The standard deviation of the data to the nearest hundredth is 173.01.
What is standard deviation?Standard deviation is used to determine how the values in a group differs from the mean of the values in the group. It is a measure of variation.
In order to determine the standard deviation, take the following steps:
Determine the mean of the observation: 185
Determine the difference between each value and the mean and then square the result:
Determine the mean of the sum of the squared differences and then find the square root of the mean:
Following these steps, the standard deviation is 173.01
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Ratio 6 to 5 of 20000
Answer:
24000
Step-by-step explanation:
6/5×20000
=24000
HELPPPPPPP
What are the solutions to the system of equations graphed below?
A. (2,0) and (0,-4)
B. (-2,0) and (2,0)
C. (0,-2) and (0,2)
D. (0,2) and (-4,0)
Answer:
It's A. (2, 0) and (0, -4)
2015-{2015÷5(x-5)÷5}=2014
Answer:
x=80.8
Step-by-step explanation:
follow BODMAS
2015-(2015÷5(x-5)÷5)=2014
2015-(2015÷5x-25÷5)=2014
2015-(405/x-5)=2014
2015-(405-5x)=2014
2015-405+5x=2014
1610+5x=2014
5x=2014-1610
(5x=404)1/5
x=80.8
What is the point of intersection of the lines represented by these equations
Jy = -2x + 2
y = x - 4
A. (-2, 2)
B. (1, -3)
c. (2,-2)
D. (3,-4)
To find the point of intersection of two lines, we can use substitution to find the x and y coordinates.
Solving the QuestionWe're given:
[tex]y = -2x + 2[/tex][tex]y = x - 4[/tex]Use substitution to find x:
[tex]-2x + 2=x-4\\-2x=x-6\\-3x=-6\\x=2[/tex]
Use substitution to find y:
[tex]y=x-4\\y=2-4\\y=-2[/tex]
AnswerThe point of intersection is (2,-2).
The sides, s, of the base of this right square pyramid are 5 inches, and the slant height, l, is 12 inches. What is the surface area of this pyramid?
no pressure! thanks to those who try to help
Answer:
145 square inches
Step-by-step explanation:
The surface area of a square pyramid can be found using the formula ...
A = s(s +2h) . . . . . where s is the base side length, and h is the slant height
__
applicationUsing this formula with s=5 inches and h=12 inches, we find the area to be ...
A = (5 in)(5 in +2(12 in)) = (5 in)(29 in) = 145 in²
The area of the pyramid is 145 square inches.
_____
Additional comment
This formula comes from the sum of the areas of the square base (s²) and the four triangular faces (4 × 1/2sh). That sum is ...
A = s² +2sh = s(s +2h)
three-quarters of a pile of bricks were used for a certain project. when two thirds of the reminder had been used, 50 bricks were left. how many bricks were there in the original pile?
Answer:
600
Step-by-step explanation:
Let's consider this question using algebra.
Imagine the number of bricks in the original pile is [tex]x[/tex].
We are told that [tex]\frac{3}{4}[/tex] of the bricks are used for a project, meaning that [tex]\frac{3}{4} x[/tex] has been used, leaving us with [tex]\frac{1}{4}x[/tex] as our remainder.
Then, we are told that [tex]\frac{2}{3}[/tex] of the remainder are used to leave us with 50 bricks. This means that [tex]\frac{1}{3}[/tex] of the remainder is left, and this is equal to 50 bricks. This means that the remainder's original amount is equal to 150, because we are told that [tex]\frac{1}{3}[/tex] of the remainder is equal to 50.
So, we know that the remainder is 150, and we also know that the remainder is [tex]\frac{1}{4} x[/tex]. Let's now use these to form an equation.
[tex]\frac{1}{4} x = 150[/tex]
Because we know that a quarter of the original amount of bricks is equal to 150, we can multiply both sides of the equation by 4 to get the original amount of bricks in the pile.
[tex]x = 150 * 4 = 600[/tex]
So, there were 600 bricks in the original pile.
Explain the steps you would take to find the quotient of
1
3
÷ 4
3
El perímetro de un rectángulo es de 72 cm. Halla el área del rectángulo si su largo es el 25% más grande que su ancho
Answer:
Las dimensiones del rectángulo son:
ancho = 16 cm
largo = 20 cm
Step-by-step explanation:
Consideración:
La formula del perímetro de un rectángulo es:
perímetro = 2(largo + ancho)
25% más grande = 125% = 125/100 = 1.25
Planteamiento:
2(a+b) = 72
b = 1.25a
a = longitud del ancho
b = longitud del largo
Desarrollo:
de la primer ecuación del planteamiento:
a+b = 72/2
a+b = 36
b = 36 - a Ec. 3
Igualando la segunda ecuación del planteamiento con la Ec. 3:
1.25a = 36 - a
1.25a + a = 36
2.25 a = 36
a = 36/2.25
a = 16
de la Ec. 3:
b = 36 - a
b = 36 - 16
b = 20
Comprobación:
de la primera ecuación del planteamiento:
2(a+b) = 72
2(16+20) = 72
2*36 = 72
Caitlyn and Steve are planning their wedding reception and must decide between two catering halls. The first site, A Wedding Space, rents for $900 for one day and charges $50 per person for dinner. The second venue, A Wedding Place, costs $450 to rent for one day and charges $75 per person for the same dinner. Solve the equation 900+50x=450+75x to determine how many guests they can invite so that the cost they pay will be the same at both wedding catering halls.
