Notice that if you draw a line from the left most point to the right most point, you would get a line with a negative slope (since its leaning forward). this means that X and Y have a negative correlation
Y =
2 + 1 and 4x - ly = 14 are
4
parallel lines.
O True
O False
A textbook store sold a combined total of 322 physics and math textbooks in a week. The number of math textbooks sold was 78 less than the number of physics textbooks sold. How many textbooks of each type sold?
200 physics textbooks and 122 math textbooks were sold.
What is Algebraic expression ?
Algebraic expression can be defined as combination of variables and constants.
Let's use variables to represent the number of physics and math textbooks sold. We can call the number of physics textbooks "p" and the number of math textbooks "m".
From the problem, we know that the total number of textbooks sold is 322, so we can write:
p + m = 322
We also know that the number of math textbooks sold was 78 less than the number of physics textbooks sold. In other words, we can write:
m = p - 78
Now we can substitute the second equation into the first equation to eliminate "m" and solve for "p":
p + (p - 78) = 322
2p - 78 = 322
2p = 400
p = 200
So 200 physics textbooks were sold. To find the number of math textbooks sold, we can substitute this value of "p" back into the equation we used earlier:
m = p - 78
m = 200 - 78
m = 122
Therefore, 122 math textbooks were sold.
To check our work, we can verify that the sum of the number of physics and math textbooks sold is indeed 322:
200 + 122 = 322
So our solution is correct.
Therefore, 200 physics textbooks and 122 math textbooks were sold.
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14. What is the length of a diagonal of rectangle EFGH? Show your work
Answer:
The length of the diagonal of the rectangle is of \(\sqrt{58}\) units.
Step-by-step explanation:
Pythagorean theorem:
The square of the hypothenuse h is equal to the sum of the squares of sides a and b, that is:
\(h^2 = a^2 + b^2\)
Diagonal of a rectangle:
The diagonal is the hypothenuse, while the sides are a and b.
In this question:
The height has coordinates are y = 9 and y = 12, so the height is \(a = 12 - 9 = 3\)
The length has coordinates at \(x = -6, x = -13\), so the length is \(b = -6 - (-13) = 7\)
Diagonal:
\(d^2 = a^2 + b^2\)
\(d^2 = 3^2 + 7^2\)
\(d^2 = 9 + 49\)
\(d^2 = 58\)
\(d = \sqrt{58}\)
The length of the diagonal of the rectangle is of \(\sqrt{58}\) units.
Computer systems analysts
Database administrators
Computer software engineers,
systems software
Gaming and sports book writers
and runners
Environmental science and
protection technicians, including
health
Manicurists and pedicurists
Physical therapists
Physician assistants
504
650
119 154
350 449
18 24
36
78
47
100
220
29.0
28.6
28.2
28.0
28.0
27,6
27.1
146
34
99
5
10
22
47
18
Bachelor's degree
Bachelor's degree
Bachelor's degree
Short-term on-thi
Associate degree
Postsecondary vocational award
Master's degree
Master's degree
173
66
83
27.0
Based on the above table, what is the fastest growing listed occupation for those without a college degree?
a. Gaming and sports book writers and runners
b. Dental assistants
c. Marriage and family therapists
d. Manicurists and pedicurists
Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners.
Therefore option A is correct.
What is a college degree?The college degree is described as a qualification awarded to students after completing the requirements for a specific course of study of which the two most common types of degrees are the Bachelor of Arts and Bachelor of Science.
With reference to the table, the occupations that do not require a college degree are:
Gaming and sports book writers and runnersEnvironmental science and protection technicians, including healthManicurists and pedicuristsWe were able to conclude that Based on the above table , the fastest growing listed occupation for those without a college degree is Gaming and sports book writers and runners with a rate of 24.6%.
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Solve the equation for the variable y in terms of the variable x. 4x + y = 6
Answer:
y = -4x + 6
Step-by-step explanation:
To solve for y in terms of x, isolate y.
