Answer:
a) Please find attached the created dot plot
b) Please find attached the created histogram
c) The dot plot
Step-by-step explanation:
The given data on the responses to the question on "How hot is the side walk, during the school day", is presented as follows;
92, 95, 95, 95, 98, 100, 100, 100, 103, 105, 105, 111, 112, 115, 115, 116, 117, 117, 118, 119, 119, 119, 119, 119, 119
Given that manner of construction of the dot plot and the histogram, the display of the results are similar, however, due to the low frequencies of the data, the dot plot provides a view that allows quicker and clearer understanding of the data
The steepness of a road is called its grade. The higher the grade, the steeper the road is. For example, an interstate highway is considered out of standard if its grade exceeds 7%. Interpret a grade of 7% in terms of slope. Use feet to explain the meaning for a driver.
Answer:
A grade of 7% = 7 / 100 ;
This means that the elevation or vertical heighy of the interstate highway changes 7 feets for every 100 feets of horizontal distance moved
Step-by-step explanation:
Given that :
A road has a grade of 7%. This means that the slope of the of the highway is 7%. The slope is the proportion of rise and run. Hence the change in vertical distance with horizontal distance moved.
A grade of 7% = 7 / 100 ;
This means that the elevation or vertical heighy of the interstate highway changes 7 feets for every 100 feets of horizontal distance moved
I already finished it but how do you know if it’s decreasing or increasing?
Please explain to me :)
Answer:
If the slope is positive it is increasing if the slope is negative it is decreasing :)
Example:
Y=mX+b
If m is positive it is a positive slope
What is the converse of:
If a = b and b = c , then a = c
X^2+9x+20/x+3 • x^2-x-12/x^2+3x-4
What is the product in simplest form? State any restrictions on the variable
To find the product, we need to first factor the numerators and denominators of both fractions:
x^2 + 9x + 20 = (x + 5)(x + 4)
x^2 - x - 12 = (x - 4)(x + 3)
x^2 + 3x - 4 = (x + 4)(x - 1)
Substituting these into the expression, we get:
[(x + 5)(x + 4)/(x + 3)] * [(x - 4)(x + 3)/(x + 4)(x - 1)]
Now, we can simplify the product by cancelling out common factors:
[(x + 5) * 1/(x - 1)] * [(x - 4) * 1/1]
= (x + 5)(x - 4)/(x - 1)
So the product in simplest form is (x + 5)(x - 4)/(x - 1).
However, there is a restriction on the variable because the expression involves division by (x + 3), (x - 1), and (x - 4). Therefore, x cannot be equal to -3, 1, or 4, since these values would make the denominators zero and the expression undefined.
MARK ME AS THE BRAINLIEST!!!!!!!!!
This is a picture of the answer choices!!
Answer:
I would choose B. Sorry if incorrect. Hope it helps. :)
Step-by-step explanation:
Usually the correct answer is B when I do assignments.
Answer:
B!!
Step-by-step explanation:
there you go bud!
I don’t know how to do thos
Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
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Graph the following system of equations and find the y-coordinate of the solution. y = -2 y = 3 y = 1 y = 0
Therefore, we can see that equation the only y-value that is part of all four lines is y = 1. Therefore, the y-coordinate of the solution is 1.
Which equation is this?In arithmetic equations, the exact symbol (=) is used to denote the equivalence of two assertions. It is demonstrated that mathematical methods, which have acted as manifestations of reality, can be used to assess a variety of numerical factors. The equal sign actually splits the number 12 into two separate pieces, despite the fact that the result is y + 6 = 12.
Here,
The given system of equations is:
y = -2
y = 3
y = 1
y = 0
To graph this system, we plot the horizontal lines y=-2, y=3, y=1, and y=0 on the same coordinate plane:
lua
Copy code
| * <-- y=3
4 +
| <-- y=1
3 + * <-- y=0
|
2 +
| * <-- y=-2
1 +
|
+----------------
1 2 3 4
From the graph, we can see that the only y-value that is part of all four lines is y = 1. Therefore, the y-coordinate of the solution is 1.
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A vértical plane passes through a oyramid that has a horizontal base
When a vertical plane passes through a pyramid that has a horizontal base, the figures will be a triangle and a trapezoid.
What is a plane?A plane is a flat, two-dimensional surface that can extend indefinitely. A plane is a two-dimensional analogue of a point, a line, or three-dimensional space. Planes can appear as subspaces of a few higher-dimensional spaces, such as the room's walls that have been extended extremely far away.
