Answer:
Kindly check explanation
Step-by-step explanation:
Sample 1 :
Mean = (79.2 + 78.8 + 80 + 78.4 + 81) / 5 = 79.48
Range = 81 - 78.4 = 2.6
Sample 2 :
Mean = (80.5 + 78.7 + 81 + 80.4 + 80.1) / 5 = 80.14
Range = 81 - 78.7 = 2.3
Sample 3 :
Mean = (79.6 + 79.6 + 80.4 + 80.3 + 80.8) / 5 = 80.14
Range = 80.8 - 79.6 = 1.2
Sample 4 :
Mean =(78.9 + 79.4 + 79.7 + 79.4 + 80.6)/5 = 79.6
Range = 80.6 - 78.9 = 1.7
Sample 5 :
Mean = (80.5 + 79.6 + 80.4 + 80.8 + 78.8)/5 = 80.02
Range = 80.8 - 78.8 = 2
Sample 6 :
Mean =(79.7 + 80.6 + 80.5 + 80 + 81.1)/5 = 80.38
Range = 81.1 - 79.7 = 1.4
Xbar = mean of the means
Xbar = (79.48+80.14+80.14+79.6+80.02+80.38) / 6 = 79.96
Rbar = Mean of the sample ranges
Rbar = (2.6 + 2.3 + 1.2 + 1.7 + 2 + 1.4) / 6 = 1.87
n =5 ;D4 = 2.11 ; D3 = 0
From table, D4 = 2.11 ; D3 = 0
Range chart :
Upper Control limit, UCL = D4 * Rbar ; 2.11*1.87 = 3.9457 = 3.95
Lower Control limit, LCL = D3 * Rbar ; 0*1.87 = 0
Mean chart :
Xbar ± A2 * Rbar
From the table :
n = 5 ; A2 = 0.58
Lower control limit(LCL) = Xbar - A2*Rbar
LCL = 79.96 - (0.58*1.87) = 78.8754 = 78.88
Upper Control Limit (UCL) = Xbar + A2*Rbar
UCL = 79.96 + (0.58*1.87) = 81.0446 = 81.04
(78.88 ; 81.04)
The value of Each sample mean falls within the mean interval, Hence, We can conclude that process is on control.
The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?
In a class of 30 students, 6 have a brother and 12 have a sister. There are 14 students
who do not have any siblings. What is the probability that a student chosen randomly
from the class has a brother and a sister?
HELPPPPPP
m∠1 = (4x + 9)° and m∠2 = (x − 14)° in the given figure. Find x.
An image of two parallel lines and two transversals.
Question 13 options:
7
19
8
37
Answer:
[tex]x = 19[/tex]
Step-by-step explanation:
Given
[tex]\angle 1 = 4x + 9[/tex]
[tex]\angle 2 = x - 14[/tex]
See attachment
Required
Find x
From the attached image, we have:
[tex]\angle 1 +\angle 2 = 90[/tex]
Because the sum of both angle corresponds to the right angle between n and m
So, we have:
[tex]4x + 9 + x - 14 = 90[/tex]
Collect like terms
[tex]4x + x = 90 - 9 +14[/tex]
[tex]5x = 95[/tex]
Divide by 5
[tex]x = 95/5[/tex]
[tex]x = 19[/tex]
The sum of two numbers is 210 and their difference is 30. What are the two numbers?
Answer:
120 and 90
Step-by-step explanation:
let one number be x and the other y
x + y = 210 (sum = 210)
x - y = 30 (difference = 30)
add the two equations together
2x = 240
divide both sides by 2 to isolate x
x = 120
plug into 1st equation
120 + y = 210
subtract 120 from both sides
y = 90
We take the 2 numbers as 'x' and 'x-30' in order to find those numbers
We plug the values into the given equation
[tex]x + x - 30 = 210\\2x - 30 = 210\\\\2x = 240\\x = \frac{240}{2} \\x = 120\\x - 30 = 120 - 30 = 90\\[/tex]
[tex]120 - 90 = 30[/tex]
Hence , the two numbers are 120 and 90
Sara had 222 dollars to spend on 9 books after buying then she had 15 dollars how much did each book cost
Answer:
Each book cost 222 - 15 = 207 / 9 = 22.88 dollars.
identify the part of following expression 4x-2y + 6/ 2x
Coefficients:
Constants:
Variable Terms:
Like Terms:
identification of the expression 4x- 2y + 6 = 2x is
Coefficient: 4, -2, 2Constant: 6Variable term: 4x, -2yLike terms: 4x and 2xWhat is an expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, a linear expression 4x-2y + 6 = 2x
Coefficient:
Coefficients are the numbers by which the variables in an equation are multiplied
Thus, the Coefficient terms for this equation = 4x, -2y, 2x
Constants:
the constant is the part of the expression that does not vary with the value of x and y.
