Answer: 9 students will be on a bus that is not full
Step-by-step explanation:
123/38 = 3.23684210526 = 3 bus that is full.
38 x 3 = 114, 123 - 114 = 9
So, 9 students will be on a bus that is not full while the other 3 bus will be full of students.
Answer:
there will be nine students in the bus that is not full.
Step-by-step explanation:
if each bus holds 38 in your first bus you have 38 and then there are 85 students left so in the second bus there are also 38 and you should have 47 students left that need to go in a bus so then again in bus 3 there are also 38 which means in the fourth/last bus there are only 9 students left
suppose apple has collected extensive survey data about its new iphone, and respondents have rated it on 20 different features and benefits. now researchers want to reduce the amount of data to a few underlying dimensions. which data analysis technique should the researchers use?
In the provided problem of collection survay data the researchers use the Cluster Analysis data analysis techniques.
Cluster analysis is a statistical technique for processing data. It works by organizing items into groups or clusters based on how closely related they are.
Cluster analysis, similar to reduced-space analysis (factor analysis), deals with data matrices in which the variables have not been previously split into reference and prediction subsets. The goal of cluster analysis is to find similar groups of subjects. Here, “similarity” between each pair of subjects means a global measure of the entire set of traits.
The most common use of cluster analysis is classification. Subjects are divided into groups such that each subject is more similar to other subjects within that group than subjects outside the group.
Cluster analysis used in following areas
In the context of market research, this can be used to identify categories such as age ranges, income ranges, urban, rural, or suburban locations.
Marketing can use cluster analysis for audience segmentation to target different customer groups with the most relevant messages.
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What is the slope of the line that passes through the points(7,-4) and (11, –4)? Write your answer in the simplest form.
Which is the regression equation for a scatterplot with these points rounded to the nearest tenth: (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10,
110)?
O a y=13.4x-11.1
Ob y=-13.4x+8,432.27
Oc
Od y=11.1x-13.4
y=-11.1x +9,376.90
The regression equation for a scatterplot with these points is y=13.4x-11.1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given the point (4, 35), (6.5, 92), (2, 10), (5, 50), (6, 85), (10, 110)
First we need to find the slope.
The formula to calculate the slope between two points is;
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Now substitute the values
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
m = ( 92 - 35 ) / ( 6.5 - 4)
m = 13.4
Find the equation of the line in slope intercept form;
y = mx + c
we have
y = 13.4x + c
Then 35 = 13.4(4) + c
c = -11.1
therefore
y = 13.4x-11.1
The regression equation for a scatterplot with these points is y=13.4x-11.1
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the number of violent crimes committed in a day possesses a distribution with a mean of 4.9 crimes per day and a standard deviation of 3 crimes per day. a random sample of 100 days was observed, and the mean number of crimes for the sample was calculated. describe the sampling distribution of the sample mean.
the sampling distribution of the sample means is 0.03
According to the central limit theorem (n>= 30), the sampling distribution of the sample mean is approximately normal with a mean of 4.9 and a standard deviation of 3.
So:
x = standard dev/sample size
= 3 / 100
= 0.03; it is normal due to its large sample size.
Distribution is the technique of promoting and handing over services and products to clients. The term is related to marketing channels that are used to reach customers in special methods and exceptional areas. distribution characteristic, a mathematical expression that describes the chance that a machine will take on a particular value or set of values. The traditional examples are related to games of hazard.
distributing objects is an act of spreading them out similarly. Algebraic distribution method to multiply every one of the phrases inside the parentheses by way of another time period this is outside the parentheses. To distribute a term over several different terms, you multiply each of the alternative phrases by the primary term. the statistical distribution suggests which values are common and uncommon. there are numerous styles of statistical distributions, along with the bell-shaped everyday distribution.
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What is the solution to the equation 6x−5=15, given the replacement set {56, 53, 103} ?.
The solution of the given equation is x = 10/3
The replacement value is 10/3.
