⇒ 32% of the people who prefer French fries also prefer pizza
⇒ 60% of the people surveyed prefer burgers, and 40% prefer pizza.
To find out what percentage of people who prefer French fries also prefer pizza,
According to the given information.
60% of the people surveyed prefer burgers over pizza, and of those people, 48 prefer french fries over salad.
This means that 40% of the people surveyed prefer pizza over burgers.
Now, we have to find out what percentage of the people who prefer French fries also prefer pizza.
We know that 48 people prefer French fries over salad,
But we don't know how many of those people prefer burgers or pizza. However, we do know that all of the people surveyed fall into one of these categories:
They either prefer pizza or burgers.
Therefore,
Assume that the remaining 52% of the people surveyed prefer burgers over pizza.
To find the percentage of people who prefer French fries and pizza,
Use a proportion:
⇒ 48 / (40% of 75) = x / 100%
Solving for x, we get:
⇒ x = (48 / (40% of 75 ) x 100%
= 32%
Therefore,
32% of the people who prefer French fries also prefer pizza.
To find out what percentage of people prefer pizza,
We know that 40% of the people surveyed prefer pizza over burgers, and we know that 28 of the people who prefer pizza also prefer salad.
To find the percentage of people who prefer pizza,
Use a proportion:
⇒ (40% of 75) = y / 100%
Solving for y, we get:
⇒ y = (40% of 75) x 100% = 30
Therefore,
30 people prefer pizza.
To find the percentage of people who prefer pizza, we can use another proportion:
⇒ 30 = (100% - z) / 100% x 75
Solving for z, we get:
z = 60%
Therefore, 60% of the people surveyed prefer burgers, and 40% prefer pizza.
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A wet sock is stuck onto the inner wall of a washing machine drum as it rotates at a steady speed the graph shows the sock displacement y, in inches, from the center of the drum, for a given number of seconds, X what is the diameter of the washing machine drum?
The diameter of the washing machine which is equivalent to the wavelength using the graph above would be = 2.5in.
How to determine the diameter of the washing machine's drum?To calculate the diameter of the washing machine drum, the formula that should be used is given below as follows;
V = fλ
where
V = displacement/time
F = 1/T
But;
Displacement = 10 in
Time = 2 seconds
V = 10/2 = 5 in/s
F = 1/2 = 0.5
λ = 5/0.5 = 2.5in
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The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 25,835 miles, with a variance of 18,207,290.
What is the probability that the sample mean would differ from the population mean by less than 104 miles in a sample of 89 tires if the manager is correct? Round your answer to four decimal places.
A pair of shoes originally priced at $39 is discounted 15% What is the sale price?
39 * (1-15/100) = 39*0.85 = 33.15 (dollars)
Consider the system of equations shown.
{y=x+11
−y=−x+11
What is the solution to this system of equations?
Responses
A.(0,11)
B.( 0 , 11 )
C.no solution
D.infinitely many solutions
Answer:
C. no solution
Step-by-step explanation:
You want to know the solution to the system of equations ...
y = x + 11-y = -x + 11Comparing equationsEquations are best examined for the possible number of solutions when they are written in the same form. Here, we can put both equations into slope-intercept (y=) form by multiplying the second equation by -1.
-y = -x + 11 . . . . . . . .second equation
y = x - 11 . . . . . . . . equivalent equation; multiplied by -1
Now, you see that these slope-intercept equations have the same slope (x-coefficient = 1), but different intercepts (11, -11).
y = x + 11y = x - 11 . . . . . rewritten 2nd equationParallel linesLines with the same slope and different intercepts are parallel lines. They never meet, so never have any points in common. There are no values of x and y that satisfy both equations at the same time.
There are no solutions.
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What are the exact solutions of x2 − 3x − 5 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a? Group of answer choices x = the quantity of 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 29 all over 2 x = the quantity of negative 3 plus or minus the square root of 11 all over 2 x = the quantity of 3 plus or minus the square root of 11 all over 2
The exact solutions of the Quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2 ,x = (3 - √29) / 2. The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
The exact solutions of the quadratic equation x^2 - 3x - 5 = 0 using the quadratic formula, we can identify the values of a, b, and c, and substitute them into the formula:
a = 1
b = -3
c = -5
Now, we can apply the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
Substituting the values into the formula:
x = (-(−3) ± √((−3)^2 - 4(1)(−5))) / (2(1))
x = (3 ± √(9 + 20)) / 2
x = (3 ± √29) / 2
Therefore, the exact solutions of the quadratic equation x^2 - 3x - 5 = 0 are:
x = (3 + √29) / 2
x = (3 - √29) / 2
The correct answer choice is:
x = the quantity of 3 plus or minus the square root of 29 all over 2.
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Identify the vertex of the graph. Tell whether it is a minimum or a maximum.
