1.D) collateral
2.A.) Most credit cards are unsecured debt
3.B.)$66.07
4.B.) 2,213.42
4/4 100%
HOPE I HELP I HAVE A NICE DAY
A large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag. Which of the following represents the probability of selecting a red, blue, yellow, or green marble
A) 0.8
B) 0.7
C) 0.9
D) 0.6
Answer: The correct option is (A) 0.8.
Step-by-step explanation: Given that a large bag of marbles contains an equal amount of red, orange, yellow, blue, and green marbles. Brody randomly selects 1 marble from the bag.
We are to find the probability of selecting a red, blue, yellow or green marble.
Let n be the number of each color of marbles in the bag.
That is, the number of red, orange, yellow, blue, and green marbles, each equals n.
Let S denote the sample space of selecting a marble from the bag and A denote the event of selecting a red, blue, yellow or green marble.
Then, we have
n(S) = n + n + n + n + n = 5n,
n(A) = n + n + n + n = 4n.
Therefore, the probability of event A is given by
[tex]P(A)=\dfrac{n(A)}{n(S)}=\dfrac{4n}{5n}=\dfrac{4}{5}=0.8.[/tex]
Thus the required probability selecting a red, blue, yellow or green marble is 0.8.
Option (A) is CORRECT.
Divide. 5x3y3z - 6x4y2z2 + 4xy3z xyz
Final Answer:
The result of dividing [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz is [tex](5x^2y^2 - 6x^3yz + 4y^2z).[/tex]
Explanation:
To divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz, we'll divide each term in the polynomial by xyz separately.
First, let's divide [tex]5x^3y^3z by xyz: (5x^3y^3z) / (xyz) = 5x^2y^2.[/tex]
Then, divide [tex]-6x^4y^2z^2 by xyz: (-6x^4y^2z^2) / (xyz) = -6x^3yz.[/tex]
Lastly, divide [tex]4xy^3z by xyz: (4xy^3z) / (xyz) = 4y^2z.[/tex]
Thus, the resulting polynomial after division is [tex]5x^2y^2 - 6x^3yz + 4y^2z.[/tex]This is derived from individually dividing each term in the polynomial by xyz, simplifying each term, and collecting like terms together to obtain the final result.
In this process, division by xyz means dividing each term of the polynomial by the factors x, y, and z, and simplifying the expression. By doing so, we obtain a simplified form of the polynomial where each term is reduced by the common factors x, y, and z, resulting in the expression [tex](5x^2y^2 - 6x^3yz + 4y^2z)[/tex] as the quotient.
Complete question:
Divide [tex](5x^3y^3z - 6x^4y^2z^2 + 4xy^3z)[/tex] by xyz.
Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.A cube-shaped bin has an edge length of 34 yard.What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box.
A teacher gave his class two quizzes; 80% of the class passed the first quiz, but only 60% of the class passed both quizzes. What percent of those who passed the first quiz also passed the second quiz?
the answer to the question is 75%
Answer:
75
Step-by-step explanation:
P(2ndquiz|1st quiz)=P(passed both quizzes)/P(1st )=0.06/0.08=0.75 that means 75%
Compare and Contrast: Below are two equations. Solve each equation and compare the two solutions. Choose the statement that is true about each solution. Equation #1 Equation #2 |2x - 4| = 5 |3x - 4| = -12 Equation #1 and Equation #2 have the same number of solutions. Equation #1 has more solutions than equation #2. Equation #1 has fewer solutions than equation #2. None of the statements above describe the number of solutions to equations shown.
find A if 17th and 18th terms in the expansion of (2+A)^50 are equal.
algebra help please?
John and Matt are going to fill a pool with 2 different sized hoses. John can fill the pool in 5 hours, while Matt can complete it in 10 hours. Explain each step in solving this equation.
Use the given point on the terminal side of angle 0 to find the value of the trigonometric function indicated.
1)tan0;(10,-18)
2)tan0;(4,3)
Help me solve this math problem
Can someone please help me solve for x and y? Thank you
Please help.
What are the dimensions of the matrix?
⎡1 0 9⎤
⎢-2 3 5⎢
⎢5 4 -6⎢
⎣11 5 7⎦
Enter your answers in the boxes.
The matrix is a [_] × [_] matrix.
The size of a matrix is defined by the number of rows and columns that it contains.
The dimensions of a matrix are the number of rows by the number of columns.
The number of rows and columns of a matrix, written in the form rows×columns.
The given Matrix has four rows and three columns,
The rows go side to side; the columns go up and down. "Row" and "column" are technical terms, and are not interchangeable.
Matrix dimensions are always given with the number of rows first, followed by the number of columns.
The matrix is a [4_] × [3_] matrix.
Wyatt's dog is tethered to a post in his yard. If the rope tied to the dog is 12 feet long, how many square yards does the dog have access to? (Use 3.14 for π.)
https://clackamasweb.owschools.com/media/g_mat08_ccss_2016/7/img_circle_quiz.gif
452.16 yd 2 50.24 yd 2 75.36 yd 2 25.12 yd 2
Solution:
Wyatt's dog is tethered to a post in his yard.
