The percent increase of women students is 21.13%.
Given that, an area vocational school had an enrollment of 325 men and 123 women.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
In 2006, there were 149 women.
Percentage increase = (New value - original value)/Original value × 100
= (149-123)/123 × 100
= 26/123 × 100
= 21.13%
Therefore, the percent increase of women students is 21.13%.
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has a bag containing twenty balls. There are twice as many yellow balls than blue balls, but the yellow balls are only a third of the red balls. The green balls are the same number as the blue balls. How many are each of the colour ball?
Answer:
Yellow: 4
blue: 2
red: 12
green: 2
Find equation in slope intercept form of the line passing through the points with given coordinates (-3,-4), (0,-3)
Answer:
Step-by-step explanation:
→ Find the gradient
( -3 --4 ) ÷ ( 0 --3) = 1/3
→ Write into format
y = 1/3x + c
→ Substitute in a coordinate pair
-3 = 0 + c
→ Solve for c
c = -3
→ Write into format
y = 1/3x - 3
Find the equation of the line through point
(2, 2) and parallel to y= x+4.
Answer:
The equation of a parallel line is y = x
Step-by-step explanation:
Parallel lines have the same slope
hence the new lines slope is = 1
The equation of the line is written in the slope-intercept form,
y = mx + b
where m represents the slope
b represents the y-intercept
where the format of a point is (x, y)
Given:
through point (2, 2) parallel to y = x + 4we need to find b, y = 1x + b
we can plug in the point (2, 2)
2 = 1(2) + b
2 = 2 + b
0 = b
Hence, the equation of the line through point
(2, 2) and parallel to y = x+4 is y = x
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Russell has been offered positions by two cable companies. The first company pays a salary of $17,000 plus a commission of $20 for each cable package sold. The second pays a salary of $14,300 plus a commission of $30 for each cable package sold. How many cable packages would need to be sold to make the total pay the same?
Russell has to sell 270 cable packages to make the total pay of both the companies as same.
Suppose that Russell sells x cable packages such that the total pay of both the companies is the same.
Then the revenue Russell would make at the first company is $17000+20x
And, the revenue Russell would make at the second company is
$14300+30x
Since, the above two values are equal
so, 17000+20x=14300+30x
⇒17000-14300=30x-20x
⇒10x=2700
⇒x=270
The above problems are called mathematical modelling.
Mathematical modelling is the process of locating such equations to explain actual occurrences.
These formulae are referred to as mathematical models together with the definitions given to the variables.
Therefore, Russell has to sell 270 cable packages to make the total pay of both the companies as same.
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Six angles of a heptagon have measures of 80°, 90°, 100°, 145°, 165° and 170°. The smallest of all the exterior angles measures ____.
80°
150°
190°
10°
Answer: 10°
Step-by-step explanation:
Since an exterior angle and its corresponding interior angle are supplementary, meaning they have a fixed sum, to minimize the exterior angle, we need to maximize the interior angle.
This means we need to consider the 170° interior angle, so the corresponding exterior angle is 10°.
Samantha is 9 years younger than her brother Maurice. In 10
years, Maurice will be 1.5 times older than his sister. Find their
present ages.
Step-by-step explanation:
hope you can understand
Answer:
Samantha is 8 years and Maurice is 17 years
Step-by-step explanation:
First represent Samantha's brother's age with a variable, x.
Secondly, find Samantha's age. since shes 9 years younger, then it will be her brother's age which is x minus 9
Thirdly, in ten years, they will all age hence 10 will be added to all their ages.
Fourthly, once 10 has been added to their after 10 years, rhen we realise Maurice age will be 1.5 timess Samantha's age... Then you solve the resulting equation.
What’s the vertex of this graph??
Answer:
(4, -3)
Step-by-step explanation:
A vertex is just a point where 2 lines going in different directions meet. so the answer is (4, -3)
A variable is normally distributed with mean 6 and standard 2 deviation .
a. Find the percentage of all possible values of the variable that lie between 5 and 9.
b. Find the percentage of all possible values of the variable that exceed 1.
c. Find the percentage of all possible values of the variable that are less than 4.
The normal distribution is also known as the Gaussian distribution. The percentage of all possible values of the variable that are less than 4 is 15.87%.
What is a normal distribution?
The normal distribution, also known as the Gaussian distribution, is a symmetric probability distribution about the mean, indicating that data near the mean occur more frequently than data distant from the mean. The normal distribution will show as a bell curve on a graph.
A.) The percentage of all possible values of the variable that lie between 5 and 9.
P(5<X<9) = P(X<9) - P(5<X)
= P(z<1.5) - P(-0.5<z)
= 0.9332 - 0.3085
= 0.6247
= 62.47%
B.) The percentage of all possible values of the variable that exceed 1.
