The branch of statistics used to make the given statement is Option(D) Descriptive Statistics.
Which are the different branches of statistics?
The area of mathematics that deals with data is statistics. Data collection, descriptive statistics, and inferential statistics are the three main subfields of statistics.
The process of gathering data is what data collection is all about.The area of statistics known as descriptive statistics deals with how we present the data we have. Basically, this can be done in one of two ways: either visually (using graphs, charts, etc.) or quantitatively (via averages and so on).The part of statistics that deals with drawing inferences from the data is called inferential statistics.For the given question, we are presented with data quantitatively. The data shows out of 500 students, 31% missed class due to alcohol consumption.
Therefore the branch of statistics that was used to make the above statement is descriptive statistics.
Hence Option(d) is correct.
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A store marks up a laptop 150% from its original price of $399. There is a sale for 25% off all items in the store. What is the sale price for the computer
Answer:
multiply the original price ($299) by the first markup percentage (150%)
299*1.50= $448.50
that is markup price!
then you have to do the sale % (25%)
so you'll multiply your (25%) by your new price ($448.50)
448.50*.25= $112. 125
then you will subtract the sale price ($112.125) by the upcharged price ($448.50)
448.50-112.125= 336. 375
= $336. 38(round off)
What is the slope of this line? (5 points)
Show all work.
to get the slope of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-4})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{3}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{3}-\stackrel{y1}{(-4)}}}{\underset{\textit{\large run}} {\underset{x_2}{4}-\underset{x_1}{(-2)}}} \implies \cfrac{3 +4}{4 +2} \implies {\large \begin{array}{llll} \cfrac{7 }{ 6 } \end{array}}[/tex]
it takes 4 pounds of apples to make 6 cups of apple sauce at this rate how much apple sauce can you make with 10 pounds of apples
Answer: 12 cups of applesauce
Step-by-step explanation:
Explain why the initial value of any function of the form
f(x)= a(b) is equal to a.
Hello there!
Initial value is the y-intercept so x = 0. Then b⁰ = 1 because x⁰ = 1 if x ≠ 0. So the value of function is a * 1 which is equal to a.
Step-by-step explanation: The initial value of any function of the form f(x)= a(b) is equal to a because this type of function is a linear equation, which means that the rate of change (slope) is constant. This means that the output is always equal to the input multiplied by a constant, which is the coefficient a. Therefore, when the input (x) is equal to 0, the output (f(x)) is equal to 0 multiplied by a, which is equal to a.
What are the different types of time complexity analysis available?
There are five different types of Time complexity analysis:
Constant Time ComplexityLogarithmic Time Complexity Linear Time Complexity O(n log n) Time ComplexityQuadratic Time ComplexityWhat is Time complexity?
The computational complexity that describes the amount of computer time required to run an algorithm is known as time complexity in computer science. The time complexity of an algorithm is commonly estimated by counting the number of elementary operations performed by the algorithm, assuming that each elementary operation takes a fixed amount of time to perform.
As a result, the time required and the number of elementary operations performed by the algorithm are assumed to be proportional. Because the running time of an algorithm varies among different inputs of the same size, the worst-case time complexity, which is the maximum amount of time required for inputs of a given size, is commonly considered.
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How do you check if an inverse is a function?
If a value of y relates only to one value of x, then the function does have an inverse function.
Define the term function and its inverse?A relation between such a collection of inputs and outputs is known as a function.
A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is just the input.If and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f does have an inverse (passing from the vertical line test).Thus, if a value of y relates only to one value of x, then the function does have an inverse function.
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Tom is adding soil to his raised garden bed. The depth of the soil is currently 8 inches, and for each bag of soil he adds, the depth will increase by 1/2 of an inch. You can use a function to describe the depth of the soil in the garden bed after Tom adds x bags of soil.
Write an equation for the function. If it is linear, write it in the form h(x)=mx+b. If it is exponential, write it in the form h(x)=a(b)^x.
The function that describes the depth of the soil is h(x) = -(1/2)x + 8.
Where x is the number of bags of soil.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Depth of the soil = 8 inches
One bag of soil increases by 1/2 of an inch.
Now,
The function denotes the depth of the soil.
h(x) = -(1/2)x + 8
Where x is the number of bags of soil
Thus,
The function is h(x) = -(1/2)x + 8.
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Ali is collecting signatures for a petition. He currently has 520 signatures. He has 6 more weeks to collect the remaining signatures he needs. He needs a total of at least 1,000 signatures before he can submit the petition. Ali wants to collect the same number of signatures each week. Write and solve the inequality for the situation
An inequality that represents the number of signatures Ali needs to collect in each of the remaining weeks so that he will have enough signatures to submit the petition: 520 + 6m ≥ 1000
and the minimum number of signatures he needs to collect = 80
Given that Ali wants to collect the same number of signatures each week.