The rope tied to the dog is 12 feet long.
we have been asked to find
How many square yards does the dog have access to?
when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.
So Area access to dog in ft^2 [tex] = \pi r^2=\pi 12^2=144 \pi [/tex]
But it ask for area in yards, so we will have to use conversion formula
[tex] 1ft=0.33333yard [/tex]
Area access to dog in yards[tex] =144*3.14*(0.33333)^2=50.24 \ Yards [/tex]
Answer:
Wyatt's dog is tethered to a post in his yard.
The rope tied to the dog is 12 feet long.
we have been asked to find
How many square yards does the dog have access to?
when Wyatt's dog is tethered to a post in his yard, then that dog can move along that post only and the area covered will be a circle with radius 12ft.
So Area access to dog in ft^2
But it ask for area in yards, so we will have to use conversion formula
Area access to dog in yards
Step-by-step explanation:
Please help thank you!
A metronome uses a pendulum to keep time. The table gives the angular displacement of a pendulum as it swings back and forth. What is the period of its oscillations?
Time Angle
0.0 15.0
0.1 2.55
0.2 -14.4
0.3 -7.35
0.4 11.6
0.5 11.3
Solve for x.
[tex]cos x= \frac{ \sqrt{3} }{2}[/tex]
A: 0.15°
B: 0.87°
C: 30°
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
we are given
[tex]\frac{3x^6-19x^4-4x^3-24x^2+2x+178}{-2x^2-6}[/tex]
we can use long division method to divide it
so, we get
[tex]Quotient=-\frac{3x^4}{2}+14x^2+2x-30[/tex]
[tex]Remainder=14x-2[/tex]...........Answer
Ben is repacking a 45-pound bag of rice into 8 smaller bags. How much rice is going to be in each smaller bag/11008924/c50ec7f7?utm_source=registration
Two planes start from the same airport and fly in opposite directions. the second plane starts 1/2 hour after the first plane, but its speek is 50 miles per hour faster. find the air speed of cach plan, if 2 hours after the first plante departs, the plans are 2000 miles apart
Find the absolute maximum and minimum values of the following function on the given interval. If there are multiple points in a single category list the points in increasing order in x value and enter N in any blank that you don't need to use.
f(x)=9x^3−27x+9, [0,3],
A sphere has a radius of 2x + 5. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4pir2 for surface area of a sphere.
PLEASE I NEED MAJOR HELP (PICTURE IS DOWN BELOW)
The table shows the snack preferences of 50 shoppers at the mall. What is the probability that one shopper, selected at random from the 50 surveyed, preferred the potato chips or pretzels? Fruitsnacks/9 shoppers, Potatochips 12 shoppers, Apple 3 shoppers, pretzels 14 shoppers, Water 12 shoppers ---> are the answers for the question---> A. one over five B. thirteen over twenty-five C. one over ten D. eighteen over twenty five
The engine of a car has a displacement of 305 cubic inches. what is the displacement in cubic feet? round your answer to 2 decimal places.
Answer:
0.18 cubic feet (in 2 decimal places)
Step-by-step explanation:
The relationship between the unit of measurement inches and the unit of measurement feet may be expressed mathematically as
12 Inches = 1 feet
finding the cube of both sides i.e both sides to the power of 3,
1728 cubic inches = 1 cubic feet
therefore,
305 cubic inches
= 305/1728 cubic feet
= 0.1765 cubic feet
A slice is made parallel to the base of a triangular pyramid. What is the shape of the resulting two-dimensional cross-section? Drag and drop the word to correctly complete the sentence. The cross-section is in the shape of a . rectangletriangletrapezoid
Manny Brought a brand new car in 2012 for $28750. if the car depreciates by 12% each year, write n exponential function to model the situation, then find the value of the car in 2018
Value of the car in 2018 after depreciation by 12% each year is equals to $13351.5
What is exponential decay?" Exponential decay is the decrease in the value of the product at a constant rate over a period of time interval."
Formula used
y = a (1 - r)ⁿ
a = Initial value
r =rate of depreciation
n = time
y = exponential function
According to the question,
Cost of new car 'a' = $28750
Rate of depreciation 'r' = 12%
2018 - 2012 = 6years
n = 6
Substitute the given values in the formula we get,
Exponential function
y = 28750 [1 - (12 / 100)]⁶
⇒ y = 28750 ( 1 - 0.12)⁶
⇒ y = 28750 ( 0.88)⁶
⇒ y = 28750 (0.4644) ( up to four decimals)
⇒ y = $13351.5
Hence, value of the car in 2018 after depreciation by 12% each year is equals to $13351.5
Learn more about exponential decay here
https://brainly.com/question/2193799
#SPJ2
The area of a right triangle with one leg measuring 5ft and hypotenuse measuring 13ft is
A 30ft to the 2
B 37.5 ft to the 2
C 65ft to the 2
Simplify the expression. w5(w2)–4
Answer:
[tex]\frac{1}{w^{3} }[/tex]
Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4
Factor the common factor out of 8x3 + 12x.