Mark should pay $0.1692 for one draw.
To calculate how much Mark should pay for one draw, we need to find the expected value, which is the sum of the products of each outcome's probability and its associated value.
Calculate the probabilities:
Probability of drawing a club: [tex]\( \frac{13}{52} = \frac{1}{4} \)[/tex]
Probability of drawing an ace: [tex]\( \frac{4}{52} = \frac{1}{13} \)[/tex]
Probability of drawing the ace of clubs: [tex]\( \frac{1}{52} \)[/tex]
Calculate the expected values:
Club: [tex]\( 0.45 \times \frac{1}{4} = 0.1125 \)[/tex]
Ace: [tex]\( 0.55 \times \frac{1}{13} = 0.0423 \)[/tex]
Ace of clubs: [tex]\( 0.75 \times \frac{1}{52} = 0.0144 \)[/tex]
Sum the expected values:
[tex]\( 0.1125 + 0.0423 + 0.0144 = 0.1692 \)[/tex]
Thus, Mark should pay $0.1692 for one draw.
Rename 12,000 ten thousand
Renaming 12,000 as 'ten thousand' means expressing it as '1 ten thousand and 2 thousand'. This breaks the number down into units of ten thousand, with 10,000 being the base unit and the additional 2,000 making up the rest.
Explanation:The phrase 'rename 12,000 ten thousand' refers to the process of expressing the number 12,000 in terms of ten thousand. To do this, we need to understand that the number 10,000 is a base unit in this context, acting as one 'ten thousand'. Therefore, the number 12,000 would be considered as 1 ten thousand and 2 thousand, since 12,000 is made up of one 10,000 and an additional 2,000 units.
To better understand, let's do a breakdown:
10,000 (one ten thousand) + 2,000 (two thousand) = 12,000We know that:
10,000 is one ten thousand.20,000 is two ten thousands.30,000 is three ten thousands.And so on, up to 160,000, which would be sixteen ten thousands.In this case, when we want to 'rename' 12,000 as ten thousand, it becomes 1 ten thousand and 2 thousand.
The graph shown is the solution set for which of the following inequalities? y ≥ x + 1 y ≥ |x| + 1 y ≥ |x - 1|
Answer:
y ≥ |x| + 1
Step-by-step explanation:
I did this on odyssey ware and got 100% so YES it is correct!
Where would an imaginary line need to be drawn to reflect across an axis of symmetry so that a regular pentagon can carry onto itself? A) any angle to any angle B) any angle to the farthest angle C) any angle to the next closest angle D) any angle to the center of the side opposite the angle
Answer:
Any angle to the center of the side opposite the angle
Step-by-step explanation:
Find the measure of an angle if its measure is 46 degrees less than three times its complement.
What is y=-4x-15 in standard form
Final answer:
To convert the equation y = -4x - 15 to standard form, you add 4x to both sides to get 4x + y = -15, which aligns with the standard form Ax + By = C.
Explanation:
To convert the equation y = -4x - 15 into standard form, we need to rearrange it such that the x- and y-terms are on one side of the equation and the constant is on the other side, typically with the x term first. The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.
The given equation is already close to this form, but we need to get the x-term to the other side of the equation. To do this, we simply add 4x to both sides, giving us:
4x + y = -15
This is the standard form of the given linear equation.
Can someone please be kind enough to help me with all theses problems
Find the equation of the line perpendicular to x−5y=15 that passes through the point (−2,5).
1. Solve the given equation for y.
x - 5y = 15
-5y = -x + 15
y = (-x + 15)/-5
y = (x/5) - 3
y = (1/5)(x) - 3
The slope is 1/5. See it?
The equation we are looking for has a slope which is the negative inverse of the slope in the equation we just solved for y.
The slope for the equation we want is -5 which is the negative inverse of 1/5. Undetstand?
We have the slope of the new equation and one point is given.
Plot BOTH into the point-slope formula and solve for y. To solve for a variable means to isolate the variable ALONE on one side of the equation.
y - y_1 = m(x - x_1)...This is the point-slope formula. Our given point is (5,-2)
y - 5 = -5(x - (-2))
y - 5 = -5(x + 2)
We now solve for y and that's it.
y - 5 = -5x - 10
y = -5x - 10 + 5
The equation we want is y = -5x - 5.
