It is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card because the two events are not independent.
Why is it wrong to say that the probability of getting two red cards is same?The probability of getting a red card on the first draw is 26/52 or 1/2. However, the probability of getting a red card on the second draw depends on what card was drawn first. If a red card was drawn first, there are now only 25 red cards left in the deck and the probability of getting a red card on the second draw is 25/51. If a black card was drawn first, there are still 26 red cards left in the deck and the probability of getting a red card on the second draw is 26/51. Therefore, it is wrong to say that the probability of getting two red cards is the same as the probability of getting one red card.
The correct way to calculate the probability of getting two red cards is to multiply the probability of getting a red card on the first draw by the probability of getting a red card on the second draw given that a red card was drawn first. This gives us:
P(two red cards) = P(red card on first draw) * P(red card on second draw | red card on first draw)
= (26/52) * (25/51)
= (1/2) * (25/51)
= 25/102
So the probability of getting two red cards is 25/102 or approximately 0.2451.
More information about the probability here: https://brainly.com/question/11455301
#SPJ11
What is the coefficient
Answer:
A coefficient is a number that is multiplied by a variable or term in an algebraic expression.
Examples:
[tex]3x[/tex]
[tex]60x[/tex]
what is 1.70 m in feet?
The conversion of 1.70 meters to feet gives the value which is equal to 5.5774 feet ( approximately ) .
Meters to feet can be converted by the following relation ,
Meter and feet both represents units which is used to measure the dimension length.1 meter = 3.28084 feet
Now Substitute the given value to convert meters into feet.
Here, convert 1.70 meters into feet we get,
⇒ 1.70 meters = ( 1.70 ) × ( 3.28084 ) feet
⇒ 1.70 meters = 5.577428 feet
Rewrite upto four decimal places we get,
⇒ 1.70meters = 5.5774 feet ( approximately )
Therefore, after converting unit of 1.77 meters into feet it is equal to 5.5774 feet ( approximately ) .
Learn more about meters here
brainly.com/question/29438351
#SPJ4
. The distance from Santa Maria to Los Alamos is 16.25 mi. What is the distance in cm?
Answer: Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
Step-by-step explanation:
To convert miles to centimeters, we need to use the following conversion factors:
1 mile = 160,934.4 centimeters
So, to find the distance from Santa Maria to Los Alamos in centimeters, we can use the following calculation:
16.25 miles x 160,934.4 centimeters/mile = 2,612,951.6 centimeters
Therefore, the distance from Santa Maria to Los Alamos is approximately 2,612,951.6 centimeters.
1 mile = 160,934 centimeters
16.25 miles = ?
16.25 * 160,934 = ?
16.25 miles = 2,615,184 centimeters
A ballet school wants to buy new slippers for students in a class. They collected the sizes and displayed them in a line plot.
A horizontal number line starting at 3.5 with tick marks every 0.5 units up to 8. The following values are labeled: the value of 4 has two dots, the value of 4.5 has one dot, the value of 5 has one dot, the value of 6 has 2 dots, the value of 6.5 has one dot, the value of 7 has one dot, and the value of 7.5 has one dot. The image is titled Ballet Shoe Sizes.
What is the range, and what does it mean in terms of this data set?
The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
What is range?The difference between the highest and lowest values for a given data collection is the range in statistics.
In statistics, we must put the given values, set of data, or set of observations in ascending order in order to determine the range. It indicates that you should start by writing the observations from lowest to highest value. The formula must now be used to determine the range of observations.
The range is the difference between the largest and smallest values in a data set.
For the given data, the largest value is 8 and the smallest value is 3.5.
Thus,
range = 8 - 3.5 = 4.5.
Hence, the range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
Learn more about range here:
https://brainly.com/question/28135761
#SPJ1
Answer:
Step-by-step explanation:The range is 4.5 and it means that the ballet shoe sizes in this class vary by 4.5, with the largest size being 8 and the smallest size being 3.5.
Diego is making sandwiches for a picnic. He uses 2 slices of cheese to make each sandwich, and he has a package of cheese with 24 slices.
Write an equation that shows how the number of slices of cheese remaining, y, depends on the number of sandwiches Diego makes, x.
If Diego makes 10 sandwiches, he will have only 4 slices of cheese left over.
What is Linear equation ?
A linear equation is an algebraic equation in which the highest power of the variable(s) is 1. In other words, it is an equation that represents a straight line on a graph.
