Answer either true or false.Draw two cards without replacement.A = "the first dealt card is an ace"B = "the second dealt card is an ace!Events A and B are disjointa.Trueb.False
Answers
False. Events A and B are not disjoint as it is possible for both to occur simultaneously. This is because the probability of the second card being an ace increases if the first card is an ace.
Events A and B are not disjoint because if the first dealt card is an ace, then there is one less ace in the deck, making it more likely that the second dealt card will also be an ace.
False.
Events A and B are not disjoint. Disjoint events are the events that cannot both occur at the same time. In this case, it is possible for both A and B to happen: the first dealt card could be an ace, and the second dealt card could also be an ace. Therefore, events A and B are not disjoint.
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Related Questions
select the correct solutions for the system of equations:
10x+y=-20
y=2x^2-4x-16
Answers
Answer:
(-1, -10) and (-2,0) lmk if I made an error
if a triangle has a 50 degree angle and a 60 degree angle, how many degrees is the third angle?
Answers
Answer:
70
Step-by-step explanation:
has to add up to 180 bro.
I KNOW this will help.
Answer:
70
Step-by-step explanation:
The interior angles of a triangle always add up to 180°
the acf for the gap sales is shown above. there is clear evidence in the acf that group of answer choices there is a strong trend in the data. there is no seasonality in the data. the data is too strongly correlated to identify trend. the data is stationary. gap sales have fallen in the last 12 periods.
Answers
Based on the given information about the acf for the gap sales. The statement "there is clear evidence in the acf that there is a strong trend in the data" is correct. so, the correct option is A).
The given statement is correct as the autocorrelation function (ACF) measures the correlation between a time series and its lagged values. If there is a strong trend in the data, it will be reflected in the ACF as a significant correlation at lag 1 and beyond. Therefore, a clear evidence of a strong trend in the data can be observed in the ACF.
However, the other answer choices cannot be determined from the information provided. There is no information provided regarding seasonality or the stationarity of the data, and the information provided is not sufficient to determine whether the data has fallen in the last 12 periods. so, the correct answer is A).
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Expand (5x-2y^3)^2
a. 25x^2 - 20xy^3 + 4y^6
b. 25^2 - 20xy^3 + 4y^9
c. 25^2 - 10xy^3 + 4y^6
d. 25^2 + 4y^6
Answers
The expanded form of (5x-2y^3)^2 is 25x^2 - 20xy^3 + 4y^6. Option C
What are algebraic expressions?These are expressions that are known to consist of terms, variables, factors, constants and coefficients.
They are also known to be made up of arithmetic operations, such as;
MultiplicationDivisionAdditionBracketParenthesesSubtractionFrom the information given, we have;
(5x-2y^3)^2
write fully
(5x - 2y³) (5x - 2y³)
expand the bracket
25x² - 10xy³ - 10xy³ + 4y⁶
collect like terms
25x² - 20xy³ + 4y⁶
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In a piggy bank, the number of nickles is 8 more than half the number of quarters. The value of the coins is $21.85. Determine the number of nickels.
Answers
Answer:
The number of nickels is 47
Step-by-step explanation:
1 nickel is 5 cents while 1 quarter is 25 cents
let the number of nickels be n and the number of quarters be q
From the question;
the number of nickels n is 8 more than half the number of quarters (q/2)
n = q/2 + 8
(n-8) = q/2
q = 2(n-8) = 2n - 16 ••••(i)
let us convert $21.85 to cents
there are 100 cents in $1
Thus; $21.85 will be 21.85 * 100 = 2185 cents
1 nickel is 5 cents; so n nickels will be 5 * n = 5n cents
1 quarter is 25 cents; so q quarters will be 25 * q = 25q cents
The addition of both will give 2185 cents
Thus;
5n + 25q = 2185 ••••••(ii)
Substitute equation i into ii
5n + 25(2n-16) = 2185
5n + 50n - 400 = 2185
55n = 2185 + 400
55n = 2,585
n = 2,585/55
n = 47 nickels
Molly ate 1/4 pint of ice-cream. Her sister did not want the last 2/4 pint of her own ice-cream, so Molly ate it. How much ice-cream did Molly eat? Pint
Answers
Answer:
3/4 a pint
Step-by-step explanation:
1/4 + 2/4 = 3/4
Identification. Read carefully the following statements. Provide the best word that describes each statement. 1. This pattem in nature are also exhibited in the external appearances of the animals. 2. This kind of pattern is exhibited by objects when their similar parts are regularly arranged around a central axis and the pattern looks the same after a certain amount of rotation. 3. These are curved patterns made by series of circular shapes revolving around a central point 4. This kind of pattern is exhibited by objects which do not change its size and shape even if it moved to another location. 5. Describes as an exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a contor or an axis. It indicates that you can draw an imaginary line across an object and the resulting parts are mirror images of each other.INSTRUCTION: Determine the value of term under the Fibonacci sequence. Let Fib (n) be the nth term of
the Fibonacci sequence, with Fib (1) = 1, Fib (2) = 1, Fib (3) = 2, and so on. 1.(3pts)- Find Fib (8) 2.(3pts)- Find
Fib (19) 3.(4pts)- If Fib (22) = 17, 711 and Fib (24) = 46, 368, what is Fib (23)?
