Answer: 3
Step-by-step explanation:
[tex]3:1[/tex]
[tex]\frac{3}{1}=3[/tex]
100 points!
The following data shows the weight, in pounds, of 6 boxes:
5, 3, 3, 4, 5, 4
What is the value of the mean absolute deviation of the weight of the boxes, and what does it represent about the weight of a box?
A))1.2 pounds; on average, the weight of a box varies 1.2 pounds from the mean of 4 pounds
B))0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
C)) 1.2 pounds; the weight of 50% of the boxes is greater than 1.2 pounds
D))0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Answer:
The answer is D. Let me know if you don't understand that.
Step-by-step explanation:
Hi!
To find the Mean Absolute Deviation (MAD) of the weight of the boxes, first find the mean.
5 + 3 + 3 + 4 + 5 + 4 = 24
24/6 = 4
Now find the absolute distance from the mean for each of the numbers by subtracting the mean from each of the numbers. It doesn't matter if it's negative.
5 - 4 = 1
3 - 4 = 1
3 - 4 = 1
4 - 4 = 0
5 - 4 = 1
4 - 4 = 0
Now find the mean of those numbers.
1 + 1 + 1 + 0 + 1 + 0 = 4
4/6 = 0.7
So now we know the answer is either B or D.
B. 0.7 pound; the weight of 50% of the boxes is greater than 0.7 pound
D. 0.7 pound; on average, the weight of a box varies 0.7 pound from the mean of 4 pounds
Hope this helps! :)
-Peredhel
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds
Option D is the correct answer.
What is a mean?It is the average value of the set given.
It is calculated as:
Mean = Sum of all the values of the set given / Number of values in the set
We have,
To find the mean absolute deviation, we first need to find the mean weight of the boxes:
Mean = (5+3+3+4+5+4)/6 = 24/6 = 4 pounds
Next,
We calculate the absolute deviations from the mean for each weight:
So,
|5-4| = 1
|3-4| = 1
|3-4| = 1
|4-4| = 0
|5-4| = 1
|4-4| = 0
Then,
We find the mean of the absolute deviations:
(1+1+1+0+1+0)/6 = 4/6 = 0.67 = 0.7
This means that on average, the weight of a box varies by 0.7 pounds from the mean weight of 4 pounds.
Therefore,
The value of the mean absolute deviation of the weight of the boxes is 0.7 pounds (rounded to one decimal place).
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Vince began practicing piano at 11:15 P.M He stopped at 11:35 P.M How many degrees did the minute hand turn during Vince practice time? Complete the explanation how you found your answer
Answer:
Vince began practicing piano at 11:15 P.M
He stopped at 11:35 P.M
=> He practiced in 35 - 15 = 20 mins = 1/3 hour.
=> 1/3 hour means 1/3 circle, the number of degrees the minute hand turned:
N = (1/3) x 360 = 120 deg (1 circle = 360 deg)
Hope this helps!
:)
At 7 PM, the temperature outside was -5°C. What does 1-5 represent in this situation?
Answer:
(A) The number of degrees between 0 and -5 C
Step-by-step explanation:
Hi! It is not 1-5 is is the absolute value of -5. This would be 5 which is the number of degrees between 0 and -5.
Answer:
An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”
Step-by-step explanation:
Fraction Decimal Percent
2/3 0.666… 66.666…%
1/4 0.25 25%
3/4 0.75 75%
1/5 0.2 20%
i need help ASAP. you need to be good at fractions.
fill in the missing numbers:
2/3 = _/6 = 12/_ = _/21
[tex]\frac{2}{3}[/tex]
[tex]\frac{4}{6}[/tex]
[tex]\frac{12}{18}[/tex]
[tex]\frac{14}{21}[/tex]
I hope this helps :)
Answer:
2/3= 4/6= 12/18= 14/21
Step-by-step explanation:
2/3= __/6
you know that that denominator doubles because 3*2=6, so what you do to the denominator you have to do to the numerator and vice versa. 2*2= 4 so the answer would be 4/6
To find 12/__
You should know that everything is equal to 2/3 in this equation. To get from 2 to 12 you need to multiply by 6. what you do to the top you have to do to the bottom. 3*6=18
_/21
You times 2/3 by 7 because 3*7=21.
