The statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
What is statistics?Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.
In the given statements
There are no outliers in this distribution.
The shape of the boxplot is fairly symmetric.
The range of the distribution is around 60 cm.
The center of the distribution is around 180 cm.
The statement "The range of the distribution is around 60 cm" is true.
The range is the spread of your data from the lowest to the highest value in the distribution.
In the given graph
Range=200-140
=60
So it is true.
The center of the distribution is around 180 cm is also true.
Hence the statements The range of the distribution is around 60 cm and
the center of the distribution is around 180 cm are true.
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I don´t quite understand this Question 5% of 40
Answer:
5% of 40 = 20
Step-by-step explanation:
To find 5% of 40, you can turn the 5% to 0.5, and the "of" means multiplication.
So, in turn you would have:
0.5 x 40 = 20
f(x) = 4x3 + 6x2 – 3x – 4g(x) = 4x – 3Find (f - 9)(x).A. (f - g)(x) = 4x3 + 6x2 + x - 1B. (f - g)(x) = 4.23 + 6x2 – 7x – 7c. (f - g)(x) = 4x3 + 6x2 + x - 7O D. (f - g)(x) = 4x3 + 6x2 – 7x - 1SUBMIT
Step1:
You are to subtract g(x) from f(x)
Step2:
Simplify and collect like terms
therefore,
[tex]\begin{gathered} \\ (f-g)x=4x^3+6x^2\text{ - 3x - 4 - (4x - 3)} \\ =4x^3+6x^2\text{ - 3x - 4 - 4x + 3} \\ \text{Next add like terms} \\ =4x^3+6x^2\text{ -7x - 1} \end{gathered}[/tex]Option D is the correct answer
Can somebody help me with number 11?
The unknown angles are as follows:
m∠EFH = 80°m∠EFG = 160°The value of ST in the line segment is 22 units.
How to find angles and mid points?An angle bisector is a bisector that bisect an angles into two equal parts.
Therefore, EF is the angle bisector of ∠EFG.
The bisector divides the ∠EFG equally into ∠EFH and ∠HFG.
Hence,
∠EFH = ∠HFG
m∠HFG = 80°
m∠EFH = 80°
m∠EFG = 80 + 80
m∠EFG = 160°
12.
Let's find ST in the line segment.
PT = 40
QS = 12
PQ = QR = RS = x
QR + RS = QS
2x = 12
x = 12 / 2
x = 6
Therefore,
PQ = QR = RS = 6 units
PS = PQ + QR + RS
PS = 6 + 6 + 6
PS = 18 units
Hence,
ST = PT - PS
ST = 40 - 18
ST = 22 units
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Evelyn needs to order some new supplies for the restaurant where she works. The restaurant needs at least 769 glasses. There are currently 205 glasses. If each set on sale contains 12 glasses, write and solve an inequality which can be used to determine xx, the number of sets of glasses Evelyn could buy for the restaurant to have enough glasses.
Answer: 769 bottles ≤ 12x + 205, or 564 bottles ≤ 12x
Step-by-step explanation:
➜ They need at least 769 bottles, so our inequality will use either ≤ or ≥ depending on how we set it up.
➜ They currently have 205 bottles, so we will use addition to show there are some glasses currently owned
➜ If each set contains 12 glasses, we will multiply x, the number of sets bought, by 12
With these details, we will write an inequality.
769 bottles ≤ 12x + 205
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8. 6w — 8z = 16
3w — 4z = 8
Substation
Let the two equations be 6w — 8z = 16 and 3w — 4z = 8
Then the equation be
[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]
To estimate the value of w, we get
[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]
simplifying the above equation, we get
[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]
[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]
We insert the solution into one of the initial equations of our system of equations We get a system of equations:
[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]
Therefore, the value of
[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]
If the two equations be 6w — 8z = 16 and 3w — 4z = 8 then the system of equations has infinitely many solutions.
