Thus, the two positive whole numbers that are greater than one multiply to 576 and share only the number one in common is 5.
Explain about the positive whole numbers?One of the categories that mathematicians have created for numbers is titled whole numbers, and it contains all of the numbers from 0 to infinity.
The specific class or collection of numbers known as whole numbers includes:
Are all positive numbers with no fractional or decimal parts, including zero.Positive numbers with no decimal or fractional portions are referred to as whole numbers, including zero. They are numerical representations of whole, unbroken things. The set of whole numbers is mathematically represented by the numbers 0 through 9.Two positive whole numbers greater than 1 are 2 and 3.
2 and 3 does not have any common factor except 1.
sum of 2 and 3 = 5
Thus, the two positive whole integers that are greater than one multiply to 576 and share only the number one in common is 5.
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Proportional or not proportional?
Step-by-step explanation:
A is not proportional
Use the graph to record the value of y axis when x is 1, 2, 3, 4, 5, 6
And record the values of x when y is 1, 2, 3, 4, 5, 6 till the end
Using the graph Value of y
(1, 0.9) (2,1.5) (3,2.2) (4,2.5) (5, 3) (6,4) (7, 5) (10,6)
Using the graph, find the value of x when y is 1 - 10)
1.2, 2.5, 5,.....
The slope of the graph also shows that it is not proportional
B is proportional
X is 0 and y is 0
When x is 5, y is 10
Ratio x: y = 5:10 = 1:2
When x is 10, y is 20
Ratio x:y is 10: 20 = 1:2 same as above
C is not proportional
When Moyra is 32, daughter is 8
When her daughter is 22, Moyra will also be 4years older, which is 36
32: 8 = 4:1
36: 12 =3:1
is it possible to have a c2 strictly convex function on a compact domain that is not also strongly convex?
Yes, it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
Let's have a look at the following details of it.
Definition of a Strictly Convex Function:A strictly convex function is a function whose Hessian matrix is positive-definite for all arguments. As a result, if f is differentiable and convex, it is strictly convex if and only if its Hessian matrix is positive-definite for all arguments.
The Definition of Strong Convexity: A function is said to be strongly convex if it meets the following criteria:
Let C be a convex subset of a Hilbert space H, and let f:C→ℝ be a continuously differentiable function. There is a positive constant μ such that, for all x,y∈C: f(y)≥f(x)+⟨∇f(x),y−x⟩+μ/2‖y−x‖2
Thus, it is clear from the above-mentioned definitions that it is possible to have a c2 strictly convex function on a compact domain that is not also strongly convex.
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you have been tracking how long you spend on each course subject during your homework sessions. you want to see what percentage each subject represents. which type of chart would be best for this purpose?
a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.
For visualizing the percentage distribution of different course subjects, a pie chart would be the most suitable type of chart. Pie charts are ideal for displaying the relative proportions of different categories or groups as slices of a circular pie. Each slice of the pie represents a proportion of the whole, which in this case would be the total time spent on all course subjects during homework sessions. The size of each slice will correspond to the percentage of time spent on each course subject. Therefore, a pie chart would be an effective way to quickly and easily understand the distribution of time spent on different course subjects.
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Mainline is choosing 3 of her 10 best flowers displays to be entered in a competition. How Many different selections are possible?
Answer:
Step-by-step explanation:
This is a combination problem because the order in which the flower displays are chosen does not matter. We can use the formula for combinations, which is:
nCr = n! / r!(n-r)!
Where n is the total number of items (in this case, 10 flowers displays) and r is the number of items we want to choose (in this case, 3 flower displays).
Plugging in the numbers, we get:
10C3 = 10! / 3!7!
= (10 x 9 x 8) / (3 x 2 x 1)
= 120
Therefore, there are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.
Answer:
There are 120 different selections of 3 flower displays that Mainline can choose from her 10 best flowers displays.
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If the measur of BEC is (2x3) and x is 30 which expression could represent the measure of AED
The expression that equals ∠BEC is 3x - 27, and the answer is B.
First, we find the measure of ∠BEC using the given information and the value of x. We get
2x + 3 = 63, which simplifies to x = 30.Then, we use the fact that ∠AED is vertically opposite to ∠BEC, so ∠AED = ∠BEC = 63 degrees.
