Some examples of the use of estimates in our everyday lives are given below:
Making an estimate when shopping so as not to exceed budgetMaking an estimate of the number of shoppers in a shopping mallWhat is an Estimate?This refers to the rough calculation that is done to judge the value of a thing or the data outcome of a proposition.
Hence, when it comes to estimation or rough calculation of values or numbers, it is important that it is done as accurately as possible within the limits of current available data or data projections.
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Solve for y.
5y²+15y=0
I'm trying to translate the phrase into an algebraic expression the quotient of -11 and the cube of B
hello
to solve this problem, we just have to take the fraction between the numbers that responded they use the produt to the total numbers that carried out the survey.
the numbers that responded yes = 120
total number that carried out the survey = 132
[tex]x=\frac{120}{132}=\frac{60}{66}=\frac{30}{33}=\frac{10}{11}[/tex]the fraction in the lowest terms of the women surveyed that use the product is 10/11
What is exponential equation that has a y-intercept of 5 and a multiplier of 1.7
The exponential equation having y- intercept of 5 and a multiplier of 1.7 is
[tex]y=5(1.7^x\text{)}[/tex]Hence
, wwhen x = 0
[tex]\begin{gathered} y=5(1.7^0) \\ y\text{ = 5} \end{gathered}[/tex]Therefore the correct answer is
[tex]y=5(1.7^x)[/tex]Given any triangle ABC with corresponding side lengths A, B, and C, the law of cosine states:
The Law of Cosines is used to find the remaining parts of an oblique triangle when either the lengths of two sides and the measure of the included angle are known or the lengths of the three sides are known.
Consider the following oblique triangle:
Applying this oblique triangle, we can state the law of cosines to find side b:
[tex]b^2=a^2+c^2\text{ - 2ac }\cos(B)[/tex]We can conclude that the correct answer is:
Answer:[tex]b^2=a^2+c^2\text{ - 2ac }\cos(B)[/tex]A store manager order 28 crates of mangoes there were thirty-six mangoes and each crate when the mangoes were delivered he sold the right mangoes and repack the rest equally into 73 boxes they were 12 mangoes in each box how many right angles are sold show your work and explain your reasoning
Identify the slope and y-intercept of the linear equation then graphY = -2x/7 + 2Y = -5x/6 - 18
For this problem, we are given a certain system of equations and we need to identify the slope, y-intercept and trace the graphs for the system.
The system is given below:
[tex]\begin{cases}y={-\frac{2x}{7}}+2 \\ y=-{\frac{5x}{6}}-18\end{cases}[/tex]Both equations are in the slope-intercept form, which means that the slope is the number multiplying "x" and the intercept is the number isolated.
For equation 1:
[tex]\begin{gathered} \text{ slope}=\frac{-2}{7}\\ \\ \text{ intercept}=2 \\ \end{gathered}[/tex]For equation 2:
[tex]\begin{gathered} \text{ slope}=\frac{-5}{6} \\ \text{ intercept}=-18 \end{gathered}[/tex]The slope is the increase on the graph that the y-axis has for each 1 unit increase in the x-axis. This means that from x = 0 to x = 1 the first equation will decrease 2/7 units and the second equation will decrease 5/6 units. The y-intercept is the point at which the function crosses the y-axis.
With this we can create the graphs:
fourteen percent of the town's population are above age of 65. if there are about 320 residents over the age of 65, then what is the towns population?
Town Total population is 2,286.
To Find total population :To get the population of the town, we can solve this for x.We are given that 14% of a town's population is over the age of 65.320 residents of the town are over the age of 65.Therefore, 14% of the town's population is equal to 320.
so we will let the towns population be x.
We can convert this to our percent equation to get the following:14/100 * x = 320
To get the population of the town, we can solve this for x. We'll start by multiplying 100 both sides of the problem14x =32,000
Now, we divide both sides of the equation by 14.x =2285.
So we have that the town's population is approximately 2,286 people.
