Answer:
Area of rectangular field = 12750 square yards
Width = 150 feet
<< Find the length of the field in yards. >>
Your conversion factor: 3 feet = 1 yard
Width = 150 feet = 150/3 = 50 yards
Therefore,
Area = 12750 = L(50)
where
L = length of field = 12750/50
L = 255 yards
<< What is the length of the field in feet? >>
L = 255 yards * 3 feet/yard
L = 765 feet
< .What is the area of the field in square feet? >>
Since there are 3 feet in 1 yard, then there are 9 sq ft in 1 sq yard. Therefore,12750 sq yards * 9 sq feet/sq yd = 114,750 sq feet
Step-by-step explanation:
Corrupted by their power, the judges running the popular game show America’s Next Top Mathematician have been taking bribes from many of the contestants. During each of two episodes, a given contestant is either allowed to stay on the show or is kicked off. If the contestant has been bribing the judges, she will be allowed to stay with probability 1. If the contestant has not been bribing the judges, she will be allowed to stay with probability 1/3, independent of what happens in earlier episodes. Suppose that 1/4 of the contestants have been bribing the judges. The same contestants bribe the judges in both rounds. (a) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she was bribing the judges? (b) If you pick a random contestant, what is the probability that she is allowed to stay during both episodes? (c) If you pick a random contestant who was allowed to stay during the first episode, what is the probability that she ge
Answer:
(a) The probability that a contestant allowed to stay in the first episode is 0.5
(b) The probability that a contestant will be allowed to stay during both is 0.25
Step-by-step explanation:
The given parameters are;
The probability that a contestant who has been bribing the judges will be allowed to stay = 1
The probability that a contestant who has mot been bribing the judges will be allowed to stay = 1/3
The proportion of the contestant that has been bribing the judges = 1/4
The contestant who bribe the judges in the first round = The contestants who bribe the judges in the second round
(a) Let the total number of contestants = x
Therefore;
The number of contestants in the second round = x/4 + 1/3×(x - x/4) = x/2
Which gives that, half of the contestants make it to the second round
The probability that a contestant allowed to stay in the first episode, Pₐ₁, is given as follows;
Probability = (The number of required outcome)/(The number of possible outcome)
∴ Pₐ₁ = (x/4)/(x/2) = 2/4 = 1/2 = 0.5
The probability that a contestant allowed to stay in the first episode = 0.5
(b) The probability that a contestant will be allowed to stay during both episode, Pₐ₁₂ is given as follows;
The number of contestant that will be allowed to stay after each episode = 1/2×(The number contestant in the previous episode)
Therefore;
The number of contestant that will be allowed to stay after the first episode = 1/2 × x = x/2
The number of contestant that will be allowed to stay after the second episode = 1/2 × x/2 = x/4
Therefore, the number of contestant that will be allowed to stay after both episode = x/4
Pₐ₁₂ = (The number of contestant that will be allowed to stay after both episode)/(The total number of contestants)
∴ Pₐ₁₂ = (x/4)/x = 1/4 = 0.25
The probability that a contestant will be allowed to stay during both = 0.25.
The holcombe family went out to dinner the meal cost 54.65 the sales tax is 8 peecent the tip was 18 percent of the meal and tax there are 5 people in the holcomebe family what was the cost per person for the meal including sales tax and tip
Answer:
13.93
Step-by-step explanation:
Meal = 54.65
Sales tax = 8%
= 8/100 * 54.65 + 54.65
= 0.08 * 54.65 + 54.65
= 4.372 + 54.65
= 59.022
Tip = 18% of the meal and tax
= 18/100 * 59.022 + 59.022
= 0.18 * 59.022 + 59.022
= 10.62396 + 59.022
= 69.64596
Total people in the holcomebe family = 5
Cost of meal per person =
69.64596 / 5
= 13.929192
Approximately 13.93
Ms. Wong spent $9.20 to buy a total of 18 pens and pencils. A pen costs $0.80 and a pencil costs $0.40. How many pens did Ms. Wong buy?
pens 8 it should be right
What is the difference between naming a segment and writing its distance?
Answer:
Explained below
Step-by-step explanation:
In naming a segment, we are essentially naming a line that has definite starting and endpoints. For example if the starting point of the segment is A and the endpoint is B, we can name it "segment AB".
In another example, a segment can be named with a single letter. For example the point from A to B can be referred to as "segment y" if AB is part of maybe a square.
Whereas, in writing a distance, we are essentially writing the measurement of length between the two endpoints. For example if the distance between AB is 20 metres, we can write distance between AB = 20 metres
Tammy made a 6-ounce milkshake. Two-thirds of the milkshake was ice cream. How many ounces of ice cream did
Tammy use in the shake?
