Explain why commutative and associative properties don’t hold true for subtraction and division but the identity properties do ?
Answers
Glad I can help you!!
Answer:
Definition: The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis.
The word "commutative" comes from "commute" or "move around", so the Commutative Property is the one that refers to moving stuff around. For addition, the rule is "a + b = b + a"; in numbers, this means 2 + 3 = 3 + 2. For multiplication, the rule is "ab = ba"; in numbers, this means 2×3 = 3×2.
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Related Questions
800,000+6,000+300+2 expanded form
Answers
Answer:
because its already in expanded, all I can say is normal form would be
806,302.
The measure of the supplementary of an angle is 20° more then three times the measure of the original angle. Find the measures of the angles. 4. What equation can you use to find the measure of the original angle?
Answers
Supplementary angles are two angles whose measures add up to
180
°
.
The two angles of a linear pair , like
∠
1
and
∠
2
in the figure below, are always supplementary.
But, two angles need not be adjacent to be supplementary. In the next figure,
∠
3
and
∠
4
are supplementary, because their measures add to
180
°
.
Example 1:
Two angles are supplementary. If the measure of the angle is twice the measure of the other, find the measure of each angle.
Let the measure of one of the supplementary angles be
a
.
Measure of the other angle is
2
times
a
.
So, measure of the other angle is
2
a
.
If the sum of the measures of two angles is
180
°
, then the angles are supplementary.
So,
a
+
2
a
=
180
°
Simplify.
3
a
=
180
°
To isolate
a
, divide both sides of the equation by
3
.
3
a
3
=
180
°
3
a = 60 °
The measure of the second angle is,
2 a = 2 × 60 ° = 120 °
So, the measures of the two supplementary angles are
60
°
and
120
°
.
Example 2:
Find
m
∠
P
and
m
∠
Q
if
∠
P
and
∠
Q
are supplementary,
m
∠
P
=
2
x
+
15
, and
m
∠
Q
=
5
x
−
38
.
The sum of the measures of two supplementary angles is
180
°
.
So,
m
∠
P
+
m
∠
Q
=
180
°
Substitute
2
x
+
15
for
m
∠
P
and
5
x
−
38
for
m
∠
Q
.
2
x
+
15
+
5
x
−
38
=
180
°
Combine the like terms. We get:
7
x
−
23
=
180
°
Add
23
to both the sides. We get:
7
x
=
203
°
Divide both the sides by
7
.
7
x
7
=
203
°
7
Simplify.
x
=
29
°
To find
m
∠
P
, substitute
29
for
x
in
2
x
+
15
.
2
(
29
)
+
15
=
58
+
15
Simplify.
58
+
15
=
73
So,
m
∠
P
=
73
°
.
To find
m
∠
Q
, substitute
29
for
x
in
5
x
−
38
.
5
(
29
)
−
38
=
145
−
38
Simplify.
145
−
38
=
107
So,
m
∠
Q
=
107
°
.
A basketball player averages 22.5 points scored per game with a standard deviation of 6.2 points. In one game, the number of points the athlete scored was 1.2 standard deviations below his mean. How many points below average was this value?
Answers
Answer:
7.44 is the answer
Step-by-step explanation:
Using the normal distribution, it is found that this value was 7.5 points below the average.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 22.5, \sigma = 6.2[/tex].
In one game, the number of points the athlete scored was 1.2 standard deviations below his mean, hence Z = -1.2 and the score was of X, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.2 = \frac{X - 22.5}{6.2}[/tex]
X - 22.5 = -1.2 x 6.2
X = 15.
15 - 22.5 = 7.5.
This value was 7.5 points below the average.
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6 more than the product of 5 and a number.
Answers
The U.S.-based motorcycle manufacturer says that it expects to build 138000 motorcycles this year, up from 125000 last year. Find the percent of increase in production.
