The probability that the bag is not orange is given as follows:
p = 5/12.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes.
In this problem, the parameters are given as follows:
A total amount of 12 marbles.A desired amount of 12 - 7 = 5 non-orange marbles.Hence the probability that the bag is not orange is given as follows:
p = 5/12.
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What is the median of the data set? 9, 3, 10, 12, 4, 5, 12, 2 enter your answer in the box.
The median of the given standard data set 9, 3, 10, 12, 4, 5, 12, 2 will be calculated approximately to 7. So , the median of the dataset is 7.
The median is a measure of central tendency that gives us an idea of where the "middle" of a data set lies. In other words, it gives us a value that separates the data set into two equal parts, with half of the values being above the median and the other half being below the median.
To find the median of a data set, the first step is to arrange the values in ascending or descending order. This makes it easier to identify the middle value(s) in the data set.
If the data set has an odd number of values, then there is a single middle value and that value is the median. For example, if we have the data set: 1, 2, 3, 4, 5, the median would be 3 because it is the middle value in the ordered set.
If the data set has an even number of values, then there are two middle values and the median is the average of those two values. For example, if we have the data set: 1, 2, 3, 4, 5, 6, the median would be the average of 3 and 4, which is (3 + 4) / 2 = 3.5.
So, in the case of the data set: 9, 3, 10, 12, 4, 5, 12, 2, we arrange the values in ascending order: 2, 3, 4, 5, 9, 10, 12, 12. Since there are 8 values, which is an even number, there are two middle values: 5 and 9. The median is the average of these two values, which is (5 + 9) / 2 = 7.
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17. The record low temperature in Missouri was −40°F, set February 13, 1905. The record high temperature of 118°F was set July 14, 1954, in the same city: Warsaw, Missouri. The Missouri mean temperature is 55°F. Determine whether the record high or the record low is closer to the mean temperature than the other record, and how much closer is it? Make sure you show your work to support your answer.
Answer:
The record high temperature of 118°F is 63°F higher than the mean temperature of 55°F. The record low temperature of -40°F is 95°F lower than the mean temperature of 55°F. The record high temperature of 118°F is closer to the mean temperature than the record low temperature of -40°F by 32°F.
Given the parabola f(x)=-(x-8)^2+5, describe three transformations which would transform the graph of y=x^2 into the graph of f(x). Give both the transformations and the order.
The transformations and the order are a shift of 8 units left and 5 units up
How to determine the transformations and the order.From the question, we have the following parameters that can be used in our computation:
f(x) = (x - 8)^2 + 5
The parent function is given as
y = x^2
When these functions are compared, we have
y = x^2 is shifted right by 8 units and shifted up by 5 units to get f(x)
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Create an imaginary profile for someone who CAN be claimed as a dependent and someone who CANNOT be claimed as a dependent on taxes. Be sure to include their age and at least TWO details that explain why they can or cannot be claimed as a dependent.
What is stoichiometry formula?
Stoichiometry formula is founded on the basis that law of conservation of mass where the total mass of the reactants = total mass of the products.
What is Stoichiometry?This is referred to as the relationship between the relative quantities of substances taking part in a reaction or forming a compound, typically a ratio of whole integers.
The stoichiometry of a balanced chemical equation identifies the maximum amount of product that can be obtained. The stoichiometry of a reaction describes the relative amounts of reactants and products in a balanced chemical equation.
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Bob is interested in examining the relationship between the number of bedrooms in a home and its selling price. After downloading a valid data set from the internet, he calculates the correlation. The correlation value he calculates is only 0.05What does Bob conclude? A)Bob gives up on his research becauser=.05 means there is no relationship of any kind between bedrooms and selling price. B) Bob continues his research because even though there is no linear relationship here, there could be a different relationship.
Bob continues his research because even though there is no linear equation relationship between the number of bedrooms and selling price, there could be another type of relationship.