This is incorrect question
Correct question is :
What is the solution to the equation 6x−5=15, given the replacement set {5/6, 5/3, 10/3}
Given,
In the question:
The equation is given as:
6x - 5 = 15
To find the solution of the given equation.
Now, According to the question:
The equation is:
6x - 5 =15
Combine the like terms:
6x = 15 + 5
6x = 20
x = 20 /6
x = 10/3
Hence, The solution of the given equation is x = 10/3
The replacement value is 10/3.
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We wish to evaluate the limit: we see that the limit above results in the indeterminate form a. b. c. d. e. upon repeated application of l'hopital's rule we see that the limit above is equivalent to where it then follows that type inf for the infinity symbol. type - inf for negative infinity type dne for does not exist
The intermediate form for the limit , [tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ is ∞/∞
Given,
The limit ; [tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex]
L'Hospital's rule;
A general technique for assessing indeterminate forms like 0/0 or / is the L'Hospital rule. L'Hospital's rule is applied to calculate the limits of indeterminate forms for calculus derivatives. It is possible to use the L Hospital rule many times.
By using L'Hospital's rule the intermediate form is;
[tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex] = [tex]\lim_{x \to \infty}[/tex] e²∞/ ∞⁵
[tex]\lim_{x \to \infty} \frac{e^{2x} }{x^{5} }[/tex] = [tex]\lim_{x \to \infty}[/tex] e∞/∞
[tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ = [tex]\lim_{x \to \infty}[/tex] 2e²ˣ / ∞
[tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ = [tex]\lim_{x \to \infty}[/tex] 2e∞/∞ = ∞/∞
That is,
The intermediate form for the limit , [tex]\lim_{x \to \infty}[/tex] e²ˣ/x⁵ is ∞/∞
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A group of people walked 62 miles in 1 week and 58 miles in week 2. in week three they waled 14 miles less during week 2. how many miles did the group walk in 3 weeks
Answer:
Step-by-step explanation:
The of miles the group walked in 3 weeks is 44 miles
What is proportion?
Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
• in 1 week people walked 62 miles
• in the second week reduced to 58 miles
• in week 3 they walked 14 fewer miles during week 2
to determine the many miles did the group walk in 3 weeks, we can reduce
58 miles - 14 miles less during week 2
=44 miles.
so, number of miles the group walked in 3 weeks is 44 miles.
1) What is the equation of the line perpendicular to y = (1/2)x - 2 that
contains the point (2, 5)?
y-5= -2(x - 2)
y-5=-1/2(x - 2)
y-2=-2(x - 5)
y- 5 = 1/2(x - 2)
Answer:
(a) y -5= -2(x -2)
Step-by-step explanation:
You want the equation of the line perpendicular to y = (1/2)x - 2 that contains the point (2, 5).
Perpendicular linesPerpendicular lines have slopes that are opposite reciprocals of one another. The slope of the given line is the x-coefficient: 1/2. Its opposite reciprocal is ...
-1/(1/2) = -2
Point-slope equationThe point-slope equation of a line is ...
y -k = m(x -h) . . . . . . . . line with slope m through point (h, k)
You want a line with slope -2 through point (2, 5), so its equation is ...
y -5 = -2(x -2)
Rama is stringing beads whose lengths are each 0.19 inches. How can rounding be used to estimate the length of a row of 9 beads?
Rama had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.
Rama is stringing beads whose lengths are each 0.19 inches.
A bead's length is 0.19 inches, which is approximately 0.2 inches. If the row has 9 beads, we must double the length of each bead by the number of beads. Therefore
Because the beads are approximately 0.20 inches in length, the length of a row of 9 beads is
will be approximately 9 × 0.20 = 1.80 inches.
Thus, if she had used 0.10 as an approximation for the length of each bead, the row would have been too short and would have dropped outside of the allowed length range.
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Do You Understand?
1.8
? Essential Question How can you use
the properties of operations to multiply linear
expressions?
It is possible to multiply or divide an equation by the same number on each side of the equation without changing the answer, according to the "multiplication property" of the equation.
How can you use the properties of operations to multiply linear expressions?