Answers
Answer:
10.4%
Step-by-step explanation:
138000-125000=13000
13000/125000 × 100 = 10.4
Anyone know this one I’m kinda bad at math lol
Answers
Answer:
1/ 9^5
Step-by-step explanation:
When dividing exponents with the same base, subtract the exponents
9^2 / 9^7
9 ^ (2-7)
9^ -5
We know that a^ -b = 1/ a^b
1/ 9^5
You can rewrite it as: (using the law of dividing exponents)
9^(2-7) = 9^(-5) = 1/(9^5)
The fourth one
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 71.3 Mbps. The complete list of 50 data speeds has a mean of x=18.29 Mbps and a standard deviation of s=20.59 Mbps.
a. What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
b. How many standard deviations is that [the difference found in part (a)]?
c. Convert the carrier's highest data speed to a z score.
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Highest speed measured = 71.3 Mbps
Mean speed (x) = 18.29 Mbps
Standard deviation (s) = 20.59
a.) What is the difference between carrier's highest data speed and the mean of all 50 data speeds?
(71.3 - 18.29) Mbps = 53.01 Mbps
b. How many standard deviations is that [the difference found in part (a)]?
53.01 / 20.59 = 2.57
c. Convert the carrier's highest data speed to a z score.
Zscore = (score - mean) / standard deviation
Zscore = (71.3 - 18.29) / 20.59
Zscore = 2.57
d. If we consider data speeds that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the carrier's highest data speed significant?
Yes, this highest speed is significant as it's Zscore is higher than 2 (2.57).
On a baseball team, the ages of each of the players are as follows: 21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40 Use your calculator or computer to find the mean and standard deviation. Then find the value that is two standard deviations above the mean.
Answers
Answer:
Mean = 30.68
Standard deviation = 6.095
Two standard deviations above the mean = 42.87
Step-by-step explanation:
Given the following data :
21; 21; 22; 23; 24; 24; 25; 25; 28; 29; 29; 31; 32; 33; 33; 34; 35; 36; 36; 36; 36; 38; 38; 38; 40
Mean = Σ(x) / n
n = 25
Σ (X) = 767
Mean (m) = 767 / 25
Mean (m) = 30.68
Standard deviation : sqrt[Σ(x - m) / n]
Using a calculator :
Standard deviation = 6.095 ( 2 decimal places)
2 standard deviations above the mean :
Mean + 2(standard deviation)
Mean + 2(6.095)
30.68 + 12.19
30.68 + 12.19
= 42.87
please help, timed
Which of the following order of transformations best describes how to sketch the graph of
h(x)=(1-x)^3?
Answers
Answer: Starting with the graph of the basic function f(x)=x^3, horizontally shift the graph to the left one unit, and then reflect the graph about the y-axis.
Step-by-step explanation: took the test!!
The order described for sketching the graph of [tex]h(x)=(1-x)^3[/tex] basic function [tex]f(x)=x^3[/tex] horizontally shifts the graph to the left one unit, and then reflects the graph about the y-axis.
How to sketch the graph?Since the equation is [tex]h(x)=(1-x)^3[/tex]
So here we have to start with the basic function i.e. [tex]f(x)=x^3[/tex] in the graph, after that we shift the graph to the left one unit in a horizontal way. After this, the graph should represent the y-axis.
Therefore, The order described for sketching the graph of [tex]h(x)=(1-x)^3[/tex] basic function [tex]f(x)=x^3[/tex], horizontally shifts the graph to the left one unit, and then reflects the graph about the y-axis.
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Luke has a board 5/6 of a yard long. He needs to cut the board into 5 equal sections.
Use the expression ___?___to find the length of each section.
Each section is___?____ yard long.
Answers
Answer:
5/6÷ 5 and 1/6
Step-by-step explanation:
because the person above me is right.
Answer:
5/6÷ 5 and 1/6
explanation:
i did the test
Darryl also needs to find a better deal on bread. Rank the stores from 1 to 4 based on their unit prices. Use the drop-down menus to label the lowest price per loaf with “1” and the highest price per loaf with “4.”
Answers
Answer:
Store A:
✔ 4
Store B:
✔ 1
Store C:
✔ 3
Store D:
✔ 2
Step-by-step explanation:
The ranking of the stores from the lowest to the highest price per loaf would be: B, D, C, A.