2*7=14
If cos A = 12/13 , and ∠A is in the fourth quadrant, find the exact value of sin2A.
Answer: 0.71
Step-by-step explanation:
we have that cos(A) = 12/13
then:
A = Acos(12/13) = 22.62°
But A is in the fourth quadrant, so A is actually 22.62° + 180° = 202.62°
Then Sin(2A) = sin(2*202.62°) = 0.71
Please help please really important question
Answer: The Median because the distribution is skewed to the right
Step-by-step explanation:
Giving Brainliest if correct!!
Adam bought a treadmill and a dirt bike from a sports equipment store for y dollars. He signed an installment agreement requiring an 8% down
payment and monthly payments of x dollars for 18 months. Which expression correctly represents Adam's finance charge?
A. 0.8y
B. 18y
C. 18x-0.92y
D. 18x-0.08y
E. 18y-0.92x
Answer:
D. 18x-0.08y
Step-by-step explanation:
He will make 18 monthly payments of x dollars on the total amount leftover after paying an 8% down payment. So his finance charge is payment minus down payment: 18x-0.08y
The expression correctly represents Adam's finance charge is
C. 18x-0.92y.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
From, The given information,
8% of the downpayment is (8/100)×y = 0.08y and te total monthly payment is 18x.
Therefore,
The phrase that accurately describes Adam's finance charge is,
y = 0.08y + 18x.
y - 0.08y = 18x.
0.92y = 18x.
18x - 0.92y = 0.
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Help!! QUICKLY!! LESS LOOKING MORE ANSWERING!!
Answer:
1/3
Step-by-step explanation:
To find equivalent fractions, we can multiply or divide the original fraction by 1, since it won't change the value.
That means, dividing the numerator and denominator by the same integer.
For example, in this case, we divided both the numerator and denominator by 6.
6/6=1
18/6=3
So we divided the entire fraction by 6/6, which doesn't change the value of the fraction, just simplifies it.
Answer: [tex]\frac{1}{3}[/tex]: D
Step-by-step explanation:
This is simple, just simplify the fraction.
[tex]\frac{6}{18}[/tex]
You have to find the greatest common factor. In this case, it is 6 because both of them can be divided by 6.
When you divide 6 by 6, you get 1.
When you divide 18 by 6, you get 3.
Therefore, your answer is [tex]\frac{1}{3}[/tex].
Hope this helps! :)
Please tell me the answer quick
Answer:
25
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
y = 5x – 6
Identify the y-intercept of the
following equation.
Answer:-6
Step-by-step explanation:
Answer:
ez
Step-by-step explanation:
6 negative
-3x+1/2=3/8
Whats x? pls someone help step by step
Answer:
x = -1/24 = -0.042
Step-by-step explanation:
Step 1 : Simplify 3/8
Step 2 :
Rewriting the whole as an Equivalent Fraction
Step 3 :
Calculating the Least Common Multiple
Equation at the end of step 3 :
24x + 1
——————— = 0
8
Last step:
Solving a Single Variable Equation :
5.2 Solve : 24x+1 = 0
Subtract 1 from both sides of the equation :
24x = -1
Divide both sides of the equation by 24:
x = -1/24 = -0.042
Hope this helps.
Suppose you deposit $1500 in a savings account that pays interest at an annual rate of 6% if no money is added or withdrawn from the account answer the following questions how much will be in the account in four years how much will be in the account after 16 years how many years will it take for the account to contain $2000 How many years will it take for the account to contain $2500
Answer:
In 4 years = $1,893.72
In 16 years = $3,810.53
years to contain $2,000 = 4.9371454128
years to contain $2,500 = 8.766692911
Step-by-step explanation:
In 4 years
A = 1,500 (1 + 0.06)^4
= $1,893.72
In 16 years
A = 1,500 (1 + 0.06)^16
= $3, 810.53
to find number of years
t = ln (A/P) / ln (1+r)
when A = 2,000
t = ln(2,000/1,500) / ln(1+0.06)
= 4.9371454128 years
when A = 2,500
t = ln(2,500/1,500) / ln(1+0.06)
= 8.766692911 years
PS: You can also use log in place of ln
The number of years it will take for the account to contain $2000 is 4.94 years while it will take 8.77 years to contain $2500.
