Answer:
Here's an example:
convert 2.5 into a mixed number.
Make the denominator less than the original.
The easy way for this is to do 25/10
when you put it through a calculator it ends up being 2.5
(essentially the mixed number and the decimal are the SAME numbers.)
Hope this clarified. :)
To convert a decimal to a mixed number, follow these steps:
Step 1: Identify the whole number part of the decimal. This is the part of the decimal before the decimal point.
Step 2: Identify the decimal part. This is the part of the decimal after the decimal point.
Step 3: Express the decimal part as a fraction by using the place value of the last digit.
Step 4: Simplify the fraction, if possible, by finding the greatest common divisor (GCD) of the numerator and denominator and dividing both by it.
Step 5: Combine the whole number part, the fraction, and simplify if necessary.
Here's an example:
Let's say we have the decimal 2.75.
Step 1: The whole number part is 2.
Step 2: The decimal part is 0.75.
Step 3: To express 0.75 as a fraction, we write it as 75/100. Since 75 and 100 have a common factor of 25, we can simplify it to 3/4.
Step 4: The fraction 3/4 is already in its simplest form.
Step 5: Combining the whole number part and the fraction, we have 2 3/4.
So, the decimal 2.75 can be written as the mixed number 2 3/4.
Remember to always simplify the fraction part if possible.
An import company brought into the country some amplifiers that cost sh. 3,750-each. The government imposed an import duty of 125% and a sales tax of 20 %. If the company decided to make a 10% profit on the sales, calculate the selling price of each amplifier.
Answer:
To calculate the selling price of each amplifier, we need to consider the cost, import duty, sales tax, and the desired profit margin.
Cost of each amplifier: sh. 3,750
Import duty of 125% on the cost:
Import duty = 125% of sh. 3,750
= 125/100 * sh. 3,750
= sh. (125/100 * 3,750)
= sh. 4,687.50
Cost of each amplifier including import duty:
Total cost = Cost + Import duty
= sh. 3,750 + sh. 4,687.50
= sh. 8,437.50
Sales tax of 20% on the total cost:
Sales tax = 20% of Total cost= 20/100 * sh. 8,437.50
= sh. (20/100 * 8,437.50)
= sh. 1,687.50
Total cost including sales tax:
Total cost = Total cost + Sales tax
= sh. 8,437.50 + sh. 1,687.50
= sh. 10,125
Desired profit margin of 10% on the total cost:
Profit = 10% of Total cost
= 10/100 * sh. 10,125
= sh. (10/100 * 10,125)
= sh. 1,012.50
Selling price of each amplifier:
Selling price = Total cost + Profit
= sh. 10,125 + sh. 1,012.50
= sh. 11,137.50
Given the graphs of y = f(x) and y = g(x),
g(x) = f(x) +
expresses g(x) in terms of f(x)
The expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
To express the function g(x) in terms of f(x), we need to understand the relationship between the two functions.
The given expression g(x) = f(x) + indicates that the function g(x) is obtained by adding a certain value or expression to the function f(x). expression for g(x) in terms of f(x).
In general, if we have the function g(x) = f(x) + c, where c is a constant value, then g(x) can be expressed in terms of f(x) as:
g(x) = f(x) + c
In this case, g(x) is obtained by adding the constant value c to the corresponding values of f(x).
It's important to note that without additional information about the specific relationship between f(x) and g(x), such as a functional equation or given values, we cannot provide a more precise expression for g(x) in terms of f(x).
Therefore, the expression g(x) = f(x) + represents the relationship between the two functions expression for g(x) in terms of f(x).
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Answer: 3
Step-by-step explanation: just 3
Edge 2020
nt- Maths ACSF Level 3
Your mum has saved $12,000 and has agreed to give you a share.
Would you rather have
1/5 or 1/10
Ms. Florinda is a kindergarten teacher. She buys 100 pencils and wants to give 2 pencils to each of her students. She has 2 classes, a class with 22 students and a class with 19 students.
Part A
Write an expression for how many pencils she has left after giving them out to her students.
A.
100
−
2
×
(
22
−
19
)
B.
100
−
2
×
22
−
19
C.
100
−
2
×
22
−
2
×
19
D.
100
−
22
−
19
Part B
Does she have enough pencils to give each of her students 2?
Yes or no
, she has
15,18,37,59
More or fewer
than she needs.