The vertex of the graph is (0,-2); minimum value.
Given that;
The graph of the quadratic function.
Now, We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.
Vertex:
The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.
Hence, from the figure, the parabola turns at the point (- 1, 1) to form a U - shaped graph.
Therefore, the vertex of the graph is (- 1, 1)
Minimum or maximum value:
When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.
Thus, the graph has a minimum value.
Hence, the vertex of the graph is (0,-2); minimum value.
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There are 24 members in a sports club. Use the Venn diagram below to
work out how many people in the club own both a bike and a surfboard.
Bike
21-y
y
Surfboard
15-y
3
The number of members of the club that own both bike and surfboard are 11.
Venn diagram:-
A Venn diagram uses overlapping circles or other shapes to illustrate the logical relationships between two or more sets of items. Often, they serve to graphically organize things, highlighting how the items are similar and different.
In the Venn diagram, (23-y) is the number of members that have bike only,( 11-y) is the number of members that have surfboard only and y is the number of both surfboard and bike. 3 members have none of bike and surboard.
therefore
26-3= 23-y+y+11-y
23= 23+11-2y+y
23= 34-y
collect like terms
y= 34-23
y= 11
Therefore the number of members that have both bike and surfboard are 11.
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3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
what's the answer to my problem
Step-by-step explanation:
5x and 120 are equal because they are vertical angles of two crossing lines
5x = 120
x = 24
The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?
The number of cards left to be signed is 32 cards.
To determine the number of cards left to be signed, we need to calculate the number of cards signed by each person and subtract it from the total number of cards.First, Emily signed 2/5 of the cards, which is equal to (2/5) * 75 = 30 cards.
Next, we need to find the number of cards remaining after Emily signed. To do this, we subtract the cards Emily signed from the total number of cards:
75 - 30 = 45 cards.
Now, Josh signs 1/9 of the remaining cards, which is equal to (1/9) * 45 = 5 cards.
After Josh signs his portion, we need to find the number of cards still remaining. We subtract the cards Josh signed from the previous remaining cards:
45 - 5 = 40 cards.
Finally, Tatiana signs 20% of what Josh had left, which is equal to 20/100 * 40 = 8 cards.
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x5 / x
X to the power of five divided by x
Answer:
x^5 / x = x^(5-1) = x^4
So the answer is x^4.
Step-by-step explanation:
The area of a parallelogram
Please help ASAP
Compare -2.3 and -8/3 using symbols <, >, or =
Answer:
to compare -2.3 and -8/3, we need to put them in the same form. We can convert -8/3 to a decimal by dividing -8 by 3, which gives us -2.66667.
Now we can see that -2.3 is greater than -2.66667, so we can write -2.3 > -8/3.
Step-by-step explanation:
Don't worry I can help.
Mathmetics isn't easy. so study
which expression is equivalent to ln(e2x/x^3)
2x/3lnx
2x-2
(In(e^2x-x³)
2x-3lnx
Answer:
2x-2
Step-by-step explanation:
ln(e2x/x³)
as ln ex = x
thus, ln(e2x/x³) = 2x / x³
= 2x1-3 = 2x-2
omplete the paragraph proof.
Given: and are right angles
Line segment A B is-congruent-to line segment B C Line segment B C is-congruent-to line segment A C
Prove: Line A R bisects Angle B A C
Triangles A B R and R C A share side R A. A line is drawn from point B to point C and intersects side A R at point P.
It is given that and are right angles, and . Since they contain right angles, ΔABR and ΔACR are right triangles. The right triangles share hypotenuse , and reflexive property justifies that . Since and , the transitive property justifies . Now, the hypotenuse and leg of right ΔABR is congruent to the hypotenuse and the leg of right ΔACR, so by the HL congruence postulate. Therefore, ________ by CPCTC, and bisects by the definition of bisector.
The BR is the perpendicular bisector of AC by CPCTC (corresponding parts of congruent triangles are congruent).
Based on the given information that angles ABR and ACR are right angles, and AB = AC, we can conclude that triangles ABR and ACR are right triangles.
Using the shared hypotenuse AR and the reflexive property, we can determine that side AB is congruent to side AC.
With this information, the transitive property allows us to conclude that angle BAR is congruent to angle CAR. Next, using the HL congruence postulate, we can prove that triangle ABR is congruent to triangle ACR.
This means that side BR is congruent to side CR, and angle BAC is bisected by line segment BR by the definition of bisector.
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The pole forms a 50° angle with the ground. How many feet, to the nearest tenth of a foot, is the base of the pole from the house?
O 6.0 feet
O 7.7 feet
O 8.5 feet
- 9.2 feet
To the nearest tenth of a foot, the base of the pole is approximately 9.2 feet from the house, corresponding to option 9.2 feet.
