Mean = Sum of all observations/Number of observations
The value of the middlemost observation, obtained after arranging the data in ascending or descending order, is called the median of the data.
Given,
The set of scores = 0, 40, 60, 70, 75, 80, 85, 95, 95, 100
Mean without '0' = 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/9= 700/9
= 77.777
Median without '0' = 80Mean with ' 0' = 0+ 40+ 60+ 70+ 75+ 80+ 85+ 95+ 95+ 100/10 = 70Median with '0' = 80Learn more about mean and median here:
https://brainly.com/question/13228503
#SPJ1
A square has
has an area of
25 cm². show that the Perimeter of the square is
is 20 CM.
Step-by-step explanation:
[tex]l {25}^{2} [/tex]
L=5
5×4=20
The sun of a number and 14 written as an algebraic exspression?
Answer:
[tex]\mathrm{a + 14 = b}[/tex]
Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
Answer: he is 115 metters above sea level
Step-by-step explanation:
The mean of four numbers is 16
10
The numbers are in the ratio 1:7:3:5
Work out the range of the numbers. Show your workings.
16
Answer: 4, 28, 12, 20
Step-by-step explanation:
Let the numbers be x, 7x, 3x, 5x.
Then, because of their mean,
[tex]\frac{x+7x+3x+5x}{4}=16\\\\16x=64\\\\x=4[/tex]
So, the numbers are 4, 28, 12, 20.
# 12
EE.2
A health food store was charging $5.26 for a small salad but raised the price 20%. The new price after the increase is $6.31.
Enter an expression to show how the new price was calculated.
Answer:
Step-by-step explanation:
20% can be written as a fraction
20% = 20/100
20/100 = 1/5
5.26 x 1/5
1 x 5.26/ 5
5.26/5
1.052 = 1.05
Old price : $5.26
New price : $6.31
Increase : $1.05
The sum of the first six prime numbers is ?
Answer:
41
Step-by-step explanation:
A prime number is a whole number (bigger than 1) that is divisible only by itself and 1.
The first 6 prime numbers are 2, 3, 5, 7, 11 and 13.
2 + 3 + 5 + 7 + 11 + 13 = 41.
Answer: 41
Step-by-step explanation: We know that the first 6 prime numbers are 2, 3, 5, 7, 11, 13. We add them all and get 41!
vector v is 448 M long and a 224 direction. Ha W is 336 M long in a 75.9 directions find the magnitude of their Vector sum
The magnitude of the sum of vectors is 240.8 M
How to find the magnitude of the vector sum?We know that vector V has a magnitude of 448 meters and a direction of 224°, then the components are:
x-component = 448m*cos(224°) = -322.3my-component = 448m*sin(224°) = -311.2 mThe other vector W has a magnitude of 336 meters and a direction of 75.9°, then the components are:
x-component = 336m*cos(75.9°) = 81.9my-component = 336m*sin(75.9°)= 325.9mNow if we add these two vectors, the coordinates of the sum are:
< -322.3m + 81.9m, -311.2 m + 325.9m> = <-240.4 , 14.7>
Then the magnitude is:
M = √( (-240.4)^2 + ( 14.7)^2) = 240.8
The magnitude of the sum of vectors is 240.8 M
If you want to learn more about vectors:
https://brainly.com/question/3184914
#SPJ1
Find the measure of the angle indicated.
Answer:
127˚
Step-by-step explanation:
180-53=127
supplementary angles
Write an equation for 37.
Answer:
Can you please explain more about what do you mean about write a equation for 37.
Step-by-step explanation:
Alan has forgotten his 4-digit PIN code.
He knows it begins with a 2 and the 4 digits make an odd number.
How many different sets of 4 digits could it be?