Answer:
Part A:
The correct expression for how many pencils Ms. Florinda has left after giving them out to her students is:
A. 100 - 2 × (22 - 19)
Part B:
To determine whether Ms. Florinda has enough pencils to give each of her students 2, we can calculate the total number of pencils needed. The total number of students is the sum of the students in both classes, which is 22 + 19 = 41.
If each student needs 2 pencils, then the total number of pencils needed is 2 × 41 = 82.
Comparing this with the initial number of pencils Ms. Florinda bought (100), we can see that she has more than enough pencils to give each of her students 2.
Yes, she has enough pencils to give each of her students 2.
She has 18 more than she needs.
What is the slope of the Line y=-3x+2
Answer:
m = -3
Step-by-step explanation:
The slope-intercept form is y = mx + b
m = the slope
b = y-intercept
The equation is y = -3x + 2
m = -3
So, the slope of the line is -3
Answer:
The slope is -3
Step-by-step explanation:
You were given the easiest form of linear equation, the slope-intercept form, because these are the ones that directly tell you the slope and the y-intercept.
y=mx+b, Where m is the slope and b is the y-intercept.
Find the area of the triangle below be sure to include the correct unit in your answer.
Answer:
Step-by-step explanation:
Assume that at the current exchange rate, the British pound is worth $1.65 in American dollars. You have some dollar bills and several British pound coins. There are 17 items altogether, which have a total value of $20.25 in American dollars. How many American dollars and how many British pound coins do you have?
Answer:
So we have $11.64 in American dollars and £5 in British pound coin
Step-by-step explanation:
To solve this problem, we can use a system of equations. Let x be the number of American dollars and y be the number of British pound coins. Then we have:
x + y/1.65 = 20.25 (since each British pound coin is worth 1.65 American dollars)
x = 17 - y (since there are 17 items altogether)
Substituting the second equation into the first, we get:
(17 - y) + y/1.65 = 20.25
Multiplying both sides by 1.65, we get:
28.05 - y + y = 33.4125
y = 33.4125 - 28.05
y = 5.3625
Therefore, we have 5 British pound coins and:
x = 17 - y = 17 - 5.3625 = 11.6375
Mia makes $15.50 per hour. For the Memorial holiday she worked 6 hours and 30 minutes on Friday. On Saturday, she worked for 1 hour and 10 minutes less than she did on Friday and on Monday she worked 4 hours and 10 minutes. How much money did Mia make for the Memorial holiday?
Answer:
$248.00
Step-by-step explanation:
Hours worked on Friday: 6 hr and 30 min = 6.5 hr
Money earned on Friday: $15.5/hr x 6.5 hr = $100.75
Hours worked on Saturday: 6.5 hr - 1.167 hr = 5.33 *10 min = 10/60 = 0.1667 hr
Money earned on Saturday: $15.50 x 5.33 hr = $82.67
Hours worked on Monday: 4.167 hr
Money earned on Monday: $15.50/hr x 4.167 hr = $64.58
Total money made: 100.75 + 82.67 + 64.58 = $248.00
Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: ∠NYR and ∠RYA form a linear pair, ∠AXY and ∠AXZ form a linear pair, ∠RYA≅∠AXY
If you are using a screen-reader, please consult your instructor for assistance.
Prove: ∠NYR≅∠AXY
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠NYR and ∠RYA are supplementary
m∠NYR+m∠RYA=180
∠AXY and ∠AXZ are supplementary If two angles form a linear pair, then they are supplementary angles
Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
∠RYA≅∠AXY
m∠NYR+m∠RYA=m∠AXY+m∠RYA Substitution Property of Equality
m∠NYR=m∠AXY
≅
Answer:
Step Reason
∠NYR and ∠RYA form a linear pair
∠AXY and ∠AXZ form a linear pair Given
∠RYA≅∠AXY Given
∠NYR and ∠RYA are supplementary Definition of Linear Pair
If two angles form a linear pair, then they are supplementary angles Definition of Linear Pair
∠NYR and ∠AXY are supplementary Transitive Property of Equality
m∠NYR+m∠RYA=180
m∠AXY+m∠AXZ=180 Definition of Supplementary Angles
m∠NYR+m∠RYA=m∠AXY+m∠AXZ Substitution Property of Equality
m∠NYR+m∠RYA=m∠NYR+m∠AXZ Substitution Property of Equality
m∠RYA=m∠AXZ Subtraction Property of Equality
∠NYR and ∠AXY are supplementary Definition of Supplementary Angles
m∠NYR+m∠AXY=180
m∠NYR+m∠RYA=m∠NYR+m∠AXY Substitution Property of Equality
m∠RYA=m∠AXY Subtraction Property of Equality
∠NYR≅∠AXY Definition of Congruent Angles.
