Answer:
18 cm
Step-by-step explanation:
Range = Largest Number - Smallest Number
We know the following from the original data set:
Largest Number = 32 cm
Smallest Number = 3 cm
Original Range = 32 cm - 3 cm = 29 cm
The outlier is 3 cm because all the other numbers are relatively close to ine another in their 20s and 30s. If we remove 3 cm from the data set, we know the following:
Largest Number = 32 cm (Doesn't change)
Smallest Number = 21 cm
New Range = 32 cm - 21 cm = 11 cm
We can compare the two ranges by subtracting the larger range from the smaller range:
Range Difference = 29 cm - 11 cm = 18 cm
Therefore, the range decreases by 18 cm when we remove the outlier.
Gabriel finds some dimes and quarters in his change purse. How many coins does he have if he has 11 dimes and 8 quarters? How many coins does he have if he has dd dimes and qq quarters?
Answer:
8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents
Step-by-step explanation:
Question 4 A woman borrowed $2,000,000.00 from bank at a rate of 15% per annum simple interest for 2 years. a) Find i) the interest for the 2 years; how much she paid in all to the after the 2 years. ii) b) She used the $2,000,000.00 to purch fridge and sold it at a profit of 45%.Find the selling price of the fridge.
Part i) Simple interest = $600,000.00.
Part ii) Selling price = $2,900,000.00.
What is defined as the simple interest?Simple interest is a simple and quick method to approximate the interest on a loan. Simple interest is calculated by multiplying this same daily interest rate by the principal multiplied by the number of days between payments.Part i) The formula for simple interest is;
SI = PRT/ 100
P = principal amount = $2,000,000.00.
R = rate of interest = 15%
T = time in years = 2 years.
Put the value in the formula;
SI = ( $2,000,000 × 2 × 15)/100
On simplification;
SI = 600,000
Thus, the simple interest at the end of 2 years is $600,000.oo
Part ii) the selling price
Selling price = cost price + profit
Selling price = cost price + 45%of cost price
Cost price = $2,000,000.00
45%of cost price = 45× $2,000,000.00/100
45%of cost price = 900,000.00
Selling price = $2,000,000.00 + 900,000.00
Selling price = $2,900,000.00.
The the selling price of the fridge is found as $2,900,000.00.
To know more about the simple interest, here
https://brainly.com/question/25793394
#SPJ9
PLEASE HELP!
Beth is solving this equation: 1/3 + 3 = 3/x
She says “I can multiply both sides by x and get the linear equation 1 + 3x = 3, whose solution is x = 2/3 ."
Which of the following statements makes this a correct argument, or shows that it is incorrect? Select all that apply.
You cannot multiply both sides by x because you do not know what x is.
After multiplying both sides by x you need to subtract 1 from both sides.
You can assume x does not equal 0 because both sides are undefined is x = 0.
The equation is not linear, so you cannot use the methods normally used for solving linear equations.
Answer:
x= 0.9
step-by-step explanation:
LCM=3x
use the lcm to multiply each term
3x×1/3+3x×3=3x×3/x
cancel out
x+9x=9
10x=0
divide both side by the coefficient of x
10x/10=9/10
x=0.9
Dice have 6 sides, with values 1, 2, 3, 4, 5, and 6. which expression randomly rolls one dice, directly yielding one of those values?
(rand() % 6) + 1 is the expression randomly rolls one dice, directly yielding one of those values.
What is dice?Small objects (polyhedrons) used as playing pieces for dice games and other gambling-related activities. The cube, the most popular type of die, has one to six tiny dots on each side (spots). The spots are positioned in the following traditional patterns: 1 and 6, 2 and 5, 3 and 4, so that spots on opposite sides always sum up to 7. The poker and crown and anchor dice, as well as many other types of dice with 4, 5, 7, 8, 10, 12, 16, and 20 sides, are examples of dice with different configurations of spots or other face designs. The majority of the time, dice are employed to generate a random outcome (usually a number or a mixture of numbers), and the mathematical probabilities depend on the physical characteristics and quantity of dice thrown.
To learn more about the, dice visit:
https://brainly.com/question/23637540
#SPJ4
q+p-3; use p = 2, and q = -1
Answer:
-2
Step-by-step explanation:
q + p - 3
-1 + 2 - 3 = -2
CAN ANYONE PLS PLS PLS HELP ME THIS IS A DISASTER AND I WIL GET PUNISHED IF NO DONE.
