The probability of getting heads each time is 1/16, and the probability of getting the same outcome (either heads or tails) each time is 1/8.
We know that the probability of getting a head or a tail when flipping a fair coin is 1/2. Let us use this fact to answer the given questions. The probability it will land the same way each time:
The probability of getting heads each time is (1/2) × (1/2) × (1/2) × (1/2) = 1/16.
The probability of getting tails each time is also 1/16.
Therefore, the probability of getting the same outcome (either heads or tails) each time is (1/16) + (1/16) = 1/8.
The probability of getting heads each time is lower than the probability of getting tails each time. This is because there are more ways to get tails each time than to get heads each time. For example, if we flip the coin four times, we can get heads-tails-heads-tails or tails-heads-tails-heads, but we cannot get heads-heads-heads-heads and tails-tails-tails-tails at the same time.
Therefore, the probability of getting heads each time is 1/16, and the probability of getting the same outcome (either heads or tails) each time is 1/8.
Learn more about probability visit:
brainly.com/question/31828911
#SPJ11
ASAP HELP PLEASE WILL MARK BRAINLIST
Answer:
A and D
Step-by-step explanation:
[tex]A)3\frac{2}{3} +\sqrt\frac{36}{4} \\=3\frac{2}{3} + \frac{6}{2} \\=\frac{11}{3} +\frac{6}{2} \\=\frac{22+18}{6} \\=\frac{40}{6} \\\\D)3\frac{2}{3} * \sqrt\frac{36}{4} \\=\frac{11}{3} *\frac{6}{2} \\=11[/tex]
As 40/6 form a ratio and can be expressed in a p/q form where p=40 and q=6, it is rational
As 11 forms a ratio(11:1) and can be expressed in a p/q form where p=11 and q=1, it too is rational
Use set theoretic or vector notation or both to describe the points that lie in the given configurations
v = (1,−1, 2)+t(2, 3, 1) satisfies the equation 5x −3y −z −6 = 0.
To describe the points that satisfy the given equation and configuration, we can use set-theoretic and vector notation.
Set-theoretic notation:
Let A be the set of points that satisfy the equation 5x - 3y - z - 6 = 0 and lie on the line defined by the vector v = (1, -1, 2) + t(2, 3, 1), where t is a real number.
A = {(x, y, z) | 5x - 3y - z - 6 = 0, and there exists t ∈ ℝ such that (x, y, z) = (1, -1, 2) + t(2, 3, 1)}
Vector notation:
Let v0 = (1, -1, 2) be the initial point on the line, and let d = (2, 3, 1) be the direction vector of the line.
The set of points that satisfy the equation and lie on the line can be represented as:
A = {v0 + t * d | 5(v0 + t * d) - 3y - z - 6 = 0, t ∈ ℝ}
In this notation, v0 represents the initial point on the line, t is a scalar parameter, and d represents the direction vector of the line.
Both notations describe the same set of points that satisfy the equation and lie on the given configuration.
Learn more about set-theoretic notation and vector notation in linear algebra here:
https://brainly.com/question/30721877
#SPJ11
4√5+5√5 is equal to ?
A)9√5
B)9√10
C) 5√10
D) 7√5
Answer:
B is the correct answer.
7 + 5v − 0 + 2v − 1 = ______
A man borrowed $3700 from a bank for 6 months. A friend was co-signer of the mans personal note. The bank collected 8.5% simple interest on the date of maturity. A) how much did the man pay for the use of the money B) determine the amount he repaid to the bank on the due date of the note
Answer:
(A) $157.25
(B) $3,857.25
Step-by-step explanation:
The given values are:
Principle (P)
= $3700
Time (T)
= 6 months i.e., 1/2 years
Rate (R)
= 8.5%
(A)
As we know,
Simple Interest,
⇒ [tex]SI=\frac{P\times R\times T}{100}[/tex]
On putting the values, we get
⇒ [tex]=\frac{3700\times 8.5\times \frac{1}{2} }{100}[/tex]
⇒ [tex]=\frac{15,725}{100}[/tex]
⇒ [tex]=157.25[/tex] ($) (he paid for the use of money)
(B)
Amount he paid to the bank will be:
⇒ [tex]P+SI[/tex]
⇒ [tex]3700+157.25[/tex]
⇒ [tex]3,857.25[/tex] ($)
The Ladybugs are coming to town for a concert. There is such excitement that the concert hall has set up six lines at the box office. Interestingly, the first line is very very long, but the second line has one person more than the first line, and the third line has one more person than the second line and so on, Each of the other line has one more person than the one before it. Altogether, there are 327 people in all six lines. How many people are in each of the six lines?
