The minimum value is 19, maximum is 37, median is 28.5, first quartile is 23.5, and third quartile is 33.5. These measures are calculated by organizing the data in ascending order and finding the middle and approximated middle values of the data set and its halves.
Explanation:First, let's arrange your data in ascending order: 19,20,21,22,23,24,26,27,28,29,30,31,32,33,34,35,36,37. There are 18 data points here.
The minimum value is 19 and the maximum value is 37.
To calculate the median (the middle number), since we have an even number of data points, we take the average of the 9th and 10th numbers. (28+29)/2 = 28.5.
Now, to find the first quartile (lower median), we look at the median of the lower half of the data (excluding the overall median if it's part of the data). The lower half of the data is: 19,20,21,22,23,24,26,27,28. So, we take the average of 23 and 24 which is 23.5.
For the third quartile (upper median), we look at the median of the upper half of the data. Here it is: 29,30,31,32,33,34,35,36,37. So, we take the average of 33 and 34 which is 33.5.
Learn more about Quartiles here:https://brainly.com/question/24329548
#SPJ12
The following table shows the number of heart beats for 4 animals. For example, the pig's heart beats 225
times in 3 minutes.
Animal
Heartbeats
Minutes
Pig
225
Horse
180
Cow
520
Dog
540
Which animal's heart beats at a rate of 65 beats per minute?
Answer:
The cow's heart beats at 65 beats per minute
Step-by-step explanation:
To solve the per minute, take the total heartbeat number and divide it by the amount of minutes like so:
Pig: [tex]\frac{225}{3}[/tex]
Horse: [tex]\frac{180}{4}[/tex]
Cow: [tex]\frac{520}{8}[/tex]
Dog: [tex]\frac{540}{6}[/tex]
Now all that you have to do is simplify them to get the following values:
Pig: 75 beats per minute
Horse: 45 beats per minute
Cow: 65 beats per minute
Dog: 90 beats per minute
find the solution for the system of linear equations by substitution: y = x. y = 2x - 4
Answer:
y= 4
Step-by-step explanation:
please help i’ll mark brainlest
++-Answer:58
Step-by-step explanation:
Answer:
∠ H = 84°
Step-by-step explanation:
Since HI = IJ then Δ HIJ is isosceles with ∠ IHJ = ∠ IJH, thus
∠IHJ = [tex]\frac{180-134}{2}[/tex] = [tex]\frac{46}{2}[/tex] = 23°
Similarly
Since HG = JG then Δ HGJ is isosceles with ∠ GHJ = ∠ GJH, thus
∠ GHJ = [tex]\frac{180-58}{2}[/tex] = [tex]\frac{122}{2}[/tex] = 61°
Thus
∠ H = ∠ GJH + ∠ IHJ = 61° + 23° = 84°
PLEASE HELP 6th GRADE MATH ONE PROBLEM
Answer:
Step-by-step explanation:
[tex]\frac{-5}{4}+\frac{75}{40}+\frac{100}{100}=\frac{-5}{4}+\frac{75}{40}+1\\\\=\frac{-5*10}{4*10}+\frac{75}{40}+\frac{1*40}{1*40}\\\\=\frac{-50}{40}+\frac{75}{40}+\frac{40}{40}\\\\=\frac{-50+75+40}{40}\\\\=\frac{65}{40}\\\\=\frac{13}{8}\\\\=1.625[/tex]
What is the radius of the cone?
1 cm
2 cm
4 cm
8 cm
Answer:
The radius of the cone is 2 cm. Hope this helps!!!
Step-by-step explanation:
Answer:
answer is 2 cm
Step-by-step explanation:
450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get
Answer:
john gets 274
Step-by-step explanation:
150 divided by 2 = 225
add 50 to johns amount and you get 275
Answer:
250$
Step-by-step explanation:
250-50=200
200+250=450
Use technology or a z-distribution table to find the indicated area.
The weights of apples in a bin are normally distributed with a mean of 143 grams and a standard deviation of 4.2 grams.
Approximately 30% of the apples weigh less than which amount?
133 g
B.) 135 g
C.) 137 g
D.) 141 g
Answer:
I think it's answer D. (141). :D
Step-by-step explanation:
30% of the apples weigh less than 141 grams.