If the plane passes through the vertex, it will intersect the slant heights of two lateral faces and the pyramid's base. The cross section then has three sides, two of which are congruent. The resulting cross section is an isosceles triangle.
A vertical direction or plane passing through a given point contains the local gravity direction at that point. If a direction or plane is perpendicular to the vertical direction, it is said to be horizontal.
A triangle is formed when the plane passes through the pyramid's vertex. A trapezoid is formed when it passes through three faces of a square or rectangular pyramid.
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Complete question
A vertical plane passes through a pyramid that has a horizontal base. Which figure or figures can be produced? Select all that apply.
Circle
Triangle
Trapezoid
Rhombus
What is the simplified expression for
2^2 • 2^3 over
24
O 20
O 21
O 22
O 23
Answer:
(B)\(2^1\)
Step-by-step explanation:
We are to simplify the given expression: \(\dfrac{2^2 \cdot 2^3}{2^4}\)
Step 1: Apply the addition law of indices to simplify the numerator.
\(\text{Addition Law: }a^x \cdot a^y=a^{x+y}\)
Therefore:
\(\dfrac{2^2 \cdot 2^3}{2^4} \\\\=\dfrac{2^{2+3}}{2^4}\\\\=\dfrac{2^5}{2^4}\)
Step 2: Apply the Subtraction law of indices to simplify the expression
\(\text{Subtraction Law: }a^x \div a^y=a^{x-y}\\\\\implies \dfrac{2^5}{2^4} =2^{5-4}\\\\=2^1\)
The correct option is B.
Arlene did chores at her house for 8 hours
last week. In the future she plans to do 2 hours
of chores per week. Write an algebraic
expression to represent the total number of
hours she will do chores.
The algebraic expression to represent the total number of hours she will do chores will be f(x) = 8 + 2x
Linear function and algebraic equationsAn algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations.
Let the number of hours she will do chores be x
Arlene did chores at her house for 8 hours last week and she plans to do 2 hours of chores per week, then the algebraic expression to represent the total number of hours she will do chores will be;
f(x) = 8 + 2x
where f(x) is the required total hour
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Let * be an associative binary operation on a set A with identity element e, and let a, b ? A(a) prove that if a and b are invertible, then a * b is invertible(b) prove that if A is the set of real numbers R and * is ordinary multiplication, then the converse of par (a) is true.(c) given an example of a set A with a binary operation * for which the converse of part(a) is false.
We have shown that if a and b are invertible, then a * b is invertible.
We have shown that if A is the set of real numbers R and * is ordinary multiplication, then the converse of part (a) is true.
In this case, a * b = a + b is not invertible even though both a and b are invertible.
To prove that if a and b are invertible, then a * b is invertible, we need to show that there exists an element c in A such that (a * b) * c = e and c * (a * b) = e.
Since a and b are invertible, there exist elements a' and b' in A such that a * a' = e and b * b' = e.
Now, let's consider the element c = b' * a'. We can compute:
(a * b) * c = (a * b) * (b' * a') [substituting c]
= a * (b * b') * a' [associativity]
= a * e * a' [b * b' = e]
= a * a' [e is the identity element]
= e [a * a' = e]
Similarly,
c * (a * b) = (b' * a') * (a * b) [substituting c]
= b' * (a' * a) * b [associativity]
= b' * e * b [a' * a = e]
= b' * b [e is the identity element]
= e [b' * b = e]
(b) To prove that if A is the set of real numbers R and * is ordinary multiplication, then the converse of part (a) is true, we need to show that if a * b is invertible, then both a and b are invertible.
Suppose a * b is invertible. This means there exists an element c in R such that (a * b) * c = e and c * (a * b) = e.
Consider c = 1. We can compute:
(a * b) * 1 = (a * b) [multiplying by 1]
= e [a * b is invertible]
Similarly,
1 * (a * b) = (a * b) [multiplying by 1]
= e [a * b is invertible]
(c) An example of a set A with a binary operation * for which the converse of part (a) is false is the set of integers Z with the operation of ordinary addition (+).
Let's consider the elements a = 1 and b = -1 in Z. Both a and b are invertible since their inverses are -1 and 1 respectively, which satisfy the condition a + (-1) = 0 and (-1) + 1 = 0.
However, their sum a + b = 1 + (-1) = 0 is not invertible because there is no element c in Z such that (a + b) + c = 0 and c + (a + b) = 0 for any c in Z.
