Drawing a straight line and adding arrowheads is an easy way to create rays that are useful in geometry and other mathematical applications.
To connect the arrows with a straight line, you simply need to draw a line segment that passes through both arrowheads. This will create a line that extends infinitely in both directions.
To turn the arrows into rays, you can add an arrowhead on one end of the line segment to indicate the direction of the ray. This will create two rays that originate from the same point and extend infinitely in opposite directions.
It is important to note that a ray is named based on the direction in which it travels, so you may need to specify which direction each ray is pointing.
To learn more about : straight line
https://brainly.com/question/25969846
#SPJ11
1. You have 15 apples and 25 oranges. Write the ratio
for the number of apples to oranges.
2. Solve the proportion:
X 10
9
12
=
3. The scale factor for the blueprints for a room is 1 in.
to 12 ft. . If the back wall of the room has the dimension
of 8 in. on the blueprints, how long is the actual length
back wall?
Answer:
3/5 x = 7.5 96 ftStep-by-step explanation:
You want the solutions to various problems involving ratios, proportions, and scale factors.
1. RatioThe ratio of 15 apples ot 25 oranges can be written several ways, with and without units:
15 apples to 25 oranges, or 15 to 25.
Reduced to 3 apples to 25 oranges, or 3 to 5
15 apples : 25 oranges, or 15 : 25
Reduced to 3 apples : 5 oranges, or 3 : 5
15 apples / 25 oranges, or 15/25
Reduced to 3 apples / (5 oranges), or 3/5
2. Proportion
You can solve the proportion ...
x/9 = 10/12
by multiplying both sides by 9:
x = 9·10/12 = 90/12
x = 15/2 = 7.5
3. Scale factorIf each inch represents 12 ft, then 8 inches represents 8·12 ft = 96 ft.
The actual length of the back wall is 96 feet.
#95141404393
f(x) = 3x ^ 2 + 5
g(x) = 4x - 2
h(x) = x ^ 2 - 3x + 1
Find f(x)+ g(x) - h(x).
O 2x ^ 2 + 7x + 2
O 7x ^ 2 + x + 4
O 2x ^ 2 + x + 2
O 5x ^ 2 + 4
[tex]f(x)=3x^2+5\\g(x)=4x-2\\h(x)=x^2-3x+1\\\\f(x)+g(x)-h(x)=3x^2+5+4x-2-(x^2-3x+1)\\f(x)+g(x)-h(x)=3x^2+4x+3-x^2+3x-1\\f(x)+g(x)-h(x)=2x^2+7x+2[/tex]
26. a) Using a ruler and a pair of compens only, construct triang ARC sod that Y cria (B-4.5cm BAC-30 ii) a perpend 48 at M. b) Meas 40 5cm 40-6om and licular from C' to meet Measure: 11 angle ABC in M c) Calculate the area of triangle ABC
The triangle with segments AB=4cm,BC=6 cm and angle ABC=90° is constructed
We follow the certain steps to construct a triangle ABC
Firstly we have to draw a line segment AB = 4 cm and extend till X
By using Compass draw an arc taking B as center intersecting at P & Q on AB & BX
Increasing compass width slightly taking P as center Draw an arc
Now by keeping the same measurements with compass draw arcs taking Q as center such that it intersects arc drawn in step 3 at R
Now draw a line from B passing through R and taking length = 3 cm and mark the other end as C
Now join AC
Construct perpendicular Bisector of AC at O
By taking O as center and radius = OA = OB = OC , draw an circle
To learn more on Triangles click:
https://brainly.com/question/2773823
#SPJ1
Using a ruler and a pair of compasses only,construct
(i) a triangle ABC ,given AB=4cm,BC=6 cm and angle ABC=90°.
(ii) a circle which passes through the points A,B and C and mark its centre as O.