Answer:
500 possibles
Step-by-step explanation:
First number 2 <==== one choice
Second number 10 choices ( 0 - 9 )
Third number 10 choices ( 0 - 9)
Fourth number 5 choices ( 1,3,5,7,9 )
1 x 10 x 10 x 5 = 500 possibles
Solve the following system of equations using either Gaussian elimination or a matrix. Write your answer as a point and explain how you would check your work:
2x-y+4z=33
x+2y-3z=-26
-5x-3y+5z=23
Using Gaussian elimination, the solution to the given system of equations is:
x = 5, y = -11, z = 3.
What is a system of equations?A system of equations is when multiple variables are related, and equations are built to find the values of each variable, according to the relations given in the problem.
The system is composed by these following equations:
2x - y + 4z = 33.x + 2y - 3z = -26.-5x - 3y + 5z = 23.For Gaussian elimination, the first step is building the augmented matrix of the system, for which which:
The first three columns are composed by the coefficients of x, y and z, respectively.The last column is composed by the results of the operations.Hence the augmented matrix of the system is:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\1&2&-3&-26\\-5&-3&5&23\end{array}\right][/tex]
Then, we need to make the coefficient of x zero in the second and third rows, which is a step to find the solution in an easier way, hence these following row operations are applied:
R2 -> 2R2 - R1.R3 -> 5R1 + 2R3.Then:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&-11&30&211\end{array}\right][/tex]
Now we need to make the coefficient of y on the third row zero, which will make it possible for us to solve for z hence the following row operation is applied:
R3 -> 11R2 + 5R3.
Then:
[tex]\left[\begin{array}{cccc}2&-1&4&33\\0&5&-10&-85\\0&0&40&120\end{array}\right][/tex]
Starting at the third row and moving up, we have that:
40z = 120 -> z = 3.5y - 10z = -85 -> y = -11.2x - y + 4z = 33 -> x = 5.Hence the solution to the given system of equations is:
x = 5, y = -11, z = 3.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Roxana fue de compras con 12000. ella gasto el 12% del dinero en carne, 25%en vegetales y guardo el resto ¿cuanto dinero guardo?
The amount that Roxana has left is $7560.
How to calculate the value?Total Amount = $12000
She spent 12% on meat and 25% on vegetables.
Therefore, the amount left will be:
= (100 - 12% - 25%) × 12000
= 63% × 12000
= 63/100 × 12000
= 0.63 × 12000
= $7560
Learn more about percentages on:
brainly.com/question/19247356
#SPJ1
the quotient of a number,x, and five is half the difference of a number and four write an equation that represents the statement
The equation that represents the quotient of a number x, and five is half the difference of a number and four is [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
Given,
The number = x
When you divide a number with another number the result is called the quotient
The quotient of a number x and five = [tex]\frac{x}{5}[/tex]
Difference of a number and four = x-4
Half the difference of a number and four = [tex]\frac{1}{2}(x-4)[/tex]
Here the quotient of a number x and five is half the difference of a number and four, the equation will be
[tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
Hence, the equation that represents the quotient of a number x, and five is half the difference of a number and four is [tex]\frac{x}{5}=\frac{1}{2}(x-4)[/tex]
Learn more about equation here
brainly.com/question/14686792
#SPJ1
Can someone please help with this, I am struggling and will also give brainliest for first person who answers the problem. thank you I n advance for you let help.
Answer:
Step-by-step explanation: When solving the perimeter for a quadrilateral you will add up all the sides and the all sides are the same so when you figure out the number from one side you will figure the rest of it. I think that one of the sides is 10 I'm not really sure but you you should the little square outside the shape and it should give you the answer to it.
I don't know if it is 10 or not and also the formula is P=a+b+c+d
Hope this advice helps :D
Simplify. 3√63 +√28
The value of the expression 3√63 +√28 is 5√7 or 13.228.
A number is a fundamental mathematical unit. For counting, measuring, and comparing quantities, we utilize numbers. A set of symbols, or numerals, used to represent numbers is known as a number system.
A square root is a factor of a number that yields the original number when multiplied by itself.