To get y by itself, subtract 4x from both sides:
4x + y = 6
y = -4x + 6
So, y in terms of x is y = -4x + 6
Answer:
y = − 6 + 4 x
Step-by-step explanation:
Using the two-way table, what percentage of the students that like to travel out of state do not like camping? Round to the nearest whole percent.
Likes Traveling Out of State Does Not Like Traveling Out of State Row totals
Likes Camping 52 38 90
Does Not Like Camping 36 74 110
Column totals 88 112 200
Group of answer choices
30%
33%
36%
41%
The percentage of the students that do not like camping like travelling out of state is B. 33%
How to calculate the percentage?A percentage simply has to do with the a value or ratio which can be stated as a fraction of 100. It should be noted that when we want to we calculate a percentage of a number, we simply divide it and then multiply the value that is gotten by 100.
The total number of students who do not like camping is 110 and the total number of students that do not like camping like travelling out of state is 36.
The percentage of the students that do not like camping like travelling out of state is:
= 36 / 110 × 100
= 33%
Therefore, the correct option is B.
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Consider the function f (x) = StartLayout Enlarged left-brace first row negative StartFraction x + 5 Over x + 3 EndFraction, x less-than negative 2 second row x cubed + 6, x greater-than-or-equal-to negative 2 EndLayout.
Which statement describes whether the function is continuous at x = –2?
The function is continuous at x = –2 because f(–2) exists.
The function is continuous at x = –2 because Limit as x approaches negative 2 plus f(x) = f(–2).
The function is not continuous at x = –2 because Limit as x approaches negative 2 f(x) ≠ f(–2).
The function is not continuous at x = –2 because Limit as x approaches negative 2 f(x) does not exist.
Answer:
D
Step-by-step explanation:
Edge
Find the value of tan 6720 with out calculator
Answer:
\(\sqrt3\)
Step-by-step explanation:
I'm assuming you're dealing with degrees.
If that's the case, then I would first find the closest multiple of 360 to that number.
360*20 = 7200, which is a bit too high; 360*19 = 6840, still a bit too high; 360*18 = 6480, perfect.
Now, just subtract 6480 from 6720 and you will get 240.
The answer is now simplified to tan 240, which can be expressed as sin(240)/cos(240).
240 degrees is 30 degrees away from 270, creating a 30-60-90 triangle.
That means cos(240) is -1/2 and sin(240) is -sqrt(3)/2.
Now, just divide:
\(-\frac{\sqrt3}{2}/-\frac{1}{2} = -\frac{\sqrt3}{2}\cdot-2 = \sqrt{3}\)
Therefore, tan(6720 degrees) = \(\sqrt3\)
450 students and 35 teachers were going on an outing they took maxis each of which can hold 25 person how much maxis did they need to hire
6x + 4y = 7Kx + 8y = 7What is the value of K?
The value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
What are equations?Two things are equal, according to an equation.
It will be written with the equals sign "=" as in x+2=6.
What is on the left (x + 2) is equal to what is on the right ((6)), according to that equation.
A remark like "this equals that" can be compared to an equation.
So, we have the equations:
6x + 4y = 7
Kx + 8y = 7
Now, we know that both equations are equal to 7. so, we can write it as:
6x + 4y = Kx + 8y
Solve with subject K as follows:
6x + 4y = Kx + 8y
Kx - 6x = 4y - 8y
(K-6)x = -4y
k-6 = -4y/x
k = (-4y/x) + 6
Therefore, the value of K in the given equations 6x+4y=7 and Kx+8y=7 is k=(-4y/x)+6.
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Find the percent increase or decrease for each of the following values (Indicate whether each is an increase or a decrease). y to 0.78y
Answer:
y to 0.78y is a decrease
Step-by-step explanation:
y by itself can also be written as 1y, and 0.78y is less than 1, thus y to 0.78y is a decrease.
Original price is $45 and markdown is 20% what is the price after markdown
Answer:
The price after the markdown is 36 dollars.