2.2 consider the dimensions of the figure below FIGURE E 2.3 z+y #+y 2.2.1 Calculate the area of figure E in terms of x (4) 2.2.2 Compare the total area of figures A, B, C & D with the area of (2) figure E and draw a conclusion. (6) Answer the following Questions based on the area of figure E 2.3.1 How many terms does the expression have? 2.3.2 What is the coefficient of x²? 2.3.3 What is the coefficient of x? 2.3.4 What is the degree of the expression? 2.3.5 What is the name of the algebraic expression? 2.3.6 Given x = 3;y=-2 determine the value of the expression
The area of the figure E in terms of x is x² + 2xy + y²
The area of each figure is A = x², B = xy, C = y² and D = xyThe number of terms is 3The coefficient of x² is 1The coefficient of x is 2yThe degree of the expression is 2The name is a sum of squaresThe value is 25 if x = 3 and y = 2Calculating the area of figure E in terms of xThe figure is added as an attachment
The dimensions of the figures are
A = x by x
B = x by y
C = y by y
D = x by y
So, we have
Area of A = x²
Area of B = xy
Area of C = y²
Area of D = xy
This means that the area of E is
E = x² + 2xy + y²
From the above, we can see that the expression has 3 terms
Also, we have the coefficient of x² to be 1 and the coefficient of x to be 2y
The degree of the expression is 2
This is because the highest power is 2
The name of the algebraic expression is a sum of squares
Lastly, we have
x = 3 and y = 2
This means that
Area = 3² + 2 * 3 * 2 + 2²
Evaluate
Area = 25
Hence, the value of the expression is 25
Read more about expression at
https://brainly.com/question/4344214
#SPJ1
Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
The three statements that are true include the following:
A. The radius of the circle is 3 units.
B. The center of the circle lies on the x-axis.
D. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
What is the equation of a circle?In Mathematics, the standard form of the equation of a circle is represented by this mathematical expression;
(x - h)² + (y - k)² = r² .......equation 1.
Where:
h and k represents the coordinates at the center of a circle.
r represents the radius of a circle.
Based on the information provided, we have the following equation of a circle:
x² + y² – 2x – 8 = 0 ......equation 2.
In order to determine the true statements, we would rewrite the equation in standard form and then factorize by using completing the square method:
x² – 2x + y² = 8 = 0
x² – 2x + (2/2)² + y² = 8 + (2/2)²
x² – 2x + 1 + y² = 8 + 1
(x – 1)² + (y - 0)² = 9 .......equation 3.
By comparing equation 1 and equation 3, we have the following:
Center (h, k) = (1, 0)
Radius (r) = 3
Additionally, this line and the center of the given circle lies on the x-axis (x-coordinate) because the y-value is equal to zero (0).
(x - 0)² + (y - 0)² = 3²
x² + y² = 9.
Read more on equation of a circle here: brainly.com/question/17028215
#SPJ1
a variable with equal distances between score units which also has a true meaningful zero is:
A variable with equal distances between score units and a true meaningful zero is called a ratio variable.
Ratio variables have the properties of interval variables, meaning that the distances between consecutive values are consistent, and they also have an absolute zero point. The true zero allows for meaningful ratios to be calculated between values. For example, if we have a variable representing weight, a value of 0 indicates the absence of weight, and we can make meaningful statements such as "one object is twice as heavy as another."
Know more about ratio variable here:
https://brainly.com/question/28199525
#SPJ11
PLS HELP! WILL MARK BRAINLYIST!!
1. What do you know about the trigonometric ratios for similar triangles?
2. What is the relationship between the sine and cosine of complementary angles, and why is this relationship true?
3. How do you use trigonometric ratios to solve for a missing side or angle of a right triangle?
Possible answers??
2. The relationship between the sine and cosine of complementary angles is that they are equal. Angles A and B are complementary if: A+B=90.
