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Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils. Without looking, Carlos pulls out 22 pencils. If the pencils were distributed randomly in the bin, how many pencils of each color is it most likely that he picked?
A. 8 red, 7 green, 7 blue
B. 10 red, 7 green, 5 blue
C. 10 red, 8 green, 4 blue
D. 11 red, 6 green, 5 blue
E. 12 red, 6 green, 4 blue
Answers
Answer:
E. 12 red, 6 green, 4 blue
Step-by-step explanation:
To find the number of colored pencils for each color, we must find ratios.
480 red: 240 green: 160 blue
Then we divide them to the simplest ratios.
We divide all the numbers by 80.
6 red: 3 green: 2 blue
There are a total of 11 pencils here. To get 22 pencils, you multiply the ratio by 2 to get 22 pencils.
12 red: 6 green: 4 blue
The pencils of each color are 12 red, 6 green, 4 blue. The correct option is E.
What is ratio?The numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.
Given:
Carlos is picking colored pencils from a large bin that contains only 480 red pencils, 240 green pencils, and 160 blue pencils.
Without looking, Carlos pulls out 22 pencils.
The pencils were distributed randomly in the bin.
To find the numbers of pencils of each color:
First, we will find the ratio.
Red : Green : Blue
= 480 : 240 : 160
We will factor out the common factor,
= 12: 6: 4
Therefore, 12 red, 6 green, 4 blue are the pencils of each color.
To learn more about the ratio;
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Related Questions
What is the surface area of this rectangular prism?
SA =
ft2
Answers
Answer:1,504
Step-by-step explanation:
20x16=320
20x12=240
16x12=192
16x20=320
12x16=192
12x20=240
add them all the answer will be 1,504
18. What is the value of the 5 in 256
A. 5/10
SO
B. 10/5
C. 5/100
D. 100/5
Answers
Answer:
A. 5/10
Step-by-step explanation:
Because the 5 in 256 is ine in tength's place. And 5/10 is 0.5 or 50
Assuming that you have 50 subjects that you want to randomly assign to two different groups of 25, explain how you would use a random number table to do it. (10 points; 7 for your answer, 3 for response to others' comments.)
Answers
A random number table can be used by first assigning a number to each subject and then randomly selecting the subjects for each group.
What is a random number table?This is table that contains random numbers and it is used to select random samples.
How to use it in this case?Assign a number to each participant from 1 to 50.Grab the random number table and without looking point at a number in the table.If the last two digits of the number are between 01 and 50, assign the participant to the first group. If not select another number.Assign 25 participants to the first group using this metho and then automatically assign the remaining 25 participants to the second group.Learn more about numbers in: https://brainly.com/question/17429689
Check
Find the area of the given triangle.
feet
The base (6) of the triangle is
feet
1
1
The height (h) of the triangle is
25 feet
1
1
The area of the triangle is
square feet
115 feet
10 feet
Dono
Answers
Height = 15
A= 1/2bh
10x15 is 150.
150x1/2 is 75, so the area is 75.
Evaluate F ( 3 ) :
F ( 3 ) =
X =
Answers
Answer:
f(3) = 1
x = 2
Step-by-step explanation:
f(2) = 3 then x = 2
Please ,Check the illustration I provided.
What was her speed?
0.1 mile per minute
0.5 mile per minute
5 miles per minute
10 miles per minute
Answers
Answer:
0.1 mile per minute
( option A )
7<2x+3<=13 write solution in interval notation
Answers
Answer:
2<x<_5
Step-by-step explanation:
A basket contains 40 mangoes out of which 8 are rotten. Find the percentage of the mangoes that are in good condition
Answers
So 32/40 are good
32/40 as a percentage is 80%
There are 80% of mangoes which are good condition.
What is percentage?Percentage is a relative value indicating hundredth parts of any quantity.
Given that, A basket contains 40 mangoes out of which 8 are rotten.
Mangoes in total = 40
Number of mangoes which are rotten = 8
Mangoes which are good condition = 40-8 = 32
Percentage of good mangoes = 32/40x100 = 80%
Hence, 80% of mangoes are not rotten.
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How can we use the distributive property to find an expression equivalent to
10(5 – 2x)? Place the steps in order.
Answers
Answer: multiply 10 to both terms and subrtact products
Step-by-step explanation:
10(5 - 2x)
multipy 10 to both terms
50 20x
subtract products
50 - 20x
Answer:
1. subtract 2×from get 3.×= 682+ 4672
pls like and follow me you byeHow would you write 8^5 as a multiplication expression?