Step-by-step explanation:
First, I found out what 10% of 45 is by moving the decimal point 1 time to the left, getting 4.5. Then I multiplied each value by 2 to get 20% and 9, meaning that 20% of 45 is 9. Then 1 subtracted 9 from 45 to get 36.
Which sequence of transformations was applied to the parent tangent function to create the function m(x) = 2tan(3x+4)
The function m(x) = 2tan(3x+4) is obtained by applying a sequence of transformations to the parent tangent function.
To determine the sequence of transformations, let's break down the given function:
1. Inside the tangent function, we have the expression (3x+4). This represents a horizontal compression and translation.
2. The coefficient 3 in front of x causes the function to compress horizontally by a factor of 1/3. This means that the period of the function is shortened to one-third of the parent tangent function's period.
3. The constant term 4 inside the parentheses shifts the function horizontally to the left by 4 units. So, the graph of the function is shifted to the left by 4 units.
4. Outside the tangent function, we have the coefficient 2. This represents a vertical stretch.
5. The coefficient 2 multiplies the output of the tangent function by 2, resulting in a vertical stretch. This means that the graph of the function is stretched vertically by a factor of 2.
In summary, the sequence of transformations applied to the parent tangent function to create the function m(x) = 2tan(3x+4) is a horizontal compression by a factor of 1/3, a horizontal shift to the left by 4 units, and a vertical stretch by a factor of 2.
Example:
Let's consider a point on the parent tangent function, such as (0,0), which lies on the x-axis.
After applying the transformations, the corresponding point on the function m(x) = 2tan(3x+4) would be:
(0,0) -> (0,0) (since there is no vertical shift in this case)
This example helps illustrate the effect of the transformations on the graph of the function.
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Explain the meaning of the term floor plan in this context
floor plan => It is the scale drawing that show the relationship between rooms, spaces, and physical features viewed from the above
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For which conditions is p V q false?
p is true and q is false.
p is true and q is true.
p is false and q is true.
Opis false and q is false.
Answer:
opis is false and q is false
Step-by-step explanation:
Answer:
its d
Step-by-step explanation:
Can someone help me out
Answer:
236m^2
Step-by-step explanation:
8x5=40x2=80
6x5=30x2=60
6x8=48x2=96
80+60+96=236
let x and y be i.i.d. unif(0, 1). (a) compute the covariance of x y and x y . (b) are x y and x y independent studysoup
If x and y be i.i.d. unif(0, 1), then the covariance of x + y and x - y is zero
Here x and y be i.i.d. unif(0, 1)
The i.i.d stands for independent and identically distributed
unif means that the uniformly distributed
Here x and y are i.i.d unif (0,1)
The covariance is defined as the relationship between the two random variables . Therefore, variance of one variable is equal to the change in another variable
Here we have to find the covariance of x + y and x - y
According to the properties of covariance
Cov(x+ y, x - y) = Cov (x, x) + Cov(y, x) - Cov(x, y) - Cov(y, y) = 0
Because Cov(x, x) = Cov (y, y)
Cov(y, x) = Cov(x, y)
Therefore, the covariance of x+y and x - y is 0
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A set of final examination grades in an introductory statistics course is normally distributed, with a mean of 73 and a standard deviation of 8.
a. What is the probability that a student scored below 91 on this exam?
b. What is the probability that a student scored between 65 and 89?
c. If the professor grades on a curve (i.e., gives A’s to the top 10% of the class, regardless of the score), are you better off with a grade of 81 on this exam or a grade of 68 on a different exam, where the mean is 62 and the standard deviation is 3? Show your answer statistically and explain. (Hint: For option 1, you need to find a minimum Z-score that will guarantee you that you will be in the top 10% of the class.)
a. The probability that a student scored below 91 on this exam is 0.9878
b. The probability that a student scored between 65 and 89 is 0.8186.