How to estimate the value of w?Let the two equations be 6w — 8z = 16 and 3w — 4z = 8
Then the equation be
[tex]$6 \cdot w-(8 \cdot z)-16=0$[/tex]
To estimate the value of w, we get
[tex]$6 \cdot w=-(-8 \cdot z-16)=6$[/tex]
simplifying the above equation, we get
[tex]$w=\frac{(-(-8 \cdot z-16))}{6}$[/tex]
[tex]$w=\frac{(16-(-8 \cdot z))}{6}$[/tex]
We insert the solution into one of the initial equations of our system of equations We get a system of equations:
[tex]$3 \cdot\left(\frac{(16-(-8 \cdot z))}{6}\right)-(4 \cdot z)-8=0 \\[/tex]
Therefore, the value of
[tex]$w=\frac{(16-(-8 \cdot z))}{6}[/tex]
[tex]$&\frac{(3 \cdot(8 \cdot z+16))}{6}-4 \cdot z-8=0 \\[/tex]
simplifying the above equation, we get
8 - 8 = 0
0 = 0
The system of equations has infinitely many solutions.
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5xº35°60°solve for x
In every triangle the addition of all internal angles is always 180 degrees.
So this means we can build this equation
5x + 35 + 60 = 180
now separate x values and numerical values
5x = 180 - 60 - 35
x= (180 - 60 - 35)/ 5 = 85/5 = 17
Sydney picked 28 raspberries and 35 blueberries to make two desserts.
She needs 4 raspberries for each raspberry tart and 5 blueberries for each
blueberry tart. She wants to know how many desserts she will be able to
make with the berries.
Answer:7 and
Step-by-step explanation:
Answer: 7 raspberry tarts and 7 blueberry tarts
Step-by-step explanation:
28 raspberries / 4 raspberries for each tart = 7 raspberry tarts
35 blueberries / 5 blueberries for each tart = 7 blueberry tarts
Complete the explanation of the error.
If x²=81, then x = 9.
The value of x could also be
The square root of a number can also be negative number so x could also be -9
Taking square root of a numberSquare root of a number is the number such that if it is multiplied by itself we get the square. The opposite of squaring an integer is finding its square root. As we know multiplication of two negative numbers produce a positive number. this is the reason why square of both positive and negative numbers are both positive. therefore, square root of a number can also be positive or neegative both. That is why we can't take square root of negative numbers.
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I need help with the 2nd g(x) one please
hi do you think you can help me on this question
SOLUTION
From the question
[tex]\begin{gathered} 1\text{cup = 8 fluid ounces, then } \\ x\text{ cup = 560 fluid ounces } \end{gathered}[/tex]Cross multiplying you have that
[tex]\begin{gathered} x\times8\text{ fluid ounces = 560 fluid ounces }\times1\text{ cup } \\ \text{Hence } \\ x=\frac{560\times1}{8} \\ x=70\text{ cups } \end{gathered}[/tex]Hence, the answer is 70
Assume the TV warranty or replacement times for TV sets are normally distributed with a mean of 9.2 years and a standard deviation of 1.1 years. Find the probability that a randomly selected TV will have a replacement time of less than 6 years.
Firstly, let's draw a picture of the distribution:
Graphically, we want to calculate the blue area. To put it differently, we want to calculate
[tex]P(X<6).[/tex]To do this, we need to find the z-score associated with 6. We can calculate it by
[tex]\begin{gathered} z=\frac{6-\mu}{\sigma}\Rightarrow\begin{cases}\mu=\operatorname{mean} \\ \sigma=\text{standard deviation}\end{cases}, \\ \\ z=\frac{6-\mu}{\sigma}=\frac{6-9.2}{1.1}\approx-2.91. \end{gathered}[/tex]Now, we must check our favorite z-score table and look for the probability associated with the z-score we just found. It's 0.0018.
AnswerThe probability that a randomly selected TV will have a warranty of less than 6 years is 0.0018.
4. Mark's age, when doubled, is Peggy's age. Peggy is 6 years older than Chris. Chris is 6 years older than
Mark. How much older is Peggy than Mark?
20 = 4 (y + 8) - 8y solve for y and simplify your answer as much as possible
Answer:
y = 3
Step-by-step explanation:
20 = 4 (y + 8) - 8y
20 = 4y + 32 - 8y
20 - 32 = 4y - 8y
-12 = -4y
-4y = -12
-4y/-4 = -12/-4
y = 3
To check
20 = 4 (y + 8) - 8y
20 = 4 (3 + 8) - 8(3)
20 = 12 + 32 - 24
20 = 44 - 24
20 = 20
Correct~
Answer: y = 3
Step-by-step explanation:
1. Distribute the 4 to the terms in the parenthesis.
20 = 4y + 32 - 8y
2. Combine like terms (those containing y).
20 = -4y + 32
3. Isolate terms with y by subtracting 32 from both sides.
-12 = -4y
4. Divide both sides by -4.
3 = y
6th grade math, Please Help) 2 people pls answer so i can make brainliest! and you will get 20 points :)
Evaluate the Algebraic expression; j+2h= when f=6, g=8, h=12, j=2
OA) 14
OB)18
OC)26
OD)30
Answer:
the answer is 26
Step-by-step explanation:
j+2h
(2) + 2(12)
2 + 24
26
I need help with what's on the screen, thank you.
