The probability of the intersection of two events occurring can never be more than the probability of the union of two events occurring.
False.
It should be stated that the likelihood of the intersection of two events occurring is always less than the likelihood of the events occurring together.
It is always less likely than or equal to the likelihood of either event occurring alone for an intersection of two events, which is the chance that both occurrences take place.
In other words, the probability of the intersection and the probability of the union are subsets of one another.
The chance of the intersection of two events occurring can never be greater than the likelihood of the union of two events occurring, hence that is the right statement.
For such more questions on Probability
https://brainly.com/question/13604758
#SPJ4
Charlie is studying the time it takes members of his company to travel to the office.
He stands by the door to the office from 0840 to 0850 one morning and asks workers, as they arrive, how long their journey was.
State the sampling method Charlie used.
Charlie could have used quota sampling instead of non-random sampling.
What are sampling methods?Sampling means selecting the group that you will actually collect data from in your research. For example, if you are researching the opinions of students in your university, you could survey a sample of 100 studentsGiven is that Charlie is studying the time it takes members of his company to travel to the office. He stands by the door to the office from 08 : 40 A.M. to 08 : 50 A.M. one morning and asks workers, as they arrive, how long their journey was.
Charlie could have used quota sampling instead of non-random sampling. He could have selected a sample that reflects the characteristics of the whole population.
Therefore, Charlie could have used quota sampling instead of non-random sampling.
To solve more questions on sampling, visit the link -
brainly.com/question/30098550
#SPJ1
{COMPLETE QUESTION IS -
Charlie is studying the time it takes members of his company to travel to the office.
He stands by the door to the office from 0840 to 0850 one morning and asks workers, as they arrive, how long their journey was.
State and briefly describe an alternative method of non-random sampling Charlie could have used to obtain a sample of 40 workers.}
a square $10$ cm on each side has four quarter circles drawn with centers at the four corners. how many square centimeters are in the area of the shaded region? express your answer in terms of $\pi$.
A square of 10 cm on each side has four quarter circles drawn with centers at the four corners, then the area of the shaded region is 21.46 centimeter square
The side of the square a = 10 cm
The area of the square = a^2
Substitute the values in the equation
The area of the square = 10^2
= 100 centimeter square
There are 4 quarter circle in the figure. We know 4 quarter circle is one circle
The area of the circle = πr^2
Where r is the radius of the circle
The radius of the circle = 5 cm
The area of the circle = π × 5^2
= 78.54 centimeter square
The area of the shaded region = The area of the square - The area of the circle
= 100 - 78.54
= 21.46 centimeter square
Therefore, the area of shaded region is 21.46 centimeter square
Learn more about area here
brainly.com/question/14853802
#SPJ4
At the art store, Maria bought a poster board for $0.65, glitter for $3.29, and glue for $1.99. She told Carl that she paid $5.00 for everything. True or False?
Answer:
False
If we wanted to solve this equation, we can use this expression:
0.65 + 3.29 + 1.99 = 5.93Maria must have spent $5.93, making her statement false.
Write the scale factor of abcde to zyxwv
The scale factor of abcde to zyxwv is obtained dividing one side length of zyxwv by the equivalent side length of abcde, for example:
k = zy/ab.
What is a dilation?A dilation happens when the coordinates of the vertices of an image are multiplied by the scale factor, changing the side lengths of a figure.
The figures for this problem are given as follows:
Original: abcde.Dilated: zyxwv.Hence the scale factor of abcde to zyxwv is obtained dividing one side length of zyxwv by the equivalent side length of abcde, for example:
k = zy/ab.
More can be learned about dilation at brainly.com/question/3457976
#SPJ1
13 AM
23.
Big Ideas
You make necklaces and key chains to sell at a
crafts fair. The table shows the amounts of time
and money it takes to make a necklace and a
key chain, and the amounts of time and money
you have available for making them.
Time
(hours)
Cost
(dollars)
Necklace Key
0.5
2
O 0.52 +0.25y ≤ 20
O 0.5x+0.25y ≥ 20
2x+3y ≤ 120
2x+3y ≥ 120
Ox+y ≥ 20
chain
0.25
3
Available
Let a represent the number of necklaces and y
represent the number of key chains you make.
Given z>0 and y ≥ 0, select all the
inequalities that represent the situation.
