The three students have read a total of 950 pages combined.
To find out how many pages the three students have read combined, we need to add up the number of pages read by each student.
Let's label the students as A, B, and C and the number of pages they have read as a, b, and c, respectively. According to the given information, we have:
a = 350
b = 305
c = 295
To find the total number of pages read by all three students, we need to add up a, b, and c:
a + b + c = 350 + 305 + 295 = 950.
To find the total number of pages read by the three students, we need to add up the number of pages read by each student. This can be done by simply adding the values of a, b, and c. In this case, the total number of pages read by all three students is 950.
Learn more about students here:
https://brainly.com/question/17332524
#SPJ4
A farmer is purchasing feed for his chickens. Before tax, a large bag of chicken feed costs $35. The farmer wants to know the total price, including the 5% sales tax.
Pls Help
$36.75 is the price of chicken feed.
Given that,
A farmer is purchasing feed for his chickens. Before tax, a large bag of chicken feed costs $35. The farmer wants to know the total price, including the 5% sales tax.
To find tax:
5/100 * 35
*5% basically means 5 out of 100%.
The Tax is $1.75.
Then, to find the price of chicken feed, we add the tax with $35.
So...
1.75 + 35
=36.75
Answer:
$36.75
To learn more on percentage click:
brainly.com/question/13450942
#SPJ1
Jackie is using spherical beads to to create a border around a picture frame. Each bead has a diameter of 1.5 millimeters. It will take a total of 360 beads to create the border. What is the approximate total volume of the beads that form the border of the picture frame?
Answer:
Step-by-step explanation:
The diameter of each bead is 1.5 millimeters, which means the radius of each bead is 0.75 millimeters (since radius = diameter/2).
The volume of a sphere is given by the formula V = (4/3)πr^3.
Substituting the radius of each bead into the formula, we get:
V = (4/3)π(0.75)^3 ≈ 1.7671 cubic millimeters
To find the total volume of the 360 beads used to create the border of the picture frame, we can simply multiply the volume of one bead by the total number of beads:
Total volume = 360 × 1.7671 ≈ 635.76 cubic millimeters
Therefore, the approximate total volume of the beads that form the border of the picture frame is about 635.76 cubic millimeters.
A garden is sodded in the shaded portion below .How many square feet were covered with sod?It is 9 1/4 by 20 by 6
10 in 4 in Find the area. ¹8 in 1 12 in Area of Figure = Area of □ = 48 in² Area of A = [?] in² Remember: A₁ = bh in²
The figure is composed of a rectangle and a triangle, therefore, the area is calculated as: 96 square inches.
Area of the triangle = 48 square inches.
What is the Area of the Composite Figure?The composite figure is composed of a triangle and a rectangle. Therefore, we have:
Area = area of triangle + area of rectangle
Area of rectangle = length * width = 12 * 4 = 48 square inches.
Area of the triangle = 1/2 * base * height = 1/2 * 12 * 8 = 48 square inches.
The area of the composite figure = 48 + 48
= 96 square inches.
Learn more about area of composite figure on:
https://brainly.com/question/15981553
#SPJ1
A translation is shown on the grid below.
On a coordinate plane, triangle A B C has points (negative 4, 2), (negative 4, negative 2), (negative 1, negative 2). Triangle A prime B prime C prime has points (1, 5), (1, 1), (4, 1).
Which are true statements about the translation? Select 3 options.
A : The sides of the image and pre-image are congruent.
B : The image is turned 90°.
C : The angles in the image are different from the angles in the pre-image.
D: The image is a slide of the pre-image.
E: The image has a different shape than the pre-image.
F: Each point has moved in a different direction.
G: each point has moved the same number of units.
please answer asap thxxx :}
The correct statements regarding a translation are given as follows:
A : The sides of the image and pre-image are congruent.
G: each point has moved the same number of units.
What is a translation?A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.
The side lengths are not changed, hence the image and the pre-image are congruent. The angle measures are also not changed, hence the image and the pre-image are similar, and the shapes also remain constant.
