The Range is the first component of the formula in parentheses.
What is Range
The range in statistics is the difference between the highest and lowest values for a specific data collection. For instance, if the given data set has the values 2, 5, 8, 10, and 3, the range will be 10 - 2 = 8.
It is possible to think of the range as the distance between the highest and lowest observation as a result. The consequence is known as the scope of observation. The breadth of statistics reflects the diversity of observations.
The first component of a sum or count calculation that is enclosed in the parenthesis is the Range.
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A random sample of size 18 from a normal population gives 36.5 and s^2 1148. Find the upper bound of a 99% confidence interval for σ^2 (round off to the nearest integer).
The upper bound of a 99% confidence interval is found as 57.07.
A random sample of size 18.
Normal population gives 36.5.
Explain the term upper confidence bound (UCB)?
A confidence boundary which the algorithm sets to each machine on each cycle of exploration is the foundation of the deterministic UCB method for Reinforcement Learning, which focuses on exploring and exploiting.Whenever a machine is often used frequently than other machines, the border shrinks.
For the stated question-
sample size n = 18
normal population mean x = 36.5
variance s² = 1148; s = 33.88
z(α/2) for 99% confidence interval = 2.576
Thus, upper confidence bound (UCB) is estimated as;
UCB = [tex]x + z(\frac{\alpha}{2} )*\frac{s}{\sqrt{n} }[/tex]
UCB = 36.5 + 2.576×33.88/√18
UCB = 36.5 + 20.57
UCB = 57.07
Therefore, the upper bound of a 99% confidence interval is found as 57.07.
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Is this answer correct if not please please help me out. Thanks
Answer:
(A) 6
Step-by-step explanation:
since the question is about the integral and not the area of the curve, we indeed need to count the last part under the x-axis as negative.
it is an isoceles (both legs are equally long) right-angled 2×2 triangle. it's area is
2×2/2 = 2 units²
the first part is just a large rectangle 5×2, where we have to deduct two 2×1 right-angled triangles (one top left, one right).
so, we have
5×2 = 10 units²
-
2×1/2 × 2 = -2 units²
= 8 units²
and as we need to subtract the right triangle below the x-axis, the total integral is
8 - 2 = 6 units²
FYI
if the quarto was about the area under the curve, we would have to consider all parts as positron values, and we would have to calculate absolute value of the integral 0 to 5 plus the absolute value of the integral 5 to 7.
Can someone solve this please? Ty
The number of months during which the company is not making a profit 18.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
C(x) = 17 - 8x - 2x²
R(x) = 5 - 3x
If there is no profit it means,
R(x) - C(x) = 0
Now,
5 - 3x - ( 17 - 8x - 2x²) = 0
5 - 3x - 17 + 8x + 2x² = 0
2x² + 5x - 12 = 0
Solve for x.
2x² + 5x - 12 = 0
2x² + (8 - 3)x - 12 = 0
2x² + 8x - 3x - 12 = 0
2x(x + 4) - 3(x + 4) = 0
(x + 4)(2x - 3) = 0
x = -4 (rejected) and x = 3/2
Now,
x = 3/2 = 1.5
This means,
1.5 years = 18 months
Thus,
The number of months is 18.
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7j+5−8kb; when j = 0.5 and k = 0.25
The given expression becomes 5.35-2b.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression is 7j+5-8kb.
Here, j = 0.5 and k = 0.25
Now, substitute j = 0.5 and k = 0.25 in the given expression, we get
7×0.5+5-8×0.25×b
= 0.35+5-2b
= 5.35-2b
Therefore, the expression is 5.35-2b.
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Answer:
6.5
Step-by-step explanation:
at Smalltown University, is reading applications submitted by prospective students. The president of Smalltown University is weary about admitting too many domestic students and not enough international students. However, the applications are blinded so Jenny cannot see if an applicant is a domestic student or international student. Jenny is instructed by the president to admit exactly 14 applicants to the Department of Mathematics in a given year. Suppose that 55 domestic students and 45 international students applied to the Department of Mathematics at Smalltown University this year, and suppose that there is no difference in the qualifications of domestic and international students applying to Smalltown University. Let X represent the number of domestic applicants that Jenny selects this year. Calculate the mean, M. and standard deviation, o, of X. Please give the exact value for the mean and round your standard deviation to the nearest three decimal places. (X) = o(X) =
The mean of X can be calculated using the expected value formula, E(X) = sum of all possible values of X * probability of each value.
