Answer:
Step-by-step explanation:
A formula is a method that has been proven to work when solving specific types of problems.
Let’s explore some of those familiar formulas by looking at rectangles, squares, area and perimeter.
The perimeter of a figure is the distance around the figure. Perimeter is the sum of all of the sides in a square or rectangle. Since a rectangle has two sets of parallel sides, the formula for determining perimeter of a rectangle is:
and
Let’s look at an example.
[Figure 2]
The rectangle above shows its dimensions. Find the perimeter.
First, substitute the values for the width and the length into the perimeter formula.
Next, complete the multiplication and addition to find the perimeter.
The answer is 42.
The perimeter of the rectangle is 42 inches.
Area is the amount of square units inside the figure. Area is found by multiplying the . The formula for finding the area of a rectangle is:
You can use the dimensions from the rectangle above to find the area of this rectangle.
First, fill the values for and into the formula for area.
Next, solve for the area by multiplying.
The answer is 108.
The area of the rectangle is .
Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself: . Area is always written in square units.
You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol . You can use the following formula for finding the perimeter of a square:
Let’s look at an example.
A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.
First, substitute the values for the perimeter and the length into the perimeter formula.
Next, complete the multiplication.
Then, subtract 24 from both sides to get your variable alone on the right side.
Then, multiply both sides by the reciprocal of 2 to isolate your variable.
The answer is 24.
The width of the rectangle is 24 feet.
Examples
Example 1
Earlier, you were given a problem about Raj and his garden fence.
He knows that the area of the land is 240 square feet, the length of one side is 15 feet, and needs to know the width of the land.
First, substitute the values for the area and the side length into the area formula.
Next, multiply both sides by the reciprocal of 15 in order to isolate the variable .
The answer is 16.
The width of Raj’s garden is 16 ft. Therefore the dimensions of the garden are 16 ft by 15 ft.
Example 2
A square has a perimeter of 196 inches. Determine the length of one side of the square.
First, substitute the value for the perimeter into the perimeter formula.
Next, multiply both sides by the reciprocal of 4 to isolate your variable.
The answer is 49.
Example 3
Find the perimeter of the following square if the side length is 4.5 inches.
First, substitute the value for the side length into the perimeter formula.
Next, multiply by 4 to solve for the perimeter.
The answer is 18.
Example 4
Can you find the area of the square in Example 1?
First, substitute the value for the side length into the area formula.
Next, multiply to solve for the area.
The answer is 20.25.
The area of the square is .
Example 5
A square has an area of 144 sq. meters. What is the side length?
First, substitute the value for the area into the area formula.
Next, take the square root of the area to isolate . Remember that the opposite of square is square root.
The answer is 12.
find the intervals of increase and decrease of 3/512(x-4)^2(x-8)(x-10)(x^2+16)
The given function is strictly decreasing in interval (−∞, 4) & trictly increasing in interval (4, −∞).
What is an increasing and decreasing functions?
For a given function, y = F(x), the function is known as an increasing function if the value of y increases as the value of x increases, and the function is known as a decreasing function if the value of y decreases as the value of x increases.
We have,
[tex]\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)[/tex]
[tex]\frac{d}{dx}\left(\frac{5}{512}\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)[/tex]
[tex]=\frac{5}{512}\frac{d}{dx}\left(\left(x-4\right)^2\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)[/tex]
[tex]f'(x)=\left(x-4\right)^2,\:g=\left(x-8\right)\left(x-10\right)\left(x^2+16\right)[/tex]
[tex]=\frac{5}{512}\left(\frac{d}{dx}\left(\left(x-4\right)^2\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\frac{d}{dx}\left(\left(x-8\right)\left(x-10\right)\left(x^2+16\right)\right)\left(x-4\right)^2\right)[/tex][tex]=\frac{5}{512}\left(2\left(x-4\right)\left(x-8\right)\left(x-10\right)\left(x^2+16\right)+\left(4x^3-54x^2+192x-288\right)\left(x-4\right)^2\right)[/tex]
[tex]f'(x)=\frac{5\left(x-4\right)\left(3x^4-53x^3+300x^2-816x+1856\right)}{256}[/tex]
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
x = 4, 4i, −4i, 10, 8
∴ f′(x) = 0
x = 4,
Now, the point 4 divides the real line into two disjoint intervals i.e., (−∞, 4) and (4, −∞)
In interval (−∞, 4), f′(x) < 0
Hence, the given function (f) is strictly decreasing in interval (−∞, 4)
In interval (4, −∞), f′(x) > 0
Hence, the given function (f) is strictly increasing in interval (4, −∞)
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At the beginning of the lesson, Jacob determined that there was a problem with the sail length measurements of 7.5 meters, 4.8 meters, and 2.5 meters. Explain how Jacob was able to determine there was a problem with the specifications of the triangular sail.