AirF 2023Algebra 1 MOY Items Question #27
20
120
Which combinations of
necklaces and key chains can
you make given the situation?
Select all that apply.
30 necklaces and 20
key chains
50 necklaces and 10
key chains
30 necklaces and 30
key chains
40 key chains
60 necklaces
All the inequalities that represent the situation are as follows;
A. 0.5x + 0.25y ≤ 20.
C. 2x + 3y ≤ 120.
A combinations of necklaces and key chains you can make given the situation include the following:
A. 30 necklaces and 20 key chains.
How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of necklaces and number of key chains respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of necklaces.Let the variable y represent the number of key chains.Based on the table of values (see attachment) and given x ≥ 0 and y ≥ 0, a system of linear inequalities to describe this situation include the following:
0.5x + 0.25y ≤ 20.
2x + 3y ≤ 120.
Next, we would use an online graphing calculator to plot the above system of linear inequalities in order to determine its solution as shown in the graph attached below.
Read more on inequality here: brainly.com/question/29115398
#SPJ1
FIND THE PERIMETER AND AREA OF THE EQUILATERAL TRIANGLE
Answer: look at the image for the solution and the answer
Step-by-step explanation:
A line is graphed on the coordinate plane.
Type in the equation for this line? Use x as your independent variable and y as the dependent variable.
The equation of the given line is [tex]y= \frac{1}{3}x+2[/tex]
What is the slope of a line?
A line's steepness and direction are measured by the line's slope. Any two different points on a line can be used to calculate the slope of any line. The ratio of "vertical change" to "horizontal change" between two different locations on a line is calculated using the slope of a line formula.
Given a straight line in a graph, we need to find the equation of this line
from the graph, we can see that the line passes through the axes at (0, 2) and (-6, 0)
now, the slope of the line is [tex]\frac{y2 - y1}{x2 - x1}[/tex]
[tex]= \frac{0 - 2}{-6 - 0} \\= \frac{1}{3}[/tex]
The line makes an intercept of 2 on the Y-axis, as we can see clearly
The slope-intercept form of the line is y = mx + c, where 'c' is the intercept and 'm' is the slope of the line
The equation of the given line is [tex]y = \frac{1}{3}x + 2[/tex]
To learn more about the equation of the straight line, refer to the link below:
https://brainly.com/question/25969846
#SPJ1
During a sale, a store offered a 35% discount on a tablet computer that originally sold for $340. After the sale, the discounted price of the tablet computer was marked up by 35%. What was the price of the tablet computer after the markup? Round to the nearest cent.
The marked-up price of the discounted tablet computer is $298.35.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, During a sale, a store offered a 35% discount.
So, The discounted price of the computer tablet is,
= [(100 - 35)/100]×340.
= (65/100)×340.
= $221.
Now, The price is marked up by 35% which is,
= [(100 = 35)/100]×221.
= (135/100)×221.
= $298.35.
Learn more about percentages here :
https://brainly.com/question/24159063
#SPJ9
Belle has a collection of trading cards. The table shows how many of each type of card she has. A card will be randomly drawn from her collection and replaced 60 times
Type: Number:
Baseball 13
Football. 8
Basketball. 5
Soccer. 9
What is a reasonable prediction for the number of times a basketball or soccer card will be drawn?
6. Ming uses 3/ 4 cup of peanuts and 1/ 4 cup of raisins to make a snack. Which statement correctly compares the fractions?
*
10 points
A. 3/4 = 1/4
B. 1/4 > 3/4
C 3/4 < 1/4
3/4 > 1/4
Answer:
3/4 > 1/4
Step-by-step explanation:
3/4 is 75%, and 1/4 is 25 percent. 3/4 is greater than 1/4!
Find a possible formula for the trigonometric function whose values are in the following table.
The formula possible formula for the trigonometric function whose values are in the following table is y = 6 x sin(π/2 * x) - 4.
What is a trigonometric function?Trigonometric functions are described as the periodic functions which denote the relationship between angle and sides of a right-angled triangle.
The formula for a trigonometric function is typically written as :
y = a sin (bx + c) + d
where a, b, c, and d are constants which tells us the amplitude, frequency, phase shift, and vertical shift of the function, respectively.
From the above table, the amplitude = 6,
the frequency is 2π/4 = π/2
the phase shift = 0, and
the vertical shift = -4.
Therefore, we can write the formula for the function as Y = 6 * sin(π/2 * x) - 4.
