Answer:
A
Step-by-step explanation:
Express each of these statements using quantifiers. Then form the negation of the statement so that no negation is to the left of a quantifier. Next, express the negation in simple English. In each case, identify the domain and specify the predicates.
a. No one has lost more than one thousand dollars playing the lottery.
b. There is a student in this class who has chatted with exactly one other student.
c. No student in this class has sent e-mail to exactly two other students in this class.
d. One student has solved every exercise in this book.
e. No student has solved at least one exercise in every section of this book.
Answer and Step-by-step explanation:
Not p = ¬p
P or q = p ∨ q
P and q = p ∧ q
If p then q = p → q
P if and only if q = p ↔ q
Existential quantification: There exist an element x in the domain such that p(x).
Universal quantification: p(x) for all values of x in the domain.
(a) No one has lost more than one thousand dollars playing the lottery.
Let A(x) means ‘x has lost more than one dollars playing the lottery’
It can also write as “there does not exists a person that lost more than one thousand dollars playing”
¬Ǝ x A (x)
Negation of this statement:
By using double negation law:
¬ [¬Ǝ x A (x)] ≡ Ǝ x A(x)
(b) There is a student in this class who has chatted with exactly one other student.
Let B(x,y) means “ x has chatted with y” and domain is all students of this class.
We can write the given sentence as:
“There is a student in the class who has chatted with one student and this student is not himself and for all people the student chatted with, this student has to be himself or the one student he chatted with”
Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x,y) → ( z = x v z = y))]
The negation:
¬ Ǝ x Ǝ y[B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ¬ Ǝ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
≡∀x ∀ y [B ( x, y) ∧ x ≠ y ∧ ∀ z (B(x ,y) → ( z = x v z = y))]
De Morgan’s law:
≡∀x ∀ y [¬ B ( x, y) v ¬ ( x ≠ y) v ∀ z (B(x ,y) → ( z = x v z = y))]
By using De Morgan’s law for quantifiers:
≡∀x ∀ y [¬ B ( x, y) v x= y v Ǝ z¬ (B(x ,z) → ( z = x v z = y))]
(c) No student in this class has sent e-mail to exactly two other students in this class
Let c(x, y) means “ x has sent email to y” and the domain is all student of class.
Using double negation law:
Ǝ x Ǝ y Ǝ z [c(x, y) ∧c(x ,z) ∧ x≠ y ∧ x ≠z ∧ y ≠ z ∀ w (c(x,w) → ( w = x v w = y v w = z)]
There is a student in class that has sent email to exaxtly two other students in class.
(d) One student has solved every exercise in this book
Let D(x , y) mean student x has solved exercise y in this book.
The negation:
Ǝx∀yD(x,y)
Use De Morgan’s law for qualifiers:
≡∀ x Ǝ y ¬D(x, y)
(e). No student has solved at least one exercise in every section of this book.
Let E(x, y,z) be student x has solved exercise y in section z of this book.
We can write “there does not exist a student that solved at least one exercise in all sections of this book”
¬Ǝ x Ǝ y ∀ Z E(x, y, z)
Negation:
≡¬ [¬ Ǝ x Ǝ y ∀ Z E(x, y, z) ]
Use double negation law:
≡ Ǝ x Ǝ y ∀ Z E(x, y, z)
Kelsey has $550 is her bank account and withdraws $25 per week from her bank account. Kris has $10 in his bank account and each week he deposits $15 of his allowance and $20 earned from dog walking into his bank account. After how many weeks do they have the same amount of money?
Answer:
13 weeks they both have $ 225
Step-by-step explanation:
(IF YOU'RE IN COLLEGE, ANSWER THIS) Should I delete social media?
I have twitter and I feel like it's impacting my life. I'm in college and whenever I study or work on an assignment, I find myself distracted by clicking on the website, and scroll through the timeline for hours. And then boom, it's 8pm. It's the reason why I'm so behind on my studies. I think I should delete it because I care about my future and I wanna become successful (I wanna be a doctor). but at the same time I have like 334 followers lol and it's nice but I should delete it for good I think. People are too toxic and it does no good for my brain.
Answer:
I think you should delete it because as you said it is distracting you. I think you should just focus on your studies if that is the most important thing to you
The adjacent supplementary angle to any of the interior angles of a triangle is called an exterior angle of a triangle.
Answer:
Correct
Step-by-step explanation:
The supplementary angle to any of the interior angles of a triangle is called an exterior angle, they are supplementary because they form a 180º angle when you extend a straight line from the adjacent side of the angle and any straight angle is a 180º angle, so supplementary angles added up would make 180º.