Assume that Ali collects m number of signatures each week.
He has 6 weeks to collect the remaining signatures he needs.
So, by unitary method in 6 weeks the number of signatures he would collect:
6 × m
He currently has 520 signatures and he needs a total of at least 1,000 signatures before he can submit the petition.
so, we get an inequality.
520 + 6m ≥ 1000
We solve above inequality.
6m ≥ 1000 - 520
m ≥ 480/6
m ≥ 80
Ali needs to collect at least 80 signatures, so that he will have enough signatures to submit the petition.
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The sum of three consecutive integers is 27. Find the value of the greatest of the three.
Answer: The greatest of the three is 10.
Step-by-step explanation:
27/3=9 so the numbers will be around nine.
8+9+10=27
Answer:
Let x represent the value of the smallest of the three consecutive integers.
Then, the value of the middle integer is x+1, and the value of the greatest integer is x+2.
Since the sum of the three integers is 27, we have:
x + (x+1) + (x+2) = 27
Combining like terms, we have:
3x + 3 = 27
Subtracting 3 from both sides, we have:
3x = 24
Dividing both sides by 3, we have:
x = 8
Therefore, the value of the smallest integer is 8, the value of the middle integer is 8+1 = 9, and the value of the greatest integer is 8+2 = 10.
Thus, the value of the greatest integer is 10.
Step-by-step explanation:
What is an example of an x-intercept?
An example of x-intercept is (3,0).
Here x=3 is the x-intercept in this line.
By looking at the equation, we may determine the y-intercept when the equation is expressed in the slope-intercept form (y=mx+b). The y-intercept is the value of b. This is due to the fact that the y-intercept occurs when the x value is 0. Y = B when x = 0, since mx = 0 at this point.
We set y = 0 and solve the equation for x to determine the x-intercept. This is due to the fact that the line crosses the x-axis at y=0. If an equation is not in the form y = mx + b, we can still solve for the intercepts by substituting 0 where necessary and then solving for the final variable.
The formula for the x-intercept is y = 0: The x-intercept(s) can be determined by factoring or by employing the quadratic formula because ax2 + bx + c=0.
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For a project in his Geometry class, Elijah uses a mirror on the ground to measure the height of his school building. He walks a distance of 8. 25 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. He then steps 0. 8 meters to the other side of the mirror, until he can see the top of the school clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1. 45 meters. How tall is the school? Round your answer to the nearest hundredth of a meter
The school is 24.63 meters tall.
To calculate the height of the school, Elijah can use the concept of similar triangles. Since the mirror is on the ground and parallel to it, the angle between the ground and the line from his eyes to the mirror is 90 degrees. The angle between the ground and the line from his eyes to the top of the school is also 90 degrees. The triangle formed by these lines and the line from his eyes to the top of the school is similar to the triangle formed by these lines and the line from his eyes to the mirror.
Using the similar triangles, the ratio of the height of the school to the distance from Elijah's eyes to the mirror is equal to the ratio of the distance from Elijah's eyes to the ground to the distance from the mirror to the school.
Therefore
(Height of school) / (Distance from eyes to mirror) = (Distance from eyes to ground) / (Distance from mirror to school)
Plug in the given values:
(Height of school) / 0.8 = 1.45 / (8.25 - 0.8)
Solving for the height of the school:
Height of school = (0.8 * 1.45) / (8.25 - 0.8)
= 1.16 / 7.45
= 0.1562
= 24.63 meters
The school is 24.63 meters tall.
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what is the total cost with sales tax? price 120.00 tax 5%
Answer:
5% of 120 is 6, so you would add that 6 to 120.
120 + 6 = 126.
The total cost will sales tax would be $126.00.
Step-by-step explanation:
Hope it helps! =D
URGENT!!!
Which of the following points best represents the location of -1 5/8 on the number line?
A
B
C
D
Answer:
A
Step-by-step explanation:
[tex]-2<-1 \frac{5}{8}<-1[/tex], and A is the only point between -2 and -1.
Answer: i believe your answer would be C.
Step-by-step explanation: it is located where -1 is and is on the 5th line. between -1 and the letter C there are 8 lines. So answer would be letter C. sorry if that’s wrong.
A small business makes bottles of
temonade. Today, they have 528 ounces
of lemonade to bottle. Each bottle holds
24 ounces of lemonade. They sell each
bottle for $2.
Write two equations with variables that
can be used to find how many dollars
the business will receive by selling all of
the bottles.