3. Sineθ=opposite/hypotenuse, cosθ=adjacent/hypotenuse, tanθ=opposite/adjacent.
PLEASE HELP, I DON'T KNOW IF THESE ARE RIGHT
1) Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. 2) The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. 3) trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
What are trigonometric ratios?1. Trigonometric ratios for similar triangles state that the ratios of corresponding sides of similar triangles are equal. Therefore, the ratios of the sine, cosine, and tangent of the corresponding angles in similar triangles will also be equal.
2. The sine and cosine of complementary angles have the property of being not only equal but also complementary to one another. This means that the sine of an angle is equal to its complement's cosine, and vice versa.
3. Using the appropriate formula based on the given information, trigonometric ratios can be used to solve for a missing side or angle of a right triangle.
Learn more about trigonometric ratios at https://brainly.com/question/24349828
#SPJ1
Write an explicit formula that represents the sequence defined by the following recursive formula:
�
1
=
1
and
�
�
=
−
4
�
�
−
1
a
1
=1 and a
n
=−4a
n−1
The explicit formula an=−4n−1 represents the sequence defined recursively by a1=1 and an=−4an−1 for n≥2.
The given sequence is defined recursively as follows: a1=1 and an=−4an−1 for n≥2.
To find the explicit formula for this sequence, we need to express the nth term of the sequence in terms of n without any reference to the previous terms.
Let's write out the first few terms of the sequence to look for a pattern:
a1=1
a2=−4a1=−4
a3=−4a2=16
a4=−4a3=−64
a5=−4a4=256
It seems that each term is obtained by multiplying the previous term by -4. In general, we can write:
an=−4n−1
This is the explicit formula that represents the given sequence. We can check that it satisfies the recursive formula by substituting it into the recurrence relation:
a n =−4a n−1 = −4(-4^(n-2)) = -4^(n-1) = -4n-1
Therefore, the explicit formula an=−4n−1 represents the sequence defined recursively by a1=1 and an=−4an−1 for n≥2.
Know more about explicit here:
https://brainly.com/question/31127733
#SPJ11
20. The table below shows the results of a su
students' favorite school lunches. What fraction of
the students surveyed said that grilled cheese is
their favorite school lunch?
What Is their Favorite
School Lunch?
Answer:
3/10
Their favourite is pizza
Step-by-step explanation:
30% = 30/100
simplified is 3/10
Answer:
3/10
Step-by-step explanation:
1. 30%=3/10
2. The schools favorite lunch is pizza
PLEASE HELPLL question 9
The distance between you and your friend is 61.8 feet.
How to find the side of a triangle?You let 52 feet of string on your kite. Your friend is standing in an unknown distance from you, with the kite flying on air somewhere between you two. From your friend the angle of elevation is 70 degrees. The angle formed at the kite is 64 degrees.
Therefore, the distance between you and your friend can be calculated as follows:
The situation forms a triangle. The distance between them can be found using sine law.
Hence,
a / sin A = b / sin B = c / sin C
Therefore,
52 / sin 70 = b / sin 64
where
b = distance between the two of themTherefore,
52 / sin 70 = b / sin 64
cross multiply
52 sin 64 = b sin 70
b = 52 sin 64 / sin 70
b = 47.8413539862 / 0.77389068155
b = 61.8175709726
b = 61.8 feet
Therefore,
distance between them = 61.8 feet
learn more on triangle here: https://brainly.com/question/30348102
#SPJ1
A(x)=4x^2-5x-3x^3+6
B(x)=3x^3-5x-4+6x^2
1.sort the polynomial A(x),B(x) according to the decreasing power of the variable
2. Calculate N(x)= A(x)+B(x)
Solve by grade 7
Thanks
[tex]A(x)=4x^2-5x-3x^3+6[/tex] and [tex]B(x)=3x^3-5x-4+6x^2[/tex]. Sort the polynomial A(x), B(x) according to the decreasing power of the variable. The final solution for N(x) is;
[tex]N(x)=10x^2-10x+2[/tex]
To type the polynomials A(x) and B(x) in line with the lowering energy of the variable, we want to arrange the phrases in order that the highest diploma term comes first, observed with the aid of the next maximum diploma time period, and so forth. We also want to mix any like phrases which have identical diplomas. For example, A(x) has two terms with degree 2, so we will upload them collectively. Here is how we kind A(x) and B(x):
[tex]A(x) = -3x^3 + 4x^2 - 5x + 6[/tex]
[tex]B(x)=3x^3+6x^2-5x-4[/tex]
To calculate N(x) = A(x) + B(x), we want to feature the corresponding phrases of A(x) and B(x) which have an equal degree. For example, to locate the coefficient of [tex]x^3[/tex] in N(x), we want to add the coefficients of x^three in A(x) and B(x), which might be -3 and +3 respectively. Here is how we calculate N(x):
[tex]N(x)=(-3+3)x^3+(4+6)x^2+(-5-5)x+(6-4)[/tex]
[tex]N(x)=10x^2-10x+2[/tex]
This is the final solution for N(x).
