Question:
A gardener planted flowers of different colors.
3/10 of the flowers are yellow.
3/4 of the remaining flowers are green.
The rest of the flowers are purple.
The gardener planted 119 purple flowers, how many flowers did the gardener plant?
Answer:
[tex]Total = 680[/tex]
Step-by-step explanation:
Represent Yellow with Y, Green with G and Purple with P
[tex]Y = \frac{3}{10}[/tex]
First, we need to determine the fraction of the rest.
[tex]Yellow + The\ Rest = 1[/tex] ---- In terms of fraction
[tex]The\ Rest = 1 - Yellow[/tex]
[tex]The\ Rest = 1 - \frac{3}{10}[/tex]
[tex]The\ Rest = \frac{10 - 3}{10}[/tex]
[tex]The\ Rest = \frac{7}{10}[/tex]
We have that:
[tex]G = \frac{3}{4} * The\ Rest[/tex]
[tex]G = \frac{3}{4} * \frac{7}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
To solve for the fraction of Purple, we make use of:
[tex]Y + G + P = 1[/tex]
[tex]P = 1 - Y - G[/tex]
Recall that: [tex]Y = \frac{3}{10}[/tex] and [tex]G = \frac{21}{40}[/tex]
So:
[tex]P = 1 - \frac{3}{10} - \frac{21}{40}[/tex]
[tex]P = \frac{40 - 12 - 21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
At this point, we have the fraction of each flower as:
[tex]Y = \frac{3}{10}[/tex]
[tex]G = \frac{21}{40}[/tex]
[tex]P = \frac{7}{40}[/tex]
Also, we have that:
[tex]P = 119[/tex]
The relationship between both values of P is:
[tex]\frac{7}{40} * Total = 119[/tex]
[tex]Total = 119 * \frac{40}{7}[/tex]
[tex]Total = \frac{119 * 40}{7}[/tex]
[tex]Total = \frac{4760}{7}[/tex]
[tex]Total = 680[/tex]
In a group of five students who took the same test, four of the scores were 85, 92, 81, and 95. If the average of the five students was 89, what was the score of the fifth student?
Answer:
92
Step-by-step explanation:
89 x 5 = 445
85 + 92 + 81 + 95 = 353
445 - 353 = 92
The score of the fifth student is 92.
What is an average?An average is a single number taken as representative of a list of numbers, usually the sum of the numbers divided by how many numbers are in the list.
Now it is given that,
Average of the five students = 89
Scores of four students = 85, 92, 81, and 95
Number of students = 5
Let the score of fifth student be x.
⇒Average of the five students = scores of five students/Number of students
∵scores of five students =Scores of four students + score of fifth student
∴scores of five students = 85+92+81+95+x
⇒scores of five students = 353+x
∴Average of the five students = (353+x)/5
⇒89 = (353+x)/5
or, 445 = 353+x
or, x = 445 - 353
⇒ x = 92
Hence, the score of the fifth student is 92
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The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region Membership
Alabama 114
Arizona 261
Maryland, Delaware, DC 319
Connecticut 183
Florida 654
Georgia 313
Hawaii 58
Maine 98
Minnesota, Dakotas 335
Missouri, Kansas 324
Mississippi 52
Nebraska 125
North Carolina 342
Nevada 66
New Jersey, Bermuda 321
Alaska, Idaho, Montana, Oregon, Washington 893
New York 690
Ohio 798
Oklahoma 201
Arkansas 74
Illinois 632
Indiana 216
Iowa 76
Kentucky 155
Louisiana 161
Michigan 304
Massachusetts 530
California 1,110
New Mexico 93
Pennsylvania 631
Rhode Island 75
Colorado 344
South Carolina 264
Texas 1,120
Tennessee 122
Utah 45
Virginia 304
Vermont, New Hampshire 192
Wisconsin 316 West Virginia 63
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 1 decimal places.)
Mean?
Median?
Standard deviation?
b-1. Find the coefficient of skewness, using the software method? (Round your answer to 2 decimal places.)
Coefficient of skewness?
b-2. What do you conclude about the shape of the distribution of component size?
Mild positive skewness or Mild negative skewness
(d-1) Are there any outliers?
One, Zero, Three, Four, Two
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
114, 261, 319, 183,654,313,58,98,335,324,52,125,342,66,321,893,690,798,201,74,632,216,76,155,161,304,530,1110,93,631,75,344,264,1120,122,45,304,192,316,63
USING CALCULATOR :
The mean(m) of the data: = ΣX/n
n = sample size = 40
m = 12974/40
m = 324.4
Median = ((n + 1)/2) th term = 41/2 = (20 + 21)th term / 2
= (261 + 264) / 2 = 262.5
Standard deviation (s) = sqrt(Σ(x - m)²/n))
s = 281. 74
B.) Coefficient of skewness (Ks) :
3(mean - median) / standard deviation
3(324.4 - 262.5) / 281.74
= 0.66
Mild positive skewness Given a positive skew Coefficient value.