Thus, constant terms for this equation = 6
variable terms:
These are the terms that vary at the different values of x and y.
Thus, variable terms for this equation = 4x, -2y
Like terms:
Terms that have identical variable parts (same variable(s) and same exponent(s))
thus, Like terms for this expression = 4x, 2x
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What is the following difference?
2ab(√/192ab²)-5[√/81a¹b³
O-3ab √3ab²
O 18ab² (2/3a)-45a2b² (2√3b)
0-7ab(2√3ab²)
O
8ab(√3ab²-15ab² (2√3ab)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
what are expressions ?In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.
given
Rewrite the above expression as:
[tex]2ab\sqrt[3]{3*4^{3} *ab^{2} } - 5\sqrt[3]{3*3^{3} * a^{4}b^{5} }[/tex]
Evaluate the cube roots
[tex]2ab {4\sqrt[3]{3ab^{2} } } - 5 {3ab\sqrt[3]{3ab^{2} }[/tex]
Evaluate the differences
-7ab(2√3ab²)
Expressions with equal values are considered equivalent expressions. the difference is 2ab(√/192ab²)-5[√/81a¹b³ is -7ab(2√3ab²)
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What is 20 minus 2 equal?
Answer:
18
Step-by-step explanation:
20-2=18
please brainiest
its 18
------------------
bye! <3
At a local shop Sissi spends one third of her money on milk and two fifths of her money on bread and a one ninth on a lolipop
(A) what fraction of Sissi's money did she spend in the local shop?
(B) what fraction of Sissi's money does she have left?
Answer:
the answer for a is 38 over 45 that is the total fraction of her money that she spent in the local shop for b the answer is 7/45
This came about as for a when we added the total number of expenditures that CeCe had made that is 1/3 + 2/5 + 1/9 and that is 38/45 so that is the fraction of money that she said that she spent in the local shop.
as for b it said what fraction of sissies money does she have left and we know that the total fraction is 38 over 45 and we are going to subtract it from 1.
and that will give us 7/45
A cone has a radius of 7cm and a height of 12 cm. Find the volume
Answer:
615.75m cubed
Step-by-step explanation:
type an (x,y) ordered pair to put a point on this line.
The ordered pair (x, y) for the given line can be obtained from the graph as (-4, 1).
What is the equation for a straight line?A straight line can be written in the form of an equation as, y = mx + c.
Two straight lines intersect each other only at one point.
When two straight lines are parallel to each other the angle between them is zero.
The graph of the line is given.
In order to find the coordinate of a point do as follows,
Draw a perpendicular line from any point on the line to the x-axis.
The intersection of this line with the x-axis will give the x-coordinate.
Similarly, find the y-coordinate by drawing a perpendicular line to the y-axis.
Applying the above procedure, a point is obtained as (-4, 1).
Hence, the ordered pair for the line shown in the graph is (-4, 1).
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The perimeter of a rectangle is twice the sum of its lenght and its width. The perimeter is 34 meters and its lenght is 2 meters more than twice its width.
Answer:
The width of the rectangle is 5 meters, while the length of the rectangle is 12 meters.
Step-by-step explanation:
Given that the perimeter of a rectangle is twice the sum of its lenght and its width, and the perimeter is 34 meters and its lenght is 2 meters more than twice its width, to determine the length and width of the rectangle the following calculation must be done:
(2X + 2 + X) x 2 = 34
(3X + 2) x 2 = 34
6X + 4 = 34
6X = 34 - 4
X = 30/6
X = 5
(2x5 + 2 + 5) x 2 = 34
(10 + 2 + 5) x 2 = 34
17 x 2 = 34
34 = 34
Therefore, the width of the rectangle is 5 meters, while the length of the rectangle is 12 meters.
