%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified. percentage. Percentile in mathematics is a related topic.
An estimated 1.57% of the entire audience, or 6.2% of viewers in the 16–25 age range, gave the film a bad rating.
Detailed explanation:This rating was given to the film by viewers in the 16–25 age range, based on the information provided:
Fantastic: 52 viewers
Excellent: 42 viewers
12 average viewers
mediocre: 7 viewers
113 viewers overall in this age group
audience overall: 446
As a result, the following percentages were determined by total viewers in this age group and by the entire audience:
Excellent: 52/113 = 46.02% and 52/446= 11.66%
Fortunately, 42/113 is 37.17% and 42/446 is 9.42%.
12/113 = 10.62% on average, while 12/446 = 2.7%
Unsatisfactory: 7/113 = 6.2% and 7/446 = 1.57%
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THE PATTERN OF 165,000
The scientific notation of the whole number 165000 is (1.65 * 10⁵).
As per the question statement, we are provided with a number which is 165000.
We are require to determine the scientific notation of the above mentioned number.
To solve this question, first we need to understand what does it mean by the scientific notation of a number.The scientific notation is a form of presenting very large numbers or very small numbers in simpler, easily understandable form by expressing the number as a product of decimal number between 1 and 10, and powers of 10.Here, 165000 can be written as (165 * 1000)
Or, 165000 = (1.65 * 100 * 1000)
Or, 165000 = (1.65 * 100000)
Or, 165000 = (1.65 * 10⁵)
That is, the scientific notation of 165000 is (1.65 * 10⁵).
Whole number: In Mathematics, every element of the set of positive integers including Zero upto infinity is a whole number.To learn more about scientific notation of whole numbers, click on the link below.
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−5 1/3÷2 3/4 PLEASE HELP MEEEEEEEEEEEEEEEEEEEEE
Answer:
[tex]\sf -1\dfrac{31}{33}[/tex]
Step-by-step explanation:
Fraction division:
First convert mixed fraction to improper fraction.[tex]\sf -5\dfrac{1}{3}=\dfrac{-16}{3}\\\\\\2\dfrac{3}{4}=\dfrac{11}{4}[/tex]
Use KCF method. Keep the first fraction. Change division to multiplication and flip the second fraction.[tex]\sf \dfrac{-16}{3} \ \div \ \dfrac{11}{4}=\dfrac{-16}{3}*\dfrac{4}{11}[/tex]
[tex]\sf = \dfrac{(-16)*4}{3*11}\\\\=\dfrac{-64}{33}\\\\[/tex]
Now, convert improper fraction to mixed fraction.[tex]\sf = -1\dfrac{31}{33}[/tex]
Answer: -64/33 or -1 31/33
Step-by-step explanation:
First, whenever you are dividing mixed fractions we always convert them to an improper fraction, so let’s do that first.
We multiply the whole number to the denominator and then add that number to the numerator.
-5 1/3
This would be (-5*3) + -1(note that since it’s a negative number, we would have to subtract this
= -16, and add the original denominator 3 also, so it’s -16/3
Do the same for 2 3/4
(2*4) + 3 = 11
11/4
(-16/3) / (11/4)
Now to convert this expression into multiplication, we use the reciprocal(flipped version) of the divisor
11/4 would become 4/11
Which makes the expression:
(-16/3) * (4/11)
Now just multiply the denominators with each other and the numerators
-16*4 = -64
3*11 = 33
Your answer would be -64/33 or in mixed fraction form, -1 31/33
Justin has 71 newspapers to deliver in 3 days. He
delivers the same number of newspapers each day.
How many newspapers does Justin deliver each day
How many newspapers are left over?
What is 10 time 5000?
An engineer designed a scale model of a 1940 Ford pickup truck using a scale in which 2 inches represents 3 feet. The length of the 1940 Ford pickup truck is 15.75 feet
According to the concept of scales, the scale length of the scale model of the 1940 Ford pickup truck is 10.5 inches.
