Fewer than %97 of adults have a cell phone. In a reputable poll of 1160 adults, %88
said that they have a cell phone. Find the value of the test statistic
Answers
The value of the test statistic of the hypotheses is; -17.969
How to find the test statistic?
The test statistic is defined as a number, calculated from a statistical test, which is used to find if your data could have occurred under the null hypothesis.
We are given;
Sample size; n = 1160
Sample proportion; p^ = 88% = 0.88
Population proportion; p = 97% = 0.97
The claim is about the population proportion (p) in the hypotheses. Since we are told that fewer than 97% of adults have a cell phone, then the claim is; p < 0.97
The null hypothesis is expressed as;
H₀: p = 0.97
The alternative hypothesis is expressed as;
Hₐ: p < 0.97
The value of the test-statistic is gotten from the formula;
z = (p^ - p)/(√(p(1 - p)/n))
z = (0.88 - 0.97)/(√(0.97(1 - 0.97)/1160))
z = -17.969
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Related Questions
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
Answers
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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The table shows the results of a survey of 100 people selected at random
at an airport. Find the experimental probability that a person selected at
random is going to City C.
The experimetal probability that a person selected at random is going to city C is
Answers
Answer:
\(\frac{4}{25}\)
Step-by-step explanation:
22/200 simpilfy is 4/25
The experimental probability that a person selected at random is going to city C is P ( C ) = 4/25 = 0.16
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the experimental probability that a person selected at random is going to city C is P ( C )
Now , the total number of people in the city = 100
The number of people going to city C = 16
So , P ( C ) = number of people going to city C / total number of people in the city
On simplifying , we get
P ( C ) = 16 / 100
P ( C ) = 4/25
P ( C ) = 0.16
Hence , the probability is 0.16
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given the following graphs,explain how replacing x with (x+c) or (x-c) affects the parent function graph?
Answers
Answer:
(x+c) would horizontally shift the parent function graph by c units to the left.
(x-c) would horizontally shift the parent function graph by c units to the right.
A hamster running in a wheel of radius 10 cm spins the wheel one revolution in 5 seconds.
a) What is the angular velocity of the wheel?
b) At what linear velocity is the hamster running?
just need the answer
Answers
a) The angular velocity = 0.4π rad/s b) The linear velocity of the hamster = 4π cm/s.
What is linear velocity?Linear velocity is the rate of change of an object's position with respect to time. It measures how fast an object is moving in a straight line, and is often expressed in units of distance per time, such as meters per second or kilometers per hour.
According to given information:a) The angular velocity of the wheel can be calculated as follows:
Angular velocity = (2π * number of revolutions) / time
Here, the wheel completes one revolution in 5 seconds, so the number of revolutions is 1 and the time is 5 seconds. Therefore,
Angular velocity = (2π * 1) / 5
Angular velocity = 0.4π rad/s (or approximately 1.26 rad/s)
b) The linear velocity of the hamster can be calculated as follows:
Linear velocity = radius * angular velocity
Here, the radius of the wheel is 10 cm, and the angular velocity we found in part (a) is 0.4π rad/s. Therefore,
Linear velocity = 10 cm * 0.4π rad/s
Linear velocity = 4π cm/s (or approximately 12.57 cm/s)
So the hamster is running at a linear velocity of approximately 12.57 cm/s.
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TECHNOLOGY Pew Research Center released a survey that asked whether participants thought technological advancements in the future will make people’s lives better or worse. Of the people interviewed, 423 earned less than $50,000 per year and 328 earned $50,000 or more. Of those earning less than $50,000 per year, 262 thought that people’s lives would get better, and 240 of those who earned $50,000 or more thought the same. Organize the data in a two-way frequency table.
Answers
Answer:
With technology and digital communication, it's
becoming easier to communicate because people
do not have to do that initial face-to-face reaction
when they are behind a keyboard. This can be a
good or a bad thing depending on how one
chooses to communicate.
Answer:
\(\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}\)
Step-by-step explanation:
From the given information, the two options of the "annual salary" category are:
Less than $50,000 per year.$50,000 or more per year.From the given information, the two options of the "opinions" category are:
People's lives would get better.People's lives would not get better.To create a two-way frequency table to visually represent the possible relationships between the two sets of categorical data:
Create a 4x4 table.Label the top row of the table with one category and the left side of the table with the other category. Label the right column "Total" and the bottom row "Total".\(\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&&&\\\cline{1-4}\end{array}\)
Add the given information to the table:
\(\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&&&\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&\\\cline{1-4}\end{array}\)
From the table, we can see that of the 423 of people that earned less than $50,000 per year, 262 thought that people's live would get better.
