The probability that the department store will get at most 3 calls in a 55 minute period is 0.066
The Poisson distribution is a discrete probability function that means the variable can only take specific values in a given list of numbers, probably infinite. A Poisson distribution measures how many times an event is likely to occur within “x” period of time.
It is given that a department store gets an average of 16 calls in a 2 hour or 161055 = 223 calls per minute
Find the probability by Poisson distribution with parameter
λ = 223
P(X = x) = λˣе - λx!
P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)
= (223)⁰е - 223(0!) +(223)¹е - 223(1!) +(223)²е - 223(2!) +(223)³е - 223(3!)
= 0.0006 + 0.004 + 0.018 + 0.043
P(X ≤ 3) ≈ 0.066
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jordan spends 75 minutes drawing & writing his comic book everyday. He draws for 25 minutes longer than he writes.
The number of minutes spent on drawing and writing a comic book will be 50 minutes and 25 minutes, respectively.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
Let 'x' and 'y' be the number of minutes spent on drawing and writing a comic book, respectively. Then the equations are given as,
x + y = 75 ....1
x = y + 25 ....2
From equations 1 and 2, then we have
y + 25 + y = 75
2y = 50
y = 25 minutes
Then the value of 'x' is given as,
x = 25 + 25
x = 50 minutes
The number of minutes spent on drawing and writing a comic book will be 50 minutes and 25 minutes, respectively.
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21. Given h(x) = -x-14, if h(x) = -2, find x.
Answer:
Step-by-step explanation:
stop searching answers poopers use ur mind
Answer:
-12
Step-by-step explanation:
Substitute x with -2
-(-2)-14
2-14 = -12
in a magnetometry experiment, after a minute of collecting data the statistical noise was reduced to 1 picotesla. for how many more minutes should data be collected in order to reduce the random error by a factor of 10
In a magnetometry experiment, It will take 1 more minute for data be collected in order to reduce error the statistical noise by a factor of 10.
To reduce the random error by a factor of 10, we need to reduce the statistical noise to 1/10 picotesla. Since the statistical noise was initially 1 picotesla, this means we need to reduce it by a factor of 10.
We can use the following formula to calculate the time needed to reduce the statistical noise by a certain factor:
t = (log (final noise / initial noise)) / (log (reduction factor))
Here, the final noise is 1/10 picotesla, the initial noise is 1 picotesla, and the reduction factor is 10.
Plugging in these values, we get:
t = (log (1/10 / 1)) / (log (10))
t = (log (1/10)) / (log (10))
t = -1 / 1
t = -1
The negative value of t doesn't make sense in this context, so we need to take the absolute value:
t = |-1|
t = 1
Therefore, it will take 1 more minute to reduce the statistical noise by a factor of 10.
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____The given question is incomplete, the complete question is given below:
Reduction of the standard error
In a magnetometry experiment, after a minute of collecting
data the statistical noise was reduced to 1 picotesla.
For how much longer should data be collected in order
to reduce the random error by a factor of 10?
a car depreciated 1000 each year it was owed and driven. what type of depreciation is this?
Answer:
Straight line Depreciation
Problem #1 - Luca went
grocery shopping for
some last-minute picnic
supplies. He knows that
the sliced turkey was
$3.50 per 1 1/4-pounds
and coleslaw was $1.35
per 1/2 pound. How
much would it cost him if
he bought 3 pounds of
turkey and 1 1/2 -pounds
of coleslaw?
Problem #2 - Fill in the
Why?
The required it would cost $12.45 to buy 3 pounds of turkey and 1 1/2 pounds of coleslaw.
What are expression models?The expression model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
To calculate the cost of the turkey, we need to find the price per pound and then multiply it by the number of pounds. The price per pound is,
= $3.50 ÷ (1 1/4 pounds)
= $2.80 per pound
To find the cost of 3 pounds of turkey, we can multiply the price per pound by the number of pounds:
= 3 pounds × $2.80 per pound = $8.40
To find the cost of the coleslaw, we can simply multiply the price per half pound by the number of half pounds,
1 1/2 pounds = 3 half pounds
= 3 half pounds × $1.35 per half pound
= $4.05
Finally, we can add the cost of the turkey and the coleslaw to find the total cost:
$8.40 + $4.05 = $12.45
Therefore, it would cost $12.45 to buy 3 pounds of turkey and 1 1/2 pounds of coleslaw.