Bob continues his research because even though the correlation value he calculated between the number of bedrooms and the selling price was only 0.05, this does not necessarily mean that there is no relationship of any kind between these two variables. It simply means that there is no linear relationship between the two. There could still be other types of relationships between the two variables, such as an exponential or quadratic relationship. It is possible that further analysis and exploration of the data set would reveal such a relationship and allow Bob to uncover the relationship between the two variables. Additionally, even if the correlation value is low, it does not necessarily mean that there is no relationship between the two variables. It simply means that the relationship is weak. Therefore, Bob should continue his research in order to uncover any potential relationships between the number of bedrooms and selling price.
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what are the ordered pairs of the solution for this system of equations f(x) = x^2 -2x+3 ; f(x) = -2x + 12
What is one tenth more than 13.7?
The value of the number one-tenth more than 13.7 is 13.8.
What is a decimal number?
In geometry, a polygon is a type of plane figure and is defined as a closed polygonal chain made up of a finite number of straight-line segments. A region that is enclosed by a bounding plane, a bounding circuit, or both are referred to as a polygon. The portions of a polygonal circuit are referred to as its edges or sides.
Given that numbers are one-tenth and 13.7.
More means add two numbers.
One-tenth = 1/10
The number one-tenth more than 13.7 is
1/10 + 13.7
= 0.1 + 13.7
= 13.8
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Hal sold a box of 30 books at a yard sale for a total of $62.16. He sold the paperback books for $1.78 each and sold the hardcover books for $2.51 each.
Which system of equations can be used to determine the number of $1.78 paperback books, x, and the number of $2.51 hardcover books, y, that were
sold at the yard sale?
Answer:
Step-by-step explanation:
Let x be the number of $1.78 paperback books and y be the number of $2.51 hardcover books that were sold. The total number of books is x + y = 30 and the total amount of money earned is $62.16. The cost of the paperback books is x * $1.78 and the cost of the hardcover books is y * $2.51.
So, we have the following system of equations:
x + y = 30 (the total number of books is 30)
x * $1.78 + y * $2.51 = $62.16 (the total amount of money earned is $62.16)
This system of equations can be used to determine the number of $1.78 paperback books and the number of $2.51 hardcover books that were sold at the yard sale.
Which equation represents a proportional relationship?
A. y = 4x+1
B. y = 5x²
C. y=9
B. y = 5x² represents a proportional relationship.
In a proportional relationship, the ratio of the dependent variable (y) to the independent variable (x) is constant. In this equation, as x increases, y also increases by a constant factor (5 times x). This indicates that the two variables are proportional to each other.
In A. y = 4x + 1 and C. y = 9, there is no constant ratio between y and x, so they do not represent proportional relationships.
Below are the dimensions for a US postal office box that you are wrapping as a gift.
Explain how to find the surface area of this box. You may explain using words or numerically.
also there is a 12in 2in and 8in on it
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Surface area
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Area = length x breadth
To find the surface area of the postal box, we first find the area of each sides of the box and add them together.
Top and bottom area = L x B = 12 x 8 = 96inches² x 2 = 192inches²
Front and back areas = L x B = 12 x 2 = 24inches² x 2 = 48inches²
Area of the sides = L x B = 8 x 2 = 16inches² x 2 = 32inches²
Total surface area will be 192 + 48 + 32 = 272inches²
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You borrow $200 from a relative for six months. You agree to pay compound interest at
the rate of 1% per month. How much interest will you pay your relative when you return the
money at the end of the six months?
a.
$201.00
c.
$12.30
b.
$11.66
d.
$210.00
Answer: D (210.00)
Step-by-step explanation:
According to the formula of compound INTEREST this is correct
Suppose the account in #3 above paid interest quarterly instead of annually. Find the account balance after 5 years.
The account with compound interest of 7.2 % quarterly after 5 years is given by A = $ 1,428.75
What is Compound Interest?Compound interest is interest based on the initial principle plus all prior periods' accumulated interest. The power of compound interest is the ability to generate "interest on interest." Interest can be added at any time, from continuously to daily to annually.