According to the equation's "multiplication property," it is possible to multiply or divide an equation by the same number on each side of the equation without changing the equation's outcome. The result of multiplying two terms with two different signs will be negative, while the product of two factors with the same sign will be positive. If a and b are positive integers and x is a variable, then (xa * xb) = x(m + n). The identity, commutative, associative, and distributive properties of multiplications are four properties that can facilitate the process. They offer guidelines for solving multiplication problems quickly using properties that always hold true for particular equations.
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A volunteer knit a 5-foot long carf at a contant rate. After 4 hour, the volunteer till ha to knit 3 feet of the carf. How much time doe it take to knit the carf from tart to finih?
The time taken to knit the scarf form start to finish is 10 hours .
In the question ,
it is given that ,
the total length of the scarf = 5 foot
After 4 hour, the volunteer still has to knit 3 feet, which means
time taken by volunteer to knit 2 feet scarf = 4 hours
So , the time taken by volunteer to knit 1 feet scarf = 4/2 = 2 hours .
hence , the the time taken by volunteer to knit the 5 feet scarf is calculated by using the formula
= 5 × (time taken to knit 1 feet)
= 5 × (2)
= 10 hours .
Therefore , The time taken to knit the scarf form start to finish is 10 hours .
The given question is incomplete , the complete question is
A volunteer knit a 5-foot long scarf at a constant rate. After 4 hour, the volunteer still has to knit 3 feet of the scarf. How much time does it take to knit the scarf from start to finish ?
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FOR BRAINLIEST!
pls answer asap
check the directions too pls
Answer:
1.a) Broken line.
1.b) False.
2.a) Solid line.
2.b) True.
Step-by-step explanation:
When graphing inequalities:
< or > : broken line.≤ or ≥ : solid line.< or ≤ : shade under the line.> or ≥ : shade above the line.Question 1Given inequality:
[tex]y > -2x+4[/tex]
a) As the "<" sign has been used, the line will be a broken line.
b) Substitute (0, 0) into the inequality:
[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 0 & > -2(0)+4\\0 & > 0+4\\0 & > 4\end{aligned}[/tex]
As zero is not greater than 4, the solution at (0, 0) is false.
Graphing the inequality
Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:
[tex]\begin{aligned}x=-2: \quad y & =-2(-2)+4\\y &=4+4\\y&=8\end{aligned}[/tex]
[tex]\begin{aligned}x=4: \quad y & =-2(4)+4\\y &=-8+4\\y&=-4\end{aligned}[/tex]
Plot the points (-2, 8) and (4, -4).
Draw a broken straight line through the points.
Shade above the line.
Question 2Given inequality:
[tex]3x+2y \leq 6[/tex]
a) As the "≤" sign has been used, the line will be a solid line.
b) Substitute (0, 0) into the inequality:
[tex]\begin{aligned}\textsf{When $x=0$ and $y=0$}: \quad 3(0)+2(0) & \leq 6\\0+0 & \leq 6\\0 & \leq 6\end{aligned}[/tex]
As zero is less than 6, the solution at (0, 0) is true.
Graphing the inequality
Change the inequality sign to an equals sign, then substitute two values of x into the equation and solve for y to find two points on the line:
[tex]\begin{aligned}x=-2: \quad 3(-2)+2y & =6\\-6+2y&=6\\2y&=12\\y&=6\end{aligned}[/tex]
[tex]\begin{aligned}x=4: \quad 3(4)+2y & =6\\12+2y&=6\\2y&=-6\\y&=-3\end{aligned}[/tex]
Plot the points (-2, 6) and (4, -3).
Draw a solid straight line through the points.
Shade below the line.
The diagram shows a prism.
0.5m
front
2m
0.5m
2m
2m
side
front elevation
Draw the front elevation and the side elevation
of the prism on the grids.
Use a scale of 2 squares to 1 m.
The front and side elevation diagram along with the diagram given in question is attached with the answer.
What is elevation?
