Answer:
You would use > and <, if the first number is greater than the other, you would use >, and vice versa. For the others, you would write the numbers in the order stated, for example, 0, 5, and -7 would be written as -7, 0, 5, -7 being the smallest number, and 5 being the biggest number. Hope this helps.
Answer:
1: <
2: >
3: <
4: <
5: >
6: >
7: _-7_0_5_
8: _-10_3_10_
10: _-1/2_-8_0_1/2
There are the answers, the only one im not sure about is 10
In a recent survey of 36 people, 18 said that their favorite color of car was blue.
What percent of the people surveyed liked blue cars? Explain your answer with every step you took to get to it.
Answer: The percentage of people surveyed who liked blue cars is 50%.
Step-by-step explanation:
Total number of people partaking in survey= 36
number of people who like blue cars= 18
therefore, fraction of people who liked blue cars= \(\frac{18}{36}\)
hence, percentage of people who liked blue cars= (18/36)*100 %
= 50%
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Answer:
Percentage of people who like blue-coloured cars is 50%
Number of people who were surveyed=36
Number of people who like blue-colored cars=18
Therefore, Percentage of people who like blue cars= (Number of people who like blue cars/ Number of people who were surveyed)*100
=(18/36)*100
=50%
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PLEASE HELP ME!!!!!
Identify which color of graph (black, red, blue, green, or purple) goes with each of the five equations on the left.
Match the equation and the color and explain how you made your choice?
The graphs of the equations are
f(x) = -x²/3 is purplef(x) = -3x² is greenf(x) = 0.05x² is blackf(x) = 2x² is redf(x) = 5x² is blueWhat is a graph?A graph is a pictorial representatioh of a function.
How to match each equation and color and explain how you made your choice?Since we have the functions
f(x) = 2x², f(x) = -3x², f(x) = 2x², f(x) = 0.05x², f(x) = -x²/3, f(x) = 5x²,We see that the general representation of the functions is f(x) = Ax², where A is a positive or negative number.
Now, to match the graphs, we consider these properties
the greater the magnitude of A, the wider the graph. The smaller the magnitude of A, the narrower the graph.Also, if a is negative, the graph is below the x -axisSo, considering these the graphs of the equations are
f(x) = -x²/3 is purplef(x) = -3x² is greenf(x) = 0.05x² is blackf(x) = 2x² is redf(x) = 5x² is blueLearn more about graphs here:
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If a die is rolled one time, find the probability of getting a six.
P(6) = ?
Answer: \(\;\;\frac{1}{6} , \;\; 0.16667,\;\; \text{or about}\;\;17\%\)
Step-by-step explanation:
A regular dice has 6 sides, and only one of those sides side has a six.
We write probability as;
\(\displaystyle \frac{\text{wanted outcomes}}{\text{possible outcomes}} = \frac{\text{number of times six is on the dice}}{\text{number of numberss on the dice}} =\frac{1}{6}\)
Hi, there!
_______
\(\boxed{\boxed{\sf{Probability=\dfrac{Favorable \ Outcomes}{Total \ Outcomes}}}}\)
Here,
» Favourable Outcome(s) -> getting a 6 on a die (1 outcome), because only one side of a die has a six on it
» Total Outcomes -> 6 (you can only get 1, 2, 3, 4, 5, 6 if you roll one die)
So,
\(\sf{Probability_{(6)}=\dfrac{1}{6}}\)
Hope the answer - and explanation - made sense to you,
happy studying!!
\(\tiny\textit{frozen \ melody}\)
Solve the question below:
Answer:
x = 15
Step-by-step explanation:
3x+1+4x-3 = 103
7x = 105
x = 15
3. Teacher Carmen is a SPED teacher of children with behavioural problems. One day, she
found one pupil disturbing the rest of the class. Furious of what she saw, she got her
eraser and threw it to her pupil who was hit in the forehead. Do you agree with Teacher
Carmen's action to discipline her pupil?
a. Yes, because she has to correct the mis behaviour immediately.
b. No, because she acted at the height of her anger.
