In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
What is standard Deviation ?The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is.
According to the given information
8, 12, 27, 32, 45, 57, 61, 73, 82, 94 data points are provided.
Their average mean is 49.1.
The computed standard deviation is 29.31988.
The lower and upper limits are provided by the following when one standard deviation from the mean is taken into account.
= [ 49.1 - 29.31988, 49.1 + 29.31988 }
= [ 19.78012 , 78.41988 ]
We can observe that only six points—27, 32, 45, 57, 61 and 73—or 60% of the total—remain within one standard deviation of the mean.
In a normal distribution, a minimum percentage of 68% is anticipated, while an expected percentage of 60% is lower at 60%.
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Answer: C 60%; This percentage is lower than expected in a normal distribution.
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles. How many blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4?.
32 more blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4
A bag contains 10 red marbles, 7 blue marbles, and 3 green marbles.
we need to find the numbar of blue marbles need to be added to the bag so that the probability of randomly drawing a blue marble is 3/4
Let the number of blue marbles added be n,
required probability P = 3/4
Total marbles = 10 + 7 + 3
= 20
Number of blue marbles=7
Using definition of probability,
(7 + n)/(20+n) = 3/4
4(7+n)=3(20+n)
28+4n=60+3n
n = 32
Therefore, we need to add 32 more blue marbles to make the probability of randomly drawing a blue marble be 3/4.
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A small pool for children has some water in it. Jabari uses a garden hose to add water to it. The total amount of water in gallons, y, is a function of the time in minutes since Jabari turns on the hose, x.
The graph of the linear function passes through the points (2,44) and (5,80). What is the equation of this function?
y=?x+?
The equation for the given linear function is y = 12m + 20.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The given points for the linear function are (2, 44) and (5, 80) respectively.
The slope can be obtained as,
m = (80 - 44)/(5 - 2)
= 36/3
= 12
Substitute the value of m in the general form y = mx + c to obtain,
y = 12x + c
Now, substitute x = 2 and y= 44 in the above expression as,
44 = 12 × 2 + c
=> c = 44 -24
=> c = 20
Thus the linear function can be written in the form of equation as,
y = 12m + 20
Hence, the equation of the function for the given case is y = 12m + 20.
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how many. roots
f(x) = 4x5 – 3x
The function f(x) is 4x5 – 3x has exactly 5 roots according to the Fundamental Theorem of Algebra.
How to find number of roots ?According to the Fundamental Theorem of Algebra, a polynomial function of degree n has exactly n roots (also known as zeros).In other words, if f(x) is a polynomial function of degree n, then there exist n values of x, called roots or zeros, that satisfy the equation f(x) = 0.The Fundamental Theorem of Algebra is important because it guarantees the existence of solutions to polynomial equations, which are equations that have the form f(x) = 0, where f(x) is a polynomial function.In this case, the polynomial function is f(x) = 4x^5 - 3x, which is of degree 5. Therefore, the function has exactly 5 roots according to the Fundamental Theorem of Algebra.The correct answer is therefore d) 5 roots.
Complete question :
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?
f(x) = 4x5 – 3x
1 root
2 roots
4 roots
5 roots
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PLS HELP EASY EASY EASY
Answer:
x = 30 degrees
Step-by-step explanation:
By Parts-Whole Postulate, x + 100 = 130, meaning that x = 30 degrees.
Answer: 30
Step-by-step explanation: 130-100=30
Read the story.
Peace Park sets up an outdoor ice-skating rink each winter. Yesterday afternoon, there
were 5 skaters who brought their own skates for every 3 skaters who rented skates.
Pick the diagram that models the ratio in the story.
If there were 12 more skaters who brought their own skates than skaters who rented skates,
how many skaters were there altogether?
skaters
The diagram 2 represents the model that depicts the ratio given in the story.
What is a ratio?Ratio is the quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
Given is that Peace Park sets up an outdoor ice-skating rink each winter. Yesterday afternoon, there were 5 skaters who brought their own skates for every 3 skaters who rented skates.
The given ration of 5 skaters for every 3 skaters is shown in the
diagram 2. In the first column, five blocks are colored and in the second
column, three boxes are colored.
Therefore, the diagram 2 correctly represents the model in the story.
