The odds against drawing a face card out of a deck are 9:4. What is the probability of drawing a face card?
Answers
The probability of drawing a face card from a deck is 3/13 or approximately 0.23.
The odds against an event is defined as the ratio of the number of ways the event doesn't occur to the number of ways it occurs. In this case, the odds against drawing a face card from a deck are 9:4. So, there are 9 ways to not draw a face card and 4 ways to draw a face card.
The total number of cards in a deck is 52, and there are 12 face cards (4 jacks, 4 queens, and 4 kings). Therefore, the probability of drawing a face card is:
P(face card) = number of face cards/total number of cards = 12/52 = 3/13
We can check that this probability satisfies the given odds against:
9/4 = 9/(9+4) = 9/13
1 - P(face card) = 1 - 3/13 = 10/13
The odds against drawing a face card is the same as the probability of not drawing a face card, which is 10/13. Therefore, the odds in favour of drawing a face card can be calculated as:
odds in favour= (3/13)/(10/13) = 3/10
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Related Questions
Seven liters of cran-strawberry juice is added to an unknown amount of cran-orange juice to make a fruit punch. The cran-strawberry juice contains 65% cranberry juice. The cran-orange juice contains 50% cranberry juice. The fruit punch contains 60% cranberry juice. How much cran-orange juice does the fruit punch contain?
Answers
50%
The cran-orange juice contains 50% cranberry juice. The juice is 100% juice. Subtract 50% cranberry juice from 100% cran-orange juice and that leaves you with 50% orange juice.
Samuel wants to save enough money to buy a new couch, but isn’t sure which bank’s savings account he should sign up for. Wells Fargo has a yearly interest rate of 6%. Chase has an interest rate of 0.5% compounded monthly. If Samuel deposits $3000 at the beginning of the year and makes no additional deposits or withdrawals, which bank would have the higher balance after one year?
Answers
wells Fargo would have a higher balance after one year
Step-by-step explanation:
wells Fargo would have a higher balance after one year
3x + 5y = 5
-2x-8y = 6
How can you eliminate the x-terms in this system?
3x + 5y = 5
Multiply by ? on both sides.
-2x8y=-6
Multiply by ?
on both sides.
Answers
Answer:
3x + 5y = 5
Multiply by 2 on both sides.
-2x - 8y = -6
Multiply by 3 on both sides.
Step-by-step explanation:
Given system of equations:
\(\begin{cases} \;\;\:3x + 5y = 5\\-2x-8y = 6\end{cases}\)
To eliminate the x-terms in the given system of equations:
Multiply 3x + 5y = 5 by 2 on both sides.Multiply -2x - 8y = 6 by 3 on both sides>3x + 5y = 5 → Multiply by 2 on both sides:
\(\implies 2(3x+5y)=2(5)\)
\(\implies 6x+10y=10\)
-2x - 8y = 6 → Multiply by 3 on both sides:
\(\implies 3(-2x - 8y) = 3(6)\)
\(\implies -6x - 24y = 18\)
Add them together to eliminate x:
\(\begin{array}{crcccc}&6x&+&10y&=&10\\+&(-6x&-&24y&=&18\\\cline{2-6} &&-&14y&=&28\end{array}\)
Carlos has a nail in his car tire. The tire is not flat, but he's on his way to get it fixed. He's driving at a constant speed, and the diameter of the tire is 2.5 feet.
Using cos write an equation that could model the height of the nail from the ground.
Answers
To model the height of the nail from the ground using the cosine function, we can assume that the ground level corresponds to the x-axis, and the positive y-axis represents the upward direction. Let's denote the height of the nail as "h" and the distance traveled by Carlos as "x" (measured horizontally along the ground).
Given:
- Diameter of the tire = 2.5 feet
Using the cosine function, we can relate the angle of rotation of the tire (θ) to the height of the nail (h). The angle θ can be determined based on the distance traveled by Carlos (x) and the radius of the tire (r), which is half the diameter.
Since the diameter is 2.5 feet, the radius (r) is 2.5 / 2 = 1.25 feet.
