The fraction of states with at least one four-star hotel is 7/10, 15 states do not have a four-star hotel, and the fraction of states without a four-star hotel is 3/10.
Answer to Student's Question
(a) To find the fraction of states with at least one four-star hotel, we divide the number of states with a four-star hotel by the total number of states. Therefore, the fraction is 35/50, which simplifies to 7/10.
(b) To determine how many states do not have a four-star hotel, we subtract the number of states with a four-star hotel from the total number of states: 50 - 35 = 15. So, there are 15 states without a four-star hotel.
(c) Finally, the fraction of states without a four-star hotel is the number of states without such hotels divided by the total number of states. This is 15/50, which can be simplified to 3/10.
If the ratio of soccer balls to footballs is 7:6 and the ratio of footballs to basketballs is 2:1, what is the ratio of soccer balls to basketballs?
You are planning a party to the local pizza arcade for your child's birthday. The cost of a birthday party is $8.95 per person, and you plan to have 12 people at the party.
if p is the midpoint of xy, xp=8x-2 and py=12x-30, find the value of x
To find the value of x, we can use the midpoint formula which is 16/9.
Explanation:To find the value of x, we can use the midpoint formula. According to the formula, the x-coordinate of the midpoint is the average of the x-coordinates of the two endpoints, and the same applies to the y-coordinate.
Given that XP = 8x - 2 and PY = 12x - 30, we can set up the equation:
(8x - 2 + 12x - 30) / 2 = x
Simplifying the equation, we get:
(20x - 32) / 2 = x
Multiplying both sides of the equation by 2 to eliminate the fraction, we get:
20x - 32 = 2x
20x - 2x = 32
18x = 32
x = 32/18
x = 16/9
Which graph below shows a system of equations with infinitely many solutions?
A)coordinate plane with two parallel lines
B)coordinate plane with two intersecting lines
C)coordinate plane with two coinciding lines
D)coordinate plane with two intersecting lines
Answer: C)coordinate plane with two coinciding lines has infinitely many solution.
Step-by-step explanation:
Since, By option A) If there is a coordinate plane with two parallel lines.
Then, It has no solution ( because, we get the solution at the the intersection point of the two lines but parallel lines do not intersect each other).So, it does not have infinite many solution.
By Option B) If there are two intersecting lines then we can get only one solution. So, it does not have infinite many solution.
By Option C) If there are two coinciding lines then we can get infinite number of intersection points therefore the system must have infinite number of solution.
Note: here, Option D) is same as Option B)
Therefore Only option C) is correct.
a square reflecting pool has an area of 183.84 square meters. What is the approximate perimeter of the reflecting pool?
The perimeter of a square reflecting pool with an area of 183.84 square meters is approximately 54.24 meters.
Explanation:The area of a square is calculated by squaring the length of one of its sides. So, to find the side length of the square reflecting pool, we need to take the square root of the area. The square root of 183.84 is approximately 13.56 meters.
Now considering that a square has four equal sides, the perimeter is calculated by multiplying the side length by 4. So, the perimeter of the pool is 13.56 multiplied by 4, which gives us approximately 54.24 meters. Therefore, the approximate perimeter of the reflecting pool is 54.24 meters.
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What is 8 21/40 I don't understand how to do it
Please help, will give brainliest.
If the area of a parallelogram is to remain constant, what change must take place in the base if the altitude is multiplied by three? (1a)____ by(1b) _____. If the altitude is divided by two? (2a)____ by(2b) _____.
1a) A. divide. B. Multiply. C. Addition.
1b) A.6 B.3
2a) A. Divide. B. Multiply
2b) A. 2 B. 6
Please help, will give brainliest.
Answer:
The answers are:
1a --> divide
1b --> 3
2a --> multiply
2b --> 2
By the way, I turned in my assignment and these are the answers on the answer key, so they are correct for sure! :)
Use the graph of the function y = (x + 3)(x − 2) to find the solutions of the quadratic equation 0 = (x + 3)(x − 2).
Answer:
-3 and 2 are the answer
Hope this helps!
What are the possible solutions to 33⋅3333⋅33, if 11⋅11=411⋅11=4 and 22⋅22=1622⋅22=16?
Since 11*11 = 4, therefore in this case 11 = 2. Since 22*22 = 16, therefore in this case 22 = 4. So we can see that the common ratio is 2. Based from this, we can say that 33 = 6.
So that:
33*33 = 36
A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely. Show your work. Sn: 1 ∙ 2 + 2 ∙ 3 + 3 ∙ 4 + . . . + n(n + 1) = [n(n + 1)(n + 2)]/3
Answer with explanation:
[tex]S_{n}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + n\times(n + 1) = \frac{n(n + 1)(n + 2)}{3}\\\\S_{k}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1) = \frac{k \times(k + 1)(k + 2)}{3}\\\\S_{k+1}= 1 \times 2 + 2 \times 3 + 3 \times 4 + . . . + k\times(k + 1)+(k+1) \times (k+2)=\frac{(k+1) \times(k +1+ 1)(k +1+ 2)}{3}\\\\=\frac{(k+1) \times(k +2)\times(k +3)}{3}[/tex]
The pair of points is on the graph of an inverse variation. Find the missing value. (2.4, 3) and (5, y) 1.44 6.25 0.69 1
Answer:
Hence, the value of y is:
1.44
Step-by-step explanation:
It is given that:
The pair of points is on the graph of an inverse variation.