Consider the expression 3√63 +√28,
Let's assume x = 3√63 +√28
Now,
63 = 3 × 21 = 3 × 3 × 7
28 = 2 × 14 = 2 × 2 × 7
Therefore,
x = 3√63 +√28
x = √ [ 3 × 3 × 7 ] + √ [ 2 × 2 × 7 ]
x = ( √ 3² ) × ( √7 ) + ( √2² ) × √7
x = 3√7 + 2√7
x = ( √7 ) × [ 3 + 2 ]
x = ( √7 ) × 5
x = 5√7
x = 5 × 2.6457
x = 13.228
Hence, the value of 3√63 +√28 is equal to 13.228.
Learn more about expression here:
brainly.com/question/1718606
#SPJ4
Help asp 50 points
The graph represents a quadratic function write an equation of the function in standard form
Step-by-step explanation: I hope this helps.
Answer:
Here's is a polygon. Draw A scaled copy of the polygon useing a scale factor of 1/3
A copy of the polygon using scale factor of 1/3 is 3 units
What is polygon?A closed, two-dimensional polygon in mathematics is a shape with straight line segments. It does not have three dimensions. A polygon has flat surfaces throughout. A polygon must have three sides at a minimum. Only at its terminal must each side of a line segment cross another line segment. We can quickly determine the geometry of a polygon based on how many sides it has.
Given that,
The original value is 9
So, the copy of the poly is 1/3
So, the copy of polygon is 9×1/3 is 3
Therefore, the copy of the polygon is 3.
To know more about polygon, visit/
https://brainly.com/question/24464711
#SPJ9
Solve the mass energy equivalence formula e=m c² for c .
(F) c=e²m
(H) c=√e/m
(G) c=√m/e
(I) c=√(e-m)
The correct option is (H) c=√e/m.
The solution for mass energy equivalence formula e=m c² for the value of c is c = √e/m.
What is termed as the mass energy equivalence?An equation deduced from Einstein's Special Theory of Relativity that expresses the correlation between the mass & energy of mass objects.
Some key features related to the mass energy equivalence are-
E = mc², where E is the object's energy in joules, m is its relativistic mass in kilograms, & c is the speed of light (approximately 3 X 10⁸ meters per second). The concept of mass-energy equivalence states that the total mass of a system can change while the total & total momentum stay unchanged; for instance, the collision of an electron & a proton shatters the mass of both particles while producing energy in the form of photons. The discovery of mass-energy equivalence was critical in developing a theory of atomic fission and fusion reactions.As per the given question, the expression is;
=> e = m c²
=> c² = e/m
Now, taking square root of both sides.
=> c=√e/m
Therefore, the value of the c derived from the mass energy equivalence formula e=m c² is c=√e/m.
To know more about the mass energy equivalence, here
https://brainly.com/question/3171044
#SPJ4
The figures below is made of two identical triangular prisms. What is the volume of the figure?
A triangular prism is 1/2 the volume of a rectangular prism with the same dimensions. V = BH (Base x Width) of a triangular its 1/2BHThe base is 10 x 5, 50 is the base.The height is 6, and that would be 300 / 2 since it's triangular so its 150 inches squared for one. Since there are 2.The total volume is 300 inches squared.
what is the equation in slope intercept form of the line that passes throught the points (-4, 2) and (12, 6)
The equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
What are linear equations?Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
How to determine the equation of the line?The points are given as
(-4, 2) and (12, 6)
Calculate the slope of the points using
m = (y2 - y1)/(x2 - x1)
So, we have
m = (6 - 2)/(12 + 4)
Evaluate
m = 0.25
The equation is then calculated as
y = m(x - x1) + y1
Where
(x1, y1) = (-4, 2)
So, we have
y = 0.25(x + 4) + 2
Expand
y = 0.25x + 1 + 2
Evaluate
y = 0.25x + 3
Hence, the equation in slope intercept form of the line that passes through the points (-4, 2) and (12, 6) is y = 0.25x + 3
Read more about linear equations at
https://brainly.com/question/4074386
#SPJ1
5
Match each expression with its quotient.
a. 5.2 10
b. 520 - 10²
c. 52 - 10³
d. 5,200 10¹
0.052
0.52
5.2
52
520
5,200
The appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-1 = 0.52
How to illustrate the information?It should be noted that the information illustrated is simply about the power on the numbers. This was illustrated on the information.