P(X>1) = 1 - P(X<-2.5)
= 1-0.0062
= 0.9938
= 99.38%
C.) The percentage of all possible values of the variable that are less than 4.
P(X<4) = P(X <4)
= P(z<-1)
= 0.1587
= 15.87%
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The graphs below have the same shape. What is the equation of the red graph? g(x) = A. g(x)=2^x+3-2 B. 2^x-3-2 C. 2^x-2-3 D. g(x)=^x+2-3
The equation of the red graph is g(x)=^x+2-3.
Since the upscaling in the y-axis is not the main focus of this equation (being g(x) and not g(y)), the change is not applied to the x-axis.
What is the equation of the graph?
The y-intercept and the slope in order to write the equation in y-intercept (y=mx+b) form. The slope is the change in y over the change in x.
Hence, we can rule out (-3)^2 and (x+3)^2 since they apply changes to the x-axis.
Finally, since this is an upscaling of the y-value on the y-axis, the answer is x^2 + 3 and not x^2 - 3.
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write an exponential expression that shows (10 to the power of 4) to the power of 4 simplified
Answer: it could be
[tex](10^{4} ) ^{4}[/tex]
Step-by-step explanation:
A Ferris wheel at an amusement park is modeled by (x – 100)2 + (y – 75)2 = 4,900, where the measurements are in feet. A slingshot attraction is modeled by y = –3x2 + 48x – 30. Which attraction reaches a greater height, and what does it represent in terms of the context?
The attraction that reaches a greater height and what it represent in terms of the context is:
The slingshot reaches a greater height at 162 ft, which is the vertex of the parabola.The Ferris wheel reaches a greater height at 145 ft, which is the highest point on the circle.HeightFerris wheel
(x – 100)2 + (y – 75)2 = 4,900
y max= 75+70
y max=145 ft
Sling shot
y = –3x² + 48x – 30
dy/dx=-6+48=0
x=48/6
x=8
Hence:
y max = –3(8)² + 48(8) – 30
y max = –3×64+48(8)-30
y max = –192+384-30
y max =162 ft
Therefore slingshot reaches a greater height at 162 ft and Ferris wheel reaches a greater height at 145 ft.
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Please help with this certain math problem
Answer: For this real-valued function;
[tex]fog = 2\sqrt{x-1} + 1\\ Domain = [1, )[/tex]
Step-by-step explanation:
COMPOSITE FUNCTIONIf f and g are functions, then the composite function or composition, of g and f is defined by
[tex]( f o g ) (x) = f(g(x))[/tex]
Given the functions [tex]f(x)=2x+1[/tex] , [tex]g(x)=\sqrt{x-1}[/tex],
Now composition for this;
[tex]fog = f(g(x))f(g(x)) = f(\sqrt{x-1} )[/tex]
[tex]f(\sqrt{x-1})[/tex]means we are to interchange variable x in [tex]f(x)[/tex] with the function [tex]\sqrt{x-1}[/tex]
[tex]f(\sqrt{x-1}) = 2(\sqrt{x-1})+1f(\sqrt{x+1}) = 2(\sqrt{x-1})+1fog = 2(\sqrt{x-1})+1[/tex]
The function inside the square root, x-1, must be more significant than or equal to zero (x-10), for the function to exist on any real-valued function.
[tex]if, x-1 \geq 0\\x\geq 0+1\\x \geq 1[/tex]
As a result, the range of the variable x must only include values that are larger than or equal to 1.
Hence, Domain = [1, )
DOMAIN = The domain of [tex]fog[/tex] is the set of all numbers [tex]x[/tex] in the domain of [tex]g[/tex] such that [tex]g(x)[/tex] is in the domain of [tex]f[/tex].Learn more about Composition and Domain here; https://brainly.com/question/6390405
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15. Desde la punta de un edificio el hombre araña lanza una tela a 500 metros, de la base del edificio
con un ángulo de depresión de 60°, ¿Qué altura (h) tiene el edificio?
ayudaaaa
Step-by-step explanation:
the correct answer will be 93
Please answer this for me
Step-by-step explanation:
all the details see in the attachment.
A farmer has 324 feet of fencing to make three identical adjacent rectangular pens, as shown in the picture. What dimensions of each pen will maximize the total enclosed area?
The dimensions of each pen that will maximize the total enclosed area would be as; Length 81 feet; Width 81 feet.
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.
Let the Dimension of each pen
Length = x
Width = y
Area = xy
Perimeter equation
2(x + y) = 324
x + y = 162
Substituting the perimeter equation
Area = x(162 - x)
Area = -x^2 + 162x
If the zeros of the quadratic are 0 and 162, then the median will be at where the maximum area occurs.
