Use the information given to find a convenient class width. Then list the class boundaries that can be used to create a relative frequency histogram. (Round your class width up to the nearest multiple of 5. Use the minimum value as the smallest class boundary. Enter your class boundaries as a comma separated list.) 8 classes for n = 75 measurements; minimum value = 50; maximum value = 205
Answers
Class boundaries list: 50,70,90,110,130,150,170,190,210
1. Calculate the range.
range= maximum value - minimum value= 205 - 50 =155
2. Divide the range by the number of classes.
width= \(\frac{155}{8}\) =19.375
3. Round this number up to the nearest multiple of five.
width = 20
class boundaries: smallest class boundry= minimum value =50
difference between two class boundries= width
class boundaries list: 50,70,90,110,130,150,170,190,210
The range is the difference between the highest and lowest values within a set of numbers. To calculate range, subtract the smallest number from the largest number in the set.The statistical distributions' characteristics are described by the terms mean, median, mode, and range. The set of all potential values for terms that indicate predetermined events is known as a distribution in statistics. A term's value stated as a variable is referred to as a random variable.
The two main categories of statistical distributions are as follows. There are discrete random variables in the first category. This indicates that each phrase has a distinct, precise numerical value. A continuous random variable is present in the distribution of the second major kind. An unlimited number the of possible values can be represented by a continuous random variable.
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Related Questions
If two angles are obtuse, then they are congruent.
True
False
Answers
The radius is 3 units
Answers
Sike nah you got this.
i need help can someone help me right now!!!!!!
Answers
(a) | BD | bisects | AC | (reason : Given)
(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).
(c) ∠ABD ≅ ∠CBD (reason: | BD | bisects angle ABC)
(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)
What is the complete proof of the congruent angles?Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.
From the first statement, we will complete the flow chart as follows;
line BD bisects line AC (reason : Given)
line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)
Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)
Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).
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what’s the answer to this question ?
Answers
Answer:
C
Step-by-step explanation:
Line pases through (6, 0) and (0, -6)
Slope = (0 - (-6))/(6 - 0) = 6/6 = 1
so y = 1*(x - 6) = x - 6
or x - y = 6
or 4x - 4y = 24
That is C
Name the image of R(1, 2) after a 270 rotation about (0, - 2)
Answers
The image after a 270 rotation is (4, -3)
How to determine the image after rotation about a point?
If the point of rotation is not the origin, the steps are as follows:
1. Subtract the point of rotation off each vertex point of
the shape
2. Rotate as you would around the origin
3. Add the point of rotation back to each vertex point of
the shape
Given: R(1, 2) after a 270 rotation about (0, - 2)
step1: (1-0, 2-(-2)) = (1, 4)
step 2: For rotation about the origin through 270°, the image is (y, -x). Thus, (1, 4) => (4, -1)
step 3: (4, -1) => (4+0, -1+(-2) ) = (4, -3)
Therefore, the image of R(1, 2) after a 270 rotation about (0, - 2) is (4, -3)
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can someone help me with this please
step by step please
here is the picture
Answers
The x-intercept of the function is (-1, 0).
The y-intercept of the function is (0, √2 - 1)
The domain of the function as an inequality is {x|x ≥ -2}.
The graph of the function f(x) = √(x + 2) - 1 is shown below.
What is the x-intercept?In Mathematics, the x-intercept is also referred to as horizontal intercept and the x-intercept of the graph of any function simply refers to the point at which the graph of a function crosses or touches the x-coordinate (x-axis) and the y-value or value of "y" is equal to zero (0).
f(x) = √(x + 2) - 1
0 = √(x + 2) - 1
1 = √(x + 2)
By taking the square of both sides of the function, we have the following:
1 = x + 2
x = 1 - 2
x = -1.
Therefore, the x-intercept is (-1, 0).
For the y-intercept of the function, we have:
f(x) = √(x + 2) - 1
f(0) = √(0 + 2) - 1
f(0) = √2 - 1
Therefore, the y-intercept is (0, √2 - 1).
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Please help, It's a statistics question, I need the answer ASAP
A particular variable measured on the US population is approximately normally distributed with a mean of 112 and a standard deviation of 22. Consider the sampling distribution of the sample mean for samples of size 16.
Answers
Answer:
Step-by-step explanation:
The sampling distribution of the sample mean for samples of size n is approximately normal with mean μ and standard deviation σ/sqrt(n), where μ is the mean of the population, σ is the standard deviation of the population, and sqrt(n) is the square root of the sample size.
In this case, the population mean is μ = 112 and the population standard deviation is σ = 22. We are interested in the sampling distribution of the sample mean for samples of size n = 16.
The mean of the sampling distribution of the sample mean is the same as the population mean, which is μ = 112.
The standard deviation of the sampling distribution of the sample mean is σ/sqrt(n) = 22/sqrt(16) = 5.5.