How to determine the length of a scale model?
Scale models are useful resource to describe huge and tiny system at a reasonable scale, whose dimensions are derived from the concept of scale, which relates scale lengths to real lengths in the following manner:
d' = r · d
Where:
d - Real length, in feet.d' - Scale length, in inches.r - Scale, in inches per feet.If we know that d = 15.75 ft and r = 2 / 3 in / ft, then the scale length of the 1940 Ford pickup truck is:
d' = (2 / 3 in / ft) · (15.75 ft)
d' = 10.5 in
By using the concept of scale, the length of the scale model is 10.5 inches.
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If the cost of buying three sodas and a candy bar are given by the expression 3c + 1.50, where c is the cost of a soda can.
What is an equivalent expression to the cost?
Select ALL that apply.
Select all that apply
A1.50 +3c
B (0.50 + c)3
C 3.50c +1
D 3(c+0.50)
E 4.50c
Answer: A, B, D
Step-by-step explanation:
1) Find all expressions that will result in 3c + 1.50
A) 1.50 + 3c
= 3c + 1.50
Yes!
B) (0.50+c)3
=1.5+3c
= 3c + 1.50
Yes!
C) 3.50c + 1
No!
D) 3(c+0.5)
=3c+1.50
Yes!
E) 4.50c
No!
Answer:
Step-by-step explanation: A,B,D
Algebra Questions I need help with!
The quadratic equations are given as follows:
37. y = 1.6(x² - 2x - 3).
38. y = x² - x.
39. y = 0.4074(x² - 12x + 11).
Item 37The roots of the quadratic equation are at x = -1 and x = 3, hence it can be written as follows:
y = a(x + 1)(x - 3)
In which a is the leading coefficient.
Hence:
y = a(x² - 2x - 3)
When x = 1, y = -8, hence the leading coefficient a can be found as follows:
-8 = a(1 - 2 - 3)
5a = 8
a = 8/5
a = 1.6
Hence the equation is:
y = 1.6(x² - 2x - 3).
Item 38The roots of the quadratic equation are at x = 0 and x = 1, hence it can be written as follows:
y = ax(x - 1)
Hence:
y = a(x² - x)
When x = 2, y = -2, hence the leading coefficient a can be found as follows:
2 = a(2² - 2)
2a = 2
a = 1.
Hence the equation is:
y = x² - x.
Item 39The roots of the quadratic equation are at x = 1 and x = 11, hence it can be written as follows:
y = a(x - 1)(x - 11)
Hence:
y = a(x² - 12x + 11)
When x = 2, y = -11/3, hence the leading coefficient a can be found as follows:
-11/3 = a(4 - 24 + 11)
9a = 11/3
a = 11/27
a = 0.4074.
Hence the equation is:
y = 0.4074(x² - 12x + 11).
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four red balls and three green balls are placed in a bag. if you take two of the balls out of the bag without replacement, what is the probability that both balls are red? (enter your probability as a fraction.)
The probability of both balls being red is 2/7
Given that there are four red balls and three green balls in a bag and two of the balls are out of the bag without replacement.
We must find the probability that both balls are red.
Let us consider,
Probability of drawing a red ball = 4 red balls / 7 total balls
1st draw is (4/7)
None are replaced, (put back in the bag) so now there are 3 red balls in a bag of 6 total balls.
2nd draw is 3/6 = (1/2)
Multiply the probabilities together to find the chance of drawing red 2 times in a row.
= (4/7) * (1/2)
= 2/7
Hence, the probability that both balls are red is 2/7
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The table below shows the number of miles Tony ran and the calories he burned per mile.
CALORIES BURNED
PER MILE
Miles
OB 200
OC. 240
Celories
Which number completes the table?
O A 160
D. 180
60
2
The required number of calories burned at the 4 miles of running is 160 calories. Option A is correct.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The rate of the calorie burning per mile = 40 calorie/mile,
For the running of the 4 miles,
Calorie burned at 4 mile of running = 40 (4) = 160 calories,
Thus, the required number of calories burned at the 4 miles of running is 160 calories.