In this case, it should be noted that the thing to f is to multiply the numbers or count the number of zeros and illustrate on the numbers.
Therefore, the appropriate matching of the expression will be:
5.2 × 10 = 52
5.2 × 10² = 520
5.2 × 10³ = 5200
5.2 × 10^-¹ = 0.52
Learn more about expressions on:
brainly.com/question/25968875
#SPJ1
f(x)=b x and g(x)=logbx are inverse functions. Explain why each of the following is true.
d. The function k(x)=logc x is a vertical stretch or compression of g or of its reflection -g .
It is true that the function k(x)= logc x represents a vertical stretch or compression of g.
What is Logarithmic Function?A logarithm is an exponent that is written in a specific way.For example, we know that the exponential formula 32 = 9 is correct. In this case, the base is 3 and the exponent is 2.The equation will be written in a logarithmic form as log3 9 = 2.So,
Given: k(x)= logc xThen,
k(x)=logb x/ logb ck(x)= 1/(logb c) g(x) ......{g(x)= logb x}k(x)= h.g(x)Therefore, it is true that the function k(x)= logc x represents a vertical stretch or compression of g.
Know more about Logarithmic Functions here:
https://brainly.com/question/13473114
#SPJ4
Solve each equation. Check your answers.
3 log x=1.5
3 log (x) = 1.5 => x = 3.162, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.Given: 3 log (x) = 1.5
=> log x = [tex]\frac{1}{2}[/tex] = 0.5
Raising both sides by 10, in order to remove the logarithm:
=> [tex]10^{log_{10}x} = 10^{0.5}[/tex]
=> x = 3.162 (as [tex]a^{log_a(x)} = x[/tex])
Hence, 3 log (x) = 1.5 => x = 3.162, by properties of logarithm.
To learn more about logarithms, refer to the link: brainly.com/question/25710806
#SPJ4
The cooking time depends on the temperature.
Answer: Cooking time depends on the temperature due to the heat and how long it will stay in the oven or on the stove
Step-by-step explanation: let's say if you cook salmon at 400 degrees for an hour it will change if you do it as 500 degrees the time can be prolonged or shorten depending on the temperature
An urn contains 5 tiles, each containing one of the numbers from 1 to 5. An experiment consists of selecting a tile, marking down its number, then replacing it and selecting a second tile and marking down its number. How many outcomes are in the sample space for this experiment?.
Answer:
if 312four + 52p = 96 find the value of p
If Amal can maintain that pace, how long will it take him to run 1 mile?
The time it would take Amal to run 1 mile if he maintains the pace is 12 minutes
From the question, we are to determine how long it would take Amal to run 1 mile
From the given information,
Amal can run 1\8 mile in 1 1\2 minutes.
First, we will calculate Amal's speed
Using the formula,
Speed = Distance/ Time
Then,
Amal's speed = 1/8 ÷ 1 1/2
Amal's speed = 1/8 ÷ 3/2
Amal's speed = 1/8 × 2/3
Amal's speed =1/12 miles/minute
Now, we will determine how long it would take him to run 1 mile
Time = Distance/ Speed
Time = 1 ÷ 1/12
Time = 1 × 12/1
Time = 12 minutes
Hence, the time it would take Amal to run 1 mile if he maintains the pace is 12 minutes
Here is the complete question:
Amal can run 1\8 mile in 1 1\2 minutes. If Amal can maintain that pace, how long will it take him to run 1 mile.
