Answer:
undefined - you can't divide by 0!
Step-by-step explanation:
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{10-(-8)}{1-1}[/tex]
m = 18/0
In order to find the slope, we have the formula is
The change of Y (Also Y minus each other)
----------------------------------------------------------------- Over (As fraction
The change of X (Also X minus each other)
Now the first point is (1,10) The Y is 10
The X is 1
Now the Second Point is (1,-8) The Y is -8
The X is 1
So now we plug the numbers in
10-(-8)
--------- which is equal to 18/0
1-1
A quick tip is that you CAN'T divide by zero
Therefore the answer is unidentified, but now you know how to solve for slopes
1) Which example represents
perpendicular line segments?
A. tines of a fork
B. legs of a table
C. corner of a room
D. pedestrian crosswalk
Answer:
the area of a square garden 3136cm what is the length of one side
a jar contains groundnuts and beans in a ratio of 1:1.There are 300 bean seeds in the jar.How many groundnuts seeds are in the jar?
Answer:
300
Step-by-step explanation:
if its 1:1 ratio, then its the same and so if there 300 bean seeds, there has to be 300 groundnut seeds
Consider the following data representing the price of refrigerators (in dollars).
1459, 1381, 1347, 1485, 1473, 1479, 1306, 1221, 1402, 1366, 1205, 1431, 1427, 1490, 1209, 1260, 1296, 1204, 1487, 1343, 1358 Price of Refrigerators (in Dollars)
Class Frequency Class Boundaries Midpoint Relative Frequency Cumulative Frequency
1196–1245
1246–1295
1296–1345
1346–1395
1396–1445
1446–1495
Determine the lower class boundary for the third class.
The lower class boundary for the third class is 0.50.
What is the lower class boundary?
The lower class boundary of a class can be determined by calculating the average the upper limit of the previous class and the lower limit of the given class.
The lower class boundary = ( 1296 - 1295) / 2 = 0.50
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riangle ABC is translated to image A′B′C′. In this translation, A(5, 1) maps to A′(6, –2). The coordinates of B′ are
(–1, 0). What are the coordinates of B?
B(, )
The coordinates of B is (-2, 3).
What is Translation?In geometry, translation is the movement of a point or shape from one position to another.
Here, The translation from ΔABC to ΔA'B'C' is (x, y) → (x + a, y + b)
Now, given coordinate
A ≡ (5, 1) ⇒ A' ≡ (6, -2)
A' ≡ (1+5, 1 - 3)
On comparing this coordinate with translation coordinate
(x + a, y + b), we get
a = 1 and b = -3
Now translation coordinates is (x + 1, y - 3),
Now, Another coordinate;
B' ≡ (-1, 0) and the coordinate of B ≡ (x, y)
B' ≡ (-2+1, 3-3)
On comparing this coordinate with translation coordinate (x + 1, y - 3), we get
x = -2 and y = 3
Thus, the coordinates of B is (-2, 3).
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Write the equation of the line that passes at the point (-5,7) with the slope m = -2 in slope intercept form
Answer:
[tex]\huge\boxed{\sf y = -2x - 3}[/tex]
Step-by-step explanation:
Given data:m = -2
Slope-intercept form:y = mx + c
Given co-ordinate:(x,y) = (-5,7)
So, x = -5, y = 7
Finding c:To find c, Put the values of x, y and m in the slope-intercept form.
7 = (-2)(-5) + c
7 = 10 + c
7 - 10 = c
-3 = c
c = -3
Now, put the values of m and c in the slope intercept form.
Slope-intercept form:y = -2x - 3
[tex]\rule[225]{225}{2}[/tex]
Question pictured below
Answer:
The third answer is correct.
Step-by-step explanation:
How many turning points are in the graph of the polynomial function?
4 turning points
5 turning points
6 turning points
7 turning points
Answer:
There are 5 turning points
Step-by-step explanation:
Income Statements under Absorption Costing and Variable Costing
Gallatin County Motors Inc. assembles and sells snowmobile engines. The company began operations on July 1 and operated at 100% of capacity during the first month. The following data summarize the results for July:
Sales (19,500 units) $2,145,000
Production costs (25,000 units):
Direct materials $1,017,500
Direct labor 487,500
Variable factory overhead 245,000
Fixed factory overhead 162,500 1,912,500
Selling and administrative expenses:
Variable selling and administrative expenses $296,400
Fixed selling and administrative expenses 114,800 411,200
The Income Statements under Absorption Costing and Variable Costing are as follows:
Absorption Costing Variable Costing
Sales (19,500 units) $2,145,000 $2,145,000
Cost of goods sold $1,491,750 $1,365,000
Gross profit $653,250 $780,000
Selling and administrative expenses:
Fixed factory overhead $162,500
Variable selling and
administrative expenses $296,400 296,400
Fixed selling and
administrative expenses 114,800 411,200 114,800 573,700
Net Income $242,050 $206,300
What is the difference between Absorption Costing and Variable Costing?The difference between Absorption Costing and Variable Costing is that the Ending Inventory costs under Variable Costing include only direct materials, direct labor, and variable factory overhead. Absorption Costing includes all the variable factory costs plus fixed factory overhead (a period cost) in the Ending Inventory costs.