For a translation, the movements have to be:
Same number of units.Same direction.More can be learned about translations at brainly.com/question/28174785
#SPJ1
The graph of f(x)= |x| is shifted to the right 3 units and stretched vertically by a factor of 4.
Write the function that describes the graph of the transformed function
100 points plus brainlyest to whoever answers quickest
If the function's f(x) = |x|, graph is shifted right by 3 units, and vertically stretched by a factor of "4", then function which best describes the transformed-function is 4|x-3|.
Let the transformed function be : g(x); The transformed function g(x) is obtained by applying two transformations to the original function f(x) = |x|.
The "first-transformation" is to make a "horizontal-shift" (right-shift) of 3 units. This means that the entire graph of the function is shifted to the right by 3 units, so, function becomes |x-3|.
The "second-trans-formation" is to stretch the graph vertically by a factor of 4. This means that the entire graph of the function is stretched vertically,
Now, the function becomes, g(x) = 4|x-3|.
Therefore, the transformed function is 4|x-3|.
Learn more about Function here
https://brainly.com/question/28623576
#SPJ1
PLEASE HELP ME I REALLY NEED TO GET MY GRADE UP I INCLUDED THE GRAPH WITH THE QUESTION!!!
Graph f(x) = -2/3x -3
Use the line tool and select two points to graph the line.
Answer:
(0, -3) and (3, -5)
Step-by-step explanation:
To graph the line of the equation f(x) = -2/3x - 3, we can choose any two points on the line. One way to do this is to find the y-intercept and another point using the slope of the line.
1. To find the y-intercept, let x = 0 and solve for y:
f(0) = -2/3(0) - 3 = -3
So the y-intercept is (0, -3).
2. To find another point, we can use the slope of the line, which is -2/3. We can start from the y-intercept (0, -3) and move down 2 units (since the slope is negative) and to the right 3 units (since the denominator of the slope is 3) to get another point on the line:
(3, -5)
So the two points we can use to graph the line are (0, -3) and (3, -5).
Directions: Rewrite each of the following using the powers of 10.
1) 79 x 10 =
2) 15 x 100 =
3) 22 x 1,000 =
4) 15 x 1,000 =
5) 83 x 102 =
6) 23 x 102 =
7) 72 x 102 =
8) 4 x 102 =
9) 75 x 102 =
10) 55 x 102 =
11) 81 x 103 =
12) 3 x 103 =
13) 81 x 103 =
14) 85 x 103 =
15) 98 x 10⁻1 =
16) 86 x 10⁻3 =
17) 65 x 10⁻2 =
18) 19 x 103 =
19) 3.49 x 109 =
20) 2.79 x 108 =
21) 8.42 x 107 =
22) 7.32 x 106 =
23) 3.84 x 105 =
24) 4.12 x 104 =
FUN FACTS:
103 = ONE THOUSAND
106 = ONE MILLION
109 = ONE BILLION
1012 = ONE TRILLION
1015 = ONE QUADRILLION
1018 = ONE QUINDRILLION
1021 = SEXTILLION
1024 = SEPTILLION
1027 = ONE OCTILLION
1030 = ONE NONILLION
The values of each number using power 10 is shown below.
1. 79 x 10
= 790
2. 15 x 100
= 1500
3. 22 x 1,000
= 22,000
4. 15 x 1000
= 15,000
5. 83 x 102
= 8,466
6. 23 x 10²
= 2300
7. 72 x 10²
= 7200
8. 4 x 10²
= 400
9. 75 x 10²
= 7500
10. 55 x 10²
= 5500
11. 81 x 10³
= 81,000
12. 3 x 10³
= 3000
13. 85 x 10³
= 85, 000
14. 98 x [tex]10^{-1[/tex]
= 9.8
15. 86 x [tex]10^{-3[/tex]
= 0.086
16. 65 x [tex]10^{-2[/tex]
= 0.65
17. 19 x 10³
= 19,000
18. 3.49 x [tex]10^{9[/tex]
= 349,000,000,000
19. 2.79 x [tex]10^{8[/tex]
= 27,900,000,000
Learn more about Exponent and power here:
https://brainly.com/question/15722035
#SPJ1
There are 5 men and 6 women interviewed for a job. One of the candidates will be offered the job. Find the probability that the job is offered to a man. Convert the fraction to a decimal. Round to three decimal places.
