1. Steven surveyed students as they waited to catch the bus. He asked them, "How many minutes did you have
to wait for your bus to arrive?" The results are shown in the line plot.
(a) How many students were surveyed?
(b) What was the greatest number of minutes waited by a student?
(c) How many students waited 9 minutes?
(d) How many students waited at least 5 minutes?
(e) What was the median number of minutes waited?
Answers
a.) The total number of students that where surveyed= 15 students
b.) The greatest number of minutes waited by a student = 3 minutes.
c.) The number of students that waited 9 minutes = 2 students.
d.) The number of students that waited for at least 5 minutes = 10 students.
e.) The median number of minutes waited = 4 minutes.
How to determine the number of students that were surveyed?The line plot is defined as the type of representation of data whereby data area represented as points or check marks above a number line and the frequency of each value is shown.
For a.) The total number of students that where surveyed can be determined by counting the number of dots which would be = 15 students.
For b.) The greatest number of minutes waited by a student = 3 minutes.
For c.) The number of students that waited 9 minutes = 2 students.
For d.) The number of students that waited for at least 5 minutes = 10 students.
For e.) The median number of minutes waited =
The total number of minutes waited are listed below;
0, 1, 2, 3, 5, 7, 9 11
3+5/2 = 8/2 = 4 minutes
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Related Questions
to find the P(Z>0.93) find the row containing ______ in the far left column. Then find the column containing _____ in the top row. P(Z>0.93) = 1 - _________ (round to 4 decimals) = ______ (round to four decimal)...(Please use Appendix C-2.)
Answers
To find the P(Z>0.93) using Appendix C-2, we first need to find the row containing 0.9 in the far left column. Next, we find the column containing 0.03 in the top row. The intersection of the row and column is 1.546. Therefore, the probability of Z being greater than 0.93 is 1 - 0.8289 = 0.1711 (rounded to four decimal places).
The values in Appendix C-2 represent the area to the left of a standard normal distribution. Since the total area under the curve is equal to 1, we can find the area to the right of a certain value by subtracting the area to the left from 1.
In this case, we want to find the area to the right of 0.93, which is equivalent to finding the area to the left of -0.93 (since the standard normal distribution is symmetric). By finding the corresponding value in Appendix C-2 and subtracting from 1, we get the probability of Z being greater than 0.93.
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Given the table of values below from a quadratic function, write an equation of that function
X | -6 | -5 | -4 | -3 | -2|
f(x) | 2 | -1 | -2 | -1 | 2 |
Answers
The value of quadratic equation is,
⇒ y = x² + 10x + 22
Let the value of quadratic equation is,
⇒ y = ax² + bx + c
Now, Let the points from tables as;
⇒ (- 6, 2) (- 5, - 1) (- 4, - 2)
Substitute all the values in equation as;
⇒ y = ax² + bx + c
⇒ 2 = a(- 6)² + b(-6) + c
⇒ 2 = 36a - 6b + c
⇒ - 1 = a (- 5)² + b (- 5) + c
⇒ - 1 = 25a - 5b + c
⇒ - 2 = a (- 4)² + b (- 4) + c
⇒ - 2 = 16a - 4b + c
Solve expression for the values of a, b and c as;
a = 1
b = 10
c = 22
Thus, the value of quadratic equation is,
⇒ y = x² + 10x + 22
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what is the solution to from the boat of a lake ,the angle of elevation to the cliff is 24.22,if the base of the cliff is 747 feet from the boat ,how high is the cliff to the nearest
Answers
Answer:
Step-by-step explanation:
338.33 ft
What are the zeros of the polynomial function?
f(x)=x2−16x+48
Enter your answers in the boxes.
The zeros of f(x) are( ) and ( ).
Answers
The zeros of function f(x) are 8 and 6.
We have,
To find the zeros of the polynomial function f(x),
We need to solve for x in the equation f(x) = 0.
