Alex has had 15 spelling quizzes. He has scored 80, 85, 80, 75, 90, 95, 85, 90, 95,
100, 90, 75, 85, 90, 85. Click on the line plot that shows these data.
Answers
To create a line plot of Alex's spelling quiz scores, you would start by creating a horizontal axis labeled "Quiz Number" with tick marks for each of the 15 quizzes.
Then, you would create a vertical axis labeled "Score" with tick marks for each possible score (e.g. 70, 75, 80, 85, 90, 95, 100).
Next, for each quiz number on the horizontal axis, you would plot a point above the corresponding score on the vertical axis. For example, for quiz 1, you would plot a point above the score of 80 on the vertical axis.
After plotting all 15 points, you would connect them with a line to create the line plot of Alex's spelling quiz scores. The resulting line plot should show that Alex's scores have some variation, with a few lower scores (around 75) and several higher scores (around 90-95).
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Related Questions
30 Use the method of completing the square to determine the vertex of f(x) = x² - 14x - 15.
State the coordinates of the vertex.
Answers
Answer:
x² - 14x - 15 = (x − 7)² − 64Then the coordinates of the vertex are (7 , -64)Step-by-step explanation:
x² - 14x - 15 = x² - 14x + (49 - 49) - 15
= (x² - 14x + 49) - 49 - 15
= (x² - 14x + 7²) - 49 - 15
= (x − 7)² − (49 + 15)
= (x − 7)² − 64
x² - 14x - 15 = (x − 7)² − 64
Then the coordinates of the vertex are (7 , -64)
Choose the limit to which L'Hôpital's rule may be applied:
a. lim x approaches 0 (1/x)
b. lim x approaches 0 ((2x^2) -1)/3x-1
c. lim x approaches 0 (1-cosx)/x
d. lim x approaches 0 (cos2x)/2
which one is right?
Answers
The solution is Option C.
The L'Hopital's rule is applied to the equation lim x approaches 0 (1-cosx)/x
What is L'Hopital's rule?L'Hopital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined. The limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.The tangent to the curve at the point [g(t), f(t)] is given by [g′(t), f′(t)]
And , lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = lim x approaches 0 (1/x)
On simplifying the equation , we get
The limit diverges as the function diverges and limit does not exist
And , lim x approaches 0₊ (1/x) ≠ lim x approaches 0₋ (1/x) = ∞
b)
The equation is A = lim x approaches 0 ( 2x² - 1 ) / ( 3x - 1 )
On simplifying the equation , we get
when x = 0 ,
Substitute the value of x = 0 in the limit , we get
A = ( 2 ( 0 )² - 1 ) / ( 3 ( 0 ) - 1 )
A = ( 0 - 1 ) / ( 0 - 1 )
A = 1
c)
The equation is A = lim x approaches 0 ( 1 - cosx ) / x
On simplifying the equation , we get
Applying L'Hopital's rule , we get
lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
f ( x ) = ( 1 - cos x )
g ( x ) = x
f' ( x ) = sin x
g' ( x ) = 1
So ,
lim x approches 0 [ f' ( x ) / g' ( x ) ] = lim x approches 0 ( sin x / 1 )
when x = 0
sin ( 0 ) = 0
Therefore , the value of lim x approaches 0 (1-cosx)/x = 0
d)
The equation is A = lim x approaches 0 ( cos 2x ) / 2
On simplifying the equation , we get
when x = 0 ,
A = cos ( 2 ( 0 ) / 2
A = cos ( 0 ) / 2
A = 1/2
Hence , the L'Hopital's rule is applied to lim x approaches 0 ( 1 - cosx ) / x
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is this a function or not a function? please helpp!
Answers
Nopeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
not a function
Step-by-step explanation:
fuctions are graphed in a straight line
Anyone help pls because this is confusing
Answers
Answer:
it is a 25 feet below sea level
Step-by-step explanation:
when you are below sea level you are a negative instead of a postive on sea level
a contractor is considering a sale that promises a profit of 240000.0 dollars with a probability of 0.76 or a loss (due to bad weather, strikes, and such) of 20000.0 with a probability of 0.24. what is the expected profit?
