Hansel asked 40 members of the school orchestra how many minutes they spent practicing the previous weekend. He collected this data.
87, 105, 121, 86, 85, 112, 122, 115, 98, 95, 100, 105, 107, 93, 86, 72, 108, 123. 75, 100, 106, 115, 127, 128, 130, 118, 88, 73, 96, 98, 102, 121, 114, 120, 129, 89, 93, 112, 112, 84.
A) Sort the data into intervals, and record the results in a frequency table.
B) Represent the data in a histogram.
C) What does your graph show about the data set?
Answers
(first photo)
B) We can use the frequency table to create a histogram.
(second photo)
C) The graph shows that the data is mostly centered around the 100-109 and the 110-119 intervals. There is a slight positive skew, meaning that there are more people who practiced for longer times than for shorter times. The distribution seems fairly normal, with a few outliers who practiced for much longer periods of time.
Related Questions
Determine whether the following statement is true or false. If it is false, rewrite it as a true statement. A sample statistic will not change from sample to sample Choose the correct answer below O A. The statement is false. A sample statistic can change from sample to sample O B. The statement is true. C. The statement is false. A population statistic will not change from population to population. O D. The statement is false. A sample parameter will not change from sample to sample
Answers
Option A. The statement is false. A sample statistic can change from sample to sample.
What is sample statistic?Values that are calculated from the sample data provided is referred to as a sample statistic. In simple terms, sample is the small group that is a part of large part. It is a measurement that is obtained from the samples that are taken to provide insight into the parameter of the population that is unknown. Although it is known for a specific sample, it is not a constant.
So basically yes, a sample statistic can change from sample to samples based on the data given each time.
To know more about sample statistic,visit:
https://brainly.com/question/29490427
#SPJ1
What is the value of tan A?
Answers
Angle measure: What is the m
Answers
Answer:
m< JKL = 63°
m< MKL = 27°
Step-by-step explanation:
(12x+3) + (6x-3) =90°
18x = 90
x= 90/18
x=5
m< JKL (12x+3) = 12(5)+3=60+3=63
m< MKL (6x-3)=6(5)-3=30-3=27
I hope I helped you^_^
I want to know what 1/3 + -7/4 is in fraction form! Thanks!
Answers
Answer:
-17/12
Step-by-step explanation:
1/3 +-7/4 is supposed to have the same denominator so 1/3 times 4 is 4/12 and -7/4 times 3 is -21/12 so -21/12 +4/12 is -17/12
Choose the best graph that represents the linear equation: -2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0) and (1, negative 3). Graph B On a coordinate plane, a line goes through (0, 3) and (2, 4). Graph C On a coordinate plane, a line goes through (0, 3) and (2, 2). Graph D On a coordinate plane, a line goes through (0, negative 3) and (6, 0). a. Graph A c. Graph C b. Graph B d. Graph D Please select the best answer from the choices provided A B C D
Answers
Answer:
A
Just took the test, you're welcome :)
-2y = x + 6 Graph A On a coordinate plane, a line goes through (negative 6, 0), and (1, negative 3) is the right answer
What is a coordinate plane?The coordinate plane is a system of representation and description of points and lines. The vertical (y) and horizontal (x) axes form the coordinate plane. The coordinate plane has four quadrants. The point where these lines connect is called the origin (0,0).
The properties of each of the four quadrants of the coordinate plane are:
Quadrant I: Positive x and positive y.Quadrant II: Negative x and positive y.Quadrant III: Negative x and Negative y.Quadrant IV: Positive x and negative y.Learn more about coordinate plane here:https://brainly.com/question/10737082
#SPJ2
Someone help me please
Answers
Answer:
option a
Step-by-step explanation:
all positive real numbers
D. Direction: Plot following irrational numbers in the given number line.
1. 15
2.
46
3.
V55
4.
60
5.
V96
6.
14
7.