Answer: 4 ounces
Step-by-step explanation:
6 * (2/3) = 12/3 = 4 ounces
Write a fraction whose equivalent decimal number is a terminating decimal. Write the equivalent decimal.
a. 1/4
b. 0.25
think long division
4 goes into 1 zero times
4 goes into 10 2 times with 2 left over.
bring down a zero
4 goes into 20 5 times
since a decimal was needed to show the quotient being less than 1, the quotient is 0.25
ya welcome bess frein
Answer:
Step-by-step explanation:
a. 1/4
b. 0.25
can someone help me with 1-5 please because i’m really struggling
9514 1404 393
Answer:
angle SVR = 30°angle PVR = 90°angle SVQ = 60°angle SVP = 120°angle RVQ = 30°Step-by-step explanation:
As with finding distances on a number line, the easiest way is to subtract the smaller coordinate from the larger. Here, the "number line" is the arc at the edge of the protractor. The corresponding coordinates are ...
S: 40°
R: 70°
Q: 100°
P: 160°
The measure of an angle with its vertex at V will be the difference between the "coordinates" of the endpoints of the arc it intercepts. That is ...
m∠SVR = "R" - "S" = 70° -40° = 30°
The other angles are found the same way:
m∠PVR = 160° -70° = 90°
m∠SVQ = 100° -40° = 60°
m∠SVP = 160° -40° = 120°
m∠RVQ = 100° -70° = 30°
What is the image point of (9,4) after a translation left 5 units and up 1 unit?
Answer:
(4,5)
Step-by-step explanation:
2.7.4 practice on Apex in GEOMETRY
REALLY CONFUSED!
The 2.7.4 practice on Apex in geometry focuses on the Pythagorean theorem and its applications. Students are assessed on their ability to apply the theorem to solve problems involving distances, heights, and lengths in right triangles.
The concept of 2.7.4 practice on Apex in geometry is a crucial topic that students must understand to excel in the subject. Geometry is the study of shapes, sizes, positions, and angles of objects and figures in space. The 2.7.4 practice on Apex in geometry mainly focuses on the Pythagorean theorem and its applications.
The Pythagorean theorem is a mathematical formula that is used to calculate the length of a right triangle's hypotenuse. It states that the square of the hypotenuse is equal to the sum of the squares of the other two sides.
The Pythagorean theorem is one of the most fundamental concepts in geometry, and it is essential to understand how to apply it in problem-solving. The 2.7.4 practice on Apex in geometry provides students with an opportunity to test their understanding of the Pythagorean theorem.
Students are expected to apply this theorem to solve problems related to distance, height, and length. The practice tests are designed to assess students' ability to use the Pythagorean theorem to calculate the length of the hypotenuse in a right triangle.
For more questions on Pythagorean theorem
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What is it called when regression methods are used for prediction outside the
sampled range of xvalues?
Outliers
Estimation
Interpolation
Extrapolation
38.03 - 2.678
Brainliest!
Answer: 35.352
Step-by-step explanation: Have a blessed day!
Answer:
35.352
Step-by-step explanation:
Do you realize that this is why they invented calculators?
THIS IS THE 2ND TIME I SAY THIS PLZ HELP ME ASAP!!!!!!!!! THIS IS CONFUSING
Answer:
15
Step-by-step explanation:
i had this on a test
Sabendo que as retas “a”, “b” e “c” são paralelas, calcule o valor de y
a)20 m
b)21 m
c)23m
d)24m
5.125
Express that as a common fraction
please
Answer:
41/8
Step-by-step explanation:
is the number 5 in the expression of constant
the cost of 4 pounds of grapes is $24.36.wgat is the constant of proportionality
A.6.09
B.20.36
C.8.12
D.28.36
if y= 6 when x= 24, find the value of x when y= 7
Answer:
x=28
Step-by-step explanation:
the y to x ratio is 1:4 or in other words all you need to do is multiply the y by 4 to get your new x value
-Hope this helps
Answer:
x=28 Hope this helps
How much would a 185 pound man weigh on the moon
Answer:
W(e) = 6.02(50) = 301 lbs
Step-by-step explanation:
BRAINLYEST AND 20 POINTS
For the given situation: Derek has $20 to spend on used books. Hardcover books cost $5 each and paperbacks cost $2 each. What equation in standard form determines the number x of hardcover books and the number y of paperback books he can buy? Select all the pairs that represent combinations of books that Derek can buy. Group of answer choices (2, 5) (0,10) (−2, 15) (3, 5/2) (1, 2/5)
Answer:
(0,10)
Step-by-step explanation:
All of the other answers dont make sense or are false so it makes (0,10) the only correct answer.
The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible thus options (A) and (B) is correct.
How to form an equation?Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.
As per the given,
Hardcover books cost $5 each and paperbacks cost $2 each.
The number of hardcover books is x while paperbacks are y
Thus,
Total cost = 5x + 2y
5x + 2y ≤ 20
The x and y is the whole number so they will never be negative or in fractions.
Therefore, The pair which satisfies the above expression is (2,5) and (0,10).