The calculated probability that the job is offered to a man is 0.455
Finding the probability that the job is offered to a man.From the question, we have the following parameters that can be used in our computation:
There are 5 men and 6 women interviewed for a job.
This means that
Men = 5
Women = 6
The probability that the job is offered to a man is
P = men/Total
So, we ave
P = 5/11
Evaluate
P = 0.455
Hence, the probability is 0.455
Read more about probability at
https://brainly.com/question/24756209
#SPJ1
Consider the problem: Viviana wants to buy a car. She has already saved $500, but needs a total of $1000. She will save $75 per week, \large w, from her pay checks until she has enough money to buy the car.
Which inequality will help her determine how many weeks, \large w, it will take her to save enough money to buy the car?
The inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.
Given that, Viviana saved $500, but she needs a total of $1000 to buy a car.
Viviana earns $75 per week.
Let number of weeks required to earn the required money be w.
Here, 500+75w≤1000
75w≤500
w≤500/75
w≤6.67
Therefore, the inequality represent the given situation is 500+75w≤1000 and the number of weeks required save enough money is 7 weeks.
To learn more about the inequalities visit:
https://brainly.com/question/20383699.
#SPJ1
hi please help me ill give brainliest
The maximum value of the function on the closed interval is 11
How to find the maximum valueGiven the function
f(x) = 2x + 5, with interval [-10, 3].
First need to find the critical points of the function within the interval and compare their values. The critical points occur when the derivative of the function is equal to zero or undefined.
first order derivative of f(x):
f'(x) = 2 ≠ 0 (no critical points)
Since the interval is bounded, the maximum value of the function occurs at either one of the endpoints or at a critical point outside the interval.
At x = -10,
f(-10) = 2(-10) + 5 = -15
At x = 3,
f(3) = 2(3) + 5 = 11
Therefore, the maximum value of f(x) on the closed interval [-10, 3] is 11, which occurs at x = 3.
Learn more about maximum value here:
https://brainly.com/question/30236354
#SPJ1
in how many ways can 4different prizes be givn to any 4 of 10 people if no person receives more than 1 prize?
There are 210 ways we can give 4 different prizes to any 4 of 10 people if no person receives more than 1 prize.
To calculate the number of ways we can do this, we can use the formula for combinations. The formula for the number of ways to choose r objects from a set of n objects is:
ⁿCₓ = n! / x!(n-x)!
where n! represents the factorial of n, which is the product of all positive integers up to n.
5! = 5 x 4 x 3 x 2 x 1 = 120.
In this problem, we want to choose 4 people from a set of 10, so we can use the formula:
¹⁰C₄ = 10! / 4!(10-4)!
Simplifying this expression, we get:
¹⁰C₄ = (10 x 9 x 8 x 7) / (4 x 3 x 2 x 1)
¹⁰C₄ = 210
To know more about combination here
https://brainly.com/question/28998705
#SPJ4
narrator that's right! there needs to be motivation to change for employees. so what can you ask the vp and analyst in the unfreezing stage in order to influence change? should we survey a sample set of employees at each of our locations to ask what they dislike about the current system? should we survey a sample set of employees at each of our locations to ask their opinions on whether we should change systems or not? should we mandate change now? should we even be changing?
It's crucial to take a collaborative approach and involve employees in the change process as much as possible.
In the unfreezing stage, it is important to gather information and input from various stakeholders in order to influence change effectively. Therefore, asking the VP and analyst questions such as "What do you think are the areas that need improvement in our current system?" or "How do you think changing the system would benefit our organization?" can provide valuable insight into the motivation for change.
Surveying a sample set of employees at each location to ask their opinions on the current system and whether they think changes are necessary is also a good approach. This can help to identify common pain points and gauge the level of employee buy-in for potential changes. It's important to also consider other factors such as the cost and feasibility of implementing changes, as well as potential risks and benefits.