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Rahul drives 10 miles in 20 minutes. If he drove three hours in total at the same rate, how far did he go?
Before you try that problem, answer the question below.
How many minutes did Rahul drive in total?
180
180
How far would Rahul drive in 180 minutes?
The distance travelled by Rahul at a speed of 0.5 miles/min in 180 minutes is 90 miles.
What is meant by the speed of an object?
A scalar quantity, speed is defined as the magnitude of the change in an object's location over time. The rate at which an object travels a distance can be thought of as its speed. A fast-moving object travels at a high speed and completes a significant distance in a brief period of time. This is in contrast to an object travelling slowly, which travels a relatively short distance in the same length of time. Zero speed refers to an object that is not moving at all.
The formula of speed = Distance covered /Time taken
Given,
Distance travelled = 10 miles
Time taken to travel 10 miles = 20 minutes
Speed = Distance/ time = 10/20 = 0.5miles/min
Now given the speed remains constant throughout the journey.
So the distance travelled in 3 hours = 3 * 60 = 180 minutes
Distance = speed * time = 0.5 * 180 = 90 miles.
Therefore the distance travelled by Rahul at a speed of 0.5 miles/min in 180 minutes is 90 miles.
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A cylinder has a radius of 2.5meters. Its volume is 37.5\pi cubic meters. What is the height of the cylinder?
Answer: height = 1.91 m
Step-by-step explanation: Using the formula
V=πr2h
Solving for h
h=V
πr2=37.5
π·2.52≈1.90986m
c. 3x - y = 7
y = 3x - 2
Answer:
Step-by-step explanation:
3x- (3x-2)=7
- (3x-2) = -3x+2
3x-3x=0x
so the answer is zero or imposible becasue nothing can be times by zero
State if the lines are Parallel, Perpendicular, or Neither. 6x-12y=24 4x+2y=8
Answer:
Step-by-step explanation:
The lines are neither parallel nor perpendicular.
Two lines are parallel if and only if they have the same slope. Two lines are perpendicular if and only if the product of their slopes is -1.
To find the slope of a line given in the form of Ax + By = C, we can rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.
The first line, 6x - 12y = 24, can be rearranged into slope-intercept form as follows:
12y = -6x + 24
y = -0.5x + 2
The slope of the first line is -0.5.
The second line, 4x + 2y = 8, can be rearranged into slope-intercept form as follows:
2y = -4x + 8
y = -2x + 4
The slope of the second line is -2.
Since the product of the slopes is not -1, the lines are not perpendicular. And since the slopes are not the same, the lines are not parallel. So, the lines are neither parallel nor perpendicular.
How many digits of the form x15y is di ivsble by 15
There are a total of 8 + 7 = 15 digits of the form x15y that are divisible by 15.
A number is divisible by 15 if and only if it is divisible by both 3 and 5.For a number of the form x15y to be divisible by 5, y must be either 0 or 5.
For a number of the form x15y to be divisible by 3, the sum of its digits must be divisible by 3. Since the sum of the digits is x + 1 + 5 + y = x + y + 6, x + y must be either 0, 3, 6, 9, 12, or 15.
So, we need to find all possible values of x and y such that x + y is one of these six values, and y is either 0 or 5.
If y = 0, then x must be one of the numbers 0, 3, 6, 9, 12, 15, 18, or 21, for a total of 8 possibilities.
If y = 5, then x must be one of the numbers 2, 5, 8, 11, 14, 17, or 20, for a total of 7 possibilities.
Therefore, there are a total of 8 + 7 = 15 digits of the form x15y that are divisible by 15.
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A line is drawn tangent to a circle of radius 8 with the origin as its center, passing through the paint (12,0). Find the point where the line touches the circle. NOTE: the tangent line will be perpendicular to the radical line from the origin to the tangent point. Use the relation between the slopes to find the point
The radius line intersects the circle at (4, 8) because the tangent line's slope, which is -1/3, is perpendicular to the radius line's slope of (0, 8), which is 0.