To know more about polynomials,
https://brainly.com/question/4142886
question 12 a common control procedure in a group design is a. recording a brief baseline period. b. random assignment of subjects to groups. c. minimizing the number of subjects used. d. alternating assignment of subjects to groups.
A common control procedure in a group design is b. random assignment of subjects to groups. Random assignment is a crucial step in experimental research designs to ensure that participants have an equal chance of being assigned to different groups. It helps in minimizing the influence of confounding variables and increasing the internal validity of the study.
Random assignment involves assigning participants to different groups (e.g., experimental group and control group) based on chance alone. This process helps ensure that any observed differences between groups after the intervention can be attributed to the independent variable (the variable being manipulated) rather than pre-existing differences between participants.
By randomly assigning participants to groups, researchers can create groups that are statistically equivalent in terms of their characteristics, which allows for better comparison of the effects of the independent variable. Random assignment helps control for potential biases and ensures that any observed differences in the dependent variable (the outcome being measured) can be attributed to the treatment or intervention.
Random assignment also helps reduce the potential for systematic bias, as it minimizes the chances of experimenter bias or self-selection bias influencing the results. It enhances the reliability and generalizability of the findings by providing a more rigorous and unbiased comparison between groups.
Random assignment of subjects to groups is a common control procedure in group designs because it helps ensure the internal validity of the study by reducing confounding variables and increasing the likelihood that any observed differences between groups are due to the treatment or intervention being studied.
Learn more about Random assignment :
https://brainly.com/question/28218462
#SPJ11
In a group trivia game, a team earns 5 points for a correct answer, and -2 points for a wrong answer. There are 15 questions in the game. Let a represent the number of correct answers. Answering gives 30 points!
When x = 8, 26 is the right answer.
We have to given that;
A team in a group trivia game receives 5 points for a right response and -2 points for an incorrect one.
In addition, the game has 15 questions.
Since, We know that;
According to the definition of a mathematical expression, it is a grouping of variables and functions that are created using addition, subtraction, multiplication, and division.
Now, We have find the expression as;
For a team, the correct answer is worth 5 points, and the incorrect response is worth -2 points.
In addition, the game has 15 questions.
Hence, We get;
⇒ 5x - 2 (15 - x)
At x = 8;
⇒ 5 × 8 - 2 (15 - 8)
⇒ 40 - 2 × 7
⇒ 40 - 14
⇒ 26
Thus, The correct solution when x = 8 is,
⇒ 26
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ1
The 3 is the place that is ten times greater than the place where the 5 is.
The 5 is the place that is one hundred times less than the place where the 8 is.
The 2 is in the place that is ten times less than the place where the 8 is.
The 9 is in the place that is ten times greater than the place where the 8 is.
What number is alice writing
The number that Alice is writing is 9,008,352.