Using the cosine function, we have:
cos(θ) = adjacent side / hypotenuse
In this case, the adjacent side represents the height of the nail (h), and the hypotenuse corresponds to the radius of the tire (r).
Therefore, we can write the equation:
cos(θ) = h / r
Substituting the values:
cos(θ) = h / 1.25
Simplifying the equation:
h = 1.25 * cos(θ)
This equation models the height of the nail (h) from the ground in terms of the cosine of the angle of rotation (θ) of the tire.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Study the following program:
x = 1 while True: if x % 5 = = 0: break print(x) x + = 1 What will be the output of this code?
Answers
The output of the following code snippet will be 1, 2, 3, and 4.
The reason is that the while loop runs infinitely until the break statement is executed. The break statement terminates the loop if the value of x is divisible by 5. However, the value of x is incremented at each iteration of the loop before checking the condition. Here is the step-by-step explanation of how this code works:
Step 1: Assign 1 to x.x = 1
Step 2: Start an infinite loop using the while True statement.
Step 3: Check if the value of x is divisible by 5 using the if x % 5 == 0 statement.
Step 4: If the value of x is divisible by 5, terminate the loop using the break statement.
Step 5: Print the value of x to the console using the print(x) statement.
Step 6: Increment the value of x by 1 using the x += 1 statement.
Step 7: Repeat steps 3-6 until the break statement is executed.
Therefore, the output of the code will be: 1 2 3 4.
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6x² + 4x / 6x² + 13x + 6 ( please show work )
Answers
Answer: 6x+4x +13x+6 equal
Benny has 188 colored cubes. He plans on splitting
them evenly into separate boxes but has 6 left over.
How many boxes might Benny have used?
Answers
Answer:
7 Boxes
Step-by-step explanation:
188 - 6 = 182
What divides evenly into 182?
7 goes into 182 evenly.
There are 7 boxes with 26 in each. And 6 left over.
Referring to the figure, find the measure of arc MLK
Answers
Measure of arc MLK is 270°
Explanation:Angle MKL = 135 degrees
We are looking for the measure of the arc MLK
The diagram shows an angle formed by a chord (MK) and tangent
The relationship between angle formed by a chord and tangent:
\(Inscribed\text{ angle = }\frac{1}{2}\text{ m of arc MLK}\)Measure of arc MLK:
\(\begin{gathered} \text{Measure of arc MLK = 2(inscribed angle)} \\ \\ In\text{scribed angle = 135}\degree\text{ } \\ \text{Measure of arc MLK = 2(135)} \\ \text{Measure of arc MLK = }270\degree \end{gathered}\)
Find the coordinates
Answers
Given:
Midpoint = (2,-14)
One endpoint = (4,-13)
To find:
The another endpoint.
Solution:
Let (a,b) be the another endpoint.
Midpoint formula:
\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)
Using midpoint formula, we get
\((2,-14)=\left(\dfrac{a+4}{2},\dfrac{b+(-13)}{2}\right)\)
\((2,-14)=\left(\dfrac{a+4}{2},\dfrac{b-13}{2}\right)\)
On comparing both sides, we get
\(2=\dfrac{a+4}{2}\)
\(4=a+4\)
\(4-4=a\)
\(0=a\)
And,
\(-14=\dfrac{b-13}{2}\)
\(-28=b-13\)
\(-28+13=b\)
\(-15=b\)
Therefore, the another endpoint is (0,-15).
1. Should there be a global effort to sharply reduce the cutting and burning of old-growth forests? Cite your references to support your claim.
2. If A,B,C,D,E,F,G,H,I,J,K,L,M,N,O,PQ,,R,S,T,U,V,W,X,Y,& Z Equals 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27, & 28% respectively. Which makes ____ safe behavior which is your best choice both ON and OFF the job
Answers
Should there be a global effort to sharply reduce the cutting and burning of old-growth forests?
Yes, there should be a global effort to sharply reduce the cutting and burning of old-growth forests. Old-growth forests are vital ecosystems that provide numerous environmental, social, and economic benefits. They are home to diverse species, including endangered ones, and play a crucial role in carbon sequestration, mitigating climate change, and preserving biodiversity.