Answer:34
Step-by-step explanation:
What is the numerical coefficient of the variable m.
m/6
Answer:
Step-by-step explanation:
xy is the coefficient of 6m, mxy is the coefficient of 6 and so on……. Note: In the term 'm', the coefficient of m is 1 since 1 times m is equal to m. Similarly, in the term '-m' the coefficient of m is -1 since -1 times m is equal to -m.
Will mark brainliest!
Plz help
Answer:
x = 6
Step-by-step explanation:
Answer:
this is technically not a function, but y<15
Step-by-step explanation:
Consider statements p, q, and r. p: It is raining. q: Sam is wearing a hat. r: It is winter. For each part below, fill in the symbolic form. Descriptive form Symbolic form (a)If it is raining then Sam is not wearing a hat, and it is not winter. (b)It is winter or Sam is wearing a hat, if and only if it is not raining.
Answer:
a) [tex]p\rightarrow \neg q \wedge \neg r[/tex]
b) [tex]r\vee q \iff \neg p[/tex]
Step-by-step explanation:
Given statements:
[tex]p:[/tex] It is raining
[tex]q:[/tex] Sam is wearing a hat
[tex]r:[/tex] It is winter
To find:
The symbolic forms for the following:
a) If it is raining then Sam is not wearing a hat, and it is not winter.
b) It is winter or Sam is wearing a hat, if and only if it is not raining.
Solution:
a) The statement followed by 'if ' is written on the left hand side and the statement followed by 'then' is written after the symbol [tex]\rightarrow .[/tex]
Not of a statement [tex]s[/tex] is represented as [tex]\neg s[/tex].
And is represented by [tex]\wedge[/tex] symbol.
Therefore, the statement in symbolic form becomes:
[tex]p\rightarrow \neg q \wedge \neg r[/tex]
b) Not of a statement [tex]s[/tex] is represented as [tex]\neg s[/tex].
Or is represented by [tex]\vee[/tex] symbol.
If and only if is represented by the symbol [tex]\iff.[/tex]
Therefore, the statement in the symbolic form becomes:
[tex]r\vee q \iff \neg p[/tex]
A company buys a new bulldozer for $134350. The company depreciates the bulldozer linearly over its useful life of 21 years. Its salvage value at the end of 21 years is $11500. Depreciation is the decrease or loss in value of the equipment due to age, wear, or market conditions. A) Express the value of the bulldozer, V, in terms of how many years old it is, t. V = _______B) The value of the bulldozer after 5 years is $
A)The expression for the value of the bulldozer in terms of how many years old it is, t, is: V = $134,350 - ($5,530.95 * t) B) The value of the bulldozer after 5 years is $106,695.25.
To express the value of the bulldozer, V, in terms of how many years old it is, t, we can use the concept of linear depreciation. Linear depreciation assumes that the value decreases at a constant rate over time. In this case, the initial value of the bulldozer is $134,350, and it depreciates over 21 years.
The depreciation per year can be calculated by subtracting the salvage value ($11,500) from the initial value and dividing it by the useful life of the bulldozer:
Depreciation per year = (Initial value - Salvage value) / Useful life
Depreciation per year = ($134,350 - $11,500) / 21
Now, we can express the value of the bulldozer, V, in terms of the number of years, t, using the depreciation per year:
V = Initial value - (Depreciation per year * t)
V = $134,350 - ([$134,350 - $11,500] / 21) * t
B) To find the value of the bulldozer after 5 years, we substitute t = 5 into the expression:
V = $134,350 - ($5,530.95 * 5)
V = $134,350 - $27,654.75
V = $106,695.25
Learn more about linear depreciation visit here:
brainly.com/question/3887377
#SPJ11
Part 1 out of 2 Select the word problem that can be modeled by the addition of two negative numbers. A Virginia sold her pottery for $5 and then sold a hat for $2. By how much did Virginia's account change after her transactions? B Amir bought a VCR for $8 and then resold it for $9. By how much did Amir's account change after his transactions? C Polly bought a cracker for $4 and then bought a parrot for $2. By how much did Polly's account change after her transactions? D Marcus sold a cat for $9 and then bought a plant for $4. By how much did Marcus's account changed after his transactions?
