the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.
What is Percentile rank?When compared to other students in the same grade and topic, for instance, a student's percentile rank shows how well they performed. The percentile rank of a student indicates whether their score was on par with or higher than that of the norm group's percentage of pupils. In statistics, the percent of scores in a frequency distribution that are lower than a specific score is known as the percentile rank of that score. A percentile rank returns a numerical value, which really indicates the proportion of people who fall inside that range. Since it is a percentile, its range is always between 1 and 99, with 50 serving as its mean or average rank. Only normalized values or data are ever usable in this fashion.- Mean, $\boldsymbol{\mu}=125$.- Population standard deviation, $\sigma=15$.- Marks obtained by child $(X)=148$Need to find the percentile rank for child's score.
Let[tex]$\mathrm{X}$[/tex]denote marks obtained by the child in the achievement test.
The [tex]$\mathrm{Z}$[/tex]value is given as,
[tex]$$Z=\frac{X-\mu}{\sigma}$$[/tex]
Using equation (1), the required percentile rank for child's score is expressed as,
[tex]& Z=\frac{148-125}{15} \\[/tex]
[tex]& Z=1.533[/tex]
The probability value corresponding to the Z=1.533, obtained from the Z table is 0.93736.
Thus, the percentile is 0.93736.
Therefore, the child's percentile rank is 93 th percentile. It means he performed better than [tex]$93 \%$[/tex]of the total number of students.
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PEASE HELP RIGHT AWNSER GETS THE CROWN THING
Answer: i believe that the answer is B :)
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
We can either use the graph or the chart.
For this question it'll be easier to use the graph.
First find the y-intercept (that were your line meet the y-axis)
y = 4
Then find the slope ([tex]\frac{rise}{run} = \frac{2}{1} = 2[/tex])
Slope = 2
Then plug them into the equation: y = mx + b
m = slope = 2
b = y-intercept = 4
y = 2x + 4
Therefore, the answer is A
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
Answer:
Find the value of xx in the equation below.
11=
11=
\,\,x -6
x−6
Step-by-step explanation:
Of the 360 members of the kennel club who were
surveyed, 190 said they would try a new dog food.
If the kennel club has 2,100 members, how many
could be expected to try the new dog food?
-x+6=-2(x+2)-5
Solve for x
Answer:
x = -15
Step-by-step explanation:
-x+6=-2(x+2)-5
Solve for x
-x + 6 = -2(x + 2) - 5
-x + 6 = -2x - 4 - 5
x = -15
------------------------
check- (-15) + 6 = -2(-15 + 2) - 5
21 = 21
the answer is goodx = -15
Find C using Special right triangles
The length c of the right angle triangle is 9 units.
How to find the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a right angle triangle is 180 degrees.
The sides of a right angle triangle can be found using trigonometric ratios as follows:
Therefore,
sin 60° = opposite / hypotenuse
where
opposite side = c
hypotenuse side = 6√3 ft
Hence,
sin 60° = c / 6 √3
cross multiply
c = 6√3 × sin 60
c = 6√3 × √3 / 2
c = 6 × 3 / 2
c = 18 / 2
Therefore,
c = 9 units
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i'm stuck on this question! solve for x. assume that lines which appear tangent, are tangent.
Answer:
7
Step-by-step explanation:
The formula for intersecting chords creating which create the limits of arcs and associated angles is
<HES = 1/2 (ARC HS + ARC GF)
<HES = 1/2 (ARC 51 + ARC 195)
<HES = 1/2 (246)
<HES = 123
What that tells you is that <GEF = the same thing because <HES and <GEF are vertically opposite.
Now I am going to assume that <HES = 16x + 11. This is not a sure thing, but I assume it is what is intended.
16x + 11 = 123 Subtract 11 from both sides
16x = 123 - 11
16x = 112 Divide by 16
x = 112/16
x = 7
NEED HELP ASAP
NO LINKS AND NO JUST SAYING HI, PLEASE ANSWER LEGITIMATELY! THANK YOU!!!! <3
Answer:
85 degrees
Step-by-step explanation:
Hi there!
<x is an exterior of the triangle ABC. An exterior angle of a triangle is equal to the sum of the two opposite interior angles. Therefore, we could say that x is equal to the sum of 60 and 25:
60+25=x
85=x
Therefore, angle x measures 85 degrees.