Simplify the expression
-4|2.5-6|
Answer: -14
Step-by-step explanation:
Find the 27th term of a sequence where the first term is – 7
and the common difference is 7.
Match the parametric equations with the correct graph.
x=t cos (t), y=t, z=t sin(t), t ≥ 0
The given parametric equation represents the graph mentioned in Option A.
What is the parametric equation?A parametric equation is defined as a kind of equation that inherit an independent variable called a parameter, and where dependent variables are defined as continuous functions of the parameter.
here,
For equation, x = t cos (t), y = t, z = t sin(t), t ≥ 0.
Since,
x² + y² = t²cos²(t) + t² sin²t
x² + y² = t²
x² + y² = z²
Here, the x-z cross-section of the curve is a circle. But as t accumulates, the radius of the circle also advances in the y direction, and those circular cross-sections extend as the value of the parameter t increase.
The curve will draft as circles in x-z planes while moving towards y direction and also the radius of those circular cross sections increases at the same rate as its advancement towards y direction.
Thus, the given parametric equation represents the graph mentioned in Option A.
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This is worth half of my grade
Answer:
[tex]y = 8 - 8\sin(2x) [/tex]
help! what is
737 is it
natural number
real number
rational number
irrational number
integer
A diver made 6 dives in 30 days. At this rate how many dives did the diver make in 50 days?
HELP IM GIVING BRAINLIEST!!!! :))
any help? please make sure it's correct thank you
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 6
Step-by-step explanation:
The slope will be perpendicular to equation through A and B because of the 90 degree angle at B.
Lines that are perpendicular have opposite reciprocal slopes.
The slope of the line we know is 2 (The slope is the number before the x). The opposite reciprocal is -[tex]\frac{1}{2}[/tex].
Now that we have the slope we need a point on the line. They give us that point at (0,6) We will use the y value of 6 and the x value of 0 from the point given to find the y-intercept.
slope (m) = - [tex]\frac{1}{2}[/tex]
y = 6
x = 0
We will substitute all of this information into y = mx + b to solve for b (y-intercept)
y = mx + b
6 = - [tex]\frac{1}{2}[/tex] (0) + b
6 = b
Now that we have the slope (- [tex]\frac{1}{2}[/tex]) and the y-intercept (6) we can write the equation
y = - [tex]\frac{1}{2}[/tex] x + 6
Answer:
y = - [tex]\frac{1}{2}[/tex] x + 6
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c m is the slope and c the y- intercept )
y = 2x + 1 ← is in slope- intercept form
with slope m = 2
BC is perpendicular to AB
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{BC}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
the line BC has point C at (0, 6 ) ⇒ c = 6
y = - [tex]\frac{1}{2}[/tex] x + 6 ← equation of line BC
Beverly Hobbs earns $683 a week she is single and claims 2 allowances what amount is withheld weekly for federal income tax
Therefore, $52.25 is the answer to the inquiry about what percentage of a person's income is withheld each week for federal income tax.
What is percentage?A % is a number that indicates how many out of 100 it is, and it can also be expressed as a decimal or a fraction. Put the percentage value in the numerator and 100 in the denominator to convert a percentage to a fraction.
Here,
The Federal Insurance Contribution Act is the American legislative framework in use here, and it contains the criteria and guidelines that are utilized to determine payroll taxes on an employee's paychecks. The social security and Medicare programs are funded through taxation, which is paid by both employers and employees.
The amount of federal income tax deducted from the weekly cheque is:
6.2% from Social Security plus 1.45% from Medicare.
= 7.5 percent of the weekly gross salary.
The amount of federal income tax withheld each week from Beverly Hibbs's $683.00 weekly salary is:
= 0.0765 × 683
= $52.25
Therefore, $52.25 is the answer to the inquiry about what proportion of a person's income is withheld each week for federal income tax.
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Solve the equation.
3(x−9)=30
Answer:
x = 19
Step-by-step explanation:
3(x - 9) = 30
Divide both sides by 3 to isolate the binomial.
x - 9 = 10
Add 9 to both sides to isolate x.
x = 19
Check your answer by plugging x = 19 back into the equation.
3(x - 9) = 30
3(19 - 9) = 30
Subtract.
3(10) = 30
Multiply.
30 = 30
Your answer is correct.