Given is a table of bread price we need rank the unit prices of the stores from lowest price per loaf to the highest price per loaf,
To rank the stores based on their unit prices for bread, we need to calculate the price per loaf for each store.
Let's calculate the unit prices for each store and then rank them accordingly:
Store A:
Price: $6.50 for 5 loaves
Unit price: $6.50 / 5 = $1.30 per loaf
Store B:
Price: $7.50 for 10 loaves
Unit price: $7.50 / 10 = $0.75 per loaf
Store C:
Price: $18.75 for 15 loaves
Unit price: $18.75 / 15 = $1.25 per loaf
Store D:
Price: $22.00 for 20 loaves
Unit price: $22.00 / 20 = $1.10 per loaf
Based on the calculated unit prices, we can now rank the stores:
Store B: The unit price is the lowest at $0.75 per loaf.
Store D: The unit price is $1.10 per loaf.
Store C: The unit price is $1.25 per loaf.
Store A: The unit price is the highest at $1.30 per loaf.
Therefore, the ranking of the stores from the lowest to the highest price per loaf would be: B, D, C, A.
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complete question =
Darryl also needs to find a better deal on bread. Rank the stores from 1 to 4 based on their unit prices. Use the drop-down menus to label the lowest price per loaf with “1” and the highest price per loaf with “4.”
Store Advertised Bread Prices
A 5 loaves for S6.50
B 10 loaves for $7.50
C 15 loaves for S18.75
D 20 loaves for $22.00
What value of x will make the equation true? (√5) (√5)=x
Answers
Answer:
25
Step-by-step explanation:
The market research department at a manufacturing plant determines that 40% of the people who purchase the plant's product during any month will not purchase it the next month. On the other hand, 20% of the people who do not purchase the product during any month will purchase it the next month. In a population of 1000 people, 200 people purchased the product this month. How many will purchase the product next month and in 2 months
Answers
Answer:
250 people will purchase the product next month
312 people will purchase the product in 2 month
Step-by-step explanation:
Total Population = 1000
People who purchased plant's product= 200
People who did not purchase = 800
Next month:
= 200 * (60%) + 800 * (20%)
= 200 * 60/100 + 800 * 20/100
= 120 + 160
= 280 people
Thus, 250 people will purchase the product next month
In 2 month:
= 280 * (60%) + 720 * (20%)
= 280 * 60/100 + 720 * 20/100
= 168 + 144
= 312 people
Thus, 312 people will purchase the product in 2 month
: A consumer electronics company has observed that 36 percent of their customers purchased a plasma screen television, that 26 percent of their customers purchases a DVR, and 12 percent of their customers purchased both a plasma screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
Answers
Answer:
The probability that a randomly chosen customer either purchases a plasma screen TV or a DVR is 0.50 or as a percentage 50%.
Step-by-step explanation:
A consumer electronics company has observed that 36 percent of their customers purchased a plasma screen television, that 26 percent of their customers purchases a DVR, and 12 percent of their customers purchased both a plasma screen TV and a DVR. Find the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR.
We have two elements in this set
Customers that purchase a plasma Screen ( S)
Customers that purchase a DVR (D)
From the question:
Customers that purchased a plasma screen television (P) = 36% = 0.36
Customers that purchased a DVR (D)= 26% = 0.26
Customers that purchased a plasma screen television and a DVR = ( S ∩ D) 12% = 0.12
Customers that purchased a plasma screen television = ( S ∪ D)
P ( S ∪ D) = P(S ) + P( D) - P ( S ∩ D)
P ( S ∪ D) = 0.36 +0.26 - 0.12
= 0.62 - 0.12
= 0.50
Converting to percentage = 0.50 × 100 = 50%
Therefore, the probability that a randomly chosen customer either purchases a plasma screen TV or a DVR is 0.50 or as a percentage 50%
Find the volume of the prism.
60 ft^2
42 ft^2
9 ft^3
24 ft^3
48 ft^3
Answers
Answer:
[tex] \boxed{\sf Volume \ of \ the \ prism = 24 \ ft^3} [/tex]
Given:
Length = 4 ft
Width = 2 ft
Height = 3 ft
To Find:
Volume of the prism
Explanation:
Prism in the the figure given is a rectangular prism.
