Vera uploaded a hilarious video of a squirrel to a funny videos website. It was viewed 320320320 times on the first day. Each day since then, the number of views was 25\%25%25, percent more than the day before.
Let f(n)f(n)f, left parenthesis, n, right parenthesis be the number of views Vera's video got on the n^\text{th}n
th
n, start superscript, start text, t, h, end text, end superscript day since she uploaded it.
fff is a sequence. What kind of sequence is it?
Answers
Solution : \(F(n)= (320) 1.25^{n-1}\)
In Maths, Geometric Progression (GP) is a type of sequence where each succeeding term is produced by multiplying each preceding term by a fixed number, which is called a common ratio. This progression is also known as a geometric sequence of numbers that follow a pattern. Also, learn arithmetic progression here. The common ratio multiplied here to each term to get a next term is a non-zero number. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.
A geometric progression or a geometric sequence is the sequence, in which each term is varied by another by a common ratio. The next term of the sequence is produced when we multiply a constant (which is non-zero) by the preceding term. It is represented by:
a, ar, ar2, ar3, ar4, and so on.
Where a is the first term and r is the common ratio.
Note: It is to be noted that when we divide any succeeding term from its preceding term, then we get the value equal to the common ratio.
Suppose we divide the 3rd term by the 2nd term we get:
ar2/ar = r
In the same way:
ar3/ar2 = r
ar4/ar3 = r
General Form of Geometric Progression
The general form of Geometric Progression is:
a, ar, ar2, ar3, ar4,…, arn-1
Where,
a = First term
r = common ratio
ar^(n-1) = nth term
On the first day, the video was viewed = 320 times.
the number of views was 25% more than the day before which means increasing 1.25 per day.
G.P.
Where common ratio r = 1.25
First term = f(1) = 320
The formula of nth term in G.P. =
\(F(n)= f(1) r^{n-1}\)
So, nth term of the given situation :
\(F(n)= (320) 1.25^{n-1}\)
Where f(n) denotes the number of views on an nth day.
\(F(n)= (320) 1.25^{n-1}\)
So, the number of views Vera's video got on an nth day =
\(F(n)= (320) 1.25^{n-1}\)
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Related Questions
Harriet used the work below to determine the percent equivalent to One-eighth.
Step 1: One-eighth = StartFraction question mark Over 100 EndFraction
Step 2: 8 divided by 100 = 0.08
Step 3: 0.08 times 1 = 0.08
Step 4: 0.08 percent
What was Harriet’s error?
In Step 1, she set up the proportions incorrectly.
In Step 2, she divided 8 by 100 instead of 100 by 8, so she cannot multiply the numerator by the factor.
In Step 3, she multiplied the numerator instead of the denominator by the factor.
In Step 4, she forgot to move the decimal.
Answers
Answer:
B
Step-by-step explanation:
Answer: B
Step-by-step explanation: It's B
Can you please find and solve the unknown variable.
Answers
The value of x is; x = 3.14
Here, we have,
from the given diagram, we get,
there is a right angle triangle.
we have to find the value of x.
we know that,
Let the angle be θ , such that
cos θ = base / hypotenuse
here, we get,
cos 17 = 3/x
so, we have,
0.956 = 3/x
so, x = 3.14
Hence, The value of x is;x = 3.14
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Which values of a and b make the following equation true?
(5x?y?)(-4x*ys) –-20x©yo
O a = 11, b= 7
O a = 11, b= 10
O a = 28, b= 7
O a = 28, b = 10
Answers
Complete Question is;
Which values of a and b make the following equation true (5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
Answer:
Option A - a = 11 and b = 7
Step-by-step explanation:
We are given the equation as;
(5x^7 • y²) * (-4x⁴ • y^5) = -20x^a • y^b
In algebra, we know that, zⁿ × z² = z^(n + 2).
Thus, collecting like terms in powers on left hand side, we have;
-20(x^(7 + 4)) × (y^(2 + 5)) = -20x^a • y^b
-20(x^(11))•(y^(7)) = -20x^a • y^b
Comparing the left and right hand side, we have;
a = 11 and b = 7
Answer:
A
Step-by-step explanation:
Edge Laws of Exponents quiz :)
A line passes through the points (2, -2) and (8, 1).