The formula for calculating Compound Interest is
A = P ( 1 + r/n )ⁿᵇ
where A = Final Amount
P = Principal
r = rate of interest
n = number of times interest is applied
b = number of time periods elapsed
Given data ,
Let the amount after compound interest be represented as A
Now , the equation will be
The initial principal amount = $ 1000
The rate of interest r = 7.2 %
The number of times interest is applied n = 4 ( quarterly )
The number of years b = 5 years
A = P ( 1 + r/n )ⁿᵇ
Substituting the values in the equation , we get
A = 1000 ( 1 + 0.072/4 )⁴ˣ⁵
On simplifying the equation , we get
A = 1000 ( 1 + 0.018 )²⁰
On further simplification , we get
A = 1000 ( 1.018 )²⁰
A = $ 1,428.75
Hence , the amount after 5 years is $ 1,428.75
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Maurice has completed 48 pages of the research paper he is writing. That is 80% of the required length of the paper. What is the required length of the paper? The required length of the paper is pages.
Answer:
We can use the proportion:
48 pages / x = 80% / 100%
where x is the required length of the paper in pages.
First, we can simplify the right-hand side of the equation:
80% / 100% = 0.8
Next, we can solve for x by cross-multiplying:
48 pages / 0.8 = x
x = 60 pages
Therefore, the required length of the paper is 60 pages
Find the area of this rectangle please help!
I got 9 7/9 by using a calculator
answer the question. if you get it correct ill give it 5 stars and the brainiest.
(x^2 - 7x - 18)/(x + 2) = x - 9 can be simplified by multiplying both sides of the equation of x + 2. The new equation is x^2 - 7x - 18 = x^2 - 7x - 18. Therefore the equation's solution is all real numbers.
Can anyone write the quadratic of the equation in factored form?
The factored form of the quadratic equation is given as follows:
y = 3(x + 0.6667)(x - 6).
How to obtain the factored form of the quadratic equation?The quadratic equation for this problem is defined as follows:
3x² - 16x - 7 = 5.
3x² - 16x - 12 = 0.
The coefficients are given as follows:
a = 3, b = -16, c = -12.
Hence the discriminant is of:
D = (-16)² - 4(3)(-12)
D = 400.
Then the roots are of:
x = (16 - sqrt(400))/6 = -0.6667.x = (16 + sqrt(400))/6 = 6.Considering the leading coefficient of 3 and the roots, the factored form of the equation is given as follows:
y = 3(x + 0.6667)(x - 6).
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Find the percent of the quantity.
150% of 56 =
Answer:
84
Step-by-step explanation:
What is a percentage?A percentage is a ratio or a number expressed in the form of a fraction of 100. Percentages are often used to express a part of a total.
To solve for 150% of 56, we can multiply 56 by 150%.
56 × 150% = 84Therefore, 150% of 56 is 84.
What is the result of multiplying the first equation by −3
and adding to the second equation?
5x−2y=−2
3x+y=12
A. −10x+8y=15
B.−12x+7y=18
C. 12x+7y=18
D.8x−y=10
Answer:i got u mate
The answer is a _10×+8y=15
Step-by-step explanation:
PLEASSEEEEEE HELPPPPP ASAPPP IM SO SORRY BUT THIS IS THE LAST ONE FOR TODAY I THINKK
Solve for x and y
The value of x and y in the right triangle are as follows:
x = 15√3 units
y = 30 units
How to find the side of a right triangle?A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles of a right angle triangle is 180 degrees.
The side x and y can be found using trigonometric ratios,
tan 60° = opposite / adjacent
tan 60° = x / 15
cross multiply
x = 15 tan 60°
x = 15 × √3
x = 15√3 units
Let's find y as follows:
cos 60° = adjacent / hypotenuse
cos 60° = 15 / y
cross multiply
y = 15 / cos 60
y = 15 ÷ 1 / 2
y = 15(2)
y = 30 units
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Is -9(k-5+2k-8) and -27k+117 equivalent expressions
-9(k-5+2k-8) and -27k+117 are equivalent expressions since the solution of -9(k-5+2k-8) = -27k+117.
What are equivalent expressions?Equivalent expressions are algebraic expressions that produce the same answer when being simplified. They are said to be a similar expression for whatsoever process used to solve the expression, either by substitution of values or applying mathematical property, they tend to produce equivalent expressions at the end. The equality sign is used between two algebraic expressions that are said to be equivalent.
Given that:
= -9(k-5+2k-8)
Open brackets
= -9k + 45 - 18k + 72
= -27k + 117
Therefore, we can say -9(k-5+2k-8) and -27k+117 equivalent expressions are equivalent expressions.