22
8.75
9. 34
10. 757 -
PIVOT 4A CALABAE
Answers
Answer:
Numbers and plot location given below:
√15 = 3.9 located between 3.8 and 4.0√46 = 6.8 located between 6.7 and 6.9√55 = 7.4 located between 7.3 and 7.5√60 = 7.7 located between 7.6 and 7.8√96 = 9.8 located between 9.7 and 9.9√14 = 3.7 located between 3.6 and 3.9√22 = 4.7 located between 4.6 and 4.8√75 = 8.7 located between 8.6 and 8.9√34 = 5.8 located between 5.7 and 5.9√57 = 7.5 locate between 7.4 and 7.6All of the students at Union Academy must take a foreign language in high school. 5/8 of the
students take Spanish. 3/10 of the students take French. The remaining students take
Chinese. What fraction of the students take Chinese?
a— 1/40
b— 1/5
c— 3/40
d— 3/20
Answers
Answer:
b 1/5
Step-by-step explanation:
the logarmithmic functions, f(x)=logx and g(x), are shown on the graph. what is the equation that represents g(x)? explain.
Answers
Answer:
g(x) = log(x+1) + 4
Step-by-step explanation:
If a curve has been translated (shifted or slid) you can add to or subtract from the x to show horizontal (left or right) shifts and add or subtract a number tacked onto the end of the equation to cause the vertical shift (up or down).
The curve for g(x) is shifted left 1 unit. So change the x to x+1. Left and right shifts are a little backwards from what you might think. But left shift is a +1.
Vertical shifts adjust the way you would think they should. UP shift 4 units is a +4 on the end of the equation. See image.
if f is a differentiable function and y=sin(f(x2)) what is dydx when x = 3 ?
Answers
At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.
How we can use the chain rule to find the derivative of y?We can use the chain rule to find the derivative of y = sin(f(x^2)) with respect to x:
dy/dx = cos(f(x^2)) * d/dx[f(x^2)]
To find d/dx[f(x^2)], we can use the chain rule again:
d/dx[f(x^2)] = f'(x^2) * d/dx[x^2] = 2xf'(x^2)
So, putting it all together:
dy/dx = cos(f(x^2)) * 2xf'(x^2)
At x = 3, we don't have enough information to find f(3^2) or f'(3^2), so we cannot evaluate the expression for dy/dx at x = 3.
Learn more about derivative
brainly.com/question/29144258
#SPJ11
Pls answer this question cuz i don't know what is the answer on this one
Pls it's on the picc
Just zoom if you don't clearly see it
THANK YOU IN ADVANCE
And Btw it's 50 points
PRETTY PLSSSSSS
Answers
Answer:
1/7 because you do the inverse.
Answer:
7 is b
Step-by-step explanation:
Pls help im timedTrey converted 12,500,000 into scientific notation as 12.5 * 10 to the power of 6 his he correct
Answers
Answer:
12,500,000 (twelve million five hundred thousand) is an even eight-digits composite number following 12499999 and preceding 12500001. In scientific notation, it is written as 1.25 × 107.
Step-by-step explanation:
Carl Downswell will receive the following payments at the end of the next three years: $15,000,$18,000, and $20,000. Then from the end of the fourth year through the end of the tenth year, he will receive an annuity of $21,000 per year. At a discount rate of 16 percent, what is the present value of these future benefits? (Use a Financial calculator to arrive at the answer. Round the intermediate and final answer to the nearest whole dollar.) Present value of all future benefits
Answers
To calculate the present value of future benefits for Carl Downswell, we need to find the present value of each individual cash flow and sum them up. The cash flows include three separate payments at the end of the next three years, followed by an annuity payment for seven years. Using a discount rate of 16 percent, we can determine the present value of these future benefits.
To calculate the present value of each cash flow, we need to discount them using the discount rate of 16 percent. For the three separate payments at the end of the next three years, we can simply find the present value of each amount. Using a financial calculator, we find that the present value of $15,000, $18,000, and $20,000 at a discount rate of 16 percent is approximately $9,112, $10,894, and $12,950, respectively.