Volume of rectangular prism is same as volume of cuboid.
Volume of rectangular prism = Length × Width × Height
= 4 × 2 × 3
= 24 ft³
1. How many solutions are there to the equation 2x^2-8=0?
Answers
Step-by-step explanation:
2x²=8
x²=4
x1=2; x2=-2
two solutions
which of the following is divisible by 90: 2,3,4,5,6,9,10
Answers
Answer: All of the numbers except for 4 is divisible by 90.
Step-by-step explanation: All the numbers beside 4 are divisible by 90 because they can all go into 90 equally.
what does b equal i need help
Answers
Note that ∠A + ∠B = 180°
Therefore:
(8x + 74°) + (2x + 56°) = 180°
Simplify:
10x + 130° = 180°
Subtract both sides by 130°:
10x = 50°
Divide both sides by 10:
x = 5
Plug x into ∠B:
∠B = 2(5) + 56° = 10 + 56° = 66°
Step-by-step explanation: If two parallel lines are cut by a transversal,
then same side interior angles are supplementary.
So in this problem, we know that m<A + m<B = 180°l.
~substitute
8x + 74 + 2x + 56 = 180
~simplify
10x + 130 = 180
10x = 50
x = 5
If we know that x = 5, we can use this information to find <b.
So we have 2(5) + 56 or 10 + 56 which is 66.
So x = 5 and m<B = 66°.
Question
Find the cardinal number of the set
{1x∣∣∣x∈ℤ and 2≤x≤5}
Answers
Answer:
4Step-by-step explanation:
For the given set, {1x∣∣∣x∈ℤ and 2≤x≤5}, x∈ℤ means that the elements of the set are integers and 2≤x≤5 means the integers are values from 2 to 5.
Note that integers are whole numbers. The integers from 2 to 5 are 2, 3, 4 and. 2 and 5 are included to due the equality sign present in the inequality.
The elements of the set are {2, 3, 4, 5}.
Cardinal number of the set is similar to cardinality of the set. In set theory, cardinality of a set is the total number of element in the set. According to the set above, the total number of element in the set is 4.
Hence the cardinal number of the set is 4
Buying a new backpack for which of these reasons is most likely a sound
financial decision?
A. You liked the ad for it online.
B. You were persuaded by a salesperson.
C. Your friend has one.
D. You need it to carry your books.
APEX
Answers
Answer:
D
Step-by-step explanation:
Buying the backpack to carry your books will help increase your efficiency.
1/3 of the fish in Dominic's fish tank are guppies. 3/4 of the guppies are red. What fraction of the fish in Dominic's tank are red guppies
Answers
Answer:
Look it up. it will helpp you work it out. i hope this helped.
Step-by-step explanation:
given f(x)=2/3(x+8) what is the value of f(-2)
Answers
Answer:
Step-by-step explanation:
f(-2) = 2/3(-2 + 8)
= 2/3(6) = 2(2) = 4
Find the equation of the line that passes through the point(2,-3)and is perpendicular to the line y=1/6x-2 . Write the equation using the slope-intercept form.
Answers
Answer:
Step-by-step explanation:
perp. -6
y + 3 = -6(x - 2)
y + 3 = -6x + 12
y = -6x + 9
*BRAINLIEST* The graphs below have the same shape. Complete the equation of the blue graph.
Answers
Answer:
(x-2)^2
Step-by-step explanation:
The blue graph is shifted two units to the right of the "original" function x^2 (red). Let's recall the vertex form of a quadratic:
a (x-h)^2 + k
where a represents a constant that describes the opening of the parabola (up/down); h represents horizontal shift; and k represents vertical shift.
The blue graph is two units to the right (+2), there is NO vertical shift and NO change in how the parabola opens.
So, let's plug the appropriate values into vertex form:
(x-(+2))^2
= (x-2)^2
Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.
Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29
Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45
Complete the statements.
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.
The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.
Answers
Answer:
First is equivalent then 29 last equivalent
Step-by-step explanation:
If both expressions have the same value, then they are equal to each other.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Consider the expressions 5 + 8k and 8k + 5.