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Rewrite one eighteenthx3y + seven eighteenthsxy2 using a common factor.
one thirdxy(6x2 + 7y)
one thirdx2y(6x2 + 9y)
one eighteenthxy(x2 + 7y)
one eighteenthx3y2(y + 7)
Answer:
C
Step-by-step explanation:
1/18 x³y + 7/18 xy²
1/18 xy (x² + 7y)
4. question 4 as in the previous question, an airline wants to do a customer survey in order to improve its service. for one month, it sends an email to a random sample of customers which flew with the airline on the previous day (no customer will be contacted more than once). again, the email states that the airline would like the customer to fill out a 10 minute survey in order to help the airline improve its service, but this time it states in addition that every respondent will receive a gift card worth $100. what can we say about this sampling plan?
We can say that the sampling plan leads to non-response bias; because the customers who did not participate in the survey would have provided significantly different answers.
What is non-response bias?Non-response is a description of non-observation appear in most surveys, that means failure to provide a measurement on one or more research variables for one or more elements chosen for the survey.
Non-response bias happens when participants in the survey are unable or unwilling to respond to a survey question or even the whole survey. Reasons for non-response may vary from person to person. To be considered a disposition of bias, a source of error has to be systematic in nature. Non-response bias is not an anomaly to this rule.
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the q-system of inventory submits inventory orders at random times. true or false?
The given statement "The q-system of inventory submits inventory orders at random times" is true because it is based on the q-model's assumption that demand is random and that inventory is replenished when it falls to a certain level.
The q-system of inventory, also known as the q-model or the reorder point system, is a method of inventory control that sets a reorder point (q) at which inventory is replenished.
The system assumes that demand for inventory is random and that inventory is replenished when it falls to the q-level. Since demand is random, orders will be submitted at random times based on the inventory level, and not according to a predetermined schedule.
Therefore, the given statement is true because the q-system of inventory submits inventory orders at random times based on the random demand for inventory.
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x + 6 + 3x = 5x - 4
I need help because I don’t really know how to do this. This is for geometry
Answer: x = 10
Step-by-step explanation:
x + 6 + 3x = 5x - 4
First you want to group your like values together
6 +4 = 5x - 3x - x
Note that when any value crosses the = sign, The sign in front of it (+/-) changes. (e.g. -4 changes to +4 after it crosses the = sign)
Then work out your values
10 = x
Also note that x is the same as 1x. So you minus 3x from 5x to get 2x and 2x minus 1x is equal to 1x which is the same as x.
The figure below shows a right rectangular prism whose base is a 2x2 square and whose height is 4.Which shape does the intersection of the vertical plane with the prism look like?
Answer:
rectangle
Step-by-step explanation:
To test the durability of cell phone screens, phones are dropped from a height of 1 meter until they break. A random sample of 40 phones was selected from each of two manufacturers. The phones in the samples were dropped until the screens broke. The difference in the mean number of drops was recorded and used to construct the 90 percent confidence interval (0.46,1.82)
to estimate the population difference in means.
Consider the sampling procedure taking place repeatedly. Each time samples are selected, the phones are dropped and the statistics are used to construct a 90 percent confidence interval for the difference in means. Which of the following statements is a correct interpretation of the interval?
Answer:
See below.
Step-by-step explanation:
I see there are no answer choices you've provided, but in order to interpret a confidence interval correctly, you might say something like "We are 90% confident that the true difference in the mean number of drops is contained within the interval".
Find the volume of this object.
Use 3 for π.
Volume of a Cylinder
V=πr2h
5 ft
4 ft
5 ft
Volume of a Rectangular Prism V = lwh
5 ft
V ≈
9 ft
The volume of the object is 285 cubic feet based on the individual volume of cylinder and rectangular prism.
We will calculate the volume of each shape individually followed by their addition.
To calculate the volume of cylinder, we will find radius.
Radius = diameter/2
Radius = 4/2
Radius = 2 ft
Volume of cylinder = πr²h, where r is radius and h is height. Keep the values in formula -
Volume of cylinder = 3 × 2² × 5
Take square and multiply the digits
Volume of cylinder = 60 cubic feet
Volume of rectangular prism = l × w × h, where l is length, w is width and h is height
Volume of rectangular prism = 5 × 5 × 9
Volume = 225 cubic feet
Total volume = 60 + 225
Total volume = 285 cubic feet
Hence, the volume of object is 285 feet.