What is z- distribution?The z-distribution, also known as the standard normal distribution or the standard Gaussian distribution, is a probability distribution that is often used in statistics. It is a special case of the normal distribution with a mean of 0 and a standard deviation of 1.
First, we need to find the z-score corresponding to a cumulative probability of 0.30.
Using the z-distribution table, we find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52.
The z-score formula is given by:
z = (x - μ) / σ
Where:
z is the z-score
x is the value we want to find the corresponding z-score for
μ is the mean of the distribution
σ is the standard deviation of the distribution
Rearranging the formula to solve for x:
x = zσ + μ
x = -0.52 (4.2) + 143
x ≈ 140.94
Therefore, 30% of the apples weigh less than 141 grams.
Learn more about z score here:
https://brainly.com/question/31871890
#SPJ2
What is the probability of rolling a 2 on a dice AND pulling a spade out of a deck of
cards?
1/6
1/12
1/10
1/24
Roberto decorates rectangular signs. One sign is 2/3 foot long and 1/4 foot wide. Another sign is 1/2 foot long and 1/3 foot wide. It takes Roberto 3/4 hour to decorate a 1-square-foot sign. What is the total amount of time, in hours, it takes Roberto to decorate both signs. Show or explain each step you used to find your answer
Answer: It takes Him 1/4 hours to decorate both signs,
Step-by-step explanation:
Hi, since the area of a rectangle is equal to:
Area: length x width
Replacing with the values given;
Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2
Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2
If we sum both areas:
A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)
Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:
For 1/3 ft2
3/4 hour x 1/3 ft2 = 1/4 h
ITt takes Him 1/4 hours to decorate both signs,
It takes Roberto 1/4 hour to decorate both signs.
To find the total amount of time it takes Roberto to decorate both signs, we need to calculate the area of each sign first and then determine the time required for each based on the given rate of 3/4 hour per 1 square foot.
1: Calculate the area of each sign
First sign: The dimensions are 2/3 foot long and 1/4 foot wide. The area (A) is length × width.2: Calculate the total area of both signs
Total area (Atotal) = A1 + A2 = 1/6 + 1/6 = 2/6 = 1/3 square foot.
3: Calculate the total time to decorate both signs
It takes Roberto 3/4 hour to decorate 1 square foot. So, for 1/3 square foot:
Time = (3/4) × (1/3) = 1/4 hour.
Therefore, it takes Roberto 1/4 hour to decorate both signs.
Which statements are true for the following expression?
(9 + 1) · 5
Check all that are true.
The solution is the product of two factors.
The first factor is itself the product of two terms.
The solution is the sum of two terms.
The second factor is itself the sum of two terms.
The first factor is itself the sum of two terms.
The statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
What are Factors?A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.
We can describe this expression as the product between a 5 and the sum of two 9 and 1, that is, the second factor is a sum of two terms, this means option A is a true statement.
As a product, the solution of this expression is the solution of that product, however, we first have to sum both terms inside the parenthesis, like this
= (9 + 1)5
= 10(5)
= 50
So, the statements that follows the Expressions are:
The solution is the product of two factors.
The first factor is itself the sum of two terms.
Learn more about factors here:
https://brainly.com/question/24182713
#SPJ2
The Richter scale is used for measuring the magnitude of an earthquake. The Richter magnitude is given R = 0.67log(0.37E) + 1.46 where E is the energy (in kilowatt hours) released by the earthquake. If an earthquake release 1,770,000 kilowatt hours of energy, what is the earthquake's magnitude?
Answer:
R=3.897
Step-by-step explanation:
Given the magnitude measured by the Ritcher scale is given as;
R = 0.67log(0.37E) + 1.46 where E= is the energy (in kilowatt hours)
If E=1,770,000 then
R= 0.67log(0.37*1770000)
R=0.67log(654900)
R=0.67*5.81617
R=3.897
Final answer:
To determine the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy using the Richter scale formula, the calculated magnitude is approximately 5.51.
Explanation:
The Richter scale is used for measuring the magnitude of an earthquake. Given the Richter magnitude formula
R = 0.67log(0.37E) + 1.46
where E is the energy (in kilowatt hours) released by the earthquake, we can calculate the magnitude of an earthquake that released 1,770,000 kilowatt hours of energy.
First, substitute the given energy value into the formula:
R = 0.67log(0.37*1770000) + 1.46.
