Please help! What is the probability a customer ordered a small, given that he or she ordered a hot drink? answer has to be rounded to the nearest percentage. Please look at this photo
Answers
Probability is 7%
Explanation:Number of customers that ordered a small and hot drink = 5
Number of customers to that orderd hot drink = 5 + 48 + 22
Number of customers to that ordered hot drink = 75
Probability a customer ordered a small, given that he or she ordered a hot drink = Number of customers that ordered a small and hot drink/Number of customers to that ordered hot drink × 100
\(\begin{gathered} \text{Proability =}\frac{5}{75}\times\text{ 100} \\ \end{gathered}\)\(\begin{gathered} \text{Probabiltiy = }\frac{1}{15}\times100\text{ = 0.067 }\times100 \\ Probability=\text{ 6.7\%} \\ To\text{ the nearest percentage = 7\%} \end{gathered}\)Related Questions
Use the function f(x) to answer the questions:
f(x) = 2x2 − 5x + 3
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
The x-intercepts of the graph of f(x) are x = 3/2 and x = 1,the Vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point, The vertex is at (5/4, 3/8). This is the minimum point of the graph.
Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x.
2x^2 - 5x + 3 = 0
To factor this quadratic equation, we look for two numbers that multiply to give 3 (the coefficient of the constant term) and add up to -5 (the coefficient of the linear term). These numbers are -3 and -1.
2x^2 - 3x - 2x + 3 = 0
x(2x - 3) - 1(2x - 3) = 0
(2x - 3)(x - 1) = 0
Setting each factor equal to zero, we get:
2x - 3 = 0 --> x = 3/2
x - 1 = 0 --> x = 1
Therefore, the x-intercepts of the graph of f(x) are x = 3/2 and x = 1.
Part B: To determine whether the vertex of the graph of f(x) is a maximum or a minimum, we look at the coefficient of the x^2 term, which is positive (2 in this case). A positive coefficient indicates that the parabola opens upwards, so the vertex will be a minimum.
To find the coordinates of the vertex, we can use the formula x = -b/2a. In the equation f(x) = 2x^2 - 5x + 3, the coefficient of the x term is -5, and the coefficient of the x^2 term is 2.
x = -(-5) / (2*2) = 5/4
Substituting this value of x back into the equation, we can find the y-coordinate:
f(5/4) = 2(5/4)^2 - 5(5/4) + 3 = 25/8 - 25/4 + 3 = 3/8
Therefore, the vertex of the graph of f(x) is (5/4, 3/8), and it is a minimum point.
Part C: To graph f(x), we can use the information obtained in Part A and Part B.
- The x-intercepts are x = 3/2 and x = 1. These are the points where the graph intersects the x-axis.
- The vertex is at (5/4, 3/8). This is the minimum point of the graph.
We can plot these points on a coordinate plane and draw a smooth curve passing through the x-intercepts and the vertex. Since the coefficient of the x^2 term is positive, the parabola opens upwards, and the graph will be concave up.
Additionally, we can consider the symmetry of the graph. Since the coefficient of the linear term is -5, the line of symmetry is given by x = -(-5) / (2*2) = 5/4, which is the x-coordinate of the vertex. The graph will be symmetric with respect to this line.
By connecting the plotted points and sketching the curve smoothly, we can accurately graph the function f(x).
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how do I solve this? Its asking for the measure of CAB if ABC=32
Answers
The triangle is an isoceles triangle because sides AB and AC measure the same lenght, the radius of the circle.
Therefore, angles ABC and BCA are equal and measure 32 degrees
The three ineer angles of a triangle add 180 degrees, so we can write:
angle ABC + angle BCA + angle CAB = 180
32 + 32 + angle CAB = 180
angle CAB = 180 - 32 - 32 = 116
Answer:
Angle CAB = 116 degrees
Which word describes the slope of the line?
O positive
O negative
zero
O undefined
Answers
The slope of a horizontal line is always zero.
What is slope?
The slope of a line is a measure of how steep the line is. It represents the rate at which the y-coordinate of the line changes with respect to the x-coordinate. Symbolically, it is represented by the letter m, and can be calculated using the following formula:
m = (y₂ - y₁) / (x₂ - x₁)
where (x₁, y₁) and (x₂, y₂) are any two points on the line.
The slope of a horizontal line is always zero. This is because a horizontal line has the same y-coordinate at every point, and therefore, there is no change in the y-coordinate for any change in the x-coordinate.