Answers
The expected profit that the contractor will earn from the sale is equal to $177600.
Whenever a contactor does sale of a certain commodities, he expects that whatever he does he earns a profit from the sales. Profit is earned when the selling price of the commodity is more than the price at which the commodity was brought by the contractor.
The expected profit from the sale is calculated as the sum of the profits multiplied by their respective probabilities. In this case, the expected profit is given by:
Expected profit = (240000.0 * 0.76) + (-20000.0 * 0.24) = 182400.0 + (-4800.0) = $177,600
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one day, a downtown hotel in san jose had to walk a guest to another hotel. the room rate for another hotel in downtown was $150. it cost $15 for the guest to take an uber to another hotel. the overbooked hotel also gave the guest a gift card of $25. how much is the cost of walking this guest? group of answer choices $150 $180 $190 $160
Answers
The cost of walking this guest is $190.
The cost of walking the guest can be calculated by adding up the expenses incurred by the hotel.
The guest was walked to another hotel that charged a room rate of $150. Therefore, the hotel incurred a cost of $150 for the room.
In addition to the room cost, the hotel also paid for the guest's Uber ride to the new hotel, which was $15.
Furthermore, the overbooked hotel gave the guest a gift card worth $25. Although the gift card does not directly represent an expense, it can be considered as an opportunity cost for the hotel, as they could have used that money to cover other costs.
Therefore, the total cost incurred by the hotel for walking the guest is:
$150 (room cost) + $15 (Uber cost) + $25 (gift card cost) = $190
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How do I graph this solution to the system of linear inequalities
Answers
The solution to the system of linear inequalities y >= x + 1 and y < 3x - 2 is the shaded region between the two boundary lines, excluding the line y = 3x - 2 itself.
To graph the solution to the system of linear inequalities y >= x + 1 and y < 3x - 2, we will plot the boundary lines and shade the appropriate regions.
First, let's graph the boundary line for y = x + 1. To do this, we plot the points (0, 1) and (1, 2) and draw a straight line passing through these points. This line represents the equation y = x + 1.
Next, let's graph the boundary line for y = 3x - 2. We plot the points (0, -2) and (1, 1) and draw a straight line through these points. This line represents the equation y = 3x - 2.
Now, let's determine the shading for each inequality.
For the inequality y >= x + 1, we shade the region above the line y = x + 1. This means all points that lie above or on the line are part of the solution.
For the inequality y < 3x - 2, we shade the region below the line y = 3x - 2. This means all points that lie below the line are part of the solution, but the points on the line itself are not included.
The solution to the system of linear inequalities is the region that satisfies both inequalities simultaneously, which is the shaded area that lies above the line y = x + 1 and below the line y = 3x - 2.
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In a recent storm, an 18-foot utility pole broke and fell leaving a 5-foot tall portion upright. How far is the top of the pole from the base of the pole?
Answers
Answer: \(12\ ft\)
Step-by-step explanation:
Given
Total height of utility pole is 18 ft
After breakage, only 5 foot tall portion is standing
The fallen part is \(18-5=13\ ft\) in length
From the figure, apply the Pythagoras theorem
\(\Rightarrow 13^2=x^2+5^2\\\Rightarrow x^2=169-25\\\Rightarrow x=\sqrt{169-25}\\\Rightarrow x=\sqrt{144}\\\Rightarrow x=12\ ft\)
Thus, the fallen part is \(12\ ft\) away from the base of the pole.
Graph the line that passes through the points (-3,-6) and (8,-6)and determine the equation of the line.
Answers
Answer:
Y = -6
Step-by-step explanation:
x1 y1 x2 y2
-3 -6 8 -6
(Y2-Y1) (-6)-(-6)= 0 ΔY 0
(X2-X1) (8)-(-3)= 11 ΔX 11
slope= 0
B= -6
Y = -6
jill is taking 5 courses (or 15 credit hours). how many hours of homework should she expect each week in addition to her time spent inside the classroom?
Answers
Jill should expect an additional 30 to 45 hours of homework each week.
As a general rule of thumb, students can expect to spend 2-3 hours of homework for each hour spent in class. This means that for a 15 credit hour course load, Jill can expect to spend an additional 30 to 45 hours on homework each week.