Since Jenny has to admit exactly 14 applicants, the possible values of X can be 0 to 14.
The probability of each value can be calculated using the binomial distribution formula, P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where n = 14 (number of applicants Jenny has to admit), k = number of domestic applicants, and p = probability of a domestic applicant (55/100).
So, the expected value of X can be calculated as:
E(X) = sum of P(X=k) * k, for k = 0 to 14
= (0 choose 0) * (55/100)^0 * (45/100)^(14-0) * 0 + (14 choose 1) * (55/100)^1 * (45/100)^(14-1) * 1 + ... + (14 choose 14) * (55/100)^14 * (45/100)^(14-14) * 14
= 7
So, the mean of X, M = E(X) = 7
The standard deviation of X can be calculated using the formula, o(X) = sqrt(E((X-M)^2))
= sqrt(E(X^2) - M^2)
= sqrt((sum of P(X=k) * k^2) - M^2)
= sqrt((0 choose 0) * (55/100)^0 * (45/100)^(14-0) * 0^2 + (14 choose 1) * (55/100)^1 * (45/100)^(14-1) * 1^2 + ... + (14 choose 14) * (55/100)^14 * (45/100)^(14-14) * 14^2 - M^2)
= sqrt(3.65)
So, the standard deviation of X, o(X) = 1.91 (rounded to nearest three decimal places).
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Please help I’m struggling
Equation of the quadratic kind: ax2+bx+c=0
Explain about the Quadratic Equation?Our ability to solve any quadratic equation is aided by the quadratic formula. First, we change the equation's form to read as ax2+bx+c=0, where a, b, and c are the coefficients. As a result, we enter these coefficients into the formula: (-b(b2-4ac))/(2a). See illustrations of how the formula can be used to solve various equations.
Ax2 + bx + c = 0 is the form of a quadratic equation, which is an expression in second-degree algebra. Square-sounding "quad" is the root of the term "quadratic," which signifies "quadratic." An "equation of degree 2" is another way to describe a quadratic equation. A quadratic equation is utilised in a wide variety of situations.
For 2nd order polynomial equations of the type an x 2 + b x + c = 0, the quadratic formula is an equation that is employed.
Quadratic Formula
ax^2+bx+c=0
When a 0 x = the unknown,
a, b, and c are known numbers.
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Equation of the quadratic form: ax²+bx+c=0.
Explain about the Quadratic Equation?Our ability to solve any quadratic equation is aided by the quadratic formula. First, we change the equation's form to read as ax²+bx+c=0, where a, b, and c are the coefficients. As a result, we enter these coefficients into the formula: (-b(b²-4ac))/(2a).
Ax² + bx + c = 0 is the form of a quadratic equation, which is an expression in second-degree algebra. Square-sounding "quad" is the root of the term "quadratic," which signifies "quadratic." An "equation of degree 2" is another way to describe a quadratic equation. A quadratic equation is utilised in a wide variety of situations
For 2nd order polynomial equations of the type an x² + b x + c = 0, the quadratic formula is an equation that is employed.
Quadratic Formula
ax²+bx+c=0
When a 0 x = the unknown,
a, b, and c are known numbers.
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The least squares regression line model below shows the price of a barrel of oil and the economic growth Econ Growth =−5.132+0.0912∗(PriceOil)
a. the model given predicts that the economic growth based on a barrel of oil priced as $55 is approximately _______
b. if in fact economic growth based on a barrel of oil priced as $55 is equal to 0.3, the residual is _____ which indicates that we have______
a. The model predicts that the economic growth based on a barrel of oil priced at $55 is approximately -5.132 + 0.0912 * 55 = 3.8012.
b. The residual is 0.3 - 3.8012 = -3.5012, which indicates that the model is overestimating the economic growth based on a barrel of oil priced at $55. The negative value of the residual suggests that the model needs to be refined in order to provide more accurate predictions.
The least squares regression line model is used to find the best-fit line that minimizes the sum of the squared differences between the observed and predicted values.
The residual is the difference between the actual and predicted values for a given data point. In this case, the residual of -3.5012 suggests that the model is overestimating the economic growth based on a barrel of oil priced at $55.