Answer: C Polly bought a cracker for $4 and then bought a parrot for $2
-$6
Step-by-step explanation:
Word problem which can be modeled by the addition of two negative numbers :
Option A:
Selling or making a sales will yield a positive value
OptionB:
Purchasing is negative, however, reselling is positive
OptionC:
Purchasing a cracker (c) for $4 = - 4
Purchasing a parrot (p) for $2 = - 2
Hence, both are negative
c + p
-4 + (-2)
= - $6
Option D:
Selling is positive ; purchasing is negative
Catherine saved some money and plans to add the same amount each week to her savings account. The table represents the number of weeks that she will save, x, and the total amount of money that she will have in her account, y.
Weeks, x
Dollars in account, y
4
74
6
86
9
104
11
116
Which linear equation represents Catherine’s situation?
y = one-sixth x + 70
y = 6 x + 50
y = StartFraction 1 Over 9 EndFraction x + 104
y = 11 x + 116
Answer:
b y=6x+50
Step-by-step explanation:
i got it right hope this helps
Answer:
B-y = 6 x + 50
Step-by-step explanation:
Tony notes that an electronics store is offering a flat $20 off all prices in the store. Tony reasons that if he wants to buy something with a price of $50, then it is a good offer, but if he wants to buy something with a price of $500, then it is not a good offer. This is an example of: inconsistent reasoning; saving $20 is saving $20. the proper application of the Cost-Benefit Principle. inconsistent reasoning because prices are sunk costs. rational choice because saving 40% is better than saving 4%.
Answer: inconsistent reasoning; saving $20 is saving $20
Step-by-step explanation: Tony's reasoning would be deemed as being inconsistent because the discount offered on sale of items isn't based on proportion rather it is based on a specified amount. Tony is basing is judgement on percentage rather the specified discount amount on product. Hence, thinking the offer isn't good when buying more expensive product is erroneous as the offer isnt based on proportion and the same specified amount is saved across all items purchased.
-4|6b-8|≤ 12
what is the answer?
Store A charges $1,200 for repairs with a 6 percent sales tax. Store B charges $1,350 with a 7 percent sales tax. Explain how you would determine the amount of money saved by using Store A instead of Store B?
Answer:
The total repair cost for each store is the cost of repairs added to the sales tax. The amount of money saved will be the difference between the two total costs.
Answer:
Gratuity of $180 I would multiply the actual repair cost without including tax to determine the gratuity. So just multiply $1200 by 0.15 getting $180. As an suggestion, calculating 15% in your head is actually quite simple. What you do is calculate 10%, divide that in half, then add together. So for the $1200 example, you have 1200/10 = 120 half of 120 is 60 120 + 60 = 180 So you have a top of $180.
Step-by-step explanation:
For each of the following statements, determine whether the statement is true or false (the latter including "not necessarily true"), and provide a brief explanation.
(a) A situation where everyone is playing a dominant strategy must be a Nash equilibrium.
(b) In a Nash equilibrium, everyone must be playing a dominant strategy.
(c) A two-person game in which each person has access to only two possible strategies will have at most one Nash equilibrium.
(d) In the following game, there exists only one pure-strategy equilibrium.
(e) In the following game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) (i.e., plays both strategies with equal probability) then player 1 strictly prefers playing (1/2∘H,1/2∘ T ) to playing either H or T with probability 1.
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium.
(d) True. Without specific details about the game provided,
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T)
(a) False. A situation where everyone is playing a dominant strategy does not necessarily guarantee a Nash equilibrium. A Nash equilibrium occurs when no player can unilaterally change their strategy to improve their own payoff, regardless of what other players do. It is possible for a situation with dominant strategies for each player to result in a Nash equilibrium, but it is not a guarantee.
(b) False. In a Nash equilibrium, players may or may not be playing a dominant strategy. A Nash equilibrium simply represents a stable outcome where no player has an incentive to deviate from their chosen strategy given the strategies chosen by others. Players could be playing non-dominant strategies and still reach a Nash equilibrium.
(c) Not necessarily true. A two-person game with only two strategies for each player can have more than one Nash equilibrium. The number of Nash equilibria is not solely determined by the number of strategies available to each player but also depends on the payoffs and interactions between the strategies chosen by each player.