Learn more about trigonometric function at: https://brainly.com/question/25618616
#SPJ1
How to write a congruence statement
Answer:
Step-by-step explanation: A congruence statement expresses that two figures have the same size and shape. Here's how you can write a congruence statement step by step:
Write the two figures you want to compare. For example, you could write "Triangle ABC" and "Triangle DEF".
Use the symbol "≅" to indicate congruence. Place the symbol between the two figures, like this: "Triangle ABC ≅ Triangle DEF".
Label the corresponding parts of the two figures to show that they are congruent. For example, you could write "AB = DE", "BC = EF", and "AC = DF".
The final congruence statement would look like this: "Triangle ABC ≅ Triangle DEF, with AB = DE, BC = EF, and AC = DF". This statement says that Triangle ABC is congruent to Triangle DEF, and that the lengths of their corresponding sides are equal.
The graph of function f is shown.
The graph of exponential function passes through (minus 0.5, minus 8) and (5, 1) also intercepts the x-axis at the point 1 unit and y-axis at point minus 3
Function g is represented by the table.
x -1 0 1 2 3
g(x) -24 -4 0
Which statement correctly compares the two functions?
A.
They have the same y-intercept and the same end behavior as x approaches ∞.
B.
They have the same end behavior as x approaches ∞, but they have different x- and y-intercepts.
C.
They have the same x-intercept and the same y-intercept.
D.
They have the same x-intercept and the same end behavior as x approaches ∞.
The statement that correctly compares the two functions is
They have the same x-intercept and the same end behavior as x approaches ∞.
What is the end behavior of a function?A function's final behaviour is represented by the value of f(x) as x approaches infinity. Both functions in this scenario have the same final behaviour because they both have unbounded growth, or they both go to positive infinity.
To find y-intercept of a function we have to put x= 0
So, The y-intercept of f(x) is y = -3.
and, The y-intercept of g(x) is y = -4.
To find x -intercept of a function put y = 0
So, The x-intercept of f(x) is x = 1.
and, The x-intercept of g(x) is x = 1.
Learn more about Function here:
https://brainly.com/question/27958749
#SPJ9
help i will mark as brainliest i promise
The two-column table that can be used to prove the congruence relationships between the segments of the triangles are presented as follows;
Statement [tex]{}[/tex] Reasons
1. [tex]\overline{KN}[/tex] ≅ [tex]\overline{MN}[/tex] [tex]{}[/tex] Given
[tex]\overline{NL}[/tex] bisects ∠KNM [tex]{}[/tex]
2. ∠KNL ≅ ∠MNL [tex]{}[/tex] Definition of bisected angle
3. [tex]\overline{NL}[/tex] ≅ [tex]\overline{NL}[/tex] [tex]{}[/tex] Reflexive property
4. ΔKNL ≅ ΔMNL [tex]{}[/tex] SAS congruence rule
5. [tex]\overline{KL}[/tex] ≅ [tex]\overline{ML}[/tex] [tex]{}[/tex] CPCTC
6. KL = ML [tex]{}[/tex] Definition of congruence
C.
[tex]{}[/tex] Statement [tex]{}[/tex] Reasons
1. [tex]\overline{BE}[/tex] ≅ [tex]\overline{CE}[/tex], [tex]\overline{AE}[/tex] ≅ [tex]\overline{DE}[/tex] Given
2. ∠AEB ≅ ∠CED [tex]{}[/tex] Vertical angles theorem
3. ΔABE ≅ ΔCED [tex]{}[/tex] SAS congruence rule
4. [tex]\overline{AB}[/tex] ≅ [tex]\overline{CD}[/tex] [tex]{}[/tex] CPCTC
What are congruent segments?Congruent segments are segments that have the same lengths.
The details of the reasons used to prove the equivalence of sides KL and ML and the congruence of the segments [tex]\overline{AB}[/tex] and [tex]\overline{CD}[/tex] are presented as follows;
Definition of bisected angles
Bisected angles are angles that are split in two angles of the same measure by a segment passing through their vertex.
Reflexive property
The reflexive property of congruence states that a segment is congruent to itself.
SAS congruence rule
The SAS, Side-Angle-Side congruence rule states that if two sides and an included angle of a triangle are congruent to two sides and an included angle in another triangle, then the two triangles are congruent.