The general form of a linear equation with one variable is:
ax + b = 0
Explanation:
The number of slices of cheese Diego uses to make x sandwiches is equal to 2x (since he uses 2 slices of cheese for each sandwich). If he starts with a package of cheese that has 24 slices, then the number of slices of cheese remaining, y, after making x sandwiches is:
y = 24 - 2x
This equation shows that the number of slices of cheese remaining depends on the number of sandwiches Diego makes. As he makes more sandwiches, he will use more cheese and the number of slices of cheese remaining will decrease.
To clarify, the equation is:
y = 24 - 2x
where y represents the number of slices of cheese remaining, and x represents the number of sandwiches Diego makes.
For example, if Diego makes 5 sandwiches, then the number of slices of cheese he uses is 2 times 5, or 10. The number of slices of cheese remaining would be:
y = 24 - 2(5) = 24 - 10 = 14
So, if Diego makes 5 sandwiches, he will have 14 slices of cheese left over.
Similarly, if Diego makes 10 sandwiches, then the number of slices of cheese he uses is 2 times 10, or 20. The number of slices of cheese remaining would be:
y = 24 - 2(10) = 24 - 20 = 4
To know more about linear equation visit:
https://brainly.com/question/30783269
#SPJ1
What is value of sin 1?
The value of sin 1 is 0.841.
It is needed to find the value of the sine function of 1.
Let's take it in radians since it is not mentioned whether the angle is in degrees or radians.
The sine function is the function which is defined as the ratio of the opposite to the hypotenuse o a right triangle.
So consider the right triangle with one of the angles as 1 radian or 57.296 degrees, then find the ratio of the opposite side to the hypotenuse.
The value is :
sin(1 radian) = 0.841
Hence the sine of 1 is 0.841.
Learn more about Sine Functions here :
https://brainly.com/question/12015707
#SPJ12
PLEASE HELP I RLY RLY NEED HELP
Answer: x= 155 degrees
Step-by-step explanation:
All angles in a triangle add up to 180. That is how we find angle a
a + b = 120 degrees as 60 degrees is taken for a straight angle or 180 degrees.
Use Algebra to find angle b
To find c we do the same thing as for a.
x is everything remaining from 180 degrees after c is taken from it.
x = 155 degrees
what are the coordinates of r′ for the dilation centered at p with scale factor 0.5?
The new coordinates of the triangle after dilation by a scale factor of 0.5 with the origin as the center of dilation are F'(3, 2.5), H'(1, 0.5), and G'(5, 0.5).
To find the coordinates of the triangle after dilation by a scale factor of 0.5 with the origin as the center of dilation, we can use the following formula:
(x', y') = (0.5 × x, 0.5 × y)
where (x, y) are the original coordinates of the point and (x', y') are the new coordinates after dilation.
Let's apply this formula to each point of the triangle:
For point F(6,5):
x' = 0.5 × 6 = 3
y' = 0.5 × 5 = 2.5
The new coordinates of point F are (3, 2.5)
For point H(2,1):
x' = 0.5 × 2 = 1
y' = 0.5 × 1 = 0.5
The new coordinates of point H are (1, 0.5)
For point G(10,1):
x' = 0.5 × 10 = 5
y' = 0.5 × 1 = 0.5
The new coordinates of point G are (5, 0.5)
Learn more about dilation here
brainly.com/question/28925831
#SPJ4
The given question is incomplete, the complete question is:
what are the coordinates of triangle by a scale factor of 0.5 with the origin as the center of dilation ?
the expression is the result of applying the change of base formula to a logarithmic expression. which could be the original expression?
The original expression could be log_2(1/3) / log_10(2).
The change of base formula states that:
log_a(x) = log_b(x) / log_b(a)
where a, b, and x are positive real numbers and a, b ≠ 1.
In the given expression, log1/3 / log2, the denominator is log2, which means that the base of the logarithm in the numerator must be 2 raised to some power.
So we can rewrite the logarithmic expression as:
log1/3 / log2 = log_2(1/3) / log_2(2)
Now we can apply the change of base formula, with a = 2, b = 10, and x = 1/3:
log_2(1/3) / log_2(2) = log_10(1/3) / log_10(2)
Learn more about logarithmic expression here
brainly.com/question/24211708
#SPJ4
Answer: C
Step-by-step explanation:
Which number line model represents the expression 5 1/2 + (-3)
Answer: B
Step-by-step explanation:
A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale!
A. 17
B. 34
C. 68
D. 136
E. 272
Option A. The dealer has 17 cars for sale. The problem provides us with a ratio of cars to trucks on the lot, which is 11 to 33. This means that for every 11 cars, there are 33 trucks.
We are given that there are currently 51 trucks for sale. We can use this information along with the ratio of cars to trucks to determine how many cars are for sale.