However, this is just a rough estimate and the actual amount of time required will depend on the difficulty of the courses, the teaching style of the instructors, and the individual study habits and ability of the student. Additionally, some courses may require more time spent on projects, reading, or other assignments that are not factored into this estimate.
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0.2 is what percent of 2?
Answers
Answer:
10%
Step-by-step explanation:
To get 0.2 from 2, we need to divide by 10 or multiply by 0.10. Since we have 0.10, we convert that to percent by multiplying by 100 to get 10%.
Answer:
0.2 is 10% of 2.
Step-by-step explanation:
We can set up an equation:
2*x=0.2
x is representing the decimal that 2 needs to be multiplied to equal 0.2
2x=0.2
x=0.1
If x equal 0.1, then we can convert 0.1 into a percent. 0.1=10%
So, 0.2 is 10% of 2.
Which expression is undefined? (-4+0) O A. OB. 0 : 11 O c. OD. –
Answers
Answer:
C
Step-by-step explanation:
Third expression asks you to basically divide by zero. That is, find a number that multiplied by 0 gives you 3, which is impossible.
Hello!
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Option C
Division by 0 is undefined.
6-6=0, and any expression that has 0 it its denominator is undefined.
I hope it helps you! (:
~SparklingFlower
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Which of the following could be a real-world description of 5x − 18?
$18 in addition to the cost of 5 hot dog combos
The cost of 18 people splitting 5 hot dog combos
The cost of hot dog combos less an $18 coupon split by 5 people
$18 less than the cost of 5 hot dog combos
Answers
Answer:
$18 less than the cost of 5 hot dog combos
Step-by-step explanation:
First, we see from the minus sign that this will be subtraction. PEMDAS (order of operations) says we do the multiplication first, then the subtraction.
The diagram shows a circle with centre O.
A & B lie on the circumference of this circle.
Given that ∠OAB = 40°, evaluate ∠AOB.
Helppp ASAP
Answers
As angle OAB =40-degree, angle AOB is 100 degrees according to the properties of circle and triangle.
What are the properties of circle?Some Properties of circle are distance from center of the circle to each point on the circumstances are equal. hence, OA=OB
Diameter is twice of radius.
What is isosceles triangle?The triangle having two equal side length is called isosceles triangle. In the figure, triangle OAB is an isosceles as OA=OB=radius
According to the criteria of isosceles triangle angle OAB =OBA =40°
hence, angle AOB= 180 degrees - (40°+40°) [angle sum of triangle =180°]
angle AOB= 100 degrees.
We get, AOB = 100 degrees
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Find m, so that (-3) m+1 × (-3)5 = (-3)7
Answers
The equivalent value of m is given by the expression m = 1
Given data ,
We can use the properties of exponents to solve this problem. Specifically, when we multiply two powers with the same base, we add their exponents.
So, we have:
(-3)^(m+1) × (-3)⁵ = (-3)⁷
Using the property of exponents, we can add the exponents on the left-hand side:
(-3)^(m+1+5) = (-3)⁷
Simplifying the exponents on the left-hand side:
(-3)^(m+6) = (-3)⁷
We know that two powers with the same base are equal if and only if their exponents are equal. So, we can set the exponents equal to each other:
m + 6 = 7
Subtracting 6 from both sides:
m = 1
Hence , m = 1 is the value that satisfies the equation
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Sutton takes 48 minutes to walk to work. after getting a new job, sutton takes 30.72 minutes to walk to work. what was the percent decrease in the travel time?
Answers
The percent decrease in the travel time after getting a new job is 36%.
Percentage is defined as part of a whole expressed in hundredths or out of 100. It is usually written with the symbol "%".
First, determine the decrease in travel time after getting a new job by subtracting the new travel time of 30.72 minutes from the initial travel time of 48 minutes.
decrease in time = 48 - 30.72
decrease in time = 17.28
Then, determine the percent decrease by dividing the decrease in time of 17.28 minutes by the initial travel time of 48 minutes and multiply by 100.
percent decrease = (17.28 / 48) x 100
percent decrease = 36%
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Which equation models the following word problem?The sum of three consecutive integers is 22 more than twice the largest.Find the integers.