The amount of money that the business will receipt is $44.
given:
Small business makes bottles of lemonade today they have 528 oz of lemonade to the bottle each bottle holds 24 oz of lemonade they sell each bottle for $2 how much money will the business receipt
From the above question:
24oz of Lemonade = 1 bottle
528 oz of Lemonade = x
Cross Multiply
24 × x = 528
x = 528/24
x = 22 bottles
We are told that: they sell each bottle for $2
Hence:
1 bottle = $2
22 bottles = y
Cross Multiply
y = 22 × $2
y = $44
Therefore, the amount of money that the business will receipt = $44
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6) Set up and solve an equation to
find x PLEASE SHOW WORK AND ALSO TELL ANSWER I NEED HELP also it is NOT 37.5
Answer:
is not 37.5
it's 25
Step-by-step explanation:
25+25+15+115=180
50+130=180
180=180
Answer:
25°
Step-by-step explanation:
25 + x + 15 = 3x – 10 ( Sum of two opposite interior angles is equal to the exterior angle)
40 + x = 3x - 10
40 + 10 = 3x - x
50 = 2x
[tex]x = \frac{50}{2} [/tex]
x = 25°
solve for x : 4x-6=x+9
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Here's the solution ~
[tex]\qquad \sf \dashrightarrow \: 4x - 6 = x + 9[/tex]
[tex]\qquad \sf \dashrightarrow \: 4x - x = 9 + 6[/tex]
[tex]\qquad \sf \dashrightarrow \: 3x = 15[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 15 \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \: x = 5[/tex]
Answer:
Step-by-step explanation:
4x-6=x+9
4x-x=9+6
3x=15
Final answer: x = 5
Mr. Reginer's class has been struck with hiccups. Three of the students track their number of hiccups over time
Answer:
Step-by-step explanation:
I dont understand the question.
Unit sales for new product ABC have varied in the first seven months of this year as follows: Feb 285 Mar Apr May Jun Jul Month Jan 314 158 482 284 310 281 Unit Sales What is the (population) standard deviation of the data? Please round your answer to the nearest integer. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel
The population standard deviation of the data is 111.
1. Find the mean of the data:
Mean = (314 + 158 + 482 + 284 + 310 + 281) / 6 = 1029 / 6 = 171.5
2. Find the difference between each data point and the mean:
Feb: (314 - 171.5) = 142.5
Mar: (158 - 171.5) = -13.5
Apr: (482 - 171.5) = 310.5
May: (284 - 171.5) = 112.5
Jun: (310 - 171.5) = 138.5
Jul: (281 - 171.5) = 109.5
3. Square each of the differences:
Feb: (142.5)^2 = 20,312.5
Mar: (-13.5)^2 = 182.25
Apr: (310.5)^2 = 95,822.25
May: (112.5)^2 = 12,656.25
Jun: (138.5)^2 = 19,082.25
Jul: (109.5)^2 = 11,982.25
4. Sum all of the squared differences:
20,312.5 + 182.25 + 95,822.25 + 12,656.25 + 19,082.25 + 11,982.25 = 149,047.5
5. Divide the sum of the squared differences by the number of data points minus one:
149,047.5 / (6 - 1) = 149,047.5 / 5 = 29,809.5
Square root of 29,809.5 = 111 (rounded to the nearest integer)
Therefore, the population standard deviation of the data is 111.
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The monthly profit for a small company that makes long-sleeve T-shirts depends on the price per shirt. If the price is too high, sales will drop. If the price is too low, the revenue brought in may not cover the cost to produce the shirts. After months of data collection, the sales team determines that the monthly profit is approximated by f(p)= -50p2 + 1600p - 11,000, where p is the price per shirt and f (p) is the monthly profit based on that price. (a) Find the price that generates the maximum profit. (b) Find the maximum profit. (c) Find the price(s) that would enable the company to break even. If there is more than one price, use the "and" button. Part 1 of 3 (a) The price that generates the maximum profit is S 16 Part 2 of 3 (b) The maximum profit is $ 1800 Part: 2/3 Part 3 of 3 (c) The price(s) that would enable the company to break even:
The price that maximize the profit is $10 or $22.
What is maximum profit?
In economics, profit maximization is the short run or long run process by which a firm may determine the price, input and output levels that will lead to the highest possible total profit.
Given:
f(p) = -50p^2 + 1600p - 11000
Now to find velocity point
[tex]-\frac{b}{2a} = \frac{-1600}{2(-50)} = \frac{1600}{100} = 16[/tex]
So for the price p = 16 that generates maximum profit.
Now
f(16) = -50(16)^2 + 1600(16) - 11000 = 1800
The maximum profit is 1800.