Mandating change without proper analysis and buy-in from employees may lead to resistance and resentment. Ultimately, the decision to change or not should be based on a thorough assessment of the situation, including feedback from stakeholders and the potential impact on the organization.
Learn more about stakeholders here:
https://brainly.com/question/30463383
#SPJ4
A group of physical education majors was discussing the height of female runners and whether female runners tended to be tall, on the average. They decided to estimate the mean height of female runners. A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches. Assume the population is approximately normal. Construct a 90% confidence interval for the mean of the population of female runners from which the 12 runners were selected.a) What is the left boundary of the confidence interval? Round your answers to two decimal placesb) What is the right boundary of the 90% confidence interval? Round your answers to two decimal places
Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.
a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.
The left boundary of the confidence interval is:
65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)
b) The right boundary of the confidence interval is:
65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)
To know more about confidence interval,
https://brainly.com/question/24131141
#SPJ11
find the area and perimeter
The area and perimeter of the shape are 370mm² and 90mm respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Perimeter is the addition of the sides of the shape.
Therefore, the perimeter of the shape = 15+15+30+30 = 30+60 = 90mm
The area of the shape = area of the whole shape - area of the cut out
area of the whole shape = l×w
= 30×15 = 450mm²
area of the cut out =l×w
8× 10 = 80mm²
area of the shape = 450-80
= 370mm²
learn more about area and perimeter from
https://brainly.com/question/19819849
#SPJ1
X~N(570, 103). Find the z-score corresponding to an observation of 470.A. 0.97 B. -0.97 C. 0.64 D. -0.64
Option B To find the z-score corresponding to an observation of 470, we use the formula: z = (x - μ) / σ
where x is the observation, μ is the mean, and σ is the standard deviation. Substituting the values given in the question, we get: z = (470 - 570) / 10.1489.
z = -9.84, Therefore, the z-score corresponding to an observation of 470 is -0.97, which is option B.
By summing all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined.
A data collection is ordered from least to largest, and the median is the midpoint number. A data set's mode is the number that appears the most frequently. Sal Khan invented it.
To know more about value click here
brainly.com/question/30760879
#SPJ11
Q1.
Draw and label the axis of symmetry for the given object and image.
The axis of symmetry for the given object and image is added as an attachment
Drawing and labeling the axis of symmetryFrom the question, we have the following parameters that can be used in our computation:
The object and the image
By definition, the axis of symmetry is any line that divides a shape and its image into symmetrical parts i.e. into identical shapes and sizes
In this case, the axis of symmetry would be a vertical line that divides both triangles in to identical figures
Using the above definition as a guide, we can draw the axis of symmetry for the object and image & then label it AB
Read more about axis of symmetry at
https://brainly.com/question/28180581
#SPJ1
I need this done right now please write the equation
Answer:
y = -6x +3
Step-by-step explanation:
You want the slope-intercept equation matching the given graph.
GraphThe line on the graph crosses the y-axis at the marked point (0, 3). Another point is marked at (1, -3), which is 1 unit right and 6 units down.
The first point tells you the y-intercept (b) is +3.
The second point tells you the slope (m) is rise/run = -6/1 = -6.
Then the point-slope equation is ...
y = mx + b
y = -6x +3
<95141404393>
Calculator What is the value of b? Enter your answer in the box. b= 16 34 b
Answer:
Step-by-step explanation:
Use pythagorean the hypotenuse is always across from th right angle and is the longest in a right triangle
34² = 16² + x²
1156 = 256 + x² bring 256 over to other side by subtracting
900 = x² take square root of both sides to solve for x
x = 30
Answer:
value of b = 30Step-by-step explanation:
In the given figure,
34 is Hypotenuse i.e the largest side
16 is perpendicular
b = Base
Using Pythagoras theorem,
(Hypotenuse)² = (Perpendicular)² + (Base)²
(34)² = (16)² + (b)²
1156 = 256 + b²
1156 - 256 = b²
900 = b²
b = √900
b = 30
Therefore, Value of b is 30.