For the annuity payments from the end of the fourth year through the end of the tenth year, we can use the present value of an ordinary annuity formula:
Present Value = Payment\(\times \left(\frac{1 - (1 + r)^{-n}}{r}\right)\)
where Payment is the annual annuity payment, r is the discount rate (16 percent), and n is the total number of years (7 years).
By substituting the values into the formula, we find that the present value of the annuity payments of $21,000 per year is approximately $103,978.
To calculate the present value of all future benefits, we sum up the present values of each individual cash flow. Adding up the present values, we find that the total present value of these future benefits is approximately $136,934.
Therefore, the present value of all future benefits for Carl Downswell is approximately $136,934.
Learn more about annuity here:
https://brainly.com/question/32931568
#SPJ11
Picking a multiple of 6 from the integers between 1 and 25.
Answers
Answer:
16%
Step-by-step explanation:
Answer: 6,12,18,24
Step-by-step explanation:
Philip made a scale drawing of an apartment. The scale of the drawing was 5 millimeters : 2 meters. The actual length of the dining room is 4 meters. How long is the dining room in the drawing?
Answers
Answer: 10 millimeters
Step-by-step explanation:
4 divided by 2 = 2
2 multiplied by 5 equals 10
when conducting a one-way independent anova with three levels on the independent variable, an f-ratio that is large enough to be statistically significant tells us:
Answers
One or more of the mean differences are statistically significant, but not the precise location of the group differences.
In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. A variable that is independent is precisely what it sounds like. It is a stand-alone variable that is unaffected by the other variables you are attempting to assess. Age, for instance, might be an independent variable.
Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.
For more questions like Independent variable click the link below:
https://brainly.com/question/17087252
#SPJ4
In the figure below, find the values of the angles given in the first column
Answers
Answer:
Angle 1 = 110 degrees
Angle 2 = 70 degrees
Angle 3 = 100 degrees
Angle 4 = 80 degrees
Step-by-step explanation:
We will first of all search for the pieces of information given in the question that can help us to solve the problem.
From the diagram, we can see that angle 3 and angle 4 are already given as
Angle 3 = 100 degrees
Angle 4 = 80 degrees
The value of angle 1 has already been supplied as 110 degrees. This leaves us with angle 2 to find.
Recall that the angles in a straight line all sum up to 180 degrees. angle 1 and 2 are on the same straight line, hence angle 2 can be found by solving 180 - 110 = 70 degrees
Angle 2 = 70 degrees
Find the exact length of the curve.y = 3 + 4x^3/2, 0 ≤ x ≤ 1
Answers
The exact length of the curve. y = 3 + 4x^3/2, 0 ≤ x ≤ 1 is L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.
To find the length of the curve, we need to use the arc length formula:
L = ∫√(1+(dy/dx)^2) dx, where y = 3 + 4x^(3/2) and 0 ≤ x ≤ 1.
First, we need to find dy/dx:
dy/dx = (12x^(1/2))/2√(3 + 4x^(3/2))
dy/dx = 6x^(1/2)/√(3 + 4x^(3/2))
Now, we can substitute this into the arc length formula:
L = ∫√(1+(6x^(1/2)/√(3 + 4x^(3/2)))^2) dx, from 0 to 1.
Simplifying the inside of the square root, we get:
L = ∫√(1+(36x)/(3 + 4x^(3/2))) dx, from 0 to 1.
We can simplify this further by multiplying the numerator and denominator of the fraction by (3 - 4x^(3/2)):
L = ∫√(1+36x(3-4x^(3/2))/(9-16x^3)) dx, from 0 to 1.
Expanding the numerator, we get:
L = ∫√((9+108x-144x^(5/2))/(9-16x^3)) dx, from 0 to 1.