We can start by setting up a proportion with the ratio of cars to trucks:
cars/trucks = 11/33
We can then substitute the given value for trucks:
cars/51 = 11/33
To solve for cars, we can cross-multiply and simplify:
[tex]cars = (11/33) * 51[/tex]
cars = 17
Therefore, the dealer has 17 cars for sale.
To learn more about dealer please click on below link.
https://brainly.com/question/421000
#SPJ4
Explain the synthetic division process for polynomials. Divide (2x4–3x³ - 5x² + 3x
+8) by (x - 2). Be as specific as possible. You may upload a picture of your work to
help explain the steps in the division process. Make sure to include the answer to
the division problem in your explanation.
Explanation:
You want synthetic division explained for division of (2x^4 -3x^3 -5x^2 +3x +8) by (x-2).
CommentIn general, synthetic division is long division without writing the variables. It takes advantage of the fact that subtracting the product of the quotient term and the divisor makes the leading term go to zero at each step. This makes it possible to write the entire division on one line, instead of several. (The long division of these polynomials is shown in the second attachment.)
Synthetic division is most easily accomplished as division of a polynomial by a monic binomial—a binomial of the form x -a. Both dividend and divisor can be divided by the leading coefficient of the divisor if it is not 1.
ProcedureThe first attachment shows the tableau that is used during the synthetic division process. At top left is the opposite of the divisor constant. (This is the value that makes the divisor zero.) By using the opposite of the constant, later steps can involve addition, rather than subtraction, which simplifies the process and reduces errors.
To the right of the divisor zero, the coefficients of the polynomial are listed in decreasing order of degree. If a polynomial term is missing, then a 0 is used for its coefficient. Typically, the tableau is drawn with a vertical line between the divisor zero and the polynomial coefficients.
A horizontal line is drawn below the coefficients, with enough space to allow for partial products to be written between the coefficients and the horizontal line. The first (left-most) dividend polynomial coefficient is copied below the line.
From here, steps for succeeding columns of the tableau are the same. Working left-to-right, the value just written below the line is multiplied by the divisor zero, and that product is written above the line in the next column to the right. The coefficient is added to that, and the sum is written below the line.
The sum in the final (rightmost) column is the remainder from the division. The quotient from the division has the set of coefficients that are the numbers below the line to the left of the remainder.
ResultAs shown in the attachment, the result of using synthetic division for the given polynomials is ...
2 1 -3 -3 2
This means the quotient is 2x³ +x² -3x -3 and the remainder is 2. That is, ...
(2x⁴-3x³-5x²+3x+8) ÷ (x-2) = 2x³ +x² -3x -3 + 2/(x-2)
__
Additional comment
Synthetic division is really designed for division by monic binomials. It can be extended (with extreme care) to division by monic polynomials of higher degree than 1. What makes it work is the fact that the leading dividend term disappears at each step, so no accounting for the coefficients of the leading terms is required.
The same trick of using sums instead of differences could be applied to long division—again, with extreme care.
Find the dimensions of the cube
Answer: DBSB272 PONTA DEM
Step-by-step explanation: Find a answer
Which graph represents the function f (x) = 8 Superscript one-third x?
On a coordinate plane, an exponential function crosses the y-axis at (0, 8), increases into quadrant 1, and goes through (1, 10).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. It goes through (0, 1), (2, 4), and (3, 8).
On a coordinate plane, an exponential function decreases in quadrant 2 into quadrant 1 where it approaches y = 8. It goes through (negative 1, 10) and crosses the y-axis at (0, 8).
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. It goes through (0, 1) and (2, 8).
Answer:
On a coordinate plane, an exponential function approaches y = 0 in quadrant 2 and increases in quadrant 1. It goes through (0, 1), (2, 4), and (3, 8).
Step-by-step explanation:
Answer:
graph 2
Step-by-step explanation:
I did the assignment
How do you write a homogeneous system in parametric vector form?
A homogeneous system in parametric vector form:
(x1,x2,x3) = (s,s,-0.25s)
Parametric vector Form:
Any equation expressed as a parameter is a parametric equation. The general equation y = mx + b (where m and b are parameters) of a straight line in the form of a slope intersection is an example of a parametric equation. Example: one of the variables to t(x = t). Then we can rewrite this equation as y = t²+5.
So the set of parametric equations is x = t and y=t²+5.
According to the Question:
We are to solve them in parametric form.
X₁ + 2X₂ + 12X₃ = 0 ----------------------- (1)
2X₁ + X₂ + 12X₃ = 0 ----------------------- (2)
-X₁ + X₂ = 0 ----------------------- (3)
From equation 3 we get
x₁ = x₂
Substitute in 1 and 2 to get
3x₁ + 12x₃ = 0 and
3x₁ + 12x₃ = 0
Thus, we find these two equations are dependent. So we can have infinite solutions in parametric form only.