Therefore, the sampling distribution of the sample mean for samples of size 16 is approximately normal with mean 112 and standard deviation 5.5.
Determine a possible 3rd degree polynomial function in factored form with its only zeros at (4,0) and (-1,0) and (-7,0)
Answers
And I Purple section
To Find - probability
Solutions:
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Favarable out comes
Total Outcomes
• P/ Land on ried).
3
-N
3+2+1
And p (Lands on blue) = SAT
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3
And p/Lands on Purple)=
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Sean received both the 5th highest and the 5th lowest mark in the class. How many students are there in the class?
Answers
Answer:
There are 9 people in the class.
Step-by-step explanation:
Sean received the 5th highest grade in his class meaning that there are 4 people in front of him who got a higher grade. This also means that Sean has 4 people behind him who have lower grades. So,
4+4+1 (Sean himself) = 9 people
The number of students in the class is given by the sum of the frequency
of each score.
There are at least 9 students in the class.Reasons:
When the class scores are arranged in increasing order, we have;
Sean's position = 5 th = The fifth lowest score
Therefore;
The number of scores lower than Sean's score = 4When the scores are arranged in decreasing order, we have;
Sean's position = 5 th = Fifth highest score
Therefore;
The number of scores higher than Sean's score = 4The total number of different scores in the class = 4 + 1 + 4 = 9Given that two or more students can have the same score, the frequency
of each score, determines the number of students in the class, we have;
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A city issues 3-digit license plates for motorized scooters. The digits 0-9 are chosen at random by a computer program. What is the probability that a license plate issued meets each set of criteria
Answers
The probability of a license plate meeting all the given criteria is approximately 0.0000126, or \(1.26 x 10^{-5\).
Given that: A city issues 3-digit license plates and digits are 0 to 9.
Having all different digits:
To calculate this probability, use the same approach as before:
Number of favourable outcomes = 10 × 9 × 8
Total number of possible outcomes = 10 × 10 × 10
Probability = (Number of favourable outcomes) / (Total number of possible outcomes)
Probability = (10 × 9 × 8) / (10 × 10 × 10)
Probability = 720 / 1000
Probability = 0.72 (*)
Having at least one even digit:
So, the license plate must have all odd digits (1, 3, 5, 7, or 9).
Number of favourable outcomes = 5 × 5 × 5
Total number of possible outcomes = 10 × 10 × 10
Probability = (5 × 5 × 5) / (10 × 10 × 10)
Probability = 125 / 1000
Probability = 0.125 (1)
Now, the probability of having at least one even digit is the complement of the above probability:
Probability of having at least one even digit = 1 - 0.125
Probability = 0.875 (2)
Having the digits in ascending or descending order:
Ascending: 012, 123, 234, 345, 456, 567, 678, 789
Descending: 987, 876, 765, 654, 543, 432, 321, 210
Total favourable outcomes = 8 + 8
Total favourable outcomes = 16
Probability = 16 / 1000
Probability = 0.016 (3)
Having a specific digit in a specific position:
Let's say want the digit 7 to be in the first position.
Number of favourable outcomes = 1
Total number of possible outcomes = 10 × 10
Probability = 1 / 100
Probability = 0.01 (4)
Now, to find the probability of all criteria being met simultaneously, multiply the individual probabilities:
Probability of meeting all criteria = Probability (1) × Probability (2) × Probability (3) × Probability (4)× Probability (*)
Probability of meeting all criteria = 0.125 × 0.875 × 0.016 × 0.01 × 0.72
Probability ≈ 0.0000126
Hence, the probability of a license plate meeting all the given criteria is approximately 0.0000126.
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PLEASE HELP!!!! The focus of a parabola is (−6,−3) . The directrix of the parabola is y=4.
What is the equation of the parabola?
y=−1/28(x+6)^2+1/2
y=−1/28(x−1/2)^2−6
y=−1/14(x+1/2)^2+6
y=−1/14(x+6)^2+1/2
The directrix of a parabola is y=−4. The focus of the parabola is (−2,−2) .
What is the equation of the parabola?
y=−1/4(x−2)^2−3
y=1/4(x+2)^2−3
y=−1/8(x+2)^2+3
y=1/8(x−2)^2−3
The directrix of a parabola is y=9. The focus of the parabola is (2,5).
What is the equation of the parabola?
y=−1/8(x−2)^2+7
y=1/8(x−2)^2−7
y=−1/8(x−2)^2−7
y=1/8(x−2)^2+7
Answers
Step-by-step explanation:
Gregor Mendel knew how to keep things simple. In Mendel's work on pea plants, each gene came in just two different versions, or alleles, and these alleles had a nice, clear-cut dominance relationship (with the dominant allele fully overriding the recessive allele to determine the plant's appearance
Santana Office Supplies record the number of times their five photocopiers break down.