Finally, we need to find the expression among the given choices that equals 63 when x = 30.
Option A is too large, option C is too large, and option D is too small. Option B gives us
3x - 27 = 3(30) - 27 = 63which matches the measure of ∠BEC. Therefore, the answer is B.
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Complete Question:
If the measure of BEC is (2x+3) and x=30, which expression could represent the measure of AED?
i do not understand please help asap
Step-by-step explanation:
Lets assume this is a right triangle.
If you use pythagorean theorem, lets assume the tower is the longest line on the triangle.
If this is true, lets say that 9^2 (distance from end of slide to base of tower) + x^2 (length of slide) = 23^2 (height of tower)
we get the length of the slide is 21.2 meters.
the perimeter of a rectangle is 24 inches. if the width of the rectangle is 7 inches, what is the length?
The length of the rectangle with a perimeter of 24 inches and a width of 7 inches is 5 inches.
The perimeter of a rectangle is given by the formula: P = 2l + 2w where P is the perimeter, l is the length, and w is the width. We know that the perimeter of the rectangle is 24 inches and the width is 7 inches.
Substituting the given values in the formula for the perimeter of the rectangle, we have:
24 = 2l + 2 × 7
Simplifying, 24 = 2l + 14
Subtracting 14 from both sides, we get:
10 = 2l
Dividing both sides by 2, we get: l = 5
Therefore, the length of the rectangle is 5 inches.
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a force of 6 pounds is required to hold a spring stretched 0.6 feet beyond its natural length. how much work (in foot-pounds) is done in stretching the spring from its natural length to 0.8 feet beyond its natural length?
The amount of work (in foot-pounds) done in stretching a spring from its natural length to 0.8 feet beyond its natural length is 24.
so we have W=6lbs*(0.8ft-0.6ft)
=6lbs*0.2ft
=24ft-lbs.
Work is the measure of the amount of energy required to move an object over a certain distance, so to stretch the spring 0.8 feet beyond its natural length, 24 foot-pounds of work is done.
This can also be understood as the product of the force (6lbs) and the displacement (0.2ft). Work is a scalar quantity, meaning it only has magnitude and not direction.
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factor the expression 6x^3 + 5x
Answer:
x(6x^2 + 5)
Step-by-step explanation:
To factor the expression 6x^3 + 5x, we can first factor out the greatest common factor of the two terms, which is x. This gives:
x(6x^2 + 5)
We can see that 6x^2 + 5 cannot be factored any further using integer coefficients, so the final factored form of the expression is:
x(6x^2 + 5)
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Compare the maximum values and the end behavior of the functions of f and g.
Therefore , the solution of the given problem of function comes out to be even though the two functions' maximum numbers are different, their final behavior is the same.
What is function?On the midterm exam, there will be inquiries about design, mathematics, each topic, and both actual and hypothetical locations. a summary of the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input. Each post also has a particular location, that could be the enclave, an area, or even something completely different.
Here,
When x = 2, the maximum value of function f is 6, and
when x = -2, the highest value of function g is 3.
Both functions result in the same action in the end.
Both functions move closer to positive infinity as x gets closer to positive or negative infinity.
This is due to the positive quadratic component that dominates the behavior of the leading term in both functions as x increases in magnitude.
As a result, even though the two functions' maximum numbers are different, their final behavior is the same.
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What is the area of a circle with the radius of 11.5 meters? Use 3.14 for pi or put pi in your answer for an exact answer.
Answer:
Area = [tex]415.265 m^2[/tex]
Step-by-step explanation:
Area of a circle = [tex]\pi r^2[/tex]
[tex]A = (3.14)(11.5^2)=(3.14)(132.25)=415.265[/tex]
Jared's average daily balance for the last month was $560. The finance charge was $8. 12. What was the monthly percentage rate? What was the APR?
The monthly percentage rate is 1.45%, and the APR is 17.4%.
To calculate the monthly percentage rate, we can divide the finance charge by the average daily balance, then multiply by 100 to convert to a percentage
Monthly percentage rate = (finance charge / average daily balance) x 100
Monthly percentage rate = ($8.12 / $560) x 100
Monthly percentage rate = 0.0145 x 100
Monthly percentage rate = 1.45%
To calculate the APR (annual percentage rate), we need to multiply the monthly percentage rate by the number of months in a year:
APR = Monthly percentage rate x 12
APR = 1.45% x 12
APR = 17.4%
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Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem.