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If the log is 11 ft long, and one piece is x feet long, how long is the length of the other piece?
Total length of the log = 11 ft
Length of one piece = x
Length of the other piece = 11-x
twenty soldiers were walking in a forest, they saw an apple tree with 20 apples on it, each took one. how many apples remained?
Violet read 1250 words in 5 minutes. About how long will it take her, in minutes, to read 10000 word essay?
Answer:
40 minutes
Explanation:
The ratio of the number of words to the number of minutes is constant. Then, If violet read 1250 words in 5 minutes, we can write the following equation:
[tex]\frac{1250\text{ words}}{5\text{ minutes}}=\frac{10000\text{ words}}{x\text{ minutes}}[/tex]Where x is the number of minutes that she needs to read a 10000-word essay.
So, solving for x, we get:
[tex]\begin{gathered} \frac{1250}{5}=\frac{10000}{x} \\ 1250x=5(10000) \\ 1250x=50000 \\ \frac{1250x}{1250}=\frac{50000}{1250} \\ x=40\text{ minutes} \end{gathered}[/tex]Then, she will take 40 minutes to read the essay.
A man realizes he lost the detailed receipt from the store and only has the credit card receipt with the after-tax total. If the after-tax total was $236.72, and the tax rate in the area is 7.6%, what was the pre tax subtotal?
Let's call x to the pre-tax subtotal
Then, the amount of money he pays in taxes is: 0.076x
Therefore, the total cost is: x + 0.076x, which is equal to $236.72. That is:
x + 0.076x = 236.72
1.076x = 236.72
x = 236.72/1.076
x = 220
The pre-tax subtotal was $220
Simplify:(4 7- 5m) + 32m - 16
Kmakq, this is the solution:
Let's simplify:
4 (7 - 5m) + 32m - 16
28 - 20m + 32m - 16
12m + 12
12 (m + 1) is the final answer
Answer:
Step-by-step explanation:
Use the given functions to set up and simplify
7
−
5
m
+
32
m
−
16
.
4
=
7
−
5
m
+
32
m
−
16
=
27
m
−
9
helppppppppppppppppppppppppppppppppp.
Solve the following system of equations. -3x-7y=-3-2x+5y=-2
1) Let's solve that system by elimination. We'll eliminate the x terms firstly:
Since the LMC, between 3 and 2 is 6 let's multiply the first and the second equation to get 6x
-3x-7y=-3 x -2
-2x+5y=-2 x 3
6x +14y= 6
-6x+15y=-6
-------------------------
0 + 29y = 0
y= 0
2) Now let's plug into one of those equations, usually the simpler one, that value for y. To find out the x.
-2x +5y=-2
-2x +5(0) =-2
-2x= -2
2x=2 Divide both sides by 2
x=1
3) So the solution for this system is (1,0).
y = 3x -4
m:
b:
Proportional?
(Yes or No) j
Which row of the input/output table is incorrect?y = 2x - 3xyRow A33Row B57Row C711Row D1015options:Row DRow ARow BRow C
Given:
[tex]y=2x-3[/tex]xy
Row A33
Row B57
Row C711
Row D1015
Required:
To find the row of the input/output table that is incorrect.
Explanation:
The row D is incorrect.
Because, when x=10
[tex]\begin{gathered} y=2(10)-3 \\ =20-3 \\ =17 \end{gathered}[/tex]Final Answer:
Row D is incorrect.
a fruit supplier supplied 286 fruits in a parcel. Out of those,½ of the fruits are oranges and the rest are apples. (4over 13) of the apples are rottenhe sells good apples at usd (5 ⅗) each. how much money does he recieve on selling the good apples
The money that the fruit seller will make on selling the good apples is
$ 554.40 .
What is ratio and how can it be assessed?
A ratio is the comparative or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio is indicated by the symbol ":".