(d-1) Are there any outliers?
Yes
Four outliers
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Lower bound = Q1 - (1.5 * IQR)
Upper bound = Q3 + (1.5 * IQR)
IQR = Q3 - Q1
Q3 = upper quartile = 343 ; Q1 = 106 ; Q2 = 262.5
IQR = 343 - 106 = 237
Lower bound = 106 - (1.5 * 237) = - 249.5
Upper bound = 343 + (1.5 * 237) = 698.5
-249.5 ≤ X ≤ 698.5
ABCD=FGHI. What is the measure of <1 and <2?
Answer:
Angle 1 = 95°, and Angle 2 = 60°
This is due to the definition of congruent polygons, where the corresponding angles, and sides are equivilent just as it is ordered.
Which measurement could represent they side lengths of a right triangle?
a. 3m, 4m, 5m
b. 10m, 12m, 16m
c. 6m, 8m, 12m
d. 4m, 5m, 9m
In the diagram below, the expression in each circle is the result of the sum
of the two rectangles connected to it.
Complete the diagram, writing the expressions in their simplified form.
4x + 3y- rectangle
5x + 7y
x + 4y
4x + 5y
2x - y
Answer/Step-by-step explanation:
The circle by your left:
(4x + 3y) + (2x - y)
Distribute +1
4x + 3y + 2x - y
Add like terms together
6x + 2y
The rectangle by at the bottom right:
(4x + 5y) - (x + 4y)
Distribute -1
4x + 5y - x - 4y
Group like terms
4x - x + 5y - 4y
3x + y
The circle at the bottom middle:
(2x - y) + (3x + y)
Distribute +1
2x - y + 3x + y
Group like terms
2x + 3x - y + y
5x
Fill in a negative integer to make the statement true
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
HK bisects GHJ. Find GHK and KHJ. Angle JHG measures 161
Answer: m∠GHK=80.5,
m∠KHJ=80.5
Step-by-step explanation:
Answer:
I would say both GHK and JHK equal 80.5 degrees. (if it is allowed with decimals).
Step-by-step explanation:
Bisectors are lines that basically cut an angle in half. Since JHG is the whole angle, the bisector, HK, halves it. So, both GHK and KHJ should be the same, since they both are half of the original angle. As a result, 161 divided by 2 is 80.5 degrees.
Need help ASAP please! Simplify these.
Answer:
x³/2
8x³/7
5x²/3
3/4x³
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
What is the value of h(3)?
PLEASE!!
NEED HELP
ASAP
Answer:
set of all solutions
Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters
Answer:
22 dimes
10 quarters
Step-by-step explanation:
$4.70 = 0.25(q + 9) + 0.1d
4.7 = 0.25q + 0.25(9) + 0.1d
4.7 = 0.25q + 2.25 + 0.1d
2.45 = 0.25q + 0.1d
24.5 = 2.5 + d
22 = d = 22 dimes
$4.70 = 0.25(q + 9) + 0.1(22)
4.70 = 0.25q + 0.25(9) + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 4.45
0.25 = 0.25q
1 = q
1 q + 9 q = 10 quarters
Check:
$4.70 = 0.25(q + 9) + 0.1(d)
$4.70 = 0.25(1 + 9) + 0.1(22)
$4.70 = 0.25(10) + 0.1(22)
$4.70 = 2.5 + 2.2
$4.70 = 4.7
Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
The graph shows the linear relationship between the balance in a student school lunch account and the number of lunches purchased
Answer:
Step-by-step explanation:
The sum of three consecutive integers is 48. What are the three numbers?
What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.
Simplify using the distributive property
Which number can be distributed across two terms inside parentheses
Answer:
3/5 is the number that can be distributed across two terms inside parentheses.
you might not need it but:
x = 5
Step-by-step explanation:
3/5(x - 10) = 18 - 4x - 1
using distributive property, open the parentheses:
3/5x - 6 = 18 - 4x - 1
Simplify:
3/5x + 4x = 17 + 6
4⅗x = 23
x = 5
Answer:
It's 3/5
Step-by-step explanation:
It's 3/5
What is the solution to this equation? −5n+5=−15 Enter your answer in the box. n =
Answer:
4.