Answer:
Jacob was able to determine there was a problem with the specifications of the triangular sail because of the Pythagorean theorem.
Step-by-step explanation:
Assume the triangular sail is a right triangle.
The Pythagorean theorem says: [tex]A^{2} + B^{2} = C^{2}[/tex]
If A = 4.8, B = 2.5, and C = 7.5, then [tex]4.8^{2} + 2.5^{2} = 7.5^{2}[/tex].
[tex]4.8^{2} + 2.5^{2} = 23.04 + 6.25 = 29.29[/tex]
[tex]7.5^{2} = 56.25[/tex]
In conclusion, [tex]29.29 \neq 56.25[/tex], so there is a problem with the sail.
Solve for the value of v.
50⁰
(V-7)
The value of v as required to be solved for in the task content is; 47.
What is the value of according to the right triangle?It follows from the complete task content that a right triangle in which case the angle measures are; 50°, (v - 7)° and 90° is to be solved for variable v.
Recall from triangle geometry that the algebraic sum of angles in a triangle is; 180°.
Therefore, we have;
50° + (v - 7)° + 90° = 180°
v - 7 + 140 = 180
v = 180 - 140 + 7
v = 47.
On this note, the value of variable, v as required to be determined is; 47.
Completed question; The complete question is such that a right triangle with two other angles 50° and (v - 7)° is given.
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31.24 to 1 deecimal place
Round 31.24 to 1 decimal place:
31.2
Answer:31.2
Step-by-step explanation:
you remove the 4 because it is less than 5.
can 2 parabolas have the same vertex but different directions of opening?
Answer:
Step-by-step explanation:
Yes, of course!
A parabola's direction is based on whether its "a" value is positive or negative and whether it is opening vertically or horizontally (y= or x =)!
On average, Logan drinks 2/3 of a 6-ounce glass of water in 1 4/5 hours. How much water does he drink, in glasses per hour? Enter your answer as a whole number, proper fraction, or mixed number in simplest form.
[tex]\frac{3}{4}[/tex] of a 6-ounce glass will be drink by Logan in one hour.
What is Quantity?
Quantity is any number or variable and any algebraic combination of other quantities.
Define Average?
The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values .
Explanation for the answer:
Given time [tex]= \frac{2}{3}[/tex] of hours
= [tex]\frac{2}{3}\times 60[/tex] ([tex]\because[/tex] 1hrs = 60min)
[tex]= \frac{120}{3}[/tex]
= 40 minutes
Given quantity of water [tex]=\frac{1}{2}\ of\ 6\ ounce[/tex]
[tex]= \frac{1}{2}\times6\\ =3 ounce[/tex]
So,
In 40 mins, water intake is 3 ounce
In 1 min, water intake is [tex]\frac{3}{40}[/tex]
In 60 mins, water in take is [tex]\frac{3}{40}\times 60 = 4.5\ ounce[/tex]
Quantity of water intake in 60 mins:
4.5 ounce or 3/4 of 6-ounce glass
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Can anyone state the vertex of the graph?
Given the graph, the vertex does not exist and the transformations from are
Vertical shift down 2Horizontal shift left 4How to calculate the vertex of the graph?The graph represents the given parameter
In the above graph, we can see that the graph is a cubic function
By definition, cubic functions do not have vertex. This is because they have no minimum or maximum
So, we can conclude that the graph has no vertex
The transformation from the parent functionIn (a), we have
We can see that the graph is a cubic function
This function is represented as
y = ∛x
In this graph, we can see that the graph is 4 units to the left
i.e. y = ∛(x - 4)
And 2 units below the origin
i.e. y = ∛(x - 4) + 2
So, the transformation is (b) and (c)
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Multiply (0.000302)(1000)
Answer:
0.302
Step-by-step explanation:
Answer: 0.302
Step-by-step explanation:
a researcher counts the number of students who agree, disagree, or are indifferent concerning a recent school policy change. what are the degrees of freedom for this chi-square goodness-of-fit test?