Data and Calculations under Absorption Costing:Sales (19,500 units) $2,145,000
Production costs (25,000 units):
Direct materials $1,017,500
Direct labor 487,500
Variable factory overhead 245,000
Fixed factory overhead 162,500
Total production costs 1,912,500
Cost per unit = $76.50 ($1,912,500/25,000)
Less Ending inventory 420,750 (5,500 x $76.50)
Cost of goods sold $1,491,750
Gross profit
Selling and administrative expenses:
Variable selling and administrative expenses $296,400
Fixed selling and administrative expenses 114,800 411,200
Data and Calculations under Variable Costing:Sales (19,500 units) $2,145,000
Production costs (25,000 units):
Direct materials $1,017,500
Direct labor 487,500
Variable factory overhead 245,000
Total variable production costs 1,750,000
Cost per unit = $70 ($1,750,000/25,000)
Less Ending inventory 385,000 (5,500 x $70)
Cost of goods sold $1,365,000
Gross profit
Selling and administrative expenses:
Variable selling and
administrative expenses $296,400
Fixed factory overhead 162,500
Fixed selling and administrative expenses 114,800 411,200
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PLEASE HELP ME
IM NOT GOOD WITH GRAPHS
Answer:
b
Step-by-step explanation:
The average waiting time to be seated for dinner at a popular restaurant is 23.8 minutes with a standard deviation of 6 minutes. What is the probability that 20 people will wait less than 21 minutes? Leave your answer exactly as it is taken from the table.
The probability that 20 customers will wait less than 21 minutes to be seated is
Using the normal distribution, it is found that there is a 0.3192 = 31.92% probability that 20 customers will wait an average of less than 21 minutes to be seated.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters for this problem are given as follows:
[tex]\mu = 23.8, \sigma = 6, n = 20, s = \frac{6}{\sqrt{20}} = 1.3416[/tex]
The probability that 20 customers will wait an average of less than 21 minutes to be seated is the p-value of Z when X = 21, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 23.8}{6}[/tex]
Z = -0.47
Z = -0.47 has a p-value of 0.3192.
0.3192 = 31.92% probability that 20 customers will wait an average of less than 21 minutes to be seated.
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In a clinical trial of a drug intended to help people stop smoking, 126 subjects were treated with the drug for 13 weeks, and 15 subjects experienced abdominal pain. If someone claims that more than 8% of the drug users experience abdominal pain, that claim is supported with a hypothesis test conducted with a 0.05 significance level. Using 0.19 as an alternative value of p, the power of the test is 0.95. Interpret this value of the power of the test.
The power of 0.95 shows that there is a ....% chance of rejecting the
▼
null
alternative
hypothesis of p
enter your response here when the true proportion is actually
enter your response here. That is, if the proportion of users who experience abdominal pain is actually
enter your response here, then there is a
enter your response here% chance of supporting the claim that the proportion of users who experience abdominal pain is
▼
less
greater
than 0.08.
The answer to the question has to be filled into the blank as
The power of 0.95 shows that there is a 95% chance of rejecting the null hypothesis if p = 0.08 when the true proportion is actually 0.15. That is, if the proportion of users who experience abdominal pain is actually 0.15. then there is a 95% chance of supporting the claim that the proportion of users who experience abdominal pain is greater than 0.08What does the power of a statistical test mean?This is described as the likelihood of the test correctly rejecting the null hypothesis on the basis that the alternative hypothesis is correct.
This question requires us to fill in the blank with the details that we have been given.
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3 [ 6 - ( + 2 ) ]= solve
Answer:
12
Step-by-step explanation:
First solve the inside brackets.
[tex]3[6-(+2)]=3[6-2]\\\\=18-6\\\\=12[/tex]
Identify all the inequalities that the graph represents.