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.........i need help past due
Answer:
[tex]\frac{85}{17}[/tex]
Step-by-step explanation:
[tex]\frac{8.5}{1.7}[/tex] multiply the top and bottom by 10
[tex]\frac{85}{17}[/tex]
Need Help for this Answer on this screenshot
Answer:
<
A
Step-by-step explanation:
At a local print hop, 16 copie can be made for $8. At thi rate, how much would it cot to make 88 copie?
Rate at which 88 copies will get printed is 44 dollars
What is unitary method ?By using the unitary method to find the value of a single unit, we may use that value to calculate the values of the required number of units.
According to the given information :
Applying the unitary method
we get,
Rate at which 16 copies get printed = 8 dollars
Rate at which one copy gets printed = [tex]\frac{8}{16}[/tex]
Rate at which 88 copies get printed = [tex]\frac{8}{16}[/tex]×88
= 44 dollars
Rate at which 88 copies will get printed is 44 dollars.
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O A. (2,4) O B. (1,2) O D. (2,2) What is the midpoint of the line segment with endpoints (-1, 7) and (3, -3)?
The midpoint of the line segment is (1, 2). Then the correct option is B.
What is the mid-point of the line segment?Let AB be the line segment and C be the mid-point of line segment AB. Let the coordinate of point A (x₁, y₁), the coordinate of point B (x₂, y₂), and the coordinate of the mid-point (x, y).
Then the coordinate of the mid-point of the line segment is given as,
(x, y) = [(x₁ + x₂) / 2, (y₁ + y₂) / 2]
The endpoints of the line segment are (-1, 7) and (3, -3). Then the mid-point of the line segment will be given as,
(x, y) = [(-1 + 3) / 2, (7 - 3) / 2]
(x, y) = (2/2, 4/2)
(x, y) = (1, 2)
The midpoint of the line portion is (1, 2). Then the right choice is B.
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Literal Equations
help asap !!
Answer:
Step-by-step explanation:
-6y = -5x + 36
y = 5/6x - 6
URGENT HELP PLEASEEE :)
a) The probability of rolling a total of 5 is 1/9.
b) If a pair of fair dice 360 times, then 40 times you will get a total of 5.
What is probability?
Simply put, probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.
The number of 5 in the table is 4.
The total number of outcomes is 6 × 6 = 36
The number of outcomes of favorable event is 4.
Total number of outcomes is 36.
The probability getting total of 5 after rolling the pair of dice is
=4/36
Divide the denominator and numerator by 4:
= 1/9
If 360 time the pair of dice rolled, the number of times to get total 5 is
360 × (1/9)
= 40.
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The first side of a triangle is 3cm longer than the second. The third side is twice as long as the second. The perimeter is 31cm. Find the length of each side.
Answer:
7 cm ; 10 cm ; 14 cm
Step-by-step explanation:
x = y + 3
z = 2y
x + y + z = 31
y + 3 + y + 2y = 31
4y = 31 -3
4y = 28
4/4 y = 28/4
y = 7
z = 7(2) = 14
x = 7 + 3 = 10
I really need help with these questions!! Please make it quick!!!
Answer:
The selected answer should be correct!
Step-by-step explanation:
I did the problem step by step and got 1 5/7 which is the simplified version of 1 15/21.
I hope this helped somewhat!!
If they are similar, find the value of x
For figure 2) the value of the 'x' would be x = 14.
and for figure 3) the value of the 'x' would be x = 17 or x = 1 .
What is the Basic Proportionality Theorem?
The Basic Proportionality Theorem (can be abbreviated as BPT) states that, if a line is parallel to a side of a triangle that intersects the other sides into two distinct points, then the line divides those sides in proportion.
Figure 2)
By using the Basic Proportionality Theorem, we can write
[tex]\frac{11}{22}=\frac{x}{42-x}\\\\\frac{1}{2}=\frac{x}{42-x}\\\\42-x=2x\\\\3x=42\\\\x=14[/tex]
Now for figure 3)
By using Pythagoras' theorem, we can write
[tex]24^2+(x+7)^2=(2x-10)^2\\\\576+x^2+14x+49=4x^2-40x+100\\\\3x^2-54x+51=0\\\\x^2-18x+17=0\\\\x^2-17x-x+17=0\\\\(x-17)(x-1)=0\\\\x=17 $ or $ x=1[/tex]
Hence, for figure 2) the value of the 'x' would be x = 14.
and for figure 3) the value of the 'x' would be x = 17 or x = 1 .