To calculate the number of people that earned less than $50,000 per year that thought people's lives would not get better, subtract 262 from 423 and place this number in the cell in column 2, row 3.
Continue like this to fill out the rest of the table, remembering to calculate the column and row totals:
\(\begin{array}{|l|c|c|c|}\cline{1-4}\vphantom{\dfrac12}&\text{Less than \$50,000}&\text{\$50,000 or more}&\text{Total}\\\cline{1-4}\vphantom{\dfrac12}\text{Lives get better}&262&240&502\\\cline{1-4}\vphantom{\dfrac12}\text{Lives don't get better}&161&88&249\\\cline{1-4}\vphantom{\dfrac12}\text{Total}&423&328&751\\\cline{1-4}\end{array}\)
ASAP NEDDDD HELPPPPPP
Answers
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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Need Help Picture Below ( 25 Points)
Answers
Therefore , the solution of the given problem of equation comes out to be n = 3.
What is an equation?The same variable word is frequently used in mathematical formulas to attempt to ensure consistency between two assertions. Mathematical equations, also referred to as assertions, are used to demonstrate the equality of many academic figures. Instead of dividing 12 into two portions in this instance, the normalise function adds b + 6 to use the illustration of
y + 6.
Here,
Part 1: We will add 1 to both sides of the equation because we want to separate n in this situation:
=> n - 1 + 1 = 2 + 1
Simplifying:
=> n = 3
Consequently, n = 3 is the answer to the problem n - 1 = 2 when n is taken into account.
To put it up:
=> n - 1 = 2
To both ends, add one:
=> n - 1 + 1 = 2 + 1
Simplify:
=>n = 3
Part 2:
In order to isolate the variable (n) on one side of the equation, we can use inverse operations to answer for n in the equation n - 1 = 2.
Addition is the opposite of reduction. In order to isolate n in this example, we therefore add 1 to both sides of the equation using the inverse process of subtraction.
The steps required are as follows:
=> n - 1 = 2 (original calculation) (original equation)
To both ends, add one:
=> n - 1 + 1 = 2 + 1
Simplify:
=> n = 3
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The world's first train could travel 28 kilometers in 3.5 hours.
How fast could the train go?
Answers
Answer:
The train was travelling at 8 km/h.
Step-by-step explanation:
28 km in 3.5 hours
Divide both sides by 3.5 : 8 km in 1 hour = 8 km/h
The exam scores in Bryan's class are Normally
distributed with a mean of 88 points and a standard
deviation of 1.5 points.
Exam Scores
83.5 85 86.5 88 89.5 91 92.5
Score
Which statements are true? Check all that apply.
□ About 16% of all exam scores are less than 86.5
points.
About 16% of all exam scores are greater than 89.5
points.
About 68% of the test scores fall between 85 and 91
points.
About 84% of all exam scores are less than 89.5
points.
About 84% of all exam scores are greater than 89.5
points.
0
Answers
Using the Empirical Rule, it is found that the correct statements are given by:
About 16% of all exam scores are less than 86.5 points.About 16% of all exam scores are greater than 89.5 points.About 84% of all exam scores are less than 89.5 points.What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.We also have to consider that the normal distribution is symmetric. Then, alog with the mean of 88 and standard deviation of 1.5, the correct statements are given by:
About 16% of all exam scores are less than 86.5 points(more than 1 standard deviation below the mean, the percentage, considering the symmetry, is 0.5 x 32 = 16%).About 16% of all exam scores are greater than 89.5 points, due to the same explanation as above.About 84% of all exam scores are less than 89.5 points, as the percentage is 50%(all below the mean) + 50% x 68%(one standard deviation above the mean) = 84%.More can be learned about the Empirical Rule at https://brainly.com/question/24537145
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Answer:
Step-by-step explanation:
Fill in the correct values in the statements.
About 68% of the observations will fall within
⇒ 1.5 points of the mean of
⇒ 88 points.
About
⇒ 95% of the observations will fall within 3 points of the mean.
About 99.7% of the observations will fall within
⇒ 4.5 points of the mean.
