The purpose of statistical inference population based upon information obtained from the sample.
What is statistical inference?statistical inference uses sample data to make estimates of or draw conclusions about one or more characteristics of a population.
The purpose of statistical inference is to estimate this sample to sample variation or uncertainty. Understanding how much our results may differ if we did the study again, or how uncertain our findings are, allows us to take this uncertainty into account when drawing conclusions. It allows us to provide a plausible range of values for the true value of something in the population, such as the mean, or size of an effect, and it allows us to make statements about whether our study provides evidence to reject a hypothesis.
We have four ideas for using the statistical inference.
1. Estimating uncertainty.
2. Confidence intervals.
3. Hypothesis tests.
4. Connections with other material.
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The given question is not complete.
The purpose of statistical inference is to make estimates or draw conclusions about a population based upon information obtained from the sample.
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Using the following table determine the probability a person tests positive who does not actually have Tuberculosis.
Using it's concept, the probability a person tests positive who does not actually have Tuberculosis is:
c. 49/148.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 198 + 98 = 296 people who test positive, which is the number of total outcomes, and of those, 98 do not have the disease, which is the number of desired outcomes. Hence the probability is given by:
p = 98/296 = 49/148.
Which means that option c is correct.
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The probability a person tests positive who does not actually have Tuberculosis is 1/100
How to determine the probability a person tests positive who does not actually have Tuberculosis?The probability is given as:
The probability a person tests positive who does not actually have Tuberculosis.
This is a conditional probability, and it can be calculated using
P = n(Tests positive | Does not have Tuberculosis)/n(Does not have Tuberculosis)
Using the given table of values, we have:
P = 98/9800
Evaluate the quotient
P = 1/100
Hence, the probability a person tests positive who does not actually have Tuberculosis is 1/100
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A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in. a regular octagon has an apothem with length 10 centimeters and a perimeter of 66.3 inches. what is the area of the octagon, rounded to the nearest square inch?
331.5 inches² is the area of the octagon, rounded to the nearest square inch.
What is octagonal in shape?
In geometry, an octagon is a polygon that has 8 sides and 8 angles. All the sides are joined end to end to form the shape of the octagon. The sum of the interior angles of an octagon is equal to 180 degrees.Solving for an area of a regular octagon, we can make use of the formula shown below:
Area = 1/2 × apothem × perimeter
In this problem, the following values were given such as:
Apothem = 10 inches
Perimeter = 66.3 inches
Put the values in the formula
Area = 1/2 × 10 × 66.3
Area = 331.5 inches²
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Answer: C). 332 in.2
Step-by-step explanation:
on edg
if a function representing distance (feet) as a function of time (minutes), what does f(30) represent in terms of the situation?
The interpretation of f(30) is the distance travelled after 30 minutes
How to interpret the function value?The function is given as:
A function representing distance (feet) as a function of time (minutes),
This means that, the dependent variable is the distance and the time is the independent variable
This in other words means that:
x = time
f(x) = distance
So, the interpretation of f(30) is:
The distance travelled after 30 minutes
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What is the first step in solving a2−5=−2?
To solve the given quadratic equation, a² - 5 = -2, the first step we need to do is to represent it in the standard form by adding 2 to both sides.
A quadratic equation is solved using the quadratic formula, [tex]x = \frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex], when the equation is in the standard form, ax² + bx + c = 0, where, a, b, and c, are real numbers.
In the question, we are asked for the first step in solving a² - 5 = -2.
We can see that the provided equation is quadratic in the variable a.
To solve, the equation, we first need to represent the given equation in the standard form, ax² + bx + c = 0, where, a, b, and c, are real numbers.
To represent it in the standard form, we add 2 to both sides of the equation, to get a² - 5 + 2 = -2 + 2, or, a² - 3 = 0, which is a standard quadratic equation in the variable a.
Thus, to solve the given quadratic equation, a² - 5 = -2, the first step we need to do is to represent it in the standard form by adding 2 to both sides.
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On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.
Correct option is D) and E)
(3,7π/6),(3,11π/6)
What is Point of intersection?Point of intersection is the point where two lines or two curves meet each other.
The point of intersection of two lines of two curves is a point.
If two planes meet each other then the point of intersection is a line.
The term "point of intersection" refers to the intersection of two lines. The equations a1x+b1y+c1=0 and a2x+b2y+c2=0, respectively, are used to represent these two lines. The two lines' intersection point is shown in the following figure. The intersection of three or more lines can also be located.