Click “show your work” and provide work for calculating the slope and y-intercept. Then, write the equation for the line in slope-intercept form. Please write your answers on the lines provided on the whiteboard.
Answers
Answer:
Slope: 1/2Y-intercept: -3Equation: y = 1/2x -3Step-by-step explanation:
You want the slope, y-intercept, and equation for a line that passes through the points (2, -2) and (8, 1).
SlopeThe slope formula is used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (1 -(-2))/(8 -2) = 3/6 = 1/2
Y-interceptThe slope-intercept equation can be rearranged to give the y-intercept:
b = y - mx
b = 1 -(1/2)(8) = 1 -4 = -3 . . . . . . using (x, y) = (8, 1)
Slope-Intercept FormThe slope-intercept form equation is ...
y = mx +b . . . . . . where m is the slope, and b is the y-intercept
Using the found values, the equation is ...
y = 1/2x -3
SummarySlope: 1/2Y-intercept: -3Equation: y = 1/2x -3
En una plaza Lucio camina en tramos rectos, a partir del asta bandera, en un punto cambia la dirección girando 150º a su izquierda, avanza 64 metros y se detiene. Para regresar al asta tiene que girar 75º a la izquierda, ¿A qué distancia se encuentra del punto inicial?
Answers
Lucio is 64 meters from the starting point.
How to solveThe square has four sides of equal length, so Lucio has walked half the length of one side.
To return to the starting point, he needs to walk the other half of the side, which is 64 meters.
The angle Lucio turns is irrelevant, as long as he turns 180 degrees in total.
With this in mind, it can be seen that based on the parameters and the conditions, Lucio is 64 meters from the starting point because the angle to which he turns is irrelevant.
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The question in English:
In a square Lucio walks in straight sections, starting from the flagpole, at one point he changes direction turning 150º to his left, advances 64 meters and stops. To return to the pole you have to turn 75º to the left. How far are you from the starting point?
sequence three missing terms to comple 7444> →→19-
Answers
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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In an effort to cut costs and improve profits, any US companies have been turning to outsourcing. In fact, according to Purchasing magazine, 54% of companies surveyed outsourced some part of their manufacturing process in the past two to three years. Suppose 555 of these companies are contacted.
A. What is the probability percentage that 338 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal places.
B. What is the probability percentage that 285 or more companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to two decimal place.
C. What is the probability percentage that 48% or less of these companies outsourced some part of their manufacturing process in the past two or three years? Round the percent to tywo decimal places.
Answers
Answer:
Following are the solution to this question:
Step-by-step explanation:
Given:
\(\ Mean = 0.54 \times 555 \\\)
\(= 299.7\)
\(SD = 11.74\)
In point a:
\(\to Z = \frac{(338 - 299.7)}{11.74}\)
\(= \frac{(38.3)}{11.74}\\\\= 3.26\)
\(\to P = 0.000557\\\\\to \% = 0.06 \%\)
In point b:
\(\to Z = \frac{(285 - 299.7)}{11.74}\)
\(= \frac{(-14.7)}{11.74}\\\\= -1.25\\\)
\(\to P = 0.8944\\\\\to \% = 89.44 \%\)
In point c:
\(\to 48\% \times 555 = 266.4\\\\\to Z = \frac{(266.4 - 299.7)}{11.74}\\\\\)
\(= \frac{(-33.3)}{11.74}\\\\= -2.83\)
\(\to P = 0.002256\\\\\to \% = 0.23 \%\)
What if you had two types of grape drink, one with 5% real fruit juice and another with 10% real fruit juice? Suppose you wanted a gallon of grape drink with 6% real fruit juice. How much of the 5% drink and how much of the 10% drink should you mix together to produce it?
Answers
Answer: 10.20(20−n)+6.8nNow solve for n:204−10.20n+6.8n204−3.4n−3.4nn=170=0170Distributive Property=170Add like terms.=−34 Subtract 204.=10 Divide by −3.4.