How does the graph of g(x) = x+5+2 compare to the graph of the parent function f(x) =
х
g(x) is shifted 5 units left and 2 units up from f(x).
g(x) is shifted 5 units right and 2 units up from f(x).
g(x) is shifted 5 units left and 2 units down from f(x).
g(x) is shifted 5 units right and 2 units down from f(x).
Answers
g(x) is shifted 5 units right and 2 units up from f(x). Therefore, option B is the correct answer.
What is the translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.
The given functions are f(x)=x and g(x)=x+5+2.
Translation rules:
When the shape is moved towards the right by k units, then replace x with x + k.
When the shape is moved up by k units, then replace y with y + k.
So, the translation is g(x) is shifted 5 units right and 2 units up from the parent function.
Therefore, option B is the correct answer.
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Last week Cody ran 27 more miles than Joseph. Cody ran 34 miles. How many miles did Joseph run?
Which equation represents this situation?
A. x−27=34
B. x−34=27
C. x+27=34
D. x+34=27
Answers
Answer:
C
Step-by-step explanation:
The answer is 7 to the equation.
34-27 = 7
Another way to go about this is
x + 27 = 34
x = 7
27 + 7 = 34
:)
John bank account was overdrawn The status of his account was - $159. He did not realize the problem and wrote another check for $54. The bank charged him a $15 fee for being overdrawn. What was the new status of account at this point ?
Answers
Answer:
-228
Step-by-step explanation:
= (-159-54)-15
= (-213)-15
= -213-15
= -228
if 7056 divided X is equals to 42; y divided 112 =8, then x/y is
Answers
Step-by-step explanation:
given
\( \frac{7056}{x} = 42 \\ \\ 42x = 7056 \\ x = \frac{7056}{42} \\ = 168\)
also given
\( \frac{y}{112} = 8 \\ y = 8(112) \\ = 896\)
therefore
\( \frac{x}{y} = \frac{168}{896} \\ = \frac{3}{16} \)
All the fudge machines at a chocolate factory work at the same rate. Six machines working simultaneously can complete a big order in 22 hours.
b
How many hours would it take to fill the order if the number of working machines increased by a factor of 2?
Answers
Answer: 11 hours
Step-by-step explanation:
22/2 = 11
Suppose 25 fou bettes are loondisturbed in a warehouse in the belle population double steevery week the equation Ps23. can be used to determine the umber of beeies er weeksComote the tableWeekPopulation134Question 12Calculate the averagegro
Answers
Answer
Question 1
Option C is correct.
Runner A and B are tied.
Question 2
Option B is correct.
Runner B is the faster runner in this time period.
Question 3
Option A is correct.
Runner A is the faster runner in this time period.
Explanation
Average speed is distance covered divided by time taken.
Question 1
For the first 9 seconds
Runner A
Distance covered = 120 - 0 = 120 m
Time Taken = 9 - 0 = 9 seconds
Average speed = (120/9) = 13.33 m/s
Runner B
Distance covered = 120 - 0 = 120 m
Time Taken = 9 - 0 = 9 seconds
Average speed = (120/9) = 13.33 m/s
Both runners are tied.
Question 2
For 9 seconds to 20 seconds
Runner A
Distance covered = 168 - 120 = 48 m
Time Taken = 20 - 9 = 11 seconds
Average speed = (48/11) = 4.36 m/s
Runner B
Distance covered = 213 - 120 = 93 m
Time Taken = 20 - 9 = 11 seconds
Average speed = (93/11) = 8.45 m/s
Runner B is the faster runner in this time period.
Question 3
For 20 to 31 seconds
Runner A
Distance covered = 287 - 168 = 119 m
Time Taken = 31 - 20 = 11 seconds
Average speed = (119/11) = 10.82 m/s
Runner B
Distance covered = 287 - 213 = 74 m
Time Taken = 31 - 20 = 11 seconds
Average speed = (74/11) = 6.73 m/s
Runner A is the faster runner in this time period.
Question 4
For 0 to 31 seconds
Runner A
Distance covered = 287 - 0 = 287 m
Time Taken = 31 - 0 = 31 seconds
Average speed = (287/31) = 9.26 m/s
Runner B
Distance covered = 287 - 0 = 287 m
Time Taken = 31 - 0 = 31 seconds
Average speed = (287/31) = 9.26 m/s
Both runners are tied in this time interval.
Hope this Helps!!!