C. Yes, because the pupil's behaviour is disturbing the class and the teaching process.
The Teaching Profession
d. No, because a more appropriate technique can be used to control the behaviour
Answer:
d.
Step-by-step explanation:
No, because a more appropriate technique can be used to control the behaviour
If p2-8 = 17, which of the following
is a possible value of P
Answer:
+ 5, - 5
Step-by-step explanation:
p^2 - 8 = 17
p^2 = 17 + 8
p^2 = 25
= 5 x 5
p^2 = 5^2
p = ± 5
The rule is “Left, Right, Left, Down.” Which way does the 19th arrow point?
If you invest $1773 in an account that pays simple interest of 6 % How much Interest will you have
earned after 7 years?
Answer:
the interest earned will be $106.38.
100 Points
What is the value of the logarithmic or exponential expression?
Select True or False for each statement
Answer:
True, False, False-------------------------------------------
Let's simplify left sides of each statement and compare with right sides:
\(3^{5log_32}=3^{log_32^5}=3^{log_332}=32 \implies True\)\(2 ln\ e^{1/4}=2*1/4*ln\ e^{}=2*1/4*1=1/2\implies False\)\(e^{2ln e-1}=e^{2*1-1}=e^{2-1}=e^1=e \implies False\)You buy butter for $3 a pound.
One portion of onion compote requires 1.7 oz of butter.
How much does the butter for one portion cost? Round to the nearest cent.
There are 16 ounces in one pound.
Set up a proportion and solve for x.
3/x = 16/1.7
16x = 3(1.7)
16x = 5.1
x = 5.1 ÷ 16
x = 0.31875
Rounding to the nearest cent, we get 30 cents.
On which triangle can the law of cosines be applied once to find an unknown angle measure? Law of cosines: a2 = b2 + c2 – 2bccos(A) Triangle X W Y is shown. Angle X Y W is a right angle. The length of hypotenuse W X is y, the length of X Y is a, and the length of W Y is 9. Triangle W X Y is shown. Sides W X and X Y are congruent. The length of W Y is 7. Triangle W X Y is shown. Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y. Triangle W X Y is shown. The length of W X is 10, the length of X Y is 8, and the length of W Y is 16.
Answer:
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
Step-by-step explanation:
On which triangle can the law of cosines be applied once to find an unknown angle measure?
The Law of cosines is given as:
a² = b² + c² - 2bccos(A)
From the options given above, the correct option is Option C
C) Angle X Y W is 76 degrees. The length of X Y is 5, the length of W Y is 10, and the length of W X is y.
This is because:
Law of Cosines helps us to find an unknown side of a triangle when we are given 2 known sides and 1 angle.
In the above question, we are given angle 76 degree, and the length of two sides: The length of X Y is 5, the length of W Y is 10
The unknown side is the length of W X which is represented as y.
Hence, Option C is the correct option.
Answer:
D
Step-by-step explanation:
I got it right on my program.
Suppose that a and b are integers with a < b How many numbers are in the list a, a+1, a+2.... b?
So I thought about doing a-(a-1) to get the first number to one so the list becomes 1,2,3 but i soon realized that does not work
The count of numbers in the list a, a+1, a+2.... b is b - a + 1
How to determine the count of numbers in the list a, a+1, a+2.... b?The list of numbers is given as:
a, a+1, a+2.... b
From the above list, we can see that the numbers are consecutive numbers.
This means that, the count of numbers in the list is
Count = Highest - Least + 1
Where
Highest = b
Least = a
Substitute the known values in the above equation
Count = b - a + 1
Hence, the count of numbers in the list a, a+1, a+2.... b is b - a + 1
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Given m ∥ n, find the value of x.
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
HELP PLEASE ILL GIVE BRAINLIEST
At a local restaurant, the health inspector visits every 7 days, and the fire inspector visits every 12 days. (a) Make a table for the next 4 visits for each inspector. (b) In how many days will both inspectors visit on the same day? Show your work.