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why is the central limit theorem so important to the study of sampling distributions? group of answer choices it allows us to disregard the shape of the sampling distribution when the size of the population is large. it allows us to disregard the shape of the population when n is large. it allows us to disregard the size of the sample selected when the population is not normal. it allows us to disregard the size of the population we are sampling from.
Answer:
It allows us to disregard the shape of the population when n is large.
Step-by-step explanation:
When the sample size is large it gets close to a normal distribution regardless of the actual distribution shape of the population.
A freshman class has 575 students. A random sample of 50 students found that 12 students prefer football to basketball. Estimate the number of freshman who prefer football to basketball.
Approximately
___________ freshmen prefer football.
The number of freshman who prefer football to basketball is 138 students
How to calculate the value?It should be noted that the random sample of 50 students found that 12 students prefer football to basketball.
The students that prefer football will be:
= Fraction × Total number of students
= 12/50 × 575
= 6900/50
= 138
There will be 138 students.
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3 ratios equivalent to 6:10
Answer:
20:12 32:50 24:40 3:5 14:40
6) An architectural drawing of a building shows the elevation of the basement floor as -12 feet. The elevation of the roof is 32 feet. Someone is standing at an elevation of 15 feet. Is the person closer to the basement or the roof? Explain.
We need to simply find the difference in height to solve this problem. The person standing at an elevation of 15 feet is closer to the basement.
The elevation of the basement is said to be 12 feet and the elevation of the roof is 32 feet. The person is standing at an elevation of 15 feet. Inorder to find whether the person is closer to the basement of the roof we need to find the difference in height of the person from the basement and from the roof. The difference in height between the person and the basement is 15-12=3 feet and the difference between the height of the person and the roof is 32-15=17 feet. Since 3 is less than 17 the person is closer to the basement.
Therefore the person standing at an elevation of 15 feet is closer to the basement.
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Order the numbers from least to greatest. PLEASE HELP
Answer:
22/7, _/32/3, 3.3, _/11
Step-by-step explanation:
PLEASE HELP ASAP!! 30 POINTS FOR ANSWERS!!
Answer:
Step-by-step explanation:
Find LCM and HCF by applying the prime factorization 17,23,29
LCM of 17, 23, 29 = 11339
HCF of 17, 23, 29 = 1
How to find LCM and HCF by prime factorization?
The numbers 17, 23, 29 are prime numbers themselves.
By prime factorization we consider only the prime factors.
LCM of 17, 23, 29 = 17 ×23 ×29 (Since the numbers are prime)
=11339
HCF of 17, 23, 29 = 1 (Since the common factor is 1)
What is prime factorization?
Writing all numbers as the product of primes is a procedure known as prime factorization. It entails determining which prime numbers combine to produce the original number.Exactly two elements, 1 and the number itself, define a prime number. It is the process of dissecting a number into the prime numbers that help the number when multiplied come into existence.To learn more about prime factorization, refer:
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An iPhone costs £825 in London, €950 in Paris and $1,200 in New York.
Using £1 = €1.12 and £1 = $1.43, state the lowest price of the iPhone in £.
Give your answer to 2 dp.
The price of iphone in £ will costs £825 in London, £848.21 in Paris and £839.16 in New York .The lowest value of iphone in London which costs £825.
We had given the following information that An iphone costs £825 in London, €950 in Paris and $1,200 in New York.
We have to find the lowest price of iphone among the given iphone prices
We had to find the lowest price in £ .
Therefore we have to convert all the given prices into £.
For the conversion of prices we had given that £1 = €1.12 and £1 = $1.43.
Now In Paris iphone costs €950. Converting €950 into £ will be as follows
£1 = € 1.12.
∴ £x = € 950.
∴ x = £848.21.