Answers
1. The word that describes a pattern in nature that is also exhibited in the external appearances of animals is "symmetry."
Symmetry refers to the balanced arrangement of parts or elements. In nature, many animals display symmetry in their body structure, such as butterflies with their symmetrical wings.
2. The word that describes a pattern exhibited by objects when their similar parts are regularly arranged around a central axis and the pattern looks the same after a certain amount of rotation is "rotational symmetry."
Rotational symmetry occurs when an object can be rotated and still maintain its original appearance. For example, a circle has rotational symmetry because it looks the same after any amount of rotation.
3. The word that describes curved patterns made by a series of circular shapes revolving around a central point is "spiral."
Spirals can be seen in various aspects of nature, like the arrangement of petals in a sunflower or the shape of a seashell.
4. The word that describes a pattern exhibited by objects that do not change their size and shape even if they are moved to another location is "translation symmetry."
Translation symmetry means that an object can be moved without altering its characteristics. For instance, a rectangle has translation symmetry because it remains the same even if it is shifted horizontally or vertically.
5. The word that describes an exact correspondence of form and constituent configuration on opposite sides of a dividing line or plane or about a contour or an axis is "reflection symmetry" or "mirror symmetry."
Reflection symmetry means that an object can be divided into two equal halves, and each half is a mirror image of the other. For example, the letter "A" exhibits reflection symmetry when it is divided vertically down the middle.
Now, moving on to the second part of the question, which involves finding values in the Fibonacci sequence:
1. Fib(8) = 13
2. Fib(19) = 4181
3. Fib(23) = 28,657
1. To find Fib(8), we can use the Fibonacci sequence. Fib(1) = 1, Fib(2) = 1, and each subsequent term is the sum of the previous two terms. So, Fib(3) = Fib(1) + Fib(2) = 1 + 1 = 2.
Similarly, Fib(4) = 2 + 1 = 3, Fib(5) = 3 + 2 = 5, Fib(6) = 5 + 3 = 8, and Fib(7) = 8 + 5 = 13. Therefore, Fib(8) is 13.
2. To find Fib(19), we can continue using the Fibonacci sequence. By applying the same pattern of adding the previous two terms, we find that Fib(19) is 4181.
3. Given that Fib(22) = 17,711 and Fib(24) = 46,368, we can determine Fib(23) by subtracting the known terms
. Since Fib(23) = Fib(24) - Fib(22),
we have Fib(23) = 46,368 - 17,711 = 28,657.
In summary:
1. Fib(8) = 13
2. Fib(19) = 4181
3. Fib(23) = 28,657
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c=30m+50 and c=20m+100
solve for m pls help
Answers
Answer:
m=5
Step-by-step explanation:
c=30m+50
c=20m+100
substitute
20m+100=30m+50
like terms
100-50=30m-20m
50=10m
m=5
Answer:
m = 5
Step-by-step explanation:
We know that c = c.
Since c is also equal to 30m+50 and 20m+100, 30m+50 = 20m+100 is just saying c = c. Then we solve that equation:
30m+50 = 20m+100
Same to both sides
10m = 50
divide by 10
m = 5
Let me know if you have any questions
Tamara walked 5/8 mile in 2 ½ hours. Which of the following represents the unit rate that Tamara walked?