Cutting and burning old-growth forests contribute to deforestation, habitat loss, and greenhouse gas emissions. It disrupts ecosystems, threatens species survival, and exacerbates climate change. Protecting old-growth forests is essential for maintaining ecological balance and promoting sustainable development.
Numerous references and scientific studies support the importance of preserving old-growth forests. Some relevant sources include:
"The Importance of Old-Growth Forests" by the World Wildlife Fund (WWF): https://www.worldwildlife.org/initiatives/old-growth-forests
"Old-growth forest protection: A key tool in fighting climate change" by The Nature Conservancy: https://www.nature.org/en-us/what-we-do/our-insights/perspectives/old-growth-forest-protection-fighting-climate-change/
"Old-Growth Forests: Function, Fate and Value" by the United Nations Environment Programme (UNEP): https://www.unep-wcmc.org/resources-and-data/old-growth-forests-function-fate-and-value
These resources provide comprehensive information on the importance of old-growth forest conservation and the need for global efforts to reduce cutting and burning practices.
The question provided seems incomplete and unclear. It mentions a relationship between letters of the alphabet and percentages but does not provide any context or options to choose from. Please provide more information or clarify the question, and I'll be glad to assist you further.
question: which month has an average low temperature that is cooler than December’s? Explain your answer.
thanks to anyone who helps! giving out brainliest as well :)
Answers
Answer:January
Step-by-step explanation: if it is asking to explain based on data given, you can show that -11.6<-10.4, but if it is asking based on other information that you recieved, i cant really help other then to tell you to look at the cylces of day and night, because some parts of alaska get no sun for 6 months, so that could be why january is averagly colder
Find the sum of each of the following series:
(a) 2 + 7 + 12 + ...... +92
Answers
where u(n) is the nth term (any term).
u⁰ is out first term (2)
d is the common difference (5)
u(n)=u⁰+nd92 =2 +5n5n =90n =18This sequence admits 19 terms since we start counting from 0 till 18.SummationS= number of terms/2 ×(u¹⁸+u⁰)\(s = \frac{19}{2} \times (92 + 2)\)\(s = 9.5(94)\)
\(s = 893\)
That's ur answer :)HURRY!! THIS ASSIGNMENT IS DUE IN 5MIN!!! THANK YOU!!!!!!
Find the discounted price.
flashlight: $18.00 discount: 25%
Answers
Answer:
You can also calculate how much you save by simply moving the period in 25.00 percent two spaces to the left, and then multiply the result by $18 as follows: $18 x . 25 = $4.50 savings.
test question
-5x + 4 - 7 = -18
Answers
Answer:
x=3
Step-by-step explanation:
If quiz grades are normally distributed with a mean of 80. and a standard deviation of 7.0, what is the probability that a student will have a quiz grade of 90. or greater?
Answers
The probability of a student having a quiz grade of 90 or greater is 7.4%.
The probability of a student having a quiz grade of 90 or greater can be calculated using the standard normal distribution. The formula used to calculate this probability is P(x ≥ 90) = 1 - P(x < 90).
The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. To convert our quiz grade to a z-score, we must subtract the mean (80) from our quiz grade (90) and divide by the standard deviation (7). This gives us a z-score of 1.43.
To calculate the probability of a quiz grade of 90 or greater, we subtract the cumulative probability of a z-score of 1.43 from 1. This can be done using a z-table or a calculator. The result of this calculation is 0.0740 or 7.4%.
In conclusion, the probability of a student having a quiz grade of 90 or greater is 7.4%.
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Dress:$35.99 tax:6.75%
Answers
Answer:
38.14 but if rounded up it becomes 38.15
Please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answers
Answer:
61
Step-by-step explanation:
60^2+11^2=z
3721=z^2
z=61
Hope this helps!
How many subsets of two elements can be removed from the set {1,2,3,4,5,6,7,8,9,10,11} so that the mean (average) of the remaining numbers is 6
Answers
There are 6 subsets of two elements that can be removed from the set {1,2,3,4,5,6,7,8,9,10,11} so that the mean (average) of the remaining numbers is 6.