Calculation of future value and the number of years it takesLet:
PV = Present value = $1,500
r = Interest rate = 6%, or 0.06
n = number of years
FVn = Future value after a certain number of years
Therefore, we have:
The amount that will be in the account in four years can be calculated using the future value (FV) formula as follows:
FV4 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^4 = $1,893.72
Therefore, the amount that will be in the account in four years is $1,893.72.
The amount that will be in the account after 16 years can also be calculated using the future value (FV) formula as follows:
FV16 = PV * (1 + r)^n = $1,500 * (1 + 0.06)^16 = $3,810.53
Therefore, the amount that will be in the account after 16 years is $3,810.53.
The number of years will it take for the account to contain $2000 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,000/$1,500)) / (log(1+0.06)) = 0.1249387366083 / 0.0253058652647703 = 4.94 years
Therefore, the number of years it will take for the account to contain $2000 is 4.94 years.
The number of years it will take for the account to contain $2500 can be calculated using the following formula:
n = (log(FV/PV)) / (log(1+r)) = (log($2,500/$1,500)) / (log(1+0.06)) = 0.221848749616356 / 0.0253058652647703 = 8.77 years
Therefore, the number of years it will take for the account to contain $2000 is 8.77 years.
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AC =
Round your answer to the nearest hundredth.
40°
A dance school offers 5 types of classes: jazz, tap, hip-hop, ballet, and lyrical. It conducts 950 classes over the course of a
year. If it conducts the same number of each type of class, how many jazz classes are given?
19
190
475
945
Answer:190
Step-by-step explanation:
If there are 950 classes over a year and 5 classes then there are 190 classes per class because 950/5=190
Please help WILL MARK BRAINLIEST
Answer: I believe D is the correct answer.
Step-by-step explanation:
I just took the test. Hope this Helps!!! PLZ MARK BRAINLIEST!!!
Answer:
Multiply each GDP number by its country's population.
Step-by-step explanation:
The GDP depends on the higher or lower population.
The highest GDP and highest population product all help decide the living standards of the country.
After you have multiplied the countries' GDP by its population you compare.
Find the radius of a cylinder with volume
351.9 cubic cm and height 7 cm.
Answer:
4
Step-by-step explanation:
Answer:
4 cm
Step-by-step explanation:
Volume of cylinder = [tex]\pi[/tex]r²h
Radius = [tex]\sqrt{\frac{V}{\pi h} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{\pi 7} }[/tex]
Radius = [tex]\sqrt{\frac{351.9}{21.98} }[/tex]
Radius ≈ [tex]\sqrt{16}[/tex]
Radius ≈ 4
So, the radius is about 4 cm.
pls help will mark as brainliest
Answer:
C F
Step-by-step explanation:
Answer:
2/10 is equivalent to 1:5
6:30 is equivalent to 1:5
8 to 40 is equivalent to 1:5
Step-by-step explanation:
Find the center and radius of the circle.
AY
6
N
-6
-2
6 x
N
-61
The center is O,
and the radius is
Answer:
center: (0,0)
radius: 4 units
Step-by-step explanation:
the circle goes through points (0,4), (0,-4), (4,0), and -4,0).
if you notice, all four points are 4 away from the origin, (0,0). this means that there center is (0,0).
if you start at one of the points and go to the origin, it will be 4 units. that will be your radius
Errol's bike ride from home to school can be modeled by the equation d(t) = -4t+2, where d(t) is
his distance from school, in miles, at t minutes. Errol's friend Daniel lives 4 miles away from school. It
takes Daniel twice as long to get to school if he bike rides at the same pace as Errol. What can be said
about the graph of the equation that models Daniel's bike rides?
Answer:
Option (2).It has a vertical translation by 2 units in the positive direction.
Step-by-step explanation:
Given question is not complete: find the complete question with attachment
Errol's bike ride can be modeled by the equation,
[tex]d(t)=-\frac{1}{4}t+2[/tex]
Slope of the given equation = [tex]-\frac{1}{4}[/tex] which shows the rate of change of distance from Errol's house
Y-intercept = 2, shows the distance of the school from Errol's house
Let the equation that represents the distance of Daniel's home from the school is,
y = mt + b
Since speed of Daniel is equal to the speed of Errol, slopes of both the equations will be same.