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Find the area of the shaded region
Answer:
25.12
Step-by-step explanation:
8π = P
A class consisting of 3 undergraduate students and 9 graduate students is randomly divided into three groups of 4. What is the probability that each group includes an undergraduate student
The probability that each group includes an undergraduate student is approximately 0.565 or 56.5%. This can be determined by calculating the favorable outcomes and dividing it by possible outcomes.
First, let's consider the number of ways to select one undergraduate student from the three available. This can be done in 3 ways.
Next, for each selected undergraduate student, we need to select three more students from the remaining 11 students (9 graduate students and 2 remaining undergraduate students). This can be done in (11 choose 3) ways.
To calculate the total number of possible outcomes, we need to select three groups of 4 from the 12 students, which can be done in (12 choose 4) * (8 choose 4) * (4 choose 4) ways.
Therefore, the probability can be calculated as (3 * (11 choose 3)) / ((12 choose 4) * (8 choose 4) * (4 choose 4)).
Performing the calculations, the probability that each group includes an undergraduate student is approximately 0.565 or 56.5%.
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Please do this question in your copy, make a table like we made in class, scan it, and upload it BB. You have total 1 hour for it.
Alfalah Islamic Bank needed PKR 1500,000 for starting one of its new branch in Gulshan. They have PKR 500,000 as an investment in this branch. For other PKR 1000,000 they plan to attract their customers insted of taking a loan from anywhere.
Alfalah Islamic Issued Musharka Certificates in the market, each certificate cost PKR 5,000 having a maturity of 5 years. They planned to purchased 100 shares themselves while remaining shares to float in the market. Following was the response from customers.
Name Shares
Fahad 30
Yashara 50
Saud 20
Fariha 40
Younus 25
Asif 35
Alfalah Islamic planned that 60% of the profit will be distributed amoung investors "As per the ratio of investment" While the remaining profit belongs to Bank. Annual report shows the following information for 1st five years.
Years Profit/(Loss)
1 (78,000)
2 (23,000)
3 29,000
4 63,000
5 103,500
Calculate and Identify what amount every investor Investor will recieve in each year.
I apologize, I am unable to create tables or upload scanned documents. However, I can assist you in calculating the amount each investor will receive in each year based on the given information.
To calculate the amount received by each investor in each year, we need to follow these steps:
Calculate the total profit earned by the bank in each year by subtracting the loss values from zero.
Year 1: 0 - (-78,000) = 78,000
Year 2: 0 - (-23,000) = 23,000
Year 3: 29,000
Year 4: 63,000
Year 5: 103,500
Calculate the total profit to be distributed among the investors in each year, which is 60% of the total profit earned by the bank.
Year 1: 0.6 * 78,000 = 46,800
Year 2: 0.6 * 23,000 = 13,800
Year 3: 0.6 * 29,000 = 17,400
Year 4: 0.6 * 63,000 = 37,800
Year 5: 0.6 * 103,500 = 62,100
Calculate the profit share for each investor based on their respective share of the investment.
Year 1:
Fahad: (30/100) * 46,800
Yashara: (50/100) * 46,800
Saud: (20/100) * 46,800
Fariha: (40/100) * 46,800
Younus: (25/100) * 46,800
Asif: (35/100) * 46,800
Similarly, calculate the profit share for each investor in the remaining years using the same formula.
By following the calculations above, you can determine the amount each investor will receive in each year based on their share of the investment.
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n z11, express the following sums and products as [r], where 0 ≤r < 11. (a) [7] [5] (b) [7] ·[5] (c) [−82] [207] (d) [−82] ·[207
The sums and products of the given questions are :
(a) [7] + [5] = [1]
(b) [7] · [5] = [2]
(c) [-82] + [207] = [4]
(d) [-82] · [207] = [9]
We will express the sums and products as [r], where 0 ≤ r < 11.
(a) [7] + [5]
To find the sum, simply add the two numbers together and then take the result modulo 11.
[7] + [5] = 7 + 5 = 12
12 modulo 11 = 1
So, the sum is [1].
(b) [7] · [5]
To find the product, multiply the two numbers together and then take the result modulo 11.
[7] · [5] = 7 × 5 = 35
35 modulo 11 = 2
So, the product is [2].
(c) [-82] + [207]
To find the sum, add the two numbers together and then take the result modulo 11.
[-82] + [207] = -82 + 207 = 125
125 modulo 11 = 4
So, the sum is [4].