Now In New York iphone costs $1,200. Converting $1,200 into £ will be as follows
£1 = $1.43.
∴ £x = $1,200
∴ x = £839.16.
Now the price of iphone in £ will costs £825 in London, £848.21 in Paris and £839.16 in New York.
Therefore by comparison we get the lowest value of iphone in London which costs £825.
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Find the coordinates of the vertices of the image: rotate pre-image QRST 90° clockwise.
-2,-1
1,-3
3,3
0,2
Answer:
T(2,-1)
Q(3,1)
S(0,-2)
R(3,-3)
Annabelle wanted to find the y value for when x is 0 (y intercept). Here are her steps. Did Annabelle make a mistake? If so, which one? If not, indicate that as well
Answer:
Step-by-step explanation:
Annabelle did not make a mistake. you have to substitute 0 in for x then dived the equation by 2 giving you the answer of 4. She is correct. A rockstar as the answer says. :) hope this helped!
======================================================
Reason:
She wants to find the y value when x = 0. This is why she replaced every copy of x with 0. Step 1 is correct.
Step 2 is also correct because 3 times 0 is 0. She multiplied correctly.
Step 3 is correct because she needs to undo the "2 times" that is applied to y, in order to isolate it. Division is the inverse operation of multiplication.
Step 4 is correct because 8/2 is 4
Every step she did is correct, and so is the final answer.
------------
Here's one way Annabelle could check her work
3x+2y = 8
3*0+2*4 = 8 .... plug in x = 0 and y = 4
0 + 8 = 8
8 = 8
We get the same thing on both sides, which confirms that x = 0 pairs up with y = 4. In other words, (x,y) = (0,4) is a solution to 3x+2y = 8.
The point (0,4) is on the line 3x+2y = 8. This point is the y intercept where the graph crosses the y axis.
utilizand ciurul lui erastone gasiti toate mr prime mai mici decat 100
Answer: 100
Step-by-step explanation:
|5+5-8| how to I solve this and the answer it
The time it takes to read 5 pages of a book can be represented with the equation y equals 4.5 divided by 5 times x, where y represents the total time in minutes and x represents the number of pages read.
Determine how long it will take to read a book that has 218 pages.
Time take to read a book that has 218 pages is 196.2
According to the question, given that
Time takes to read 5 pages of a book can be represented equation y equal to 4.5 divided by 5 times
where y represents the total time in minutes and x represents the number of pages read
Time take to read a book that has 218 pages.
x = [tex]218*\frac{4.5}{5}[/tex]
= [tex]\frac{981}{5}[/tex]
= 196.2
Therefore, we get time 196.2 to read a book that has 218 pages.
Depending on which values you input into the reading time , you can find out:
- How much time per day should you allocate to finish in x days;
- How much time does it take to read this book
- What the total reading time will be (in hours);
- How many pages you'll be able to read in a given time; and
- How fast you should read to finish this book on time.
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Answer:
Time take to read a book that has 218 pages is 196.2
Step-by-step explanation:
Choose all equations that are NOT true.
350x10³=36,000
0.36x100=3,600
360x10¹ =36.0
0000
0.036x1,000=36
36x10¹ = 36
Answer:
They're all false??? Do them on a calculator!
Please help, i cant figure it out.
Answer:
this can be impossible
Step-by-step explanation:
What is the difference 377. 109-58. 2767
Suzanne completed a 1500-piece jigsaw puzzle in 4 hours 10 minutes. What was her average speed in pieces per minute?
ANSWER: 150
EXPLANATION
Based on the given conditions, formulate: 1500 divided 10
Cross out the common factor: 150
get the result: 150
Answer: 150
your welcome
evalate 9x(10-2]divided(+(5x2
The value of the expression, [9(10 - 2)] ÷ [2 + (5 × 2)], found using PEMDAS order of operations is 6
What is an expression in mathematics?A mathematical expression is a mathematical statement which consists of two or more numbers or variables that are linked by mathematical operators.