Performing the calculation:
0.37 * 1,770,000 = 654,900
log(654,900) = 5.816
R = 0.67 * 5.816 + 1.46
R ≈ 5.51
Therefore, the earthquake's magnitude on the Richter scale is approximately 5.51.
As runners in a marathon go by, volunteers hand them small cone shaped cups of water. The cups have the dimensions shown. Abigail sloshes 2/3 of the water out of her cup before she gets a chance to drink any. What is the volume of water remaining in Abigail's cup?
Since there's no diagram. Let us calculate using the values in the attached file to aid the comprehension of what is expected of you.
Answer:
44.657cm^3
Step-by-step explanation:
Please kindly check the attached file for more
Answer:
8π
Step-by-step explanation:
first the equation for a cone is [tex]\pi r^2\frac{h}{3}[/tex]
[tex]V=\pi *3^{2} *\frac{8}{3} \\ =\pi *9*\frac{8}{3} \\ =\frac{72}{3} \pi \\ =24\pi[/tex]
so since Abigail spilled 2/3 of the water then you do
[tex]24\pi * \frac{1}{3}\\ =8\pi[/tex]
so overall the volume of the remaning water is 8π.
Identify the pair of angles as complementary, supplementary, or neither.
A.
supplementary
B.
complementary
C.
neither
Answer:
B
Step-by-step explanation:
hope this helps
stay safe
brainliest is appreciated. :))))
Factor completely 16x4 − 81.
(2x − 3)(2x − 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 + 9)
(2x − 3)(2x + 3)(4x2 − 9)
(2x + 3)(2x + 3)(4x2 + 9)
From factoring rules for the difference of squares, it is possible rewrite the equation [tex]16x^4-81[/tex] as (2x-3)(2x+3(4x²+9).
Factoring
In math, the factoring or factorization is used to write an algebraic expression in factors.
The question gives a polynomial and asks your respective factorization. Note that [tex]16x^4-81[/tex] is a difference of squares. The factoring rules shows that the difference of squares: a² – b² = (a – b)(a + b).
If [tex]16x^4-81[/tex] is a difference of squares. You can rewrite this expression as:
[tex]16x^4-81=(4x^2-9)(4x^2+9)[/tex].
Again, you have another difference of squares: 4x²-9. You can rewrite this expression as: 4x²-9= (2x+3)(2x-3).
Hence, [tex]16x^4-81=(2x-3)(2x+3)(4x+9)[/tex].
Learn more about the factoring here:
brainly.com/question/11579257
Final answer:
The expression 16x^4 − 81 is a difference of squares and can be factored completely into (2x + 3)(2x − 3)(4x^2 + 9).
Explanation:
The student has asked to factor the expression 16x4 − 81 completely. This expression is a difference of squares, where 16x4 is the square of 4x2, and 81 is the square of 9. According to the difference of squares formula, a2 − b2 can be factored into (a + b)(a - b). Therefore, 16x4 − 81 can be factored as:
(4x2 + 9)(4x2 − 9)
Next, observe that 4x2 − 9 is another difference of squares, which can be further factored into (2x + 3)(2x − 3). Combining these factors, we get the completely factored expression:
(2x + 3)(2x − 3)(4x2 + 9)
Find the area of the shaded region. Round to the nearest tenth.
Answer: 9.3
Step-by-step explanation:
Find the number in the tenth place 2 and look one place to the right for the rounding digit 8. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
Answer:
11.6
Step-by-step explanation:
Hey help me out with this question ive been stuck on it for a while Thank youu.
Answer:
A=B
6x+18=x+93
5x=75
x=15
B=x+93
B=15+93
B=108
Step-by-step explanation:
Answer: I don't know
Step-by-step explanation: add all those probely
Can someone help me please for nth term?
Answer:
Step-by-step explanation:
23) a) n - (n+1)
Remove the parenthesis by multiplying (n+1) by (-1)
n - (n+1) = n - n - 1 = -1
b) n(n+1) = n*n + n*1
= n² + n
c) When we are adding the two numbers it is,
n² + n - 1. This will always be odd because n² + n will always be even and when we subtract 1 from that it will be odd
Example: Take n = 3
n² + n = 3*3 + 3 = 9 + 3 =12; So, n² + n -1 = 12- 1 =11 --> odd
When n = 7
n² + n = 49 + 7 = 56 ; So, n² + n -1 = 56-1 = 55 ---> odd
When n =8
n² + n = 64 + 8 = 72; So, n² + n -1 = 72 -1 = 71
When n = 16
n² + n = 256 +16 = 272 ; So, n² + n - 1 = 272 - 1 = 271 ----->odd
What is the type of fee charged for withdrawing money from a CD before the
date of maturation?