By definition, the slope of a line is the change in y divided by the change in x. In the case of a horizontal line, the change in y is always zero, since the y-coordinate does not change. So, no matter what value of x you choose, the slope of a horizontal line will always be:
slope = change in y / change in x = 0 / (any non-zero value of x) = 0
So, the slope of a horizontal line is always zero.
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on : to show More... Then click on √x to enter your answers using the Math Equation editor. Question 5 A frog with bionic legs leaps from a stump with an initial velocity of 64 ft/sec. It is determined that the height of the frog as a function of time can by modeled by h (t) = − 16t² +64t + 3. What is the height of the stump? O 3 ft -3 ft O 16 ft O 64 ft ◄ Previous 1 pts M Next ▸
Answers
The height of the stump is 3 ft.
The given equation represents the height of the frog, h(t), as a function of time, t. To find the height of the stump, we need to determine the height when the time, t, is equal to 0.
In the equation h(t) = -16t² + 64t + 3, we substitute t = 0:
h(0) = -16(0)² + 64(0) + 3
Since any term multiplied by zero is zero, we can simplify further:
h(0) = 0 + 0 + 3
Therefore, the height of the stump, at time t = 0, is 3 ft. This means that when the frog initially leaps from the stump, the height of the stump itself is 3 ft.
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There were 169 tickets for a major league baseball game. The lower box tickets cost $12.50 and the upper box tickets cost $10.00. The total amount of money spent was $1795.00. How many of each kind of ticket were purchased?
Answers
Answer:
42 lower box127 upper boxStep-by-step explanation:
You want the number of tickets of each kind sold if 169 tickets were sold for $1795, and lower box tickets were $12.50 while upper box tickets were $10.
SetupLet x represent the number of lower box tickets sold. Then 169 -x is the number of upper box tickets sold. The total revenue is ...
12.50(x) + 10.00(169 -x) = 1795.00
SolutionSimplifying, we get
2.50x +1690 = 1795
2.5x = 105 . . . . . . . . . . . subtract 1690
x = 42 . . . . . . . . . . . . divide by 2.5; the number of lower box ticket sold
169 -42 = 127 . . . . . . the number of upper box tickets sold
42 lower box and 127 upper box tickets were purchased.
Bridget Riley was just one of many artists associated with the 1960's 'Op Art' Movement. True or false
Answers
Answer:
True
Explanation:
Bridget Riley was one of the most prominent artists associated with the 1960s 'Op Art' movement, which was an art movement that explored optical illusions and effects to create abstract art that played with the viewer's perception. However, there were many other artists associated with this movement, including Victor Vasarely, Richard Anuszkiewicz, and Yaacov Agam, among others.
m=7/3 through (-5,8))
pls help fast ‼️
Answers
Answer:
Step-by-step explanation:
Well you have 1/2 the answer.
m = 7/3
y = mx + b
y = 7/3 * x + b
Use the point to to determine b
x = -5
y = 8
8 = 7/3 * (-5) + b
8 = -35/3 + b Add 35/3 to both sides
8 + 35/3 = b
19 2/3 = b
So the complete answer is
y = 7/3 x + 19 2/3
May please get help with finding out weather it can be lengths of a triangle or not, for each length please
Answers
Triangle inequality theorem: the sum of any two sides of a triangle is greater than or equal to the third side.
Given lengths:
1-
\(\begin{gathered} 17+4\ge8 \\ 21\ge8 \\ \\ 4+8\ge17 \\ 12\ge17 \\ \\ 17+8\ge4 \\ 25\ge4 \end{gathered}\)As you can see above not all the inequalities are true. Then, those lengths cannot be side lengths of a triangle.
2-
\(\begin{gathered} 13.3+4.3\ge9.9 \\ 17.6\ge9.9 \\ \\ 4.3+9.9\ge13.3 \\ 14.2\ge13.3 \\ \\ 9.9+13.3\ge4.3 \\ 23.2\ge4.3 \end{gathered}\)All the inequalities are true. Then, those lengths can be side lengths of a triangle
3-
\(\begin{gathered} 22+6\ge6 \\ 28\ge6 \\ \\ 6+6\ge22 \\ 12\ge22 \\ \end{gathered}\)As you can see above not all the inequalities are true. Then, those lengths cannot be side lengths of a triangle
4-
\(\begin{gathered} 13+6\ge16 \\ 19\ge16 \\ \\ 6+16\ge13 \\ 22\ge13 \\ \\ 13+16\ge6 \\ 29\ge6 \end{gathered}\)All the inequalities are true. Then, those lengths can be side lengths of a triangle
What’s the numerator for the following rational expression please I need help quick taking test currently
Answers
Answer:
Well, the most reasonable explanation would be j+8 or 8+j
Given m ∥ n, find the value of x.
