.534653% of randomly selected a book from his bag (I don't know how many decimals you need)
Step-by-step explanation:
Basically you just do (66 (books) /1010 (total items)) * 100 to find your answer because out of the total 1010 items in that bag there is only 66 that are books so its (66/1010)*100 to find your answer, the *100 is added to find the percentage.
Can you help find X?
Answer:
Step-by-step explanation:
a man invested $6000 at 8% per annum simple interest for 5 years.
a).calculate the simple interest.
b).the total amount of money collected at the end of the 5 year period.
Answer:
*r = R/100 = 8%/100 = 0.08 per year, A = P(1 + rt)
a) A = 6000[1 + (0.08 × 5)] = 8400
b) A = $8,400.00
Answer:
a) $2400
b) $8400
Step-by-step explanation:
The simple interest formula can be used to find the amount of interest. The amount collected at the end of the period is the total of principal and interest.
__
a)The simple interest is given by the formula ...
I = Prt . . . . . . P is the principal amount, r is the annual rate, and t is the number of years
For this investment, the interest is ...
I = $6000·0.08·5 = $2400
The simple interest amounts to $2400.
__
b)The amount collected at the end of 5 years is the principal plus interest:
P +I = $6000 +2400 = $8400
The total collected is $8400.
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. what is another way to represent this solution set?
a. (–[infinity] , two-thirds]
b. (–[infinity] , two-thirds)
c. (two-thirds, [infinity])
d. [two-thirds, [infinity])
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}.
option c. (two-thirds, [infinity]) is the correct option
What exactly is set builder notation?The set-builder notation can also be used to express sets using an interval or an equation. It is common practise for sets with an unlimited number of elements to write and represent their elements in this way. This makes use of a variable (or several) that fit under the group of typical numerical kinds, such as integers, real numbers, and natural numbers.
What is roster notation?The roster notation is a convenient way to express sets mathematically. Within the curly braces of the roster form, the elements (or members) of a set are listed in a row. In a roster notation, a comma is used to indicate the separation of every two elements when the set contains more than one element.
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according to the empirical rule, what percentage of data in a typical normal distribution (bell-shaped) lies within one standard deviation from the mean?
Approximately 68% of the data in a normal distribution lies within one standard deviation from the mean according to the empirical rule.
According to the empirical rule, which applies to a normal distribution, approximately 68% of the data falls within one standard deviation of the mean. Specifically, 68.27% of the data falls within one standard deviation of the mean, which means that if the distribution is bell-shaped, the data is symmetrically distributed around the mean and most of the data is clustered within one standard deviation from the mean.
The empirical rule also states that approximately 95% of the data falls within two standard deviations of the mean, and about 99.7% of the data falls within three standard deviations of the mean.
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Study the road plan shown in the figure. A service station will be built on the highway, and a road will connect it with Cray. How long will the new road be? A.54.2 mi B. 312 mi C. 46.2 mi D.400 mi
The length of the road that connects the service station with Cray is 46.2 mi.
How long will the new road be?
We need to apply the principle of similar triangles to obtain the length of the road that will connect the service station with Cray as shown in the image attached.
Hence;
The distance between Alba and Blare = 130 mi
The distance between Alba and Cray = 120 mi
Road connecting the service station with Cray =x
And;
120/130 = x/50
x = 46.2 mi
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