Find the distance between the points (2, -9) and (-1, 4).
A.13.34
B.5.10
C.13.04
D.5.83
Answer:
A. 13.34
Step-by-step explanation:
This is the formula d=√((x_2-x_1)²+(y_2-y_1)²)
Plug in
d=√(-1-2)² + (4+9)²
d= √9 + 169
d= √178
d= 13.34
I really need help I will mark brainliest
Answer:
is there a question orrrr
Larry picked 8 pounds of strawberries. If each jar of jam takes 38 of a pound of strawberries, how many jars of jam can Larry make?
Answer:
21 Jars
Step-by-step explanation: Divide 8 by 0.38 (38/100ths) and the answer is 21.052631578947368421052631578947 but you just round to 21.
What is the value of p?
2. A line goes through the points, and .
(a) What is the slope of the line? Show your work.
(d) Write the equation of the line in point-slope form. Show your work.
(e) Write the equation of the line in slope-intercept form. Show your work.
Answer:
on the 1st one you have to put points on the line where the square match the best like put points on the line where the squares are rect with the line and then choose 2 of them and make a triangle like; if there is the line you have to jump the squares while until arriving the other point. I hope his help you!:)The left and nght page numbers of an open book are two consecutive integers whose sum is 447. Find these page numbers
Answer:
223 and 224
Step-by-step explanation:
Divide 447 by 2. It gives a decimal of 223.5, but obviously you don't have half pages. So the page number would be 223 and 224.
Answer:
223,224
Step-by-step explanation:
page 1-x
page 2-x+1
2x+1=447
2x=446
x=223
page 1=223
page 2=224
Brainliest is Very Appreciated!
The answer is 118 as well right??
Answer: 118 is the correct degree
Step-by-step explanation:
Please help me, I am sorry that I’m so terrible at math
Answer:
x[tex]\leq[/tex]3
Step-by-step explanation:
hope this helps
Answer:
-6 <x< 3 or x<3, x<-6
Step-by-step explanation:
-18 < 4x +6 < 18
-18-6 <4x< 18-6
-24 <4x< 12
-24/4 <x< 12/4
-6 <x< 3
hope this help you
factorise 3x^3-4x^2-28x-16
Answer:
i just saw that on google, but i'm not sure if that's what you are looking for
Answer: -2
Step-by-step explanation:
Hope it help you
Stayhomestaysafe
REAL NAME - SHRESTH DUBEY
Help me please! If you can explain it will help me a lot, if not then it’s okay.
Answer:
I cant help bc it doesnt show :((( sorrrrry
Step-by-step explanation:
Measures of the missing numbered angles
Answer:
23
Step-by-step explanation:
In a certain chemical, the ratio of zinc to copper is 4 to 17. A jar of the chemical contains 714 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc
Answer:
z= 168
Step-by-step explanation:
proportion zinc to copper = 4/17
4/17 = z/ 714
17 • z = 4 • 714
17 • z = 2856
z= 2856/17
z = 168
Answer:
60
Step-by-step explanation:
What integers are the closest to the square root of 11
Answer:
-3, 3.
Step-by-step explanation:
3^2 = 9 and 4^2 = 16.
Also -3 and -4 give the same results.
Since 9 is closer to 11 than 16 the answer is 3 and -3.
If 21 out of 100 patients have high cholesterol, what percent of the patient population has high cholesterol?
Answer: 21%
Step-by-step explanation:
Percent by definition is based on "out of 100." If 21 out of 100 has high cholesterol, then the percentage is 21%
Answer:
21%
Step-by-step explanation:
Percents are always out of 100. If it says a # out of 100, the percentage is always the number that it is mentioning.
For example,
51 out of 100 is 51%
79 out of 100 is 79%
Contribution Margin, Break-Even Sales, Cost-Volume-Profit Chart, Margin of Safety, and Operating Leverage
Youngsville Industries Inc. expects to maintain the same inventories at the end of 20Y5 as at the beginning of the year. The total of all production costs for the year is therefore assumed to be equal to the cost of goods sold. With this in mind, the various department heads were asked to submit estimates of the costs for their departments during the year. A summary report of these estimates is as follows
Estimated Fixed Cost
Estimated Variable Cost (per unit sold)
Production Costs:
Direct Materials
$48
Direct Labor
$38
Factory Overhead
$150,000
$25
Selling Expenses:
Sales salaries and commissions
$125,000
$10
Advertising
$50,000
Travel
$15,000
Miscellaneous selling expense
$10,000
$2
Administrative Expenses:
Office and officers' salaries
$140,000
Supplies
$10,000
$5
Miscellaneous administrative expense
$10,000
$2
Total
$510,000
$130
It is expected that 22,175 units will be sold at a price of $170 a unit. Maximum sales within the relevant range are 27,500 units.