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Matias has a planter that is full of soil. The planter is a rectangular prism that is 1 1/2 ft high, 3 2/3 ft long, and 2 ft wide. Matias pours all the soil into a new planter. The new planter is a rectangular prism that has a base of 8 1/4. What is the height of the soil in the new planter
The height of the soil in the new planter is 4/3 feet
Consider the old planter
The height of the prism = [tex]1\frac{1}{2}[/tex] feet = 3/2 feet
The length of the prism = [tex]3\frac{2}{3}[/tex] feet = 11/3 feet
The width of the prism = 2 feet
The volume of the rectangular prism = Length × width × height
= 11/3 × 2 × 3/2
= 11 cubic feet
The area of the base of the new planter = [tex]8\frac{1}{4}[/tex] square feet = 33/4 square feet
The volume of both planter will be equal
The base area × height = volume
33/4 × h = 11
h = 11 / (33/4)
h = 11 × 4/11
h = 4/3 feet
Therefore, the height of the new planter is 4/3 feet
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5/6 X +3 equals 13 
Answer:
Step-by-step explanation:
The answer is 12
Answer:
x=12
Step-by-step explanation:
[tex]\frac{5}{6}x+3=13\\\frac{5}{6}x+3-3=13-3\\\frac{5}{6}x=10\\6(\frac{5}{6}x)=10(6)\\5x=60\\(\frac{1}{5})5x=60(\frac{1}{5})\\x=12[/tex]
Find the fourth degree polynomial function with zeros 5, -5, 5i, and -5i. Write the function in factored form.
The fourth degree polynomial function with zeros 5, -5, 5i, and -5i. written in factored form is
(x - 5) (x + 5) (x - 5i) (x + 5i)How to find the function with the given zerosThe zeros of a polynomial function is the the value of x when the function is equal to zero
The zero is also called the root of the polynomial
To find the polynomial we equate to the zeros
the first
x = 5
x - 5 = 0
the second
x = -5
x + 5 = 0
the third
x = 5i
x - 5i = 0
the fourth
x = -5i
x + 5i = 0
Bringing the terms together
(x - 5) (x + 5) (x - 5i) (x + 5i)
Therefore the polynomial of zeros 5, -5, 5i, and -5i is gotten in factored form in the form (x - 5) (x + 5) (x - 5i) (x + 5i)
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If the constant of Proportionality between X and Y is 2.5, Which equation represents their relationship
A) Y= 2.5X
B)2Y=5X
C)5Y=2X
D)Y=X divided by 2.5
Y= 2.5x equation represent their relationship .
What is equation?An equation is a formula that is express the equality of two expressions ,by the connecting them with the equal sign .
The process of equting one thing with another is called the equation of science with objective .
The equation is representing direct proportion is, by the connecting them with in the equal sign.
y = kx ← k is the constant of proportion
Here k = 2.5 , thus
y = 2.5x ← equation of proportion.
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HELP MEE !! 45 points!!
Solve. What is “u” in the inequality? –11 < 6u+ 4u
Answer:
u > -11/10
Step-by-step explanation:
Find the next two terms in this
sequence.
50, 40, 31, 23, 16, | ? ],[?]
Answer:
8, 0
Step-by-step explanation:
On a 60-mile road there are 7 rest stops placed at.
equal intervals, including one at each end of the
road, as shown above. What is the distance, in feet,
between two consecutive rest stops?
(Note: 1 mile = 5,280 feet)
A) 31,680
B) 36,960
C) 45,257
D) 52,800
Answer:
C. 45,257
Step-by-step explanation:
5280 * 60 = 316,800
316,800 ÷ 7 = 45,257
The distance between two consecutive rest stops is 45257 feet.
What is division?Division is the process of dividing a number by a given number.
Given that, the 60-mile road is divided into 7 equal parts.
The length of each part is:
60/7 mile
Given that;
1 mile = 5280 feet
Therefore;
60/7 mile = (60/7)5280 feet
60/7 mile ≈ 45257 feet
Hence, the distance between two consecutive rest stops is 45257 feet.