Answers
Help please I need help
Answers
Uisng circle theorems, the angles are
m∠UXV = 72°m∠ST = 21°m∠WV = 108°m∠TW = 93°m∠TUW = 159°What are circle theorems?Circle theorems are theorems that govern the properties of a circle.
To find the given angles in the circle, we proceed as follows
1. m∠UXV
We know that m∠WXS = m∠UXV (vertically opposite angles}
Since
m∠WXS = 72° and m∠WXS = m∠UXVSo, m∠UXV = 72°
2. m∠ST
We know that m∠WXS + m∠ST + m∠TXU = 180° (angle along a diameter)
Making m∠ST subject of the formula, we have that
m∠ST = 180° - m∠WXS - m∠TXU
Since the angles
m∠WXS = 72° and m∠TXU = 87°Substituting the values of the variables into the equation, we have that
m∠ST = 180° - m∠WXS - m∠TXU
m∠ST = 180° - 72° - 87°
m∠ST = 180° - 159°
m∠ST = 21°
So, m∠ST = 21°
3. m∠WV
We know that m∠WXS + m∠WV = 180° (angle along a diameter)
Making m∠WV subject of the formula, we have that
m∠WV = 180° - m∠WXS
Since m∠WXS = 72°
Substituting the values of the variables into the equation, we have that
m∠WV = 180° - m∠WXS
m∠WV = 180° - 72°
m∠WV = 108°
So, m∠WV = 108°
4. m∠TW
We know that m∠WXS + m∠ST = m∠TW
Since
m∠WXS = 72° and m∠ST = 21°Substituting the values of the variables into the equation, we have that
m∠TW = ∠WXS + m∠ST
= 72° + 21°
= 93°
So, m∠TW = 93°
5. m∠TUW
We know that m∠TXU + m∠UXV = m∠TUV
Since m∠TXU = 87° and m∠UXV = 72°
Substituting the values of the variables into the equation, we have that
m∠TUV = ∠TXU + m∠UXV
= 87° + 72°
= 159°
So, m∠TUW = 159°
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Simplifying Polynomials
5) What is the area of a rectangle with side lengths of 3x - 8 and x + 2?
A. 3x² – 2x – 16
B. 3x² + 14x – 16
C. 4x – 6
D. 4x + 10
Answers
Answer:
A
Step-by-step explanation:
Area of a rectangle =
\((3x - 8)(x + 2) = 3x {}^{2} + 6x - 8x - 16 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x {}^{2} - 2x - 16\)
Hence, we choose A.
Find the measure of b.
Please help
Answers
Answer:
125 degrees
Step-by-step explanation:
Using a theorem, you know that angle a is half of 110. Also, in all quadrilaterals inscribed in a circle, the opposite angles are supplimentary. So then, knowing that angle a is 55 degrees, you can come to the conclusion that b is 125 degrees.
Hope this is helpful! :)
What color laundry basket do dirty towels and aprons go in?
A. Green
B. Yellow
Answers
Answer:
green because it sounds like garbage
Step-by-step explanation:
Answer:
the one u want to put em in?
Step-by-step explanation:
Which of the following could be used to calculate the area of the sector in the circle shown above? (6 points)
Answers
Given:
The radius of the circle = 10 in
The angle of the sector = 37 degrees
Required:
To find the area of the sector and choose the correct option.
Explanation:
The area of the sector of the circle is given by the formula.
\(A=\frac{\theta}{360\degree}\pi r^2\)Where r = radius of the circle and
\(\theta=angle\)The area of the sector in the circle is:
\(A=\frac{37\degree}{180\degree}\pi(10\text{ in\rparen}^2\)This matches with the first option.
Final Answer:
The first option is the correct answer.
Which of the following is not equivalent to this expression?
2m + 10m +14+3
A. m +12m +8+9
B. 2m + 10 + 10m +7
C. 6m + 6m - 1 + 18
D. 15m +15 - 3m +2
Answers
Answer:
A
Step-by-step explanation:
the given equation can be simplified to 12m+17
so if we simply the other options we see that A = 13m+17
Please help me i need a good grade :>
How did the temperature change if:
At first it increased by 5% and the increased by 20%
**ACTUAL ANSWERS PLEASE**
Answers
Answer:
up 25%
Step-by-step explanation:
it went increased by 25% from the beginning point
9514 1404 393
Answer:
up 26%
Step-by-step explanation:
The first change multiplied the temperature by 1+5% = 1.05.
