[tex] |\Omega|=6^2=36\\
|A|=1\cdot3=3\\\\
P(A)=\dfrac{3}{36}=\dfrac{1}{12}\approx8.3\% [/tex]
A 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours. Assuming the variables are directly related, how many hours would a 9-ounce candle be expected to burn?
18
27
33
45
Answer:
B. 27.
Step-by-step explanation:
We have been given that a 20-ounce candle is expected to burn for 60 hours. A 12-ounce candle is expected to burn for 36 hours.
We know that a direct proportional equation is in form [tex]y=kx[/tex], where k represents constant of proportionality.
Let is find value of k by substituting [tex]x=20[/tex] and [tex]y=60[/tex] in above equation as:
[tex]60=k*20[/tex]
[tex]\frac{60}{20}=\frac{k*20}{20}[/tex]
[tex]3=k[/tex]
The equation [tex]y=3x[/tex] represents our given direct proportional relation.
Now, we will substitute [tex]x=9[/tex] to solve for y as:
[tex]y=3*9[/tex]
[tex]y=27[/tex]
Therefore, a 9-ounce candle would be expected to burn for 27 hours and option B is the correct choice.
What is the height of the trapezoid?
Slips of paper numbered 1 through 14 are placed in a hat. in how many ways can two numbers be drawn so that the sum of numbers is 12
What did the prince do whenever he found a girl who might be cinderella
Final answer:
When a prince in fairy tales finds a potential Cinderella, he typically engages in a quest to determine if she is the one, reflecting the theme of male heroism and romantic pursuit found in traditional literature and films.
Explanation:
The passage raises the theme of romantic endeavors and the traditional role of women in classical literature and film, typically anchored within the context of royalty and fairy tales. When the prince in such stories finds a girl that could potentially be Cinderella, typically he would engage in a quest to discover if she truly is the one - often symbolized by a glass slipper fitting or other identifying item. This quest underscores the narrative of countless romantic tales where the male lead seeks to find and often rescue his female counterpart, a concept reflected in various Disney princess movies.
In the greater realm of literature and films, the prince often represents the chivalrous savior. This tradition is evident in the series of princess-centric stories produced by Disney, where a common girl becomes royalty by marriage or starts as a princess whose ultimate happiness is achieved through romance. Although contemporary stories may showcase more agency in their female protagonists, the motif of the male hero remains prevalent.
able below shows the relative frequencies of the color of cars bought last month by males and females. Which percentage represents the car bought most often? Male Female Total Blue Car 0.04 0.12 0.17 Black Car 0.08 0.06 0.13 White Car 0.11 0.20 0.31 Gray Car 0.02 0.09 0.11 Red Car 0.17 0.10 0.27 Total 0.43 0.57 1.00
Answer:
31%
Step-by-step explanation:
Answer:
31%
Step-by-step explanation:
please help...
The radius of the planet is 4100 miles. Find the distance d to the horizon that a person can see on a clear day from a height of 1298 feet above the planet. (hint: use the conversion 1 mile = 5280 ft) Round your answer to the nearest 10th, and don't forget to convert feet to miles.
Write an equation of a line containing (2, 1) and (3, 4) in point-slope form.
Subtract. (4x^2+8x−2)−(2x^2−4x+3) Enter answer, in standard form
I really need help with this!!
Look at the figure rectangle PQRS, find m angel P
Answer: [tex]144^{\circ}[/tex]
Step-by-step explanation:
In the given figure , we have given a parallelogram .
We know that the opposite sides and angles of a parallelogram are equal.
Thus from the given parallelogram PORS we have
[tex]\angle {Q}=\angle {S}\\\\\Rightarrow\ (4\alpha-12)^{\circ}=3\alpha^{\circ}\\\\\Rightarrow\ 4\alpha-12=3\alpha\\\\\Rightarrow 4\alpha-3\alpha=12\\\\\Rightarrow\ \alpha=12[/tex]
Also, the value of angle p is given by :-
[tex]\angle {P}=12\alpha^{\circ}\\\\\Riightarrow\ \angle {P}=12(12)^{\circ}\\\\\Riightarrow\ \angle {P}=144^{\circ}[/tex]
How would you find the width of a golden rectangle if your givin the length?
When the temperature is 68 F, the speed of the sound in air is approximately 343 meters per second. Approximately how many kilometers dose sound travel in five seconds?
Show all your work
Find the volume of a sphere with a great circle area of 201.06 square inches
Final answer:
To find the volume of a sphere with a given great circle area, solve the equation 4πr² = 201.06 to find the radius, then use the formula V = (4/3)πr³ to calculate the volume. The volume is approximately 267.97 cubic inches.