So,
f(x) = x² - 16x + 48
Setting f(x) = 0, we have:
x² - 16x + 48 = 0
We can factor this quadratic equation as:
(x - 8)(x - 6) = 0
Using the zero product property, we have:
x - 8 = 0 or x - 6 = 0
Solving for x.
x = 8 or x = 6
Therefore,
The zeros of function f(x) are 8 and 6.
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Please help hurry I’ll mark brainly
Answers
For strain 1 the average rate of change is 20, while for strain 2 it is 16.7, then Strain 1 has the larger one.
How to find the average rate of change?For a function y = f(x), we define the average rate of change on an interval [a, b] as:
R = (f(b) - f(a))/(b - a)
For the table, the average rate of change will be:
R = (85 - 25)/(4 - 1)
R = 60/3 = 20
For the graph, it will be:
R' = (70 - 20)/(4 - 1) = 50/3 = 16.7
Then we can see that the table (Strain 1) has a greater rate of change.
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A restaurant manager recorded the number of people in different age groups who attended their food festival. They created the
following histogram:
60
50
40
30
20
10-
0
0-19 20-39 40-59 60-79
Age Group (yr)
Food Festival Participants
What percentage of the participants are ages 40 to 59? Round to the nearest whole percent. 20%
35%
60%
100%
Answers
Answer:
35%
Step-by-step explanation:
1. Add all the participants that attended
20 - 0-19yrs
40 - 20-39yrs
60 - 40-59yrs
50 - 60-79yrs
170 total
2. Divide the age group 40 - 59 by the total amount of participants to get the answer.
60/170 = about .35 = 35%
are these correct?
if you cant see my answers :
1 ) 65 •
2 ) 120•
3 ) 60•
4 ) 40 •
5 ) 135•
6 ) 165•
7 ) 85 •
8 ) 145•
thanks! have a good day
Answers
Answer:
Step-by-step explanation:
I thing number 5 the answer is 125 degrees
Answer:
yes
Step-by-step explanation:
cause as i see u if it is acute angle it must be <90
and for obtuse angle the angle is 90<x<180 ( between 90 and 180)
A soccer ball kicked with an initial velocity of 39 ft/sec and an angle of 44° with the ground. Find the parametric equations that model the motion. What was its maximum height?
step by step please asap
Answers
The soccer ball reaches a maximum height of approximately 34.8 feet.
How to solveThe parametric equations for the motion of the soccer ball are:
x(t) = 39*cos(44°)t ≈ 26.9t
y(t) = [tex]39\sin(44)*t - 16t^2[/tex] ≈ [tex]22.7t - 16t^2[/tex]
where t is the time elapsed since the ball was kicked.
To find the maximum height of the ball, we need to find the vertex of the parabolic trajectory given by y(t).
The maximum height occurs at the vertex, which is at the time t = -b/2a, where a = -16 and b = 39*sin(44°).
So, t = -b/2a ≈ 1.1 seconds.
Substituting this value of t into the equation for y(t), we get the maximum height:
y(max) = [tex]39*\sin(44)1.1 - 16(1.1)^2 = 34.8 feet.[/tex]
Therefore, the soccer ball reaches a maximum height of approximately 34.8 feet.
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a dog weighs 40 punds with 4 legs. How many pounds will the dog weigh with 3 legs?
Answers
Answer:
30 lbs
Step-by-step explanation:
40/4=10
10 lbs per leg
10x3=30
Answer:
30
Step-by-step explanation:
Find the volume of the hemisphere. Round to the nearest tenth.
12 mm
____ mm³
Answers
The volume of the hemisphere is 301.44mm²
What is volume of hemisphere ?Any circle drawn around the Earth that divides it into two equal halves is called a hemisphere. Examples is a ball cut into two part. Each part will be an hemisphere.