The second change multiplied that result by 1+20% = 1.20.
Then the end result was multiplication by ...
1.05 × 1.20 = 1.26 = 1 + 26%
The temperature increased by 26%.
Prove using rules of inference 1. If the band could not play rock music or the refreshments were not delivered on time, then the New Year's party would have been canceled and Alicia would have been angry. If the party were canceled, then refunds would have had to be made. No refunds were made. Therefore the band could play rock music. 2. If you are not in the tennis tournament, you will not meet Ed. If you aren't in the tennis tournament or if you aren't in the play, you won't meet Kelly. You meet Kelly or you meet Ed. It is false that you are in the tennis tournament and in the play. Therefore, you are in the tennis tournament.
Answers
The main answer for the first argument is that we cannot prove that the band could play rock music based on the given premises and rules of inference.
1. Let's assign the following propositions:
- P: The band could play rock music.
- Q: The refreshments were delivered on time.
- R: The New Year's party was canceled.
- S: Alicia was angry.
- T: Refunds were made.
2. The given premises can be expressed as:
(¬P ∨ ¬Q) → (R ∧ S)
R → T
3. To prove that the band could play rock music (P), we need to derive it using valid rules of inference.
4. Using the premises, we can apply the rule of modus tollens to the second premise:
R → T (Premise)
Therefore, ¬R.
5. Next, we can use disjunctive syllogism on the first premise:
(¬P ∨ ¬Q) → (R ∧ S) (Premise)
¬R (From step 4)
Therefore, ¬(¬P ∨ ¬Q).
6. Applying De Morgan's law to step 5, we get:
¬(¬P ∨ ¬Q) ≡ (P ∧ Q)
7. Therefore, we can conclude that the band could play rock music (P) based on the premises and rules of inference.
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(2x + 7 x - 15) - (x + 5)
Answers
Answer: 4(2x-5)
Simplified: 8x-20
Answer:
8x-20
Step-by-step explanation:
Just simplify if this is the answer you're looking for next time be specific with the question
Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
Answers
The equation or system of equations that can be used to determine the number of cats and dogs Bea has in her pet shop is d = 2c - 5 d + 3 = c + 3. We can solve the system of equations using substitution and plug it back into either equation to find the value of d, which is 8 cats and 10 dogs.
How will we determine the number of cats and doge Beas initially had in her pet shop?The equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop is:
d = 2c - 5
d + 3 = c + 3
No, Bea's Pet Shop could not initially have 15 cats and 20 dogs. This is because the equation or system of equations states that the number of dogs is five less than twice the number of cats, which would mean that 15 cats would result in 25 dogs, which is not equal to 20.
To determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop, we can use the equation or system of equations that we previously created.
d = 2c - 5
d + 3 = c + 3
We can solve the system of equations using substitution:
d = 2c - 5
d + 3 = c + 3
d + 3 = c + 3
d = c + 3
2c - 5 = c + 3
2c = c + 8
c = 8
Once we determine the value of c, we can plug it back into either equation to find the value of d:
d = 2(8) - 5
d = 15 - 5
d = 10
Therefore, Bea initially had 8 cats and 10 dogs in her pet shop.
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The complete question is: At Bea's Pet Shop, the number of dogs, d, is initially five less than twice the number of cats, c. If she decides to add three more of each, the ratio of cats to dogs will be – Write an equation or system of equations that can be used to find the number of cats and dogs Bea has in her pet shop. Could Bea's Pet Shop initially have 15 cats and 20 dogs? Explain your reasoning. Determine algebraically the number of cats and the number of dogs Bea initially had in her pet shop.
How many times should Jennifer expect to roll a number less than 3
Answers
Answer: 2/6
Step-by-step explanation:
A dice has 6 possible outcomes, 1, 2, 3, 4, 5, and 6! There are only 2 numbers less than 3 which are 1 and 2 so the possiblity of getting less than 3 every roll is 1/3 or 2/6
What is the domain for f(x) = 1/2(x + 1) + 3?
What is the domain for f(x) = 2?
What is the domain for f(x) = -2(x - 2) + 1?