1. Use m = 0 to calculate the slope of the line through point (12, 0).
2. Calculate the radical line's angle between the origin and the tangent point: m = ∞
3. To determine the location where the line touches the circle, use the relationship between the slopes: M2 = -1/M1 = -1/0 = - since M1 M2 = -1
4. To determine a point's coordinates, use the equation for a circle: (x - 8)2 + (y - 8)2 = 82, so (4, 8) (4, 8)
We can use the relationship between the slopes of the tangent line and the radical line from the origin to the tangent point to determine the location where the line contacts the circle. Since the tangent line crosses through point (12,0), its slope is equal to zero. Since the radical line slopes at m2 =, m1 m2 = -1. Accordingly, m2 = -1/m1 = -1/0 = -∞.The coordinates of the spot where the line touches the circle can then be determined using the equation for a circle. (x - 8)2 + (y - 8)2 = 82 is the equation for a circle having the origin as its center and a radius of 8. The coordinates of the place where the line intersects the circle are (4, 8), which can be obtained by substituting in the values for m1 and m2.
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The ratio of the sides of a triangle are 3:5:12. If the perimeter of the triangle is 100 units, determine the length of the shortest side.
The measure of the length of the shortest side will be 15 units.
What is a ratio?If b is not equal to 0, an ordered pair of numbers a and b, denoted as a / b, is a ratio. How frequently one value contains or is contained within another is shown by the numerical connection between the two values.
Given that the perimeter of the triangle is 100 and the ratio of the sides of the triangle is 3:5:12.
The length of the shortest side will be calculated as:-
3x + 5x + 12x = 100
20x = 100
x = 20
Length = 3x
Length = 3 x 5 = 15 units
Hence, the shortest side will be 15 units.
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A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle
The area of the rectangle can be expressed as a fraction by multiplying 3/4 and 5/12. The answer is 5/16, which represents the area of the rectangle.
1. Multiply the length and width of the rectangle: 3/4 x 5/12 = 15/48
2. Reduce the fraction to its simplest form: 15/48 = 5/16
3. The answer is 5/16, which represents the area of the rectangle.
To find the area of a rectangle, you need to multiply the length and width of the rectangle together. In this case, the rectangle is 3/4 of a foot long and 5/12 of a foot wide. To express the area as a fraction, you need to multiply the two fractions together. 3/4 x 5/12 = 15/48. Since 15 and 48 have a common factor of 3, the fraction can be reduced to its simplest form, 5/16. Therefore, the area of the rectangle can be expressed as 5/16. This fraction represents the area of the rectangle.
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The complete question is
A rectangle is 3/4 of a feet long and 5/12 of a feet wide. What fraction represents the area of the rectangle of a feet wide.
The temperature in Wintergreen Resort in Virginia fell from 15.8
degrees Celsius to - 2.7 degrees Celsius. What is the difference
between the two temperatures?
The term "difference" os the result of subtracting one number from another.
So in other terms you want to know what would be the result of subtracting -4.6 from 13.5 :
13.5 - -4.6 = Difference between the two temperatures
Two minus signs turn into a positive sign so :
13.5 - -4.6 =
13.5 + 4.6 =
18.1 = Difference between the two temperatures
Your answer is : The difference between the two temperatures is 18.1
Ann spent 50% of her allowance on food 30 % of it on stationary and saved the remaining amount her allowance was $15 how much money did she save
At the end, Ann saves a total amount of 3 dollars according to the money she spent and on allowance according to the percentages.
Total Allowance of Ann = 15 dollars
Spent on food by Ann = [tex]\frac{15}{100}[/tex]*50
On food = 50 × [tex]\frac{15}{100}[/tex] = 7.5 dollars
Spent on stationary = 30% of Allowance
On stationary = 30 X[tex]\frac{15}{100}[/tex] = 4.5 dollars
Therefore, Money saved by Ann = Total Allowance - Money spent
Money saved = 15 dollars - 7.5 dollars - 4.5 dollars = 15-(7.5+4.5) dollars
Money saved = 3 dollars
Therefore, money saved by Ann is 3 dollars.
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Find the zeros of g(x) = 2x² + 32.
The zeros of g are x =
and x =
Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off she found online. She selects and purchases a $35 pair of jeans, pre-discount. Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration Jeffs surplus: date and gives him an extra 75% off.
Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
Let's calculate the final amount paid by Alice and Jeff for their purchases.
