A deck of cards is shuffled, if we want to know the chance that the top card is the ace of spades or the bottom card is the ace of spades, we will use: Neither of the rules Addition rule Multiplication rule & Either of the rules
Answers
We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.
The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.
The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:
P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)
= 1/52 + 1/52
= 2/52
= 1/26
So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.
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The probability is 2/52 or 1/26.
To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the
Addition rule.
Calculate the probability of the top card being the ace of spades:
There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.
Calculate the probability of the bottom card being the ace of spades:
This is also 1/52 since there's still 1 ace of spades among the 52 cards.
Apply the Addition rule:
Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as
the ace of spades can't be in both positions).
So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.
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Related Questions
There are 60 marbles in a bowl. Their colors are red, blue, and yellow. 1/3 of the marbles are yellow, 1/4 of the marbles are blue. How many red marbles are there in the bowl
Answers
Answer: 25 red marbles
Step-by-step explanation:
Fraction of yellow marbles = 1/3
Fraction of blue marbles = 1/4
Fraction of red marbles = 1 - (1/3 + 1/4) = 5/12
Therefore, the number of red marbles that are there in the bowl would be:
= 5/12 × 60
= 25 red marbles
Combine like terms to create an equivalent expression. −
3. 6
−
1. 9
�
+
1. 2
+
5. 1
�
−3. 6−1. 9t+1. 2+5. 1tminus, 3, point, 6, minus, 1, point, 9, t, plus, 1, point, 2, plus, 5, point, 1, t
Answers
After combining like terms to create equivalent expression we get (-1.9 + 1.2) + (5.1 - 3.6)t. Simplifying further, we get: -0.7 + 1.5t.
To combine like terms, we add or subtract the coefficients of the same variables. In this case, the variables are t and the constant terms (without variables) are -3.6, -1.9, and 1.2.
So the equivalent expression after combining like terms is:
(-1.9 + 1.2) + (5.1 - 3.6)t
Simplifying further, we get:
-0.7 + 1.5t
A coefficient is a numerical factor that is multiplied by a variable in an algebraic expression. It tells you how many times the variable appears in the expression. For example, in the expression 3x + 2, the coefficient of x is 3. Variables are symbols used to represent unknown quantities in mathematical equations or expressions. They can take on different values, and their value can be solved for using algebraic techniques. Equivalent expressions are expressions that have the same value for all possible values of the variables involved. For example, 2x + 4 and 4 + 2x are equivalent expressions since they simplify to the same value. Equivalent expressions can be useful in simplifying and solving algebraic equations.
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Complete Question
Combine like terms to create an equivalent expression. −
3. 6−1. 9+1. 2+5. 1 −3. 6−1. 9t+1. 2+5.
Can you help me please?
Answers
Answer:
3 3/5
Step-by-step explanation:
12/5 × 9/6
2/5 × 9
18/5
= 3 3/5
help question 21 plzzz
Answers
Answer:
2,4
Step-by-step explanation:
like 2 down and 4 down
When the expression (x 2)2 4(x 2) 3 is rewritten as the
product of two binomials, the result is
(1) (x 3)(x 1)
(3) (x 2)(x 2) (2) (x 5)(x 3)
(4) (x 6)(x 1)
Answers
Answer:
(x+5)(x+3)
Step-by-step explanation:
tbh i needed help too, saw you didn’t have an answer so i winged it and got it right
The product of two binomials, the result is 1. (x 3)(x 1)
What are two binomials?
It is easy to remember binomials as bi means 2 and binomial will have 2 terms. An old example is the following: 3x + 4 is binomial and polynomial, while 2a (a + b) 2 is also binomial (a and b are binomial elements). The above are both binomials.
What is a binomial example?Binomial is a two-term polynomial. For example, x - 2 x-2 x − 2 and x - 6 x-6 x − 6 are both binomials.
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Can y’all help me plsss
Answers
As you see the base was 12 and became 36 which means increased by 3 so we need to increase rest by 3 which gives 10x3 =30 and 13x3 = 39.
The price of a stock decreased by $20\%$ in 2001, and then decreased by $20\%$ in 2002. What percent increase in 2003 will restore the price to its value at the beginning of 2001? Express your answer to the nearest hundredth. Please explain!
Answers
oh come on
(read the comments(all of them))
A rectangular prism has a volume of 5x2 + 45x-180.
Its base has a length of x-3 and a width of 5.