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compare discrete domains and continuous domains.
How many real solutions does the equation 0.2x^5-2x^3+1.8x+k=0 have when k = 0?
Answer:
It is 5
When Y=1 I got 0
Is there a value of k for which the equation has just one real solution?
I put no
Then for the last one I put Yes
Step-by-step explanation:
Edg 2020
how to find what numbers a number is divisible by
A rectangle patio is surrounded on three sides by a fence. If the areas of the patio is 45 m sq and the total of fence is 19m what is the length and width of the patio?
BRAINLIESTTTT!
1. Sasha and Mona practiced swimming every day. They increased the number of minutes of swimming every week as described below:
Sasha: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 40 minutes in the third week, and 80 minutes in the fourth week.
Mona: Practiced swimming for 10 minutes every day in the first week, 20 minutes in the second week, 30 minutes in the third week, and 40 minutes in the fourth week.
Which statement best describes the methods used by Sasha and Mona to increase the time they practiced swimming?
Mona's method is linear because the number of minutes increased by an equal factor every week.
Sasha's method is exponential because it increases by an equal number every week.
Mona's method is exponential because it increases by a fixed factor, and Sasha's method is linear because it increases by a fixed number.
Sasha's method is exponential because it increases by a fixed factor, and Mona's method is linear because it increases by a fixed number.
2. The sales totals at Macy's food store have increased exponentially over the months. Which of these best shows the sales in the first three months?
$1200 in the first month, $1220 in the second month, $1240 in the third month
$1200 in the first month, $1272 in the second month, $1344 in the third month
$1200 in the first month, $1285 in the second month, $1370 in the third month
$1200 in the first month, $1224 in the second month, and $1248.48 in the third month
Answer:
1: option:D
2: option:D
Step-by-step explanation:
1:
Clearly as we see the time of sasha practice it increases by a fixed factor of '2'. but when we see the time of mona's practice it increases by 10mins every week. hence there is a addition of a fixed number '10'.
so option D is correct;which says Sasha's methid is exponential because it increases by a fixed factor, and mona's method is linear because it increases by a fixed number.
2:
option D determines that the rate are increasing exponentially.
The school store sells packs of 12 pens for $2.40. Which is NOT a unit rate to describe this sale?
A. 20 cents per pen
B. 5 pens per dollar
C. 2.40 dollars per pack of pens
D. 120 pens per 24 dollars
To burn 1 molecule of c7h16 to form co2 and h2o (complete combustion), how many molecules of o2 are required?
Eleven molecules of O2 are required to completely combust one molecule of C7H16, producing CO2 and H2O. The balanced chemical reaction of this process is: C7H16 + 11O2 → 7CO2 + 8H2O.
Explanation:Combustion of one molecule of C7H16 (heptane) to produce CO2 (carbon dioxide) and H2O (water) requires 11 molecules of O2 (oxygen). The balanced chemical equation of this reaction is:
C7H16 + 11O2 → 7CO2 + 8H2O
The equation shows that for every one molecule (or mole) of C7H16, 11 molecules (or 11 moles) of oxygen are needed. An analogy can be seen in the combustion of methane where one methane molecule and two oxygen molecules react to yield one carbon dioxide molecule and two water molecules.
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Which type of question fits a binomial model? A. fill in the blank B. matching C. multiple choice D. true/false
The type of question that fits a binomial model is a true/false question, as this type of question strictly limits the outcome to two possibilities - correct or incorrect.
Explanation:The type of question that fits into a binomial model would be a true/false question. A binomial distribution, in mathematics and statistics, is used to model a number of successes in a sequence of independent and identically distributed binary experiments, such as flipping a coin or indeed, answering a true/false question. These types of questions are considered binomial because there are two possible outcomes: right or wrong, true or false. On the other hand, options like 'fill in the blank', 'matching', or 'multiple choice' doesn't fit the binomial model because they do not strictly limit the outcome to two possibilities.
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Two vertices of an isosceles triangle in the coordinate plane have coordinates (0,0) and (2a,0). Where might the third vertex be located?
There are 84 boys in a senior class of 146 students. find the ratio of boys to girls. (note: if you know the total number of student in the class and the number of boys, what do you need to do to find the number of girls?