Pls help me im stuck
the desert temperature, h, oscillates daily between 40°f at 5am and 80°f at 5pm. write a possible formula for h, measured in hours from 5am, using the form h
The form of a periodic function is H(t) = 20cos(π/12(t+12))+ 60.
What do periodic functions mean?
A function that periodically returns to the same value. Despite the similarity in sound between periodic motion and oscillatory motion, not all periodic motions are oscillatory motion.
Since the values of H oscillates between two values, then the choices of the function are either sine or cosine. However, since the variable measures the time from 4 AM, and 4 AM represents the trough of the oscillation, then cosine is the more appropriate choice. Recall the form of a periodic function
y =A cos(B(x +C))+D
It is given that the peak of desert temperature is at 80F, and the lowest is 40F. Note that the distance between the two temperatures is
80F − 40F =40F
Since the amplitude is the distance from the middle line to either peak or trough, then it is half the distance from the trough to the peak. Hence
A = 40/2= 20
Notice that one full oscillation occurs after one day or 24 hours. Hence the period is
B =2π/24 = π/12
The graph of the cosine function begins at the peak, whereas the function needs to begin at the trough, since the variable t represents the number of hours after 4 AM. Thus, the graph must be shifted horizontally to the left one half-cycle, which is
C = 12
Since the original cosine function has the centerline at x= 0 the centerline of the function must be shifted by the number of units corresponding to the midway point of the peak and the trough. Hence
D= 80 + 40/2 = 120/2 = 60
ubstituting
A =20, B = π/12. C= 12 , and D= 60 into
The form of a periodic function
H(t) = 20cos(π/12(t+12))+ 60
Learn more about periodic function
brainly.com/question/28223229
#SPJ4
Please, help me. I have no idea.
What value of n makes a true statement? 4^nx4² = 16,384
Lenny starts a lemonade stand for the summer. He thinks that he should be able to operate his business for 10 weeks. the table shows the expenses and revenue after 1 week. Based on this, how much konry will Lenny make during the 1o weeks
What is the slope of the line that passes through the points (-4,5) and (-7,8) ? write your answer in the simplest form
Answer:
[tex]\frac{-3}{3}[/tex]
Step-by-step explanation:
So we going to put them in the Rise Over Run fomula which is [tex]\frac{5-8}{-4-(-7)}[/tex] and we simplifying this which give us [tex]\frac{-3}{3}[/tex]
Here is a scale drawing of a window frame that uses a scale of 1 cm to 6 inches.
Compare the scale drawing of a window frame that uses a scale of 1 cm to 12 inches.
the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
We have that:
Scale of the first drawing is 1 cm to 6 inches.
It can be written in ratio as:
1 : 6
Now the scale of the other drawing of a window is
1 cm to 12 inches.
which can also be written in ratio as:
1 : 12
By comparing both the ratios, we can see that the first drawing is twice in size as the second drawing as it only includes 6 inches in 1 cm.
That mens the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Therefore, we get that, the second drawing if the window frame will be 1 / 2 the size of the first drawing of the window frame.
Learn more about ratio here:
https://brainly.com/question/2328454
#SPJ1
The sum of eight and half
of a number
We get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
We are given a statement:
The sum of eight and half of a number.
We have to form an expression for the same.
An expression means a combination of numbers and variables.
Let the number be a variable say x.
Now we need the half of a number.
1 / 2 of x = x / 2
Now we need the sum of 8 and x / 2.
So, it will be:
8 + x / 2
= (16 + x) / 2
Therefore, we get the expression for the statement "The sum of eight and half of a number" as (16 + x) / 2.
Learn more about expression here:
https://brainly.com/question/723406
#SPJ9
The freezing point of water in degrees Celsius is 0 while in degrees Fahrenheit it is 32. The boiling point of water is 100 degrees Celsius and 212 degrees Fahrenheit. Given that the function F is linear, use this information to find an equation for F
The function F to be used to convert the temperature is; F = ⁹/₅C + 32
How to Solve Algebra Word Problems?