No unique solution is possible
Let x₁ = x₂ = s
Since 3x₁ +12x₃ = 0
x₁ = -4x₃
Or x₃ = -0.25s
So solution in parametric form is
(x1,x2,x3) = (s,s,-0.25s) for all real values.
Learn more about Homogeneous System:
https://brainly.com/question/30504189
#SPJ4
what is 23 out of 25 as a percentage
Answer:
92%
Step-by-step explanation:
what is the surface area of the cylinder? Use 3.14 for π and round to the nearest hundredth.
height=11 Radius=8 in.2
The surface area of the cylinder is approximately 951.44 square inches, rounded to the nearest hundredth.
What is the surface area of the cylinder?
To find the surface area of a cylinder, we need to find the sum of the areas of its curved surface (lateral area) and its two circular bases.
The formula for the lateral area of a cylinder is L = 2πrh, where r is the radius and h is the height. The formula for the area of each circular base is B = πr^2.
We are given that the height of the cylinder is 11 inches and the radius is 8 inches. Therefore, we can calculate:
L = 2πrh = 2 × 3.14 × 8 × 11 = 549.52 in²
B = πr^2 = 3.14 × 8^2 = 200.96 in²
The total surface area is the sum of the lateral area and the two base areas:
Surface area = L + 2B = 549.52 + 2(200.96) = 951.44 in²
Hence, the surface area of the cylinder is approximately 951.44 square inches, rounded to the nearest hundredth.
To learn more about surface area of the cylinder, Visit
https://brainly.com/question/27440983
#SPJ1
Determine whether the given value is from a discrete or continuous data set. when a truck is randomly selected, it is found to have a length of 20 feet.
The length of a truck is an example of a continuous data set, and 20 feet is just one possible value within that range.
The given value, "a truck with a length of 20 feet," is an example of a continuous data set.
Continuous data refers to values that can take on any numerical value within a range, with no gaps or interruptions. In this case, the length of a truck can take on any value between 0 and some maximum length, with no gaps or interruptions in between.
In contrast, discrete data refers to values that can only take on certain specific values, usually integers. For example, the number of tires on a truck is a discrete data set because it can only take on integer values (e.g. 4, 6, 8).
For more such questions on continuous data
https://brainly.com/question/17141874
#SPJ4
A farmer sells 6.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer: 3.1 kg
Step-by-step explanation:
Total amount sold of apples and pears = 6.6 kg
Of that 6.6 kg, 3.5 kg is the weight of the apples.
Subtract the weight of the apples from the total weight of the apples and pears.
6.6 kg (total weight) - 3.5 kg (weight of apples) = 3.1 kg (weight of pears)
72% of the number of visitors to a zoo on a particular day were children. If 308 adults visited the zoo on that day, how many visitors did the zoo receive on that day?
The zoo received 1100 visitors that day
Help needed please llll
Answer:
A.
Step-by-step explanation:
The key for for the drawing would only make sense if 1 inch equals 16 therefore A is the answer.
Hope it helped!
Answer:
sorry im late but its A
Step-by-step explanation:
why does gyro never never ever bet on even numbers
Gyro never bets on even numbers because the expected value of such a bet is always negative.
To understand this concept, let's look at what an even number bet involves. When a person bets on an even number, they are essentially risking their entire stake on a 50/50 chance of winning.
This means that if they win, they will get their stake back plus the amount they would have won if the bet had been successful – in other words, their returns will be twice their original stake.
However, if they lose the bet, they will lose their entire stake. This means that the expected value of a bet on an even number is always negative. In other words, the expected outcome of the bet is always a loss.
Therefore, it is never a good idea to bet on an even number, as the expected value is always negative
To know more about even number here.
https://brainly.com/question/2289438
#SPJ4
what is law of cosine ?
The Law of Cosines is a formula that relates the side lengths and angles of any triangle, expressed as c^2 = a^2 + b^2 - 2abcos(C).
The Law of Cosines is a numerical formula that relates the side lengths and points of any triangle. It expresses that the square of any side of a triangle is equivalent to the number of squares of the other different sides short two times the result of those sides and the cosine of the point between them. Numerically, the Law of Cosines can be communicated as c^2 = a^2 + b^2 - 2abcos(C), where c is the length of the side inverse to the point C, and an and b are the lengths of the other different sides.
Learn more about the law of cosine:
https://brainly.com/question/15201623
#SPJ4
Its asking to solve and substitue, what do i substitue and solve?
The solutions of the given equation are 3.16, 1, and - 1.