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You deposit $1000 in a savings account that earns 5% annual interest compounded yearly.
(a) Write an exponential equation to determine when the balance of the account will be $1500.
(b) Solve the equation.
The balance of the account will be 1500 in a period of 8.31 years.
What is Compound Interest?Compound interest is defined as the amount of interest which has been calculated on the principal amount as well as the amount accumulated over the previous period is also included.
(a) The final amount in a compound interest is,
A = P(1 + [tex]\frac{r}{n}[/tex] )^ (nt), where,
A : Final amount
P : Principal amount
r : Rate of interest
t : Time in years
n : number of times compounded in a year
Given A = $1500, P = $1000, r = 0.05, n = 1
The equation is,
1500 = 1000 (1 + 0.05)^t
(b) 1500 = 1000 (1 + 0.05)^t
1500 / 1000 = (1.05)^t
1.5 = (1.05)^t
Taking logarithm on both sides,
㏒ (1.5) = t ㏒ (1.05) [since ㏒ (a)ᵇ = b ㏒ (a)]
t = ㏒ (1.5) / ㏒ (1.05)
t = 8.31 years
Hence the amount will be $1500 in 8.31 years.
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The graph below belongs to which function family?
50
linear
O quadratic
cubic
4
32
+++
2+
1
-10-6-4-2₁
-2+
& A w
2 4 6 8 10 X
Answer:
Step-by-step explanation: n The graph is of an absolute value function. Step-by-step explanation: For x ≥ 0, the graph is given by. ⇒ x + 2y = 6. ⇒. ⇒ ........ (1).
Missing: 50 32 2₁
Hope that helps:)
the data set shows the numbers of hours students study the week before the a test. find an interpert the mean absolute deviation of the data.
1, 2, 5,5,5,5,6,7,8,9.
The answer is 1.6!!!
How old are?
Help ASAP WILL GIVE BRAINILEST
Answer:
My friend didn't factorise the x in 4xy out.
Step-by-step explanation:
15x-20xy= 5x(3-4y)
You have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy. Find the inequality that responds the number of copies you can make. Use c as the variable. What is the maximum number of copies you can afforded to make?
The required number maximum number of copies can be afforded c < 13.33.
What is inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
We have $4.00 and you need to make copies of a flyer at a store that charges $0.30 per copy.
Here,
Let the number of copies be c,
According to the question,
0.30c < 4
c < 4/ 0.30
c < 13.33
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If 1/5+1/5=a/5 then a=
Answer: a = 2 because 1 + 1 = 2
Step-by-step explanation:
I NEED HELP ASAP Please and Thank You!
An exponential decay function that shows the relationship between y and t is y = 16,000 (0.74)^t.
What is an exponential decay function?An exponential decay function is one of the two types of exponential functions, including an exponential growth function.
Exponential functions are depicted as y = abˣ, where "a" is a constant, b is the base and x is the variable exponent.
The purchase value of a car = $16,000
Annual decreasing rate in value = 26%
Decayed value after 1 year = 0.74 (1 - 26%)
Let the number of years after the purchase = t
Let the resale value of the car after t years = y
Exponential Function:Resale value after t years, y = 16,000 x (1.074)^t
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Solve. 1. Denver is called the Mile-High City because it is at an altitude of 1 mile. How many feet is this? Can some one please help asap?
One mile is equal to 5,280 feet. Therefore, to convert the altitude of Denver from miles to feet, we can multiply by 5,280:
1 mile × 5,280 feet/mile = 5,280 feet
So, Denver's altitude of 1 mile is equal to 5,280 feet.
In ΔVWX, w = 680 inches, m∠X=15° and m∠V=116°. Find the length of W, to the nearest 10th of an inch
Answer:
W = 680 in
Step-by-step explanation:
You want the length of side w in ∆VWX, where w = 680 in, X = 15°, and V = 116°.
ReadingAs written, this seems to be a problem in reading comprehension. You are asked for one of the values that is given in the problem statement:
W = 680 inches
__
Additional comment
The attachment shows the solution of the triangle. In this, we have used ∆ABC ≅ ∆VWX.