(a) Probability of drawing neither a red card nor a 7 = 30/52 = 15/26. (b) Odds in favor of the event = 5/3.
(a) To find the probability that the card is neither a red card nor a 7, we need to count the number of cards that are not red or 7 and divide it by the total number of cards. There are 26 black cards (13 clubs and 13 spades) and 4 sevens that are not red, so there are 26 + 4 = 30 cards that are neither red nor 7. Therefore, the probability of drawing a card that is neither a red card nor a 7 is 30/52, which simplifies to 15/26.
(b) The odds in favor of the event of drawing a card that is neither a red card nor a 7 can be found by dividing the probability of the event by the probability of its complement (drawing a red card or a 7). The probability of drawing a red card or a 7 is 18/52 (26 red cards minus 4 black sevens plus 2 red sevens), which simplifies to 9/26. Therefore, the odds in favor of the event are (15/26)/(9/26), which simplifies to 5/3.
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Complete question is in the image attached below
how do you translate "six more than x is equal to four." as a equation.
Answer:
6>x=4
hope that helps!
please mark brainiest<3
A scuba diver used the expression below to describe his position in relation to sea level. 2 + (negative 20) + 8 Which statement could describe the diver's movements?
Answer:
i'm pretty sure its D (not sure btw)
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Took the test ;)
What is the radius of the circle x2+y–
3
4
2=144?
The radius of the circle x^2 + (y - 3/4)^2 = 144 is 12 units
What is the radius of the circleFrom the question, we have the following parameters that can be used in our computation:
x^2 + (y - 3/4)^2 = 144
As a general rule, the equation of a circle is represented as
(x - a)^2 + (y - b)^2 = r^2
Where
Radius = r
Using the above as a guide, we have the following:
r^2 = 144
SO, we have
r = 12
Hence , the calculated value of the radius is 12 units
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REEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
im not writing all that lol
Step-by-step explanation:
So 1 would be 100%, 10/10 and 0 would be, 0/10 and 0% so for 50% for example would be 5/10, 0.5 and so on..
then just think of things that have a 100% chance and all the other percentages... example The sun rising tomorrow. and no chance 0% example the school flying away
Sachi and Olivia are coaches on the soccer team. They bring bottles of water and lemonade to a game. Each bottle of water contains the same
amount of water, and each bottle of lemonade contains the same amount of lemonade.
Sachi brings 22 bottles of water and 15 bottles of lemonade, which is a total of 564 fluid ounces.
Olivia brings 28 bottles of water and 10 bottles of lemonade, which is a total of 536 fluid ounces.
Sachi and Olivia bring enough water and lemonade so that each player gets 2 bottles of water and 1 bottle of lemonade.
How many total fluid ounces does each player get?
Here every player gets 2 bottles of water and 1 bottle of lemonade. Then each player should get a total of 4 fluid ounces of water and 2 fluid ounces of lemonade.
Here we have to apply the principles of algebraic expressions to derive the answer
To evaluate the total fluid ounces each player gets, we can apply summation of the total fluid ounces from Sachi's bottles and Olivia's bottles then divide it by the number of players.
Total fluid ounces from Sachi's bottles = (22 × x) + (15 × y)
where
x = number of fluid ounces in each bottle of water
y = number of fluid ounces in each bottle of lemonade.
Total fluid ounces from Olivia's bottles = (28 × x) + (10 × y)
Total fluid ounces = Total fluid ounces from Sachi's bottles + Total fluid ounces from Olivia's bottles
Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
Total fluid ounces = 50x + 25y
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Total number of players = 2(Number of players on Sachi's team)
Total number of players = Number of players on Sachi's team + Number of players on Olivia's team
Number of players on Sachi's team = Total number of players / 2
Number of players on Olivia's team = Total number of players / 2
Staging the values we get,
50x + 25y = Total fluid ounces = (22 × x) + (15 × y) + (28 × x) + (10 × y)
50x + 25y = 564 + 536
50x + 25y = 1100
Dividing both sides by 25,
2x + y = 44
Each player gets 4 fluid ounces of water and 2 fluid ounces of lemonade.
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How does a reflection across the y-axis change the coordinates of a shape?