Which expression represents the height of the prism?
1) x-3
2) x² + 9x-36
3) X-9
4) x+12
Answers
No blank answers or files or silly answers or you will be reported
Write 12 as a product of primes use index notion when giving your answer
Answers
Answer:
Step-by-step explanation:
12 = 2 * 6
= 2 * 2 * 3
= 2² * 3
what’s the equation of the line?
Answers
Answer:
try those math apps
Step-by-step explanation:
For what digit $d$ is the five-digit number $2345d$ a multiple of 9?
Answers
The value of the digit, d for which the given five digit number is a multiple of 9 is; 4.
What value of d renders the given five digit number a multiple of 9?It follows from the task content that the value of digit, d for which the given number is a multiple of 9 be determined.
On this note, let's assume d is 0; so that we have;
23,450 / 9
= 2605 remainder 4.
On this note, the required next closest number that is a multiple of 9 is; 23,454.
Ultimately, the required value of digit, d is; 23,454.
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A car travelled at 50 km/hr for 3 hours How far did the car travel?
Answers
Answer:
25km
Step-by-step explanation:
50 km = x km
1 hr 3 hrs
From there, you cross-multiply and solve for x.
(50 km)*(3 hrs) = (x km)*(1 hr)
x km = (50)*(3)/(1) = 150km
Now, your other question can be answered the exact same way. 30 minutes is the same as 1/2 of an hour, so just put 0.5hrs in where the 3hrs was in the previous problem. So to show you how it works once more, here are your calculations:
50 km = x km
1 hr 0.5 hrs
(50 km)*(0.5 hrs) = (x km)*(1 hr)
x km = (50)*(0.5)/(1) = 25km
I hope that helps!
What is the answer in---- increase the difference between 456.674 and 234.458 by 345.856?
Answers
Answer:
Step-by-step explanation:
To increase the difference between 456.674 and 234.458 by 345.856, we follow the following steps :
Step 1: Subtract 456.674 from 234.458 and,
Step 2: Add 345.856 to the result.
so, 456.674 - 234.458 = 222.216
222.216 + 345.856 = 568.072
Therefore, the increased difference between 456.674 and 234.458 by 345.856 is 568.072
Can some one help me with this question its hard :( down below ill give brainliest
Answers
Answer:
3^3 = 27, so C
Please give brainliest :)
Use technology to find the P-value for the hypothesis test described below.
The claim is that for a smartphone carrier's data speeds at airports, the mean is 13.00 Mbps. The sample size is n=28 and the test statistic is t=-1.715.
Answers
The P-value for a two-tailed test with a test statistic of t=-1.715 and 27 degrees of freedom is approximately 0.098. We can calculate it in hte following manner.
To find the P-value for this hypothesis test, we can use technology such as a statistical software program or a calculator with built-in statistical functions.
Using a t-distribution calculator, we can input the sample size (n=28), degrees of freedom (df = n-1 = 27), and the test statistic (t=-1.715). From this information, we can find the P-value associated with the test statistic.
The P-value for a two-tailed test with a test statistic of t=-1.715 and 27 degrees of freedom is approximately 0.098.
Therefore, we would fail to reject the null hypothesis (that the mean data speed at airports is 13.00 Mbps) at a significance level of 0.05, as the P-value is greater than the chosen level of significance.
To find the P-value for the hypothesis test described, you can use a t-distribution calculator or statistical software. Here's a summary of the given information:
1. Claim: The mean data speed for a smartphone carrier at airports is 13.00 Mbps.
2. Sample size (n): 28
3. Test statistic (t): -1.715
Using a t-distribution calculator or statistical software with the provided information (n-1 = 27 degrees of freedom and t = -1.715), you'll find that the P-value is approximately 0.097.
So, the P-value for this hypothesis test is about 0.097.
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What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answers
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation:
How do you write the nth term rule for the sequence
1
,
3
,
5
,
7
Answers
basically the answer is 2n-1 2n comes from the difference to get from 1 to three and the -1 from 2n to get to 1 you need to minus 1 so you get -1
The linear function F is defined as f(x) = -2x + 3. Consider the graph of y = f(x) in the xy-Plane.
If the function g(x) = f (x) + k, where k = 2, describe the changes to the slope and y-intercept of this transformation.