A cube-shaped box has an edge length of 45 meter.
What is the volume of the container?
Enter your answer, as a fraction in simplest form, in the box.
The volume of the container is 91125 cubic meters.
What is volume?
A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.
A sphere is the most basic and typical form of a three-dimensional shape. A sphere's radius is the simplest parameter to measure. The radius of the sphere is used to determine its volume.
Given the edge of a cube is 45 meters.
The formula of volume is V = s³.
The volume of the container is
45³
= 91125 cubic meter.
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What is the quotient of 3.013 × 10^(8) and 6.55 × 10^(5) expressed in scientific notation?
The quotient of 3.013 × [tex]10^{8}[/tex] and 6.55 × [tex]10^{5}[/tex] expressed in scientific notation is equal to 0.46 × [tex]10^{3}[/tex].
What is a quotient?In Mathematics, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).
Generally speaking, any numerical data (number) can be written in scientific notation as shown below:
a × [tex]b^n[/tex]
Where
a represent a real number.b represent an integer.Next, we would rewrite the given numerical data (number) in scientific notation by dividing by 6.55 × [tex]10^{5}[/tex] as follows:
Scientific notation = 3.013 × [tex]10^{8}[/tex]/(6.55 × [tex]10^{5}[/tex])
Scientific notation = 0.46 × [tex]10^{8-5}[/tex]
Scientific notation = 0.46 × [tex]10^{3}[/tex].
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during normal breathing, about 12% of the air in the lungs is replaced after one breath. write an exponential decay model for the amount of the original air left in the lungs if the initial amount of air in the lungs is 500 ml. approximately how much original air is left in the lungs after 5 breaths?
If the initial amount of air in the lungs is 500 ml. approximately then original air is left in the lungs after 5 breaths is 263.86 ml.
During normal breathing, about 12% of the air in the lungs is replaced after one breath,
initial amount of air in the lungs is 500 mL.
After 1 breath original air in lung = 500 - (12/100)500
= 500*(88/100)
= 500 (0.88)
After 2 breath original air in lung = 500 (0.88) - (12/100)500 (0.88)
= 500 (0.88) (1 - 12/100)
= 500 (0.88) (0.88)
= 500(0.88)²
After n breaths original air in lung = 500(0.88)ⁿ
original air is present after 5 breaths = 500(0.88)⁵
= 263.86 ml
Therefore, original air is left in the lungs after 5 breaths is 263.86 ml.
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The Saad family is setting up for their annual New Year's party. There will be 143 adults and 62 children coming in the evening. Each table holds 15 people. How many tables will they need for all guests?
Answer:
There are a total of 143 + 62 = 205 people coming to the party.
To calculate the number of tables needed, we divide the total number of people by the number of people per table:
205 ÷ 15 = 13 with a remainder of 10
Since we can't have a fraction of a table, we need to round up to the nearest whole number, which means the Saad family will need 14 tables for all guests.
when a group is thought to be related to a certain behavior or attitude when an individual has little experience with that group:
Answer:
When an individual has little experience with a group, and the group is believed to be related to a particular behavior or attitude, this is known as stereotyping.
Step-by-step explanation:
Stereotyping refers to a systematic method of categorizing individuals on the basis of a single characteristic, such as age, gender, or race, and then using that classification to make broad assumptions about them. It is a broad generalization that is made about a particular category or group of people. Stereotyping is an unfortunate part of our society, but it is not something that can be prevented entirely.
The most obvious effect of stereotyping is that it causes people to be unfairly labeled and judged. This can lead to discrimination, as well as negative behavior and attitudes towards certain groups of people. Stereotyping can also limit people's opportunities, both personally and professionally. When people are stereotyped, they are often overlooked for jobs, promotions, and other opportunities that they might otherwise be qualified for.
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consider rolling two dice. which of the following describe two events that are collectively exhaustive? multiple select question. event 1: a value of 6 or more. event 2: a value of 8 or less. event 1: a value of 9 or more. event 2: a value of 7 or less. event 1: a value of 7 or more. event 2: a value of 6 or less. event 1: rolling an even number. event 2: rolling an odd number.