Alice:
Alice has a budget of $30 for a pair of jeans, and a coupon for $10 off.The price of the jeans she selects is $35 before the coupon.To find the final price she paid, we need to subtract the coupon discount from the original price of the jeans: $35 - $10 = $25.So Alice paid $25 for her pair of jeans.Jeff:
Jeff finds a pack of steaks for $16 and is willing to pay up to $20.This means he has a surplus of $20 - $16 = $4 that he is willing to spend on the steaks.The butcher notices the meat is near the expiration date and gives Jeff an extra 75% off.To calculate the discount, we first need to find 75% of the original price: 0.75 * $16 = $12.So Jeff gets a discount of $12, and the final price he paid is the original price minus the discount: $16 - $12 = $4.Therefore, Jeff paid $4 for the steaks.So, Alice paid $25 for her pair of jeans, and Jeff paid $4 for the steaks.
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Consider the line y : 3x-8.
2
Find the equation of the line that is perpendicular to this line and passes through the point (8,
- 4).
Find the equation of the line that is parallel to this line and passes through the point (8, -4).
Answer:
Step-by-step explanation:
Perpendicular line will have a slope that is the negative reciprocal so slope of 3 becomes - [tex]\frac{1}{3}[/tex].
then use point slope:
y - y = m(x - x)
Use the 2 points (8, -4)
y - -4 = -[tex]\frac{1}{3}[/tex] (x - 8)
y + 4 = -[tex]\frac{1}{3}[/tex] (x - 8)
y + 4 = -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
y + 4 - 4 = -[tex]\frac{1}{3}[/tex]x - [tex]\frac{4}{3}[/tex]
y = - [tex]\frac{1}{3}[/tex]x - [tex]\frac{4}{3}[/tex]
Parallelline will have the same slope m = 3.
use point slope again
y - -4 = 3(x -8)
y + 4 = 3x - 24
y + 4 -4 = 3x - 24 -4
y = 3x -28
suzy borrows $4500 and agrees to repay it all in equal monthly instalments over 3 years. Simple interest at 7.2% p.a is charged on a loan. find the amount of each instalment
The amount of Suzy's instalment every month if it is agreed to repay equal amount monthly is $152
What is the amount of each instalment?Simple interest = principal × rate × time
= 4500 × 0.072 × 3
= $972
Total amount to repay = $4500 + $972
= $5472
Repayment time = 3 years
Suzy will repay every month
3 years= 12 months × 3
= 36 months
Since,
the repayment is equal every month
Amount of instalment every month= $5472 / 36
= $152
Therefore, Suzy will repay $152 each month instalmentally.
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choose the best data type for each of the following so that any reasonable value is accommodated but no memory storage is wasted. give an example of a typical value that would be held by the variable, and explain why you chose the type you did.
a. The best data type for the number of siblings would be an integer.
An example of a typical value for this variable would be 3, as someone might have 3 siblings. An integer is the best data type because the number of siblings is a whole number and can never be a fraction or a negative number.
b. The best data type for the final grade in this class would be a floating-point number. An example of a typical value for this variable would be 85.5, as a final grade may include decimal points. A floating-point number is the best data type because a final grade can have a decimal point and may include fractions.
c. The best data type for the population of Earth would be a long integer. An example of a typical value for this variable would be 7,794,798,739, as of the year 2020. A long integer is the best data type because the population of Earth is a large number and cannot be expressed using a regular integer.
d. The best data type for the population of a U.S. county would be an integer. An example of a typical value for this variable would be 100,000, as the population of a county can vary greatly. An integer is the best data type because the population of a county is a whole number and can never be a fraction or a negative number.
e. The best data type for the number of passengers on a bus would be an integer. An example of a typical value for this variable would be 20, as a bus can carry a varying number of passengers. An integer is the best data type because the number of passengers on a bus is a whole number and can never be a fraction or a negative number.
f. The best data type for one player's score in a Scrabble game would be an integer. An example of a typical value for this variable would be 45, as a score in Scrabble is calculated in whole numbers. An integer is the best data type because a score in Scrabble is a whole number and can never be a fraction or a negative number.
g. The best data type for one team's score in a Major League Baseball game would be an integer. An example of a typical value for this variable would be 7, as a team's score is calculated in whole numbers. An integer is the best data type because a team's score is a whole number and can never be a fraction or a negative number.
h. The best data type for the year a historical event occurred would be an integer. An example of a typical value for this variable would be 1776, as the year the United States declared independence. An integer is the best data type because a year is a whole number and can never be a fraction or a negative number.
i. The best data type for the number of legs on an animal would be an integer. An example of a typical value for this variable would be 4, as many animals have four legs. An integer is the best data type because the number of legs an animal has is a whole number and can never be a fraction or a negative number.
j. The best data type for the price of an automobile would be a floating-point number. An example of a typical value for this variable would be $25,000.50, as a price for a car can include decimal points. A floating-point number is the best data type because the price of a car can have a decimal point and may include fractions.