According to the given information:let
5 + 4 sin(θ) = −6 sin(θ)
Then get
θ= -1/2
Then you can make it
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I understand that the question you are looking for is:
On the interval [0, 2π), which points are intersections of r = 5 4 sin(θ) and r = −6 sin(θ)? check all that apply.
A) -3,7/6
B) (-3,11/6)
C) (3,7/6)
D) (3,11/6)
PLEASE HELP IM STUCK ON THIS
Pick 2 coordinates:
I choose first & last one (0,15) & (8-9)
Change in y is 24
(15--9 = 24)
Change in x is 8
(0 - 8) = - 8
24/-8 = - 3
So, slope = - 3
Hope this helps!
Answer:
-3
Step-by-step explanation:
The formula to find the slope is (change in y)/(change in x). In other words, rise over run.
If we look at the data, we can see that the x and y value changes.
x value: 0 --> 2 --> 4 --> 6 --> 8
y value: 15 --> 9 --> 3 --> -3 --> -9
When y changed from 15 to 9, the x changed from 0 to 2.
y: 15 --> 9
x: 0 --> 2
There was a difference of -6 in the y and a difference of 2 in the x.
At the top, I wrote that the slope was (change in y)/(change in x)
With -6 and 2 we found, we can say that the slope is -6/2.
If we simplify this answer, we end up with -3.
So -3 is the slope of the data.
Question 3
What's the height of a cone if the volume is 562 cubic inches and the radius is 5 inches.
O 72.05 units
O 120.62 units
O21.47 units
O38.90 units
Previous
[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=562\\ r=5 \end{cases}\implies 562=\cfrac{\pi (5)^2 h}{3}\implies 1686=25\pi h \\\\\\ \cfrac{1686}{25\pi }=h\implies 21.47\approx h[/tex]
Add 77 -10 with its additive inverse.
Answer: 77 - 10 = 67, and the additive inverse of 77 - 10 is 77 + 10. 77 + 10 = 87.
Hope this helps! This question was kind of confusing for me, because I didn’t understand why you said to add 77 - 10… is this is the incorrect answer sorry your question was worded weird
Given that y is inversely as x+3 and that y=4 when x =2 (a)express y in terms of x (b)find the value of y when x =5 .
a. Expressing y in terms of x, y = 20/(x + 3)
b. When x = 5, the value of y is 2.5
The question has to do with inverse variation.
What is inverse variation?Inverse variation is variation in which one quantity varies inversely as the other.
a. How to express y in terms of x?Given that y is inversely as x + 3 and that y = 4 when x = 2.
Since y varies inversely as x + 3, we have
y ∝ 1/(x + 3)
y = k/(x + 3)
When y = 4, x = 3. So
y = k/(x + 3)
4 = k/(2 + 3)
4 = k/5
k = 4 × 5
k = 20
So, y = k/(x + 3)
y = 20/(x + 3)
So, expressing y in terms of x, y = 20/(x + 3)
b. Find the value of y when x = 5.Since y = 20/(x + 3)
Substituting x = 5 into the equation, we have
y = 20/(x + 3)
y = 20/(5 + 3)
y = 20/8
y = 5/2
y = 2.5
So, when x = 5, the value of y is 2.5
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A laundry detergent company wants to determine if a new formula of detergent, a, cleans better than the original formula, b. researchers randomly assign 500 pieces of similarly soiled clothes to the two detergents, putting 250 pieces in each group. after washing the clothes, independent reviewers determine the cleanliness of the clothes on a scale of 1–10, with 10 being the cleanest. the researchers calculate the proportion of clothes in each group that receive a rating of 7 or higher. for detergent a, 228 pieces of clothing received a 7 or higher. for detergent b, 210 pieces of clothing received a rating of 7 or higher. based on the 90% confidence interval, (0.02, 0.12), is there convincing evidence that the new formula of laundry detergent is better? there is convincing evidence because the interval is entirely above 0. there is not convincing evidence because the sample sizes are too small. there is convincing evidence because the number of clothing items receiving a higher rating is greater for the new formula than for the original formula. there is convincing evidence because the sample proportion of clothes receiving a higher rating is greater for the new formula than the original formula.