(d) True. Without specific details about the game provided, we cannot definitively determine if there exists only one pure-strategy equilibrium. However, if it is stated that there is only one pure-strategy equilibrium, then the statement would be true.
(e) False. In the game of matching pennies, if player 2 plays (1/2∘H,1/2∘T) with equal probability, player 1 does not strictly prefer playing (1/2∘H,1/2∘T) over playing either H or T with probability 1. Player 1's preferred strategy would depend on their own payoffs and the corresponding payoffs associated with the opponent's strategies. Without additional information about the payoffs in the game, we cannot make a definitive judgment on player 1's preferences.
Learn more about dominant strategy from
https://brainly.com/question/32794166
#SPJ11
A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than twice the width w, and the height is 1 foot less than the width.
Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet. Your answer should be in the form of a polynomial equals a constant.
Answer:
Step-by-step explanation:
v=240
l= 2(w)-4
h=(w-1)
v= l*w*h
240=(2w-4)(w-1)w
we then foil
(2w^2 - 6w + 4) w
lastly multiply the w in
ANSWER: 2w^3 - 6w^2 + 4w = 240
The total land area on Earth is about 6 × 107 square miles. The land area of Australia is about 3 × 106 square miles. About how many times larger is the land area on Earth than the land area of Australia?
simplify the expression:
2 (-2 - 4r) =
Answer:
-8r-4
Step-by-step explanation:
2(-2-4r)=?
2(-2)= -4
2(-4r)= -8r
2(-2-4r)=-8r-4
Answer:
brainliest plssssssss
Step-by-step explanation:
2(−2−4r)
=(2)(−2+−4r)
=(2)(−2)+(2)(−4r)
=−4−8r
=−8r−4
Simplify the radicals
3√2 ÷ √50
and
√8 ÷ √100
If you could show your work, I would greatly appreciate it.
Which diagram shows lines that must be parallel lines cut by a transversal?
Answer:
2nd diagram
Step-by-step explanation:
2nd diagram shows lines that must be parallel lines cut by a transversal.
In the second diagram, line m is transversal of lines r and s, which is making corresponding angles of 91°.
So, line r || line s.
The diagram that represent the lines where it must be parallel lines cut by a transversal should be considered 2nd diagram.
What is transversal?In terms of geometry, a transversal refer to the line that passes via two lines in the similar plane at two different points. Transversals play a vital role in creating whether two or more other lines should be considered in the Euclidean plane are parallel.
Hence, The diagram that represent the lines where it must be parallel lines cut by a transversal should be considered 2nd diagram.
Learn more about parallel here: https://brainly.com/question/18057835
Consider the following statement: If 4x = 8, then x = 2. What is the inverse of the statement? If 4x ≠ 8, then x ≠ 2. If x = 2, then 4x = 8. If 4x = 8, then x = 2. If x ≠ 2, then 4x ≠ 8.
Answer:
If x = 2, then 4x = 8
Step-by-step explanation:
In mathematics, an inverse function or statement can be described as a function or statement which reverses another function or statement.
In the question, we are given:
If 4x = 8, then x = 2
That is, x = 2 is obtained by solving fo x from 4x = 8 as follows:
4x = 8
x = 8 / 4
x = 2
From the options given, on the statement "if x = 2, then 4x = 8" reverses the statement "if 4x = 8, then x = 2". This is because x = 2 now comes first before 4x = 8 as against what obtained initially where 4x = 8 comes first before x = 2.
Therefore, the correct option is "If x = 2, then 4x = 8".
Answer:
So if x would equil 2, then (4x) = 8
Step-by-step explanation:
Because
Locate quadrilateral ABCD and quadrilateral EFGH on the coordinate plane. Use GeoGebra to identify the transformations that will map ABCD onto EFGH, and then describe them in the table. Enter the coordinates of the vertices of the images that you created. Paste a screen capture of the images below the table.
Answer:
See image attached
Step-by-step explanation:
The new coordinate of point E will be (1,1),
the new coordinate of point F will be (2,3),
the new coordinate of point G will be (-1,2),
the new coordinate of point H will be (0,1).
What is the transformation?A transformation is the shifting of the picture for changing the shape or position of a point or a geometric figure.
Transformation is a translation of the figure by which the orientation or size of a given figure is changed without any single effect on the shape.