Using k = 3
5 + 8k = 8k + 5
5 + 8(3) = 8(3) + 5
5 + 24 = 24 + 5
29 = 29
Using k = 5
5 + 8k = 8k + 5
5 + 8(5) = 8(5) + 5
5 + 40 = 40 + 5
45 = 45
If both expressions have the same value after substituting and simplifying two different values for the variable, then they are equal to each other.
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what percent of 132 grams is 43.2 grams ??
Answers
Chalk is an ionic compound. Which is a property of all ionic compounds that makes chalk particularly useful for writing on a chalkboard? A a high melting point B hardness and brittleness C inability to dissolve in water D a multicolored appearance
Answers
The correct answer is B. Hardness and brittleness
Explanation:
The ions in materials such as chalk and other ionic compounds are bonded by electrostatic forces. These features give ionic compound unique characteristics. This includes the fact these materials are usually hard, which means they do not deform easily and the fact these are brittle, which means they break easily.
These properties can be observed in chalk because the chalk itself keeps its shape or does not deform (hardness) but it breaks easily under pressure (brittleness), indeed due to this last property it is possible to write using chalk and due to the first property it is possible the chalk is a durable material.
Answer:
B.
Step-by-step explanation:
Find the uncertainty in a calculated average speed from the measurements of distance and time. Average speed depends on distance and time according to this function v(t,x) = x/t. Your measured distance and time have the following values and uncertainties x = 6.1 meters, 2.3 meters and t = 6.3 seconds and 1.5 seconds. What is the uncertainty in the average speed, ? Units are not needed in your answer.
Answers
Answer:
The uncertainty in the average speed is 0.134 meters per second.
Step-by-step explanation:
Let be [tex]v(t, x) =\frac{x}{t}[/tex] the average speed function, we calculate the uncertainty in the average speed by total differentials, which is in this case:
[tex]\Delta v = \frac{\partial v}{\partial x}\cdot \Delta x+\frac{\partial v}{\partial t}\cdot \Delta t[/tex]
Where:
[tex]\Delta v[/tex] - Uncertainty in the average speed, measured in meters per second.
[tex]\frac{\partial v}{\partial x}[/tex] - Partial derivative of the average speed function with respect to distance, measured in [tex]s^{-1}[/tex].
[tex]\frac{\partial v}{\partial t}[/tex] - Partial derivative of the average speed function with respect to time, measured in meters per square second.
[tex]\Delta x[/tex] - Uncertainty in distance, measured in meters.
[tex]\Delta t[/tex] - Uncertainty in time, measured in seconds.
Partial derivatives are, respectively:
[tex]\frac{\partial v}{\partial x} = \frac{1}{t}[/tex], [tex]\frac{\partial v}{\partial t} = - \frac{x}{t^{2}}[/tex]
Then, the total differential expression is expanded as:
[tex]\Delta v = \frac{\Delta x}{t}-\frac{x\cdot \Delta t}{t^{2}}[/tex]
If we get that [tex]\Delta x = 2.3\,m[/tex], [tex]t = 6.3\,s[/tex], [tex]x = 6.1\,m[/tex] and [tex]\Delta t = 1.5\,s[/tex], the uncertainty in the average speed is:
[tex]\Delta v = \frac{2.3\,m}{6.3\,m}-\frac{(6.1\,m)\cdot (1.5\,s)}{(6.3\,s)^{2}}[/tex]
[tex]\Delta v = 0.134\,\frac{m}{s}[/tex]
The uncertainty in the average speed is 0.134 meters per second.
Sophia is flying to New York with her family. The plane ascends to 13,045 feet above sea level. After flying at that altitude, the plane begins to descend at a rate of 250 feet per minute. What is the elevation after 12 minutes?
Answers
1. 1.267 expanded and word form 2. 2,456.98 expanded and word form 3. 34,568.2
Answers
1 One and two hundred sixty-eight thousandths
2 two thousand 4 hundred fifty-six and ninety-eight hundredths
3 thirty-four thousand five hundred sixty-eight and two tenths