Since n=10, we can plug that into m+n=20.
m+10=20⇒m=10.
The coffee company needs to use 10 pounds of each type of coffee in order to have a 20 pound mixture that costs $8.50 per pound.
Step-by-step explanation: this might be wrote 3 times
if the dilation of K(-2,4) equals K'(1,-2), the scale factor used for the dilation is
Answers
Answer:
-1/2
Step-by-step explanation:
We know
The dilation of K(-2,4) equals K'(1,-2)
To get from -2 to 1, we time -1/2
To get from 4 to -2, we time -1/2
So, the scale factor used for the dilation is -1/2
the length of the rectangular field is 7 times of its breadth its area is 1792 square metres find the cost of fencing it at the rate of rupees 1.5 per metre
Answers
Answer:
Step-by-step explanation:
first you would need to find the perimeter in order to find the cost of fencing.
x(7x)=1792
7x^2=1792
x^2=256
x=16
so you have x which is the width. now time to find the length
16 times 7 is 112
112 is your width
112+112+16+16 is 256, which is your perimeter.
256 times 1.5 is your cost, or 384 rupees
consider the graph
6
4
2
What is the midline? urte as an equation)
What is the period of the function?
What is the amplitude of the function?
What is the equation of the function? f(x)=
Help please
Answers
Answer:
\(\displaystyle \boxed{y = -3} \\ \boxed{\pi} \\ \boxed{N/A} \\ f(x) = \boxed{-2cot\:(x + \frac{\pi}{2}) - 3}\)
Step-by-step explanation:
\(\displaystyle f(x) = Acot(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A\)
OR
\(\displaystyle f(x) = \boxed{2tan\:x - 3} \\ \\ f(x) = Atan(Bx - C) + D \\ \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{B} \\ Amplitude \hookrightarrow |A| \\ \\ \\ Vertical\:Shift \hookrightarrow -3 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{\pi}{2} \\ Amplitude \hookrightarrow N/A\)
Here is all the information you will need. Now, what you need to know is that ALL tangent, secant, cosecant, and cotangent functions have NO amplitudes. Also, keep in mind that although this IS a tangent graph, if you plan on writing your equation as a function of cotangent, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of \(\displaystyle f(x) = 2cot\:x - 3,\)in which you need to replase "tangent" with "cotangent", then figure the appropriate C-term out that will make the graph horisontally shift and map onto the tangent graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two graphs, we can tell that the cotangent graph [photograph on the right] is shifted \(\displaystyle \frac{\pi}{2}\:unit\)to the right, which means that in order to match the tangent graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle \frac{\pi}{2}\:unit,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1},\)but we are NOT YET DONE. Although we shifted the graph back into position, remember, cotangent is graphed in REVERCE, so we need to insert a negative in front of the amplitude term, and with that, the cotangent graph of the tangent graph, accourding to the horisontal shift, is \(\displaystyle f(x) = -2cot\:(x + \frac{\pi}{2}) - 3.\)Now, with all that being said, we can move forward. To find the period in this case, you need to take a look at the distanse between each vertical asymptote. Now, accourding to this graph, the vertical asymptotes are at \(\displaystyle -\frac{\pi}{2} = x\:and\:\frac{\pi}{2} = x.\)From here, you will then find the distanse between these asymptotes by simply perfourming the operation of Deduction, and doing that will give you \(\displaystyle \boxed{\pi} = \frac{\pi}{2} + \frac{\pi}{2}.\)So, the period of this function is \(\displaystyle \pi.\)Now, you will instantly get the jist of the horisontal shift by looking at the above formula. Just keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must pay cloce attention to what is given to you inside those parentheses. Finally, the midline is the centre of your graph, also known as the vertical shift, which in this case is at \(\displaystyle y = -3.\)
Well, that just about wraps it up. Now that everything has been explained, you should understand it better. If you still have questions, do not hesitate to comment any you have.
I am delighted to assist you at any time.
the unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears
Answers
The unit rate for Option A is $4.4 per pound of gummy bears.
The unit rate for each option is a mathematical expression that compares two quantities of different measures by dividing one quantity by the other.