To improve the accuracy of the model, we could consider additional factors that may impact the relationship between oil price and economic growth, or use different regression techniques to better fit the data.
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Write an exponential function for the graph. Write the function in the form y = a(b)*. W AYA O X please l need help
The exponential function for the graph at the end of the answer is defined as follows:
y = -1.5(2)^x.
How to model the exponential function?The definition of an exponential function is given as follows:
y = ab^x
In which the parameters are defined as follows:
a is the value of y when x = 0.b is the rate of change, that is, by how much y is multiplied when x is increased by one.When x = 0, y = -1.5, hence the parameter a is given as follows:
a = -1.5.
When x = 2, y = -6, hence the parameter b is obtained as follows:
-1.5b² = -6
b² = 4.
b = 2.
Then the function is defined as follows:
y = -1.5(2)^x.
Missing InformationThe function is given by the image presented at the end of the answer.
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Please help me with the following question.
The probability that the disposal of such capacitors can be regulated is
0.2266.
What is z-score?A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values.
Standard deviations from the mean are used to measure Z-score. A Z-score of zero means the data point's score is the same as the mean score.
Given:
Population mean μ = 47.9
Standard deviation σ = 5
Sample size n = 39
Event to compute its probability [tex]\bar X[/tex] = [tex]\bar X[/tex] ≥ 48.5.
z = X₁ - μ / σ /√n
Substituting the values,
z = (48.5 - 47.9)/5 / √39
z = 0.6 / 0.800640769.
z = 0.75
From the normal distribution table,
the probability can be calculated as,
P = Pr (Z > 0.75)
P = 1 - 0.7734
P = 0.2266
Therefore, the probability is 0.2266.
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Trisha has a job walking 13 dogs for her neighbors. She can walk one, two, or three dogs on each trip to the park. What is the fewest number of trips Trisha takes to walk all 13 dogs?
The fewest number of trips Trisha takes to walk all 13 dogs is of
Five trips.
How to obtain the fewest number of trips?The fewest number of trips is obtained applying the proportions in the context of this problem.
To minimize the number of trips, we must maximize the number of trips with three dogs, hence:
13/3 = 4 with a remainder of 1.
Hence she needs five trips, divided as follows:
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Please help urgent !! I just need the quotient
On solving the provided question we can say that the equation when factorization we have is (4x³ - 6x³ + 6x - 7)/(-2x + 3) on diving we will have, the quotient will be (-2x² + 6x -7)/(-2x + 3).
what is factorization?A number or other mathematical object is factored, or written as the product of numerous factors—typically smaller or simpler things of the same kind—in mathematics. For instance, the integer 15 is factorized as 3 5, which is the factorization of the polynomial x² – 4. Factorization in mathematics refers to the breakdown of a number into smaller numbers that are multiplied together to produce the original number. Factorization is the division of a number into its factors or factors. 12 is multiplied by 3 and 4 as an example.
the equation we have is
(4x³ - 6x³ + 6x - 7)/(-2x + 3)
on diving we will have
(-2x² + 6x -7)/(-2x + 3)
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Determine the area of a trapezoid (in square inches) if it has parallel sides of length 10 inches and 14 inches and height 16 inches between the parallel sides.
112 square inches make up the ABCD figure.
What is meant by trapezoid?A trapezoid, also referred to as a trapezium, is an open, flat object with 4 straight sides and 1 set of parallel sides. A trapezium's bases are its parallel sides, while its legs are its non-parallel sides. Parallel legs are another option for a trapezium.There are two opposing explanations on what a "trapezoid" is: The only accepted definition of a trapezoid specifies that it has exactly one set of parallel opposed sides. A trapezoid has at least one set of parallel opposite sides, according to the inclusive definition.The area of trapezoid is given by :Area [tex]$=\frac{1}{2} \times(a+b) h$[/tex], where h is the trapezoid's height and a and b are the parallel opposite sides.
The area of trapezoid A B C D with height 7 inches and opposite parallel sides 14 inches and 18 inches is calculated from the provided image by:-
[tex]& \text { Area }=\frac{1}{2} \times(14+18) 7 \\[/tex]
[tex]& \Rightarrow \text { Area }=\frac{1}{2}(32)(7) \\[/tex]
[tex]& \Rightarrow \text { Area }=16 \times 7 \\[/tex]
[tex]& \Rightarrow \text { Area }=112 \text { inches }^2[/tex]
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Which equation could be solved using this application of the quadratic formula?