We are given that;
Millions Hundred thousands Ten thousands Thousands Hundreds Tens Ones
Now,
To find the number that Alice is writing, you need to identify the place value of each digit based on the clues given. You can use a place value chart to help you. You can write your solution as:
Millions Hundred thousands Ten thousands Thousands Hundreds Tens Ones
3
5
8
2
9
Therefore, by algebra the answer will be 9,008,352.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
The volume of the right cone below is 6217 units. Find the value of x.
Answer:
23
Also correct 7.32pi
Step-by-step explanation:
Which of these correctly describes the shape of the distribution of water bills?
Answer:Roughly Symmetric
Step-by-step explanation:
I'm too lazy
Please help please please help please help please help please help
Help help
Answer:
128 m² 120 cm²Step-by-step explanation:
You want the areas of a kite and a rhombus, given certain segment lengths.
Area formulaThe area of a quadrilateral in which the diagonals cross at right angles can be found from ...
A = (1/2)(d1·d2) . . . . . where d1 and d2 are the lengths of the diagonals.
1. KiteThe vertical diagonal is 6m +10m = 16m. The horizontal diagonal is 8m +8m = 16m.
The area is ...
A = (1/2)(16m)(16m) = 128 m²
The area of the kite is 128 square meters.
2. RhombusEach triangle is a right triangle, so the missing half-diagonal length is ...
d2 = √(13² -5²) = √144 = 12
The area is ...
A = (1/2)(2·5 cm)(2·12 cm) = 120 cm²
The area of the rhombus is 120 square centimeters.
__
Additional comment
You can save the trouble of using the Pythagorean theorem to find the missing rhombus diagonal if you remember the Pythagorean triple {5, 12, 13}. That triple, along with {3, 4, 5}, {7, 24, 25}, {8, 15, 17}, and (9, 40, 41} are among those commonly seen in algebra, trig, and geometry problems.
#95141404393
Does anyone know how to solve this?
A. The distance from the x - axis to the top of the circle is 10.3 feet
B. The equation of the circle is (x - 2)² + (x² - 3)² = 4
C. The equation of the parabola is x = a(y - k)² + h
D. The area of the window is 9.2 ft²
How did we get the value?A. (14.6 - x)² + (4.6/2)² = 10.6 { Pythagores theorem"}
(14.6 - x) + 5.29 = 112.36
(14.6-x)² = 112.36 - 5.29
14.6-x)²= 107.07
(14.6 - x)² = 107.07
X= 213.16 - 107.07
x = 106.09
X=10.3 feet
B. The equation of the circle is (x - 2)² + (x² - 3)² = 4
The equation represents a circle centered at the point (2, 3) with a radius of 2 units, as determined by the standard form equation of a circle:
(x - h)² + (y - k)² = r²
where (h, k) is the center of the circle and r is the radius.
C. The equation of the parabola is x = a(y - k)² + h
D. The area of the window is determined using the following below:
x = a(y - k)² + h, where a is the horizontal stretch or compression factor.
x = 14.6 (10.1 - 4.6)² + 4.6
x = (147.47 - 67.16)² + 4.6
x = 80.31)² + 4.6
x = 84.37²
x = 9.2 ft
learn more about Pythagoras theorem: https://brainly.com/question/343682
#SPJ1
Which of the following statements are true of solving equations?
You are making a good guess at the solution.
You are using inverse operations to isolate the variable.
There are usually two solutions for a linear equation.
The addition property is usually used first.
Order of operations is often done in reverse order.
Answer:
The true statements about solving equations are:
-You are using inverse operations to isolate the variable.
-Order of operations is often done in reverse order.
Answer: the true statements are. you are inverse operations to isolate the variable. the addition property is usually used first. and Order of operations is often done in reverse order
Step-by-step explanation:
an event that increases the probability that a response will be repeated is called _____.
The term that describes an event that increases the likelihood of a response being repeated is known as reinforcement.