Two events that are collectively exhaustive are event 1: a value of 6 or more and event 2: a value of 7 or less.
These events are collectively exhaustive because the events cover the entire possible range of values of the dice rolls. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either 6 or less, or it is greater than 6. This means that the sum of the dice rolls is either 7 or more, or it is less than 7.
Another set of events that are collectively exhaustive are event 1: rolling an even number and event 2: rolling an odd number. These events are collectively exhaustive because the events cover the entire set of possible outcomes of rolling two dice. If one of these events does not occur, then the other event must occur. This means that the sum of the dice rolls is either even or odd. This means that the sum of the dice rolls is not both even and odd at the same time.
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Which expression is equivalent to Cube root of 343 x Superscript 9 Baseline y Superscript 12 Baseline z Superscript 6?
7x3y4z2
7x3y6z2
49x3y6z2
49x3y4z2
The value of the cube root [tex]343x^9y^{12}z^6[/tex] is [tex]7x^3y^4z^2[/tex]
A number's cube root is a quantity that when multiplied by itself three or more times, returns the original quantity. The cube root of 27, represented as 327, for instance, is 3 because 3 x 3 x 3 = 27 = 33 when we multiply 3 by itself three times. As a result, we can state that the cube root yields a value that is essentially cubed. Thus, 27 is referred to as the ideal cube. We may deduce what the cube's root is from the word "cube root." It denotes the integer that brought about the cube under the root.
The cube root 0f [tex]343x^9y^{12}z^6[/tex]
[tex]\sqrt[3]{343x^9y^{12}z^6} \\\sqrt[3]{(7x^3y^4z^2)^3} \\\\\\7x^3y^4z^2[/tex]
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Triangle LMN is drawn with vertices at L(−3, −2), M(1, −4), N(−3, −4). Determine the image vertices of L′M′N′ if the preimage is rotated 90° clockwise.
L′(−3, −2), M′(1, −4), N′(−3, −4)
L′(−2, 3), M′(−4, −1), N′(−4, 3)
L′(3, 2), M′(−1, 4), N′(3, 4)
L′(2, 3), M′(4, −1), N′(4, 3)
QUICK HELP 30 POINTS
The image vertices of L′M′N′ are (-2, 3), (-4, -1), and (-4, 3).
What is preimage?
The set of all domain elements for a given function that map to a certain subset of the codomain; (formally) given a function X Y and a subset B Y, the set 1(B) = x X: x B.
Here, we have
Given: Triangle LMN is drawn with vertices at L(−3, −2), M(1, −4), N(−3, −4).
We have to determine the image vertices of L′M′N′ if the preimage is rotated 90° clockwise.
The rule for rotating a point (x, y) 90° clockwise is:
(x,y) ⇒ (y, -x)
The vertices of triangle LMN will be mapped to:
L(-3,-2) ⇒L' (-2, 3)
M(1,-4) ⇒ M'(-4, -1)
N(-3,-4) ⇒ N'(-4, 3)
Hence, the image vertices of L′M′N′ are (-2, 3), (-4, -1), and (-4, 3).
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reading to children fifty-eight percent of american children (ages 3 to 5 ) are read to every day by someone at home. suppose 5 children are randomly selected. what is the probability that at least 1 is read to every day by someone at home?
To calculate the probability that at least 1 of 5 randomly selected American children (ages 3 to 5) is read to every day by someone at home.
To find the probability that none of the 5 children are read to, we can use the fact that the probability that a single child is not read to every day is 1 - 0.58 = 0.42. We can then use the multiplication rule to find the probability that none of the 5 children are read to, which is (0.42)⁵ = 0.0075. Finally, we can use the complement rule to find the probability that at least 1 child is read to every day, which is 1 - 0.0075 = 0.9925. Therefore, the probability that at least 1 of 5 randomly selected American children (ages 3 to 5) is read to every day by someone at home is 0.9925.
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Darius wrote two integers on the chalkboard. The integers she wrote were 256 and -17. How much larger is 256 than -17?
Answer: 239
Step-by-step explanation:
Darius wrote 2 integers 256 and -17. The question is asking you to solve how much larger is 256 than -17. This means you will subtract 256 by -17 which will give you 239 (256-17). The answer remains positive because 256 is larger
Hope this helps
Answer: They are exactly 273 places away.