Given set {1,2,3,4,5,6,7,8,9,10,11} from which subsets of two elements need to be removed so that the mean (average) of the remaining numbers is 6.
To calculate the mean, we first find the sum of the remaining numbers, divide it by the total number of remaining numbers.
So,Total sum of elements in the given set = 1+2+3+4+5+6+7+8+9+10+11 = 66
To get the sum of the remaining numbers, we must subtract the sum of two elements in the subsets from the total sum, i.e,66 – (x + y) = 6 * (11 – 2)66 – x – y = 54x + y = 12
For calculating the number of ways to select two elements from the set such that their sum is 12, we have to take (6, 6), (5, 7), (4, 8), (3, 9), (2, 10) and (1, 11).
So, there are 6 subsets of two elements that can be removed from the set {1,2,3,4,5,6,7,8,9,10,11} so that the mean (average) of the remaining numbers is 6. Co
There are 6 subsets of two elements that can be removed from the set {1,2,3,4,5,6,7,8,9,10,11} so that the mean (average) of the remaining numbers is 6.
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Which is the solution set of 7y+1<8y – 9? Multiple choice question. A) {y|y < −10} B) {y|y < 10} C) {y|y > 10} D) {y|y > −10}
Answers
Answer: (c)
Step-by-step explanation:
Given
The inequality is \(7y+1<8y-9\\\)
Solving the above inequality
\(\Rightarrow 7y+1<8y-9\\\\\Rightarrow 1+9<8y-7y\\\\\Rightarrow 10<y\ \text{or}\\\\\Rightarrow y>10\)
Thus, option (c) is correct.
help please no links or files
Answers
Answer:
-8.4 is the answer.(cross multiply )
Answer:
p= -8.4
Step-by-step explanation:
cross multiply
p=-7* 1.2
p=-8.4000001
Which shows the image of triangle WXY after the transformation R0, –90°(x, y)?
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (2, negative 1), W prime (4, negative 1), X prime (4, negative 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 4, 4), W prime (negative 4, 2), X prime (negative 1, 2).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (negative 1, 2), W prime (negative 1, 4), X prime (negative 4, 4).
On a coordinate plane, 2 triangles are shown. The first triangle has points W (negative 4, negative 1), Y (negative 2, negative 1), X (negative 4, negative 4). The second triangle has points Y prime (5, negative 3), W prime (5, negative 1), X prime (2, negative 1).
Answers
Answer:
its c
Step-by-step explanation:
trust me
Answer:
c
Step-by-step explanation:
What is the slope of the line?
Answers
Answer:
8/2 or 4/1
Step-by-step explanation:
To find the slope, you simply count how high up one point is from another (0,0 to 2,8) and then how far over. Since 2,8 is 8 points up from 0,0 the numerator of our slope would be 8; and since 8,2 is two over from 0,0 the denominator is 2. Simplify this to 4/1.
2. Renting is a great option for many people.
Oue
False
Answers
Answer: True. Renting is a great option for many people because it offers flexibility and affordability. Renting allows individuals to live in a desired location without the financial burden and commitment of owning a home. It also provides flexibility, as renters can easily move to a different location if their needs or circumstances change. Additionally, renting can be a more affordable option compared to owning a home, as it typically involves lower upfront costs and maintenance expenses. For these reasons, renting is a viable and attractive option for many people.
Step-by-step explanation:
Round answers to hundredths (to the nearest cent).
4) $24 for 5 lbs. of chedder cheese
Answers
Answer:
$4.80. Per lbs
Step-by-step explanation:
Answer:
4.80$
Step-by-step explanation:
24 divided by 5 is 4.8
This question requires TWO checkboxes to complete. Alex is building the fraction moted below to find the product of the experim 325 one-whole 4 1 ! d 공 중 중 1 a ! 1 6 중 Select the option that correctly completes each statement A 3 Alex can find the product by shading B 5 6 sections in each row. 2 6 15 The product of the expression 3 xãi is 6 f 15 풍 6 E. 75/6
Answers
Alex can find the product by shading 5 sections in each row. In this way, each shaded row represents 5/6.