Simplifying the expression under the square root, we get:
L = ∫√(9+108x-144x^(5/2)) / √(9-16x^3) dx, from 0 to 1.
We can evaluate this integral using numerical methods, such as Simpson's rule or the trapezoidal rule, to get an approximation of the length of the curve. The exact length of the curve cannot be expressed in a finite number of terms, but it can be approximated to any desired degree of accuracy using numerical methods.
To learn more about trapezoidal rule click here
brainly.com/question/31426104
#SPJ11
help pleaseeee, I don't understand
Answers
Answer:
B.
Step-by-step explanation:
2x+4-1
11. in the first round of a knockout tournament involving 32 players, the 32 players are divided into 16 pairs, with each of these pairs then playing a game. the losers of the games are eliminated while the winners go on to the next round, where the process is repeated until only a single player remains. how many possible collective outcomes are there for the first two rounds? outcomes here just give you wins and who loses for each pair playing each other, without referring to the order or games.
Answers
To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.
In the first round, there are 16 pairs playing against each other, resulting in 16 winners and 16 losers. In the second round, the 16 winners are paired up again, resulting in 8 winners and 8 losers.
So, there are a total of 16 x 8 = 128 possible collective outcomes for the first two rounds. Each outcome is determined by the combination of 16 winners and 16 losers in the first round, and then the combination of 8 winners and 8 losers in the second round.
In the first round of a knockout tournament involving 32 players, there are 16 pairs playing a game. Each pair has 2 possible outcomes: either player A wins or player B wins. So, there are 2^16 possible collective outcomes for the first round.
For the second round, there are now 16 winners, forming 8 pairs. Each pair still has 2 possible outcomes: either player A wins or player B wins. So, there are 2^8 possible collective outcomes for the second round.
To find the total possible collective outcomes for the first two rounds, simply multiply the possible outcomes of each round: 2^16 * 2^8 = 2^(16+8) = 2^24 possible collective outcomes.
Visit here to learn more about possible outcomes brainly.com/question/19567251
#SPJ11
If you're solving a quadratic equation by factoring
what would the factorization of f(x)=2x^2+15x+7
Answers
Answer:
(2x+1)(x+7)
Step-by-step explanation:
Calculating the Number of Periods [LO4] You expect to receive $39,000 at graduation in two years. You plan on investing it at 10 percent until you have $174,000. How long will you wait from now? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.) Period years
Answers
You would need to wait approximately 51.33 years from now to grow your initial investment of $39,000 to $174,000 at an interest rate of 10% per year.
To calculate the number of periods (years) required to grow an initial investment to a desired future value, we can use the formula for compound interest:
FV = PV * \((1 + r)^n\)
Where:
FV is the future value
PV is the present value (initial investment)
r is the interest rate per period
n is the number of periods
In this case:
PV = $39,000
FV = $174,000
r = 10% per year
Let's calculate the number of periods (years):
FV = PV * \((1 + r)^n\)
174,000 = 39,000 * \((1 + 0.10)^n\)
Divide both sides by 39,000:
4.4615 = \((1.10)^n\)
Take the logarithm of both sides to solve for n:
log(4.4615) = n * log(1.10)
n ≈ log(4.4615) / log(1.10)
n ≈ 2.1270 / 0.0414
n ≈ 51.33 (rounded to two decimal places)
To learn more about interest click here: https://brainly.com/question/31907854
#SPJ11
An equilateral triangle has a side length of 30.
Another side of the same triangle measures 3x + y.
The third side of the same triangle measures 4x - 2y.
What are the values of x and y that would keep the triangle equilateral?
Answers
Answer:
x=9
y=3
Step-by-step explanation:
since all three sides of an equlateral triangle are equal:
3x+y=30 then y=30-3x
4x-2y=30
4x-2(30-3x)=30
4x-60+6x=30
10x=90
x=9
3x+y=4x-2y
x=3y
y=3
please help and answer the 4 questions in the filessss
Answers
The slope in the functions are -1.7, -4.8, 3.2 and -1 respectively
Slope of LineThe slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of any line can be calculated using any two distinct points lying on the line. The slope of a line formula calculates the ratio of the "vertical change" to the "horizontal change" between two distinct points on a line. In this article, we will understand the method to find the slope and its applications.