Gasoline costs $3.29 per gallon. Write an expression to represent the total cost of buying g gallons of gasoline at that price.
The prefix milli- means one thousandth, or 10–3. how many milliseconds (ms) are in 6.7 seconds? 6.7 × 10–3 ms 2.0 × 104 ms 6.7 × 102 ms 6.7 × 103 ms
You know that the prefix mili means one thousandth or 1/100.
Numerically speaking, one thousandth is equals to 10 to the power of negative 3.
Solving seconds to milliseconds:
6.7 seconds x 1000 milliseconds / 1 second
Cancelling out the unit seconds. Then multiplying 6.7 to 1000 milliseconds.
The answer is 6,700 milliseconds or 6.7 x 10^3 ms
Can someone help please? Thank you. SHOW ALL WORK.
Determine the nature of the roots of the function
f(x)=7x^2+5x-1
Final answer:
To determine the nature of the roots of the function f(x)=7x²+5x-1, we calculate the discriminant, which is 53. Since it's positive, the equation has two distinct real roots.
Explanation:
The nature of the roots of the quadratic function f(x)=7x²+5x-1 can be determined by calculating the discriminant, which is part of the quadratic formula. The discriminant is given by b² - 4ac, where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0. For the given function, a = 7, b = 5, and c = -1. Therefore, the discriminant equals:
D = b² - 4ac
D = (5)² - 4(7)(-1)
D = 25 + 28
D = 53
Since the discriminant is positive (D > 0), the quadratic function has two distinct real roots.
Find f(-1) (inverse) if y=4x+2/3x-1 and x is not equal with 1/3
Factor out the greatest common factor. If the greatest common factor is 1, just retype the polynomial.
4t^3+8t
What are the zeros of the polynomial function y = x(x − 6)(x + 3)(x − 11)?
PLZ HELP Simplify the rational expression. State any excluded values. 2x/-5x+x^2
Answer:
The excluded value is x=5.
Step-by-step explanation:
Given : Expression [tex]\frac{2x}{-5x+x^2}[/tex]
To find : Simplify the rational expression. State any excluded values.
Solution :
First we simplify the expression,
[tex]\frac{2x}{-5x+x^2}[/tex]
Taking x common from the denominator,
[tex]=\frac{2x}{x(-5+x)}[/tex]
Cancel the common term from numerator and denominator,
[tex]=\frac{2}{-5+x}[/tex]
To find the excluded value we put the denominator equal to zero to get the value of x in which given expression is not valid.
[tex]-5+x=0[/tex]
[tex]x=5[/tex]
Therefore, The excluded value is x=5.
If you are passing a large tractor trailer rig going 50 mph, how long will it take to pass if you use the correct passing techniques?
To pass a truck going 55 mph while you go 60 mph, it will take about 8.94 seconds if using the correct passing techniques. This calculation is based on the relative speed and the total distance required to pass the truck.
First, consider the difference in speeds between the car and the truck. Assuming the truck is going 55 mph as stated in the reference information, and the car speeds up to 60 mph:
Calculate the relative speed:Therefore, it will take approximately 8.94 seconds to pass the truck completely.
which of the following is a linear equation: (a)x2-y2=1 (b)y=3/4-x/2 (c)x2+y2=1 (d)y=3/4+2/x
A combination of numbers variables and at least one operation is called
Final answer:
A combination of numbers, variables, and at least one operation is called an expression. It involves the use of variables and operators to represent mathematical relationships or operations. Expressions are fundamental in algebra for solving problems and describing mathematical properties.
Explanation:
A combination of numbers, variables, and at least one operation is called an expression. An expression is a mathematical statement that combines values, variables (which are symbols that represent unspecified numbers), and operators (special symbols that represent computations like addition, subtraction, multiplication, and division) to describe a sequence of operations that yield a single result. For example, the expression 5 - 3xy combines the numbers 5 and 3, the variable y, and the operations of subtraction and multiplication to form a single mathematical statement.
A quadrilateral has three angles that measure 80°, 110°, and 75°. Which is the measure of the fourth angle
What is the tangent of angle a?
a. 6/8
b. 8/10
c. 8/6
d. 6/10