In the hypothesis, based on the 90% confidence interval, (0.02, 0.12), there is convincing evidence that the new formula of laundry detergent is better because the interval is entirely above 0
How to illustrate the information?Let's define the null hypothesis and alternative hypothesis first.
H0:p1-p2=0
Ha:p1-p2>0
Also, 90% CI is (0.02,0.12), we know that if the 0 of the null hypothesis is not in the confidence interval then we reject the null hypothesis.
In the given scenario 0 is not within the given interval, hence we reject the null hypothesis and accept the claim that new detergent A cleans better.
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Out of total 47 observation arranged in ascending order, the 12th and 13th observation are 25 and 30 respectively. What is the value of Quartile 1
Answer: i believe the answer is 26
Step by step explanation
Total no. of observation = (12+13) = 25
Median = Average of 18/2 observation + (18/2+1)
=1/2 (12th observation + 13 observation)
1/2 × (25 +27) = 1/2 × 52
=26
A deli sells sliced meat and cheese. One customer purchases 4 pounds of meat and 5 pounds of cheese for a total of $30.50. A sandwich shop owner comes in and purchases 11 pounds of meat and 14 pounds of cheese for $84.50. The system of equations below represents the situation.
4x + 5y = 30.50
11x + 14y = 84.50
The variable x represents the
The variable y represents the
The deli charges $
The quantity of meat and cheese sold by the deli according to the description accounts in the task content are; 4.5 and 2.5 pounds respectively.
What is the quantity of meat and cheese sold by the deli?The quantity of meat sold by the deli as represented by the variable X in the task content can be calculated by solving the systems of equations.
The quantity of cheese sold by the deli as represented by the variable y in the task content can be calculated by solving the systems of equations.
Consequently, solving the system of equations by means of substitution, we have;
y = (30.50-4x)/5
Hence, we have;
11x + 14((30.50-4x)/5) = 84.50
x = 4.5 pounds of meat and
y = 2.5 pounds of cheese.
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Algebra
x^3- 2x^2 + x
Answer:
x(x-1)^2
Step-by-step explanation:
x(x^2-2x+1)
x(x-1)(x-1)
(x-1)(x-1)=(x-1)^2
3x 2y = 4 2x - y = 5 this system of equations has no solution. has one solution. is coincident.
Answer:
no solution
Step-by-step explanation: because if it has no variables that are the same it has no solution.
Which algebraic expression represents the following: the sum of four times a number and six? (1 point) 4x + 6
The algebraic expression of the statement is 4x + 6
How to determine the algebraic expression?The statement is given as:
The sum of four times a number and six
Rewrite as:
The sum of 4 times a number and 6
Let the number be x
So, we have
The sum of 4 times x and 6
Evaluate the product
The sum of 4x and 6
Evaluate the sum
4x + 6
Hence, the algebraic expression of the statement is 4x + 6
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How many ways are there to select five unordered elements from a set with three elements when repetition is allowed?
The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.
According to the given question.
The total number of elements, n = 3
The number of elements to be selected at a time when repetition is allowed, r = 5
Since, we know that " the number of ways or permutations of n things taken r all at a time, when repetition of things are allowed, is [tex]n^{r}[/tex].
Therefore,
The number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed
= [tex]3^{5}[/tex]
= 243
Hence, the number of ways or permutations to select five unordered elements from a set with three elements when repetition is allowed is 243.
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Please help
Rewrite in index notation and then differentiate. Answer in the same form as the question.
[tex]y=-5x^2 \sqrt{x}[/tex]
I think that [tex]y=-5x^2(x)^\frac{1}{2}[/tex]
is the first part rewriteing in index notation if u could tell me if I am right then differentiate just show each step as I know how to differentiate I just for some reason can get this question right.
Answer:
I hope I've finally done justice to it.