Answers
The three consecutive integers are
x, (x+1), and (x+2)
Where (x+2) is the largest of them.
22 more than means to add 22.
Twice the largest means 2 times the largest.
So, let us equate the sum of three consecutive integers to 22 plus 2 times (x+2)
\((x)+(x+1)+(x+2)=22+2(x+2)\)Therefore, the above equation correctly models the given word problem.
The original scale factor for a scale drawing of a house plan is 180, and the length of the original scale drawing is 12 inches. What is the length of a new scale drawing if the scale factor of the new scale drawing to actual length of the house is 1180?.
Answers
Answer:mutplion
Step-by-step explanation:
Rectangle ABCD has a width of 8 yards and a length of 20 yards. Rectangle QRST, which is similar to rectangle ABCD, has a length of 40 yards.
Find the scale factor of ABCD to QRST and the perimeter of each rectangle.
Answers
Answer: 16 yards would be your answer
The scale factor of ABCD to QRST is 1:2
The perimeter of rectangles ABCD and QRST are 56 yards and 112 yards respectively.
Rectangle ABCD has a width of 8 yards and a length of 20 yards.
Rectangle QRST is similar to rectangle ABCD.
Rectangle QRST has a length of 40 yards.
Scale factor:Therefore, the scale factor of ABCD to QRST can be calculated as follows:
let
x = width of rectangle QRST
8 / x = 20 / 40
8 / x = 1 / 2
x = 16
The scale factor of ABCD to QRST is 1:2
Perimetersperimeter ABCD = 2(8 + 20) = 56 yards
perimeter QRST = 2(16 + 40) = 112 yards.
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Cine mark is having a summer special. If you get a membership, the one-time cost is $ 12.50 plus $2.00 per movie that you watch. Write a linear equation that will show the cost of membership and each movie seen.
Slope:
Y-intercept:
Equation:
Answers
Answer:
Y= 12.50 x + 2.00
Expression: a collection of ________, variables, operations, and parentheses
Answers
Expression: a collection of numbers, variables, operations, and parentheses.
What are expressions?An algebraic expression consists of unknown variables, numbers and arithmetic operators.
Given a statement,
The blank of the statement will be filled by the word "numbers" because an expression is a combination of numbers, variables and at least one mathematical operation.
Hence, the answer is numbers.
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Which of the following is the correct sequence of project phases? O A. Concept - Planning - Definition O B. Definition - Planning - Performance O C. Postcompletion - Performance - Planning OD. Performance - Concept - Planning
Answers
The correct sequence of project phases is Definition - Planning - Performance. The correct answer is B.
This is the typical order of project phases in a traditional project management approach. It starts with the definition phase, where the project's goals, the scope, and the requirements are established.
Then comes the planning phase, where the project plan is developed, including the allocation of resources, scheduling, and budgeting.
Finally, the performance phase begins, during which the project activities are executed, monitored, and controlled to ensure the successful project completion.
Therefore the sequence of project phase is Definition - Planning - Performance The correct answer is B.
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In conducting the t-test for independent means, if you ______, the two means ______. Group of answer choices do not reject the null hypothesis; do not significantly differ from each other do not accept the null hypothesis; are significantly equal to each other reject the null hypothesis; do not significantly differ from each other reject the alternative hypothesis; are significantly different from each other
Answers
In the t-test for independent means, if you fail to reject the null hypothesis, it means that the two means do not significantly differ from each other. On the other hand, if you reject the null hypothesis, it means that the two means are significantly different from each other.
The t-test for independent means helps us determine if there is a significant difference between the means of two independent groups. The null hypothesis (H0) in this test states that there is no significant difference between the means, while the alternative hypothesis (Ha) states that there is a significant difference.
If, after conducting the t-test, we fail to reject the null hypothesis, it means that the observed difference between the means is not statistically significant. In other words, there is not enough evidence to conclude that the two means are different from each other.
On the contrary, if we reject the null hypothesis, it means that the observed difference between the means is statistically significant. We can conclude that there is evidence to support the claim that the means of the two groups are different from each other.