Let f (x) = x - 4 . Graph g(x) = f (5x)
Choose the description of the transformation from the graph of f to the graph of g.
A.) The graph of g is a horizontal stretch of the graph of f by a factor of 5.
B) The graph of g is a horizontal shrink of the graph of f by a factor of 1/5
C) The graph of g is a vertical stretch of the graph of f by a factor of 5
D) The graph of g is a vertical shrink of the graph of f by a factor of 1/5
And what points would be plotted on a graph?
Answers
The graph of g(x) is on the image at the end, and the correct option for the transformation is B.
Which is the transformation applied?We define a horizontal dilation of scale factor k as:
g(x) = f(k*x)
if k > 1, we have a stretch.
if 0 < k < 1, we have a shink of scale factor 1/k
Here we have:
g(x) = f (5x) = 5x - 4
We can notice that k = 5, then we have a stretch, thus, the correct option is B.
The graph of function g(x) can be seen in the image at the end.,
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20p-8p-6p=12 please make sure it's right
Answers
Answer: step by step
Step-by-step explanation:
not totally sure what you're asking but in this equation p=2
The table below shows the two surface features and the processes that are likely to form them.
Surface Features and Processes
Feature Process
Coastline A
Sea Cliff B
Which processes are represented by A and B?
A = deposition; B = deposition
A = erosion by wind; B = erosion by wind
A = erosion by wind and water; B = erosion by water
A = erosion by water; B = deposition and erosion by wind
Answers
Answer:
A= Wind and water eriosion; B=Water erosion
Why?:
The lesson
Answer:
C - A = erosion by wind and water; B = erosion by water
Step-by-step explanation:
hope this helps anyone that still needs it
Calculate the area of the following Circle
Answers
Answer:
324
Step-by-step explanation:
Circles are 100% even. If you add another line going opposite direction you would multiply 18x18. You get 324.
Solve x2 - 4x + 1 = 0.
x= 2 + 2i15
x = 4+ V3
x = 2/3
x= -2-3
Answers
Answer:
x = 2 ± √ 3
Step-by-step explanation:
URGENT: HELP ME WITH THE MATH PROBLEMS!!
(Note This Needs To Be Done Tonight!)
Answers
Answer:
1. 3 and 1/5 improper: 11/15
2. 3 and 3/4 improper: 15/16
3. 1 and 2/3 improper: 5/6
4. 2 and 1/2 improper: 5/6
5. 3 and 2/10 improper: 32/40
6. 3 and 3/9 improper: 30/36
7. 1 and 2/6 improper: 8/12
Find the inverse of f restricted to this domain f ( x ) = ( x − 6 ) 2 f ( x ) = ( x - 6 ) 2
Answers
Answer:
The inverse of f is x=8
Step-by-step explanation:
I did it
Als antifreeze makes three types of antifreeze Al's Special Blend which contains 54% ethylene glycol, Al's Deep Freeze which contains 72% ethylene glycol, and Al's Lite which contains 28% ethylene glycol. How many gallons of each antifreeze should Al mix to make 600 gallons of Al's Old Fashioned Antifreeze which is 44% ethylene glycol, if he is required to use twice as much of Al's Special Blend as of Al's Deep Freeze.
Answers
Emily, this is the solution:
• Special blend = 54% or 0.54 ethylene glycol (Twice as much as Deep freeze)
,• Deep freeze = 72% or 0.72 ethylene glycol
,• Lite = 28% or 0.28 ethylene glycol
We want 600 gallons of Old Fashioned Antifreeze 44% ethylene glycol
Let x to represent the number of gallons of Deep freeze, therefore:
0.72x + 0.54 (2x) = 600 (0.44)
0.72x + 1.08x = 264
1.8x = 264
Dividing by 1.8 at both sides:
1.8x/1.8 = 264/1.8
x = 146.7 (Gallons of Deep freeze)
2x = 293.4 (Gallons of Special blend)
Let's prove our answer is correct:
146.7 (0.72) + 293.4 (0.54) = 600 (0.44)
105.624 + 158.436 = 264
264 = 264
Our answer is correct. We need 146.7 Gallons of Deep freeze and 293.4 Gallons of Special blend.
the ratio of potatoes to turnips is 1:1.if there are 473 potatoes how many turnips are there.