X>10 10>x 8x>80 x+1>9 x+1>11
Identify all the inequalities that the graph represents.
6 x 3-2x2+9x-8+4x3-2x+6
Combine like terms: [tex]6x^{3}[/tex] and [tex]4x^{3}[/tex] make [tex]10x^{3}[/tex]. At that point, disentangle constants: -8 + 6 rise to -2. Result:[tex]10x^{3} - 2x^{2} + 9x - 2[/tex].
How to simplify the expressionTo simplify the given expression, take after the arrangement of operations (PEMDAS/BODMAS):
Perform operations inside parentheses/brackets.Assess examples (powers).Perform increase and division from cleared out to right.Perform expansion and subtraction from cleared out to right.Given expression: [tex]6x^{3} - 2x^{2} + 9x - 8 + 4x^{3} - 2x + 6[/tex]
Step 1: Combine like terms (terms with the same variable and example):
[tex]6x^{3} + 4x^{3} = 10x^{3}[/tex]
Step 2: Combine the steady terms:
-8 + 6 = -2
The expression presently gets to be:
[tex]10x^{3} - 2x^{2} + 9x - 2[/tex]
So, the disentangled expression is [tex]10x^{3} - 2x^[2} + 9x - 2.[/tex]
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The complete question:
Simplify the expression:
6 x 3-2x2+9x-8+4x3-2x+6
Find the value of x.
67°
X
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\mathsf{67 + x = 90^\circ}[/tex]
[tex]\mathsf{x+ 67 = 90^\circ}[/tex]
[tex]\large\textsf{SUBTRACT 67 to BOTH SIDES}[/tex]
[tex]\mathsf{x + 67 - 67 = 90^\circ - 67}[/tex]
[tex]\large\textsf{SIMPLIFY IT!}[/tex]
[tex]\mathsf{x = 90 - 67}[/tex]
[tex]\mathsf{x = 23}[/tex]
[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{x = 23}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]
What is the next number in the following series of numbers? 1, 4, 8, 13, 19, ___
Answer: 26
Step-by-step explanation:
to solve this series, we should find a pattern first.
if we look at the differences of each number, we can see that
4-1=3
8-4=4
13-8=5
19-13=6
to find the next number in the series, it would be 7 more than 19, since are counting upwards from 3.
Answer: 26
1 to 4 is 3
4 to 8 is 4
8 to 13 is 5
13 to 19 is 6
the next number should be 26
The amount or the strength of force is called its
[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]
The amount or the strength of force is called its magnitude.
Step-by-step explanation:
Hope it helps you !!The amount or the strength of force is named magnitude.
What is force?Force is that the push or pull on an object with mass that causes it to alter its velocity. Force is an external agent capable of adjusting the state of rest or motion of a selected body. it's a magnitude and a direction.
How to identify strength of force?The term which is true is magnitude. The magnitude of a force is expressed within the SI unit of force called Newton. 1 Newton is that the force which might make an object of 1 kilogram mass to at a speed of 1 meter per second. Magnitude is essentially the most extent of size and also the direction of an object. Magnitude is employed as a typical think about vector and scalar quantities. Magnitude of earthquake is measured by Richter scale.
Hence the number or the strength of force is named its magnitude.
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Rewrite the expression with a rational exponent as a radical expression.
(3 2/3)1/6
Answer:
[tex]82 = 525y2 \times 6112 =[/tex]
Solve for x. Round to the nearest tenth, if necessary.
J
K
69
X
26°
L.
In this problem, we're given an angle and two sides. Therefore, we should use a trigonometric function to solve for x.
Remember! SOH-CAH-TOA
We are given a 26 degree angle, looking from which we have the adjacent side and the hypotenuse. As such, we should use the cosine function.
cos(26) = x / 69
x = cos(26) * 69
x = 62.0168
x = 62.0
Hope this helps!
Step-by-step explanation:
ATTACHED IS THE SOLUTION!How do you determine whether or not the paired t test is appropriate for a two-sample hypothesis?
How to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The two samples are independent.
What is Two-sample hypothesis?Two-sample hypothesis can be defined as a test that is conducted on two samples so as to determine whether the two samples are independent.
A paired t-test is appropriate when the scores are of equal subject or equal variances.
Therefore how to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The two samples are independent.
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PLEASE ANSWER THIS QUESTION! I BEG OF YOU
Two function are represent below.
FUNCTION A FUNCTION B
y=35x. (image below)
What is the difference in the rate of change between Function A and Function B? Be sure to include the rate of change of each function in your answer.