-8√82-4(3) (-2)
2(3)
x=
OA.
B.
OC.
OD.
-2x² - 8 = 10x - 3
3x² - 8x - 10 = 4
3x² + 8x - 10 = -8
2x² + 8x - 3 = 4
3(2×1 + 3) - 4(1×3) + 3² =
Answer: The answer is 12
Step-by-step explanation:
A farmer wants to make a rectangular field with a total area of 2500 square meters. it is surrounded by a fence. it is divided into 3 equal areas by fences as shown. Express the total length L of all the fence required in terms of the length x of one of the fences which divide the field.
The fence's shortest overall length is 808 meters.
Describe the rectangle.
A quadrilateral having all four interior angles at 90 degrees is a rectangle.
Given that the square field has an area of 800 m2.
Let the rectangle's length and breadth be x and y.
The rectangle's area is then:
A= xy
Or, xy = 800
x = 800/y (1) (1)
The triangle's perimeter is:
2x +2y
The total length of the fence is equal to the perimeter of the triangle plus twice the length or width of the triangle since the fence divides the triangle into three equal portions.
Consequently, the fence's overall length is:
L = 2x + 2y + 2x
L = 4x +2y
the equation above with x = 800/y as a replacement:
L = 4(800/y) + 2y
L = 3200/y +2y (2)
Differentiate the equation with respect to y:
L' = -3200/y² +2
Substitute L'= 0 into the above equation:
0 = -3200/y² + 2
y² = 3200/2
y² = 1600
y = 400
Substitute y = 400 into equation (2):
L = 3200/400 + 2(400)
L = 8 + 800
L = 808
Hence, The fence's shortest overall length is 808 meters
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a medical researcher wants to determine whether exercising can lower blood pressure. she recruits 100 people with high blood pressure to participate in the study. she assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. she assigns the other 50 to refrain from vigorous activity. she measures the blood pressure of each of the 100 individuals both before ad after the study. press space or enter to grab observational study a medical researcher wants to determine whether exercising can lower blood pressure. at a health fair he measures the blood pressure of 100 individuals and interviews them about their exercise habits. he divides the individuals into two categories: those whose typical level of exercise is low and those whose level of exercise is high. press space or enter to grab randomized experiment to determine the effectiveness of a new pain reliever a randomly chosen group of pain sufferers is assigned to take the new drug and another randomly chosen group is assigned to take a placebo. press space or enter to grab randomized experiment to assess the effectiveness of a new method for teaching arithmetic to elementary school children a simple random sample of 30 first graders was taught with the new method and another simple random sample of 30 first graders was taught with the currently use method. at the end of eight weeks the children were given a test to assess their knowledge. the press space or enter to grab observational study researchers examine the association between the fluoridation of water and the prevention of tooth decay by comparing the prevalence of tooth decay in countries that have fluoridated water with the prevalence in countries that do not.
The study described is a randomized experiment.
A randomized experiment is a typical experimental study design. It is a study design in which the researcher or investigator is in complete control of the research environment. For example, an investigator may wish to assess the effects of certain treatments on some experimental units.
The investigator decides the type of treatment, the type of experimental unit to use, and the allocation and assessment procedures of the treatments and effects, respectively, while in an observational study, the researcher or investigator is usually a passive observer as he only observes and analyses facts and events as they occur naturally.
In experimental studies, the researcher is in complete control of the exposure, and the result should therefore provide stronger evidence of an association or lack of association between exposure and a health problem than would an observational study.
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"Determine whether the study described below is a randomized experiment or an observational study.
A medical researcher wants to determine whether exercise can lower blood pressure. She recruits 100 people with high blood pressure to participate in the study. She assigns a random sample of 50 of them to pursue an exercise program that includes daily swimming and jogging. She assigns the other 50 to refrain from vigorous activity. She measures the blood pressure of each of the 100 individuals both before and after the study."--
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Triangle ABC is defined by the points A(2,9), B(8,4), and C(-3,-2). Complete the following equation for a line passing through point C and perpendicular AB.