The volume of an hemisphere is expressed as;
V = 2/3πr³
where v is the volume and r is the radius
Here, r = 12mm
Therefore;
V = 2/3 × ×3.14 × 12²
V = 904.32/3
V = 301.44mm²
therefore the volume of the hemisphere is 301.44mm²
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Assume the length of female humpback whales can be modeled with a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters. 65% of female humpback whales are shorter than what length?
Answers
65% of female humpback whales are shorter than 14.1565 meters.
Given that, a normal distribution with a mean of 13.7 meters and a standard deviation of 0.5 meters.
We know that, Z=(x-μ)/σ
Z=standard score, x=observed value, μ=mean of the sample and σ=standard deviation of the sample
The z-score for the 65th percentile is 0.8416
Here, where x = the 65th percentile, μ = the mean value, and σ = the standard deviation.
So, we can rearrange the formula as follows:
x = z × σ + μ
Substituting the values:
x = 0.8413 × 0.5 + 13.7
x = 14.1565 meters
Therefore, 65% of female humpback whales are shorter than 14.1565 meters.
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If a risk has a 20 percent chance of happening in a given month, and the project is expected to last five months, what is the probability that this risk event will occur during the fourth month of the project?
Answers
The probability that the risk event will occur during the fourth month of the project is 0.2.
If a risk has a 20% chance of happening in any given month, then the probability of it not happening in any given month is 1 - 0.2 = 0.8.
Assuming the risk event is independent from month to month, the probability that the risk does not happen in the first three months is:
P(not happening in 1st month) × P(not happening in 2nd month) × P(not happening in 3rd month) = 0.8 × 0.8 × 0.8 = 0.512
The probability that the risk occurs in the fourth month, given that it has not occurred in the first three months, is:
P(happening in 4th month | not happening in 1st, 2nd, and 3rd months) = P(happening in 4th month) = 0.2
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Which one of the following statements is true?
A. If 4/3h = 12, then h = 16
B. If -2/5r= -20, then r -50
C. If 1/2 = -3/7q, then q = -1/6
D. If 3/8 = 24c, then c= 9
im so confused ahhh please help
Answers
The correct statement is:
B. If -2/5r = -20, then r = 50
In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To solve the equation, we can isolate the variable by multiplying both sides of the equation by the reciprocal of -2/5, which is -5/2:
(-2/5r) * (-5/2) = (-20) * (-5/2)
r = 50
Therefore, if -2/5r = -20, then r = 50.
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For a certain video game, the number of points awarded to the player is proportional to the amount of time the game is played. For every 2 minutes of play, the game awards one-half point, and for every 6 minutes of play, the game awards one and one-half points.
Part A: Find the constant of proportionality. Show every step of your work. (4 points)
Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)
Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)
Part D: How many points are awarded for 10 minutes of play? (2 points)
Answers
The game awards 2.5 points for 10 minutes of play.
Solving the proportion problem in detailsPart A:
Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,
1 min of play = 0.5/2 = 0.25 points
6 min of play = 0.25 x 6 = 1.5 points
The constant of proportionality is 0.25
Part B:
We can use the formula for a proportional relationship,
y = kx
where
y = number of points awarded,
x = amount of time played (in minutes), and
k = constant of proportionality.
Substituting k = 0.25, we get:
y = 0.25x
Part C:
To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, y).
Part D: To find the number of points awarded for 10 minutes of play, we can simply substitute x = 10 into the equation we found in Part B:
y = 0.25x = 0.25(10) = 2.5
Therefore, 2.5 points are awarded for 10 minutes of play.
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what is the greatest common factor of 21 and 48?
Answers
Answer:
Step-by-step explanation: 3
Hey Chef makes 80 ounces of tomato sauce. He uses 2/5 of the tomato sauce for a pasta dish. Does Chef divide the rest of the sauce into six jars. How much sauce is in each jar?
Answers
Each jar contains 8 ounces of tomato sauce. The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces.
The total amount of tomato sauce used by Chef for the pasta dish is 32 ounces. Chef then divides the remaining 48 ounces of tomato sauce into six jars, resulting in 8 ounces of sauce in each jar.