c. A grade of 68 on the second exam is better than a grade of 81 on the first exam for the given conditions
a. To find the probability that a student scored below 91 on the exam, we need to find the area under the normal distribution curve to the left of 91. Using a standard normal distribution table or calculator, we can find the corresponding Z-score as:
Z = (91 - 73) / 8 = 2.25
The probability of scoring below 91 is then the same as the probability of a standard normal random variable being less than 2.25, which is approximately 0.9878.
b. To find the probability that a student scored between 65 and 89, we need to find the area under the normal distribution curve between these two values. Using the Z-score formula as above, we find:
Z1 = (65 - 73) / 8 = -1.00
Z2 = (89 - 73) / 8 = 2.00
Using a standard normal distribution table or calculator, we can find the probability of a standard normal random variable being between -1.00 and 2.00, which is approximately 0.8186.
c. To determine if a grade of 81 on this exam or a grade of 68 on a different exam is better if the professor grades on a curve, we need to find the Z-score that corresponds to the top 10% of the class. Using a standard normal distribution table or calculator, we can find this Z-score as:
Z = 1.28 (approximately)
For the first exam, the Z-score corresponding to a grade of 81 is:
Z = (81 - 73) / 8 = 1.00
Since 1.00 < 1.28, a grade of 81 is not in the top 10% of the class. For the second exam, the Z-score corresponding to a grade of 68 is:
Z = (68 - 62) / 3 = 2.00
Since 2.00 > 1.28, a grade of 68 is in the top 10% of the class. Therefore, if the professor grades on a curve, a grade of 68 on the second exam is better than a grade of 81 on the first exam.
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Proportion of Canadians that have income less than $20000 is 0.3. What is the probability that more than 40% of people in a randomly selected group of 100 working Canadians have income less than $20000.
The probability that more than 40% of people in a randomly selected group of 100 working Canadians have income less than $20000 is 0.9867.
What is z-score?The relationship between a value and a set of values' mean is described by the statistical measurement known as the Z-score. Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score. A value that is one standard deviation from the mean would have a Z-score of 1.0. Z-scores can be either positive or negative, with a positive number signifying a score above the mean and a negative value signifying a score below the mean.
Given that,
p = 0.3
n = 100
μ = p = 0.3
The margin of error is calculated as:
σ = √p (1-p)/n
σ = √(0.3)(1 - 0.3)/100
σ = 0.045
The z- score is given as:
z = m - μ / σ
z = 0.40 - 0.30/ 0.045
z = 2.22
P (p < 0.40) = P (z < 2.22)
P (z < 2.22) = 0.9867
Hence, the probability that more than 40% of people in a randomly selected group of 100 working Canadians have income less than $20000 is 0.9867.
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The percent of discount is 20% and the sale price is 28 how much is the original price
Answer:5.6
Step-by-step explanation:
28 divided by 5 is 5.6
Answer: $33.6
Step-by-step explanation: 28(.20) will give us our $5.6 discount. now add that on top of 28.
Help !!
centimeters and millimeters <3
1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .
How to compare centimeters and millimeters ?The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.
The length of my book in when measured in millimeters is 280 mm.
In centimeters, this is therefore:
= 280 mm / 10 cm /mm
= 28 cm
Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.
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The sum of 1/7 of a number and 1/8 of that number gives 12
Answer:
the problem is 1/7x+1/8?
4x−6=4x+3 is it true for all values of x or none
Please help asap! really important!!
Answer:
4th graph
6th graph
3rd graph
Step-by-step explanation:
Linear = y = x + 3
it is 4th graph
when you substitute x = 0 y is 3
and when y = 0 x is -3
Quadratic = y = 3x^2
It is 6th graph
for both positive and negative values of x, y is rapidly increasing
Exponential = y = 3^x
it is 3rd graph
for x = 0 y value is 1 because 3^0 = 1
for positive values of x, y is exponentially rising
for negative values of x it is nearly almost touches zero
Sterling decided to build a square pool right by the dog park. If each side is 19 feet long, what is the area of the pool?