Now, to find the product, Alex has to add the shaded values, that is,
\(\frac{5}{6}+\frac{5}{6}+\frac{5}{6}=\frac{5+5+5}{6}=\frac{15}{6}\)The area of LMN is 18 ft2, and the area of FGH is 32 ft². If LMN -FGH, what is the ratio of LM to FG?
A. 3:4
B. 3√2:4
C. √3:2
D. 4:3
Please select the best answer from the choices provided
Answers
The ratio of LM to FG is 3:4, so correct option is A.
Describe Triangles?A triangle is a polygon with three sides, three vertices, and three angles. It is one of the basic shapes in geometry and has many properties that make it a useful and interesting shape to study.
The sum of the interior angles of a triangle is always 180 degrees, which is a fundamental property of triangles.
Triangles also have many interesting properties related to their sides, angles, and areas. For example, the Pythagorean theorem states that in a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. The area of a triangle can be calculated using the formula 1/2(base x height) or by using various trigonometric functions.
Triangles are important in many areas of mathematics and science, such as in geometry, trigonometry, calculus, and physics. They are also commonly used in architecture, engineering, and design.
If LMN and FGH are similar triangles, then the ratio of their areas is equal to the square of the ratio of their corresponding side lengths.
Let x be the ratio of LM to FG. Then the ratio of their areas is (x²).
So we have:
LMN / FGH = 18 / 32
(x²) = 18 / 32
x² = 9 / 16
x = (3 / 4)
Therefore, the ratio of LM to FG is 3:4, which is option A.
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Each answer choice represents a square prism, and the measurement of the length of the base is given. The volume of each square prism is equal to 480 cubic centimeters. Which THREE square prisms have a surface area between 375 and 450 square centimeters?
4 centimeters
5 centimeters
6 centimeters
8 centimeters
10 centimeters
Answers
Answer:
is 6 and 4
Step-by-step explanation:
Answer:
5, 8 and 10
Step-by-step explanation: 10 x 8 = 80 x 5 = 400 which is between 375 and 450
Factor the following using GCF and show work. 6x^2+42x-18
Answers
6x^2/6 = x^2
42x/6 = 7x
-18/6 = -3
Your new expression is 6(x^2 + 7x -3).
gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does gem have?
Answers
Jamie's has 3(x+5) toys.
From the question, we have
gem = x toys
max = (x+5) toys
jamie’s = 3(x+5) toys.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
Complete question: Gem has x toys. max has 5 more toys than gem. jamie’s has three times as many toys as max. how many toys does jamie’s have?
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At \( 100 \mathrm{~km} / \mathrm{hr} \), how long would it take to travel through the (thickest) oceanic crust? Choose one: A. 1 hour B. 30 minutes C. 6 hours D. 6 minutes
Answers
It would take approximately 6 minutes to travel through the thickest oceanic crust at a speed of 100 km/hr.
To determine the time it would take to travel through the thickest oceanic crust at a speed of 100 km/hr, we need to know the thickness of the oceanic crust.
The oceanic crust is the outermost layer of the ocean floor and is generally thinner than the continental crust. On average, the thickness of the oceanic crust ranges from 5 to 10 kilometers (km). However, the thickness can vary depending on the specific location and geological factors.
Assuming we consider the thickest part of the oceanic crust, which could be up to 10 km thick, we can calculate the time it would take to travel through it at a speed of 100 km/hr.
Using the formula Time = Distance / Speed, we can determine the time as follows:
Time = (Thickness of Oceanic Crust) / (Speed)
Time = 10 km / 100 km/hr = 0.1 hr
Converting 0.1 hour to minutes, we have:
Time = 0.1 hr * 60 min/hr = 6 minutes
The correct answer is D. 6 minutes. This calculation is based on the assumption that we are considering the thickest part of the oceanic crust, which is approximately 10 km thick. It's important to note that the actual thickness of the oceanic crust can vary, and the time required would depend on the specific thickness encountered during the journey.
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