Lol I don't know how to make a table on this site, but I will try!
___________________________________________
health: __7__⊥__14___⊥__21__⊥__28_
fire: 12 ║ 24 ║ 36 ║
__________________________________________
There are not any common factors between 7 and 12 until they are multiplied
The health inspector and the fire inspector will visit on the same day in 84 days
Hope I helped! Comment if you have a question about my answer! :)
find the perimeter of the composite figure. 11 19.5 16 m 18m
The perimeter of the composite figure that is given above would be = 96.6m.
How to calculate the perimeter of the given figure?To calculate the perimeter of the given shape, it has to be divided into two.
First shape is a rectangle. Therefore the perimeter of a rectangle is calculated with the formula = 2(l+w)
Where ;
length = 16m
width = 11m
perimeter = 2(16+11)
= 2×27
= 54m
The second shape:
Perimeter of triangle = l+w+h
where;
length = 18-11 = 7m
width = 16m
height = 19.5m
perimeter = 7+16+19.5 = 42.5m
Therefore, the perimeter of the shape = 54+42.5 = 96.6m
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Solve by graphing (y= x + 4)
(x-y=1)
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
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Share your own multi-step combination problem
My own multi-step combination problem is given below:
Amanda was planning a dinner party for 10 people, and she want to choose a menu of 3 fruit , 2 meat pie, and 2 desserts. Amanda have a total of 5 fruit , 4 meat pie, and 3 desserts to choose from. How many different dinner menus can Amanda create?How do you solve the multi-step combination?To solve this problem, Amanda need to use the formula for combinations and it is:
nCr = n! / (r! x (n-r)!)
where:
n = total number of items to select from
r is the number of items to select.
First, we have to calculate the number of ways to select 3 fruit from 5, hence it will be:
5C3
= 5! / (3! x (5-3)!)
= 10
Next, we have to calculate the number of ways to select 2 meatpie from 4 and it will be
4C2
= 4! / (2! x (4-2)!)
= 6
Lastly,, we need to calculate the number of ways to select 2 desserts from 3 and it will be:
3C2
= 3! / (2! x (3-2)!)
= 3
To have the total number of dinner menus, we have to multiply these three numbers together:
= 10 x 6 x 3
= 180
Therefore, one can say that Amanda have 180 different dinner menus that she can be create.
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A man wants to mesure the height of a nearby building. He places a 7ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building. The total length of the building’s shadow is 162ft, the pole casts a shadow that is 5.5ft long. How tall is the building? Round your answer to the nearest foot.
The height of the building is approximately 227 feet.
In the given question, a man wants to measure the height of a nearby building. He places a 7 ft pole in the shadow of the building so that the shadow of the pole is exactly covered by the shadow of the building.
The total length of the building's shadow is 162 ft, and the pole casts a shadow that is 5.5 ft long. We have to determine the height of the building.The given situation can be explained with the help of a diagram.
As shown in the figure above, let AB be the building and CD be the 7 ft pole. The height of the building is represented by the line segment AE, which is to be determined. Let the length of the shadow of the pole be CD and that of the building be BD.
Therefore, the length of the total shadow will be BC or CD + BD.According to the question, the shadow of the pole is exactly covered by the shadow of the building. This implies that the two triangles AEF and CDF are similar. Hence, the corresponding sides are proportional. Therefore, we have:AE/EF = CD/DF
On substituting the values from the given data, we get:
AE/(EF + 5.5) = 7/5.5.... (1)
Similarly, we can write from the given data:
BD/DF = 162/5.5.... (2)
From equations (1) and (2), we can write:
AE/(EF + 5.5) = BD/DF => AE/(EF + 5.5) = 162/5.5.... (3)
On solving the above equation for AE, we get:
AE = (7/5.5) × (162/5.5 - 5.5)≈ 226.6 ft
Therefore, the height of the building is approximately 227 feet.