I hope this helps!
Answer:
85
Step-by-step explanation:
What is the value of F (- 3 2 where F x )= 4x2 3x 7 2?
The value of F (- 3 2 where F x )= 4x2 3x 72 is:
F ( -3) = - 27 and F (2) = - 62
What is function?In mathematics, function is an expression that shows a relationship between an independent variable and a dependent variable. In other words, a function creates a relation between an input to an output.
As per the given function F(x), x is the independent variable and F (x) is the dependent variables.
generally, we write F(x) = y
What is the value of F ( -3, 2) for the function given in question?given, F (x) = 4x² - 3x -72
F (x) is a function of x
for x = - 3, F ( -3) = 4(-3) ² - 3(-3) -72
F (- 3) = - 27
again, x = 2, we get F (2) = 4(2) ² - 3(2) - 72
F (2) = - 62
from the above calculation, we find (-3, 2) are domain of function F (x) and
(- 27, -62) are ranges of the above function.
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How do i solve this? (by factoring)
x(x+3)=x+8
[tex]\sf x\left(x+3\right)=x+8\\\\\\\\x^2+3x=x+8\\\\\\\\\sf \boxed{\sf\mathrm{Subtract\:}8\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8=x+8-8\\\\\\\\\sf \boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+3x-8=x\\\\\\\\\boxed{\sf \mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}}\\\\\\\\\sf x^2+3x-8-x=x-x\\\\\\\\\boxed{\sf \mathrm{Simplify}}\\\\\\\\\sf x^2+2x-8=0\\\\\\\\\boxed{\sf factor~ x^2+2x-8=0}\\\\\\\\\sf \left(x-2\right)\left(x+4\right)=0[/tex]
[tex]\sf \boxed{\sf \mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0}\\\\\\\\\sf x-2=0\quad \mathrm{or}\quad \:x+4=0\\\\\\\\\boxed{\sf \{x=2\}}\\\\\boxed{\sf \{x=-4 \} }[/tex]
Adrian purchased a new car in 2007 for $27, 100. The value of the car has been
depreciating exponentially at a constant rate. If the value of the car was $12, 300 in
the year 2013, then what would be the predicted value of the car in the year 2023, to
the nearest dollar?
Answer:
2344 .
Step-by-step explanation:
n/a
HELPPP. I need help finding this answer
Answer:Don't know
Step-by-step explanation:
What is the experimental probability of how many times on even number was actually rolled using the table?
Since there was a total of 36 rolls, and 15 of the rolls gave an even number, the odds will be 15/36. This can be reduced to 5/12, your answer.
Hope that helps.
How do I solve problem 7?
Answer:
16ᵗʰ Term of the sequence is 1010
Step-by-step explanation:
7.)
Here,
First Term = a₁ = 5
Common Difference = d = 67
Now, For 16ᵗʰ term, n = 16
aₙ = a + (n - 1)d
a₁₆ = 5 + (16 - 1) 67
a₁₆ = 5 + 15 × 67
a₁₆ = 5 + 1005
a₁₆ = 1010
Thus, 16ᵗʰ Term of the sequence is 1010
-TheUnknownScientist
I need help with my final!
Answer:
(-7, 4)
Step-by-step explanation:
The ratio of chocolate kisses in a party favor bag to people it will serve is 1:5. If Deb wants to provide party favor bags to 80 people, how many bags will Deb use?
Answer:
times 1 by 80 and 5 by 80
Step-by-step explanation:
then you can determine from there
What is the coefficient of y2 in the expression 2x2y 15xy2 7y?
Let x be the coefficient of y^2 in the expression 2x^2y+15xy^2-7y. So x=0.
What is co-efficient?
A coefficient is a multiplicative factor in a polynomial, series, or expression in mathematics. It is typically a number, although it can also be any expression (including variables such as a, b and c). They may also be referred to as parameters if the coefficients are variables in and of themselves.
Write an example of co-efficient.
As an illustration, 6z stands for 6 times z. Since z is a variable, 6 is a coefficient. For variables without a value, the coefficient is 1.
The given algebraic expression is 2yx^2+15xy^2-7y.