OA 8x5
ОВ.8x8x8x8x8
OC. 5x5x5x5x5x5x5x5
Answers
Answer:
The answer is B
Step-by-step explanation:
Because the exponent shows how many times you multiply that number
Example: 8^2 would be 8x8 because it is to the second power
Hopefully this helps
Answer:
Step-by-step explanation:
8•8•8•8•8 is the correct answer
Solve 5+ 4.7 (21 + 3x) = 41
Answers
Which of the following data sets are NOT likely to be normally distributed?
The day of the month on which randomly selected students were born
The day of the month on which randomly selected students were born
The final exam scores of all students taking the same class and given the same final exam in a large school district
The final exam scores of all students taking the same class and given the same final exam in a large school district
The number of wheels on the next 100 vehicles that pass by a point along a highway
The number of wheels on the next 100 vehicles that pass by a point along a highway
The heights of tenth-grade male students at a large high school
The heights of tenth-grade male students at a large high school
The IQs of the students at a large high school
Answers
Answer:
Which group's distribution of race times would most likely have the largest standard deviation? The group competing in the open competitions is most likely to have a higher standard deviation than the group competing in the qualified competitions .
Step-by-step explanation:
How many congruent faces does the square pyramid below have?
A.
5
B.
6
C.
4
D.
2
Answers
Answer:
C. 4
Step-by-step explanation:
Each side of the Square pyramid is congruent
Answer: c which is 4 sides
Step-by-step explanation: the square pyramid has 4 sides which are having equal sides so they are congruent . Hope it helps . Please give brainliest .
Which of the following sets of numbers could represent the three sides of a triangle?
{6,18,24}
{5,16,22}
{11, 17, 27}
{ 8, 15, 24}
Answers
{11, 17, 27}
============================================================
Explanation:
Let's go through the answer choices.
A) This won't work because 6+18 = 24 which is not larger than the third side 24. The sum of any two sides must be larger than the other side. Refer to the triangle inequality theorem.B) 5+16 = 21 is not larger than 22, so we rule this out as well.C) We'll come back to this laterD) We rule this out because 8+15 = 23 is not larger than 24.Now return back to choice C. Notice how adding any two sides leads to a sum larger than the third side
11+17 = 28 is larger than 2711+27 = 38 is larger than 1717+27 = 44 is larger than 11The three conditions of the triangle inequality theorem are met, so a triangle is possible for choice C.
Find the measure of ∠b.
A. 110∘
B. 102∘
C. 111∘
D. 121∘
Answers
Answer:
110 :)
Step-by-step explanation:
Triangle total angle measurement: 180
Now lets solve!
28 + 42 + ? = 180
70 + ? = 180
Now we have to subtract!!
180 - 70 = 110
Have an amazing day!!
Please rate and mark brainliest!!
28 + 42 + ∠b = 180
70 + ∠b = 180
∠b = 180 - 70
∠b = 110
Age of car = 4 years. Original cost = $13,850. The current market value is $
Answers
Using an exponential function, supposing that the value decays 10% a year, it is found that the current market value is $9,087.
What is an exponential function?A decaying exponential function is modeled by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, supposing a decay of 10% a year, and the original value of $13,850, the parameters are A(0) = 13850, r = 0.1.
Hence, the value of the car in 4 years is given by:
[tex]A(t) = A(0)(1 - r)^t[/tex]
[tex]A(4) = 13850(0.9)^4[/tex]
A(4) = 9087.
More can be learned about exponential functions at https://brainly.com/question/25537936
5. You get a car loan for $13,000 to buy a used car. The car dealer who gives you the loan charges
8.4% interest, compounded monthly, for 4 years.
(a) What's the total amount you will have to pay back for this loan?
(b) What is your monthly payment for this loan?
Answers
Answer:
Total = $15,351.10
Monthly = $319.81
Please help me with this question
Answers
Answer:
x = 110y = 62Step-by-step explanation:
xThe angle where chords cross is the average of the measures of the intercepted arcs. The angle that is the supplement of x° will be the average of interecepted arcs 60° and 80°.
180° -x° = (60° +80°)/2
180 -70 = x . . . . . . . . . . . divide by °, add x-70
x = 110
__
yThe external angle where secants meet is half the difference of the intercepted arcs.
59° = (180° -y°)/2
118 = 180 -y . . . . . . . multiply by 2, divide by °
y = 180 -118 . . . . . add y-118
y = 62
If the figure is a net of a square pyramid, drag it to the “Nets of Square Pyramids” column.
If the figure is not a net of a square pyramid, drag it to the “Not Nets of Square Pyramids” column.
Answers
Answer:
Step-by-step explanation:
1st is a net of a square pyramid.
2nd is a net of a square pyramid.
3rd is not a net of a square pyramid.
4th is not a net of a square pyramid.
5th is a net of a square pyramid.