162/ 2
= 81
Hence, The dimensions of each pen that will maximize the total enclosed area would be as; Length 81 feet; Width 81 feet.
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Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did Doug share his cards with ?
Answer is not 4.
Answer:
3
Step-by-step explanation:
24 divided by 6 is 4, subtract Doug, there were 3 friends
No Question, this account was set up in error.
Answer:
is the question no questions question ❓
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:
sorry I don't know the answer
What is the proper ordering (from least to greatest) of the
following numbers?
1.0.32
2.0.32%
3.3.2%
4. 3299
Answer:
.0032 .032 .32 3299
Step-by-step explanation:
0.32% =.0032
3.2% = .032
.32
3299
Which expression is modeled by this arrangement of tiles?
40 positive tiles are broken up into 10 groups of 4 positive tiles.
40 divided by (negative 10)
40 divided by 10
40 divided by 40
40 divided by 40
Answer:
40 divided by 10
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
What is the inverse of f(x)=9x-3
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x9+13 f - 1 ( x ) = x 9 + 1 3 is the inverse of f(x)=9x−3 f ( x ) = 9 x - 3
Answer:
y = x + 3/9
Step-by-step explanation:
Change f(x) y = 9x-3Solve for y +3 +3
x+3 = 9y = y=x+3/9
Can y’all help me with ! I need correct anwsers ! Please
Answer:
Im pretty sure its B, 1.75. Not exactly sure though
Step-by-step explanation:
for the function f(x)=5(x+2) find f (2)
Answer:
20
Step-by-step explanation:
To calculate f(2), just replace x in the equation of f(x) with 2:
[tex]f(x) = 5(x + 2)\\\\f(2) = 5(2+2)\\\\f(2) = 5(4)\\\\f(2) = 20[/tex]
vertical angles must : check all that apply
A. be complementary
B. have the same vertex
C. be congruent
D. be acute
Answer: B and C
Step-by-step explanation: For A, vertical angles can be complimentary or supplementary. For D, vertical angles can sometimes be acute but not always.
Simplify -2ab^3 (5a-4a^2 + 6ab^2 - 4b). ?
Answer:
10a^2b^3−8a^3b^3+12a^2b^5−8ab^4
Step-by-step explanation:
Which line is perpendicular to a line that has a slope of -5/6?
Answer:
Line LM
Step-by-step explanation:
First, we need to know what the slope is of a line that would be perpendicular to a line with a slope of -5/6. To find this, we take the reciprocal and multiply it by -1. Therefore, the line we are looking for needs to have a slope of 6/5.
Based on the fact that the slope is positive, we can eliminate lines PQ and JK as they have a negative slope. This leaves us with lines LM and NO.
To find out whether or not it is between LM and NO, you could eyeball it by looking at the graph and simply counting which might be faster if you understand how to do that (rise/run), or you can use the pair of coordinates given to you on each line to calculate for slope.
Line LM - [tex]\frac{-3-3}{-5-0}=\frac{-6}{-5}=\frac{6}{5}[/tex]
Line NO - [tex]\frac{-5-0}{-6-0}=\frac{-5}{-6}=\frac{5}{6}[/tex]
Based on this, we know that line LM is perpendicular to a line that has a slope of -5/6.
If you need help on calculating slope from two points, I'd suggest watching this video: https://www.brightstorm.com/math/algebra/linear-equations-and-their-graphs/finding-the-slope-of-a-line-from-2-points-problem-1/#:~:text=Use%20the%20slope%20formula%20to,second%20points%20are%20x2%2C%20y2.
63, 58, 57, 71, 54, 60 Calculate the coefficient of variation for the following data
Answer:
The coefficient of variation (CV)= 9.83
Step-by-step explanation:
look at the attachment above ☝️
How Do You Answer This Question
35. Use the Change of Base Formula to evaluate logs 92. Then convert logs 92 to a logarithm in base 3. Round to the n
2.810; log3 55.2
2.810; log3 21.903
1.964, log3 55.2
4.522; log3 21.903
(h+k)(1) is
(k-h)(4) is
(k/h)(3) is
(h•k)(0) is
(k •h)(0) is
(h•k)(3) is
h(k(-2))
Answer:
Step-by-step explanation:
(h+k)(1)=h(1)+k(1)=2+(-1)=2-1=1
(k-h)(4)=k(4)-h(4)=0-(-1)=1
(k/h)(3)[tex]=\frac{k(3)}{h(3)} =\frac{-1}{0} =- \infty[/tex]
(h.k)(0)=h(0).k(0)=3(-2)=-6
(k.h)(0)=k(0).h(0)=-2(3)=-6
(h.k)(3)=h(3).k(3)=0(-1)=0
h(k(-2))=h(-3)=0