Given, Total number of fruits in the parcel = 286
Total number of oranges in the parcel = 0.5*286 = 143
Therefore, total number of apples in the parcel = 286 - 143 = 143
Total number of rotten apples from the available apples = (4/13)*143 = 44
Therefore, total number of good apples remaining = 143 - 44 = 99
Also, the cost of each good apple = $ (28/5) = $ 5.6
Therefore, the cost of 99 good apples = 99*5.6 = $ 554.40
Thus, the money that the fruit seller will make on selling the good apples is $ 554.40
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What is the weight of a 35.01-carat diamond in grams and ounces? Use 1 carat = 0.2 gram, 1 carat = 3.086 grains, and 1 ounce = 437.5 grains.
The weight of a 35.01-carat diamond is
(Round to two decimal places as needed.)
The weight of a 35.01-carat diamond is oz.
The weight of a 35.01-carat diamond in grams and ounces
7.002gram0.247 ouncesHow to determine the weight of a 35.01-carat diamond in grams and ouncesInformation given in the question include
1 carat = 0.2 gram,
1 carat = 3.086 grains,
1 ounce = 437.5 grains.
The conversion of the weight units using the given variables can bbe done as follows
1 carat = 0.2 gram
35.01-carat diamond = ?
cross multiplying gives
1 * ? = 35.01 * 0.2
? = 7.002gram
1 carat = 3.086 grains
35.01-carat diamond = ?
cross multiplying gives
1 * ? = 35.01 * 3.086
? = 108.041 grains
That is 35.01-carat diamond = 108.041 grains
1 ounce = 437.5 grains
? = 108.041 grains
cross multiplying gives
437.5 * ? = 108.041 * 1
? = 108.041 /437.5
? = 0.247 ounces
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make up a story for the graph below. describe all 5 events A-E of your story. note whether you mention whether your events are decreasing increasing or constant distance
Explanation:
We need to describe a story such that for event A, C, and E the distance is increasing, for event B the distance is constant, for event D, the distance is decreasing. So, the story is:
Answer:
On a specific day, you decided to travel to another city with your friends but you are the only one with a car, so you need to pick up each of your friends, so the y-axis represents the distance from your home.
So, event A is when you go to pick up your first friend that lives 2 hours away. This friend wasn't ready so you wait for an hour (event B). Then you go to the house of your second friend (event C) and at that moment you realize that you forget a third friend that lives closer to your house, so you have to come back to his house (event D). Finally, they start to travel to the city (event E).
-23 < 4x-7 Huryyyyyy
We have the inequality -23 < 4x-7. Our aim is to have X on its own on the left of the inequality sign:
It is important to remember that every operation performed, must be performed on each side of the inequality, in this first step we are adding 7 on the right side and subtracting 7 on the left side.
[tex]\begin{gathered} -23+7<4x-7+7 \\ -16<4x \end{gathered}[/tex]We are going to pass x from the right side to the left side, by doing this we must also change the direction of the inequality:
[tex]4x>-16[/tex]Then we divide by 4 on each side:
[tex]\begin{gathered} \frac{4x}{4}>\frac{-16}{4} \\ x>-4 \end{gathered}[/tex]the segment joining (-8,1) and (11,7) is divided into four equal parts. Find the points of division nearest to ends.
Midpoint of line is:
[tex]\begin{gathered} (\frac{x_1+x_2}{2}_{},\frac{y_1+y_2}{2}) \\ (\frac{-8+11}{2},\frac{7+1}{2}) \\ (\frac{3}{2},4) \end{gathered}[/tex]Distance between two point.