Step-by-step explanation:
If a number is larger than another number then you need to subtract it to get the distance. In this case, you look at the subtraction to see how far away they are.
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Have a blessed day!
if elisa gets an allowance of $30 per week and spends $10 of it on food and drink, $5 on entertainment and $5 on miscellaneous things, how much does she have available to put aside for savings each week?
Answer: She has 10$ to save
Step-by-step explanation:
Elsia has 30$ to start her week. She spent 10 on food and drink, (30-10=20) 5 on entertainment, (20-5=15), and 5 on Misc. things. (15-5=10). This means that the answer is 10.
Steps:
30-10=20
20-5=15
15-5=10
I hope it helped! :D
which events are independent? check all that apply.each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. sarah picks a number less than 5, keeps it, and then picks an odd number.
The events that are independent are,
1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.
2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.
3) Olivia choosing an ace and the dart hitting the bull's-eye
The events that are independent are:1) Henry rolling a multiple of 2 and landing on a red portion of the spinner.
2) Two pairs of socks being randomly chosen from a drawer, Hayden choosing a black pair of socks, putting them on, and then choosing another black pair.
3) Olivia choosing an ace and the dart hitting the bull's-eye.
The other events are dependent because the outcome of the first event affects the outcome of the second event. Specifically
1) Sarah picking a number less than 5 and then picking an odd number. The second event depends on the outcome of the first event.
2) A number cube being rolled and a spinner being spun. The two events are independent of each other, but the outcomes of each event are not independent.
3) Two cards being randomly chosen from a standard deck, and Eliza choosing a jack, replacing it, and then choosing a black card. The outcome of the second event depends on the outcome of the first event, and the outcome of the first event affects the composition of the deck for the second event.
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The given question is incomplete, the complete question is:
Which events are independent? Check all that apply. Each number 1 through 10 is written on a slip of paper, placed in a hat, and randomly picked. Sarah picks a number less than 5, keeps it, and then picks an odd number. A number cube is rolled and a spinner is spun. Henry rolls a multiple of 2 and lands on a red portion of the spinner. Two cards are randomly chosen from a standard deck. Eliza chooses a jack, replaces it, and then chooses a black card. Two pairs of socks are randomly chosen from a drawer. Hayden chooses a black pair of socks, puts them on, and then chooses another black pair. A card is randomly chosen from a standard deck and a dart is randomly thrown. Olivia chooses an ace and the dart hits the bull’s-eye.
the empirical rule says that 95% of the population is within 2 standard deviations of the mean, but when i find the z-scores that mark off the middle 95% of the standard normal distribution i calculate -1.96 and 1.96. is this a contradiction? why or why not? in other words why are the normal distribution calculators not agreeing with the empirical rule?
The empirical rule states that approximately 95% of the population lies within 2 standard deviations of the mean for a normal distribution, but you found that the z-scores that mark off the middle 95% of the standard normal distribution are -1.96 and 1.96. This does not represent a contradiction, and I will explain why is it so ?
The empirical rule, also known as the 68-95-99.7 rule, is a useful guideline to help us understand the proportions of data in a normal distribution. According to this rule, about 68% of the data falls within 1 standard deviation, 95% within 2 standard deviations, and 99.7% within 3 standard deviations. However, it is essential to note that the empirical rule is a simplified approximation.
On the other hand, the z-scores that you calculated, -1.96 and 1.96, are more precise values based on the actual standard normal distribution. These values come from a more accurate calculation using the cumulative distribution function (CDF) of the normal distribution, which gives the exact probability for any given range of z-scores.
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in a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 47 and a standard deviation of 5. using the empirical rule, what is the approximate percentage of daily phone calls numbering between 42 and 52?
Using empirical rule, the approximate percentage of daily phone calls numbering between 42 and 52 is 68%.
A statistical principle known as the empirical rule, also known as the three-sigma rule or 68-95-99.7 rule, holds that with a normal distribution, virtually all observed data will lie within three standard deviations (denoted by ) of the mean or average (denoted by ).
The empirical rule specifically states that 68% of observations will fall inside the first standard deviation, 95% will fall within the first two standard deviations, and 99.7% will fall within the first three standard deviations.