Answers
The changes to the slope and to the intercept of the linear function after the transformation g(x) = f(x) + k, in which k = 2, are given as follows:
The slope remains constant.The intercept is increased by two.What is the definition of a linear function?The slope-intercept definition of a linear function is presented as follows:
y = mx + b.
In which the coefficients are given as follows:
m is the slope.b is the y-intercept.The function f(x) in this problem is given as follows:
f(x) = -2x + 3.
Meaning that it has a slope of -2 and and intercept of 3.
The function g(x) is defined as follows:
g(x) = f(x) + k.
Since k = 2, we have that:
g(x) = f(x) + 2
g(x) = -2x + 3 + 2
g(x) = -2x + 5.
Hence the slope and the intercept are given as follows:
Slope of -2, which is the same as f(x).Intercept of 5, which is an increase of 2 compared to the intercept of f(x).More can be learned about linear functions at https://brainly.com/question/24808124
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HELPP QUICK PLEASE
Select the correct answer from each drop down menu
Answers
The graph shown fails the vertical line test at (2, 3) and (2, -2). So, the graph is not a function.
What is a vertical line test?In Mathematics, a vertical line test is a technique which is typically used to determine whether or not a given relation is a function.
According to the vertical line test, a vertical line must cut through the x-coordinate (x-axis) on the graph of a function at only one (1) point, in order for it to represent a function. Else, the relation does not represent a function because it can only have one output value (y) for a unique input value (x).
In conclusion, we can reasonably infer and logically deduce that the relation graphed above does not represent a function because it failed the vertical line test at point (2, 3) and point (2, -2).
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
be sure to answer all parts.a small hole in the wing of a space shuttle requires a 24.7 cm2 patch.(a) what is the patch's area in square kilometers (km2)? enter your answer in scientific notation.× 10km2(b) if the patching material costs nasa $3.82/in2, what is the cost of the patch to the nearest cent?$
Answers
The patch's area is 2.47 × 10^(-6) km².
The cost of the patch is $14.61.
(a) The area of the patch in square kilometers (km²) can be found by converting the given area in square centimeters (cm²) to square kilometers.
1. Convert cm² to m²: Divide the given area by 10,000 since 1 m² is equal to 10,000 cm².
24.7 cm² ÷ 10,000 = 0.00247 m²
2. Convert m² to km²: Divide the area in m² by 1,000,000 since 1 km² is equal to 1,000,000 m².
0.00247 m² ÷ 1,000,000 = 2.47 × 10^(-6) km² (scientific notation)
The patch's area is 2.47 × 10^(-6) km².
(b) To find the cost of the patch, we need to multiply the area of the patch by the cost of the patching material.
1. Convert the cost of the patching material to cost per cm²: Divide the given cost by 1 square inch since 1 square inch is approximately equal to 6.4516 cm².
$3.82/in² ÷ 6.4516 cm²/in² = $0.592/cm² (rounded to the nearest cent)
2. Multiply the cost per cm² by the area of the patch in cm² to find the total cost of the patch.
$0.592/cm² × 24.7 cm² = $14.61 (rounded to the nearest cent)
The cost of the patch is $14.61.
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Mak owns a shoe store in a neighborhood with other shoe stores. Demand for the products she sells is probably _________________. (Select the best answer.) Question 5 options: Time-based Inelastic Need-based Elastic
Answers
Best answer for statement Mak owns a shoe store in a neighborhood with other shoe stores. Demand for products she sells is probably would be 'Need-based.'
'Need-based' implies that the demand for the products sold at Mak's shoe store is driven by customers' needs.
Rather than being highly influenced by factors such as time or price elasticity.
This suggests that customers in the neighborhood have a consistent and ongoing need for shoes, making the demand relatively stable.
In contrast, 'Time-based' demand would indicate that the demand for shoes varies significantly based on specific periods or seasons.
Such as increased demand during holidays or specific times of the year.
'Elastic' demand refers to a situation where the demand for a product is highly responsive to changes in price.
This means that a small change in price could significantly affect the quantity of shoes demanded by customers.
Considering the context of other shoe stores in the neighborhood,
It is reasonable to assume that the demand for shoes at Mak's store is primarily driven by customers' need for footwear.
Making it a need-based demand.
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A train travels with a constant speed of 108 km/h. How long will it take to travel a distance of 270 kilometers? PLEASE HELLLLLLPPPP THERE BRAINLIEST
Answers
Answer:
The answer is 2.5 hours. That's how long it would take the train to travel 270 kilometers.
mark me brainliest!