The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
900+50x=450+75x
To solve;
900 - 450 = -50x +75x
450 = 25x
x = 450 /25
x = 18
The guest they can invite so that the cost they pay will be the same at both wedding catering halls is 18.
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pls i need to pass this class i wna graduate
Answer:
[tex]\boxed{\sf x= -29.5}[/tex]
Step-by-step explanation:
[tex]\sf \sqrt{-2x+5}-3=5[/tex]
[tex]\sf \sqrt{-2x+5}=8[/tex]
[tex]\sf -2x+5=64[/tex]
[tex]\sf -2x=59[/tex]
[tex]\sf \cfrac{-2x}{-2}=\cfrac{59}{-2}[/tex]
Therefore, x = -29.5.
What is the slope-intercept equation for the line below?
10
(0, 2)
(5, 4)
Answer:slope is 0.4
Step-by-step explanation:
y2-y1 divided by x2-x1
2-4/0-5=0.4
Which numbers are irrational???
Answer:
√2/4, √3/4, and √5/4.
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Help please and thank you!! :)
Answer:
33 elements
Step-by-step explanation:
Set A has 59 elements. Set A and Set B share 26 elements.
This means that 26 out of the 59 elements in Set A are also in set B.
Therefore, to find the number of elements not in Set B, you need to subtract the common elements from the total amount of elements in Set A.
59 (total in Set A) - 26 (common in Set A) = 33 (unshared elements).
Given the line y=10x+3, determine the slope of a line parallel to the given line. Typ the number answer only!
Answer: 10
Step-by-step explanation:
The slope of the given line is 10, and since parallel lines have equivalent slopes, the slope of a line parallel to the given line is also 10
Consider the given density curve.
A curve starts at (2, 0), curves up to (10, question mark), and then curves down to (18, 0).
Suppose that the mean value is 10. What is the best approximation for the median?
9
9.5
10
11
Picture posted below…
Answer:
11 is best answer for it ....,..........
Answer:
10
Step-by-step explanation:
If BC is 1
CD is 2
DA is 3
AB is 4,
what is EF?
The approximate length of the side EF will be 1 unit.
The complete figure is attached below.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The figure is given below.
The length of EF will be
EF = CF – CE
Then the value of CF will be
CF = BC × cos 30
CF = 2 × 0.866
CF = 1.732
Then the value of CE will be
CE = BC × cos 42
CE = 1 × 0.743
CE = 0.743
Then we have
EF = 1.732 – 0.743
EF = 0.989 ≈ 1
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To purchase 13700 worth of restaurant equipment for her business Maria made a down payment of 1500 and took out a business loan for the rest after 3 years of paying monthly payments of 371.16 she finally paid off the loan
What was the total amount Maria ended up paying for the equipment
How much internet did Maria pay on the loan
The total amount Maria ended up paying for the equipment will be $14,861.76. And The interest of Maria on the loan will be 8.48%.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
To purchase 13700 worth of restaurant equipment for her business.
Maria made a down payment of 1500 and took out a business loan for the rest, after 3 years of paying monthly payments of 371.16 she finally paid off the loan.
The total amount Maria ended up paying for the equipment will be
Total amount = 371.16 × 3 × 12 + 1500
Total amount = $14,861.76
The interest of Maria on the loan will be
Interset = [(14861.76 – 13700) / 13700] x 100
Interset = 8.48%
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Solve the following compound inequality: x greater-than-or-equal-to negative 1 or x less-than 2.
a.
Negative 1 less-than-or-equal-to x less-than 2
c.
x greater-than-or-equal-to negative 1
b.
no solution
d.
all real numbers
Answer:
x greater than equal to (-1)
x less than 2
all no. greater than -1 = -1,1, 0 , 1 ,2 ......
no. less than2 = 1, 0, -1,.......
-1,0, 1
Option Cfind the slope for the given equation: - 3x-5y=11
Answer:
K=-3/5
Step-by-step explanation:
y= -3x/5 - 11/5
Can someone help me with this?
Answer:
A
Step-by-step explanation:
In this case you have to show that 1 + 2 = 180
This way when you show that 2 + 3 = 180, that proves 1 & 3 are congruent.
Answer:
A. 2. ∡1 is supplementary to ∡2 (linear pair theorem)
Step-by-step explanation:
Given the following proof so far, we have:
1. Line a and line b intersect => given
2. ? => ?
3. ∡3 is supplementary to ∡2 => linear pair theorem
4. ∡1 ≅ ∡3 => congruent supplements theorem
Now let's take a look at the reasoning for statement 4, which says that angle 1 and 3 are congruent due to congruent supplements theorem.