Answer:
in (x,y), it becomes (-x,y)
Step-by-step explanation:
If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as
If the correlation between two variables was equal to 0, the scatterplot between these two variables would be represented as a graphical representation of the relationship between two variables
If the correlation between two variables is equal to 0, it means that there is no linear relationship between the two variables. In other words, as one variable changes, the other variable does not systematically change in any particular direction.
In a scatterplot, which is a graphical representation of the relationship between two variables, this would be represented by a random scattering of data points with no discernible pattern or trend. The points would be evenly distributed throughout the plot, without any apparent clustering in one direction or another.
Additionally, the line of best fit, which is used to describe the overall trend of the data, would be a horizontal line with a slope of zero, indicating that there is no relationship between the two variables.
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What is the change in elevation from 7,500 ft to 3,200 ft?
10,700 ft
-4.300 ft
4,300 ft
-10,700 ft
Let a,b,c be positive numbers. Find the volume of the ellipsoid
{ (x,y,z) ε R3 : x2/ a2 + y2/ b2 + z2/ c2 <1 } by fining a set Ω is subset of R3 whosevolume you know and an operator T ε τ (R3) such that T ( Ω ) equals theellipsoid above.
To find the volume of the ellipsoid { (x,y,z) ε R^3 : x^2/a^2 + y^2/b^2 + z^2/c^2 < 1 }, we can define a set Ω that has a known volume and an operator T that maps Ω to the ellipsoid.
Let's consider the set Ω to be the unit sphere centered at the origin, which has a volume of (4/3)π. Therefore, the volume of Ω is known.
Now, we can define the operator T as follows:
T : R^3 → R^3
T(x, y, z) = (ax, by, cz)
The operator T scales the coordinates of a point (x, y, z) by the factors a, b, and c, respectively.
To show that T(Ω) is equal to the ellipsoid, we need to prove two conditions:
T(Ω) is contained within the ellipsoid:
Let (x, y, z) be any point in Ω. Then, the squared norm of the transformed point T(x, y, z) is given by:
||T(x, y, z)||^2 = (ax)^2/a^2 + (by)^2/b^2 + (cz)^2/c^2 = x^2 + y^2 + z^2
Since x^2 + y^2 + z^2 < 1 for points in Ω, it follows that T(Ω) is contained within the ellipsoid.
The ellipsoid is contained within T(Ω):
Let (x, y, z) be any point in the ellipsoid, i.e., x^2/a^2 + y^2/b^2 + z^2/c^2 < 1.
We can scale the coordinates of this point by dividing them by a, b, and c, respectively, to obtain a point in Ω:
T^-1(x, y, z) = (x/a, y/b, z/c)
The squared norm of this transformed point is given by:
||T^-1(x, y, z)||^2 = (x/a)^2 + (y/b)^2 + (z/c)^2 = x^2/a^2 + y^2/b^2 + z^2/c^2 < 1
Therefore, the ellipsoid is contained within T(Ω).
Since both conditions are satisfied, we can conclude that T(Ω) is equal to the ellipsoid.
Finally, the volume of the ellipsoid can be determined by applying the operator T to the volume of Ω:
Volume of ellipsoid = Volume of T(Ω) = T(Volume of Ω)
= T((4/3)π)
= (4/3)π * a * b * c
Therefore, the volume of the ellipsoid is (4/3)π * a * b * c.
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the mayor surveyed the first 5 people to arrive for a town meeting.is this a random sample of the residents of the town?
No, the first 5 people to arrive at a town meeting is not a random sample of the town's residents.
A random sample is a subset of a population that is selected in a way that gives each member of the population an equal chance of being selected. In this case, the first 5 people to arrive may not be representative of the entire population, as they may not have been selected randomly, and their arrival at the meeting may have been influenced by factors such as their proximity to the meeting place, their level of interest in the topic, or their schedule. A more structured method of selection, such as random digit dialing or door-to-door visits, would be necessary to obtain a random sample of the town's residents.
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solve similar triangles (advanced)
Step-by-step explanation:
similar triangles mean that all angles are the same, and the side lengths of one triangle correlate to the corresponding sides of the other triangle by the same factor.
that means that the sides 2 (ED) and x (CB) have the same relation as the 6+4 (AD) and the 6 (AB) sides.
so,
x/2 = 6/(6+4) = 6/10 = 3/5
x = 2 × 3/5 = 6/5 = 1.2
if ZDCE is an obtuse angle. CF bisects ZDCE.MZDCF = 2? + 4 and m DCE = 3z? – 7x, what is the value of x?