The number of degrees of freedom for the chi-square goodness-of-fit test is of:
2.
How to obtain the number of degrees of freedom for a chi-square test?The number of degrees of freedom for a chi-square goodness-of-fit test is obtained according to the multiplication presented as follows;
df = (r - 1) x (c - 1).
In which the variables are listed as follows:
r is the number of rows from the table.c is the number of columns from the table.The table in this problem has three rows, given as follows:
Students who agree with the recent school policy change.Students who disagree with the recent school policy change.Students who are indifferent with the recent school policy change.The table has two columns, which are given as follows:
Student's opinions.Absolute frequencies of the student's opinions.Hence the number of degrees of freedom of the test is given as follows:
df = (3 - 1) x (2 - 1) = 2 x 1 = 2.
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Find the highest common factor (HCF) of 72 and 90
Answer:
Step-by-step explanation:
Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72
Factors of 90: 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90
The six frequent factors between 72 and 90 are 1, 2, 3, 6, 9, and 18.
Consequently, 18 is the number that links 72 and 90 most frequently.
Classify the angle pair as corresponding, alternate interior, alternate exterior, or consecutive interior angles. Then, select the transversal that connects them.
∠1 and ∠14
corresponding
alternate interior
alternate exterior
consecutive interior angles
p
q
r
s
The identification of the missing angles and their congruency names are;
a. ∠4 and ∠7 = Consecutive interior
b. ∠2 and ∠11 = alternate exterior angles
c. ∠12 and ∠16 = corresponding angles
d. ∠8 and ∠13 = alternate interior angles
e. ∠11 and ∠15 = corresponding angles
f. ∠7 and∠10 = none
g. ∠1 and ∠14 = alternate exterior angles
h. ∠12 and ∠15 = Consecutive interior
i. ∠6 and ∠7 = none
j. ∠1 and ∠3 = corresponding angles
k. ∠12 and ∠16 = corresponding angles
l. ∠6 and ∠15 = alternate exterior angles
m. ∠5 and ∠10 = alternate interior angles
n. ∠8 and ∠14 = corresponding angles
How to classify congruent angles?Corresponding angles are defined as the angles which are formed in corresponding corners with the transversal in a case where two parallel lines are intersected by any other line.
Alternate interior angles are defined as the angles formed when a transversal intersects two coplanar lines.
Alternate exterior angles are defined as the pair of angles that are formed on the outer side of the parallel lines but on the opposite side of the transversal.
Therefore, the angles given can be classified similarly using the image as:
a. <4 and <7 are Consecutive interior angles
b. <2 and <11 are alternate exterior angles
c. <12 and <16 are corresponding angles
d. <8 and <13 are alternate interior angles
e. <11 and <15 are corresponding angles
f. <7 and <10 are none
g. <1 and <14 are alternate exterior angles
h. <12 and <15 are Consecutive interior
i. < 6 and <7 are none
j. <1 and <3 are corresponding angles
k. <12 and <16 are corresponding angles
l. <6 and <15 are alternate exterior angles
m. <5 and <10 are alternate interior angles
n. <8 and <14 are corresponding angles
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which equation represents the graph below?
y = −1/5x − 3y
y = 5x − 3y
y = −1/5x + 3
Answer:
y=-1/5x+3
Step-by-step explanation:
I think this the answer
Answer:
y = -1/5x - 3
Step-by-step explanation:
→ Find the x intercept
( - 15 , 0 )
→ Find y intercept
( 0 , -3 )
→ Find gradient
y = -1/5x + c
→ Substitute coordinate pair in
y = -1/5x - 3
4. The drama club is printing t-shirts for its members. The printing company chargesa certain amount for each shirt plus a setup fee of $40. There are 21 students in the drama club.
a. If there are 21 students in the club and the t-shirt order costs a total of $187, how much does each t-shirt cost? Show your reasoning.
Answer:
$7
Step-by-step explanation:
You want the cost of a shirt when the cost of 21 shirts plus a $40 setup fee is $187.
CostThe total cost of the order is the sum of the setup fee and the extended cost of the shirts.
cost = (setup fee) + (number of shirts) × (cost per shirt)
187 = 40 + 21 × (cost per shirt)
Subtracting 40 gives ...