Answer:
Giving the following information:
Units sold= 450,000
Total Sales= $12,150,000
Total variable cost= $6,925,500
Total fixed cost= $3,242,673
First, we need to calculate the unitary selling price and variable cost. Then, we calculate the contribution margin.
Selling price= 12,150,000/450,000= $27
Unitary variable cost= 6,925,500/450,000= $15.39
Contribution margin per unit= 27 - 15.39= $11.61
To calculate the contribution margin ratio, we need to use the following formula:
Contribution margin ratio= contribution margin/ selling price
Contribution margin ratio= 11.61/27
Contribution margin ratio= 0.43
To calculate the break-even point both in units and dollars, we need to use the following formulas:
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 3,242,673 / 11.61= 279,300 units
Break-even point (dollars)= fixed costs/ contribution margin ratio
Break-even point (dollars)= 3,242,673/0.43= $7,541,100
Finally, we need to incorporate the desired profit to the break-even point formula:
Break-even point in units= (3,242,673 + 426,087) / 11.61
Break-even point in units= 316,000 units
Step-by-step explanation:
Free pints get it lolololo
Answer:
Yayee
Step-by-step explanation:
sub to astronaut gaming i have 27 subs if you need help finding i will help
Answer:
i subbed :P
Step-by-step explanation:
hope this helps </3
What line is perpendicular to y=2/7x+11/7 travel through (-3,8)
Answer:
y=−7/2x−5/2
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula
y−y1=m(x−x1) to find the line perpendicular to y=2/7x+11/7.
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
[tex]\^ p =\frac{k}{n}[/tex]
=> [tex]\^ p =\frac{14}{16}[/tex]
=> [tex]\^ p = 0.875 [/tex]
The null hypothesis is [tex]H_o : p = 0.5[/tex]
The null hypothesis is [tex]H_o : p > 0.5[/tex]
Generally the test statistics is mathematically represented as
[tex]z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }[/tex]
[tex]z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }[/tex]
[tex]z = 3[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 3)[/tex]
From the z table the probability of Z>3 is mathematically represented as
[tex]P(Z > 3) = 0.0013499[/tex]
So
[tex]p-value = 0.0013499 [/tex]
Let assume the level of significance is [tex]\alpha = 0. 05[/tex]
Generally from the value obtained we see that [tex]p-value < \alpha[/tex] Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
What percent of 60 is 15?
Answer:
15 is 25% of 60.
Step-by-step explanation:
The points on a section of an exam is given by the function , f(x), where x is the number of questions answered correctly in that section. If f(12) = 18, then a test-taker receives 18 points for answering _____ questions in the section correctly. *
Answer:
12
Step-by-step explanation:
x is the number of questions answered correctly in that section
-9(-2x-3) simplified
Answer:
18x +27
Step-by-step explanation:
-9(-2x-3)
Distribute
-9 * -2x -9*(-3)
18x +27
PLS I NEED THIS ASAP 100 POINT ---------The shoe store’s clerks are paid on commission. If the clerk receives a 12% commission on total purchase amounts before tax is applied, how much would the commission be for Isaac’s purchase with and without a coupon? 100 POINTS
Answer:
12%
Step-by-step explanation:
You never gave any numbers than 12% and you asked how much the commission would be...
If he gets 12% commission then he would have to pay 12% commission.
Which are vertical angles?
Trevor is 8 1/2 inches shorter than his dad. If his dad is 6 1/4 feet tall. How tall is trevor?
Answer:
66.5 in or 5.5 ft (rounded)
Step-by-step explanation:
Answer:
5 ft 6 1/2 inches
Step-by-step explanation:
6 1/4 ft
1/4 ft is 3 inches
6 ft 3 inches
Subtract 8 1/2 inches
6 ft 3 inches
- 8 1/2 inches
------------------------------
borrow from the ft ( 1 ft = 12 inches)
5 ft 3+12 inches
- 8 1/2 inches
------------------------------
5 ft 15 inches
- 8 1/2 inches
------------------------------
5 ft 6 1/2 inches
The density of oxygen is 1.429*10^-3 grams per cubic centimeter. How is this number written in standard form
Answer:
The density of oxygen in standard form is 0.001429 grams per cubic centimeter.