Answer:
On Friday it saved 1,024
Step-by-step explanation:
The computation of the amount saved on friday is given below:
GIven that
On Monday it saved P4
On Tuesday it saved P16 (P4 × 4)
On Wednesday it saved P64 (P16 × 4)
On Thursday it saved 256 (P64 × 4)
On Friday it saved 1,024 (P256 × 4)
For each statement, write what would be assumed and what would be proven in a proof by contrapositive of the statement. Then write what would be assumed and what would be proven in a proof by contradiction of the statement.
a. If x and y are a pair of consecutive integers, then x and y have opposite parity.
b. For all integers n, if n² is odd, then n is also odd.
Answer:
a)
Given Statement - If x and y are a pair of consecutive integers, then x and y have opposite parity.
Proof by Contrapositive:
Assumed statement: Suppose that integers x and y do not have opposite parity.
Proven Statement: x and y are not a pair of consecutive integers.
Proof -
x = 2u₁ , y = 2u₂
Then
(x, x+1) = (2u₁ , 2u₁ + 1) = (Even, odd)
If y = 2u₁ + 1
Not possible
⇒x and y are not a pair of consecutive integers.
Hence proved.
Proof by Contradiction:
Assumed statement: Suppose x and y are not a pair of consecutive integers.
Proven Statement: Suppose x and y do not have opposite parity.
Proof -
If x and y are not a pair of consecutive integers.
⇒ either x and y are odd or even
If x and y are odd
⇒x and y have same parity
Contradiction
If x and y are even
⇒x and y have same parity
Contradiction
(b)
Proof by Contrapositive:
Assumed statement: Let n be an integer such that n is not odd (i.e. n is an even integer)
Proven Statement: n² is not odd (i.e n² is even)
Proof -
Let n is even
⇒n = 2m
⇒n² = (2m)² = 4m²
⇒n² is even
Hence proved.
Proof by Contradiction:
Assumed statement: Let n be an integer such that n² be odd.
Proven Statement: suppose that n is not odd (i.e n is even)
Proof -
Let n² is odd
⇒n² is even
⇒n² = 2m
⇒2 | n²
⇒2 | n
⇒n = 2x
⇒ n is even
Contradiction
I need help with this question
Answer:
option B 4√5 is the correct answer of this question .
plz mark my answer as brainlist plzzzz if you find it useful.
Hope this will be helpful to you ☺️.
Answer:
B
Step-by-step explanation:
easy
2x5 is 10, 3x5 is 15
15+10 = 25
25-5 = 20
4x5=20
The company financial officer was interested in the average cost of PCs that had been purchased in the past six months. She took a random sample of the price of 10 computers, with the following results. $3,250, $1,127, $2,995, $3,250, $3,445, $3,449, $1,482, $6,120, $3,009, $4,000. What is the 10th percentile?
Answer:
$1,482 is the 10th percentile.
Step-by-step explanation:
xth percentile:
If a measure is said to be in the xth percentile, it means that x% of the measures are smaller than it, and (100-x)% are larger.
In this question:
10 computers, the 10th percentile is the value that is larger than 10% of the prices.
The prices, sorted in an increasing way, are:
$1,127, $1,482, ...
Computers at a price of $1,482 have larger prices than 10% of the population, so $1,482 is the 10th percentile.
Write the equation of the line in slope intercept form that given f(- 3) = 5 and f(3)=-3,
Step-by-step explanation:
the first coordinate is (-3 5),
x+3y -12 the second coordinate is (3, 3)
y= -1/3x +4
what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth
Find the area of a rectangular carpet the measures 3 1/3 feet by 3 feet
Answer:
10 feet
Step-by-step explanation:
It would be helpful if you can help me with this!
Your uncle is 2 years older than 3 times your age
You are 12 years old. How old is your uncle?
(Look at the picture)
Find the value of x if you solve one please say the question number and you dony have to show work
Answer:
question 1-- x=15
question 2-- x=21
What is the volume of the triangular prism to the nearest whole unit.
Answer: 720ft
Step-by-step explanation:
15 x 3=45
45 x 16= 720
Hope this helps
how much money would be $0.10 for every dollar of $400.00 be?
Answer:
$40
Step-by-step explanation:
400x0.10=40
Graph the equation using slope-intercept form (y=mx +b)
-3x + y = -2
both x-axis in the graph is before 5 or -5
SLOPE-INTERCEPT: y=3x-2
two trains depart the station in different directions. their paths are at a 90-degree angle from one another, as shown in the following illustration. Train 1 leaves the station traveling at 50 mph. Train 2 leaves the station one hour later traveling at 75 mph. Assuming the t represents the time that train 1 had been in route, which of the following inequalities can be used to calculate the values of t for which the distance between the trains is greater than or equal to 100 miles?
Answer:
8125t^2-11250t^2+5625 greater than or equal to > 100
Step-by-step explanation:
PLATO
HALP PLZZ!!! WILL GIVE BRAINLIEST IF CORRECT!!! Which of the following is a correct interpretation of the expression -7 - (-11)?
Choose 1 answer:
(Choice A)
Start at -7 on the number line and move 11 to the left.
(Choice B)
Start at -7 on the number line and move 11 to the right.
(Choice C)
Start at -11 on the number line and move 7 to the left.
(Choice D)
Start at -11 on the number line and move 7 to the right.
Answer:
choice B
Step-by-step explanation:
2 f(x)=x2 + 2x cómo se evalúa?
a) f(3)
b) f(-1)
c) f(x-3)
Answer:
b) f (-1) ese es el resultado
What is the absolute value?
Answer:
228
Step-by-step explanation:
absolute value is total steps away from zero. it's always positive. so the abs of a negative number is just the positive of that number.