Solutions of equations:All numbers that make an equation true when the unknowns are eliminated from the equation are considered the solution of the equation.
For the given equation, we can find the solutions by factorizing as shown below.
Here finding the factors of the given polynomial is known as Factorizing. In other words, writing the given equation as a product of its factors.
Here we have
x⁴ - 11x² + 10 = 0
We can solve the above equation as follows
x⁴ - 11x² + 10 = 0
x⁴ - 10x² - x² + 10 = 0
Group out the like terms
x²(x² - 10) - (x² - 10) = 0
(x² - 10) (x² - 1) = 0
(x² - 10) (x - 1)(x + 1) = 0 [ ∵ (x² - 1²) = (x - 1)(x + 1) ]
x² - 10 = 0 => x = √10 = 3.16
x - 1 = 0 => x = 1
x + 1 = 0 => x = -1
Therefore,
The solutions of the given equation are 3.16, 1, and - 1.
Learn more about Equations at
https://brainly.com/question/30310462
#SPJ1
what is grain to gram ?
Although both grains and grams are weight-measuring units, they are not interchangeable.
The weight of gunshots, arrows, and gunpowder is often measured in the United States using a unit of mass called a grain. A grain weighs around 0.06479891 grams.
In contrast, a gram is a mass unit in the International System of Units (SI) that is often employed in scientific and practical contexts. There are 15.4323584 grains in one gram.
You may multiply the total number of grains by 0.06479891 to convert grains to grams. If you have 500 grains, for instance, you would convert them to grams as follows: 500 grains x 0.06479891 grams per grain = 32.399455 grams.
Learn more about grains to grams at
https://brainly.com/question/28794162
#SPJ4
Benny the tiger, eats 12.5 pounds of meat per day. Each pound of meat costs $3.10. Jasmine prefers hay and alfalfa. She eats 200 pounds a day.Which animal cost more to feed each day? Show how you know
Answer:
Benny the tiger costs more to feed each day because he eats 12.5 pounds of meat per day, which costs $38.75 ($3.10 x 12.5). Jasmine eats 200 pounds of hay and alfalfa, which costs $0.00, since hay and alfalfa are not typically purchased with money. Therefore, Benny the tiger costs more to feed each day.
Jill jumped 6 7/8 feet in the long-jump event. Jill’s best friend jumped 6 15/16 feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem. (Also show work so I can see how to do it on my own in the furture)
Answer:
-1/16Step-by-step explanation
6 7/8 - 6 15/16To make the problem easier, we are gonna have to change the denominator into 16
8*2=16 after we times 8 with 2 we now have to do the same 7
So this would show 7*2=14
Now it would be 6 14/16 - 6 15/16
All we have to do now is minus 14 with 15 which equals -1.
Now for the whole numbers, you can just minus the 6’s with eachother 6-6=0. Taking the denominator, we now have -1/16.
Hope this is the answer you are looking for.
The sum of two numbers is 49. The smaller number is 21 less than the larger number. What are the numbers?
Answer:
35,14
Step-by-step explanation:
I am so sorry if this is wrong
Answer: I would have to guess 35, 14
Step-by-step explanation:
according to the paragraph, some people prefer to step away from ____________. More time allow them to _____ their next action.
please i need it asp!!!!!
According to the paragraph, some people prefer to step away from conflict for the meantime. More time allows them to contemplate their next action.
What is Conflict?Conflicts result from conflicts of interest, viewpoints, or even philosophical concepts. The basis of conflict can be personal, racial, class, caste, political, or even international, thus it will always exist in society.
The scenario in the picture shows how people react or respond to conflict and some people prefer to talk about it right away, while some people prefer to give it some time.
Read more about conflict here:
https://brainly.com/question/846617
#SPJ1
Please help me ASAP! Thank you! 15 points
Simon and his friends have 27 pieces of candy. They split them up evenly and each person get 9 pieces. How many people are there? Select the correct equation and solve for p.
A. 27 = 9p; p = 3
B. 9 + p = 27; p = 18
C. p/27 = 9; p = 3
D. 9 = 27 - p; p = 18
Answer:
[tex] \sf \: a) \: 27 = 9p \: ; p = 3[/tex]
Step-by-step explanation:
Given information,
→ Simon have 27 pieces of candy.
→ Each person will get 9 pieces.
Now we have to,
→ Find the required equation.
The equation will be,
→ 27 = 9p
→ 9p = 27
=> As each person (p) gets 9 pieces.
Then the value of p will be,
→ 9p = 27
→ p = 27 ÷ 9
→ [ p = 3 ]
Hence, option (a) is correct.