The possible expression in the question is presented as follows;
[9(10 - 2)] ÷ [2 + (5 × 2)]
The above expression can be evaluated using the order of operations convention, which is a set of rules used in mathematics and computer programming, that indicates the procedure which comes first when evaluating a mathematical expression.
The rules can be memorized using mnemonics like PEMDAS that represents;
P; Parentheses E; ExponentsM; Multiplication D; Division A; Addition S; SubtractionPEMDAS indicates that operations within a parentheses is to be performed first, before exponents, which comes before multiplication, followed by division then addition before subtraction.
The convention aims to remove ambiguity, such that the expression 1 + 2 × 3 = 1 + (2 × 3)
To evaluate the given expression, we therefore have;
[9(10 - 2)] ÷ [2 + (5 × 2)]
Performing operations within the parentheses gives;
[9(10 - 2)] ÷ [2 + (5 × 2)] = [9(8)] ÷ [2 + (10)]
[9(8)] ÷ [2 + (10)] = [9×8] ÷ [2 + 10]
[9×8] ÷ [2 + 10] = 72 ÷ 12
There are no exponents, (E), or further multiplication, (M), outside the parentheses, therefore performing the, division, (D) gives;
[tex]\displaystyle{ 72 \div 12 = \frac{72}{12} =6}[/tex]
The value of the expression is therefore;
[9(10 - 2)] ÷ [2 + (5 × 2)] = 6
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Which expression is equal to (x + 2) (−3x² + 3x + 1)?
-3x³ + 9x² - 5x + 2
-3x² + 5x + 3
-3x²- 3x + 2
-3x^3 - 3x^2 + 7x + 2
Answer:
The right answer choice is the last one
-3x^3 - 3x^2 + 7x + 2
Answer:
The last one is correct
Step-by-step explanation:
multiply -3[tex]x^{2}[/tex] + 3x + 1 by x and the by 2 and then add them together.
x(-3[tex]x^{2}[/tex] + 3x + 1)
-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x
2(-3[tex]x^{2}[/tex] + 3x + 1)
-6[tex]x^{2}[/tex] +6x +2
Add the two bold expressions above to find the answer.
-3[tex]x^{3}[/tex] + 3[tex]x^{2}[/tex] + x -6[tex]x^{2}[/tex] + 6x + 2
-3[tex]x^{3}[/tex] -3[tex]x^{2}[/tex] +7x +2
Which of the following scenarios demonstrates an exponential decoy
(C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.
What is exponential decay?When something's growth declines as a function of an exponential, this is known as exponential decay. If a quantity declines at a rate proportional to its current value, exponential decay may be present. The following differential equation, where N is the quantity and λ is a positive rate known as the exponential decay constant, can be used to represent this process symbolically:dN/dt = -λNSo, only one of the options in this case—the dollar value being affected by constant inflation—seems to exhibit exponential decay.
As a result, the value of a dollar that is subject to constant inflation exhibits exponential decay.Therefore, (C) "A dollar's value is impacted by ongoing inflation" best demonstrates an exponential decay.
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The correct question is given below:
Which of the following scenarios demonstrates an exponential decay?
A. Value of a dollar invested in a savings account
B. Value of a dollar affected by constant deflation
C. Value of a dollar affected by constant inflation
D. None of the above
Find the length of the arc of a circle of radius 5 inches subtended by a central angle of 220 degrees. Round your answer to the nearest hundredth.The length of the arc is Answer inches.
Given:
a circle of radius = r = 5 inches
We will find the length of the arc subtended by a central angle of 220 degrees
We will use the following formula:
[tex]arc\text{ }length=\theta *\frac{\pi}{180}*r[/tex]Substitute with r = 5, and θ = 220
So, the langth of the arc will be as follows:
[tex]220*\frac{\pi}{180}*5=19.19862[/tex]Rounding to the nearest hundredth
So, the answer will be the length of the arc = 19.20 inches