O
O
O
A. FDIC fee
B. Early redemption fee
C. Liquidity fee
SUBMIT
PREVIOUS
Answer: early redemption fee
Step-by-step explanation:
The type of fee charged for withdrawing money from a CD before the date of maturation is Early redemption fee.
We have to determine the type of fee charged for withdrawing money from a CD before the date of maturation.
We have given
A. FDIC fee
What is the FDIC fee?
It required the largest taxpayer bailout in the year 2008 financial crisis, explained in a footnote on its schedule of fees for business accounts in the nation's states that it charges an FDIC insurance fee at the annual rate of 13 cents per $100.
It related to insurance so it is not correct option.
B. Early redemption fee
The fee may be required to make to a lender if we pay off a loan or mortgage before the scheduled term of the credit facility.
So the Banks and credit unions often charge a fee if you withdraw money before maturity.
Therefore the Option B is correct.
C. Liquidity fee
This is nothing but the liquidity facility providers that the borrower may from time to time agree to pay.
Therefore this is not correct option
To learn more about withdrawing money from a CD visit:
https://brainly.com/question/1196494
If Chickens lay about 12 eggs about every 4 days how many will they lay in 1 year 2 months and 3 days?
Answer:
1284 Eggs
Step-by-step explanation:
To work this out you would first have to know how many days there are in a year, which is 365. Then you would need to add the amount of days in January and February. January has 31 days and February would have 29, and so 29 plus 31 is 60. Then you would add 60 to 365, which is 425. Then you would add 3 to 425, which is 428. Then you would divide 428 by 4, which is 107. Then you would multiply 107 by 12, which is 1284.
1) Find out how many days there are in a year.
There are 365 days in a year
2) Add 31 to 29.
[tex]31+29=60[/tex]
3) Add 60 to 365.
[tex]365+60=425[/tex]
4) Add 3 to 425.
[tex]425+3=428[/tex]
5) Divide 428 by 4.
[tex]428/4=107[/tex]
6) Multiply 107 by 12.
[tex]107*12=1284[/tex]
Which of the following are not terms in the series below? Check all that apply.
Answer:
the answer is A and B on edg
Step-by-step explanation:
Answer:
1/3 and 1/2
Step-by-step explanation:
hope this helps :)
true or false: the arrows on the opposite side of a parallelogram show that the sides are congruent
Answer:
false
Step-by-step explanation:
A plumber has a piece of pipe that is 5-meter long. He needs to cut it into sections that are 10
centimeters long.
How many sections will he be able to cut?
Complete the explanation about how you found your answer.
It can be cut into
sections.
5 meter(s) is equal to
x 100 cm =
cm.
The plumber able to cut the 5-meter long pipe into 50 sections, each measuring 10 centimeters.
To find the number of sections the plumber able to cut from a 5-meter long pipe, to convert the length to centimeters.
That 1 meter is equal to 100 centimeters. So, to convert 5 meters to centimeters, multiply 5 by 100:
5 meters × 100 centimeters/meter = 500 centimeters
Now that the length of the pipe in centimeters (500 cm), divide it by the desired length of each section, which is 10 centimeters:
500 centimeters / 10 centimeters/section = 50 sections
To know more about centimeters here
https://brainly.com/question/9133571
#SPJ2
The probability of winning the shell games if you randomly pick is 1 in 3. What would be the approximate probability of winning 4 games in a row?
Answer:
1 /81
Step-by-step explanation:
1/3 * 1/3 * 1/3 * 1/3 (One for each game) = 1/81
This question is based on the probability. Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
Given:
The probability of winning the shell games if you randomly pick is 1 in 3.
We need to calculate the approximate probability of winning 4 games in a row.
According to the question,
By using the formula of probability,
[tex]Probability = \dfrac{Number \, of \, favourable \, outcome}{Total \, number \,of\, Outcome}[/tex]
It is given that, probability of winning is 1 in 3.