the month net salary rate of a married secondary level teacher of 4 grade is Rs 43,689. s/he gets Rs 1,456 for one grade , Rs 2,000 for dearness allowance in every month and one month salary for festival allowance at once. 10% of his/her monthly salary is deposited in employee's provident fund (EPF), 10% in citizen investment fund (CIF) and Rs 400 in life insurance in each month. the government deposits the same EPF and insurance premium amounts in the related offices
1) find his/her assessable income
2) find his/her total income tax
Answer:
Step-by-step explanation:
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
We have,
The monthly basic salary of the married Chief Secretary of Nepal Government is given as Rs 74,000.
This is the fixed amount he receives as his base salary every month, before any additional allowances or deductions are considered.
Now,
In this case, the dearness allowance of Rs 2,000 is added to the basic salary.
This allowance is provided to compensate for the rising cost of living and is a fixed amount added to the basic salary.
Additionally, he receives 1 month's basic salary as a festival allowance. Since his monthly basic salary is Rs 74,000, his festival allowance would also be Rs 74,000.
Therefore, his total monthly salary can be calculated as follows:
Basic salary + Dearness allowance + Festival allowance
= Rs 74,000 + Rs 2,000 + Rs 74,000
= Rs 1,50,000
Thus,
The Chief Secretary's total monthly salary, including basic salary, dearness allowance, and festival allowance, is Rs 1,50,000.
in this chart, × is the length of a persons forearm in centimeters and y is the persons height in centimeters. the question is if someones forearm (x) is 24.5 cm, how tall would they be? how do i find this? and how would i make a linear regression graph? thanks
The height of a person whose length of forearm is 24.5 cm is equal to 163.38 centimeters.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the length of forearm on the x-axis of a scatter plot while height would be plotted on the y-axis of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot;
y = 3.01x + 89.63
Based on the equation of the line of best fit above, the height of a person whose length of forearm is 24.5 cm can be determined as follows;
y = 3.01x + 89.63
y = 3.01(24.5) + 89.63
y = 163.375 ≈ 163.38 centimeters.
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What is the five-number summary for the data set? 73, 62, 90, 28, 45, 90
Answer:
it's easy
Step-by-step explanation:
first take a deep breath and then search it
A population of a particular yeast cell develops with a constant relative growth rate of 0.4465 per hour. The initial population consists of 3.3 million cells. Find the population size (in millions of cells) after 4 hours. (Round your answer to one decimal place.)
Starting with an initial population of 3.3 million yeast cells and a constant relative growth rate of 0.4465 per hour, the population size reaches approximately 5.892 million cells after 4 hours.
To calculate the population size after 4 hours, we can use the formula for exponential growth:
Population size = Initial population * [tex](1 + growth rate)^t^i^m^e[/tex]
Given that the initial population is 3.3 million cells and the relative growth rate is 0.4465 per hour, we can plug in these values into the formula:
Population size = 3.3 million *[tex](1 + 0.4465)^4[/tex]
Calculating the exponent first:
[tex](1 + 0.4465)^4 = 1.4465^4[/tex] ≈ 1.7879
Now, we can substitute this value back into the formula:
Population size = 3.3 million * 1.7879
Calculating the population size:
Population size = 5.892 million
Therefore, the population size after 4 hours is approximately 5.892 million cells.
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Find Tan A 6-11, please?
Answer:
5) tan A = 0.42
6) Acute angle is less than 90°
7) Right angle is exactly 90°
8) Obtuse angle is greater than 90° but less than 180°
9) Straight angle is exactly 180°
10) Complementary angles add up to 90°
11) Supplementary angles add up to 180°
Step-by-step explanation:
tan A = opposite / adjacent
= 5/12
= 0.42
Francine currently has $55,000 in her 401k account at work, and plans to contribute $8,000 each year for the next 10 years. How much will she have in the account in 10 years, if the account averages a 4% annual return?
Answer:
Step-by-step explanation:
To calculate the future value of Francine's 401k account in 10 years, considering an annual contribution of $8,000 and an average annual return of 4%, we can use the formula for the future value of a series of regular payments, also known as an annuity.