Explanation:
To find the volume of a sphere with a given great circle area, we first need to find the radius of the sphere. The great circle area is equal to the surface area of the sphere, which is 4πr², where r is the radius of the sphere. In this case, the great circle area is 201.06 square inches, so we can solve the equation 4πr² = 201.06 to find the radius. Once we have the radius, we can use the formula for the volume of a sphere, V = (4/3)πr³, to calculate the volume.
First, let's solve the equation 4πr² = 201.06 for r:
4πr² = 201.06
r² = 201.06 / (4π)
r² ≈ 16.06
r ≈ √16.06 ≈ 4.01
Now that we have the radius, we can calculate the volume using the formula V = (4/3)πr³:
V ≈ (4/3)π(4.01)³ ≈ 267.97 cubic inches
A multiple choice test has 9 questions each of which has 5 possible answers
Mr. and Mrs. Yeager want to buy a home valued at $320,000. If they have 15% of this amount saved for a down payment, how much have they saved? a. $480 b. $4,080 c. $4,800 d. $48,000
Answer:
The correct answer is D
Step-by-step explanation:
I got it right on Edge.2020. Have a great day!
If they have 15% of this amount saved for a down payment, then they saved 48000 dollar.
So option D) $48,000 is correct.
What is the fundamental principle of multiplication?Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
We are given that Mr. and Mrs. Yeager want to buy a home valued at $320,000.
If they have 15% of this amount saved for a down payment, then
15% =15/100=0.15
Therefore, we get;
0.15 (320000)=48000
If they have 15% of this amount saved for a down payment, then they saved 48000 dollar.
So option D) $48,000 is correct.
Learn more about multiplications;
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Anyone know this geometry question?
WZ and XR are diameters of circle C. The diagram is not drawn to scale.
What is the measure of convex arc upper ZWX?
The measure of convex arc upper ZWX is 180 degrees.
Explanation:The measure of convex arc upper ZWX can be found by considering the angles formed by the diameters WZ and XR. Since WZ and XR are diameters of the circle, they intersect at the center of the circle. The angle formed by the diameters at the center is a right angle, which means that arc upper ZWX is a semicircle. A semicircle has a measure of 180 degrees. Therefore, the measure of convex arc upper ZWX is 180 degrees.
Please help i'm really confused.
0! = 0
True
False
You plan on financing a new road bike for $2,500. The bike shop offers a 13.5% APR for a 24 month loan. Use this information, and the table above, to determine the monthly payments. Round your answer to the nearest cent.
A box contains 16 transistors, 5 of which are defective. if 5 are selected at random, find the probability that
a. all are defective. and. none are defective.
A - all defective
B - none defective
[tex] \displaystyle
|\Omega|=\binom{16}{5}=\dfrac{16!}{5!11!}=\dfrac{12\cdot13\cdot14\cdot15\cdot16}{2\cdot3\cdot4\cdot5}=4368\\
|A|=1\\
|B|=\binom{11}{5}=\dfrac{11!}{5!6!}=\dfrac{7\cdot8\cdot9\cdot10\cdot11}{2\cdot3\cdot4\cdot5}=462\\\\
P(A)=\dfrac{1}{4368}\approx0.02\%\\
P(B)=\dfrac{462}{480480}=\dfrac{1}{1040}\approx0.1\% [/tex]
Center c of the circle above has coordinates of (4, 3). what is the circumference of the circle?
The square root of the sum of a number and 7 is 8. find the number
An integer greater than 1 that is not prime is called composite. if the two-digit integer n is greater than 20, is n composite?
Two trains leave towns 1250 km apart at the same time and travel toward each other. one train travels 10 km/hr slower than the other. if they meet in 5 hours, what is the rate of each train?
If a single die is rolled twice there are how many possible outcomes
What does y=mx+b mean
A distribution reasonably well described by the normal curve has a mean of 60.00 with a standard deviation of 10.00 points. basing your prediction on the normal (z) curve, approximately what percent of the population would you predict will score within 10.00 points of the mean (between 50.00 and 70.00)?
Answer:
68%
Step-by-step explanation:
What is the value of y in the equation 2(3y + 6 + 3) = 196 − 16?
what are solutions to the equation sinx cosx = square root 3 over4
For each example below, determine whether a positive, negative, or no cause and effect relationship exists.
1) Smoking and cases of lung cancer.
2) Amount of time spent at school each day and number of text sent per day
3) The number of licks taken and the size of the Tootsie Pop
A positive relation between two things means that they are proportional to each other. One affects the other thing.
1) Smoking and cases of lung cancer. This is positive. As smoking affects lungs and can cause lung cancer. So, with increased smoking comes the increased risk of lung cancer thus increasing cases of lung cancer.
2) Amount of time spent at school each day and number of text sent per day - These two events are independent of each other. They are not based on each other. Hence, no relationship here.
A negative relation implies that if one thing increases, the other decreases.
3) The number of licks taken and the size of the Tootsie Pop. This is negative. As the number of licks increases, the size of the pop decreases.