Answers
given that m is parallel to n,
the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.
using the corresponding angle rule we know that:
2x + 16 = 96
2x = 80
so x = 40
If g(x) =
y-7 and h(x) = 4 - x, what is the value of (got) (-3) p
Answers
Find the unit rates: 8 ounces for $0.89? 32 ounces for $2.39?
(Giving brainliest to whoever answers first!)
Answers
Answer:
.89/8=.11
2.39/32=.07
Step-by-step explanation:
.89/8=.11
2.39/32=.07
The equation e^y= 2x is equivalent to
y = In 2
y = In x
y = In 2x
Answers
Answer:
y = ln(2x)
Step-by-step explanation:
Neat document provided.
The bedroom of our house is 1,200 cubic meters. We know that there are 3.4×10^9
particles of dust per cubic meter. Write how many particles of dust are present in the bedroom of our house.
Answers
4.33 Always plot your data! Table 4.1 presents four sets of data prepared by the statistician Frank
Anscombe to illustrate the dangers of calculating without first plotting the data.12
TABLE 4.1 Four data sets for exploring correlation and regression
Data Set A
10
8
13
9
11
14
6
12
5
y 8.04
6.95
4.82
5.68
7.58
13
8.818.33 9.96 7.24 4.26
11 14 6
10.84
12
10
8
9
Data Set B
y
9.14
8.14
8.77
8.10
6.13
3.10
9.13
7.26
4.74
8.74
13
9.26
11
2
Data Set C
10
00
8
9
14
6
4
12
5
y 7.46
6.77
7.81
8.84
5.39
8.15
6.42
12.74
8
7.11
8
6.08
8
5.73
19
8
8
8
8
Data Set D
8
8
8
y 6.58 5.76 7.71
8.848.47 7.04 5.25 5.56
791
6.89
12.50
a. Without making scatterplots, find the correlation and the least-squares regression line for all four data
sets. What do you notice? Use the regression line to predict y for x = 10.
b. Make a scatterplot for each of the data sets and add the regression line to each plot.
c. In which of the four cases would you be willing to use the regression line to describe the dependence of
y on ar? Explain your answer in each case.
Answers
Each day martin lifts weights for 10 minutes and runs on the treadmill
Answers
Answer:
I can see ur question but I'm not getting it is there any answers I can chose from to work it out
Value of x. Pleaseeeeeeeeeeeeeee
Answers
Answer:
x=62
Step-by-step explanation:
all angles should add to 180
180-56=124
124÷2=62
Answer:
Step-by-step explanation:
1st notice that two of the sides are the same length? ( isosceles ) that mean the two angles at the "base" which is the side that both of the same size legs tie into... that's the side that is 4.5 in the picture. soooo if both of those angles are the same.. and we know that the angles are going to add to 180 then.... we can say the the 56° is the same as the one at the other end of the 4.5 side (base) so 2*56°=112°
and then 112° + x = 180°
x = 180-112
x = 68°
:)
i need help with this problem
Answers
Answer:
C
Step-by-step explanation:
in trangle NET the angles are 81 and 34 so the other angle must be 180-81-34=65, the other triangle has the same measurments for angles 81-34-65 so the triangles are similar because of AA similarity theorem
ΔHMJ~ΔNET by AA similarity
Natalie borrowed money from her parents to pay for a trip.
Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed.
The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks.
Number of Weeks Natalie Has Paid,
�
w
Amount Natalie Still Owes,
�
d
0
0
$
180
$180
2
2
$
162
$162
4
4
$
144
$144
6
6
$
126
$126
8
8
$
108
$108
Part A
How much does Natalie pay her parents each week?
$
per week
Part B
Write a function that shows the relationship between the amount Natalie still owes,
�
d, and the number of weeks she has paid,
�
w.
Answers
Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
We can see that Natalie is reducing the amount she owes by $18 every two weeks.
Therefore, the amount she owes after 2 weeks is $180 - $18 = $162, after 4 weeks is $144, after 6 weeks is $126, and after 8 weeks is $108.