Hint: Use the area of a square and your knowledge of square roots also working steps to complete the following
Answer:
361 ft²
Step-by-step explanation:
Each side of the square pool,
→ 19 ft
Formula we use,
→ side²
The area of the square pool will be,
→ side²
→ (19)²
→ 361 ft²
Hence, area of the pool is 361 ft².
Answer:
Area = 361 ft²
Step-by-step explanation:
Area of a square = \(x^2\) (where \(x\) is the side length)
Given:
\(x=\sf 19\:ft\)\(\begin{aligned}\implies \textsf{Area of the pool}&=\sf 19^2\\& = \sf 19 \times 19\\& = \sf 361\:ft^2\end{aligned}\)
I NEED HELP ON THIS ASAP, OFFERING A LOT OF POINTS
can someone do a go_ogle search for me? i need the link to Glitch text generator, don't ask why. just put the link, and you can be on your way
Answer:
I tried but I can't it says securly Blocked So sorry i would do it if i could so sorry but also why can't you search for it?
Step-by-step explanation:
Answer:
https://exoticfonts.com/
Step-by-step explanation:
This site gives a variety of glitched text fonts!
Ew i sounded like a ad or a bot-
Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.61 and a standard deviation of 0.4. Using the empirical rule, what percentage of the students have grade point averages that are between 2.21 and 3.01?
Answer:
68%
Step-by-step explanation:
We start by calculating the z-scores of both
z-score = (x-mean)/SD
for 2.21
z-score = (2.21-2.61)/0.4 = -1
For 3.01
z-score = (3.01-2.61)/0.4 = 0.4/0.4 = 1
So what we want to find is the percentage between -1 SD and 1 SD of the mean
This is the percentage corresponding to the probability
P(-1 < x < 1)
According to the empirical rule, this is a value of;
68.269%
Sabine drew two points on a number line. Which inequality is true?
Answer:
you have it correct
because when you are talking about negative the smaller number it the greater number
The inequality - 8 < - 4 is true among all the other given options.
What are inequalities and their types?
Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
Given, Two points on the number line one at - 8 and one at - 4.
We know 8 > 4 therefore - 4 > - 8 Or - 8 < - 4.
The more we go toward the left of the number line the numbers are smaller and smaller.
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Here are three digits: 1, 9,8
Write down a number between 600 and 900 that uses each of these digits once.
Answer:
Step-by-step explanation:
Numbers begin with ‘8’:
Integers from 800 to 899; that is 100 numbers.
Numbers end with ‘8’ from 600 to 900:
Options for hundred's place = 3 (digits ‘6’, ‘7’ and ‘8’).
Options for ten's place = 10 (all ten digits)
Options for unit's place = 1 (only ‘8’)
So, (3 * 10 * 1) = 30 numbers.
Now, among these (100 + 30) = 130 numbers; there are some which start and end with ‘8’; we need to eliminate them to avoid ‘double counting’ of these numbers. How many are they?
Numbers start and end with ‘8’:
Option for hundred's place = 1 (Only ‘8’)
Options for ten's place = 10 (all ten digits)
Option for unit's place = 1 (only ‘8’)
So, (1 * 10 * 1) = 10 numbers.
Therefore, there are (130 - 10) = 120 numbers from 600 to 900 which either start with ‘8’ or end with ‘8’.
The price of cappuccinos is $5.00 each. The price of pistachios is $1.00 per pound. If Curtiss has income of $32.00 and purchases 5.00 cappuccinos, how many pounds of pistachios can he buy
Answer:
curtiss can buy 7 pounds of pistachios
Step-by-step explanation:
5 cappuccinos x $5 = 25, 32 - 25=7
The number of pounds of pistachios will be 7 pounds.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The cost of cappuccinos is $5.00 each. The cost of pistachios is $1.00 per pound. Assuming Curtiss has paid $32.00 and buys 5.00 cappuccinos.
Let 'x' be the number of pounds of pistachios. Then the correct option is given as,
1x + 5 × 5 = 32
x + 25 = 32
x = 32 - 25
x = 7 pounds
The number of pounds of pistachios will be 7 pounds.
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