CPCTC
CPCTC is an acronym for Corresponding Parts of Congruent Triangles are Congruent.
Definition of congruence
Geometric figures, such as segment, angles and shapes are congruent when their sizes and measurements are the same.
Vertical angles theorem
The vertical angles theorem states that vertical angles formed by the intersection of two lines are congruent
Learn more about the triangle congruence rule here: https://brainly.com/question/29451135
#SPJ1
how to solve x-5(x - 1)=x- (2x-3)
The value for x-5(x - 1)=x- (2x-3) which gives x = 2/3.
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
x-5(x - 1)=x- (2x-3)
Now, solving the Equation for x we get
x -5x + 5 = x - 2x + 3
-4x + 5 = -x + 3
-4x + x = 3 -5
-3x = -2
x= 2/3
Learn more about Equation here:
https://brainly.com/question/180357
#SPJ1
Terri wants to know the height of the big Christmas tree on the town square. She stands 20 feet from the base of the tree. Elliot places a mirror on the ground between Terri and the tree so that she can see the top of the tree in the mirror. The mirror is located 16 feet from the base of the tree. If Terri's eye level is 5.5 feet from the ground, how tall is the tree?
Answer:
22ft
Step-by-step explanation:
Always good to try and draw out the scenario, it can make it more easily understandable.
Have a look at the pic.
Hope its clear.
Use the graph of the number of gallons of lemonade in a container, y, after drinking x glasses of lemonade.
The graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.
How to interpret a graph?
The horizontal scale across the bottom and the vertical scale along the side tell us how much or how many. The points or dots on the graph show us the facts. The lines connecting the points give estimates of the values between the points.
since , it is a decreasing graph because it has a negative slope . Therefore , as no of glasses increases the gallons numbers decreases.
Hence , the graph states that there are 2 number of gallons of lemonade in a container, y, after drinking 12 glasses of lemonade.
Learn more about linear graphs at:
https://brainly.com/question/19040584
#SPJ1
Answer:
no run hide
Step-by-step explanation:
hide run boo
true or false? a. a 95% confidence interval for the odds ratio between mi (yes, no) and treatment (placebo, aspirin) is (1.44, 2.33). if we form the table with aspirin in the first row (instead of placebo), the confidence interval is (1/2.33, 1/1.44)
The statement is true. A confidence interval is a range of values that is likely to contain the true value of the parameter with a certain degree of confidence.
In this case, we are interested in the odds ratio between MI (yes, no) and treatment (placebo, aspirin).
If the 95% confidence interval for the odds ratio between MI and placebo is (1.44, 2.33), this means that we can be 95% confident that the true odds ratio falls between these two values. This implies that the odds of having an MI are between 1.44 and 2.33 times greater for those taking the placebo compared to those taking aspirin.
When we switch the rows so that aspirin is in the first row, we need to take the reciprocal of the upper and lower bounds of the confidence interval to get the new interval. This is because the odds ratio is calculated as the odds of MI for one group divided by the odds of MI for the other group, and switching the groups changes the ratio.
So, if we take the reciprocal of the lower and upper bounds of the original interval, we get:
1/2.33 and 1/1.44
which is the new 95% confidence interval for the odds ratio when aspirin is in the first row. Therefore, the statement is true.
Learn more about ratio :
https://brainly.com/question/13419413
#SPJ4
Sage and Tom started the month with the same number of talk minutes on their cell phones. Sage talked for 7 minutes with her dad. Tom talked for 4 minutes with a friend and 3 more minutes with his mom. Do Sage and Tom have the same number of talk minutes left on their cell phone plans?
Question 1
Yes, Sage and Tom have the same number of talk minutes left in their cell phones. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The term "arithmetic operations" refers to the four basic mathematical operations that can be used to express any real number. Multiplication, division, addition, and subtraction are the four operations.
We are given that Sage and Tom both started the month with the same number of talk minutes on their cell phones.
So, let 'x' be the number of talk minutes on their cell phones.
Sage talked for 7 minutes with her dad.
So, talk minutes left in Sage's phone = x-7
Tom talked for 4 minutes with a friend and 3 more minutes with his mom.
So, talk minutes left in Tom's phone = x - (4 +3) = x -7
Hence, Sage and Tom have the same number of talk minutes left in their cell phones.
Learn more about arithmetic operations from the given link
https://brainly.com/question/30283549
#SPJ1
What is the approximate distance between point W (3, 6) and point Z (8, -2)?