Reinforcement can be defined as any consequence that strengthens or increases the probability of a behavior occurring again in the future. This can include positive reinforcement, which involves adding a desirable consequence after a behavior, or negative reinforcement, which involves removing an aversive consequence after a behavior. Both types of reinforcement have been shown to be effective in increasing the likelihood of a behavior being repeated.
Overall, understanding the concept of reinforcement is essential in the field of psychology, particularly in the areas of behaviorism and behavior modification. By providing positive consequences after desired behaviors, individuals can be motivated to continue engaging in those behaviors, which can lead to long-term positive changes. Reinforcement can also be used to shape new behaviors or replace unwanted behaviors with more desirable ones.
To know more about positive changes visit:-
https://brainly.com/question/15411632
#SPJ11
Hello ! My little sister is having a panic attack over her homework, and I decided I wanted to help her, but I have no idea what this means lol. So I would LOVE if someone gave me the answer to this. :) the question: A group of interacting or interdependent elements forming a complex whole is a(n)
The word bank: temperature, potential energy, matter, kinetic energy, states, conduction, system, energy
THANK YOU ! :)
Answer: System
Step-by-step explanation:
The question defined a system.
For future reference
Temperature is a measure of the average kinetic energy of molecules
Potential Energy is a measure of how much energy can be turned into kinetic energy (think a ball about to be dropped)
Matter is a term for stuff, everything is made of matter, atoms and molecules
Kinetic energy is energy in motion (think a falling object)
States are the position or form things are in, this is probably going to be used as "states of matter" (solids, liquids, gasses)
Conduction is the transfer of heat or electricity through two objects touching
Energy is "the ability to do work" think of energy like a general term for potential and kinetic energy, undefined if you ill
Hope this helps
sin theta + cos theta
cos theta (1-cos theta)
Given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ).
Given the expression:
sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ))
Let's simplify this expression step by step:
1. First, recognize that cos(θ) * cos(θ) can be written as cos²(θ). So, the expression becomes:
sin(θ) + cos²(θ) * (1 - cos(θ))
2. Next, we'll distribute cos²(θ) to both terms inside the parentheses:
sin(θ) + cos²(θ) - cos³(θ)
At this point, we have simplified the expression as much as possible. The final expression is:
sin(θ) + cos²(θ) - cos³(θ)
In summary, given the initial expression sin(θ) + cos(θ) * cos(θ) * (1 - cos(θ)), we simplified it to sin(θ) + cos²(θ) - cos³(θ). Remember that this is a general expression and its specific value depends on the angle θ.
For more questions on expression
https://brainly.com/question/13097784
#SPJ11
Evaluate the following expression:
688 + 848 = ?
Answer:
1536Step-by-step explanation:
Evaluating the expression gives:
688 + 848 = 1536Therefore, the value of the expression is 1536.
Simplify.
7/2/2 × 7⁹ = 7 [?]
79
Hello,
kᵃ x kᵇ = kᵃ⁺ᵇ
kᵃ ÷ kᵇ = kᵃ⁻ᵇ
7⁹/7² x 7⁹
= 7⁹⁻² x 7⁹
= 7⁷ x 7⁹
= 7⁷⁺⁹
= 7¹⁶
If Bill has 20 apples and Sarah has 15 apples, and they put them in a big pile and eat half, how many apples are left?
If Bill has 20 apples and Sarah has 15 apples, and they put them in a big pile and eat half, then There are 17.5 apples left.
Bill has 20 apples and Sarah has 15 apples. When they put them together in a pile, the total number of apples is 20 + 15 = 35. They eat half of the apples, which is equivalent to dividing the total number of apples by 2.
35 / 2 = 17.5
Therefore, there are 17.5 apples left after they eat half of the pile. It's important to note that while the concept of "half an apple" may not be physically possible, we can still express the result as a decimal to represent the fractional amount remaining. In this case, 17.5 represents the remaining apples after dividing the original pile in half.