At breakeven, f(p) = 0
So,
[tex]-50p^2 + 1600p - 11000 = 0\\p = \frac{-1600 + -\sqrt{(1600)^2 - 4(-50)(-11000)} }{2(-50)} \\p = \frac{-1600 + - \sqrt{2560000 - 2200000} }{-100} \\p = \frac{-1600+-\sqrt{360000} }{-100} \\p = \frac{-1600+-600}{100}\\ p = 10, 22[/tex]
So p = $10 or p = $22
Hence, the price that maximize the profit is $10 or $22.
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A rare Pokemon trading card deck you have been wanting to buy costs 4500. You have earned 2485 from helping your mom in her online selling business. If you can save 155 weekly from your allowance, how many weeks would it take for your funds to reach 4500
Answer:
POKEMON YEAH!
Okay, so you first want to take 2485, and subtract it from 4500, because that is the amount of money he has already collected.
4500 - 2485 = 2015
Now you need to find out how many time you can multiply 155, to get 2015, or higher. In this case, I am just gonna divide:
2015/155 = 13
It will take him 13 more weeks to have enough for the Pokemon cards!
Step-by-step explanation:
Hope it helps! =D
Can you help me with this
The graph of the line y = 4x + 3 is shown below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
y = 4x + 3
When x = 0, y = 3
When x = 1, y = 4 + 3 = 7
When x = 2, y = 11
Similarly for negative x values, we get,
x = -1, y = -4 + 3 = -1
x = -2, y = -8 + 3 = -5
So on......
So we must get the following coordinates:
(-1, -1), (-2, -5), (0, 3), (1, 7), (2, 11),, ........
Thus,
The graph is shown below.
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what is the probability that you get a total of 17 given You are playing a version of the roulette game, where the pockets are from 0 to 10 and even numbers are red and odd numbers are black (0 is green). You spin 3 times and add up the values you see. What is the probability that you get a total of 15 given on the first spin you spin a 2
In the roulette game, the probability that you get a total of 15 given on the first spin you spin a 2 is 8.26%
To find: the probability that you get a total of 15 in three trials
Given that you spin a 2 on the first trial.
This means, the required probability is equivalent to the probability of finding a sum of 13 in the next two trials.
In each trial, there are 11 possible outcomes as the pockets numbered from 0 to 10.
so the sample space i.e., the total number of outcomes is:
S = 11^2
S = 121
And the favourable outcomes would be,
(2, 11), (3, 10), (4, 9), (5, 8), (6, 7), (7, 6), (8, 5), (9, 4), (10, 3), (11, 2)
So, the number of favourable outcomes A = 10
Using the definition of probability,
P = A/S
P = 10/121
P = 0.0826
P = 8.26%
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The complete question is:
You are playing a version of the roulette game, wherethe pockets arefrom 0 to 10 and even numbers are red and odd numbersare black (0 isgreen). You spin 3 times and add up the values yousee. What is theprobability that you get a total of 15 given on thefirst spin youspin a 2
The table shows the average speed of
the winner of a car race for different
years. About how many miles did the
winner of the car race in 2015 travel
after 2 hours? Round to the nearest
whole number.
The distance traveled after 2 hours will be 324 miles.
What is Average speed?Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.
The table shows the average speed of the winner of a car race for different
years.
year average speed
2005 135.17
2010 137.28
2015 161.94
2020 141.11
In order to find out how many miles the winner of the car race in 2015 traveled after 2 hours, we need to know the average speed at which they were traveling, which is given as 161.94 miles per hour. To find out how far they traveled in 2 hours, we can multiply this speed by the time, measured in hours.
So, if the average speed was 161.94 miles per hour, then the distance traveled in 2 hours is:
161.94 miles/hour × 2 hours = 323.88 miles.
Rounding up to the nearest whole number, the distance traveled after 2 hours is 324 miles.
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The question seems to be incomplete the missing table has been attached below
What is the degree of the polynomial 2x² 3xy 5y² 2?
The degree of the given polynomial is 2 because the highest exponent is 2 present in terms 2x^2 or 5y^2.
First, try to understand what is polynomial.
Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables. x^2+ 3x - 5 is an illustration of a polynomial with a single variable. There are three terms in this example: x^2, 3x, and -5.
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases."
Now let's talk about the degree of the polynomial.
The highest exponent of a monomial contained within a polynomial is referred to as the polynomial's degree. As a result, a polynomial equation with one variable having the biggest exponent is referred to as a polynomial degree.
The terms of a given polynomial is 2x^2, 3xy, 5y^2, and 2 Highest exponent is 2 in 2x^2 or 5y^2.