Answer:
hope this helps!!! That’s the answer!
Step-by-step explanation:
Answer:
9.43 units.
Step-by-step explanation:
To find the distance between two points in a 2D plane, you can use the Pythagorean theorem. The formula for finding the distance between two points (x1, y1) and (x2, y2) is:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Plugging in the values for W and Z:
d = √((8 - 3)^2 + (-2 - 6)^2)
d = √(5^2 + (-8)^2)
d = √(25 + 64)
d = √89
The distance between the points W and Z is approximately 9.43 units.
Find the area of the figure. Use 3.14 for pie
The area of the figure is 254.8 m²
What is area?Area is the region occupied by an object.
How to find the area of the figure?Since the figure is a rectangle and containing two semi-circles, we find the area of the figure by finding the area of the rectangle and the two semi-circles.
What is the area of the rectangle?The area of the rectangle is given by A = LW where
L = length of rectangle and W = width of rectangleGiven that
L = 16 m and W = 12 mA = LW
= 16 m × 12 m
= 192 m²
What is the area of a semi-circle?The area of a semi-circle with diameter d is A = πd²/4
Now for the first semi-circle, its diameter d' = 8 m.
So, its area A' = πd'²/4
= π(8 m)²/4
= π64 m²/4
= 16π m²
= 16 ×3.14 m²
= 50.24 m²
Also, for the fsecond semi-circle, its diameter d" = 4 m.
So, its area A' = πd'²/4
= π(4 m)²/4
= π16 m²/4
= 4π m²
= 4 × 3.14 m²
= 12.56 m²
So, the area of the figure is A₁ = A + A' + A"
= 192 m² + 50.24 m² + 12.56 m²
= 254.8 m²
So, the area of the figure is 254.8 m²
Learn more about area of figure here:
https://brainly.com/question/30317304
#SPJ1
a student committee has 6 membersâ€""4 undergraduate and 2 graduate students. a subcommittee of 3 members is to be chosen randomly so that each possible combination of 3 of the 6 students is equally likely to be selected. what is the probability that there will be no graduate students on the subcommittee?
The probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
The number of possible subcommittees that contain only undergraduate students can be calculated by choosing 3 members from the 4 undergraduate students. This can be done in
(4 choose 3) = 4 ways.
The total number of possible subcommittees of three students that can be formed from the 6 members of the committee can be calculated by choosing 3 members from the 6 students. This can be done in
(6 choose 3) = 20 ways.
Therefore, the probability that there will be no graduate students on the subcommittee is:
Number of subcommittees with only undergraduate students / Total number of possible subcommittees
= 4 / 20
= 1/5
= 0.2
So, the probability of choosing a subcommittee of 3 members with no graduate students is 0.2, or 20%.
Learn more about probability :
https://brainly.com/question/30034780
#SPJ4
Determine the given lengths in the rectangle
Step-by-step explanation:
AC =18 (ac = bd opposite sides of a rectangle)
AB= 40(AB = CD)
AD = 22 ( ad = cb diagonals of a rectangle)
Heidi contributes 11% of her monthly salary towards her 401(k) and her employer matches her contribution up to 6% of her salary. If the interest rate of her 401(k) is 6.25% compounded monthly and her monthly salary is $3,250, determine the amount in her account after 15 years. Round to the nearest cent.
Answer:
The amount that will be in Heidi’s account after 15 years is option A. $164,146.52.What is Future Value?It can be calculated using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:FV = M (((1 + r)^n - 1) / r)Where;FV = Future value of the amount need to findM = total monthly contribution which is Heidi’s monthly contribution of 11% of her monthly salary + Employer monthly contribution of 6% of Heidi’s monthly salary can be calculated as;= (11% of Heidi’s monthly salary + 6.25% of Heidi’s monthly salary) = (11% of $3,250) + (6.25% x $3,250) = $552.50r = Monthly interest rate= Annual interest rate of 401(k) / 12 = 6.25% / 12 = 0.0625 / 12 r = 0.00520833333333333n = number of months = Number of years x 12 = 15 x 12 n= 180Substituting all the values into equation (1), we have;FV = $552.50 (((1 + 0.00520833333333333)^180 - 1) / 0.00520833333333333)FV = $552.50 x 297.097770863934FV = $164,146.518402324Rounding to the nearest cent, we get;FV = $164,146.52Therefore, the amount that will be in Heidi’s account after 15 years is option A. $164,146.52.