HELP!! determine asymptotes, intercepts, and multiplicities!!
Answer:
In the numerator:
2x^2 + 3x - 20 = (2x - 5)(x + 4)
- no asymptotes
- x-intercept is at x = 2.5 (since there is a hole at x = -4)
- y-intercept is at y = -5
the variable which is being forecasted is referred as:endogenous variableindependent variableexplanatory variableexogenous variable
The variable which is being forecasted is referred as option A: endogenous variable.
A variable in a statistical or economic model that is explained by or determined by other variables inside the model is known as an endogenous variable. In other words, the endogenous variable's value depends on the values of other model variables.
Exogenous variables are often thought of as external or independent factors that may have an impact on endogenous variable values but are not directly impacted by them. A variable that is used to predict or explain the values of another variable, also known as the dependent variable, is known as an explanatory variable.
To know more about endogenous variables, refer:
https://brainly.com/question/29856090
#SPJ4
Correct question:
The variable which is being forecasted is referred as:
endogenous variable
independent variable
explanatory variable
exogenous variable
Which statements are true about these lines? Select 3 options
The true statements of the given lines are:
Line SW has an undefined slope Line TV has a slope of 0 Lines RS and TV are parallel What is an undefined slope ?An undefined slope pertains to the gradient of a line that is vertical, consequently extending straightly up and down on a graph as demonstrated by Line SW. On the other hand, a slope with no incline (0) imparts the trait of an even horizontal line, which advances in a steady left-right formation on a graph like that of Line TV.
Additionally, parallel lines are two non-intersecting turns in a plane that never meet, regardless of how far they may progress. In this respect, Lines RS and TV remain perpetually parallel.
Find out more on undefined slopes at https://brainly.com/question/29334263
#SPJ1
For the function -3x^2+12
find the interval(s) over which the function is decreasing.
To find the interval(s) over which the function -3x^2+12 is decreasing, we need to find the critical points of the function and test the sign of the derivative on either side of these points.
The derivative of the function -3x^2+12 is -6x.
Setting the derivative equal to zero to find the critical points:
-6x = 0
x = 0
Testing the sign of the derivative on either side of x = 0:
-6x is negative for x > 0, meaning the function is decreasing on the interval (0, infinity).
-6x is positive for x < 0, meaning the function is increasing on the interval (-infinity, 0).
Therefore, the interval over which the function -3x^2+12 is decreasing is (0, infinity).
C. The painting American Gothic by
Grant Wood is rectangular in shape
and measures 29"in height and 25"
in width. A reproduction is made
where each dimension is some
fraction of the original dimension. If
the reproduction has 1/9 of the
original area, what is the width of
the reproduced piece?
the width of the reproduced piece is 2.78 inches.
Now, we first need to find the original area of the painting.
Since, The original area is,
= 29 inches x 25 inches
= 725 square inches
Now. we know that the reproduction has 1/9 of the original area, which means that the area of the reproduction is:
= 725 square inches / 9
= 80.56 square inches
Hence, for the width of the reproduced piece, we need to find the width of a rectangle whose area is 80.56 square inches, given that the height is 29 inches which remains constant in the reproduction.
Hence, We can use the formula for the area of a rectangle,
Area = length x width
In this case, we know the area is, 80.56 square inches)
and the length is, 29 inches
Thus, we can solve for the width:
80.56 square inches = 29 inches x width
width = 2.78 inches
Thus, the width of the reproduced piece is 2.78 inches.
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ1
I need some help on this question would really appreciate it
The equation of the line in slope - intercept form, given the two points, would be D. y = - 10 / 3 x - 2 / 3.
How to find the slope - intercept form ?First, write out the points on the graph to be ( -2, 6 ) and ( 1, - 4 ) .