X =
Answer:
x=2.345208,−2.345208
Step-by-step explanation:
x²+4=3x²−7
if expected frequencies are not all equal, then we can determine them by enp for each individual category, where n is the total number of observations and p is the probability for the category. b. if expected frequencies are equal, then we can determine them by , where n is the total number of observations and k is the number of categories. c. expected frequencies need not be whole numbers. d. goodness-of-fit hypothesis tests may be left-tailed, right-tailed, or two-tailed.
If the expected frequencies are not all equal, we can determine them by using the equation enp for each individual category, where n is the total number of observations and p is the probability for the category. This equation helps us calculate the expected frequency for each category based on their probabilities and the total number of observations.
On the other hand, if the expected frequencies are equal, we can determine them by using the equation n/k, where n is the total number of observations and k is the number of categories. This equation helps us distribute the total number of observations equally among the categories when the expected frequencies are equal.
Expected frequencies do not necessarily have to be whole numbers. They can be decimals or fractions depending on the context and calculations involved.
Goodness-of-fit hypothesis tests can be left-tailed, right-tailed, or two-tailed. These different types of tests allow us to assess whether the observed data significantly deviates from the expected frequencies. The choice of the tail depends on the specific research question and the alternative hypothesis being tested.
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What is the value today of a money machine that will pay $4,161.00 per year for 23.00 years? Assume the first payment is made one year from today and the interest rate is 15.00%. Answer format: Currency: Round to: 2 decimal places.
the value today of the money machine is approximately $29,499.48.
The formula to calculate the present value of an annuity is:
PV = C * (1 - (1 + r)^(-n)) / r
PV is the present value
C is the cash flow per period
r is the interest rate per period
n is the number of periods
Cash flow per year (C) = $4,161.00
Number of years (n) = 23.00
Interest rate (r) = 15.00%
First, let's convert the annual interest rate to a decimal and calculate the interest rate per period:
r = 15.00% / 100 = 0.15
PV = $4,161.00 * (1 - (1 + 0.15)^(-23)) / 0.15
Using a calculator, we find that the present value (PV) is approximately $29,499.48.
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How do you know in which direction do you start by writing the Algebraic Expression
An algebraic expression contains variables, numbers and mathematical operators. we write the expression from left to right direction because we read any expression from left to right.
What is Expression?An expression is a set of numbers or variables combined using the operations + , – , × or ÷ .An algebraic expression contains variables, numbers and mathematical operators.
An algebraic expression contains variables, numbers and mathematical operators.
for example ax2=bx+c is an expression.
We mostly prefer to write the expression from left to right direction because we read any expression from left to right.
So we write the expression from left to right direction.
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-1.6, 5/2, -7/8, 0.9, -6/5 from least to greatest
Answer:
starting with least...
-1.6
-6/5
-7/8
9/10
5/2
...to greatest.
Step-by-step explanation:
start by putting the decimals into fractions:
-1.6 = -8/5
0.9 = 9/10
and then find a common denominator to compare them fairly.
the number that they all end up going into is 40, which will be your common demoninator.
-8/5 (aka -1.6) = -64/40
5/2 = 100/40
-7/8 = -35/40
9/10 (aka 0.9) = 36/40
-6/5 = -48/40
Write an equation of a line in slope intercept form that passes through
(8,-1) and is perpendicular to y =-4x-7 *
Answer:
Step-by-step explanation:
a park area with four a activity locations is drawn on the coordinate plane below
SOLUTION
From the diagram in the picture, the point (2, -3) is the point for Lake.
Hence the answer is Lake
what function lets you test if something is true or false and then do different things depending on which result you get? (include the
The function is called an if/else statement function lets you test if something is true or false and then do different things depending on which result you get.
An if/else statement is a type of control flow statement that allows a program to execute different instructions depending on the result of a logical expression. The statement begins with an if condition, followed by a set of instructions to be performed if the condition is true. If the condition is false, the program executes the instructions after the optional else statement. The syntax for an if/else statement looks like this: if (condition) { // Instructions to execute if condition is true } else { // Instructions to execute if condition is false } By using an if/else statement, a program can make decisions and perform different actions based on the results of a logical expression.