(2.4, 3) and (5, y)
We have to find the missing value y in the point.
As we know that in the inverse variation the value of y is the inverse value of x by some k.
i.e. in first point (2.4,3) let 'k' be a number such that:
[tex]3=\dfrac{k}{2.4}\\\\k=7.2[/tex]
Hence, the inverse is k=7.2
Now in the second point (5,y) we find the value of y as:
[tex]y=\dfrac{7.2}{5}\\\\y=1.44[/tex]
Hence, the value of y is:
1.44
Given that (1,5) is on the graph of f(x), find the corresponding point for the function f(x-1)
There were 25 questions on the test you got a 74 percent what is the number of question you got correct
74% = 0.74
multiply 25 by 0.74
25*0.74 = 18.5
so you got 18 1/2 questions correct
The value that results from plugging in an x term.
In the figure below, if segment B E is the perpendicular bisector of segment A D, what is the value of x?
What's the unit rate for 4 shirts for $32:00
How to tell if a function is continuous or discontinuous?
Final answer:
A function is continuous at a point if it is defined at that point, the limit exists as it approaches the point, and the limit is equal to the function's value at that point. If these conditions are not met, the function is discontinuous. The first derivative must also be continuous unless given specific exceptions.
Explanation:
To determine if a function is continuous or discontinuous, you can apply several tests. A function y(x) is said to be continuous at a point if it meets three conditions:
The function must be defined at that point.The limit of the function as it approaches that point exists.The limit of the function as it approaches the point is equal to the function's value at that point.If any of these conditions fail, the function is discontinuous at that point. For example, a function with a hole, jump, or asymptote at a point would be discontinuous there. Also, if the first derivative of y(x) is not continuous, unless the potential function V(x) is infinite, this indicates a discontinuity. In continuous probability functions, such as probability density functions, discontinuities are not present, and the function's graph does not have breaks or holes. Instead, the entire graph is a single unbroken curve.
The Environmental Protection Agency (EPA) estimates that the average passenger vehicle emits about 5 1/2 (5.5) metric tons of CO2 each year. How much is this in pounds?
(A) about 12000 pounds
(B) about 120 pounds
(C) about 5500 pounds
Answer:
its A about 12,000 pounds.
Step-by-step explanation:
The first three terms of a geometric sequence are as follows. −4 , 20 , −100 find the next two terms of this sequence. give exact values (not decimal approximations).
Find the distance between the points t(13, 1.6)t(13, 1.6) and v(5.4, 3.7)v(5.4, 3.7).
7.88 units is the distance between points T(13, 1.6) and V(5.4, 3.7).
To find the distance between the points T(13, 1.6) and V(5.4, 3.7), we can use the distance formula:
Distance formula:
For two points [tex](x_1, y_1)[/tex]and [tex](x_2, y_2)[/tex], the distance between them is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}.[/tex]
Let's plug in the coordinates of points T and V:
Distance = [tex]\sqrt{(5.4 - 13)^2 + (3.7 - 1.6)^2}[/tex]
= [tex]\sqrt{(-7.6)^2 + (2.1)^2}[/tex]
= √(57.76 + 4.41)
= √62.17
= 7.88.
So, the distance between points T(13, 1.6) and V(5.4, 3.7) is approximately 7.88 units.
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Last year, a baseball team paid $20 per bat and $12 per glove, spending a total of $1040. This year, the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of eqipment as last year. How many bats and gloves did the team purchase each year?
The baseball team purchased 22 bats and 50 gloves last year.
Explanation:To solve this problem, let's use a system of equations. Let x represent the number of bats and y represent the number of gloves purchased last year. We can set up the following equations:
20x + 12y = 1040 (equation 1) 25x + 16y = 1350 (equation 2)
We can solve this system of equations by using either the substitution method or the elimination method. Let's use the elimination method:
Multiply equation 1 by 5 and equation 2 by 4 in order to create equal coefficients for x:100x + 60y = 5200 100x + 64y = 5400 Subtract the equations to eliminate x:(100x + 64y) - (100x + 60y) = 5400 - 5200 4y = 200 y = 50
Now we can substitute the value of y back into equation 1 to solve for x:
20x + 12(50) = 1040 20x + 600 = 1040 20x = 440 x = 22
Therefore, the team purchased 22 bats and 50 gloves last year.
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After you complete your survey of students reported heights at your school, you discover that your sample is biased. Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school. What conclusion can you reach about the mean of the average difference in your sample?
a.It is greater than the mean of the average difference of the population
b.It is less than the mean of the average difference of the population
c.It is exactly 10% greater than the mean of the average difference of the population
d.It is exactly 10% less than the mean of the average difference of the population
Answer:
a. It is greater than the mean of the average difference of the population
Step-by-step explanation:
Given is - Exactly 10% of the students in your sample tended to over report their height more than the average student in the general population at the school.