In this theorem, if 2 angles are supplementary (add up to 180 degrees) to the same angle, it means those 2 angles are congruent.
Why does this work?
________________________________________________________
Let's say x + y = 180, and z + y = 180
By transitivity (if a = b and b =c, then a=c), x + y is equal to z + y
x + y = z + y
Subtract y from both sides
x = z
________________________________________________________
Statement 3 says ∡3 is supplementary to ∡2, and because of congruent supplements theorem being our last reason (where ∡1 and ∡3 are congruent), we need to make statement 2 also have ∡1 being supplementary to ∡2, (∡2 is like y in the example above - it's the angle that ∡1 and ∡3 are both supplementary to).
This will eliminate choices B (which has ∡1, but also ∡4 which isn't necessary), C ( ∡which mentions nothing about ∡1), and D (which also doesn't mention anything about ∡1, and which also isn't necessary as we have statement 3 essentially saying the same thing), leaving A as the correct answer.
look at the picture
Question 1 of 10
Solve the rational equation:
2x/ x - 3 = 3x/ x - 2
[Question 10]
Two banks calculate the yearly interest they pay customers.
Westminster Bank
4% of the total that you invest
For example: Invest £700
Interest = 4% of £700.
Ashna has £500 to invest for one year.
Work out which bank will pay her more interest.
State how much extra interest she will earn.
District Bank
(4 marks]
1% of the first £300 that you invest and
6% of the amounts over £300 that you invest.
For example: Invest £700
Interest 1% of £300 + 6% of £400,
Answer:
yes
Step-by-step explanation:
because bank
Here is the histogram of a data distribution. All class widths are
What is the median of the distribution?
The median of the distribution is 4.
What is the median?
A histogram is used to represent data graphically. The histogram is made up of rectangles whose area is equal to the frequency of the data and whose width is equal to the class interval.
The median is the number at the center of the data set.
Arranging the numbers in the histogram in ascending order is: 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 7, 8, 9, 10
Total numbers = 21 Median = 1/2 x (n + 1)1/2 x 22 = 11th number 4
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Simplify 1-4 can you show how you got the answer on a sheet of paper. Really need help
Answer:
first 1*3+1-3*4+1
then it is in fraction
the answer is -5
Jessica and Josh are selling Entertainment Books to raise money for the art room at their school. One book sells for $15. Jessica received the prize for selling the most books in the school. Jessica sold 15 times more books than Josh. Together they sold 256 books. How many did each one of them sell?
Jessica sells = 240 books,
Josh sells = 16 books.
Given:-The price of one book is = $15
Jessica sold 15 times more books than Josh.
In total, they have sold 256 books.
Solution:-We can easily find the answer using variables.
Let,
Josh sold a total of x books whereas Jessica sold a total number of 15x books.
together they sold 16x books.
So we can form the equation
16x= 256
by solving this equation we will get x=16
So, Josh sold 16 books and Jessica sold 16×15=240 books in total.
Answer:
Jessica=240
Josh=15
Step-by-step explanation:
Which expression is modeled by this arrangement of tiles?
40 positive tiles are broken up into 10 groups of 4 positive tiles.
The answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
The question is incomplete.
The complete question is:
Which expression is modeled by this arrangement of tiles? 40 positive tiles are broken up into 10 groups of 4 positive tiles.
40/(-10) 40/10 40/40 40/(-40)Please refer to the attached picture.
We have a rectangular shape as shown in the picture.
Total number of square units = 40
Each row has 10 units cube.
Each cube = 40/10
Thus, the answer is 40/10 because the total number of square units is 40 option second 40/10 is correct.
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HELP WILL GIVE 20 points!
Each unit on the graph is equal to one block how many blocks does Ben need to walk from his house to reach the museum? HELP
Answer:
D.
Step-by-step explanation:
He has to walk down 3 blocks and right 10
Determine whether the function is even, odd, or neither. Then determine whether the function's graph is symmetric with respect to the y-axis, the origin, or neither.
f(x)=x³ - 2x
Answer: The function is odd and symmetric with respect to the origin.
Step-by-step explanation:
A function is even if f(x)=f(-x), and odd if f(x)=-f(-x). If a function satisfies neither of these, it is neither even nor odd.
[tex]f(x)=x^{3}-2x\\\\f(-x)=(-x)^{3}-2(-x)=-x^{3}+2x=-f(x)[/tex]
Therefore, the function is odd, and thus the function is symmetric about the origin
Suppose that in the country of Workanda, the population is 330 million, and 170 million people are working (have a job). If 70 million people are ineligible to work and the Labor Force Participation Rate is 70%, what is the unemployment rate in Workanda? [Use two significant digits for your answer]. A BIU - PE III Suppose that in the country of Workanda , the population is 330 million , and 170 million people are working ( have a job ) . If 70 million people are ineligible to work and the Labor Force Participation Rate is 70 % , what is the unemployment rate in Workanda ? [ Use two significant digits for your answer ] .
Answer:
30%
Step-by-step explanation:
The unemployment rate is 30%