Hence "The equation represents the situation is 5x + 2y ≤ 20 so pair (2,5) and (0,10) is possible".
For more about the equation,
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Which is the graph of arctan(x)?
On a coordinate plane, a function approaches x = negative StartFraction pi Over 2 EndFraction, has an inflection point at (0, 0), and approaches x = StartFraction pi Over 2 EndFraction. The function repeats at increments of pi on the x-axis.
On a coordinate plane, a function approaches y = negative StartFraction pi Over 2 EndFraction, has an inflection point at (0, 0), and approaches StartFraction pi Over 2 EndFraction.
On a coordinate plane, a function approaches the y-axis in quadrant 1, has an inflection point at (StartFraction pi Over 2 EndFraction, 0), and approaches x = pi. The function repeats at increments pi on the x-axis.
On a coordinate plane, a function approaches y = pi, has an inflection point at (0, StartFraction pi Over 2 EndFraction), and approaches the x-axis in quadrant 1.
Please see attached below:
Answer:
First graph (see below)
Step-by-step explanation:
The graph of the arctan(x) is the first graph attached, see below. This is because if you were to plug in the equation in any TI calculator, you would get this graph.
multiply to -40 add to -18
Answer:
[tex]multiply \\: to \: \\ -40 \: add \: to \: -18 \: = \: - 40x + ( - 18)[/tex]
What is the sum of 23 and 40
Answer:
63
Step-by-step explanation:
Answer:
i believe the answer is 63
enter the area of the triangle in square units rounded to the nearest 10th
PLS PLS PLS HELP
Answer:
[tex]22cm {}^{2} [/tex]
Step-by-step explanation:
[tex]the \: area \: = \: \frac{1}{2} \times (bh) = \frac{1}{2} (4 \times 11) \\ = \frac{1}{2} (44) = 22 {cm}^{2} [/tex]
Tiffany wants to calculate the volume of her globe. The globe is in the shape of a sphere. She measured the circumference of the globe along the equator to be 24 inches. What is the volume of the globe? Round your answer to the nearest whole number.
Answer:
231in^3Step-by-step explanation:
We know that the volume of a sphere/globe is given as
V=4 /3πr^3
but the circumference is expressed as
C=2πr
solving for r given that C=24
24=2*3.142r
24=6.284r
r=24/6.284
r=3.8in
put r=3.6 in the expression for volume we have
V=4 /3π(3.8)^3
V=4 /3π(55
V=(220.59*3.142)/3
V=693.12/3
V=231in^3
The volume of the globe is 231in^3
The volume of the globe is 233 cubic inches.
Important information:
Circumference of the globe along the equator to be 24 inches.We need to find the volume of the globe.
Volume of sphere:Let [tex]r[/tex] be the radius of the globe.
Circumference of the globe along the equator is:
[tex]C=2\pi r[/tex]
[tex]24=2\pi r[/tex]
[tex]\dfrac{24}{2\pi }=r[/tex]
[tex]\dfrac{12}{\pi}=r[/tex]
Volume of the globe is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{12}{\pi}\right)^3[/tex]
[tex]V=\dfrac{4}{3}\pi \left(\dfrac{1728}{\pi^3}\right)[/tex]
[tex]V=233.444...[/tex]
[tex]V\approx 233[/tex]
Therefore, the volume of the globe is 233 cubic inches.
Find out more about 'Volume of sphere' here:
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Josue knows that his aunt earns more money. than his uncle. He asked how much his aunt earns each month and was told, "$600 less than twice what your uncle earsn." If his aunt earns $4,200 per month, how much money does his uncle earn each month?
Answer:
Uncle's earnings is $2400
Step-by-step explanation:
Represent his uncle's earnings with x
$600 less than twice what your uncle earns is represented as:
[tex]2x - 600[/tex]
Since, his aunt's earnings is $4200.
We have:
[tex]2x - 600 = 4200[/tex]
Add 600 to both sides
[tex]2x - 600 + 600= 4200 + 600[/tex]
[tex]2x = 4800[/tex]
Solve for x
[tex]x = 4800/2[/tex]
[tex]x = 2400[/tex]
Hence, His uncle's earnings is $2400
Whos better
Rod wave or polo G
And whats 12x12
Answer:
rod wave and 144 for sure
Step-by-step explanation:
rod wave is fat which means he is better
Answer:
12x12 is 144
Step-by-step explanatio
what is 9x + 20y = −18
Please help ASAP!! Thanks
Answer:1.5
Step-by-step explanation:
what is the percent of 74 is 37
Answer:
50% take 37/74 ×100 to get the answer
The correct answer is 50.trust me it is
(3a²+9a+6)-(7a+2) what is the answer
Answer:
I think the answer is 5a^2+8
Step-by-step explanation:
[tex]12a^{2} + 6 - 7a + 2 \\ 5a^{2} + 6 + 2 \\ 5a^{2} + 8[/tex]