x distance between F and G :
[tex]\begin{gathered} X=11-(-8) \\ =19 \end{gathered}[/tex]Y distance is:
[tex]\begin{gathered} Y=7-1 \\ =6 \end{gathered}[/tex]For 4 equal part is x and y distance is:
[tex]\begin{gathered} x\text{ distance=}\frac{19}{4}=4.75 \\ y\text{ distance=}\frac{6}{4}=1.5 \end{gathered}[/tex]so x and y coordinates is:
[tex]\begin{gathered} (-8+4.75,1+1.5)_{} \\ (-3.25,2.5) \end{gathered}[/tex]second coordinates is:
[tex]\begin{gathered} (-3.25+4.75,2.5+1.5) \\ (1.5,4) \end{gathered}[/tex]Then theird coordinates is:
[tex]\begin{gathered} (1.5+4.75,4+1.5) \\ (6.25,5.5) \end{gathered}[/tex]Fourth coordinates is:
[tex]\begin{gathered} (6.25+4.75,5.5+1.5) \\ (11,7) \end{gathered}[/tex]
Let U = {1, 2, 3, 4, 5, 6, 7}, A = {2, 4, 6}, B = {1, 2, 3, 5, 7}, and C = {1, 3, 6, 7}.Find (A U B)’Question 44 options:a) { }b) {1, 2, 3, 4, 5, 6, 7}c) {2, 4, 6}d) {2}
Given:
U = {1, 2, 3, 4, 5, 6, 7}
A = {2, 4, 6}
B = {1, 2, 3, 5, 7}
C = {1, 3, 6, 7}
To find:
(A U B)’
First, we will find (A U B):
A = {2, 4, 6}
B = {1, 2, 3, 5, 7}
[tex]\begin{gathered} (A\text{ U}B):all\text{ the numbers in A and B without repetition} \\ \left(AUB\right)=\text{ \textbraceleft}{2,4,6,1,2,3,5,7}\rbrace \\ (AUB)={\text{ \textbraceleft}1,2,2,3,4,5,6,7\rbrace} \\ without\text{ repeating the numbers:} \\ (A\text{ U B\rparen= \textbraceleft1, 2, 3, 4, 5, 6, 7\textbraceright} \end{gathered}[/tex][tex]\begin{gathered} (A\text{ U}B)^{\prime}\text{ : this entails the numbers that are in U }but\text{ not in \lparen A U}B) \\ U\text{ = \textbraceleft1, 2, 3, 4, 5, 6, 7\textbraceright} \\ (AUB)=\left\{1,2,3,4,5,6,7\right\} \\ The\text{ numbers in both sets are the same} \\ \\ Hence,\text{ the complement of \lparen AUB\rparen will be a null set} \\ (AUB)^{\prime}\text{ = \textbraceleft \textbraceright \lparen option A\rparen} \end{gathered}[/tex]A special commercial about Doritos is to be randomly played during the 210 minutes of the SuperBowl. If you had to leave to run an errand and miss 30 minutes of the game, what is theprobability that you would still be able to see the beginning of the commercial?A. 14.3%B. 12.5%C. 85.7%D. 75%
From the information provided;
A commercial is to be played during the 210 minutes of the super bowl. If you had to miss 30 minutes of the game, the probability of seeing beginning of the commercial would be;
[tex]\begin{gathered} \lbrack P\rbrack=\frac{Total\text{ number of successful events}}{Total\text{ number of }possibl\text{e events}} \\ \lbrack P\rbrack=\frac{30}{210} \\ \lbrack P\rbrack=0.142857\ldots \end{gathered}[/tex]The probability of seeing the beginning of the commercial would be 0.1428 (approximately), and when expressed as a percentage, this would be 14.28%.
ANSWER:
The correct answer therefore is 14.3%
Option A is the correct answer
Given that f(x)= x^2-1x and g(x)= x+8 calculate f•g(x)
What is the complementary number of 54
For this type of problems we recall the definition of the complementary number of another number:
Let's say we have a number x, then the complementary number of x is a number for which the following happens:
[tex]x+mplementaryofx=10^n[/tex]Where n is the minimum number such that
[tex]10^n\ge x[/tex]For example: the complementary number of 5 is 5, the complementary number of 100 is 0, the complementary number of 350 is 650.
Answer: the complementary number of 54 is 100-54= 46.
The sum of two numbers is -32. One number is two less than the other.