This means that after n weeks, the amount she still owes is:
$180 - $18n
Since she will pay the same amount each week, let's call the weekly payment P. After one week, she will owe:
$180 - P
After two weeks, she will owe:
($180 - P) - P = $180 - 2P
After four weeks, she will owe:
($180 - 2P) - P - P = $180 - 4P
After six weeks, she will owe:
($180 - 4P) - P - P = $180 - 6P
And after eight weeks, she will owe:
($180 - 6P) - P - P = $180 - 8P
We can set up an equation using the information we have:
$180 - 8P = $108
Solving for P, we get:
P = $9
Therefore, Natalie will pay her parents $9 each week, and the initial amount she still owed was $180.
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The complete question:
Natalie borrowed money from her parents to pay for a trip. Natalie will pay her parents in equal amounts every week until she pays back the entire amount she borrowed. The table below shows the amount of money Natalie still owes her parents at the end of every two weeks for the first eight weeks. How much does Natalie pay her parents each week? What is the initial amount Natalie still owes?
Week 0 = $180
Week 2 = $162
Weeks 4 = $144
Week 6 = $126
Week 8 = $108
What value of x makes the equation 5(x - 3) + 2x = 41 TRUE?
Answers
Answer: x = 8
Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT
Answer:
x=8
Step-by-step explanation:
Follow the order of operations to simplify the equation:
5(x-3) +2x=41
Start by multiplying into the parenthesis: 5x-15+2x=41
Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41
Add 15 to both sides: 7x=56
Divide both sides by 7 to get x by itself: x=8
Hope this helps! (^-^)
Rotate point (-3, 2) about the origin 180 degrees clockwise. Where will the new point be?
Answers
Answer: the answer is (3,-2)
Step-by-step explanation: when you rotate a point about the origin 180 degrees clockwise, (x,y) turns into (-x,-y)
therefore
(-3,2) becomes (3,-2)
I'm pretty sure
Which box plot correctly displays the data set with a maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?
(please refer to the answer like this: Image [number])
Answers
Answer:
Image 1
Step-by-step explanation:
To answer this question, we need to know how to use a box plot.
I've attached an image that demonstrates this well and can teach you what each part of the box plot means.
Specifically, the 2 farthest dots at the end are the minimum and maximum. The two sides where the box starts are the lower and upper quartiles. Finally, the line in the middle of the box is the median.
With this, we can analyze each box plot and determine which one is correct.
Box Plot 1: Everything is plotted correctly- Maximum and minimum plotted correctly, median plotted correctly, upper and lower quartile plotted correctly.
Box Plot 2: Everything plotted correctly EXCEPT maximum of 48 is represented at 46.
Box Plot 3: Everything plotted correctly EXCEPT the upper quartile of 45 is at 39.
Box Plot 4: Upper quartile represented at 39 and maximum represented at 46 are both incorrect.
I need all the help I can get. please assist.
4. The equation of a curve is y = (3 - 2x)^3 + 24x.
(a) Find an expression for dy/dx
5. The equation of a curve is y = 54x - (2x - 7)^3.
(a) Find dy/dx
Answers
Answer:
4(a).
Expression of dy/dx :
\({ \tt{ \frac{dy}{dx} = - 2(3 - 2x) {}^{2} + 24}}\)
5(a).
\({ \tt{ \frac{dy}{dx} = 54 - 2(2x - 7) {}^{2} }}\)
Evaluate the expression.
131 +-5
Answers
To make it less confusing it’s just 131-5
Answer:
126
Step-by-step explanation:
131 + - 5 can either be;
131 + 5 = 136
131 - 5 = 126
The question is probably asking what is 131 plus negative 5, hence the correct equation is; 131 - 5, and the correct answer is 126.
2 816 436 What is the sum of the value of the digit 8 in the number and 8?
Answers
The value of the digit 8 in the number is eight hundred thousand
The sum is 800,008.
Rohan and Sara have equal amounts invested in their respective portfolios. Both have invested in a popular international company. Their investments are listed in the table. Recent data shows a decrease in the international company’s share price. Which statement about this scenario is correct?
Rohan’s Investments company stocks, bonds, mutual funds, domestic stocks, and international stocks
Sara’s Investments international stocks
A.
Rohan’s portfolio will be affected the most because he has too many assets in his portfolio.
B.
Neither portfolio will be significantly affected because both have a good mix of assets.