6th is not a net of a square pyramid.
Answer:
see attached
Step-by-step explanation:
A net of a square pyramid will have four triangle shapes representing the lateral faces, and one square shape representing the base. The vertices of the triangles that are opposite the base edge will meet at a single point.
__
Figures 3 and 4 must be rejected because they have 3 and 5 triangles, respecively.
Figure 6 must be rejected because the figure cannot be folded to form a square pyramid. (The two left-side triangles will overlap.)
Help picture below problem 18 will give brainlest
Answers
Answer:
c²=a²+b².
Step-by-step explanation:
28²=17²+b² 766=289+b². -b²=289-766. b²=√475
in how many years will 600$ double itself at 10% simple interest?
Answers
Answer:
10years
Step-by-step explanation:
100%+100%=double
100/10=10 years to reach 100% so after ten years you will have 200%/double
[tex]\qquad \qquad \huge \pink {\sf{☁Answer☁}} \\ \\ [/tex]
[tex] \\ \large \purple{ \sf{Given→}} \\ [/tex]
P (Principal) → 600$R (the annual rate) → 10% ,0.1nd
Time → years let be x[tex] \sf{A = 2P} \\ \sf{A = 2 \times 600} \\ \sf{ A =\:1200} \\ \sf{cuz \: future \: value \: since \: the \: 600 \: will \: double \: itself}[/tex]
[tex]\blue{\rule{70mm}{2.2pt}}[/tex]
[tex] \\ \large \purple { \sf{Formula \: used→}} \\ \\ \rm{A = P(1 + r \times t)}[/tex]
[tex]\blue{\rule{70mm}{2.2pt}}[/tex]
→Substituting values
[tex]\rm{1200 = 600(1 + 0.1 \times x)} \\ \\ \rm{600(1 + 0.1 \times x) = 1200} \\ \\ \rm{1 + 0.1 \times x = \frac{1200}{600} } \\ \\ \rm{ 1 + 0.1 \times x = \cancel \frac{1200}{600} } \\ \\ \rm{1 + 0.1 \times x = 2} \\ \\ \rm{0.1 \times x = 2 - 1} \\ \\ \rm{x = 1 \times \frac{10}{1} } \\ \\ \rm{x =10 } [/tex]
[tex]\underline{\underline{\rule{70mm}{2.2pt}}}[/tex][tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
please help! (math)
Which expression is equivalent to the one below?
-1/2(10+1/4)
Answers
Answer:
B
Step-by-step explanation:
-½(10+¼)
-½*10 + -½*¼
-5 + -⅛
-5-⅛
Don't forget a positive and negative makes a negative
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answers
Answer:
UW = 97 cm
Step-by-step explanation:
UW is congruent to VX and VX is 97 cm so UW would be 97 cm
Answer:
97
Step-by-step explanation:
As you can see, the marks on that trapezoid show that those 2 sides are equal in length, so both of those sides are equal.
Hope This Helps! :) Please Mark as Brainliest!
HELP PLS
WORTH 1 POINT
GIVING 10
WHAT DID I DO WRONG?
Answers
supplementary angles form a straight line (together 180°) and the ones that you indicated didn't.
Solve 3x+1=15 for using the change base formula
Answers
Answer:
Step-by-step explanation: X = 4/3 or X= 1.3
3x + 1 = 5
3x = 5 - 1
3x = 4
X= 4/3 or X= 1.3
Who was one of the earliest non-king leaders of the Benin people?
A. Sakura
B. Oranyan
C. Ekewa
D. Sundiata
Answers
Answer:
the answer is d , sundiata!
Step-by-step explanation:
the
A shop charges `\$1.95` for a small `3`-ounce soft serve.
What is the cost per ounce of soft serve?
Answers
Krista Kellman has an opportunity to purchase a government security that will pay $200,000 in 5 years.
Answers
No spammers pls and also giving brainliest to correct answer
Answers
Answer:
C. (5 , 6)
Step-by-step explanation:
a dilation of center O(0,0) and 3 as a scale factor :
Transform point (x , y) to point (3x , 3y)
Then it transforms R(1 , 2) to R’(3 , 6)
Now ,we translate R’(3 , 6) by the translation (x , y) ——-> (x+2 , y)
So , R’(3 , 6) ————> R’’(3+2 , 6)
can someone help with this?
Answers
Answer:
4) r = 10 yd
d = 20 yd
5) r = 7 in
d = 14 in
6) r = 15 ft
d = 30 ft
7) r = 23 in
d = 46 in
8) r = 16 yd
d = 8 yd
9) r = 21 ft
d = 42 ft
Step-by-step explanation:
Diameter = 2 x radius
*diameter (d)*
*radius (r)*