Therefore, in the t-test for independent means, not rejecting the null hypothesis means that the two means do not significantly differ from each other while rejecting the null hypothesis means that the two means are significantly different from each other.
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Hmm I’ve spent time on it… help pls anyone?
Answers
25 x 15 = 375
543 - 375 = 168
27-15 = 12
168 / 12 = 14
She sold 14 chocolate cookies and 11 butter cookies.
A bird flies 12 blocks north, 5 south, 2 west and 7 east
(calculate in blocks)
Answers
The bird flew a total of 26 blocks.
In this problem, a bird flies in different directions such as North, South, West, and East.
We are supposed to calculate the number of blocks the bird has flown in order to determine the answer to the question.
What we need to do is to add up the total number of blocks flown in each direction to get the answer, here are the details:
For blocks flown towards the north, the bird covered 12 blocks
For blocks flown towards the south, the bird covered 5 blocks
For blocks flown towards the west, the bird covered 2 blocks
For blocks flown towards the east, the bird covered 7 blocks
To find the total number of blocks flown, we need to add the blocks flown in each direction:
12 + 5 + 2 + 7 = 26
Therefore, the bird flew a total of 26 blocks.
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14. Solve for x and y. b x+13 5Y Linesa.b, and care perpendicular bisectors
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
3x - 9 ===> A
x + 13 ===> C
5y ====> B
Step 02:
We must apply the properties of triangles.
x + 13 = 5y eq.1
3x - 9 = x + 13 eq.2
eq .2
3x - 9 = x + 13
3x + x = 13 + 9
4x = 22
x = 22/4 = 11 / 2
eq. 1
x + 13 = 5 y
\(\begin{gathered} \frac{11}{2}+13=5y \\ \frac{11+26}{2}=5y \end{gathered}\)\(\begin{gathered} \frac{37}{2\cdot5}=y \\ \frac{37}{10}=y \end{gathered}\)The answer is:
x = 11 / 2
y = 37 / 10
PLEASE HELP I AM TIMES ON A FINAL U DONT NEED TO SHOW WORK AND ANSWER IF 100% SURE
Answers
Answer:
214.34
Step-by-step explanation:
.95^3=.857375
.857375(250)= 214.34375
suppose is a critical point of a function with continuous second derivatives. in each case, what can you say about ?
Answers
Yes, if is a critical point of a function with continuous second derivatives, then it is a stationary point.
This means that the function's derivative is equal to 0 at that point and it is neither increasing or decreasing.
A stationary point is a point on the graph of a function where the function's derivative is equal to 0. This is an important property of a function and it can be used to determine the properties of the function.
At a stationary point, the rate of change of the function is equal to 0, so the function is neither increasing or decreasing. In other words, the function is neither increasing or decreasing at that point.
This property can be used to analyze the function and determine its characteristics. For example, it can be used to identify local minima or maxima.
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a political action committee launches a new advertisement aimed at building support for a policy that would expand health insurance to low-income americans through increased government funding. according to zaller’s receive-accept-sample (ras) model, who would be most susceptible to this message?
Answers
According to Zaller's Receive-Accept-Sample (RAS) model, individuals who are most susceptible to the message of a political action committee launching a new advertisement aimed at expanding health insurance to low-income Americans through increased government funding would be those who both receive and accept the message.
The RAS model suggests that individuals have varying levels of political knowledge and are exposed to different sources of information. Those who are more likely to receive the message are individuals who are politically interested and engaged, while those who are more likely to accept the message are individuals who have limited political knowledge and are less critical of the information presented to them.
Therefore, in the context of the advertisement aiming to expand health insurance to low-income Americans, the most susceptible individuals would be those who are politically interested but have limited political knowledge. These individuals may be more likely to accept the message without critically evaluating its content.
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How do I solve 1/2z=9 1/4?
Answers
Answer:
z = 9/2
Step-by-step explanation:
1/2z = 9 1/4?
z = 9/2
Explanation:
Simplify
9 x 1/4 → 9/4
Multiply 2 to both sides to cancel out the 2
1z = 9/4
Note: 1z is just z