ANSWER:
EXPLANATION:
Let x and y be the two numbers
John is asked to roll a fair number cube, numbered from one to six,and toss a balanced quarter simultaneously. What is the probabilitythat he will roll a 2 and the quarter will come up tails?Leave your answer in fraction form
Solution
John is asked to roll a fair number cube, numbered from one to six, and toss a balanced quarter simultaneously
Total possible outcome when a number cube is rolled is 6, i.e numbers from 1 to 6
Total possible outcome when a balanced quarter is 2 i.e a head or a tail
The formula to find probability, P, is
[tex]P=\frac{\text{Required Outcome}}{Total\text{ possible outcome}}[/tex]The probability that a he will roll a 2, P(2) is
[tex]P(2)=\frac{1}{6}[/tex]The probability that the quarter comes up with a tail, P(T) is
[tex]P(T)=\frac{1}{2}[/tex]The probability that he will roll a 2 and the quarter will come up tails is
[tex]P=P(2)\times P(T)=\frac{1}{6}\times\frac{1}{2}=\frac{1}{12}[/tex]Hence, the answer is 1/12
Find the value of x in the triangle shown below. X = 5.7 66° 7 7 20 Check
We have the following:
[tex]\begin{gathered} \frac{5.7}{\sin x}=\frac{7}{\sin 66^{\circ\: }} \\ \sin x=\frac{57\cdot\sin 66^{\circ}}{70} \\ \sin x=\frac{57\cdot0.913}{70} \\ x=\sin ^{-1}(0.743) \\ x=48.06\cong48^{\circ\: } \end{gathered}[/tex]Therefore, the answer is 48°
A collection of stamps consists of 3c stamps 5c stamps and 7c stamps. There are 6 more 3c stamps than 5c stamps and two more 7c stamps than 3c stamps. The total value of the stamps is $1.94. How many 3c stamps are in the collection?
The number of 3¢ stamps that are in the collection is: 22.
What is an expression?An expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.
In this exercise, you're required to determine the number of 3 cents (3¢) . Therefore, we would translate the word problem into an algebraic expression and then evaluate it as follows:
Note: 100 cents (¢) is equal to 1 dollar ($).
A collection of stamps consists of 3¢ stamps, 5¢ stamps and 7¢ stamps; 3¢ + 5¢ + 7¢ = 194
6 more 3¢ stamps than 5¢ stamps; 3¢ = 5¢ + 6 ⇒ 5¢ = 3¢ - 6
Two more 7¢ stamps than 3¢ stamps; 7¢ = 3¢ + 2
Combining the above equations, we have:
3¢ + 3¢ - 6 + 3¢ + 2 = 194
9¢ = 198
¢ = 198/9
¢ = 22.
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Complete Question:
A collection of stamps consists of 3¢ stamps 5¢ stamps and 7¢ stamps. There are 6 more 3¢ stamps than 5¢ stamps and two more 7¢ stamps than 3¢ stamps. The total value of the stamps is $1.94. How many 3¢ stamps are in the collection?
create a data set with a minimum of 5 data points each where the mean = 25, median =25 and mode =25
A data set with a minimum of 5 data points each where the mean = 25, median =25 and mode =25 is 23, 24, 25, 26, 27.
Data set
A data set is a collection of numbers or values that relate to a particular subject.
For example, the test scores of each student in a particular class is a data set. The number of fish eaten by each dolphin at an aquarium is a data set.
Given that the mean = 25, median =25 and mode =25
Mean = The mean of a dataset is the sum of all values divided by the total number of values. It's the most commonly used measure of central tendency and is often referred to as the “average.”
Median = The median is the middle number in a sorted, ascending or descending list of numbers and can be more descriptive of that data set than the average.
Mode = When it's unique, the mode is the value that appears the most often in a data set and it can be used as a measure of central tendency, like the median and mean. But sometimes, there is no mode or there is more than one mode. There is no mode when all observed values appear the same number of times in a data set.
Therefore the data set will be
23, 24, 25, 26, 27
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