To learn more about total number click here
brainly.com/question/28850076
#SPJ11
Carry out the following subtraction: 6 + 13i – (7 – 15i ). Simplify your answer into a + bi form.
Answer:
6 + 13i – (7 – 15i)
= 6 + 13i - 7 + 15i (distribute the negative sign)
= -1 + 28i (combine like terms)
Therefore, the answer is -1 + 28i in the form of a + bi.
Step-by-step explanation:
WILL GIVE BRAINLIST TO BEST ANSWER
Find the value of x that makes lines u and v parallel
If those two angles are equal (alt exterior angles) then lines u and v are parallel.
6x + 14 =80
6x = 80-14
6x = 66
x = 11
So when x =11, then lines u and v are parallel.
which of the following would be the best interpretation of a 90% confidence interval?for a given sample, 90% of the observations would be contained in that confidence interval.if we were to (theoretically) take 1000 repeated samples of the same size, then approximately 950 of the cis would contain the true value of the mean and approximately 50 would not. there is a 90% probability that a particular ci we have computed contains the population mean.if we were to (theoretically) take 1000 repeated samples of the same size, then approximately 900 of the cis would contain the true value of the mean and approximately 100 would not.
The best interpretation of a 90% confidence interval is that if we were to take 1000 repeated samples of the same size and compute the confidence interval for each sample, approximately 950 of these intervals would contain the true population mean, while approximately 50 would not.
A confidence interval is a range of values within which we are confident that the population parameter (such as the mean) lies. The confidence level refers to the percentage of intervals, computed from repeated samples, that would include the true population parameter.
A 90% confidence interval means that we are 90% confident that the true population parameter falls within the computed interval. Therefore, if we were to take 1000 repeated samples and compute the confidence interval for each sample, we would expect approximately 900 of these intervals to contain the true population parameter (since 90% of the intervals would be expected to contain the true parameter), while approximately 100 intervals would not contain the true parameter.
To know more about confidence interval,
https://brainly.com/question/13897622
#SPJ11
what can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8. 3.8)
The most appropriate answer would be option a) "Confounding is likely to be a problem in the interpretation of these results."
Now, let's consider the 95% confidence interval (CI) provided as (0.8, 3.8). A confidence interval is a range of values within which the true population parameter (in this case, the risk ratio) is likely to fall. The lower and upper bounds of the confidence interval in this case are 0.8 and 3.8, respectively.
Confounding refers to the presence of an extraneous factor that is associated with both the exposure and the outcome and can distort the observed association.
In this situation, since the confidence interval includes the null value of 1 (i.e., 1 is within the range), it suggests that the observed association may not be statistically significant.
A statistically significant result means that the observed association is unlikely to have occurred due to chance alone.
Therefore, option a) "Confounding is likely to be a problem in the interpretation of these results" is a reasonable conclusion.
Hence the correct option is (a).
To know more about confidence interval here
https://brainly.com/question/24131141
#SPJ4
Complete Question:
What can be said about the situation in a cohort study reporting an adjusted risk ratio of 2.5, with a 95% confidence interval of (0.8, 3.8)
a) Confounding is likely to be a problem in the interpretation of these results,
b) This estimate had a P value that was at or below 0.05.
c) There is a clear and strong association between the exposure and the health outcome understudy.
d) None of the above.
15 Paul swims 750 metres in 25 minutes. What is his average speed in km/h?
Answer:
1.8
Step-by-step explanation:
speed = distance/time
Distance measured in km
Time measures in hours
750m = 0.75
25mins = 0.42 of an hour
0.75/0.42 = 1.8 to 1dp
Answer:
1.8 km/h-----------------------
We know that:
1 m = 1/1000 km,1 min = 1/60 h,speed = distance / timeFind the speed and convert as below:
750 m / 25 min = 30 m/min = 30 × (1/1000) km / (1/60) h = (3/100) × 60 km/h = 18/10 km/h = 1.8 km/h