What is the sum of negative nine and negative two?
Answers
Answer:
-7
Step-by-step explanation:
-9+(-2)
-9+2=
-7
SOMEONE PLZZZ HELP ME WITH THIS QUESTION!! I'd be immensely grateful :/
Answers
Answer:
Step-by-step explanation:
First let's find the value of x :
We khow that the area of this triangle is 400 and it is given by the product of the base and the height over 2
the base is x the height is 2x Let A be the area : A= (2x*x)/2 =2x²/2 =x² so x²= 400 ⇒ x= 20≥ 0 because it's a distanceLet's find the hypotenuse :
The pythagorian theorem :
h²= x²+(2x)² h²= x²+ 4x²h²= 5x² x=20⇒ h²= 5*(20)²h²= 2000h= 20\(\sqrt{5}\) ≥0 because it is a distanceB•h/2
B= x and H= 2x
Therefore 2x • x /2 = 400
2x^2 = 800
x^2 = 400
x = - or + 20
However since it’s the area it cannot be negative therefore the x value is 20
So the height is 40 (2x) while the base is 20 (x)
B) Given that the base is 20 and the height is 40, you can use Pythagoras Theorem where:
a^2 + b^2 = c^2
So 20^2 + 40^2 = 400 + 1600 = 2000
C^2 = 2000
C = square root 2000 ( insert in calculator and round up)
That gives you the hypotenuse.
if researchers measure every member of a population, they have a. collected a sample. b. increased internal validity. c. conducted a census. d. biased the study.
Answers
If researchers measure every member of a population, they have conducted a census. Correct option is C.
A census is a method of data collection that involves measuring or collecting information on every member of a population of interest.
Conducting a census can provide highly accurate and representative data for the entire population, as it eliminates the potential for sampling error or bias. This means that a census can greatly increase the external validity of a study, as the findings can be generalized to the entire population.
However, conducting a census can be time-consuming, resource-intensive, and impractical for certain populations or research questions. In some cases, a sample may be more feasible or appropriate for achieving the research objectives.
Therefore, while conducting a census can provide a high level of internal validity and eliminate potential sampling bias, it is not always the most practical or feasible method of data collection, and researchers must carefully consider the trade-offs between census and sampling methods depending on the specific research question and population of interest.
Therefore, correct option is C.
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Please send help!
What is the range of this radical function?
F(x) = x-2+4
A. 2
B. -2
C. 4
D. -4
Answers
Answer:
B) -2
Step-by-step explanation:
Hope this helps. Good luck...
the temperature was 22. the wind chill made it feel like -8 what is he differences
Answers
Answer:
14
Step-by-step explanation:
Temperature start at 22 and then feel like a -8
Difference = 22-8=14
Timmy has stamps. He wants to organize them on pages that hold stamps each. He has pages. Does Timmy have enough pages to organize all his stamps?
Answers
Using division we can infer that 50 pages will not be enough.
Division is one of the four basic arithmetic operations, or the process by which two numbers are added together to produce a new number.
Multiplication, subtraction , and addition make up the remaining operations. The division with remainder, also known as Euclidean division, of two natural numbers produces an integer quotient, which is the number of times the second number is entirely contained in the first number, and a remainder, which is the portion of the first number that is left over, when it is impossible to allocate any more full chunks of the size of the second number during the computation of the quotient after the division.Timmy has 810 stamps.
Now each page can hold 16 stamps and he has 50 pages.
Now we will divide 810 by 16 to calculate the number of pages required to put all the stamps.
∴ 810 ÷ 16 = 50 remainder 10.
Therefore after completing the 50 pages there are 10 stamps left.
Hence from division we can infer that 50 pages will not be enough.
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Disclaimer : the complete question is :
Timmy has 810 stamps. He wants to organize them on pages that hold 16 stamps each. He has 50 pages. Does Timmy have enough pages to organize all his stamps?
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I need help with this problem
Answers
Answer:
6/5
Step-by-step explanation:
a student committee is to consist of 3 seniors and 4 juniors. a total of 6 seniors and 8 juniors have volunteered to serve on the committee. how many committees are possible?
Answers
One student committee consists of 3 seniors and 4 juniors.
If 6 seniors and 8 juniors volunteer, it’s double the people that consist in one student committee, because 3x2= 6 and 4x2=8
So i think it’s 2 (so sorry if i’m wrong)