The formula for the future value of an annuity is:
FV = P * [(1 + r)^n - 1] / r
Where:
FV is the future value
P is the payment amount
r is the interest rate per period
n is the number of periods
In this case:
P = $8,000 (annual contribution)
r = 4% or 0.04 (annual interest rate)
n = 10 (number of years)
Calculating the future value:
FV = $8,000 * [(1 + 0.04)^10 - 1] / 0.04
FV = $8,000 * (1.04^10 - 1) / 0.04
FV ≈ $8,000 * (1.480244 - 1) / 0.04
FV ≈ $8,000 * 0.480244 / 0.04
FV ≈ $8,000 * 12.0061
FV ≈ $96,048.80
Therefore, Francine will have approximately $96,048.80 in her 401k account in 10 years if the account averages a 4% annual return and she contributes $8,000 each year.
A store has a sale with 20% off every item. When you enter the store, you receive a coupon that states that you receive an additional 30% off. Is this equal to a 50% discount? Explain your answer
Answer: Nope
Step-by-step explanation:
No, receiving a 20% discount followed by an additional 30% discount does not result in a total discount of 50%.
To understand why, let's consider an example with an item priced at $100.
If there is a 20% discount applied initially, the price of the item would be reduced by 20%, which is $100 * 0.20 = $20. So the new price after the first discount would be $100 - $20 = $80.
Now, if there is an additional 30% discount applied to the $80 price, the discount would be calculated based on the new price. The 30% discount would be $80 * 0.30 = $24. So the final price after both discounts would be $80 - $24 = $56.
Comparing the final price of $56 to the original price of $100, we can see that the total discount is $100 - $56 = $44.
Therefore, the total discount received is $44 out of the original price of $100, which is a discount of 44%, not 50%.
Hence, receiving a 20% discount followed by an additional 30% discount does not result in a total discount of 50%.
Colin and Paul have played 38 tennis matches.
Colin has won 20 times.
Paul won the rest.
a) Estimate the probability that Colin wins.
b) Estimate the probability that Paul wins.
Answer:
P(Colin) = 20/38
P(Paul) = 18/38
Step-by-step explanation:
Colin won 20 times out of 38, so the probability that he wins would be 20/38 (or 10/19 simplified).
Paul won 18 times out of 38, so the probability that he wins would be 18/38 (or 9/19 simplified).
Answer:
a) Probability of Colin winning = 10/19
b) Probability of Paul winning = 9/19
Step-by-step explanation:
Total number of matches = 38
Colin won 20,
Paul won the rest so, 38 - 20 = 18
Paul won 18 matches,
From this data, we calculate the probabilities of Colin or Paul winning,
a) Estimate the probability that Colin wins.
Colin won 20 out of 38 matches, so his probability of winning is,
20/38 = 10/19
Probability of Colin winning = 10/19
b) Estimate the probability that Paul wins
Paul won 18 out of 38 matches, so his probability of winning is,
18/38 = 9/19
Probability of Paul winning = 9/19
My dance lesson starts at 11:40 am. It always 1 your and 10 minutes what time does it end?
Answer:
Step-by-step explanation:
This may be wrong but hear me out, 40+10 is 50 and 11+1 is 12, so 12:50?
Find the length of side a. 13, 5 B on a right triangle
In a right triangle, the length of side "a" is 12.
The Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides, can be used to find the length of side "a" in a right triangle with sides of 13 and 5 units.
Let's assign "a" as the unknown side. According to the Pythagorean theorem, we have the equation: [tex]a^{2}[/tex] = [tex]13^{2}[/tex] - [tex]5^{2}[/tex].
Simplifying the equation, we get [tex]a^{2}[/tex] = 169 - 25, which becomes [tex]a^{2}[/tex] = 144.
To solve for "a," we take the square root of both sides: a = √144.
The square root of 144 is 12. Therefore, side "a" has a length of 12 units.
In summary, using the Pythagorean theorem, we determined that side "a" in the right triangle with side lengths 13 and 5 units has a length of 12 units.
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HELPPPPPP ME PLEASEEEEE!!
Answer:
Step-by-step explanation:
The quadratic formula is y=ax^2+bx+c
If we move everything to the left side of the equation,
-6x^2=-9x+7 becomes
-6x^2+9x-7=0
a=-6, b=9, c=-7, so the third answer choice
The better definition of Intersection is:
OA system that has at least one solution.