The graph above shows the number of breakdowns for their photocopiers during 2011.
About how many photocopier breakdowns were there in total at Santana Office Supplies during 2011?
Answers
Answer:
125
Step-by-step explanation:
Since we cannot find out the exact number of breakdowns for B3, B2, B1 and A2, we will count the point nearest to the bars.
B3: Approximately 25
B2: Approximately 30
B1: Approximately 35
A2: Approximately 20
A1: Exactly 15
Total no. of breakdowns: 25 + 30 + 35 + 20 + 15 = 125 breakdowns (approximately)
Total number of photocopier breakdowns that were at Santana Office Supplies during 2011 is approximately 125.
What is Addition?Addition is one of the basic mathematical operations where two or more numbers is added to get a bigger number.
The process of doing addition is also called as finding the sum
Given a graph which shows the number of times photocopier breakdowns in 2011.
We have to add the breakdowns happened for each of the photocopier A1, A2, B1, B2 and B3.
Total number of breakdowns = 15 + 21 + 34 + 32 + 23
= 125
Hence the total number of breakdowns during 2011 is approximately 125.
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Given the graph of the quadratic function, identify the solutions.
Answers
Explanation:
The solutions, or roots, are the x intercepts of the graph. This is where the curve crosses or touches the x axis. In this case, the two x intercepts are -6 and 0.
The graph represents a quadratic function. Write an equation of the function in standard form.
Answers
A quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
Given that, the graph is passing through (2, 0), (10, 0) and (6, -4).
What is a quadratic function in standard form?The standard form of a quadratic equation is given as:
ax² + bx + c = 0 where a, b, c are real numbers and a ≠ 0.
Now, the equation passes through (2, 0)
y = ax² + bx + c
0 = 4a + 2b + c ----------------(1)
The equation passes through (6, -4)
y = ax² + bx + c
-4= 36a + 6b + c ----------------(2)
The equation passes through (10, 0)
y = ax² + bx + c
0 = 100a + 10b + c ----------------(3)
Using the Gauss elimination method to solve the system of equations we get,
a = 1/4, b = -3, and c = 5
The quadratic equation will be:
y = ax² + bx + c
y = (1/4) x² - 3x + 5
Therefore, a quadratic function in standard form with the given characteristics is (1/4) x² - 3x + 5.
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What is the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x2 - 3x and y = x about the horizontal line y = 6? * 18 (6 - x2 + 3x)2-(6- x)?dx o Tejo (6-x2+3x)2 - (6 - x)?dx OTS (6 - 12 - (6 - x2 + 3xPdx Orla (6 - XP2 – (6-x2 + 3x)
Answers
The integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y = x₂ - 3x and y = x about the horizontal line y = 6 is 2πx(6 - x² + 3x)dx, which is integrated from x=0 to x=3, which gives us 81π/2.
To find the integral expression for the volume of the solid formed by revolving the region bounded by the graphs of y=x² - 3x and y=x about the horizontal line y=6, we can use the method of cylindrical shells.
First, we need to find the limits of integration, The graphs of y = x² - 3x and y=x intersect at x=0 and x=3. Therefore, we integrate from x=0 to x=3.
Next, we consider a vertical strip of width dx at a distance x from the y- boxes. the height of the strip is the difference between the height of the curve y= x² - 3x and the line y=6, which is 6 - (x² - 3x) = 6 - x² + 3x. the circumference of the shell is 2π times the distance x from the y-axis, and the thickness of the shell is dx. the volume of the shell is the product of the height, circumference, and thickness which is
dV = 2πx(6 - x² + 3x)dx
To find the total volume, we integrate this expression from x=0 to x=3.
V = ∫₀³ 2πx(6 - x² + 3x)dx, after simplifying the integrand we get :
V = 2π ∫₀³ (6x - x³ + 3x²)dx, integrating term by term we get :
V = 2π [(3x²/2) - (x⁴/4) + (x^3)] from 0 to 3, now evaluation at the limits of integration we get:
V = 2π [(3(3)²/2) - ((3)⁴/4) + (3)³] - 2π [(0)^2/2 - ((0)⁴/4) + (0)^3]= 2π [(27/2) - (27/4) + 27] - 0 = 81π/2
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
Answers
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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What is the slope of the line passing through points at (2,5) and (-3,10)?
Answers
Answer:
the answer is m = -1
Step-by-step explanation:
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Solve for x.
X =?
5x - 5
2x + 10
Answers
Answer:
7
Step-by-step explanation:
7
What do you guys think
Answers
Answer:
I think the last option D)
Answer:
you're answer would be D
How do you calculate a Punnett square?
Answers
Punnet squares are a diagram which biologist use to determine the probability of an offspring having a particular trait.