The slope would be:
= (change in y) / (change in x)
= (-4) - 6 / 1 - (-2)
= - 10 / 3
Use a point to find the y - intercept in the form:
y = mx + b
6 = - 10 / 3 ( - 2 ) + b
b = - (2/3)
The equation then is :
y = - 10 / 3 x - 2 / 3
Find out more on equations at https://brainly.com/question/1884491
#SPJ1
in a school of 225 students 80 of them study Arabic only and 125 study french.
each students studies at least one of the two subjects
draw a Venn diagram to represent the information
how many study
i both subject
ii french
The requried number of students that study both language and French is 20 and 145 respectively.
From the information given, we know that:
The total number of students is 225.
80 students study Arabic only.
125 students study French (which includes some who also study Arabic).
To find the number of students who study both subjects, we can subtract the number of students who study Arabic only from the total number of students who study French:
= 225 - 80 -125
= 20
Now the number of students who study French is given as:
= 20 + 125
= 145
Thus, the requried number of students that study both language and French are 20 and 145 respectively.
Learn more about the Venn diagram here:
https://brainly.com/question/29301560
#SPJ1
In statistics, a series of random events in which the probability of a given event is determined only by its predecessors is known as a "chain" named after what Russian mathematician?
In statistics, a series of random events in which the probability of a given event is determined only by its predecessors is known as a "chain". This concept is attributed to the Russian mathematician Andrey Markov, and such chains are commonly referred to as Markov chains.
Markov chains have important applications in many areas of science and engineering, including physics, economics, genetics, and computer science. They are used to model a wide range of phenomena, including the behavior of financial markets, the spread of diseases, the performance of computer networks, and the evolution of populations.The basic idea behind a Markov chain is that the future state of the system depends only on the current state, and not on any previous states. The probability of transitioning from one state to another is determined by a transition matrix, which specifies the probabilities of moving from one state to another in a single time step.
Learn more about probability here, https://brainly.com/question/13604758
#SPJ11
Harden is building shelves for his comic book collection. He has a piece of wood that is 3.5 feet long. After cutting four equal pieces of wood from it, he has 0.6 feet of wood left over.
Part A: Write an equation that could be used to determine the length of each of the four pieces of wood he cut
Part B: Explain how you know the equation from part A is correct
Part C: Solve the equation from Part A. Show every step of your work.
The length of each piece of wood is 0.725 feet.
We are given that the Length= 3.5feet
Now,
This is a word problem that can be solved by using algebra and arithmetic.
Part A: Let x be the length of each of the four pieces of wood he cut. Then, according to the problem, we have:
4x + 0.6 = 3.5
This is the equation that could be used to determine the length of each piece of wood.
Part B: We know the equation from part A is correct because it represents the total length of the wood before and after cutting. The left side of the equation is the sum of the lengths of the four pieces of wood and the leftover piece of wood. The right side of the equation is the original length of the wood. Since cutting does not change the total length of the wood, these two sides must be equal.
Part C: To solve the equation from part A, we need to isolate x by using inverse operations. We get:
4x + 0.6 = 3.5 4x = 3.5 - 0.6 (subtract 0.6 from both sides) 4x = 2.9 x = 2.9/4 (divide both sides by 4) x = 0.725
Therefore, by the algebra the answer will be 0.725 feet.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
you may use your xl data analyst software to generate a sample size, but you must estimate p and specify your allowable error. true false
The statement is true. In order to generate a sample size using XL data analyst software, you must first estimate the population proportion (p) and specify your allowable margin of error.
Estimating p involves making an educated guess about the proportion of the population that possesses a certain characteristic or meets a certain criteria. This estimation can be based on prior research, historical data, or your own observations. It is important to note that your estimation of p will affect the size of your sample, with a larger sample size needed for smaller values of p.
Know more about the proportion
https://brainly.com/question/1496357
#SPJ11
plsss help!!
Which list is ordered from least to greatest?
L) 72.14
M) 723.99
N) 7.323
0) 7.358
P) 91.34
A) M,L,P,N,O
B) N,O,P,L,M
C) N,O,L,P,M
D) L,M,P,N,O
Answer:
C
Step-by-step explanation:
7.3<7.4<72.14<91.34<723.99