a) We know that in the northern Hemisphere we have 4 seasons: Summer where is more sun, Spring, and autumn that the sun is like 50/50 and winter that is the season with less sun. So we can made a graph with this so:
b) In this case if we have a simple interest is going to be a streight light that is going to increase. So the graph will be:
c) An item that increase it's price by 50% is going to be increasing each time more, so this case will be an exponential so the graph will be:
d) The high of a triangle and the base of the triangle are going to to have a constant rate. so the graph will be a horizontal line so:
If <1 and <2 are
supplementary angles with
m <1 = 10x +5 and m <2= 6x-1, what are the measure-
ments of both angles?
Step-by-step explanation:
The sum of measure of supplementary angles = 180°
The measure of angle 1 is given as 10x + 5 and the measure of angle 2 is given as 6x - 1
10x + 5 + 6x - 1 = 180 add like terms
16x + 4 = 180 subtract 4 from both sides
16x = 176 divide both sides by 16
x = 11
To find the measure of each angle, relace x with 11
angle 1,
10*11 + 5 = 115
angle 2,
6*11 - 1 = 65
Determine which expression is equivalent to the expression 3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13. negative 5 over 8 times g plus negative 19 3 over 8 times g plus negative 19 negative 5 over 8 times g plus negative 7 5 over 8 times g plus negative 7
The equivalent expression in the form of statement will be -
"negative 5 over 8 times g plus negative 19".
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is the following statement - "3 over 4 times g minus 6 minus 7 over 8 times g minus the expression one over 2 times g plus 13"
We can write the statement in the form of a equation as -
(3g/4 - 6) - (7g/8) - (g/2 + 13)
3g/4 - 6 - 7g/8 - g/2 - 13
(3g/4 - 7g/8 - g/2) - (6 + 13)
On solving, we get -
- 5g/8 - 19
Therefore, the equivalent expression in the form of statement will be -
"negative 5 over 8 times g plus negative 19".
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Hi please help explain. Image attached. Thanks!
which of the following coordinates represent a point on the Y - axis choose all that apply
Question 7:
The y-axis on a graph is the vertical line on a graph, it represents the dependent variable.
Any point on the y-axis of a graph, has an x-value of zero.
Therefore, from the list given, any coordinate with an x-value of zero is on the y-axis.
Apply the point form: (x, y)
The following coordinates represent a point y-axis:
(x, y) ==> (0, -4)
(x, y) ==> (0, 3)
ANSWER:
(0, -4)
(0, 3)
April is arranging place cards for a wedding reception on a table. The bride's family has 154 cards and the groom's family has 140 cards. She wants the arrangements for the two families to have the same number of cards in each row. What is the greatest number of cards that she can place in a row?
The greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is 14.
In the question ;
it is given that
number of card that Bride's family has = 154
number of cards that Groom's family has = 140 cards.
So , to find the greatest number of cards that April can place in a row we need to find the GCF(154,140) ,
to find the GCF (154,140)
prime factorization of 154 = 2*7*11
prime factorization of 140 = 2*2*5*7
common factors = 2*7
Hence the GCF(154,140) = 14
Therefore , the greatest number of cards that April can place in a row , so that the two families have same number of cards in each row is 14.
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The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function of its radius r in
units where S(r) = 2rr²+36. What is the surface area of a cylinder with a volume of 18 cubic units and a
radius of 3 units
The surface area of a cylinder with a volume of 18 cubic units and a radius of 3 units is 68.52 units².
How to calculate the surface area?The volume of a cylinder is calculated as:
= πr²h
In this case, the volume is given as 18 units³. The computed height is 0.637 units.
The surface area will be:
= 2πr² + 2πrh
= 2(3.14 × 3²) + (2 × 3.14 × 3 × 0.637)
= 56.52 + 12
= 68.52 units²
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please help math is an absolute pain
Answer: 3/5 cm
Step-by-step explanation:
Let the length of the base be x. Then, using the formula for the area of a triangle,
[tex]\frac{3}{25}=\frac{1}{2} \cdot \frac{2}{5} x\\\\\frac{3}{25}=\frac{1}{5}x\\\\x=\frac{3}{5}[/tex]
This is to hard for me help me out please
10-9x24/8x6 (pemdas)
Answer:
-152
Step-by-step explanation:
1. Parenthesis
2. Exponents
3. Multiplication/Division (left to right)
4. Addition/Subtraction (left to right)
Always look left to right.