The equation of the line passing through point C and perpendicular to line AB is: y = -6/5x - 20/5 + 2
Describe slope using an example.The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b). For instance, the slope and y-intercept of the equation y = 3x - 7 are 3 and 0, respectively.
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) and (x2, y2) are the coordinates of two points on the line. Using the coordinates of points A and B, we have:
m = (4 - 9) / (8 - 2) = -5 / 6
The slope of a line perpendicular to this line would be the negative reciprocal of this slope, so:
m= -1 / m = -6 / 5
Next, we can use the point-slope form of a line to find the equation of the line, which is:
y - y1 = m * (x - x1)
Substituting the values for m, x1, and y1 (where x1 and y1 are the coordinates of point C), we have:
y - (-2) = -6/5 * (x + 3)
Simplifying and solving for y, we get:
y = -6/5 * x - 20/5 + 2
So, the equation of the line passing through point C and perpendicular to line AB is: y = -6/5x - 20/5 + 2
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A bag has six balls labeled abcdef and ball will be randomly picked and it’s letter will be recorded as the outcome. Give the sample space describing all possible outcomes. Then give all the outcomes for the event of choosing c to f.
The required sample space randomly picked balls S = {A, B, C, D, E, F} and the outcomes for the event of choosing c to f is S' = {C, D, E, F}.
What is set?Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.
here,
For six ball sample space is given as,
S = {A, B, C, D, E, F}
n(s) = 6
Now,
Sample space choosing a ball at a time =
n(s) = 6
Outcomes for the event of choosing c to f.
From C to F there are 4 balls,
Sample space = {C, D, E, F}
n(S') = 4
Thus, the required sample space randomly picked balls S = {A, B, C, D, E, F} and the outcomes for the event of choosing c to f is S' = {C, D, E, F}.
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let x(t)=e^(30pi it/7) be a signal the frequency of x(t) is
a) 30/7
b) 15/7
c) 7/15
d) signal not perijdic
Answer:
b) 15/7
Step-by-step explanation:
The frequency of a signal is a measure of how often the signal repeats over time. In this case, x(t) is a complex exponential signal, represented by the equation x(t) = e^(30πit/7). The variable "t" represents time, and the variable "i" represents the imaginary unit, which is equal to the square root of -1.
The "30πi" term in the exponent represents the angular frequency of the signal, which is a measure of how rapidly the signal oscillates. The "t/7" term in the exponent represents the time scaling of the signal, which determines how quickly or slowly the signal repeats over time.
When we combine these two factors, we can see that the signal repeats every 7 units of time. Therefore, the frequency of the signal is 1/7, which is equivalent to 15/7 in decimal form. Therefore the answer is (b) 15/7
find equivalent expressions of 3+2x-9-4x+11+5x-x
Answer:
3 - 4x + 2x + 11 + 5x - 9 - x = 3 + (2x - 4x) + (5x - x) + 11 - 9 = 3 + -2x + 4x + 11 - 9 = 3 - 2x + 2 = -2x + 5
A pyramid is composed of six isosceles triangles and a hexagonal base. Each isosceles triangle has a height of 8 inches and a base of 6 inches. The area of the hexagonal base is 93.5 square inches. What is the surface area of the pyramid? Enter your answer in the box. in²
The surface area of the pyramid is A = 265.23 inches²
What is the surface area of the pyramid?The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid
Surface Area of Pyramid = B + ( 1/2 ) ( P x h )
Given data ,
Let the surface area of hexagonal pyramid be represented as A
Surface area of hexagonal pyramid = Area of base + area of lateral surface
Area of the base = 93.5 inches²
Now , the Area of the lateral surface = 3a √ ( h² + ( 3a²/4 ) )
where a = 6 inches
h = 8 inches
Substituting the values in the equation , we get
Area of the lateral surface = ( 3 x 6 ) √ ( 64 + ( 3 x 36 / 4 ) )
On simplifying the equation , we get
Area of the lateral surface = 171.7 inches²
So , Surface area of hexagonal pyramid = Area of base + area of lateral surface
Surface area of hexagonal pyramid A = 93.5 inches² + 171.7 inches²
Surface area of hexagonal pyramid A = 265.23 inches²
Hence , the surface area of hexagonal pyramid is 265.23 inches²
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How do I combine 4x and 1/2x in the problem 4x-3+1/2x ?