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what is the standard error? group of answer choices the standard error is the standard deviation of the sampling distribution the standard error is a measure of how representative a sample statistic is likely to be of the population parameter. the standard error is calculated using the standard deviation of the sample all of the options describe the standard error.
The correct option is "the standard error is the standard deviation of the sampling distribution." Correct option is A.
The standard error is a measure of the variability of a sampling distribution, which is the distribution of sample statistics (e.g., mean, proportion) that would be obtained from multiple random samples of the same size from the same population.
The standard error represents the standard deviation of the sampling distribution, and it provides a measure of the precision of the sample statistic in estimating the population parameter.
The standard error is not the same as the standard deviation of the sample, which is a measure of the variability of the individual observations in the sample.
The standard deviation of the sample is typically used to estimate the standard deviation of the population, while the standard error is used to estimate the variability of the sample statistic and to construct confidence intervals or perform hypothesis tests.
While the other options are related to the concept of the standard error, they are not equivalent or fully accurate descriptions of what the standard error represents.
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Complete question is:
What is the standard error?
group of answer choices
A. the standard error is the standard deviation of the sampling distribution
B. the standard error is a measure of how representative a sample statistic is likely to be of the population parameter.
C. the standard error is calculated using the standard deviation of the sample all of the options describe the standard error.
a plane left kennedy airport on tuesday morning for a 595-mile, 5-hour trip. for the first part of the trip, the average speed was 110 mph. for the remainder of the trip, the average speed was 125 mph. how long did the plane fly at each speed? first part of trip h second part of trip h
The plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.
The first step in solving this problem is to recognize that we can use the formula
=> speed = distance/time
to find the time it took for the plane to travel at each speed. Let's denote the time the plane traveled at the first speed (110 mph) as t1, and the time it traveled at the second speed (125 mph) as t2.
We know that the total distance traveled was 595 miles, and the total time taken was 5 hours. Using the formula for average speed, we can write:
Average speed = total distance / total time
Therefore,
Average speed = 595 / 5 = 119 mph
Now we can use the information about the two speeds to set up a system of equations. The first equation relates the total distance traveled at the first speed to the time it took:
110t₁ = d₁
where d1 is the distance traveled at the first speed. Similarly, the second equation relates the total distance traveled at the second speed to the time it took:
125t₂ = d₂
where d₂ is the distance traveled at the second speed.
The total time taken is the sum of the times taken at each speed:
t₁ + t₂ = 5
We now have three equations and three unknowns (t₁, t₂, and d₂). We can use the first two equations to eliminate d₁ and d₂, and then solve for t₁ and t₂.
Multiplying the first equation by 125/110, we get:
125/110 * 110t₁ = 125/110 * d₁
125t₁/110 = d₂
Substituting d₂ in the third equation, we get:
t₁ + 125t₁/110 = 5
Multiplying both sides by 110, we get:
121t₁ = 550
Solving for t₁, we get:
t₁ = 4.55 hours
Substituting t₁ in the third equation, we get:
t₂ = 0.45 hours
Therefore, the plane flew at 110 mph for 4.55 hours and at 125 mph for 0.45 hours.
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Complete Question:
A plane left Kennedy Airport tuesday morning for a 595−mileˏ 5−hour trip.
For the first part of the tripˏ the average speed was 110 mph.
For the remainder of the tripˏ the average speed was 125 mph. How long did the plane fly at each speed.
Sorry for the grease LOL was eating a big mac also this is urgent
Jada's grandparents started a savings account for her in 2010. The table shows the
amount in the account each year.
If this relationship is graphed with the year on the horizontal axis and the amount in
dollars on the vertical axis, what is the vertical intercept? What does it mean in this
context?
2
year
2010
2012
2014
2016
1gnibasi
Seadsh
amount in dollars
The vertical intercept for the table showing the relationship for Jada's grandparents starting a savings account for her is starting savings amount in the account of $ 600.