Hope this helps!
Answer:
x = 19
Step-by-step explanation:
First, we must distribute 3(x-9) = 30
[tex]3x - 27 = 30[/tex]
Now, that we've distributed this equation, we can proceed.
Secondly, since there is a subtraction sign in front of 27, we must do the opposite, addition.
Add 27 to 27 and 30:
[tex]3x - 27 = 30[/tex]
[tex]-27 + 27 = 0[/tex]
[tex]30 + 27 = 57[/tex]
Furthermore, -27 + 27 is 0, so it cancels itself out. Also, since we added 30 and 27 and got 57, replace 30 with 57.
[tex]3x = 57[/tex]
Lastly, divide 57 by the number in front of coefficient, 3.
[tex]57/3=19[/tex]
Therefore, [tex]x=19.[/tex]
**TO MAKE THIS MORE UNDERSTANDING, THIS IS HOW YOUR EQUATION SHOULD LOOK WHILE SOLVING**
Helppp can’t figure this one out
Answer:
x = 5.9
Step-by-step explanation:
Reference angle = 26°
Opposite = x
Adjacent = 12
Apply TO A:
Tan 26 = Opp/Adj
Substitute
Tan 26 = x/12
Multiply both sides by 12
12*Tan 26 = x
5.85279107 = x
x = 5.9 (nearest tenth)
Approximate the solutions to this system. y=3x^2+x-6
y=x-4
Round your answer to the nearest hundredth.
Convert the polar equation to rectangular form [tex]r=5cot(\theta)csc(\theta\))[/tex]
Answer:
[tex]\displaystyle x=\frac{1}{5}y^2[/tex]
Step-by-step explanation:
[tex]\displaystyle r=5\cot(\theta)\csc(\theta)\\\\r=5\biggr(\frac{\cos(\theta)}{\sin(\theta)}\biggr)\biggr(\frac{1}{\sin(\theta)}\biggr)\\\\r=\frac{5\cos(\theta)}{\sin^2(\theta)}\\\\r^2=\frac{5r\cos(\theta)}{\sin^2\theta}\\\\r^2\sin^2(\theta)=5r\cos(\theta)\\\\(r\sin(\theta))^2=5x\\\\y^2=5x\\\\x=\frac{1}{5}y^2[/tex]
PLEASE HELP ITS DUE TOMORROW maths
Answer:
Average speed: 698 kmh^-1
Step-by-step explanation:
In 1440 earth days, there are 34560 hours (1440 × 24)
Solving for the average speed, km/h
[tex]\frac{24~130000km}{3450hr}[/tex] ≈ [tex]698.21 km[/tex]
so, the average speed is [tex]698 kmh^{-1}[/tex]
[tex]---------[/tex]
hope it helps..
have a great day!!
mr.jim would like to plant carrots all around base of the fence surrounding his square feet. the area of his garden is 100 sq feet. in feet what is tje perimeter
Which of the following equations expresses the
relationship between x and y in the table below?
A y = 10x + 1
B. y = 2x - 1
C. y = -x + 45
D. y = -3x + 53
E. y = -7x + 81
Answer:
D
Step-by-step explanation:
ummm.....
Lena sells two types of fidget toys. The price for each fidget toy A is x and the price for each Fidget B is y. Write an equation that will let her earn a profit of $3500 if she sells 20 of Fidget A and 60 of Fidget B
Answer:
3500 = 20x + 60y
Step-by-step explanation:
Its just the answer
given: p is the midpoint of AN prove: AG=NI (direct proof)
As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.
what is triangle ?Given that it has three sides and three vertices, a triangle is a polygon. It is one of the fundamental geometric shapes. Triangle ABC is the term used to refer to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon because it has three sides and three corners. The points at which the three sides of the triangle converge are referred to as its corners. Three triangle angles can be multiplied to get 180 degrees.
given
p is the midpoint of GI
GP = PI , PN = AP ( as mid point )
∠APG = ∠IPN ( as vertical opp. angle )
∠A = ∠N ( given )
so by ASA congruency ΔAPG = ΔIPN
As a result, AG = NI according to the ASA congruency, where p is the midpoint between AN and AG=NI.
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in last weeks volleyball game Ashley served 15 times and made 2 errors. What was her serving percentage? (what percent did she serve it in?