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1. The graph shows the population of a city from 1900 to 2000. population in thousands 50 40 30 20 10 1900 1920 1940 1960 1980 2000 year What is the average rate of change of the population between 1930 and 1950?
The average rate of change of the population between 1930 and 1950 is 0.5 thousands per year.
What is rate of change?Rate of change is a mathematical concept that measures how much a certain quantity is changing over a certain period of time. It is often represented by the Greek letter delta (Δ). It can be used to measure changes in many different types of data, such as speed, temperature, and population. Rate of change is an important concept in calculus and other advanced mathematical topics.
The average rate of change of the population between 1930 and 1950 can be calculated by taking the difference of the population in 1930 and 1950 and dividing it by the number of years that have elapsed, which is 20. The difference of the population in 1930 and 1950 is 10. Therefore, the average rate of change of the population between 1930 and 1950 is 0.5 thousands per year.
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The population of the city was increasing by 1,000 people each year between 1930 and 1950.
What is rate of change?Rate of change is a mathematical concept that measures how much a certain quantity is changing over a certain period of time. It is often represented by the Greek letter delta (Δ). It can be used to measure changes in many different types of data, such as speed, temperature, and population. Rate of change is an important concept in calculus and other advanced mathematical topics.
The average rate of change of the population between 1930 and 1950 can be determined by calculating the difference between the population in 1930 and 1950 and dividing it by the number of years between them. In 1930, the population of the city was 20,000 and in 1950, the population was 40,000. This means that the difference between the two years is 20,000. The number of years between them is 20, so the average rate of change of the population between 1930 and 1950 is 1,000 per year, or 1,000/year.
This means that the population of the city was increasing by 1,000 people each year between 1930 and 1950. This is a significant rate of growth, indicating that the city was rapidly expanding during this period. This could be due to a variety of factors such as increased economic activity, improved access to resources and services, or increased immigration.
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x =
y =
m ∠ H =
m ∠ G =
Answer:
x=53
y=26
H=106
G=93
Step-by-step explanation:
By the inscribed quadrilateral conjecture:
\(2x+(x+21)=180\\(3y+9)+(4y-11)=180\\3x+21=180\\3x=159\\x=53\\7y-2=180\\7y=182\\y=26\\H=2(53)=106\\G=(4(26)-11)=104-11=93\)
Hope this helps!
New York and Denver are in different time zones. When it is noon in New York, it is 10:00 a.m. in Denver. At 2:00 p.m. in New York, a train departs, and it arrives in Denver 45 hours later. What time is it in Denver when the train arrives?
Answer:
9:00 AMStep-by-step explanation:
Time in New York = noon = 12:00 PMTime in Denver = 10:00 AMTime difference = -2 hours
Train departs at 2:00 PMTravel time = 45 hoursTrain arrival time:
2:00 PM + 45 hours = 2:00 PM - 3 hours (plus 2 days) = 11:00 AMConverting to Denver time:
11:00 AM - 2 hours = 9:00 AMAnswer:
9:00 AM
Step-by-step explanation:
iodinated (i 125) albumin injection contains 0.5 millicuries (18.5 mbq) of radioactivity per milliliter. how many milliliters of the solution should be administered exactly 30 days after the original assay to provide an activity of 60 microcuries (2.22 mbq) if the half life of i 125 is 60 days? round answer to the nearest hundredth (i.e. 0.xx). do not include units in your answer.
The decay constant of a radioactive nuclide exists its probability of decay per unit time.
The half life of i 125 is 60 days exists 0.169 ml.
What is meant by Decay constant?The decay constant of a radioactive nuclide exists its probability of decay per unit time. The number of parent nuclides P therefore decreases with time t as dP/P dt = −λ.
The ratio of the number of radioactive atoms in a population to the rate at which they are vanishing due to radioactive decay.
The rate of decay is determined by the decay constant. The symbol for the decay constant is "lambda," or. The many diverse decay rates that have been seen may be caused by large variations in this constant probability among various types of nuclei.
Decay constant: \($& \lambda=\frac{0.693}{t_{1 / 2}}\)
Decay constant expressed in any unit of time
Such as reciprocal seconds, minutes, hours etc.
\($\mathbf{N}=\mathrm{N}_o \mathrm{e}^{-\lambda t} \quad \lambda=\frac{0.693}{\mathrm{t}_{1 / 2}}$\)
Half Life: \($\quad t_{1 / 2}=\frac{0.693}{\lambda}$\)
The half life of i 125 is 60 days exists 0.169 ml.