O Where lines cross over each other. The lines have a common point.
OA value we can put in place of a variable (such as x) that makes the equation true.
OA system that has no solutions.
Answer:
Where lines cross over each other. The lines have a common point.
need help please see attacged
The domain of f(x) is (0, +∞), and the range is (0, +∞). The graph of the function will have a vertical asymptote at x = 0 and will continuously increase as x approaches positive infinity.
To graph the given logarithmic function f(x) based on the table, we can use the information provided. The table presents pairs of values (x, y), where x represents the input and y represents the output of the function.
From the table, we can observe that the input values (x) are positive and non-zero. This indicates that the domain of the function is x > 0, meaning x is greater than zero. In interval notation, the domain would be written as (0, +∞).
Looking at the output values (y) in the table, we see that they are all positive. This suggests that the range of the function is y > 0, meaning y is greater than zero. In interval notation, the range would be expressed as (0, +∞).
Graphically, the function f(x) is logarithmic and will have a vertical asymptote at x = 0. As x approaches positive infinity, the function increases without bound. The graph starts at y = 125 when x = 1, and it intersects the y-axis at y = 5 when x = 1.5. The graph of the function will resemble a curve that approaches but never touches the x-axis.
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What is the coefficient in the expression
6-4x-8+2
Answer:
-4 is the coefficient or -4x whatever the answers are
Step-by-step explanation:
the coefficient in mathematics is basically whatever the number is infront of a variable in an expression, equation, etc.
There are 12 containers containing various amounts of water, as shown below. ←+ 0 H ½ X X X X X X 1 X 1½ X X X 2 Cups If all of the water were dumped into one container, how many cups would be in the container?
Answer: it contains 12 containers
Step-by-step explanation: i dont know what the answer is but i know what i can help you with all you have to do is round the answer.
GEOMETRY 100 POINTS
TY
Answer:
A.
Step-by-step explanation:
In this case, we have to use tan ([tex]\frac{opposite}{adjacent}[/tex] because we are asked for the opposite side (x) given the adjacent side (20 m).
So tan(75)=[tex]\frac{x}{20}[/tex]
Solve for x
x = 20 * tan(75)
x = 74.641...
x = 74.64 m
Answer:
The height is 74.64 meters
Step-by-step explanation:
We have a ΔABC with ∠B = 75°, hypotenuse = AB
[tex]cos\; 75\textdegree = \frac{\sqrt{3} -1}{2\sqrt{2} }\\\\\frac{1}{cos\; 75\textdegree} = \frac{2\sqrt{2} }{\sqrt{3} -1}[/tex]
cos B = adjacent/hyppotenuse
⇒ hypotenuse (AB) = adjacent/cosB = 20/cosB
[tex]= 20 \frac{2\sqrt{2} }{\sqrt{3} -1}\\\\= \frac{40\sqrt{2} }{\sqrt{3} -1}\\\\= 77.27[/tex]
⇒ AB = 77.27
By pythagoras theorem,
AB² = AC² + BC²
⇒ AC² = AB² - BC²
= 77.27² - 20²
AC² = 5570.65
⇒ AC = √5570.65
AC = 74.64
Determine the limit in the following equation.
The limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
How did we get the value?To find the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches a certain value, we can simplify the expression and evaluate the limit.
First, let's simplify the expression:
lim (x² - √x⁴ + 3x²)
= lim (4x² - x² - √x⁴)
= lim (3x² - √x⁴)
Now, let's consider the behavior of the expression as x approaches a value.
As x approaches any finite value, the term 3x² will approach a finite value.
For the term √x⁴, as x approaches a finite value, the square root of x⁴ will approach the absolute value of x².
Therefore, the limit becomes:
lim (3x² - √x⁴) = lim (3x² - |x²|)
Next, let's consider the different cases as x approaches positive infinity, negative infinity, and zero.
1. As x approaches positive infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
In this case, the limit is indeterminate (∞ - ∞).
2. As x approaches negative infinity, the term 3x² will tend to positive infinity, and |x²| will also tend to positive infinity. Thus, the expression becomes:
lim (3x² - |x²|) = lim (∞ - ∞)
Again, in this case, the limit is indeterminate (∞ - ∞).