Since y-intercept 'b' represents the distance from his home, b = 4
Now the equation will be,
[tex]d(t)=-\frac{1}{4}t+4[/tex]
Therefore, the graph representing the Daniel's equation will have a vertical translation by 2 units in the positive direction.
Michelle wants to run a total of 15 miles per week. She runs 3 miles
each day d that she runs. Will she meet her goal by running 5 days
per week?
Answer:
Yes because 3x5 is 15
Step-by-step explanation:
Solve the system of linear equations by adding or subtracting.
3x + 7y = −17
4x − 7y = 10
Enter your answer as an ordered pair.
Answer:
3x + 7y = −17
4x − 7y = 10
Add up both sides of 2 equations, then
7x = -7
=> x = 1
=> y =(3 x 1 - 17)/7 = -14/7 = -2
Hope this helps!
:)
Which choice is correct..Thanks
Answer:
Construct two [intersecting, perpendicular] diameters and connect the four endpoints
please calculate the volume of the cylinder below. use 3.14 as approximation for Pi. (MIDDLE SCHOOL MATH)
the answer is V≈254.47
Which type of graph would you use to show the number of pages in each book on the bookshelf?
Answer:
stem and leaf plot
Step-by-step explanation:
:) trust
At the beginning of the year, students in Mrs. Johnson's class took a survey. It was discovered that 1 /3 of the whole class was born in a summer month. Of those born in the summer, 2 /5 of them were born in July. What fraction of the entire class was born in July?
Answer:
2/15
Step-by-step explanation:
1/3 × 2/5 = 2/15
What is the volume of the following rectangular prism?
Answer:
529 units squared
Step-by-step explanation:
Ann wants to buy a coffee machine. She knows, that during the holidays, the probability of a discount of more than 10% is 0.87, on weekends, the probability of a discount of more than 10% is 0.38, and on a regular weekday, it is 0.17. On average there are 15 holidays per year, 100 weekends (holiday weekends are excluded) and 250 weekdays. Find the probability of a discount of more than 10% for the randomly chosen day. Find the probability that it was a weekend if it is given that she bought a machine with a discount of more than 10%.
Answer:
Let's denote:
P(discount on 15 holidays) = P(A) = 0.87
P(discount on 100 weekends) = P(B) = 0.38
P(discount on 250 weekdays) = P(C) = 0.17
=> The probability of a discount of more than 10% for the randomly chosen day: P = P(A) x 15/360 + P(B) x 100/360 + P(C) x 250/360
= 0.87 x 15/360 + 0.38 x 100/360 + 0.17 x 250/360
= 0.26
Given she bought a machine with a discount of more than 10%, the probability that it was a weekend would be:
P = 100/(100 + 250 + 15) = 0.27
Hope this helps!
:)
Answer:
1. 0.256
2. 0.406
Step-by-step explanation:
Total days:
15 + 100 + 250 = 365
P(more than 10% discount)
= (0.87×15/365) + (0.38×100/365) +(0.18×250/365)
= 1871/7300
0.2563013699
P(weekend/more than 10% discount)
= (0.38×100/365) ÷ (1871/7300)
= 760/1871
0.4061998931
Find the interquartile range (IQR) of the data in the box plot below.
PLZ ASAP PLZ ASAP
Answer:
3
Step-by-step explanation:
To find the IQR, use this formula:
Quartile 3 – Quartile 1
this will get you the IQR of a box and whisker plot :)
(pls mark brainliest)
A mill processes 48 tons of flour in 3 hours. How many tons of flour can the mill process in 8 hours if its rate or production stays the same?
Answer:
128 tons can be processed in 8 hours.
Step-by-step explanation:
48 divided by 3 = 16 (to see how much tons are produced in 1 hr.)
16 x 8
=128
Answer:
128 tons in 8 hours
Step-by-step explanation:
do 48 divided by 3 = 16
to see how much tons get produced in an hr.
then when you do 16x8 which is 128
Functions math, please help
Answer:
Slope: 2
Y-intercept: (0,-7)
Step-by-step explanation:
2(x-3)=y+1
distribute the 2 through the parentheses
2x-6=y+1
2x+6=0+1
(change the y to 0)
2x-6=1
add 6 to both sides(+6 cancels out -6)
2x=1+6
divide both sides by 2
x=7/2 or x=3.5
hope this helps!