(d) [-82] · [207]
To find the product, multiply the two numbers together and then take the result modulo 11.
[-82] · [207] = -82 × 207 = -16974
-16974 modulo 11 = 9
So, the product is [9].
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Construct the graph of the direct proportion y=kx for each value of k k=3x
the answer is 3x²
Step-by-step explanation:
we know that k = 3x
when we look at the actual equasion we can se that y = kx, meaning we have to multiply x by 3x which would give us 3x²
Answer: the answer is 3x^2 three x to the power of 2
factor the expression p2-16
Answer:
(p - 4)(p + 4)
Step-by-step explanation:
p² - 16 ← is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
p² - 16
= p² - 4²
= (p - 4)(p + 4)
x + 21 - 1/3x = 9
please show step by step!!
Answer:
x = -18
Step-by-step explanation:
\(x + 21 - \frac{1}{3}x = 9\)
Combine x and \(\frac{1}{3}\) to get \(\frac{2}{3} x\).
\(\frac{2}{3}x + 21 = 9\)
Subtract 21 from both sides.
\(\frac{2}{3} x = 9 - 21\)
Subtract 21 from 9 to get −12.
\(\frac{2}{3}x = -12\)
Multiply both sides by \(\frac{3}{2}\), the reciprocal of \(\frac{2}{3}\).
\(x = 12\) × \((\frac{3}{2} )\)
Express −12 × \((\frac{3}{2})\) as a single fraction.
\(x = \frac{-12 x 3}{2}\)
Multiply −12 and 3 to get −36.
\(x = \frac{-36}{2}\)
Divide −36 by 2 to get −18.
x = -18
hope it helps and have a great day! =D
~sunshine~
In a binomial situation, n=18 and π=0.60. Determine the expected
value
The expected value in a binomial situation with n = 18 and π = 0.60 is E(X) = np = 18 * 0.60 = 10.8.
In a binomial situation, the expected value, denoted as E(X), represents the average or mean outcome of a random variable X. It is calculated by multiplying the number of trials, denoted as n, by the probability of success for each trial, denoted as π.
In this case, we are given n = 18 and π = 0.60. To find the expected value, we multiply the number of trials, 18, by the probability of success, 0.60.
n = 18 (number of trials)
π = 0.60 (probability of success for each trial)
To find the expected value:
E(X) = np
Substitute the given values:
E(X) = 18 * 0.60
Calculate the expected value:
E(X) = 10.8
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Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2)
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
Let c be a positive number. A differential equation of the form
dy/dt = ky^1+c
where k is a positive constant, is called a doomsday equation because the exponent in the expression ky^1+c is larger than the exponent 1 for natural growth.
(a) Determine the solution that satisfies that initial condition y(0) = yo
y = yo/(1-cyo^c kt)^1/c
(b) Show that there is a finite time t = T (doomsday) such that lim t → T - y(t) = [infinity]
y(t) → [infinity] as 1 - cyo^c kt → 0, that is, as t → 1/cyo^c kt. Define T = 1/cyo^c kt then lim t → T - y(t) = [infinity]
(c) An especially prolific breed of rabbits has the growth term ky^1.01. If 6 such rabbits breed initially and the warren has 42 rabbits after three months, then when is doomsday? ( Round your answer to two decimal places.)
_____ months
A differential equation of the form dy/dt = ky, where y(t) is a function of time t, k is a constant, and c is a positive number.
This type of equation is known as a first-order linear differential equation and is commonly used to model exponential growth or decay processes, such as population growth, radioactive decay, or compound interest.
The general solution to this equation is y(t) = ce^(kt), where c represents the initial condition at time t = 0.
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if two standard, fair 6-sided dice are rolled, what is the probability that the product of the two numbers rolled is a perfect square? express your answer as a common fraction.
8/36 = 2/9 represents the likelihood that the sum of the two rolled numbers is a perfect square.
Describe fraction?A fraction is a piece of the entire. The quantity is represented as a quotient by dividing the numerator by the denominator. Both are integers in a straightforward fraction. A fraction appears in a complex fraction's numerator or denominator. The numerator of a valid fraction is smaller than the denominator. Six times six is equal to 36 possible outcomes when two dice are rolled. Only 8 of these 36 possible outcomes—the result of two diced integers producing a perfect square—are beneficial for the occurrence of the essential occurrences. The six diagonal elements (a, a) from the sample space are shown here, along with two additional elements (1, 4) and (4, 1). probabilities are 8/36, or 2/9.
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