So the degree of the polynomial is 2.
The given Question is an incomplete complete question here.
[tex]2x^2 + 3xy + 5y^2 +2[/tex].
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The residents of downtown neighborhood designed a triangular-shaped park as part of a city beautification program. The park is bound by streets on all sides. The second angle of the triangle is 5 degrees more than the first. The third angle is 5 degrees less than four times the first. Find the measures of the angle
The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.
What is are of triangle?
The territory included by a triangle's sides is referred to as its area. Depending on the length of the sides and the internal angles, a triangle's area changes from one triangle to another. Square units like m2, cm2, and in2 are used to express the area of a triangle.
The sum of all angle of triangle = 180
As part of a civic beautification initiative, residents in a downtown neighbourhood created a park with a triangle shape.
Let's say that the initial angle is x°.
Accordingly, the second angle is (x + 5)° and the third angle is (5x - 5)° from the information provided.
The inner angles of a triangle are known to add up to 180 degrees.
∴ x + (x + 5) + (x - 5) = 180°
3x = 180°
x = 180°/3
x =60 °.
Hence, the triangular park has three angles: The triangular park has three angles: 60°, at its base, 55° at its top, and 65° at its base.
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Find the equation of the line that goes through ( 5, 3 ) and ( − 1, 2 ). Select one: a. x + 6y + 13 = 0 b. x − 6y + 13 = 0 c. 6x + y + 13 = 0 d. 6x − y + 13 = 0
Answer:
C.
Step-by-step explanation:
To find the equation of the line that goes through the points (5, 3) and (-1, 2), we can use the point-slope form of a linear equation. The point-slope form is given by:
y - y1 = m(x - x1)
where (x1, y1) is a point on the line, and m is the slope of the line.
To find the slope of the line, we can use the following formula:
m = (y2 - y1)/(x2 - x1)
Plugging in the coordinates of the two points, we get:
m = (2 - 3)/(-1 - 5) = -1/6
Substituting this value of m and the coordinates of one of the points into the point-slope form, we get:
y - 3 = -1/6(x - 5)
This simplifies to:
6x + y - 13 = 0
Therefore, the equation of the line is:
6x + y - 13 = 0
Circumference question
1. Suppose a bottle of Buckley's has a radius of 2cm. If you created a label for this product. What is the length of this label?
2. Assumes the company uses 22cm x 12cm boxes for delivery to stores. How many vials will be in each box?
suppose the price of each vial is $5.00. What is the cost of a box?
If 14 more than the product of -3 and a number x
is less than 56, which values could represent x?
Check all that apply. Write and solve the inequality.
-17
-14
■
-21
-2
-9
-15
bring the variable to the left side and bring all the remaining values to the right side.
How do you write a step-by-step inequality?Image search results for Write the inequality and solve it. -17 -14 ■ -21 -2 -9 -15
To fix an inequality, use these steps:
Step 1: Remove fractions by multiplying all terms by the fractions’ least common denominator.
Step 2 Simplify the inequality by merging like words on either side.
Step 3 Subtract or add amounts to get the unknown on one side and the digits on the other.
In algebra, the letter “x” is frequently used to represent an unknown value. It is referred to as a “variable” or “unknown” at times. X is a variable in x + 2 = 7, but we can deal with it.
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A new disease has been observed, and experts believe that 1% of the population have it. A test is developed that has 95% true positive rate (it identifies 95% of people with the disease as "positive") and 1% false positive rate (it misidenfies 1% of people without the disease as "positive"). If Alice tests positive and the experts are right on the population prevalence, what is the probability that Alice has the disease (up to 2 decimal places)?
If Alice tests positive and the experts are right on the population prevalence, the probability that Alice has the disease is 0.489.
In the given question, a new disease has been observed, and experts believe that 1% of the population have it.
A test is developed that has 95% true positive rate and 1% false positive rate.
From the given data,
Let E be the event that a patient has a disease and F be the event that a patient has tested positive.
Then according to Bayes' theorem we have,
P(E/F) = P(E)P(E/F)}/(P(E)P(E/F)+P(E')P(F/E')
P(E/F) = (1*95)/(1*95)*(99*1)
P(E/F) = 95/194
P(E/F) = 0.489 (approx.)
Hence, the probability that Alice has the disease 0.489.
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If 27³+27³+27³=27x,what is the value of x?
Answer:
x = 2,187
Step-by-step explanation:
27×27×27+27×27×27+27×27×27 =27x
19,683+19,683+19,683 =27x
59,049 = 27x
divide both sides by the coefficient of x ( 27 )
59,049 / 27 = 27x / 27
x = 2,187