To find the distance from the base of the pole to the house, we can use the trigonometric function sine (sin). Since we know the angle between the pole and the ground is 50 degrees, we can use the formula:
sin(∠) = opposite/hypotenuse
In this case, the opposite side is the distance we are trying to find (base of the pole from the house) and the hypotenuse is the length of the pole, which is given as 12 feet.
sin(50°) = opposite/12
We can rearrange the equation to solve for the opposite side:
opposite = 12 * sin(50°)Using a calculator to evaluate the sine of 50 degrees, we find:
opposite ≈ 9.162 feet
Among the given options, the measurement closest to the value of the opposite side is 9.2 feet. Option 9.2 feet is the closest value.
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Which of these values for P and a will cause the function f(x)-Pa* to be an
exponential growth function?
A. P= 4; a = 1
B. P = ¹; a=
a=¹
D. P=1;a= 5
C. P = 4; a
The values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:
C. P = 4; a = 5
D. P = 1; a = 4
How to find the values for P and a will cause the function f(x)-Pa* to be an exponential growth functionAn exponential growth function is characterized by the property that the base (a) of the exponential term is greater than 1 (a > 1). This is because the exponentiation of a number greater than 1 by increasing values of x leads to exponential growth.
Therefore, the values for P and a that will cause the function f(x) = Pa^x to be an exponential growth function are:
C. P = 4; a = 5
D. P = 1; a = 4
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Please help I am so so confused thank you all
y-(-9) = -6(x-(-4)), y = -6x-33
50 Points! Multiple choice geometry question. Photo attached. Thank you!
Answer:
D
Step-by-step explanation:
The formula of a cube is s*s*s
We know the side length of the first cube is 3, so the volume is 27. We know the side length of the second cube is 7, so the volume is 343.
Melissa and Joey enjoyed dinner at a restaurant. They paid the waiter $100.50 plus a 20% tip. How much did each person pay if they split the total bill in half?
well, let's first find out how much is the bill plus tip.
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 100.50}}{\left( \cfrac{20}{100} \right)100.50}\implies 20.10~\hfill~\stackrel{ 100.50~~ + ~~20.10 }{\text{\LARGE 120.60}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{120.60}{\underset{\textit{divided by 2}}{2}}\implies \text{\LARGE 60.30} ~~ \textit{each person}[/tex]
Help me with this x^2 + 4x - 21
The pair of factors to factor the expression are 7 and -3
How to determine the pair of factors to factor the expressionFrom the question, we have the following parameters that can be used in our computation:
x² + 4x - 21
To determine the pair of factors to factor the expression, we find two expressions
That must add up to 4xThat must mutiply to -21x²using the above as a guide, we have the following:
The expressions are 7x and -3x
So, we have
x² + 4x - 21 = x² + 7x - 3x - 21
When factored, we have
x² + 4x - 21 = (x + 7)(x - 3)
Hence, the pair of factors to factor the expression are 7 and -3
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F. Use the information below to find the mass of boxes 1, 2, 3, and 4.
The mass of box 1 is three times the mass of box 3.
The mass of box 5 is one-fourth the mass of box 4.
The mass of box 4 is two-thirds the mass of box 2.
The mass of box 2 is four-fifths the mass of box 1.
·
box 1
box 2
box 3
box 4
box 5
2 kilograms
Make sure your formatting is clear and easy to understand. Remember, it’s all about helping others understand the answer.
nation:
A spaceship is ominously circling Timmy's house at a distance of 200 meters. If the spaceship takes 5 seconds to travel a 90° arc around the house, how fast is it traveling?
The speed of the spaceship is 62.8 meters per second.
How fast is it traveling?We can define speed as the quotient between distance and time.
Remember that the length of an arc of an angle x, in a circle of radius R is:
L = (x/360°)*2*π*R²
Where π = 3.14
Here we know that the time is 5 seconds, and the distance is the lengt of an arc of 90° in a circle of 200 meters, the length of that arc is:
L = (90°/360°)*2*3.14*200m = 314 meters.
Then the speed of the spaceship is given by:
S = 314m/5s = 62.8 meters per second.
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Please help me out here!!!!
Answer:
59.3 °
Step-by-step explanation:
its trigonometry
so you have the
opposite side= 43.5
and the adjacent side = 24.8
if you use SOH CAH TOA you will find that to find y you need to use TOA as tou have the opposite and adjacent.
to find the angle (tan) you need to do tue opposite / adjacent
tan^-1 (43.5/25.8)
= 59.3 to 1 d.p.
you need to use tan^-1 as you are finding the missing angle
Raymond and Beth, both teachers, are adding books to their class libraries. Raymond's classroom started out with a collection of only 10 books, but he plans to purchase an additional 2 books per week. Beth's library started out with 30 books, and she has enough money in her budget to purchase another 1 book per week. At some point, the two teachers' libraries will contain the same number of books. How many weeks will that take?