From the given information, we can tag the coordinates as;
(32,0) and (212,100)
Thus, the slope is calculated as;
m = (100-0)/(212-32)
m = 100/180
m = 5/9
The intercept is;
c = y - mx
c = 0 - (5/9)(32)
c = 0 - 160/9
c = -160/9
The line equation is;
y = 5/9 x + (-160/9)
y = 5/9 x - 160/9
y = 5/9 (x - 32)
Let x = F and y = C and we have;
F = ⁹/₅C + 32
Read more about Algebra Word Problems at; https://brainly.com/question/13818690
#SPJ1
Find the value of x²+8x+12 when x = -9
Answer:
165
Step-by-step explanation:
x² + 8x + 12 =
= (9)² + 8(9) + 12
= 81 + 72 + 12
= 153 + 12
= 165
Answer:
-165
Step-by-step explanation:
(-9)2+8×-9+12
-81-72+12
-81-84
-165 answer.
Travis wrote five checks to the employees of his business, each for $225. if the original balance in his checking account was $890, what is his new balance?
Travis's checking account new balance, after wrote five checks to the employees of his business is - $235
To solve this problem, we have to state the equation using the information of the problem
Information about the problem:
Original balance= $890Check amount of each employer= $225No. of checks= 5Final balance = ?Calculating the checks total amount Travis wrote to the employees of his business:
Total amount for his employers = Check amount of each employer * No. of checks
Total amount for his employers = $225 * 5
Total amount for his employers = $1125
Calculating the final balance, we have:
Final balance = Original balance - Total amount for his employers
Final balance = $890 - $1125
Final balance = - $235
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
Learn more about algebraic operations at: brainly.com/question/3927786
#SPJ4
the world record for the most number of speed skips is 60 seconds is 332 skips if the record holder skipped at a constant ratio of seconds to skips how many makes in 15 seconds
The record holder skips 83 times in 15 seconds
We refer to a ratio as constant if the number we multiply by remains constant throughout the series.
By comparing two amounts of the same units, the ratio can be used to calculate how much of one item is included in the other. There are two different categories for ratios. The first is a part-to-part ratio, whereas the second is a part-to-whole ratio.
The World record for the most number of skips is 332 in 69 seconds.
Let's assume the record holder skipped at a constant ratio.
The proportion, if s is the number of skips:
skips / seconds = s / 15 = 332/60
s / 15 = 332 / 60
s = 332( 15/60 )
s = 332/4
s = 83
She skipped 83 times in the space of 15 seconds.
Learn more about ratio here:
https://brainly.com/question/12024093
#SPJ9
what fractions are equivalent to 4.05 with a bar notation over the 0 and 5
Answer:
Part 1) The fractions in the list are not equal to the decimal number indicated
Part 2) The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Part 1)
we have the decimal number
4.05 -----> is a terminating decimal ( t's a decimal with a finite number of digits)
Convert to fraction number
Multiply and divide by 100
Simplify
Divide by 5 both numerator and denominator
therefore
The fractions in the list are not equal to the decimal number indicated.
Part 2) we have
4.050505... ------> is a repeating decimal (is a decimal that has a digit, or a block of digits, that repeat without ever ending)
Let
x=4.050505...
we have that
Multiply by 2 both numerator and denominator
therefore
The fractions 401/99 and 802/198 are equal to the decimal number indicated.
Step-by-step explanation:
what are the answers ?! help pls !!! this is a timed T-T
Answer:I would say c
Step-by-step explanation: because it is the only one that makes sense
Nylah and harper share £2700.harper gets twice as much money as nylah.
How much does hamper receive?
Give your answe in pounds (£)
Harper will receive £1800 as his own share of the total money
How to calculate the amount of harper that Nylah will receive ?Nylah and harper both share £2700
let x represent Nylah share
let 2x represent harper share
x + 2x= 2700
3x= 2700
divide both sides by the coefficient of x which is 3
3x/3= 2700/3
x= 900
Since harper share is 2x, let's substitute 900 for x
2(900)
= 1800
Hence harper share is £1800
Read more on share here
https://brainly.com/question/2654594
#SPJ1
round 184329 to the nearest 100
Answer:
184300
Step-by-step explanation:
When rounding to the nearest anything, you look at the place 1 unit smaller. Here, we'd look at the tens place.
184329
Anything 5 or greater increases the value of the place 1 unit bigger. Here, we have a 2 in the tens place. That doesn't increase the 3 in the hundreds place, so we round down to 184300.
A teacher claims that the relationship between
number of hours studied for a test and test score can be
described by g(x) = 45 + 9x, where x represents the
number of hours studied. Graph this function
The graph representing the given function g(x) = 45 + 9x is as drawn in the attachment.
How to draw a Linear Equation Graph?