The terms are xy^2, yx^2 any y^2
So the co-efficient of y^2 is 0
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Benjamin invested $66,000 in an account paying an interest rate of 63%
compounded annually. Christian invested $66,000 in an account paying an interest
rate of 5% compounded continuously. After 19 years, how much more money would
Benjamin have in his account than Christian, to the nearest dollar?
Answer:
$16,755
Step-by-step explanation:
You want the difference in interest earned on $66,000 after 19 years between an account earning 6 3/8% compounded annually, and one earning 5 3/4% compounded continuously.
Interest formulasThe formula for the account value multiplier when interest is compounded annually is ...
k = (1 +r)^t . . . . . . compounded annually at rate r for t years
When interest is compounded continuously, the multiplier is ...
k = e^(rt)
ApplicationThe difference in account values between the two rates is ...
∆value = $66,000·(1 +0.06375)^19 -e^(0.0575·19))
∆value ≈ $16,754.70
Benjamin will have about $16,755 more than Christian after 19 years.
How does the formula S=2B+Ph apply to finding the surface area of a right prism?
Answer S−2BP=h
Explanation:isolate the Phterm on one side of the equation:S−2B=PhDivide both sides by P:S−2BP=h
Hopefully this helps!
brainlest if it rightt
Find the value x that makes the equation true . x + 4 = 12
x = 16
x=8
x=24
x=3
Answer:
x = 8
Step-by-step explanation:
x + 4 = 12
Subtract 4 from both sides
x = 8
Let's check
8 + 4 = 12
12 = 12
So, x = 8 is correct!
If you can, please give me a Brainliest, thank you!
Oof I need help again plz people
Answer:
3/10 m^2
Step-by-step explanation:
To find the area of the rectangle
A = l*w
= 2/5 * 3/4
=6/20
Divide the top and bottom by 2
= 3/10 m^2
Answer:
As a decimal it would be 0.3 but as a faction it would be 3/10
Step-by-step explanation:
2/5 times 3/4 = 0.3 or 3/10
Please answer correctly I’ll mark you brainlist!
Answer: width = 4m, perimeter = 26m
Step-by-step explanation:
area of rectangle = width x length
9x = 36
x = 4
width = 4m
perimeter:
9 + 9 +4+4 = 26 m
Two children take turns breaking up a rectangular chocolate bar 6 squares wide by 8 squares long. They may break the bar only along the divisions between the squares. If the bar breaks into several pieces, they keep breaking the pieces up until only the individual squares remain. The player who cannot make a break loses the game. Who will win
The player who goes first will win.
This is because the chocolate bar can be broken up into 6*8=48 squares, and the player who goes first can always ensure that the second player is left with one square on their turn (by breaking the bar into two pieces that leave one square for the second player to take). This means that the second player will always be the one who cannot make a break, and thus loses the game.
Therefore, The player who goes first will win.
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The rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches. What is the area, in square inches, of the floor in the scale drawing?
HURRYYYYYYYYYYYYYY
Answer:
30 in.²
Step-by-step explanation:
Real:
length 30 ft
width 36 ft
Scale:
length 5 in.
width ?
30/36 = 5/x
30x = 5 × 36
x = 6
The scale width is 6 inches.
Scale area:
area = length × width
area = 5 in. × 6 in.
area = 30 in.²
The area, of the floor in the scale drawing is 30 in.²
What is the unitary method?The area is the total amount of space that an object's shape or a flat (2-D) surface occupies.
Given that rectangular floor of a classroom is 30 feet in length and 36 feet in width. A scale drawing of the floor has a length of 5 inches.
length 30 ft
width 36 ft
Scale: length 5 in.
Then we have
30/36 = 5/x
30x = 5 × 36
x = 6
The scale width is 6 inches.
Scale area:
The area = length × width
area = 5 in. × 6 in.
area = 30 in.²
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A mountain on a tropical island experiences changes in its height due to volcanic activity. Its current height is 2,827 meters, which is 10% taller than it was when the mountain was last measured. How tall was it then?
Answer:
2,570 meters
Step-by-step explanation:
110% of what number is 2827
1.1x = 2827 Divide both sides by 1.1
[tex]\frac{1.1x}{1.1}[/tex] = [tex]\frac{2827}{1.1}[/tex]
x = 2570
Write the coordinates of the vertices after a rotation 90 degrees counterclockwise around the origin.