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shareholders. Calculate the amount of dividend r of dividend received by Bishwant. Curriculum Development Centre. Sanothimi. Bhaktanur 65 Vedanta Excel in Mathematics - Booeceived by Mrs. Rai. b) A Business Company sold 2,500 shares at Rs 1,200 per share. Bishwant bought 450 shares. If the company earned a net profit of Rs 39,00.000 in a year and it announced to distribute 18% dividend from the net profit to its shareholders, find the amount
3900000×18% = 702000
702000÷2500 = 280.8 per share dividend
450×280.8 = 126360
Which picture below best represents ?
Answer:
Step-by-step explanation:
0.2
Answer:
0.2
Step-by-step explanation:
i did it :)
4 point3. What is the solution of the system of equations below?2x + 3y = 7x + y = 3O (1,2)(2,1)0 (4-1)(4,1)
We want to find the value of x and y that satisfy both equations:
2x + 3y = 7
x + y = 3
We are going to solve it using the Elimination Method.
Elimination MethodWe want to find an equation with only one variable based on both given equations.
We are going to add both sides of them.
In that addition we want that the term with x is 0.
In order to do it we transform the second equation multiplying it by -2, because
2x - 2x = 0x
Step 1: transforming the second equation
We multiply both sides of the second equation by -2:
x + y = 3
↓
-2(x + y) = -2 · 3
↓ since -2(x + y) = -2x - 2y and -2 · 3 = -6
-2x - 2y = -6
Then we have the equations:
2x + 3y = 7
x + y = 3
↓
2x + 3y = 7
-2x - 2y = -6
Step 2: adding both equations
Now we add each side of both equations:
2x + 3y = 7
-2x - 2y = -6
_________
0x + 1y = 1
Then, simplifying the result:
y = 1
Step 3: finding x value
We replace y by 1 on any of both original equations:
x + y = 3
↓ since y = 1
x + 1 = 3
↓ taking 1 to the right side
x = 3 - 1
x = 2
Step 4: ordered pair
In an ordered pair we wirte first the x value and then the y value:
(x, y)
↓
(2, 1)
Answer: B. (2, 1)As a salesperson at Scrapbooks and Treasures, Alysse receives a monthly base pay plus commission on all that she sells. If she sells $400 worth of merchandise in one month, she is paid $292. If she sells $800 of merchandise in one month, she is paid $384.
Here is the salary function used to represent this situation in terms of the amount of merchandise sold:
s(x) = 0.23x + 200
Find Alysse's salary when she sells $2,200 worth of merchandise.
Step-by-step explanation:
As a salesperson at Scrapbooks and Treasures, Alysse receives a monthly base pay plus commission on all that she sells. If she sells $400 worth of merchandise in one month, she is paid $292. If she sells $800 of merchandise in one month, she is paid $384.
Here is the salary function used to represent this situation in terms of the amount of merchandise sold:
s(x) = 0.23x + 200
Find Alysse's salary when she sells $2,200 worth of merchandise.
Ahmed has a large can of applesauce. He gives 1/3 of th
applesauce to Sasha. Sasha uses 1/10 of the applesauce to bake
muffins. How much of the original container of applesauce does
Sasha use to bake muffins?
By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.
How to take the product of two fractions?
Remember that the product of two fractions is just:
\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)
Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:
\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)
This means that she uses 1/30 of the original container of applesauce to bake muffins.
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Each time a hurricane arrives, a new home has a 0.4 probability of experiencing damage. The occurrences of damage in different hurricanes are mutually independent. a. Calculate the probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage. b. Calculate the probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes. c. Calculate the mode of the number of hurricanes it takes for the home to experience damage from three hurricanes.
Using the binomial distribution, we find that:
a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
c) The mode is of 7.5 hurricanes.
For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
It gives the probability of exactly x successes on n trials, with p probability.
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The mode of the number of trials needed for q successes is given by:
\(M = \frac{q}{p}}\)
In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus \(p = 0.4\).