147 = 21(cost per shirt)
Dividing by 21, we have ...
7 = cost per shirt
Each T-shirt costs $7.
please help me with this.
Answer:
Option A
Step-by-step explanation:
→ Multiply both sides by 2
2s = a + b + c
→ Minus b and c from both sides
2s - b - c = a
Four
Four students, Ryan, Angel, Evan and Oliver were
shipwrecked on an island. Having no food they went to
work gathering pineapples. After gathering pineapples,
they were tired and all fell asleep. After another while,
Angel woke up and was very hungry and so she ate 1/3
of the pineapples - more than her proper share.
Shewent back to sleep. Evan woke up and, being
hungry, ate 1/3 of the remaining pineapples and went
back to sleep.Oliver did the same. When Ryan woke up,
he only took his rightful share of the remaining
pineapples. Then there were 6 pineapples left. How
many pineapples did they all gather?
Pineapple originally gather is 27
Quadratic equations are what?
An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term.
Step-by-step explanation:
Working Backward strategy
Remaining Pineapple = 3
[tex]\frac{2}{3}x+3=x[/tex]
x=9
Remaining Pineapple now = 9
ATQ [tex]\frac{1}{4}x+9=x[/tex]
x = 12
Remaining Pineapple now = 12
ATQ [tex]\frac{x}{3}+12=x\\[/tex]
x=18
Remaining Pineapple now =18
ATQ [tex]\frac{x}{3}+18=x[/tex]
x=27
hence The ans is 27
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Karl bought 1.6 pounds of oranges and 2.4
pounds of pears. They each cost $1.48 per pound
Use properties to find the total cost.
Answer:
$5.92
Step-by-step explanation:
1.6 lbs. + 2.4 lbs. = 4 lbs.
4 x 1.48 = 5.92
Since it doesn't specify whether the oranges and apples cost differently you can add both of them. Then you multiply it by 1.48 because that's the cost per pound.
A coffee company surveyed 40 potential customers to see where they would
like the company's new organic coffee sold. Respondents were given the
following four locations and asked to choose as many as they liked: grocery
stores, drugstores, health food stores, and big box stores. The results are
summarized in the bar graph below, with the number of times each location
was chosen noted above the corresponding bar.
According to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
We are given;
Total number of potential customers =40
From the bar graph number of respondents are following;
At grocery stores = 40
At drugstores respondents = 32
At health food stores = 8
At big box stores = 20
So,
The average number = Total number of respondents / Total number of potential customers
The average number = (40 + 32 + 8 + 20) / 40
The average number = (100) / 40
The average number = 2.5
Thus, according to the statistics presented in the bar graph of responders of four locations per 40 potential customers, the average number of places chosen per potential client is 2.5.
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the ages of five randomly choose cars in the parking lot are determined to be 7, 9, 3,4, and 6 years old. if we consider these 5 cars in groups of 3, how many groups can be formed?
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1: A is directly proportional to B.
When A = 12, B = 3
Direc
(a) Find a formula for A in terms of B.
(b) Find the value of A when B = 5
(c) Find the value of B when A= 36
Answer:
a)A=4B
b)A=20
c)B=9
If it is directly proportional it means that A=kB.
you can substitute the numbers to find k.
12=k3
k=4
so the formula is A=kB.
For part b and c it is just substitution
after euclid high school's last basketball game, it was determined that 1/4 of the team's points were scored by alexa and 2/7 were scored by brittany. chelsea scored 15 points. none of the other 7 team members scored more than 2 points. what was the total number of points scored by the other 7 team members?
The total number of points scored by the other 7 team members in Euclid high school's last basketball game is 11.
What is defined as the term two variable equation?If an equation is written in the form ax + by + c=0, where a, b, and c are real integers as well as the coefficients of x and y, i.e., a and b, respectively, really aren't equal to zero, then it is said to be a linear function in two variables.For the given question.
Let 't' be the total points scored.
Alexa = 1/4 t.
Brittany = 2/7 t
Chelsea = 15
Let 'x' be the points scored by remaining 7 team.
Thus, the two variable equation becomes.
1/4 t + 2/7 t + 15 + x = t .....eq 1
Where, x ≤ 14 ( for 7 terams)
Simplifying eq 1.