Step-by-step explanation:
[tex]y=-5x^2 \sqrt{x}[/tex]
[tex]y=-5x^2(x)^\frac{1}{2}[/tex]
[tex]y=-5( {x}^{2 + \frac{1}{2} }) = - 5 {x}^{ \frac{5}{2} } [/tex]
[tex] \frac{dy}{dx} = - 5( \frac{5}{2}) {x}^{ \frac{5}{2} - 1 } [/tex]
[tex]\frac{dy}{dx} = ( \frac{ - 25}{2}) {x}^{ \frac{3}{2} } [/tex]
[tex]\frac{dy}{dx} = ( \frac{ - 25}{2}) \sqrt[3]{ {x}^{2} } [/tex]
0.7 as a fraction or mixed number
Geometry: fill in the blanks (ASAP!! It’s urgent)
5. m∠C = 95°
6. m∠C = 70°
7. The other acute angle in the right triangle = 70°
8. m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 110°
11. m∠B = 70°
12. m∠Z = 70°
What are Triangles?A triangle is a 3-sided polygon with three sides and three angles. The sum of all its interior angles is 180 degrees. Some special triangles are:
Isosceles triangle: has 2 equal base angles.Equilateral triangle: has three equal angles, each measuring 60 degrees.Right Triangle: Has one of its angles as 90 degrees, while the other two are acute angles.5. m∠C = 180 - 50 - 35 [triangle sum theorem]
m∠C = 95°
6. m∠C = 180 - 25 - 85 [triangle sum theorem]
m∠C = 70°
7. The other acute angle in the right triangle = 180 - 90 - 25 [triangle sum theorem]
The other acute angle = 70°
8. m∠C = 180 - 55 - 55 [isosceles triangle]
m∠C = 70°
9. m∠C = 60° [equilateral triangle]
10. Measure of the exterior angle at ∠C = 50 + 60
Measure of the exterior angle at ∠C = 110°
11. m∠B = 115 - 45
m∠B = 70°
12. m∠Z = 180 - 35 - 75
m∠Z = 70°
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“Eighteen is equal to the product of a number (n) and 9.”
Answer:
n=2
Step-by-step explanation:
Create an equation.
9n=18
Divide 9 from both sides.
9n/9=18/9
n=2
Hope this helps!
HEY PLEASE HELP ASAP
Answer:
[tex]\dfrac{8y-43}{(y-1)(y-8)}[/tex]
Explanation:
[tex]\rightarrow \dfrac{5}{y-1} +\dfrac{3}{y-8}[/tex]
make the denominators similar
[tex]\rightarrow \dfrac{5(y-8)}{(y-1)(y-8)} +\dfrac{3(y-1)}{(y-8)(y-1)}[/tex]
Join both the fraction
[tex]\rightarrow \dfrac{5(y-8)+3(y-1)}{(y-1)(y-8)}[/tex]
simplify the expression
[tex]\rightarrow \dfrac{5y-40+3y-3}{(y-1)(y-8)}[/tex]
[tex]\rightarrow \dfrac{8y-43}{(y-1)(y-8)}[/tex]
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's simplify ~
[tex]\qquad \sf \dashrightarrow \: \cfrac{5}{y - 1} + \cfrac{3}{y - 8} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{5(y - 8) + 3(y - 1)}{(y - 1)(y - 8)} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{5y -40 + 3y - 3}{y {}^{2} - y - 8y + 8} [/tex]
[tex]\qquad \sf \dashrightarrow \: \cfrac{8y -43}{y {}^{2} - 9y + 8} [/tex]
Select the correct answer. daniel has a list of numbers that are not in any order. he wants to find the order of the numbers with the help of a spreadsheet. which statistical function will help him do so? a. mode b. rank c. median d. average
The correct option is B.
Rank
What is Rank function?The RANK function in a Microsoft Excel spreadsheet enables users to order the various pieces of data by their numerical values. By entering an absolute value for the range of cells the user wants to rank, they can also use the rank function. If an absolute value is not specified, the program's auto-formula may cause the rank of the various cells to alter.
What is Spreadsheet?A spreadsheet is a computer program used for organizing, organizing, analyzing, and storing tabular data. Spreadsheets were created as electronic alternatives to paper accounting worksheets. Data typed into table cells serves as the program's input.
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How to find ‘x’ if 8.4 % of ‘x’ is 420.
I will mark the first answerer as brainliest
This is reverse percentage
8.4% = 420
÷8.4 both side
1% is now 50
1% =50
x100
100% is 5000
Check:
8.4/100 = 0.084 our decimal multiplier
5000 x 0.084 = 420
Thus, x is 5000
Hope this helps!
7-3(10 divided by 2) divided by 1
Answer:
-8
Step-by-step explanation:
Remember pemdas
7 - 3*(10:2):1 =
7-3*5:1=
7-15:1=
7- 15=
-8
Answer:
-8
Step-by-step explanation:
7-3(10:2):1
We always solve what's in parenthesies first.