To calculate the amount of tomato sauce used by Chef for the pasta dish, we first need to find 2/5 of 80 ounces, which is (2/5) x 80 = 32 ounces. Therefore, Chef uses 32 ounces of tomato sauce for the pasta dish.
After using 32 ounces of tomato sauce for the pasta dish, Chef is left with 80 - 32 = 48 ounces of tomato sauce. To divide this into six jars, we simply divide 48 by 6, which gives us 8 ounces of tomato sauce in each jar.
Therefore, each jar contains 8 ounces of tomato sauce.
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FILL IN THE BLANK. "Test Yourself
The transitivity of divisibility theorem says that for all integers a, b, and c, if ___________ then ____________ ."
Answers
The transitivity of divisibility theorem says that for all integers a, b, and c, if a divides b and b divides c, then a divides c. In other words, if a is a factor of b and b is a factor of c, then a is also a factor of c.
This theorem can be written as follows: If a | b and b | c, then a | c. For example, if a = 2, b = 6, and c = 12, we know that 2 | 6 and 6 | 12, so by the transitivity of divisibility theorem, we can conclude that 2 | 12.
The transitivity of divisibility is an important property of integers and is often used in number theory and other mathematical areas. It allows us to make inferences about the factors of numbers and the properties of divisibility, and is a useful tool in proofs involving divisibility and prime numbers.
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A generic square slab used to make outdoor patios has an area of 144
square inches.
The owner of the house, Jacobie, wants to put a larger tile than the
standard size on his patio to change the look. The new tile he found is
a square with an area of 225 square inches.
What is the length of the side of the new size square slab?
How does this larger tile compare to the current tile used in the
patio?
Answers
x^2 = 225
Taking the square root of both sides, we can solve for x:
x = sqrt(225) = 15
Therefore, the length of the side of the larger square tile is 15 inches.
To compare the larger tile to the current tile used in the patio, we can calculate the length of the side of the current tile. We are given that the area of the current tile is 144 square inches, so we can set up another equation:
y^2 = 144
Taking the square root of both sides, we can solve for y:
y = sqrt(144) = 12
Therefore, the length of the side of the current tile is 12 inches.
Comparing the two tiles, we see that the larger tile has a side length of 15 inches, while the current tile has a side length of 12 inches. This means that the larger tile is bigger in size, and would cover more area than the current tile. However, it's important to note that Jacobie would need to ensure that the foundation of the patio is able to support the weight of the larger tile, and that the larger tile would fit properly within the layout of the patio.
The __________forecasting model uses nonlinear optimization to forecast the adoption of innovative and new technologies in the marketplace.
Answers
The Bass diffusion model is a forecasting model that uses nonlinear optimization to predict the adoption of innovative and new technologies in the marketplace.
It was developed by Frank Bass in 1969 and has since become a widely used method for predicting the spread of new products in the market.
The Bass model assumes that the adoption of a new technology is driven by two factors: the innovative individuals who are the first to adopt, and the imitative individuals who adopt based on the influence of others. The model uses a combination of these two factors to predict the rate of adoption over time.
The Bass model takes into account the potential market size, the rate of innovation, and the rate of imitation. It is based on the assumption that the number of potential adopters is finite and that the rate of adoption will slow down as the market becomes saturated. The model also assumes that the rate of innovation will decrease over time as the technology becomes more established in the market.
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The drama club is showing a video of their recent play.The first showing will begin at 4:00pm.The second showing was scheduled to start at 6:05pm with a 1/2hour break between the showings.How long is the video in hours and minutes?
Answers
The length of one drama is 47.4 minutes.
Given that a drama club is showing two videos from 4:00pm to 6:05pm having a 1/2 hours of break in between two of them,
We need to find the length of the dramas,
So,
Total time = 4:00 to 6:05 = 2 hours and 5 minutes.