1) The slope of the line is -1.7
2) The slope of the line is -4.8
3) Taking any two points and substituting it into the formula of slope
m = y₂ - y₁ / x₂ - x₁
m = 19.2 - 0 / -2.8 - 8.8
m = 3.2
The slope of the line is 3.2
4) The function has an equation y = -x - 12 and it's slope is -1
Learn more on slope here;
https://brainly.com/question/16949303
#SPJ1
which of the following lines are parallel.
Lines a and b
lines a and c
Lines b and c
Answers
The lines which are parallel are none.
What is the slope?The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
where (x₁, y₁) and (x₂, y₂) are the two points that you are trying to find the slope between.
Given;
Coordinates of three lines
a;(1,5) and (-2,-4)
b;(3,2) and (1,-4)
c;(6,1) and (-4,2)
Now, slopes of the lines
a= -4-5/-2-1
=10/3
b=-4-2/1-3
=-3
c=2-1/-4-6
=1/-10
Therefore, by slopes of the line none of them are parallel.
Learn more about slope here:
https://brainly.com/question/2503591
#SPJ1
why does 8 go in to 8 1 time
Answers
Answer:
if you have 8 cookies and 1 person
only one person can eat the 8 cookies
Step-by-step explanation:
8 is the total number you have.
Step-by-step explanation:
if you have 8, then you have only 8. 8 can only go into 8 once because there is no more than 8.
A green roof is to be designed for a rooftop that is 30ft x IOOft. On the rooftop 60% needs to be reserved for maintenance access and equipment. The green roof will have a soil media with 20% porosity, and a 2-in drainage layer (25% should be limited to a 0.5-in ponding depth. Based on the structural analysis, the maximum soil depth allowed for the design is 1 foot.
a) Determine the WQv need if the 90% rainfall number is P = 1.2-in
b) Determine the minimum soil media depth needed to meet the WQv
c) Determine your soil media depth.
please ca;calculate and give me answer. I t is arjunt
Answers
The appropriate soil media depth for the green roof can be determined, taking into account the WQv requirement and the structural limitations of the rooftop.
a) The WQv represents the volume of water that needs to be managed to meet water quality regulations. To calculate the WQv, the 90% rainfall number (P = 1.2 in) is used. The WQv can be determined by multiplying the rainfall number by the surface area of the rooftop reserved for the green roof (30 ft x 100 ft x 0.4, considering 60% reserved for maintenance access and equipment).
b) The minimum soil media depth needed to meet the WQv can be calculated by dividing the WQv by the product of the soil media porosity (20%) and the drainage layer depth (2 in).
c) Finally, the soil media depth for the green roof design needs to be determined. It should not exceed the maximum allowed soil depth of 1 foot.
Learn more about depth here:
https://brainly.com/question/16956526
#SPJ11
Is (3,5) a solution of y>x-3?
Answers
Answer:
no it's not
Step-by-step explanation:
multiply the polynomials (x^2+4)(x^2-4)
Answers
Answer:
x^4-16
Step-by-step explanation:
(x^2+4)(x^2-4)
x^4+4x^2-4x^2-16
x^4-16
A spinner is divided into an unknown number of equal-sized sections. Your friend spins it 100 times and tells you that it landed on section one 25 times. What is the best estimate of the number of sections the spinner is divided into? 4 25 100 400
Answers
Answer:
4
Step-by-step explanation:
the more sections there are the less of a chance the same section ould be landed on so many times. Its almost impossible to land on one of 400 25 times
Answer:
106,275,100
Step-by-step explanation:
you say if 100= 25 what about 4 25 100 400
=106,275,100