Mean = 47
SD = 5
Using Empirical Formula ,approximate percentage of daily phone calls numbering between 42 and 52
Normal Distribution has bell shape curve
The Empirical Rule states that in a normal distribution
68% of the data falls with in one standard deviation ( -1 to 1)
95% of data falls with in two standard deviations, and (-2 to 2)
99.7% of data falls with in three standard deviations from the mean. (-3 to 3)
z score = ( Value - mean)/SD
Calculate z score for 60
Z = (42 - 47)/5
Z = -1
Calculate z score for 66
Z = (52 - 47)/5
Z = 1
As data lies between -1 and 1 hence with in one standard deviation from the mean Hence using Empirical data approximate percentage of daily phone calls numbering between 42 and 52 is 68%.
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Please help
What is the value of x?
Enter your answer in the box.
X =
F
E
L
24
25
1
2 3 4 5
x is the base of given right angled triangle, which is calculated as 7 using the Pythagoras theorem.
Give a brief account on Pythagoras theorem.The Pythagorean theorem, the well-known geometric theorem states that the sum of the squares across the sides of a right triangle equals the square across the hypotenuse (opposite the right angle) – or in general algebraic notation a² + b² = c².
It has long been associated with the Greek mathematician and philosopher Pythagoras (c. 570-500/490 BC), but is actually much older. His four clay tablets in Babylonia, circa 1900 BC to his 1600. Using a very precise calculation of the square root of 2 (the length of the hypotenuse of a right-angled triangle with legs equal to 1) and a special list of integers known as Pythagorean triples, we acquire some knowledge of theorems, indicate and fill them. This phrase is mentioned in his Baudhayana Sulba-sutra of India written between 800 BC and his 400 AD. written.
Given,
DF = 24
DE = 25
Using Pythagoras theorem:
Hypotenuse² = Base² + Perpendicular²
25² = x² + 24²
x² = 25² - 24²
x² = 625 - 576
x² = 49
x = √49
x = 7
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Find the circumference of each circle.Use your calculators value of pi.Round your answer to the nearest tenth.
Answer:
5) 59.7 in
6) 39.0 mi
7)
8) 50.3 mi
Step-by-step explanation:
5) C = [tex]\pi (19)[/tex]
C = 59.7 in
6) C = [tex]2\pi (6.2)[/tex]
C = 39.0 mi
7) RADIUS IS CUT OFF
use C = [tex]2\pi r[/tex]
8) C = [tex]2\pi (8)[/tex]
C = 50.3 mi
according to a recent survey, 67% of cell-phone owners find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating. suppose we randomly select 5 cell-phone owners.
According to the question, "Suppose we randomly select 5 cell-phone owners. What is the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating?"The formula for finding the probability of an event is:P(E) = number of favorable outcomes/number of total possible outcomes.The given data in the question states that 67% of cell-phone owners find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating.
Therefore, the probability of any cell-phone owner checking their phone when it is not ringing or vibrating is:P(E) = 67/100 = 0.67To find the probability of 5 cell-phone owners checking their phones when they are not ringing or vibrating, we have to use the multiplication rule of probability. [tex]P(E₁∩E₂∩E₃∩E₄∩E₅) = P(E₁) × P(E₂) × P(E₃) × P(E₄) × P(E₅)P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.67 × 0.67 × 0.67 × 0.67 × 0.67P(E₁∩E₂∩E₃∩E₄∩E₅) = 0.2197[/tex]
Therefore, the probability that all 5 of them find themselves checking their phone for messages, alerts, or calls even when they don't notice their phone ringing or vibrating is approximately 0.2197 or 22%.
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Ex. 1: Last year, the price of a lawnmower was $358.99. The same model sells
for $329.99 this year. What is the percent change in the price of the
over the 2 years? Round your answer to the nearest tenth.
lawnmower
The percent change in the price of the lawnmower over the 2 years is -8.1%.
Calculating the percentage changeTo find the percent change in the price of the lawnmower over the 2 years, we can use the formula:
percent change = (new value - old value) / old value * 100%
Plugging in the values given in the problem, we get:
percent change = (329.99 - 358.99) / 358.99 * 100%
percent change = -8.1%
Therefore, the percent change in the price of the lawnmower over the 2 years is -8.1%. Note that the negative sign indicates a decrease in price.
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