Answers
Answer:
the domain of f(x) = 1/2(x + 1) + 3 on this graph is [-6,-1] because there are solid dots on -6 and -1
the domain of f(x)=2 on this graph is (-1,2] because there is an open circle on -1 and a solid circle on 2
the domain of f(x) = -2(x - 2) + 1 is (2,6] because there is an open dot on 2 and a solid circle on 6
The domain of the given all three functions are explained below.
What is the function?A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.
We must identify each value of the independent variable (often represented by x) for which the function is specified in order to establish the domain of the function.
A function's domain may be constrained by certain guidelines or limitations, such as:
The domain must be free of any x values that would result in the denominator being 0 since the function could contain a fraction with a denominator that cannot be zero.The domain must be free of any values of x that would turn the expression beneath the radical into a negative expression since the function could contain a square root of a negative number.From the graph, the domain of the given function is f(x) = 1/2(x + 1) + 3 is [-6, -3].
From the graph, the domain of the given function is f(x) = 2 is (-3, 2].
From the graph, the domain of the given function is f(x) = -2(x - 2) + 1 is (2, 6].
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Do you think there is a difference why or why not ?
Answers
Answer:
Yes, girls are more likely to call more.
Step-by-step explanation:
What is the equivalent division statement to 63 x 1/9
Answers
Answer:
7
Step-by-step explanation:
63x1/9
Hope that helps
Have a good day
Mae Ling earns a weekly salary of $390 plus a 5.5% commission on sales at a gift shop. How much would she make in a work week if she sold $4,600 worth of merchandise?
Answers
Answer:
chen como es de tus feb jus montaña
When Sherron inputs the equation 4x + 3 = 4(1 + x) + 1, she gets a
error message. Explain why.
Answers
Answer:
She gets
Step-by-step explanation:
She gets an error message because when solving a linear equation, the coefficient of the variable is not meant to be the same on both sides of the equation because it will equal 0 in the end. In this equation, you will get 4x on both sides and then the last step will be 0= 3. This is an error.
A really fast armadillo can cross a road that is 20.00 meters wide in 10.00 seconds. What is the speed of the armadillo?
A. 2.0 m/s
B. 10 seconds
c. 10 meters
D. 200 m/s
Answers
Answer:
A
Step-by-step explanation:
Speed= Distance/time
20m/10s=2 m/s
find the slope of the line that goes through (3, 7) and (-1, 4)
Answers
The slope of the line that goes through the points (3, 7) and (-1, 4) is 3/4.
The slope formula is: m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are two points on the line. This will allow us to determine the slope of the line that passes through the points (3, 7) and (-1, 4).
When we enter the provided coordinates into the formula, we get:
m = (4 - 7) / (-1 - 3) = -3 / (-4) = 3/4
The pace at which the y-coordinates vary in relation to the x-coordinates is shown by the slope, which expresses how steep the line is. In this instance, the slope of 3/4 means that the y-coordinate increases by 3 units for every 4 units that the x-coordinate increases. Likewise, the y-coordinate falls by 3 units for every 4 units decrease in the x-coordinate.
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Answer:
The slope of the line that goes through (3,7) and (-1,4) is 3/4
Step-by-step explanation:
Apply the formula m = (y₂ - y₁) / (x₂ - x₁) to find the slope.
(x₁, y₁) = (3, 7)
(x₂, y₂) = (-1,4)
= (4 - 7) / ((-1) - 3)
= -3 / -4
Since both of them are negative, they cancel out to 3/4.
Please help asap with correct answer I will give brainliest please!!!
Answers
Answer:
I cant really see it sorry, make it a big bigger please and I will try my best.
Does anyone know the answer?
Answers
3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.
What is an improper fraction:An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
It is called "improper" because its value is greater than or equal to 1, which means it can be simplified to a mixed number.
Here we have
The decimal number is 3.91
To write the given number as an improper fraction
Multiply and divide the given by 100
=> \(3.91 \times \frac{100}{100}\) = \(\frac{391}{100}\)
To write as a mixed fraction divide 391 by 100
On dividing 391 by 100 we get 3 with the remainder of 91
=> 391/100 = 3 91/100
Therefore,
3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.
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Name at least 3 ways you could lose money using person to person apps ?
Answers
Answer:
Step-by-step explanation:
Please I don't understand your question