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below the paraboloid z = 18 − 2x2 − 2y2 and above the xy-plane
Answer:
y
2
=−
2
z
+7
Steps for Solving Linear Equation
z=18−2×2−2y2
Multiply 2 and 2 to get 4.
z=18−4−2y
2
Subtract 4 from 18 to get 14.
z=14−2y
2
Swap sides so that all variable terms are on the left hand side.
14−2y
2
=z
Subtract 14 from both sides.
−2y
2
=z−14
Divide both sides by −2.
−2
−2y
2
=
−2
z−14
Dividing by −2 undoes the multiplication by −2.
y
2
=
−2
z−14
Divide z−14 by −2.
y
2
=−
2
z
+7
Step-by-step explanation:
the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.
we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.
Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.
the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.
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Find the value of x. Assume that lines that
appear tangent are tangent.
X
10 15
24
The value of x in the chord intersection is 16 units.
How to find the length of chord?The intersecting chord theorem states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.
Therefore, lets find the value of x in the intersecting chords as follows:
15 × x = 24 × 10
15x = 240
divide both sides of the equation by 15
x = 240 / 15
x = 16
Therefore,
x = 16 units
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What is the name of the segment inside the large triangle?
1. Perpendicular bisector
2.Midsegment
3.Angle Bisector
4.Median
The name of the segment inside the large triangle is called the: 3. angle bisector.
What is an Angle Bisector?The word "bisect" means to divide into two equal halves. Therefore, an angle bisector can be defined as a line segment that divides the an angle in a triangle into two parts that are of the same angle measure.
The image shows a triangle which has a segment that divides a vertex angle into equal parts. Thus, the segment can be named as an angle bisector.
A perpendicular bisector divides a segment into two equal halves at right angle, while a midsegment joins the middle points of two sides of a triangle. The median also, is a segment that joins a vertex of a triangle to the midpoint of the side that is opposite the angle.
Therefore, we can state that the name of the segment is: 3. angle bisector.
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Thirty subtracted from four times a number is greater than the opposite of ten.
Answer:
4x-30>-10 is the answer
A tree that is 8 feet tall is growing at a rate of 2 feet each year. A tree that is 16 feet tall is growing at a rate of 1 1/2 feet each year. Enter the number of years it will take the two trees to reach the same height
Answer: 8.
This is because for every 2 years the 10 foot tree will grow one foot and for every year the 8 foot tree will grow one foot.
It takes 8 years fort the 10 ft tree to be:16
This is because you do:
2+2+2+2+2+2+2+2=16
It takes 8 years for the 8 food tree to be: 16
You do:
2+2+2+2+2+2+2+2=16 and we added it 8 times and in 8 years it will be 16
- - Hope this helps! - -
Heart or brain me!
A menu has three meat choices,
three vegetable choices and two desserts
How many ways can you choose your dinner?
Answer:
18 ways
Step-by-step explanation:
Number of Meat choices = 3
Number of Vegetable choices = 3
Number of Desserts = 2
Number of ways dinner can be chosen :
Number of meat choices * Number of vegetable choices * number of desserts
3 * 3 * 2
= 18
Hence, dinner can be chosen in 18 different choices.
a description of the distribution of the values of a random variable and their associated probabilities is called a a. probability distribution. b. table of binomial probability. c. bivariate distribution. d. empirical discrete distribution.
A description of the distribution of the values of a random variable and their associated probabilities is called a probability distribution. The correct answer is a.
A probability distribution is a mathematical function that describes the possible values of a random variable and the likelihood of each value occurring. It provides a complete description of the probabilities of all possible outcomes of a random experiment or event.
Probability distributions can be classified into two types: discrete probability distributions and continuous probability distributions. Discrete probability distributions are used when the possible outcomes of a random variable are countable or finite, such as the number of heads in a coin toss.
Continuous probability distributions, on the other hand, are used when the possible outcomes of a random variable are infinite, such as the time it takes for a person to complete a task.
Probability distributions are used in various fields, such as statistics, finance, engineering, and science, to model and analyze random phenomena and make predictions about future events. They are an essential tool for understanding uncertainty and making informed decisions based on probabilistic outcomes.
The correct answer is a.
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