Step-by-step explanation:
−5n+5=−15
Step 1: Subtract 5 from both sides.
−5n+5−5=−15−5
−5n=−20
Step 2: Divide both sides by -5.
−5n
−5
=
−20
−5
n=4
Can I have Brainlliest? Hope it helps.
Answer:
n=4
Step-by-step explanation:
Write another ratio that’s is equilevent too.4:6 and how do u know that your new ratio is equivelant too 4:6
Answer:
8:12
Step-by-step explanation:
Another ratio that is equivalent to 4:6 would be 8:12;
To find another ratio equivalent to another, simply find the multiples of the numbers that make up the ratio.
Using 2 as multiplier;
2 ( 4 : 6) = 8 : 12
I am sure of this because when we reduce both ratio to their lowest term, we get the same value;
4: 6 8: 12
divide by 2 divide by 4
2: 3 2 : 3
Find the difference: 4.203 - 0.01
Answer:
4.193
Step-by-step explanation:
you line up the decimals then subtract to get 4.193
Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?
Answer:
Charlie owns 9,315 ft2 of the land area
Step-by-step explanation:
There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.
Mabel owns 26% of the land area, that is:
26*34,500 ft2 / 100 = 8,970 ft2
Adeline owns 47% of the land area, or:
47*34,500 ft2 / 100 = 16,215 ft2
The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2
Since the total area land is 34,500 ft2, Charlie owns:
34,500 ft2 - 25,185 ft2 = 9,315 ft2
Charlie owns 9,315 ft2 of the land area
-45 x (-2) solve please
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation:
When you were playing the integer game the first two cards that were selected were -8 and -10. What is the value in your hand?
Write an equation to justify your answer
what is the distance of the sum from -8
Answer:
The value in your hand is -18
let the value be x, then the equation is:
x = -8 + (-10)
x = - 8 - 10
x = - 10
the distance of the sum from -8 is the distance between -8 & -10, i.e -8 - (-10) = 2.
Ruben bought 666 comic books for \$21$21dollar sign, 21. Each comic book was the same price. What was the cost for 111 comic books?
Answer:
Each comic book is $3.30
Step-by-step explanation:
$21 divided by 6= $3.50
Answer:
Each comic book is $3.30
Step-by-step explanation:
$21 divided by 6= $3.50
i need help ASAP What is the slope of this line? Enter your answer as a fraction in simplest term in the box.
m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
You purchase a total of 10 books. Some of the books are paperback and some are hardcover.
The number of paperbacks is two less than three times the number of hardcover books. How
many of each did you buy?
Answer
You bought 7 paperbacks and 3 hardcovers.
Step-by-step explanation: This doesn't seem college level! Jokes aside, you solve this with a system of equations. Your first equation is 10 = p + h, where p stands for the number of paperbacks and h stands for the number of hardcovers. Your second equation is p = 3h - 2, meaning that the number of paperbacks is triple the number of hardcovers minus 2. Now, you just have to plug in p = 3h - 2 into your first equation, and you get 10 = (3h - 2) + h. 4h = 12, and h = 3, meaning the number of hardcovers must be 3. All you have to do now is subtract 3 from 10, and you have 7, which is the number of paperbacks!
Out of the total number of 10 books bought, there were 3 hardcovers and 7 paperbacks
Paperbacks are two less than three times the hardcovers. Assume the hardcovers are x, the paperbacks would be represented as:
= 3x - 2
Solving would give:
10 = Paperbacks + Hardcovers
10 = 3x - 2 + x
10 = 4x - 2
4x = 10 + 2
x = 12/4
x = 3 hardcovers
Paperbacks:
= 10 - 3
= 7
In conclusion, there are 3 hardcovers and 7 paperbacks.
Find out more at https://brainly.com/question/17082613.
A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?
Answer:
2 gallons
Step-by-step explanation:
divide 6 by 3 because that's the amount
Answer:
2 gallons
Step-by-step explanation:
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10.
Rectangle C has length 30 and width 15.
1. Is Rectangle A a scaled copy of Rectangle B? If so, what is the scale factor?
2. Is Rectangle B a scaled copy of Rectangle A? If so, what is the scale factor?
3. Explain how you know that Rectangle C is not a scaled copy of Rectangle B.
4. Is Rectangle A a scaled copy of Rectangle C? If so, what is the scale factor?
1. no
2. no
3. there's no rational factor
4. no
I'm probably wrong...
Logic puzzle,Riddles
You enter a bedroom there are 34 people. You kill 30. How many are in the bedroom?
Answer:
4
Step-by-step explanation:
yes