A location's elevation can be defined as its height above or below a fixed reference point, most frequently a reference geoid, a mathematical representation of the Earth's sea level as an equipotential gravitational surface (see Geodetic datum Vertical datum). In most cases, elevation is used to describe locations on the surface of the Earth, whereas altitude or geopotential height is used to describe locations above the surface, such as those of flying airplanes or orbiting satellites, and depth is used to describe locations below the surface.
Drawing the required Elevation Using the Construction Method
The scale is 2 squares to 1 meter.
16 squares total make up the plane on which the front elevation is to be drawn.
Front elevation: There are 4 squares across the front elevation's width.
4 + 1 squares make up the portion of the front closest to the observer.
The slant surface of the has a square count of 3 by 4 squares.
Side elevation: By following the same format as before, the side elevation is provided as follows;
The lower side of the side elevation's breadth is 2 meters wide, or 4 squares.
The side elevation's height is 2 meters, or 4 squares.
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Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?
three-twelfths pounds
eleven-twelfths pounds
one and two-twelfths pounds
one and seven-twelfths pounds
The pounds of chocolate chips that were left is B. eleven-twelfths pounds
How to calculate the fraction?Given that Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins
The fraction left will be:
= Total pounds bought - The amount used
= 7 1/2 - (3 3/4 + 2 5/6)
= 7 1/2 - (3 9/12 + 2 10/12)
= 7 1/2 - 6 7/12
= 11/12
In conclusion, the correct option is B.
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what is the 60th percentile of breaking strength for this type of fishing line? round your answer to 2 decimal places.
the 60th percentile of breaking strength for this type of fishing line is
k= 6.64
assume that k pounds is the both percentile of breaking strength for this type of finishing line
p( x<k) = 0.60
p( x- 6.44/0.75 < k- 6.44/0.75)= 0.60
then k-6.44 /0.75 = 0.26
thus k= 6.64
Hence , the 60th percentile of breaking strength for this type of fishing line is 6.64
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According to Andrew Cohen, how does the Texas Code of Judicial Conduct affect judicial campaigns? A. It generally causes judges to refuse to accept contributions from interest groups during their campaigns. B. It generally causes judges to refrain from discussing their political ideology or opinions about cases during their campaigns. C. It generally fails to prevent judges from accepting contributions from interest groups during their campaigns. D. It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.
As the act of Texas Code of Judicial Conduct affect judicial campaigns, the correct statement is "Option D. It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.".
Texas code
Texas code refers the compilation of all state agency rules in Texas. In this one, there are 17 titles in the TAC. And each title represents a subject category and related agencies are assigned to the appropriate title.
Given,
Here we need to find how does the Texas Code of Judicial Conduct affect judicial campaigns.
According to the Andrew Cohen,
The correct statement in this one is,
Option D:
It doesn't have much of an effect on political activity during judicial campaigns, since judges still discuss their political ideology.
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1/2 inch equals 1 foot and if the pool is 34 feet long what is the measurement shown on the blueprint
the following table shows how a certain man spent his 1992 annual salary rent=18% savings=12% maintenance=25% food=30% taxes=5% others=10% a) represent this information on the pie chart b) find his savings at the end of the year if his annual salary was gh¢6,000.00
a) The pie chart that represents this information is given at the end of the answer.
b) The amount that represents his savings is of: gh¢ 720.
What is a pie chart?A pie chart is a graph in which the values of each measure in the data-set assume a percentage equivalent to the percentage of these values in the circular graph.
In the context of this problem, these percentages are given as follows, as stated from the text:
Rent: 18%.Savings: 12%.Maintenance: 25%.Food: 30%.Taxes: 5%.Others: 10%.All these percentages are inserted on the image given at the end of the answer, which represents the pie chart.
The percentage of savings is of:
12%.
Hence the amount of savings is given by the multiplication of 0.12 by 6,000. as follows:
0.12 x 6000 = gh¢ 720.
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You fill up your car with 15 gallons of gasoline. How many pounds does the gasoline weigh?