EXPLAIN THE ANSWER!j
Rate of change for Function A is: 35
Rate of change for Function B is: 50
Difference is: 15.
What is the Range of a Linear Function?
Rate of change = change in y / change in x.
The graph for function B is a proportional graph, therefore, rate of change = y/x.
Using a point on the line, (1, 50), rate of change for function B = 50/1 = 50.
Function A is given as y = 35x. Rate of change, is 35.
The difference = 50 - 35 = 15.
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In the card game Set, each card features a number of shapes, with four attributes:
Number: The number of shapes is 1, 2, or 3.
Color: Each shape is red, purple, or green.
Shape: Each shape is oval, diamond, or squiggle.
Shading: Each shape is hollow, shaded, or striped.
There is exactly one card for each possible combination of attributes.
In the game, several of the cards are dealt out, and the goal is to find a set. A set is formed by three cards, where for each attribute, either all three cards are the same, or all three cards are different. When three cards form a set, we can also count the number of attributes for which all three cards are the same.
(a) How many cards are in a complete deck of Set?
(b) How many unique sets are there?
(c) Find the number of sets where all three cards are the same for exactly 0 attributes.
(d) Find the number of sets where all three cards are the same for exactly 1 attribute.
(e) Find the number of sets where all three cards are the same for exactly 2 attributes.
(f) Find the number of sets where all three cards are the same for exactly 3 attributes.
A) The number of cards that are in a complete deck of Set is; 81
B) The number of unique sets are; 36
How to find the combination of a set of cards?a) We are given;
Number of shapes = 1, 2 or 3
Colour = Red, Purple or Green
Shape = Oval, Diamond or Squiggle
Shading = Hollow, Shaded or Striped
Now, since a set is formed by all 3 cards, then we can say that;
Number of cards in a complete deck of set = 3⁴ = 81 cards
(b) Let us first find all sets = 3² * 4 * 3 = 108.
Thus;
Unique sets = 108/3
= 36 unique sets.
(c) There are 3 ways to choose the number of the cards from the given order.
For the second one, there 2 choices, and then there is only 1 choice. Thus; Number of ways to choose the numbers = 3 * 2 * 1 = 6.
For the other attributes;
Number of ways = 6 * 6 * 24 *6 ways.
Now, since the order of cards doesn't matter in a set, then the number of sets where all three cards are the same for exactly 0 attributes is;
(6 * 6 * 24 *6)/3! = 864 sets
(d) If all the colors are the same, then;
Number of sets = 6 * 24 * 6/3! = 144 sets.
If all the numbers are the same, then there are 144 sets which is also same for shapes and shading. Thus;
The number of sets where all three cards are the same for exactly 1 attribute is; 4 * 144 = 576
(e) There are C(4, 2) = 6 ways of choosing two attributes.
For each of the two attributes, there are 3 options.
For the other two attributes, there are 3 ways of assigning the choices. Thus, number of sets = 6*3*3*3*3 = 486 sets.
(f) There are C(4,3) = 4 ways of choosing which attributes are the same. There are 3*3*4 = 36 ways to assign which is which for each of these three attributes, and there are 4 ways to assign the choices for the fourth attribute. Thus;
The number of sets where all three cards are the same for exactly 3 attributes = 4*36*4 = 576 sets.
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find x and y !
pls help giving 50 points !!
Answer:
y = 20°
x = 35°
Explanation:
Equation's:
1) 2y + x + 105° = 180°
2) 3x + x + 2y = 180°
Make y subject in equation 2
3x + x + 2y = 180
4x + 2y = 180
2y = 180 - 4x
y = 90 - 2x
Insert this into equation 1
2(90 - 2x) + x + 105° = 180°
180 - 4x + x + 105 = 180
-3x = -105
x = 35°
Find value of y
y = 90 - 2x
y = 90 - 2(35)
y = 20°
Determine the Domain of: 8(x)=(4)/(x-9)
Hi !
[tex]f(x) = \frac{4}{x - 9} [/tex]
[tex]x-9[/tex] must be different from 0.
[tex]x -9 \ne0 \\ x \ne9[/tex]
[tex] = = > \: D_f=\mathbb{R}-\{9\}[/tex]
Have a nice day ;)
Find the perimeter and the area of the regular polygon
The perimeter of the regular hexagon is 180 ft
(Simplify your answer. Round to the nearest tenth as needed.)
The area of the regular hexagon is
(Simplify your answer. Round to the nearest tenth as needed.)