Answer: J' (8, -9); K' (8, -2); L' (3, -2); M' (3, -9)
Step-by-step explanation:
A rotation of 90 degrees counterclockwise is (x, y) -> (-y, x), so
J (-9, -8) -> J' (8, -9)
First, you take negative 8 (y) of J and make it positive 8 for the x of J'. Then, take -9 (y) of J and switch it to x of J'.
You repeat this process for the rest of the points. X switches to Y with the opposite sign and Y switches to X but stays the same.
K (-2, -8) -> K' (8, -2)
L (-2, -3) -> (3, -2)
M (-9, -3) -> (3, -9)
It takes a ship three hours to cover 72 km with the current and 4 hrs against the current. Find the speed of the ship in still water and the speed of the current.
Answer:
3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
Answer:
The current is 3km/h and the speed of the ship is 21 km/h.
Step-by-step explanation:
What does -= mean in Python?
In Python an operator -= is subtracts the value on its right to the variable and assigns the result to the variable on its left.
As we know an operator is nothing but a symbol that represents a mathematical or logical process.
We know that in Python the operator -= provides a way to subtract a value to an existing variable and assign the new value back to the same variable.
If m -= n
This means, the variable m the left side is getting added to the value on the right side (n), and the result is then reassigned to the variable on the left.
i.e., m = m - n
-= is an assignment operator.
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help help help help help help
The equation point slope is y - y1 = m(x - x1)
we got y - (-16)=3(x-7)
what is meant by point of slope?Point-slope is the general form y-y₁=m(x-x₁) for linear equations. It emphasizes the slope of the line and a point on the line (that is not the y-interceptThe slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept pointA simple definition of point-slope form is an equation of a line written using one point on the line and the slope of the line. The point form is written as (x,y) and the slope is the rise over run, or the ratio of the change in the y values over the change in the x valuesThe slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).To learn more about point of slope refers to:
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Eden is working on an experiment for her science fair project. She is planting a total of 10 herbs for an herb garden. She is going to plant basil and mint. The basil plants cost $.50 per plant and the mint plants cost $.25 per plant. Eden has a total of $3 to spend on plants because she also has to purchase potting soil and a long planter pot. Write a system of equations and solve either using elimination or substitution.
A system of equations for this problem can be written as:
x + y = 10 (1) equation for the total number of herbs planted
0.50x + 0.25y = 3 (2) equation for the total cost of the herbs
Where x is the number of basil plants and y is the number of mint plants.
Using substitution, we can solve the system of equations.
Solving equation (1) for x, we get x = 10 - y
Substituting this into equation (2) we get:
0.50(10 - y) + 0.25y = 3
5 - 0.50y + 0.25y = 3
5 = 0.75y + 3
0.75y = -2
y = -2/0.75 = -8/3
So, Eden planted -8/3 mint plants, which doesn't make sense, as a fraction of plant are not possible. This implies that either the number of plants or the amount spent are incorrect or something is missing in the problem description.
URGENT! HOMEWORK DUE TOMORROW MORNING!
Miguel has three times as many dimes as he has quarters. He has as many nickels as he has dimes and quarters combined. The total amount of money he has is $3.00. How many of each coin does Miguel have?
After solving the algebraic equation, Miguel has 4 quarters, 12 dimes and 16 nickels.
What is algebra?
One of the earliest areas of mathematics that deals with number theory, geometry, and analysis is algebra. Algebra is also defined as the study of mathematical rules and symbols through the manipulation of those mathematical symbols.
The number of quarters is taken to be x, then the number of dimes will be 3x, and the number of nickels will be 3x + x = 4x
$3.00 when converted to cents is 300 cents.
The value of nickels is 5 x 4x=20x.
The value of dimes is 10 x 3x=30x.
The value of quarters is 25x.
As the total value of money Miguel has is 300 cents, then the algebraic equation will be -
20x + 30x + 25x = 300
Solve to get the value of x -
75x = 300
x = 4
Therefore, the amount of quarters is x = 4 quarters.
The amount of dimes is x = 3x = 3 x 4 = 12 dimes.
The amount of nickels is 4x = 4 x 4 = 16 nickels.
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