Hint: (15 gal) (x qt/gal) (y pt/ qt) (z lb/pt)
When You fill up your car with 15 gallons of gasoline. then it weighs 90 pounds of weight.
What is Weight?the weight of an object is the force acting on the object due to gravity.
Given
A car with 15 gallons of gasoline is filled.
We need to find the weight of the gasoline
We know that 1 gallons of gasoline is 6 pounds
So now for 15 gallons will be fifteen times of 6 pounds
15×6
90 pounds
90 pounds is the weight of the gasoline.
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For each situation below, find the unit rate
Drag each situation on the left to the unit rate on the right
Questions: Choices:
Ricky spent $15.00 on 4 pizzas $8.00
William paid $20.00 for 2 1/2 pounds of blackberries $13.50
$3.75
The unit rate of Ricky purchase is $3.75 per pizza.
The unit rate of William purchase is $8 per pounds of blackberries.
What is unit rate?Unit rate is the ratio of two different units, with denominator as 1.
In other words, a unit rate is a rate where the second quantity is one unit , such as $10 per pound, 30 miles per hour, 22 Indian Rupees per Nigerian naira, etc.
Let's find the unit rate of the situations.
Ricky spent $15.00 on 4 pizzas
unit rate = 15 / 4
unit rate = 3.75 dollars per pizza
William paid $20.00 for 2 1/2 pounds = 5 / 2 pounds of blackberries.
Therefore,
unit rate = 20 ÷ 5 / 2
unit rate = 20 × 2 / 5
unit rate = 40 / 5
unit rate = 8 dollars per pounds of blackberries
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A rectangular box has a square base. The combined length of a side of the square
base, and the height is 20 in. Let x be the length of a side of the base of the box.
a. Write a polynomial function in factored form modeling the volume V of the box.
b. What is the maximum possible volume of the box?
c. Explain how you found the maximum possible volume.
A) A polynomial function in factored form modeling the volume V of the box is; V(x) = x²(20 - x)
B) The maximum possible volume of the box is; 1185.19 in³
C) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.
How to Maximize Volume?The formula for volume of a rectangular box is;
V =L * W * Height
Where;
L is length
W is width
H is height
We are given;
Height; h
Square base and so;
L = W = x
Thus, the volume is;
V = (x)(x)(h)
The combined length of a side of the square base and the height is 20 in. Thus; x + h = 20
h = 20 - x
Thus, volume is;
V(x) = x²(20 - x)
2) The expanded form of the volume is; V(x) = 20x² - x³
dV/dx = 40x - 3x²
The function has maxima and minima when dV/dx = 0. Thus;
40x - 3x² = 0
Solving for x gives;
x = 0 or 40/3
Maximum possible volume is;
V(40/3) = 20(40/3)² - (40/3)³
V(40/3) = 1185.19 in³
c) The way the maximum possible volume is found is by finding the derivative and equation to zero. Thereafter, we substitute the value into the first equation.
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Please provide explanation.
Answer:
100 square meters
Step-by-step explanation:
[tex] {x}^{2} + 6x + 8x = 240[/tex]
[tex] {x}^{2} + 14x = 240[/tex]
[tex] {x}^{2} + 14x - 240 = 0[/tex]
[tex](x - 10)(x + 24) = 0[/tex]
[tex]x = 10[/tex]
x = -24 will not work (it is extraneous).
[tex] {x}^{2} = 100[/tex]
So the area of the square region is 100 square meters.
What is the additive inverse of the complex number 13 â€"" 2i? â€""13 â€"" 2i â€""13 2i 13 â€"" 2i 13 2i
The additive inverse of the mentioned complex number is -13 + 2i.
The additive inverse of any number is defined as the number, which on addition to the original number, gives the sum zero. In order to make possible this situation, the additive inverse will have opposite signs for each value.
In the question, 13 has positive sign and 2i has negative sign. To cancel them out, the additive inverse will be 13 with negative sign and 2i with positive sign. Thus, third option is correct additive inverse.
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The complete question is -
what is the additive inverse of the complex number 13 - 2i?