Not getting how 4x and 1/2x turns to 9/2x
Answer:
Step-by-step explanation:
[tex]4x+\frac{1}{2}x = (4+\frac{1}{2} )x[/tex]
[tex]=(\frac{8}{2} +\frac{1}{2} )x[/tex]
[tex]=\frac{9}{2}x[/tex]
Which city has a population under 500,000?
Answer:
give a list and then I can help
Answer:
Bangalore
Step-by-step explanation:
new York..
make me brainleast
A man standing at the roof of a house finds the angle of depression to an object on the ground level as 45° If the distance between the base of the house to the object is 18√2 m, find the height of the house.
Answer:
Step-by-step explanation:
Let the height of the house be "h".
Using the triangle formed by the object, the man, and the base of the house, and using the tangent function, we have:
tan(45°) = h / 18√2
h = (18√2) * tan(45°)
Since tan(45°) = 1,
h = 18√2 * 1 = 18√2 m
So the height of the house is 18√2 meters.
18√2 can be simplified to:
18 * √2 = 18 * 1.414 = 25.656 (approximately)
The coordinates of the endpoints of AB are A(–4,8) and B(8,2). Its midpoint is C.
What are the coordinates of C?
The required coordinate of the midpoint C is given as (2, 5), as per the given conditions.
What is the midpoint?Midpoint is that point on the line whose distance from both ends of the line is equal.
Here,
The coordinates of the endpoints of AB are A(–4,8) and B(8,2).
Let the coordinate of point C be (x, y)
Now,
x = x₁ + x₂ / 2 ; y = y₁ + y₂/2
Substitute value in the above expression,
x = -4 + 8 / 2 ; y = 8 + 2 / 2
x = 2 , y = 5
Thus, the required coordinate of the midpoint C is given as (2, 5), as per the given conditions.
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Please help me out, thanks
Answer:
d
Step-by-step explanation: using logic of dimension analysis , since y represent distance and x represent hours of traveling in train means time then 60 must be speed for equality i.e distance traveled by train per hour , for correcting dimensionaly
An report describes a survey of 251 adult Americans. Participants in the survey were asked how often they change the sheets on their bed and were asked to respond with one of the following categories: more than once a week, once a week, every other week, every three weeks, or less often than every three weeks. For this group, 11% responded more than once a week, 51% responded once a week, 26% responded every other week, 5% responded every three weeks, and 7% responded less often than every three weeks.
(a) Use the given information to make a relative frequency distribution for the responses to the question. How Often? Relative frequency
More than once a week Once a week Every other week Every three weeks Less often than
every three weeks
More than once a week: 0.11
Once a week: 0.51
Every other week: 0.26
Every three weeks: 0.05
Less often than every three weeks: 0.07
Relative Frequency Survey ResultsTo make a relative frequency distribution, follow these steps:
Count the number of occurrences of each category in the data. In this case, 11% of the 251 participants responded "more than once a week", so the number of occurrences for this category is 0.11 * 251 = 27.61 (rounded to 28). Similarly, 51% of the participants responded "once a week", so the number of occurrences for this category is 0.51 * 251 = 127.51 (rounded to 128). And so on for the other categories.
Divide the number of occurrences for each category by the total number of participants. In this case, the total number of participants is 251, so the relative frequency for "more than once a week" is 28 / 251 = 0.11. The relative frequency for "once a week" is 128 / 251 = 0.51. And so on for the other categories.
And that's it! These are the relative frequencies for each category in the data.
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d (x) = -(x+7)^(2) +9
domain =
function =
The domain of d(x) = -(x+7)^2 + 9 are the set of all real numbers and the function is d(x) = -(x+7)^2 + 9
How to determine the domain and the function?from the question, we have the following parameters that can be used in our computation:
d(x) = -(x+7)^2 + 9
This means that the function is d(x) = -(x+7)^2 + 9
There is no restriction on the input values, x
So, the domain of d(x) = -(x+7)^2 + 9 is all real numbers, since there is no restriction on the input (x).
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Anyone know the answer
Based on the graph above, estimate to one decimal place the average rate of change from
The average rate of change from x=1 to x=5 is -1.325.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
at x=1 the value of y is 8.5
x=5 the value of y is 3.2
slope=3.2-8.5/5-1
=-5.3/4
m=-1.325
Hence, the average rate of change from x=1 to x=5 is -1.325.
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