We are given the equation of line as;
g(x) = 45 + 9x
Where;
x represents the number of hours studied.
g(x) represents the test score
Thus, to plot this graph, we need to input some x values and find their corresponding g(x) values
At x = -10;
g(x) = 45 + 9(-10)
g(x) = -45
At x = -1;
g(x) = 45 + 9(-1)
g(x) = 35
At x = 0;
g(x) = 45 + 9(0)
g(x) = 45
At x = 1;
g(x) = 45 + 9(1)
g(x) = 54
At x = 2;
g(x) = 45 + 9(2)
g(x) = 63
At x = 3;
g(x) = 45 + 9(3)
g(x) = 72
Read more about Linear Equation Graph at; https://brainly.com/question/26148595
#SPJ1
write the value of this expression as a fraction 14/33 x 55/8 x 12/35
Answer: 1
Step-by-step explanation:
[tex]\displaystyle\\\frac{14}{33} *\frac{55}{8} *\frac{12}{35} =\\\\\frac{14*55*12}{33*8*35}=\\\\\frac{2*7*5*11*3*4}{3*11*2*4*5*7}=\\\\\frac{1}{1}=\\\\1[/tex]
There is a safety fence around a circular pool with a gate. The gate is 150 cm wide.
20 m
gate
150 cm
What is the length of the fence not including the gate?
m
After executing the following statement, the value of x is ________. double x = 5 4 * 3 / 2 ;
The value of x is 81 . double x = 5 4 * 3 / 2 .
What is a linear equation?
An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."x = 54 * 3/2
x = 27 * 3
x = 81
Learn more about linear equation
brainly.com/question/11897796
#SPJ4
Mr McGee found that 6 students in his class have a sports practice today based on this result how many of the 300 students in the school have practice today
Answer: Number of students out of 300 who will attend sports class are 200.
Step-by-step explanation:
Let x be no. of students in 300 students who have sports practice;
Mr McGee found that 6 students out of 9 in his class have a sports practice today.
so according to ratio and proportions we have:
6/9=x/300
by cross multiplying 300 on left hand side we have ;
x=200 students
So
number of students out of 300 who will attend sports class are 200.
Learn more about ratio and proportions here
https://brainly.com/question/28499628
#SPJ9
Answer:
Step-by-step explanation: Based on the given condition, formulate :
multiply total students with 6
6×300 =1800
learn more about this type of question : https://brainly.in/question/16597386?referrer=searchResults
A router is located in the school library which is 1.5 meters away from the a student lounge. the range of the router, which services the wifi connection of the school has a diameter of 3.5 meters with it as the center. can student staying on the lounge connect to the said wifi
The distance between the center of the circle to any point in the circle is called the radius of the circle. The student staying in the lounge connected to the said wifi will be in the range of the wifi.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
The distance between the center of the circle to any point in the circle is called the radius of the circle, while the diameter is twice this distance.
Given that the range of the router, which services the wifi connection of the school has a diameter of 3.5 meters. Therefore, the radius of the wifi will be,
Radius = Diameter/2 = 3.5 meters / 2 = 1.75 meters
Now, it is also given that a router is located in the school library which is 1.5 meters away from the student lounge. Therefore, the distance between the school library and the lounge is less than the radius of the range of the wifi.
Thus, the student staying in the lounge connected to the said wifi will be in the range of the wifi.
Learn more about Circle here:
https://brainly.com/question/11833983
#SPJ4
p+17=9 i need help ASAP
Answer:
P = -8
Step-by-step explanation:
Labels for gender where 1=female and 2=male is an example of using ______ scale.
Labels for gender where 1=female and 2=male is an example of using a nominal variable scale.
What is a nominal variable?A categorical variable (also known as a nominal variable) has two or more categories but no inherent ordering of the categories. Because the categories (woman, man, transgender, non-binary, etc.) cannot be ordered from high to low, gender is an example of a nominal variable. Medal winners are an example of an ordinal variable because the categories (gold, silver, bronze) can be ordered from most valuable to least valuable. A categorical variable is a variable in statistics that can take on one of a restricted, and usually fixed, a number of possible values, assigning each individual or other unit of inspection to a specific group or nominal category based on some qualitative property. For example, a nominal variable scale is used to label gender, with 1 representing female and 2 representing male.Therefore, labels for gender where 1=female and 2=male is an example of using a nominal variable scale.
Know more about nominal variables here:
https://brainly.com/question/14569061
#SPJ4