15 + x = 13/ 28 t
28x + 28 = 13 t
Now, t must be divisible by 28.
Let t = 28 u, u ≥ 0 and divisible by 28.
Thus,
x + 15 = 13u.
Then, u = 2( t = 56) has been the only candidates for which x = 11.
Thus, the total number of points scored by the other 7 team members is 11.
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Let d represent:
I do not drink bottled water.
Lett represent:
I eat pizza.
What is the symbolic representation of the following statement?
I do not eat pizza or I do not drink bottled water
I eat pizza or drink bottled water, for example, is a symbolic representation of the following statement.
What is meant by symbolic representation?Traditionally, symbolic representation is defined as the representation of a principal, such as a nation, through a symbol, such as a flag, that evokes specific meanings and emotions about the nation. The use of physical or psychological processes to represent an object (either another object or an idea) in a symbolic form is referred to as symbolic representation (Carlson, Sroufe, & Egeland, 2004). A written character or mark that is used to represent something; a letter, figure, or sign that is traditionally used to represent some object, process, etc. (Oxford English Dictionary). Figures denoting the planets, signs of the zodiac, and so on are examples of something visible that represents something else that is invisible by association or convention. Synonyms include symbol, symbolization, and symbolization.To learn more about symbolic representation, refer to:
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What is the speed of a jet plane that travels 3,000 meters in 100 seconds?
Answer:
Step-by-step explanation:Answer: 108,000m/h (108km/h or 30m/s)
Please help! The total cost after tax to buy floor tiles is represented by 14f+0.096(14f), where f represents the number of square feet of tile are need to cover the floor.
a. What part of the expression represents the amount of tax that must be paid? Explain. (3 pts)
b. What would the expression be if the cost per square foot was $15 (plus tax)? (3 pts)
Considering the expression in this problem, it is found that:
a) The part of the expression that gives the amount of taxes that has to be paid is: 0.096(14f).
b) The expression would be of: C(f) = 15f + 0.096(15f).
What is the meaning of the expression?The expression for the total cost in this problem is presented as follows:
C(f) = 14f + 0.096(14f).
The meaning of each term is given as follows:
14f means that the cost of each square feet of tile is of 14 f.0.096 x 14f means that an additional 0.096 = 9.6% is paid of tax for each square feet of tile purchased.If the cost per square foot was of $15 instead of $14, the complete expression would be as follows:
C(f) = 15f + 0.096(15f).
That is, the two instances of 14 in the equation were replaced by 15.
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Given Two Points: Write the equation of the line with the two given point
5. (1, 3) and (-3, -5)
6. (1, 4) and (6, -1)
7. (-12, 14) and (6, -1)
8. (-4,-2) and (4, 0)
Writing Parallel & Perpendicular Equations
9. Write an equation parallel to y = 3x + 6 that passes through the point (4, 7).
quadrilateral rstu has vertices R(2,4) ,s (-2,2), T(-1,0)and (3,2)
Verify:
i) quadrilateral rstu is a rectangle
ii) the diagonals of the rectangle bisect each other and are equal in lengths .
As RS=TU and ST=UR by distance formula, The given quadrilateral RSTU is rectangle and The diagonals RT=US so they are equal and bisect each other at right angle.
What is rectangle?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. It is also known as an equiangular quadrilateral for this reason. Rectangles can also be referred to as parallelograms because their opposite sides are equal and parallel. An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel opposite sides. A rectangle has two dimensions—length and width—because it is a two-dimensional shape. The rectangle's longer side is its length, and its shorter side is its width.
Here,
Calculate the length of sides by distance formula.
RS=√(y2-y1)²+(x2-x1)²
=√(2-4)²+(-2-2)²
=√4+8
=√(12
=2√3 units
ST=√(y2-y1)²+(x2-x1)²
=√(0-2)²+(-1-(-2))²
=√(4+1)
=√5 units
TU=√(y2-y1)²+(x2-x1)²
=√(2-0)²+(3-(-1))²
=√(4+8)
=√12
=2√3 units
UR=√(y2-y1)²+(x2-x1)²
=√(4-2)²+(3-2)²
=√(4+1)
=√5 units
RT=√(y2-y1)²+(x2-x1)²
=√(0-4)²+(-1-2)²
=√(16+9)
=√25
=5 units
US=√(y2-y1)²+(x2-x1)²
=√(2-2)²+(-2-3)²
=√(0+25)
=√25
=5 units
Because the given quadrilaterals, RS=TU and ST=UR, are rectangles and the diagonals, RT=US, are equal and at right angles to one another, according to the distance formula.