7 - 3*5:1
Multiplication and division have equal priority, so we solve that part from left to right:
7 - 15:1 =
= 7 - 15 =
= -8
The motion of an object was recorded by measuring the velocity of the object in meters per second at various times, as shown in the table. The scatterplot below was graphed from the data in the table, where t represents the time, and v represents the velocity. Based on the scatterplot, which equation BEST represents the relationship between velocity and time?
The equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
In the question, we are asked to find the equation of the line of BEST FIT for the given scatter plot.
We let the time be the independent variable x, and velocity is the dependent variable y.
We find the line of best fit using the least square method.
First, we calculate the mean:
of time (x), μ(x) = (0 + 2.1 + 5.3 + 8.2 + 10.0 + 12.1)/6 = 6.283333,of velocity (y), μ(y) = (6.1 + 12.2 + 17.4 + 26.4 + 28.1 + 32.8)/6 = 20.5.Now, we find the slope of the line of best fit, using the formula:
m = {∑(x - μ(x))(y - μ(y))}/{∑(x - μ(x))²}.
Taking value from the tables, which is attached, we get:
m = 239.35/109.2683333 = 2.190479096.
Now, we calculate the y-intercept of the line of best fit, using the formula:
b = μ(y) - m.μ(x),
or, b = 20.5 - 2.190479096*6.283333 = 6.736489681.
Now, the equation of the line of best fit, in the form of y = mx + b, can be written as, y = 2.190479096x + 6.736489681, which on approximation, and making y as v, the velocity, and x as t, the time, we get: v = 2.19t + 6.7.
Thus, the equation of the line of best fit, using the least square method is v = 2.19t + 6.7, making the 2nd option as the right choice.
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Select the correct answer from each drop-down menu.
The number of three-digit numbers with distinct digits that can be formed using the digits 1, 2, 3, 5, 8, and 9 Is
.The probability
that both the first digit and the last digit of the three-digit number are even numbers is
Reset
Next
Using it's concept, we have that the probability that both the first digit and the last digit of the three-digit number are even numbers is 2/27.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
Considering that there are six numbers, out of which 4 are odd and 2 are even, we have that:
The first and last digits are even with 2/6 = 1/3 probability.The second digit is odd with 4/6 = 2/3 probability.Hence the desired probability is:
p = 1/3 x 2/3 x 1/3 = 2/27.
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Pls Help!!!!! I will give brainliest!!!!!
Answer:
Step-by-step explanation:
The equation of a circle in standard form is (x - h)² + (y - k)² = r² ,
where (h, r) are coordinates of a center of a circle and "r" is a radius of a circle.
a² ± 2ab + b² = (a ± b)²
~~~~~~~~~~
x² + y² - 2x - 10y + 17 = 0
To rewrite the equation in standard form, need to group terms with the same variables, move the constant to the right side and complete the square for each grouping:
(x² - 2x) + ( y² - 10y) = - 17
( x² - 2x + 1 ) + ( y² - 10y + 25 ) = - 17 + 1 + 25
( x - 1 )² + ( y - 5 )² = 9
( x - 1 )² + ( y - 5 )² = 3²
The center of the given circle is
( 1 , 5 )
The radius of the given circle is
3 units
The tens digit of a two-digit number is 5 greater than the units digit. If you subtract twice the reversed number from the original number, the result is a fourth of the original number. Find the original number
Answer:
The number is 72.
Step-by-step explanation:
Let the number be xy.
x = y + 5
10x + y - 2(10y + x) = 0.25(10x + y)
10x - 2x + y - 20y = 2.5x + 0.25y
5.5x - 19.25y = 0
Substituting for x:
5.5y + 27.5 - 19.25y = 0
-13.75y = -27.5
y = 2.
So x = 2 + 5 = 7.
Two years ago there were 6 grams of a radioactive substance. now there are 5 grams. how much will remain 2 years from now?
The quantity of the radioactive material which would remain 2 years from now is; 4 grams.
What is the quantity remaining in 2 years?Since, it follows from the task content that after two year, the quantity of the radioactive substance decrease by 1 gram. Consequently, it follows from proportion that the quantity remaining in 2 years from now is; 5-1 = 4 grams.
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Subtract.
(3x²+2x9) - (4x² - 6x + 3)
4
Answer:
-13x²+24x+6
Hope this helps:)