C.
Sara’s portfolio will be affected more because it’s limited to international stocks.
D.
Both portfolios will be equally affected because both have an equal number of international stocks.
Answers
Answer:
C
Step-by-step explanation:
Sara only has international stocks in her portfolio
The correct statement about the scenario is; Sara’s portfolio will be affected more because it’s limited to international stocks.
How to Interpret Investment Schemes?We are told that;
Amount invested by Rohan and Sara are equal amounts.
They both have now invested in an international company that is popular. Also, recent data shows a decrease in the share price of the international company.
From their respective investments in the data table given as seen online, we can say that the correct statement is Option C.
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11. Which one of the following is unique? b. mode a. Mean c. Median d. A and B
Answers
Among the mean, mode, and median, the unique one is the b. mode.
What is the mode?The mode is the data value that occurs many times more than other data values.
Unlike the mean that shows the average value of all the data values, the mode occurs more. While we compute the mean by dividing the total data value by the number of data items, the mode is not computed but found as the most frequent data value.
Similarly, the median can be computed when two values occur as the middle values.
Thus, among the three measures of central tendency, the mean, the median, and the mode, the mode is the most unique since it is not computed.
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The graph of � = ∣ � ∣ y=∣x∣y, equals, vertical bar, x, vertical bar is shifted down by 9 99 units and to the right by 4 44 units. What is the equation of the new graph? Choose 1 answer: Choose 1 answer: (Choice A) � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 A � = ∣ � − 9 ∣ − 4 y=∣x−9∣−4y, equals, vertical bar, x, minus, 9, vertical bar, minus, 4 (Choice B) � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 B � = ∣ � − 4 ∣ − 9 y=∣x−4∣−9y, equals, vertical bar, x, minus, 4, vertical bar, minus, 9 (Choice C) � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 C � = ∣ � − 4 ∣ + 9 y=∣x−4∣+9y, equals, vertical bar, x, minus, 4, vertical bar, plus, 9 (Choice D) � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4y, equals, vertical bar, x, minus, 9, vertical bar, plus, 4 D � = ∣ � − 9 ∣ + 4 y=∣x−9∣+4
Answers
An equation of the new graph is: A. y = ∣x - 4∣ - 9.
What is a translation?In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:
g(x) = f(x - N)
Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:
g(x) = f(x) + N
Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:
y = ∣x - 4∣ - 9
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the LCM of A= 3^2 x 5^4 x 7 and B= 3^4 x 5^3 x 7 x11
Answers
The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.
Given are two numbers which are showed in the prime factorized form.
A = 3² × 5⁴ × 7
B = 3⁴ × 5³ × 7 × 11
Prime factorization is the factorization of a number in terms of prime numbers.
In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.
A = 3² × 5³ × 5 × 7
B = 3² × 3² × 5³ × 7 × 11
Bring down the primes in each column.
LCM = 3² × 3² × 5³ × 5 × 7 × 11
= 3898125
Hence the LCM is 3898125.
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3x+4y-5z=-11
4х+ у- z=-5
x-3y + 3z = 2
Left to right elimination
Answers
The solution using the elimination method for the values of x, y and z are -1, 3 and 4 respectively.
To solve multiple equation in three variables using the elimination approach, we can either add or subtract the equations. To eliminate a variable, we add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.
Let us classify the given equations as:
3x + 4y - 5z = -11 →→→→ (A)
4х + у- z = -5 →→→→→(B)
x- 3y + 3z = 2 →→→→→(C)
Multiplying equation(C) by 3 and equation (A) by 1 and subtracting we get:
3x + 4y - 5z = -11
3x - 9y + 9z= 6
13y-14z=-17→→→→→→(D)
Multiplying equation(C) by 4 and equation (B) by 1 and subtracting we get:
4x-12y+12z = 8
4x + y - z = -5
-13y+13z=13
or, z-y=1→→→→→→→(E)
Multiplying equation(E) by 13 and equation (D) by 1 and adding we get:
-13y+13z=13
13y-14z =-17
-z=-4
or, z = 4
Substituting the value of z in the equation (E) we get:
z-y=1
or, 4-y = 1
or, -y = -3
or, y = 3
Substituting the value of z and y in the equation (A) we get:
3x+4y-5z=-11
or, 3x+12-20=-11
or, 3x=-11+8
or, x=-1
Hence the solution of x, y and z are -1, 3 and 4 respectively .
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