What is the vertical intercept in a graph ?The vertical intercept in a graph is the point where a line intersects the vertical axis of the coordinate plane. It represents the value of the dependent variable (y) when the independent variable (x) is equal to zero.
The vertical intercept would therefore be first amount in the savings account by Jada's grandparents which is the $ 600. This is the amount when x = 0 or rather when x was the starting year of 2006.
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When Jackie woke up, the temperature was 70 °F. For the next 5 hours, the temperature rose by 4 °F each hour. Write an equation in the form y = mx + b that Jackie can use to find the temperature x number of hours after she woke up.
An equation to find the temperature after x number hours of waking up for Jackie is Temperature ( x ) = 4 x + 70
How to find the equation ?The equation which takes the form y = mx + b means that in relation to the temperature when Jackie woke up:
y = current temperature after x hours
x = number of hours after waking up
m = change in temperature per hour
b = starting temperature when Jackie woke up
The equation to find the temperature after x hours is therefore:
Temperature ( x ) = 4 x + 70
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Which proportion can be used to find the length of sides ik
The proportion i/k = 12 can be used to find the length of sides i and k if the perimeter is 12 units. To solve for the length of each side, the equation i + k = 12 is used, and then the two sides are divided by each other to get the proportion i/k = 12.
The proportion i/k = 12 can be used to find the length of sides i and k of a shape if the perimeter is 12 units. In order to solve for the length of each side, the equation i + k = 12 is used to determine the sum of the sides. The two sides are then divided by each other, resulting in the proportion i/k = 12. This proportion can then be used to find the length of sides i and k. For example, if the length of side i is 8, then the length of side k is 4. This can be determined by dividing 8 by 4, which results in the proportion i/k = 2. If the perimeter is 12 units, then the equation i + k = 12 can be used to determine that the length of side i is 6 and the length of side k is 6, since 6 + 6 = 12. The proportion i/k = 12 can then be used to confirm that the length of side i is 6 and the length of side k is 6.
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The complete question is
Which proportion can be used to find the length of sides ik if the perimeter is 12 units?
A used car lot sold 84 vehicles last month, and 8 of them were minivans. What is the experimental probability that the next vehicle sold will be a minivan?
Write your answer as a fraction or whole number.
Answer:
2/21
simplify 8/84
Answer:
The experimental probability of the next vehicle sold being a minivan is 8/84 = 1/10.
Step-by-step explanation:
The experimental probability of an event can be calculated by dividing the number of successful outcomes by the total number of trials. In this case, we want to find the probability of selling a minivan, so we want to find the number of minivans sold divided by the total number of vehicles sold.
Therefore, the experimental probability can be calculated as follows:
Number of minivans sold / Total number of vehicles sold = 8 / 84
So, the experimental probability that the next vehicle sold will be a minivan is 8/84.
**EASY POINTS** There is a circular running path in the park. The diameter of the circle is 350 m. What is the length of one lap around the park?
Answer:
1099
Step-by-step explanation:
350*pi=1099
Translate the following sentence into an equation: "The product of 3 and x increased by 7 equals 25 ."
Andrew ran 0.75 miles at basketball practice.
Write 0.75 miles as a fraction in simplest form.
of a mile
Write 0.75 miles as a percent.
% of a mile
Answer:
Fraction 3/4 percent 75%
Step-by-step explanation:
.75 in simplest form is 3/4
80% of a number is x. What is 100% of the number? Assume x>0
100% of the number is: the number x ÷ 0.8 × 1 = the number If 80% of a number is x, then the number can be found by dividing x by the percentage as a decimal.
To convert a percentage to a decimal, divide the percentage by 100.
So, if 80% of the number is x, then:
x ÷ 0.8 = the number
In other words, to find the whole number, we need to divide the part (x) by the percentage as a decimal (0.8).
Once we have the whole number, we can find 100% of it by simply multiplying the whole number by 1.
So, 100% of the number is:
the number x ÷ 0.8 × 1 = the number
In conclusion, if 80% of a number is known, the whole number can be found by dividing the part by the percentage as a decimal, and 100% of the number can be found by simply multiplying the whole number by 1. Understanding the concept of percentage and the ability to convert between percentages, decimals, and whole numbers is an important skill in various areas of life and work.
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