30 ft
The perimeter of the hexagon is 180 ft.
The area of the hexagon is 2338.3 ft
How to find area and perimeter of a polygon?The perimeter of the polygon can be found as follows:
The polygon is a regular hexagon.
Therefore,
perimeter of the hexagon = 30 × 6 = 180 ft
Area of the hexagon = 3√3 / 2 × s²
where
s = side lengthTherefore,
Area of the hexagon = 3√3 / 2 × 30²
Area of the hexagon = 3√3 / 2 × 900
Area of the hexagon = 450 × 3√3
Area of the hexagon = 2338.26859022
Area of the hexagon = 2338.3 ft
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What are effective elements to include in introductions? Check all that apply.
O a statement of the topic
O a relevant anecdote or tale
O an in-depth study of the topic
O a thought-provoking question
O a suggestion for further research
O a surprising fact about the topic
The effective elements to include in the introductions are statement of the topic, a relevant anecdote and a surprising fact about the topic. Therefore the option 1st, 2nd and 6th options are correct.
What is Introduction?Introduction is the starting line or the opening hook or portion that attracts the readers attention which carries the relevant background of the information.
It is the statement which represents the main point of the following argument or the paragraphs.
There are many elements that included in the introductory part some of them are as follows:-
a statement of the topica relevant anecdote or talea surprising fact about the topicTherefore the option 1st, 2nd and 6th options are correct.
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Answer:
The first two, the fourth, and the last one are correct
Step-by-step explanation:
it just is.... so yeah
The variance of the wait times of several people in at a department of motor vehicles service center is 14.5 minutes. What is the standard deviation of these measurements?
The standard deviation is 3.807.
What is standard deviation?A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.
Given:
variance= 14.5
standard deviation = √variance
= √14.5
= 3.807
Hence, the standard deviation is 3.807.
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To number the pages of a book, 2022 digits are used. How many pages are in the book?
Answer:
710
Step-by-step explanation:
Numeration of pages goes from 1.
9 pages with 1-digit numbers, from 1 to 9.
90 pages with 2-digit numbers, from 10 to 99.
So, 2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.
The rest of numbers are 3-digit.
[tex]\frac{(2022-189)}{3}[/tex] = 611 pages with 3-digit numbers.
Total pages = 9 + 90 + 611 = 710.
Assume a population of 40, 45, 47, and 53. Assume that samples of size n=2 are randomly selected with replacement from the population. Listed below are the sixteen different samples. Complete parts (a) through (c).
40,40 40,45 40,47 40,53 45,40 45,45 45,47 45,53
47,40 47,45 47,47 47,53 53,40 53,45 53,47 53,53
a. Find the median of each of the sixteen samples, then summarize the sampling distribution of the medians in the format of a table representing the probability distribution of the distinct median values. Use ascending order of the sample medians.
The median of each of the sixteen samples, the sampling distribution of the medians are shown in the table.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have data:
40,40 40,45 40,47 40,53 45,40 45,45 45,47 45,53
47,40 47,45 47,47 47,53 53,40 53,45 53,47 53,53
We can find the sample mean, median, and probability:
sample median probability sample median probability
40 1/16 46.5 2/16
42.5 2/16 47 1/16
43.5 2/16 49 2/16
45 1/16 50 2/16
46 2/16 53 1/16
Thus, the median of each of the sixteen samples, the sampling distribution of the medians are shown in the table.
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Find the dimensions and volume of the right circular cylinder of maximum volume inscribed in a sphere with a radius of 25 cm.
The dimensions of the circular cylinder of maximum volume inscribed in sphere is r = 20.4 cm , h = 28.86 cm.
What is a sphere ?A sphere is a three dimensional round shaped figure , It has no vertices and the distance form the centre to any point on the sphere is same.
It is given that
A right circular cylinder is inscribed in a sphere
The circular cylinder has the maximum volume
Radius of the sphere is 25 cm.
Dimensions of the cylinder = ?
As it is a right cylinder.
The Pythagoras theorem can be applied
r² + (h/2)² = 25²
r² = 625 - h²/4
volume of the cylinder
= πh(625 - h²/4)
= π(625 h - h³/4)
As the volume is maximum ,
so the derivative of the expression = 0
π(625 - 3h²/4) = 0
so h = 50 /√ 3
so r² = 625 - 2500 / (3 *4 )
r = 20.4 cm
h = 28.86 cm
Therefore the dimensions of the circular cylinder of maximum volume inscribed in a sphere is r = 20.4 cm , h = 28.86 cm.
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