Steps to calculate Punnet square:
Step 1 : Determining parental genotypes
Step 2: Set up the Punnet square
(a) Draw a square with four boxes within it.
(b) Write the mother's genotype on top of the square. Each letter will be above one box.
(c) Write the father's genotype on the left side of the square. Each letter will be next to one box.
Step 3: Cross the P generation
Step 4: Determine the Phenotypes of the F1 generation
Step 5: Calculate Phenotypic probabilities
So this is how we calculate Punnet square.
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Find the length of side a. PLEASE HELP ME QUICK
Answers
Answer:
Well, it's Pythagoras Theorem
hyp²= opp² + adj²
hyp (hypotenuse)
opp (opposite)
adj (adjacent)
Since, we already have hypotenuse and opposite
15²= 9² + adj²
making adjacent the subject of formula
15²-9² = adj²
adj² = 225-81
adj² = 144
make adjacent subject formula by removing the ²
so,
\(adj = \sqrt{144} \)
adj = 12
A randomly generated list of integers from 1 to 5 is being used to simulate an
event, with the numbers 1,2,3, and 4 representing a success. What is the
estimated probability of a success?
A.40%
B.80%
C.75%
D.60%
Answers
Answer:
B
Step-by-step explanation:
Which value is a solution to the inequality x 4
Answers
Answer:
0
Step-by-step explanation:
x < 4 means all numbers less than 4, excluding 4 itself.
4.5 > 4.
5 > 4.
so 0 is the solution
Answer:
4
Step-by-step explanation:
interval notation ( negative infinity, 4)
2/ ((s+1)(s+2) (0.5s+1)) inverse laplace
Answers
s3+5s2+8s+4
Step-by-step explanation:
Answer:
(1-e^(-2t))*u(t) - (1-e^(-t))*u(t)
Where u(t) is the step function
Step-by-step explanation:
use partial fraction decomposition. This involves expressing the rational function as the sum of simpler fractions, each with a pole at a different point in the complex plane. Once we have done this, we can use the formula for the inverse Laplace transform of a simple pole to find the inverse Laplace transform of the original function.
There are 10 red, 10 black, 10 white, and 10 gray marbles in a jar. If all the marbles are identical, what is the least number of marbles that must be drawn out in order to ensure that among the marbles drawn out, 5 marbles will be the same color?
(A) 5
(B) 9
(C) 17
D) 40
(E) 41
Answers
2x(x - 3) + 7(x - 3)
Can I have an explanation on how it works factors
Answers
Answer:
Step-by-step explanation:
2x(x - 3) + 7(x - 3)
2x^2 - 6x + 7x - 21
reduce
2x^2 + x - 21
if this is equal to 0 then:
2x^2 + x - 21 = 0
factored:
(2x + 7)(x - 3) = 0
How that was done:
Divide the (2x^2) into (2x) and (x).
Divide the (-21) into (+7) and (-3). You choose these numbers so that their sum, when multiplied by (2x) and (-3), adds up to (+x).
Please help, Will mark brainliest
Answers
Answer:
y = - 8 x + 2
Step-by-step explanation:
Use any two pairs to find the slope with
slope = (y2-y1)/(x2-x1)
for example: (0, 2), and (1, -6)
slope = (- 6 - 2) / (1 - 0) = - 8
so the equation should look like:
y = -8 x + b
use point (0, 2) to find b:
2 = - 8 (0) + b
b = 2
Then
y = - 8 x + 2
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete reached a distance of 24.25 feet.
Answers
Answer:
Step-by-step explanation:
first athlete =28.65
second athlete=24.25
the first athlete jump - second athlete jump
28.65-24.25
= 4.40
the first athlete long jump then the second athlete
The perimeter of a rectangular field is 282 yards. If the width of the field is 52 yards, what is its length?
Answers
Answer: 89 yards
Step-by-step explanation: The perimeter is all the sides added up together. Since the width of the field is 52, the two sides are 52 yards which in total is 104 yards. 282- 104 = 178 yards. The length is 178/2 yards which is 89 yards.
Answer:
75
Step-by-step explanation:
math
Find the slope of a line that is perpendicular to this equation. y= 3x+4 and goes through the point (-2, 1)
Answers
Answer:
-1/3
Explanation:
Given the line:
\(y=3x+4\)Comparing it with the slope-intercept form [y=mx+b], the slope of the line y=3x+4:
\(m=3\)Definition: Two lines are perpendicular if the product of their slopes is -1.
Let the slope of the new perpendicular line = n.
\(\begin{gathered} \implies m\times n=-1 \\ 3\times n=-1 \\ n=-\frac{1}{3} \end{gathered}\)The slope of a line that is perpendicular to the given equation is -1/3.
Note
It does not matter the point it goes through. Any line perpendicular to y=3x+4 will always have a slope of -1/3.