Answer:
228
Step-by-step explain
The absolute value is the distance. ... If there is an absolute value of a negative number (l-6l), the distance of it away from zero cannot be a negative distance. So if the distance is always positive, then the absolute value will always be positive.
Which of the following is a regular quadrilateral
A. rectangle
B. square
C. trapezium
D. kite
Answer:
(B) square
Step-by-step explanation:
Square (regular quadrilateral): all four sides are of equal length (equilateral), and all four angles are right angles.
Answer:
B) square is your answer.
Step-by-step explanation:
hope it's help you with write answers.
si lanzas 3 monedas (de diferente denominación) se tienen 8 resultados. ¿cuantos habrá si se lanzan 4 monedas?
Answer:
la respuesta es 16vpor que aumenta 2
write 7^3 × √ 7 as a single power of 7
Step-by-step explanation:
7^3 × 7^(1÷2)
= 7^(3+ 0.5)
=7^3.5 ans
[tex]( {a}^{3})( {a}^{2} ( {a}^{6) }
answer:(a¹¹)
Ce clasă ești sa văd daca te pot ajuta
Which of these are prime numbers? Circle all that apply.
5 7 12 8 11 2 20 45
Answer:
2, 5, 7, 11
Step-by-step explanation:
If my radius is 10 feet, what is my diameter?
Answer:
Your diameter would be 20.
Step-by-step explanation:
1. Two radius added together is the diameter (if you're talking about a circle.)
2. You add 10+10 because as you said your radius is 10.
3. It would be 20.
Hope this helped!
Which ordered pair is a solution of the inequality?
y > 4x - 5
Answer:
(1,1)
Step-by-step explanation:
PLEASE HELP! GIVING POINTS :)!
Answer:
8 23/40
Step-by-step explanation:
8 and 5 have 40 in common. To get from 8 to 40 you need to multiply by 5. You have to do the same to the top and bottom numbers in the fraction. 3/8 turns into 15/40. To get from 5 to 40, you need to multiply by 8. Again, u have to do the same for the top and bottom. 1/5 turns into 8/40. 15/40 + 8/40 = 23/40. Add the whole numbers, 6 and 2, to get 8. So the answer in 8 23/40. Hope this helps!
Answer:
8 23/40
Step-by-step explanation:
Which integer represents this scenario?
an elevator goes down 2 floors
Answer:
We usually define the cases like this as follows:
If we go upwards N units, then we add N.
If we go downwards N units, then we subtract N.
In this case, suppose that the elevator is originally on the floor K (can be any integer number larger or equal than 2)
Then the elevator goes down 2 floors.
Then now the elevator will be on the floor (K - 2)
Then the integer that represents this scenario is -2, which represents the change in the floor number where the elevator is.
[tex]obtain the fourier expansion for sin ax in the interval - | \leqslant \times \leqslant | [/tex]
how to factorise 5h^2-12hg
Answer:
[tex]h(5h-12g)[/tex]
Step-by-step explanation:
[tex]5h^2-12hg[/tex]
When we factor expressions, we look for factors within the terms that are alike, or in other words, we look for common factors. Here, [tex]5h^2[/tex] and [tex]12hg[/tex] only have one common factor: [tex]h[/tex]. Therefore, to factorize this expression, divide both terms by [tex]h[/tex].
[tex]= h(\frac{5h^2}{h}-\frac{12hg}{h} )\\= h(5h-12g)[/tex]
Now, we've "carried" [tex]h[/tex] out of the expression and have therefore factored it.
I hope this helps!
Percent of Discount
Sale Price
$120
80%
Answer:
$96
Step-by-step explanation:
Answer:
The final price after deducting the percent of discount would be $24.
5. Which ordered pair could be added to the
relation below to ensure it continues to be a
function?
(-7, 9), (4, -1), (0, 5), (-2,-2)
A. (4,-4)
B. (5,0)
C. (0, -3)
D. (-7, -1)
please solve ive been asking this question so much
Answer: 30
Step-by-step explanation:
In the somewhat less than towering ski slopes of northeastern Iowa new skiers come to learn to ski. On Big Bunny Slope skiers will fail to make the turn at Big Bend. On Little Bunny Slope, skiers will sometimes tumble at Little Hill. The ski instructors send the new skiers down the two slopes in groups of 30, wait a few moments, and then send the Ski Patrol Ambulance down after them, stopping at Big Bend and then Little Hill. The skiers descend the slopes far enough apart that they don't run into each other, so their spills are all independent.
Required:
a. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Big Bend is 0.35. If we define the random variable B = number of new skiers needing to be driven to the First Aid Station from Big
Bend, we can model this situation as a binomial chance experiment. What is the mean and standard deviation of B?
b. The probability that a random new skier in the group will need to be carried to the First Aid Station after a spill at Little Hill is 0.15. If we define the random variable L = number of new skiers needing to be driven to the First Aid Station from Little Hill, what is the mean and standard deviation of L?
Answer:
A. Mean = 10.5, standard deviation = 2.61247
B. Mean = 4.5, stand deviation = 1.955761
Step-by-step explanation:
Number in a group = 30
So n= 30
A.
It follows the binomial distribution
n = 30, probability p = 0.35
The mean = n*p
= 30x0.35
= 10.5
The standard deviation = √np(1-p)
= √10.5(1-0.35)
= √10.5(0.65)
= √6.825
= 2.61247
B. Probability of a new skier carried = 0.15
n = 30
Mean = n*p
= 30x0.15
= 4.5
The standard deviation = √np(1-p)
= √4.5(1-0.15)
= √4.5(0.85)
= √3.825
= 1.955761