Step-by-step explanation:
.
find the gcf 24x^3+36^2
The greatest common factor of the 24x³ + 36x² is 12x².
What is the greatest common factor?It is the greatest factor common to all the numbers given such that there are no greater factors common other than that.
Example:
4 is the gcd of 12, 8, 16.
We have,
24x³ + 36x²
Taking out the common factor.
= 12x² (2x + 3)
Thus,
GCF of the expression is 12x².
Learn more about gcd here:
https://brainly.com/question/11221202
#SPJ9
y=-1/2x-1
y=1/4x-4
graphing method
The solution of the system of equations is (4, -3)
How to solve the system of equations graphically?Here we want to solve the next system of equations:
y = -(1/2)x - 1
y = (1/4)x - 4
Graphically.
To do so, we just need to graph both of these lines on the same coordinate axis and find the point where the lines intersect. Below is the graph of the system of equations, there we can see that the lines intersect at the point (4, -3), so that is the solution of the system.
Learn more about systems of equations at:
https://brainly.com/question/13729904
#SPJ1
Someone help me with this equation please!!
The given statement is transitive property.
What is transitive property?Transitive property is also called transitive property of equality when we have two equal values and either of this value is equal to third value.
DE≅XY AND [tex]\hat{DE}$$\approx\hat{XY} and \hat{XY}$$\approx$$\YZ, then\hat{DE}$$\approx$$\hat{YZ}[/tex]
This is a transitive property.
Here we have three values, initially first two values are equal and second & third values are equal.
Which gives any one of the value of first and second equals third value.
This is the transitive property.
Hence, the given statement is transitive property.
Learn more about transitive property here:
https://brainly.com/question/16758980
#SPJ1
In the World of Numbers, there are many number-machines, which work in the following way: the machine adds the two beginning digits of the number and replaces them by their sum. For example, beginning with the number 87312 and using six machines we obtain:
87312-15312-6312-912-102-12-3
How many such machines should be used in order to get to the number 450 from the number 900?
The number of machines used in order to get to the number 450 from the number 900 is 9.
What is an expression?An expression contains more than one term with addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
900 to 450
We need a number of machines such that 450 is the last output starting from 900.
Now,
If we subtract 50 from each consecutive number we get,
900, 850, 800, 750, 700, 650, 600, 550, 500, 450
So,
We use 9 machines to get 450 from 900.
Thus,
9 machines should be used in order to get to the number 450 from the number 900.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ9
A circle has a diameter of 26 feet what is the circumference
Use 3.14 for pie and do not round your answer be sure to include the correct unit in it in your answer
The circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.
What is the circumference?
The circumference is the length of any great circle, the intersection of the sphere with any plane passing through its center. A meridian is any great circle passing through a point designated as a pole.
The formula for the circumference of a circle is 2 * π * r, where r is the radius of the circle.
To find the circumference, we first need to find the radius of the circle.
The diameter of the circle is 26 feet, so the radius can be calculated by dividing the diameter by 2:
r = 26 feet / 2 = 13 feet
Now that we know the radius, we can find the circumference:
C = 2 * π * r = 2 * 3.14 * 13 = 81.64 feet
Therefore, the circumference of a circle with a diameter of 26 feet is approximately 81.64 feet.
To learn more about the circumference visit,
https://brainly.com/question/23986334
#SPJ1
Select the correct point
One linear equation is defined by points (1,6) and (3, 7), while the other is defined by points (3,6) and (5,8). Which point represents the solution of
this system of equations?
Answer:
Step-by-step explanation:
o find the solution of a system of linear equations, we can find the point where the two lines intersect. The point of intersection represents the solution to the system of equations.
The first linear equation can be determined by finding its slope and y-intercept using the given points:
m = (7 - 6) / (3 - 1) = 1
b = 6 - m * 1 = 6 - 1 * 1 = 5
y = mx + b
y = x + 5
The second linear equation can be found similarly:
m = (8 - 6) / (5 - 3) = 1
b = 6 - m * 3 = 6 - 1 * 3 = 3
y = mx + b
y = x + 3
Since the two lines have the same slope, they are coincident and represent the same line. The solution to the system of equations is therefore any point on this line, but since we were asked for a specific point, we can choose (3,6) as the solution.