-13 - 2i
-13 + 2i
13 - 2i
13 + 2i
Can someone tell me the answer to this question
Answer: option 2
Step-by-step explanation:
The leading coefficient is positive and the degree is odd, so the correct answer is option 2.
Help really bad !!. I don’t understand for some reason
Answer:
x=-20
y=10
z=-19
Step-by-step explanation:
It is given that the shape is a rhombus, which means all four sides are equal. This means we can set up the equations:
5y-4=46 --> 5y=50 --> y=10
-2x+6=46 --> -2x=40 --> x=-20
-2z+8=46 --> -2z=38 --> z=-19
Randy is installing PVC tiles to cover his garage floor. The width of the garage is 6 feet more than half the length, l . The perimeter of the garage is 313 times the length. If the PVC tiles cost $2.75 per square foot, what is the total cost of the materials? Enter your answer in standard form.
To cover the area of floor, we will spend $0.65 for the entire 0.23 squared feet
Perimeter of RectanglePerimeter of Rectangle could be considered as one of the important formulae of the rectangle. It is the total distance covered by the rectangle around its outside. A rectangle is a quadrilateral that has two pairs of parallel sides equal and all the four angles at the vertices are right angles.
The formula of perimeter of a rectangle is given as
P = 2(L + W)
P = Perimeter of rectangleL = length w = width.But the width the rectangle is 6 feet more than half it's length.
W = 6 + 1/2L
If the perimeter is 313 times the length;
P = 2(L + W)
P = 2(L + 6 + 1/2L)
But P = 313L
313L = 2(L + 6 + 1/2L)
313L = 2L + 12 + L
313L = 3L + 12
310L = 12
L = 12 / 310
L = 0.039 ft
The length of rectangle is 0.039ft
The width of the rectangle is 6 + 1/2(0.039) = 6.0195ft
The perimeter of the rectangle = 2(L + w)
Perimeter = 2 (0.039 + 6.0195)
Perimeter = 12.117ft
The area of the rectangle is L * w
A = L * W = 0.039 * 6.0195
A = 0.234ft^2
The cost of the materials will be 2.75 * 0.234 = $0.65
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There was a trucking strike that caused a prime ingredient in your menu item to shoot up 17%. You were paying $12 per package. How much will you have to increase the price of the menu item if you wish to maintain your current dollar profit margin on the menu item?.
The amount that we have to increase the price to maintain your current dollar profit margin is $2.04 , the correct option is (a) .
In the question ,
it is given that ,
there is a trucking strike that causes the increase in the price ,
the percent increase in the price of the ingredient = 17% .
the current cost of the package = $12 ,
the increases in price of the ingredient = 17% of 12
= 0.17 × 12 ......because 17% = 0.17
= 2.04
the increase is $2.04 .
Therefore , The amount that we have to increase the price to maintain your current dollar profit margin is $2.04 , the correct option is (a) .
The given question is incomplete , the complete question is
There was a trucking strike that caused a prime ingredient in your menu item to shoot up 17%. You were paying $12 per package. How much will you have to increase the price of the menu item if you wish to maintain your current dollar profit margin on the menu item ?
(a) $ 2.04
(b) $6.37
(c) $7.15
(d) $9.44
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In the figure below, m1 equals (x-9) degrees, and m2 equals 8x degrees. Find the angle measures.
Answer: m1=2 and m2=88
Step-by-step explanation:
90=x-9+8x
99=9x
x=11
6. Choose the correct answer.
Which theorem or postulate could be used to prove the congruence of the pair of triangles?
Answer: SAS (Side angle side)
when was the titanic sunk, how many people died how many survived and what were some of their names
Answer: 1,500 people died and there names were. John Jacob Astor, Archibald Gracie IV, W. T. Stead, Noël Leslie, Thomas Andrews, Margaret Brown and John Thayer
Step-by-step explanation:
The Titanic — billed as an unsinkable ship — hit an iceberg and sank on April 15, 1912. Over 1,500 people died in the maritime disaster, while 705 individuals survived.