Now, calculating the approximate probability of winning 4 games in a row is,
[tex]\dfrac{1}{3} \times\dfrac{1}{3} \times \dfrac{1}{3} \times \dfrac{1}{3} = \dfrac{1}{81}[/tex]
Therefore, the approximate probability of winning 4 games in a row is [tex]\dfrac{1}{81}[/tex].
For more details, prefer this link:
https://brainly.com/question/11234923
Find the circumferences of the two circles. Circle A has a radius of 21 meters and Circle B has a radius of 28 meters. Use pencil and paper. Is the relationship between the radius of a circle and the distance around the circle the same for all circles? Explain. The circumference of Circle A is nothing meters.
Answer:
Circumference of Circle A=131.95mCircumference of Circle B=175.93mStep-by-step explanation:
Given two circles A and B
Circumference of a circle =[tex]2 \pi r[/tex]Radius of Circle A=21 metersCircumference of Circle A[tex]=2*21*\pi=42\pi=131.95m[/tex] meters
Radius of Circle B=28 metersCircumference of Circle B[tex]=2*28*\pi=56\pi=175.93m[/tex] meters
The larger the radius of a circle, the larger the circumference. We notice that the radius of circle B is larger so its circumference is also larger.
Answer:
Step-by-step explanation:
its actually 42πSolve -6x + 19 = x-2. Check for extraneous solutions.
Answer:
x=3 one solution
Step-by-step explanation:
Let's solve your equation step-by-step.
−6x+19=x−2
Step 1: Subtract x from both sides.
−6x+19−x=x−2−x
−7x+19=−2
Step 2: Subtract 19 from both sides.
−7x+19−19=−2−19
−7x=−21
Step 3: Divide both sides by -7.
−7x /−7 = −21 /−7
x=3
Answer:
x = 3
Step-by-step explanation:
Solve -6x + 19 = x-2
Solve for x:
19 - 6 x = x - 2
Subtract x from both sides:
19 + (-6 x - x) = (x - x) - 2
-6 x - x = -7 x:
-7 x + 19 = (x - x) - 2
x - x = 0:
19 - 7 x = -2
Subtract 19 from both sides:
(19 - 19) - 7 x = -19 - 2
19 - 19 = 0:
-7 x = -19 - 2
-19 - 2 = -21:
-7 x = -21
Divide both sides of -7 x = -21 by -7:
(-7 x)/(-7) = (-21)/(-7)
(-7)/(-7) = 1:
x = (-21)/(-7)
The gcd of -21 and -7 is -7, so (-21)/(-7) = (-7×3)/(-7×1) = (-7)/(-7)×3 = 3:
Answer: x = 3
what is 2/5 - 1/3 = ?
Answer:
1/15
Step-by-step explanation:
Mateo has two fish tanks that have different volumes.
He wants to use the tank that can hold the greatest
amount of water. Which tank should he use, and why?
Mateo should use
The correct answer was tank:B
Answer: Tank B, because it has the greatest volume
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I don't really know, but his fish needs more space to move around, like all fish tanks.
Can someone help me please
Maria has 56.20 feet of ribbon to use for a border around a rectangular bulletin board in her
classroom. The board is 4.47 feet tall and 7.25 feet wide. How many feet of ribbon will Maria
have left after she puts the border around the bulletin board?
Answer:
32.76 ft
Step-by-step explanation:
step 1
Find the perimeter of the rectangular bulletin board
The perimeter of rectangle is given by
[tex]P=2(W+H)[/tex]
where
W is the width
H is the height
we have
[tex]W=7.25\ ft\\H=4.47\ ft[/tex]
substitute
[tex]P=2(7.25+4.47)=23.44\ ft[/tex]
step 2
Subtract the perimeter from the total feet of ribbon
so
[tex]56.20-23.44=32.76\ ft[/tex]
The circle above has a radius of 9 cm what is the area of the circle? pi equals 3.14
Answer:
The area of the circle would be 254.469004941 cm²
Hope this helps!! :)
Answer:
254.34cm²
Step-by-step explanation:
In order to find the area of a circle, you use the formula
[tex]A=\pi[/tex]×[tex]r^{2}[/tex], which is [tex]A=\pi (9)^{2}[/tex] if put into this problem.
You look for [tex]9^{2}[/tex] which equals 81. Then you plug it in to multiply to [tex]\pi[/tex]. Which is:
[tex]A=81\pi[/tex]
[tex]A= 254.34[/tex]