The first thing is 9x24=216 (3. multiply)
10-216/8x6
Then 216/8=27 (3. divide)
10-27*6
Then 27*6=162 (3. multiply)
10-162
Then finally 10-162=-152 (4. subtract)
The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.
We have,
To solve the expression using the order of operations (PEMDAS/BODMAS), follow these steps:
Perform multiplication and division from left to right:
10 - 9 x 24/8 x 6 can be rewritten as 10 - (9 x 24) / (8 x 6).
Perform the multiplication inside the parentheses:
10 - (9 x 24) / (8 x 6)
10 - 216 / (8 x 6).
Perform the multiplication in the denominators:
10 - 216 / (8 x 6)
10 - 216 / 48
Perform the division:
10 - 216 / 48
10 - 4.5
Perform the subtraction:
10 - 4.5
5.5
Therefore,
The expression 10 - 9 x 24/8 x 6 following (PEMDAS/BODMAS) is 5.5.
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-7u^2+12u+4 factor the following expression
-( ( 7 - u )( u - 2 ) ) is the factorized form of the polynomial -7u² + 12u + 4, using the AC method.
How to factor a polynomial?Given the polynomial in the question;
-7u² + 12u + 4
Factor out -1 out of the polynomial
-1( 7u² - 12u - 4 )
Compare to the form ax² + bx + c
a = 7b = -12 c = -4To factor, compare to the form ax² + bx + c and rewrite the middle term as a sum of two terms whose product is;
a × c = 7 × -4 = -28
and whose sum is;
b = -12
Now, factor -12 out of -12x
-1( 7u² - 12(u) - 4 )
We know that -13 is the same as 2 plus -14
-1( 7u² - ( 2 - 14 )u - 4 )
Apply distributive property
-1( 7u² - 2u - 14u - 4 )
Group the terms
-1( u(7u - 2) - 2(7u - 2 ) )
-1( (7-u)(u-2) )
-( (7-u)(u-2) )
Therefore, the factorized form of the polynomial is -( ( 7 - u )( u - 2 ) ).
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-(7u+2)(u-2) is the factorized form of expression -7u²+12u+4.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is -7u²+12u+4.
We need to find the factors of this expression.
-7u²+12u+4.
This can be written as
-7u^2+14u-2u+4.
Take 7u from first two terms and 2 from last two terms in the expression.
-7u(u-2)-2(u-2)
(-7u-2)(u-2)
-(7u+2)(u-2)
Hence -(7u+2)(u-2) is the factorized form of -7u^2+12u+4.
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Please help me asap :)
Answer:
C = 62.8
Step-by-step explanation:
C = 2πr
π = 3.14
diameter = 20 ft
r = 10 ft
Get r or the radius by taking half of the diameter which is 20 ft and get 10 ft.
Plug this information in the formula and multiply to get C or the circumference.
C = 2(3.14)(10)
C = 62.8
4x - 7<-27 or 29 4x - 7
Answer:x= 1/4=0.250
Step-by-step explanation:
2q/5 + 4 < 2q/3 - 9 what the answer?
Answer: 195/4
Step-by-step explanation:
three friends earned more than $200 washing cars. They pay their parents $28 for supplies and divided the rest of the money equally. right an equality to find possible amount each friend earned. Identify what your variable represents.
x is each friend
3x + 28 > 200
3x > 172
x > $57.33
if right can a i get brainliest pls
Answer:
Step-by-step explanation: $200-$28= $172
$172÷3=$57.33
(x + 4)(x + 3)How do I find the answer of this with work to break it down?
In order to break down this product, we need to apply the distributive property of the multiplication.
So we need to find the product of each term inside a binomial by each term in the other binomial.
That is, first we find x times x and x times 3, then we find 4 times x and 4 times 3, finally we add them all:
[tex]\begin{gathered} (x+4)(x+3)=x\cdot x+x\cdot3+4\cdot x+4\cdot3 \\ =x^2+3x+4x+12=x^2+7x+12 \end{gathered}[/tex]So the final expression is x2 + 7x + 12.