It is very certain that the sample is biased towards the higher spectrum.
We can say that the real value of the mean is lower than the original value of our sample population.
So, option A is correct.
Which point is on the interior of ∠BAC?
point D
point B
point C
point A
When talking about ∠BAC, points B and C are on the rays, and A is the vertex. Thus, only point D could be on the interior of the angle, assuming it falls within the area enclosed by these lines.
Explanation:In geometric terms, an angle is made up of two rays that share a common endpoint, known as the vertex. The interior of an angle is the area enclosed by the rays. When we talk about ∠BAC, points 'B' and 'C' are on the rays while 'A' is the vertex. Therefore, only point D could potentially be on the interior of ∠BAC, assuming it lies within the space enclosed by the lines extending from point 'A' to points 'B' and 'C'. Without further context or a diagram to confirm D's position, this is the best conjecture we can make based on the given information.
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The sum of 5 consecutive integers is 310 What is the third number in this sequence?
310/5 = 62
60 +61 +62 +63 +64 = 310
3rd number is 62
what is y=2-3x in standard form?
The given equation of the line is in slope-intercept form. To convert it to standard form, simply rearrange so that all terms are on one side of the equation resulting in 3x + y = 2.
Explanation:The equation you're given is y=2-3x which is in the slope-intercept form i.e., y = mx + b, where m is the slope and b is the y-intercept. To convert this equation to a standard form, the general approach is to eliminate fractions and have the 'y' and 'x' terms on the same side of the equation.
Starting from y = 2 - 3x, add 3x to both sides of the equation to get it in the standard form. So, it becomes 3x + y = 2, which is the standard form of the given equation.
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At work, Brett must check and record the internal temperature of the freezer on an hourly basis. When working properly, the temperature should remain constant over time. What word describes the slope of a line showing the temperature of the freezer as a function of time in hours when the freezer is working properly?
Erudite1 is right it will be zero
Which equation can be used to find the answer? an aquarium worker removed 78 fish from a tank. there were still 186 fish left in the tank. how many fish were in the tank before any were removed?
a. f ÷ 2 =78 f = 156 156 fish
b. f ÷ 2 =186 f = 372 372 fish
c. f – 78 = 186 f = 264 264 fish
d. f + 78 = 186 f = 108 108 fish?
Answer:
f/2=186 fish
186 x 2 = 372
372 fish left in the tank
Step-by-step explanation:
There is a 12% sales tax. The pre-tax cost of a mobile phone is $280. What is the tax payable on this mobile phone?
The tax payable on this mobile phone is $33.60.
Using this formula
Tax payable=Sales tax × Pre tax cost
Where:
Sales tax =12%
Pre tax cost=$280
Let plug in the formula
Tax payable=12%×$280
Tax payable=$33.60
Inconclusion the tax payable on this mobile phone is $33.60.
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A stack of four hundred twenty cards is placed next to a ruler, and the height of stack is measured to be 7/8 inches. How thick is one card?
7/8 divided by 420 = 7/8 x 1/420 by inverting
& multiplying
= 7/3360 by multiplying tops together & bottoms together
= 1/480 inch reducing fraction by dividing top & bottom
by 7
(and yes, I know that top is called numerator & bottom is
called denominator, otherwise known as upstairs & downstairs)
Could also work by cross-cancelling earlier, dividing 7 by 7
= 1 and dividing 420 by 7 = 60
leaving 1 x1 on the top & 8 x 60 on the bottom. Will get
same result as before, 1/480 inch.
Determine if the graph is symmetric about the x-axis, the y-axis, or the origin. r = 2 cos 5θ
Answer:
The graph is symmetric about the x-axis.
Step-by-step explanation:
1. Symmetry about the x-axis: If the point (r, θ ) lies on the graph, then the point (r, -θ ) or (-r, π - θ ) also lies on the graph.
2. Symmetry about the y-axis: If the point (r, θ ) lies on the graph, then the point (r, π - θ ) or (-r, -θ ) also lies on the graph.
3. Symmetry about the origin: If the point (r, θ ) lies on the graph, then the point (-r, θ ) or (r, π + θ ) also lies on the graph.
The given polar equation is
[tex]r=2\cos (5\theta)[/tex]
Check the equation by (r, -θ).
[tex]r=2\cos (-5\theta)=2\cos (5\theta)=r[/tex]
Therefore, the graph is symmetric about the x-axis.
Check the equation by (-r, -θ).
[tex]-r=2\cos (-5\theta)=2\cos (5\theta)=r\neq -r[/tex]
Therefore, the graph is not symmetric about the y-axis.
Check the equation by (-r, θ).
[tex]-r=2\cos (5\theta)=2\cos (5\theta)=r\neq -r[/tex]
Therefore, the graph is not symmetric about the origin.