Subtracting the break length = 2.083 hours - 0.5 hours = 1.58 hours.
Now the length of one drama = 1.58/2 = 0.79 hours.
= 47.4 minutes
Hence the length of one drama is 47.4 minutes.
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The winning horse in a recent race covered the 5.50 furlong distance in 22.37 seconds. Using the equivalence
statements below, as well as any other conversion factors that you know, respond to the prompt below.
1 mi-8 furlongs- 5,280 ft
1 m-39.37 in
1 in-2.54 cm
hr
Calculate the horse's average speed for the race in units of kilometers per hour ().
*Round your answer to the correct number of significant figures.
Answers
The horse's average speed for the race in units of kilometers per hour will be 178.06.
The winning horse in a recent race covered the 5.50-furlong distance in 22.37 seconds.
The distance covered by the particle or the body in an hour is called the average speed. It is a scalar quantity. It is the ratio of the total distance to the total time.
We know that the average speed formula is given as,
Average speed = Total distance / Total time
The conversion is given as,
1 furlong = 0.201168 km
5.50-furlong = 0.201168 x 5.5 km
5.50-furlong = 1.10642 km
1 second = 1/3600 hour
22.37 seconds = 22.37/3600 hour
22.37 seconds = 0.0062 hour
The average speed is calculated as,
Average speed = 1.10642 / 0.0062
Average speed = 178.06 km per hour
The horse's average speed for the race in units of kilometers per hour will be 178.06.
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Subtract 3/16 minus 3/9
Answers
Answer: 3/16 - 3/9 = -7/48
Step-by-step:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(3/16, 3/9) = 144
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
(3/16×9/9)−(3/9×16/16)=?
Complete the multiplication and the equation becomes
27/144−48/144=?
The two fractions now have like denominators so you can subtract the numerators.
Then:
27−48=−21
144=144
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 21 and 144 using
GCF(21,144) = 3
−21÷3=-7
144÷3=48
Therefore:
3/16−3/9=−7/48
The IV in this experiment (Gender and GSR) is a(n) ____________ variable.
a. dummy
b. classification
c. treatment
d. extraneous
Answers
The correct option is: c. treatment
Why Gender and GSR is treatment variable?The IV (Independent Variable) in an experiment refers to the variable that is systematically manipulated or varied by the researcher to observe its effect on the dependent variable.
In the given experiment, the IVs are "Gender" and "GSR" (Galvanic Skin Response), indicating that these variables are systematically manipulated or varied to observe their effect on the dependent variable.
Therefore, "Gender" and "GSR" are not dummy, extraneous, or classification variables.
They can be considered as treatment variables as they are manipulated to observe their effect on the dependent variable.
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Match the graph to the type of function
Answers
The functions in this problem are classified as follows:
Function A: Linear.Function B: Quadratic.Function C: Exponential.How to classify the function?A linear function has the graph in the format of a line, hence function A is classified as a linear function.
A quadratic function has the graph in the format of a parabola, hence function B is classified as a quadratic function.
An exponential function has the graph that either increases or decreases very fast, hence function C is classified as an exponential function.
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Find the value of X, y and z
answer y = 40
Answers
The points (x,y) on a scatterplot form an ellipse. As the ellipse becomes thinner, what can be concluded about the correlation r between the variables x and y?
Answers
The ellipse in a scatterplot becomes thinner, the correlation coefficient (r) between the variables x and y will increase.
The correlation coefficient (r) is a measure of the strength and direction of the linear relationship between two variables.
It ranges from -1 to 1, where values close to -1 or 1 indicate a strong linear relationship, and values close to 0 indicate a weak or no linear relationship.
When the scatterplot forms an ellipse, it indicates that there is some degree of correlation between the variables x and y.
If the ellipse is elongated, it suggests that the correlation is weak, while if the ellipse is more circular, it suggests that the correlation is stronger.