What is the rotation?A rotation is one kind of translation in which the object rotates about a fixed point or axis. The direction of rotation may be either clockwise or anticlockwise.
As we know if we rotate a point of coordinate (x,y) 90° counter clockwise then the new coordinate of the point will be (-y,x).
Here the new coordinate of point A(1,-2) will be (2,1).
the new coordinate of point B(3,-1) will be (1,3).
the new coordinate of point C(2,-4) will be (4,2).
the new coordinate of point D(1,-3) will be (3,1).
As we know if we reflect the point of coordinate (x,y) about the y-axis then the new coordinate will be (-x,y).
Here the new coordinate of point A(2,1) will be (-2,1).
the new coordinate of point B(1,3) will be (-1,3).
the new coordinate of point C(4,2) will be (-4,2).
the new coordinate of point D(3,1) will be (-3,1).
As we know if we translate the point of coordinate (x,y) 3 units right then the new x coordination will be increased by 3. And the new coordinate will be (x+3,y).
Here the new coordinate of point A(-2,1) will be (1,1).
the new coordinate of point B(-1,3) will be (2,3).
the new coordinate of point C(-4,2) will be (-1,2).
the new coordinate of point D(-3,1) will be (0,1).
Therefore the final answer is attached below with a graph.
Learn more about transformation
here: https://brainly.com/question/1548871
#SPJ2
–5(–2) = WILL GIVE 20 POINTS
Answer:
10Step-by-step explanation:
-5 (-2) = 10
Hellllppppppeee pleaseeee!!!!!!
Answer:
Scale Factor = 2
Step-by-step explanation:
ABC is your original triangle and A'B'C' is the dilation. You know these are similar triangles so only one side has to be used to find the scale factor. AB has a length of 3 and A'B' has a length of 6 so you know the side lengths of A'B'C' are going to be 2 times the size of triangle ABC side lengths. This gives you a scale factor of 2.
HELP PLEASE 80 POINTS
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the equation. 4(px 1)=64 The value of x in terms of p is . The value of x when p is -5 is .
Answer:
x = 15/px = -3Step-by-step explanation:
Given4(px + 1)=64FindSolve for xFind x when p = -5Solution4(px + 1) = 644(px + 1)/4 = 64/4px + 1 = 16px = 15x = 15/pWhen p = -5, substitute p:
x = 15/px = 15/(-5) = -3Answer:
x = 15 px = -3Step-by-step explanation:
given equation: 4(px + 1) = 64
find
value of x in terms of p
let p = -5
4 (px + 1) = 64
4px + 4 = 64
x = 64 - 4
4p
x = 15
p
plugin the given value of p = -5
x = 15
-5
x = -3
2 units down
2) reflection across the x-axis
1).
)
A) J\(-2,-4), K (2, -1), L (2,-5)
B) K(5,0), L(5, 4), J'(1,3)
C) K (5,-2), L'(5,2), J'(1, 1)
D) J'(-1,3), K (-5,0), L'(-5, 4)
D
Answer:
A
Step-by-step explanation:
Given f(x)=2x+1, find the domain value if the range is 4
5 = 2x - 1
+1 +1
---------------
2x = 4
-- --
2 2
x = 2. Then the domain point is x = 2 when y = 5. So, the domain point is (2,5).
what is PEMDAS? and how do you use it?
Answer:
please excuse my dear aunt sallyStep-by-step explanation:
PEMDAS is an acronym for the words parenthesis, exponents, multiplication, division, addition, subtraction. For any expression, all exponents should be simplified first, followed by multiplication and division from left to right and, finally, addition and subtraction from left to right.
PEMDAS stands for Parentheses, Exponents, Multiply, Divide, Add, and Subtract.
How to use it?
Well, if you have a problem like:
19 + 4 x 3.
If someone didn't know the rule of PEMDAS, they would start from the beginning of the problem, but no.
If you follow the rule, MULTIPLYING comes before ADDING. So you need to solve whatever comes first in PEMDAS.
4 x 3 = 12, then plus 19 = 31
Did this help ? :)
HEY CAN ANYONE ANSWER DIS!!
Answer:
Option CStep-by-step explanation:
From the table we can see that
The rate of change is (slope)
$90 - $65 = $25Zero point (y-intercept) considering same rate is
$65 - $25 = $40The rule for the total cost is:
y = mx + by = 25x + 40Correct option is C