Answers
Answer:
473
Step-by-step explanation:
1:1
473:x
Cross Multiply
1x=473
Divide both sides by 1
x=473
HEY YOU!! PLEASE I NEED HELPPP
find angle BAC and angle FAB
Answers
Answer:
m∠BAC = 105°
m∠FAB = 75°
Step-by-step explanation:
By using the property of an exterior angle of a triangle,
Measure of an exterior angle is equal to the sum of opposite two angles of a triangle.
From the triangle given in the picture,
m∠ABC + m∠BCA + m∠CAB = 180°
(13x - 3)° = (3x + 2)° + 55°
13x - 3 = 3x + 57
13x - 3x = 57 + 3
10x = 60
x = 6
m∠FAB = (13x - 3)° = 75°
m∠ABC = (3x + 2)° = 20°
Since, ∠BAC and ∠FAB are the linear pair of angles,
m∠BAC + m∠FAB = 180°
m∠BAC + 75° = 180°
m∠BAC = 180° - 75° = 105°
Write the piecewise defined function for the total cost of parking in the garage. That is, state the function C(x), where x is the number of hours a car is parked in the garage.
Answers
Answer:
\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)
Step-by-step explanation:
Given
See attachment for question
Required
The piece-wise function
From the attachment, we have:
(1) $4/hr for first 2 hours
This is represented as:
\(C(x) = 4x\)
The domain is: \(0 \le x \le 2\)
(2) $2/hr for next 4 hours
Here, we have:
\(Rate = 2\)
The total cost in the first 2 hours is:
\(C(x) = 4x\)
\(C(2) = 4*2 = 8\)
So, this function is represented as:
\(C(x) = C(2) + Rate * (Time - 2)\) ----- 2 represents the first 2 hours
So, we have:
\(C(x) = C(2) + Rate * (Time - 2)\)
\(C(x) =8 + 2(x - 2)\)
Open brackets
\(C(x) =8 + 2x - 4\)
Collect like terms
\(C(x) =8 - 4+ 2x\)
\(C(x) =4+ 2x\)
The domain is:
\(2 < x \le 2 + 4\)
\(2 <x \le 6\)
(3) 0 charges for the last 2 hours
The maximum charge from (2) is:
\(C(x) =4+ 2x\)
\(C(6) = 4 + 2*6\)
\(C(6) = 4 + 12\)
\(C(6) = 16\)
Since there will be no additional charges, then:
\(C(x) = 16\)
And the domain is:
\(6 < x \le 8\) --- 8 represents the limit
So, we have:
\(C(x) = \left[\begin{array}{ccc}4x &0 \le x \le 2& \\4 +2x &2 < x \le 6& \\16 &6<x\le 8& \end{array}\right\)
James can read 520 words in 2 minutes.
Luke can read 960 words in 5 minutes. At
what rates are James and Luke able to read?
Answers
James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
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James's rate is 260 words per Minute and Luke's rate 192 words per minute.
What is a definition of rate?a quantity, amount, or degree of something measured per unit of something else. Her typing speed was 80 words per minute.: a payment or charge based on another sum Specifically, the premium amount per unit of insurance.The rate at which a variable changes over a given time period. It is frequently used when discussing momentum, and it can be defined as a ratio of a change in one variable to a comparable change in another. This ratio is represented graphically by the slope of a line.James can read 520 words in 2 minutes.
i.e. James can read 260 words per Minute.
Luke can read 960 words in 5 minutes.
i.e. Luke can read 192 words per minute.
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\(( - 2a \times 4b) - ( - 12a \times 6b)\)
how do u do this
Answers
The value of the given expression is 64ab.
What are Expressions?Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.
Given a mathematical expression which includes the basic operations of multiplication and subtraction.
There are two terms for the expression, (-2a × 4b) and (-12a × 6b).
-2a × 4b = -8ab
-12a × 6b = -72ab
(-2a × 4b) - (-12a × 6b) = (-8ab) - (-72ab)
Two negatives become positive.
(-8ab) - (-72ab) = -8ab + 72ab
Both are like terms since the variables a and b are same. Just subtract it.
-8ab + 72ab = 64ab
Hence the solution of the difference of the expression is 64ab.
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Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Answers
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
To know more about area of rectangle refer to:
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solve for y. 2x-y=12
Answers
Answer:
2x - 12 = y
Step-by-step explanation:
→ Add y to both sides
2x = 12 + y
→ Minus 12 from both sides
2x - 12 = y