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Evaluate x³-2xy² + y³ when x= -2 and y=3
Answer:
5
Step-by-step explanation:
[tex] {x}^{3} - {2xy}^{2} + {y}^{3} \\ {( - 2)}^{3} - 2( - 2)(3) {}^{2} + {3}^{3} \\ - 8 + 4 - 18 + 27 \\ 31 - 26 = 5[/tex]
Answer:
55
Step-by-step explanation:
1. Substitute in the values
-2^3 - ( 2 * -2 * 3^2 ) + 3^3
2. Simplify the powers
-8 - ( 2 * -2 * 9 ) + 27
3. Solve the brackets
-8 - ( -4 * 9 ) + 27
-8 - ( -36 ) + 27
-8 + 36 + 27
4. Solve
-8 + 63
55
The ale price of a wimming pool after a 18. 5% dicount i 1206. 20. Find the original lit price of the pool
The swimming pool was on sale for $1206.2, which is 18.5% less than its initial $1429.35 cost.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Here,
Sale price after discount=$1206.2
Discount percent=18.5%
Original price=1206.2+18.5%*1206.2
=$1429.35
The original price of the swimming pool was $1429.35 as It was at sale price of $1206.2 with the discount of 18.5%.
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there are 25 animals on a farm. 10 of them are cows. what percentage of animals on the farm are cows?
Answer: 40%
Step-by-step explanation:
Take 10 divided by 25; then times 100 = 40%
Jeff bicycles 144 miles at the rate of r mph. The same trip would have taken 3 hours longer if he had decreased his speed by 4 mph. Find r (in mph).
His original speed was r =mph.
Jeff bicycles 144 miles at the rate of r mph. The same trip would have taken 3 hours longer if he had decreased his speed by 4 mph. The value of r is 16.
What is speed ?
The speed at which an object's position changes in any direction. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Given that it only has a direction and no magnitude, speed is a scalar quantity.
144/r= t
144/(r-4)-144/r = 3
LCM r(r-4)
144r-144(r-4)/r(r-4)=3
Simplify [tex]$\frac{144 r-144(r-4)}{r(r-4)}: \frac{576}{r(r-4)}$[/tex]
[tex]\frac{576}{r(r-4)}=3[/tex]
Multiply both sides by r(r-4)
[tex]\frac{576}{r(r-4)} r(r-4)=3 r(r-4)[/tex]
Simplify
576=3 r(r-4)
Solve [tex]$576=3 r(r-4): \quad r=16, r=-12$[/tex]
r=16, r=-12
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PLEASE AWNSER ASAP!!
The Double box plot shows the number of car shows attended by two car clubs each year.
What is the Mean of The Cruisers?
A. 9
B. 10
C. 11
D. Unable to determine given the Data
9 is the mean of clusters
What are equivalent equations?
Equivalent equations are algebraic equations that are having identical roots or solutions. By adding or subtracting the same number or expression to both side of an equation we get an equivalent equation. Also by multiplying or dividing both sides of an equation by the same non zero number we get equivalent equation.
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the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes. write an expression that shows how many sweatshirts were not adult sizes.
The expression that shows how many sweatshirts were not adult sizes is s - 19 .
Given :
the lacrosse team sold s team booster sweatshirts, and 19 of them were adult sizes.
Expression :
An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.
Expression = number of sold sweatshirts - number of adult sizes.
= s - 19.
This gives the number of sweatshirts that are not adult sizes
if s = 25
then not adult sizes sweatshirts = s - 19
= 25 - 19
= 6
Hence the expression is s - 19.
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Erin is selling books for $12 each. She wants to make more than $180 in book sales. Write an inequality that can be used to determine the number of books, b, she must sell in order to meet her goal, then solve for b.
The inequality that can be used to determine the number of books, b, Erin must sell in order to meet her goal of making more than $180 in book sales is 12b ≥ 180.
2. The solution to the inequality 12b ≥ 180 is that b ≥ 15.
What is inequality?Inequality is a mathematical statement that two or more mathematical expressions are unequal because their solutions are not equivalent in value.
Inequalities are depicted as less than (<), more than (>), not equal to (≠), less than or equal to (≤), and more than or equal to (≥).
The selling price per book = $12
The total sales revenue expected is ≥ $180
The number of books = b
Inequality describing the situation = 12b ≥ 180
b ≥ 180 ÷ 12
b ≥ 15
Thus, we can conclude that Erin needs to sell 15 or more books to earn $180 or more from the book sales.
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Write a equation for each one please this is urgent!!!
50 points to whoever answers!!!
1. A line with a slope of 0 and a y-intercept of 5.
2. A line with a slope of 2 and a y-intercept of -1.
3. A line with an undefined slope and an x-intercept of -1.
Answer:
1. y = 5
2. y = 2x - 1
3. x = -1
The volume of a cylinder having height one and half of the radius is 12,936 m3 what minimum square cm of paper is needed to cover the curved surface area of the cylinder? The answer should be 1848m2. please solve my question.