Item a:
This is the probability of at most 1 damage in 3 hurricanes, which is:
\(P(X \leq 1) = P(X = 0) + P(X = 1)\)
With \(n = 3\).
In which
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216\)
\(P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432\)
Then
\(P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648\)
0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.
Item b:
1 in the first three, with 0.432 probability.Damage in the fourth, with 0.4 probability.Then
\(0.432(0.4) = 0.1728\)
0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.
Item c:
Damage from 3 hurricanes, thus q = 3.Then:
\(M = \frac{3}{0.4}} = 7.5\)
The mode is of 7.5 hurricanes.
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hello can you help me with this question
Answer:
B. x is less than or equal to 5
Step-by-step explanation:
The dot is on 5 and is also a solid dot which means it is less than or equal to or greater than or equal to
In this case it is less than or equal to because the line goes to the left
Hope this helped!
In 2020 researchers took random samples to compare the proportion of adult females to the proportion of adult males who use 2 or more credit/debit cards. The adults were aged 21 and older and they lived in all areas of the U.S. Based on the data collected, the researchers computed a 96 percent confidence interval for the true difference between the proportions of adult females minus the proportion of adult males who use 2 or more credit/debit cards. The confidence interval is: (0.013, 0.049). Assume all checks have been verified.
Question:
Choose the best answer below concerning the confidence interval for the difference between the true proportions of adult females minus the true proportion of adult males who use 2 or more credit/debit cards.
Using the z-distribution, it is found that the correct option is:
\(p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)
A confidence interval is given by:
\(p \pm zs\)
In which:
p is the estimate of the proportion.z is the critical value.s is the standard error.In this problem, the proportions are:
A proportion \(p_1\) in a sample of size \(n_1\).\(p_2\) in a sample of size \(n_2\).Hence, the standard errors are:
\(s_1 = \sqrt{\frac{p_1(1 - p_1)}{n_1}}, s_2 = \sqrt{\frac{p_2(1 - p_2)}{n_2}}\)
When two proportions are subtracted, the estimate is the subtraction of proportions, while the standard error of the subtraction is the square root of the sum of each standard error squared, hence:
\(p = p_1 - p_2\)
\(s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)
Thus, the interval is:
\(p_1 - p_2 \pm z\sqrt{\frac{p_1(1 - p_1)}{n_1} + \frac{p_2(1 - p_2)}{n_2}}\)
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which of the following are identities? check all that apply A. cot^2x+1=csc^2x B.tan^2=1-sec^2x C.sin2^x=1=cos^2x D.sin^2x+cos^2x=1
√38 I’m not sure how to solve these kinds of equations
Answer:
√38
Step-by-step explanation:
√38
step 1: Check which squared numbers can be multiplied by another number to get 38.
Start with these numbers: 4, 9, 16, and 25
Step 2: Testing out the numbers
√25 × __ = 25 can't be divided by 38
√16 × ___ = 16 can't be divided by 38
√9 × ____ = 9 can't be divided by 38
√4 × ____= 4 can't be divided by 38
Step 3: Answer
After trying the square root numbers that could possibly work with √38 none work; which means √38 can't be simplified. So the answer is √38
I hope this helps!
An exam worth 318 points contains 69 questions Some questions are worth 8 points, and the others are worth 2
points How many 8 point and 2-point questions are on the test?
Answer:
There were 30 8-points questions and 39 2-points question.
Process :-
Let the number of 8 points questions be x and 2 points questions be y.
Now,
8x+2y =318
x+y = 69
(according to the question)
x+y=69
x=69-y
plug in the value of x in the next equation 8x+2y=318,
8x+2y=318
or, 8(69-y)+2y=318
or, 552-8y+2y=318
or, -6y=318-552
or, -6y = -234
so, y = -234/-6
so, y = 39
Again,
x+y=69
or, x+y = 69
or, x+39 = 69
so, x = 30