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f(x)=-1²-3x+ 20
Find f(5)
Answer:
6
Step-by-step explanation:
-1^2-3(5)+20
1-15+20
1+5
6
hopes this helps
an ant walks along a straight path. After traveling for 1 meter it stops, turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a distance of half a meter. Again, the ant turns through an angle of 90 degrees in an anticlockwise direction and sets off in a straight line covering a quarter of a meter. The ant continues in this manner indefinitely.
a) How many turns will the ant have made after covering a distance of 63/32 meters?
b)How far will the ant "eventually" travel?
The description of the motion of the ant which is a geometric series is as follows;
a) After covering 63/32 meters, the ant will have made 6 turns
b) The distance the ant will eventually travel is 2 meters
What is a geometric series?Geometric series is an infinite sum of terms in which the ratio between consecutive terms is a constant.
The distances traveled by the ant is a geometric progression of the form;
aₙ = a·rⁿ⁻¹The sum of the distance is given by the sum of the geometric progression as follow;
[tex]S_n = \dfrac{a\cdot \left(1 - r^n \right)}{(1 - r)}[/tex]
Where;
aₙ = The distance traveled in the nth turn
Sₙ = The sum of the distances
a = The first term = 1 meter
r = The value of the common ratio = 0.5 meter ÷ 1 meter = 0.5
a) The number of turns the ant will have made after covering a distance of 63/32 meters is therefore;
[tex]S_n =\dfrac{63}{32} = \dfrac{1\times \left(1 - 0.5^n \right)}{(1 - 0.5)}[/tex]
31.5 = 32 × (1 - 0.5ⁿ)
32 × 0.5ⁿ = 32 - 31.5 = 0.5
0.5ⁿ = 0.5 ÷ 32
n = ln(0.5 ÷ 32) ÷ ln(0.5) = 6
After covering a distance of 63/62 meters, the ant will have made 6 turnsb) The distance the ant travels eventually is given by the formula for the sum to infinity of a geometric progression as follows;
[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]
Which gives;
[tex]S_{\infty} = \dfrac{1}{1-0.5} = 2[/tex]
The distance the ant eventually travels is 2 meters
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What is the sum of the 9th square number and the 5th cube number?
Answer:
Step-by-step explanation:
write down the value of 9 and a half?
The value of 9 and a half will be 9 1/2.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
Here, we want to find the value of 9 and half. This will be:
= 9 + 1/2
= 9 1/2
The value is 9 1/2.
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question the probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is avery interpreting the probability correctly? responses yes, because 2 out of 5 is equal to 40%. yes, because 2 out of 5 is equal to 40%. yes, because participants in the survey are selected at random. yes, because participants in the survey are selected at random. no, because there could be voluntary response bias. no, because there could be voluntary response bias. no, because only 40% of all people will visit the site. no, because only 40% of all people will visit the site. no, because 0.40 represents probability in the long run over many visits to the site.
Out of the next 5 visitors, 2 will be asked to attempt the survey. (A) yes, because 2 out of 5 is equal to 40%.
It is given the probability that the randomly selected person is asked to participate in an online survey is 0.4
This means that there is a 40% chance of a visitor being asked to join the survey.
Probability of an event = no. of favorable outcomes / total no of outcomes
P(E) = n(E) / n
Therefore, if the number of visitors to the website is 5,
n = 5
P(E) = 0.4
Hence,
n(E) / 5 = 0.4
or, n(E) = 0.4 X 5
or, n(E) = 2
Therefore, out of the next 5 visitors, 2 will be asked to participate in the survey.
Correct Question
The probability that a randomly selected visitor to a certain website will be asked to participate in an online survey is 0.40. Avery claims that for the next 5 visitors to the site, 2 will be asked to participate in the survey. is Avery interpreting the probability correctly?
(A) yes, because 2 out of 5 is equal to 40%.
(B) yes, because participants in the survey are selected at random.
(C) no, because there could be voluntary response bias.
(D) no, because only 40% of all people will visit the site.
(E) no, because 0.40 represents probability in the long run over many visits to the site.
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