3. As x approaches zero, the term 3x² will tend to zero, and |x²| will also tend to zero. Thus, the expression becomes:
lim (3x² - |x²|) = lim (0 - 0) = 0
Therefore, the limit of the expression lim (x² - √x⁴ + 3x²) as x approaches any value is indeterminate (∞ - ∞), except when x approaches zero, where the limit is 0.
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Which linear function has the greatest y-intercept?
y = 6 x + 1
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
On a coordinate plane, a line goes through points (1, 2) and (0, negative 3).
y = 3 x + 4
The linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
In a linear equation, the y-intercept is where the line crosses the y-axis.
It is represented by the constant term in the equation.
So, to determine which linear function has the greatest y-intercept, we need to look at the constant term of each equation.
Let's consider each equation: [tex]y = 6x + 1[/tex]
The constant term in this equation is 1.
So, the y-intercept is 1.
On a coordinate plane, a line goes through points (0, 2) and (5, 0).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (0, 2) and (5, 0), we get:
[tex]m = \frac{(0 - 2)}{(5 - 0)} =-\frac{2}{5}[/tex]
So, the equation of the line is:
[tex]y - 2 = (\frac{-2}{5} )(x - 0)[/tex]
[tex]y = (\frac{-2}{5} )x + 2[/tex]
The constant term in this equation is 2.
So, the y-intercept is 2.
On a coordinate plane, a line goes through points (1, 2) and (0, -3).
To find the equation of this line, we can use the point-slope form:
[tex]y - y1 = m(x - x1)[/tex]
where m is the slope and (x1, y1) is a point on the line.
Using the points (1, 2) and (0, -3), we get:
[tex]m = \frac{ (-3 - 2) }{(0 - 1)} = -5[/tex]
So, the equation of the line is:
[tex]y - 2 = (-5)(x - 1)y = -5x + 7[/tex]
The constant term in this equation is 7.
So, the y-intercept is 7.
[tex]y = 3x + 4[/tex]
The constant term in this equation is 4.
So, the y-intercept is 4.
Therefore, we can see that the linear function that has the greatest y-intercept is [tex]y = 3x + 4[/tex].
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An author is writing and illustrating a new book. The gale diagram represent the ratio of area. In cm2 with text to area with illustrations .based on the ratio there 500cm2 of illustrations
Here are ten numbers:
3 7 2 4 7 5 7 18 8
a) Write down the mode.
b) Work out the median.
c) Calculate the mean.
d) What is the range?
Step-by-step explanation:
a) The mode is 7, because it appears three times, which is more than any other number in the list.
b) To find the median, we need to arrange the numbers in order from smallest to largest:
2 3 4 5 7 7 7 8 18
The median is the middle number, which in this case is 7, since there are an equal number of values on either side of it.
c) To calculate the mean, we add up all the numbers and then divide by the total number of values:
(3 + 7 + 2 + 4 + 7 + 5 + 7 + 18 + 8) / 9 = 61 / 9 ≈ 6.78
So the mean is approximately 6.78.
d) The range is the difference between the largest and smallest numbers in the list:
18 - 2 = 16
So the range is 16.
Answer:
The numbers are 9 in total
Step-by-step explanation:
a) Mode 7
7 is the most occuring number.
b) Rearrange the numbers to find median
2, 3, 4, 5, 7, 7, 7, 8, 18
median=7
middle number is the median
c) Mean=2+3+4+5+7+7+7+8+18/9
mean=6.7
d) Range= Highest number - lowest number
18-2=16
I hope this helps a lot!
An event with probability 3/4 is more likely to happen than an event with probability 4/5
True or False why?
The given statement "An event with probability 3/4 is more likely to happen than an event with probability 4/5" is true.
The reason why we say an event with a higher probability is more likely to happen is because probability is the measure of how often an event will occur during a large number of trials.
Therefore, when we compare the probabilities of two events, we can expect that the one with the higher probability will occur more often and therefore is more likely to happen.For instance, in the context of a coin flip, the probability of getting heads is 1/2 while the probability of getting tails is also 1/2.
Therefore, both events are equally likely to happen. On the other hand, if we were to compare the probability of rolling a six-sided die and getting a 1, which has a probability of 1/6, with the probability of rolling the die and getting a number less than or equal to 4, which has a probability of 4/6 or 2/3, we can say that the latter is more likely to happen since it has a higher probability.
For more such questions on probability, click on:
https://brainly.com/question/13604758
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