As the ellipse becomes thinner, it means that the spread of the data along one of the variables is becoming smaller, while the spread along the other variable is remaining the same.
This indicates that there is a stronger linear relationship between the variables, and as a result, the correlation coefficient (r) will increase.
Therefore, we can conclude that as the ellipse becomes thinner, the correlation coefficient (r) between the variables x and y will increase.
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Solve the following inequality for v. Write your answer in simplest form.
Answers
The value of v in the given inequality 9v - 8 ≥ 8v + 2 is v≥10.
The given inequality is 9v - 8 ≥ 8v + 2
Now, we have to solve the value for v in the above inequality.
9v - 8 ≥ 8v + 2
Now, we subtract 8v on both sides.
9v - 8 - 8v ≥ 8v + 2 - 8v.
v - 8 ≥ 2.
Now, we add 8 on both sides
v - 8 + 8 ≥ 2 + 8
v ≥ 10.
Therefore, the value for v is v ≥ 10, which means all the values greater than 10 satisfy the given inequality.
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Suppose a, b, c, and d are integers and a ≠. Suppose also that x is a real number that satisfies the equation
ax + b / cx + d = 1
Must x be rational? If so, express x as a ratio of two integers.
Answers
x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).
Let's multiply both sides of the given equation by cx+d to eliminate the denominator:
ax + b = cx + d
ax - cx = d - b
x(a-c) = d - b
x = (d - b)/(a - c)
Since a, b, c, and d are integers and a ≠ c, (a-c) is also an integer. Therefore, x is rational, because it can be expressed as the ratio of two integers (d-b) and (a-c).
Note that this is a special case of the more general result that if p(x) and q(x) are polynomials with integer coefficients and q(x) ≠ 0 for some real number x, and if p(x)/q(x) is an integer, then p(x) is divisible by q(x).
In this case, q(x) = cx + d, which is nonzero because a ≠ c, and p(x) = ax + b - (cx + d) = (a-c)x + (b-d). Since p(x) is an integer and q(x) is an integer except possibly at x = -d/c, it follows that p(x) must be divisible by q(x), and hence x = (d-b)/(a-c) is rational.
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Pythagorean Theorem and its converse
A mouse has made holes in opposite corners of a rectangular kitchen. Starting from its hole in the northwest corner, the mouse scurries 2.2 meters along the length of the kitchen to reach a piece of cheese in the southwest corner. Then the mouse scurries 3.6 meters along the width of the kitchen to its other hole in the southeast corner. Finally the mouse scurries back to the first hole. What is the total distance the mouse scurries? If necessary, round to the nearest tenth.
Please Help
Answers
The total distance the mouse scurries is 10 meters
How to determine the valueTo determine the value, we need to note that the Pythagorean theorem states that the square of the longest side of a triangle called the hypotenuse is equal to the sum of the squares of the other two sides.
This is represented as;
x² = y² + z²
Such that the parameters are;
x is the hypotenusey is the oppositez is the adjacent sideFrom the information given, we have that;
x² = 2.2² + 3.6²
find the squares
x² = 4. 84 + 12. 96
add the values
x² = 17. 8
x= 4. 22 meters
The total distance = 2.2 + 3.6 + 4.2
Add the values
= 10 meters
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How many marginal means would we have if we tested 3 levels of a factor A, 4 levels of a factor B and 2 levels of a factor C?
a. 7
b. 9
c. 24
d. 33
Answers
The number of marginal means would be 24.
How many marginal means would be obtained from testing 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C?In a design that has 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, the total number of marginal means is 24.
Marginal means are the means for each factor level averaged across the other factors in the design. To calculate the number of marginal means, you simply multiply the number of levels for each factor together.
For example, in this design, there are 3 levels of factor A, 4 levels of factor B, and 2 levels of factor C, so there are 3 x 4 x 2 = 24 marginal means.
Each marginal mean represents the mean score for a particular combination of factor levels, averaged across the other factors in the design.
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