Learn more on Calculating time here: https://brainly.com/question/17146782
#SPJ1
I need help with these problems.
Answer:
1. 4
2. 65
3. 4
4. 53
5. 14
Answer:
1.: 4 songs
2.: 65 dollars
3.: 4 cookies
4.: 53 cards
5.: 14 degrees
Step-by-step explanation:
1.: Split 40 songs evenly between 10 days. 40 divided by 10 equals 4.
2.: 160, the needed amount, minus 95, the amount already had, equals 65. 95+65=160.
3.: Split 32 cookies evenly between 8 people. 32 divided by 8 is 4.
4.: 200-147=53, so 147+53=200.
5.: -11-14=-25. Subtracting from a negative increases its absolute value, but it remains negative.
F = G
G
(m₁m₂)
d²
where F is the force between two objects of masses
m₁ and m₂, G is the gravitational constant, and dis
the distance between the two objects. Solve the
formula for m₁.
Answer:
The formula for mass m1 will be as M1 = Fr²/GM2.
What is Newton law of gravitation ?
According to newton's law , force between mass m₁ and m₂ at distance x is given by the following expression is;
F = G m₁m₂ / x²
Where F is the force between two masses m1 and m2 G is the gravitational constant and x is the distance between the two objects.
For Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2
To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows:
F = (G M1M2)/r²
By cross product;
Fr² = G M1M2
by dividing through by G M2; we have;
M1 = Fr²/GM2
The formula for mass m1 will be as M1 = Fr²/GM2.
Each unit on the map's grid represents 30 meters. Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb. How many units would need to be added to the x-axis to include Dra Abul Naga?
If each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of distance from Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.
Given that each unit on the map's grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb.
We are required to find the number of units to be added to x axis that are needed to include Dra Abul Naga.
1 unit=30 meters
Distance in east lie on x axis=1900
Number of units to be added on x axis=1900/30
=63.33
It is equal to 64 units approximately.
Hence if each unit on the map grid represents 30 meters and Kampp 150 is in Dra Abul Naga, which is about 1,900 meters east and 250 meters south of Tutankhamen's tomb,then we have to add approximately 64 units to the x axis to include Dra Abul Naga.
Learn more about distance at https://brainly.com/question/17273444
#SPJ1
To include Dra Abul Naga, 63.33 units and 8.33 units must be added to the x-axis and y-axis, respectively.
A single unit on the map;'s grid represents 30 meters.
Kampp 150 in Dra Abul is 1900 meters east and 250 meters south of Tutankhamun's tomb.
The distance in the east or x-axis is 1900 meters.
Therefore, the number of units to be added to the x-axis will be:
= 1900 meter ÷ 30 meters
= 63.33 units
Similarly, the distance on the y-axis is 250 meters.
Therefore, the number of units that are needed to be added will be:
= 250 meter / 30 meters
= 8.33 units
Hence, the units that need to be added to the x-axis and y-axis to include Dra Abul Naga is 63.33 units and 8.33 units respectively.
Learn more about units here:
https://brainly.com/question/24873877
#SPJ1
Find the midpoint of the segment with the following endpoints.
(5, 5) and (10, 1)
Answer:
(7.5,3)
Step-by-step explanation:
( (x_1 + x_2)/2, (y_1 + y_2)/2 ) <--Midpoint formula
(5,5) and (10,1) are where you take the x and y values from. The x_1 and y_1 values come from (5,5) and x_2 and y_2 from (10,1).
this gives you ( (5+10)/2, (5+1)/2 )
=( 15/2, 6/2 )
=(15/2, 3)
= or (7.5, 3)
Both bold answers equal the same thing, just depends on if your teacher is asking for it in mixed number form or decimal form.
By the way, I realize it's confusing so the _ is just to show that the following number would be subscript (brainly won't let me show it, so I suggest searching it online if you are still confused..)
Hope this helps!