It will take 20 weeks for Raymond and Beth's libraries to have the same number of books.
To determine the number of weeks it will take for Raymond and Beth's libraries to contain the same number of books, we need to set up an equation based on their book acquisition rates.
Let's assume the number of weeks it takes for their libraries to have the same number of books is 'x'. Raymond starts with 10 books and adds 2 books per week, so his total number of books after 'x' weeks is 10 + 2x. Similarly, Beth starts with 30 books and adds 1 book per week, resulting in a total of 30 + x books after 'x' weeks.
Since we want their libraries to contain the same number of books, we can set up the equation: 10 + 2x = 30 + x.
Simplifying the equation, we subtract 'x' from both sides: x = 30 - 10.
Therefore, x = 20.
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Based on the given diagram, complete the sentence below.
The point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.
Given is a triangle ABC and there are angle bisectors AD, BD and CD which are meeting at point D, we need to identify the name of the point D,
So,
The incenter of a triangle is the point where the three angle bisectors of the triangle intersect.
It is the center of the incircle, which is the largest circle that can be inscribed inside the triangle.
The incenter is equidistant from all three sides of the triangle.
Hence the point D is called Incenter of ΔABC, because AD, BD and CD are the angle bisector.
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if the function is f(x) = 332(0.95)^t what is the the Initial Value and Rate of Change as a Percent
The initial Value of the function is 332.The rate of change of the function is -5%.
In the given function f(x) = 332(0.95)^t, where t represents time, we can determine the initial value and the rate of change as a percent.
1. Initial Value:
The initial value refers to the value of the function when the independent variable (t) is equal to zero. In this case, when t = 0, the function becomes:
f(0) = 332(0.95)^0
f(0) = 332(1)
f(0) = 332
Therefore, the initial value of the function is 332.
2. Rate of Change as a Percent:
The rate of change represents how the function changes over time. In this case, the function is an exponential decay function because the base (0.95) is less than 1.
To determine the rate of change as a percent, we can look at the exponent of the base (0.95). In the given function, the exponent is represented by the variable t. The base (0.95) is multiplied by itself t times.
The rate of change is calculated by subtracting 1 from the base and multiplying by 100% to express it as a percentage. In this case:
Rate of Change = (0.95 - 1) * 100%
Rate of Change = (-0.05) * 100%
Rate of Change = -5%
Therefore, the rate of change of the function is -5% (exponential decay).
- The initial value of the function is 332.
- The rate of change of the function is -5% (exponential decay).
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer: I'm sure its A.=60 B=15 and C=i dont really know sorry
Step-by-step explanation:A - 6x10 B - 5x3 C - ?
PLEASE GIVE BRAINLIEST <33
Answers:
1: 245.04
A=2πrh+2πr2=2·π·3·10+2·π·32≈245.04423
2: 150.8
Formula: 2r² + 2rh
2 x 3 x 3 + 2 + 3 x 5 = 150.796447372
Rounded: 150.8
3: 892
Sides(Front & Back) #1: 17 x 4 x 2 = 136
Sides(Side) #2: 18 x 4 x 2 = 144
Bases(Bottom & Top): 17 x 18 x 2 = 612
PLEASE HELP ON QUESTION ASAP !
Hi please help on question.If you get answer correct is be willing to give brainliest,a thanks, five stars and 10pts.
My question:
As an analogy of a circuit with resistance, think of an obstacle race . Which parts of a circuit do the obstacles represent? which part of the circuit do the people respresent?
The electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
In the analogy of a circuit with resistance, we can compare it to an obstacle race. Here's how we can relate the different elements:
Circuit: The entire obstacle race course represents the circuit itself. It includes all the components and paths that the participants will go through.
Obstacles: The obstacles in the race represent the resistors in the circuit. Just like resistors impede the flow of electrical current in a circuit, obstacles in the race impede the progress of the participants.
People/Participants: The people participating in the race represent the flow of electric current in the circuit. They are the "charge" moving through the circuit, encountering and overcoming obstacles (resistors) to reach the finish line.
The goal of the participants (people) is to navigate through the obstacles (resistors) and complete the race (circuit) by reaching the finish line.
Similarly, in an electrical circuit, the goal is for the electric current to flow through the resistors and complete the circuit by reaching its intended destination or powering a device.
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What is the probability of rolling the number 3 or more when a die is thrown
The probability of rolling the number 3 or more when a die is thrown is 2/3.
The sample space of rolling dice = {1, 2, 3, 4, 5, 6}.
We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.
Probability of getting the number 3 = 1/6
Probability of getting the number more than 3 = 3/6
So, probability of getting event = 1/6 + 3/ 6
= 4/6
= 2/3
Therefore, the probability of rolling the number 3 or more when a die is thrown is 2/3.
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