The unit rate is used to determine how much an item costs per unit of measure.
To find the unit rate for each option, we can use the following formula: Unit rate = price ÷ weight Option A: $15.40 for 3.5 lbs of gummy bears Unit rate = 15.40 ÷ 3.5Unit rate = $4.4 per pound of gummy bears.
Therefore, the unit rate for Option A is $4.4 per pound of gummy bears.
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Here is the complete question given below:
The unit rate for each option. 9. Option A: $15.40 for 3.5 lbs of gummy bears. $7.65 for 1.8 Ibs of gummy bears.
Manuel earned a grade of 80%. He got 16 correct. How many problems were on the test? plz solve quick
Answers
Answer:
20
Step-by-step explanation
My computer can download a movie in 5 hours. If I install an extra processor it can download the movie in 4 hours. How long, working alone, would it have taken the new extra processor to download the movie?
Pls try to help within 10-20 min I really need it!!!!!!
Answers
=======================================================
Explanation:
We have two workers, more or less. Worker A gets the job done in 5 hours. Worker B comes along to help. If A and B work together, they get the job done in 4 hours. This assumes neither worker hinders the other.
Worker A's rate is 1/5 of a job per hour. In other words, after 1 hour, 1/5 of the job is done.
The combined rate is 1/4 for similar reasoning
Worker B's rate is 1/x where x represents how long it takes worker B to get the job done on its own.
The equation to solve is
1/5 + 1/x = 1/4
Note how 1/5 and 1/x represents the sum of the individual rates to get the combined rate 1/4
To solve this equation, it helps to clear out the fractions. Multiply every term by the LCD 20x
20x(1/5 + 1/x) = 20x(1/4)
20x(1/5) + 20x(1/x) = 20x(1/4)
4x + 20 = 5x
From here you can probably see solving this is relatively easy
4x+20 = 5x
20 = 5x-4x
20 = x
x = 20
Therefore, it will take 20 hours for worker B to get the job done on its own.
Going back to the processing context, it takes 20 hours for the new processor to download the movie. This is where the new processor is working alone without help from the original processor.
----------------
Side note: downloading a movie really depends on internet speed rather than processor speed.
Send answers for the question please and thanks.
Answers
Answer:
7⁻²=\(\frac{1}{49}\)
3⁻⁴ \(=\frac{1}{81}\)
9⁰=1
11⁻¹=\(\frac{1}{11}\)
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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Need help ASAP please!!!
Answers
Answer:
Step-by-step explanation:
1/2x^2
thats becuase that is the red parabola's equation. I don't know how to explain but I know the answer.
What values of b satisfy 3(2b + 3)² = 36?
Answers
Answer:
The values of b that satisfy the equation are:
b = (2√3 - 3) / 2
b = (-2√3 - 3) / 2
In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.
Step-by-step explanation:
To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:
1. Divide both sides of the equation by 3:
(2b + 3)² = 12
2. Take the square root of both sides:
√[(2b + 3)²] = √12
Simplifying further:
2b + 3 = ±√12
3. Subtract 3 from both sides:
2b = ±√12 - 3
4. Divide both sides by 2:
b = (±√12 - 3) / 2
Simplifying further:
b = (±√4 * √3 - 3) / 2
b = (±2√3 - 3) / 2
Therefore, the values of b that satisfy the equation are:
b = (2√3 - 3) / 2
b = (-2√3 - 3) / 2
In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.
An experiment consists of three steps. There are four possible results on the first step, three possible results on the second step, and two possible results on the third step. The total number of experimental outcomes is
Answers
Answer:
24 steps
Step-by-step explanation:
Given
\(Step\ 1 = 4\)
\(Step\ 2 = 3\)
\(Step\ 3 = 2\)
Required
The total number of experimental outcomes (n)
This calculated by multiplying the results in each step.
\(n = Step\ 1 * Step\ 2 * Step\ 3\)
\(n = 4*3*2\)
\(n = 24\)
How did growers in the South attempt to rebuild their cotton market?
Produced more cotton
Raised the price of cotton
Hired more laborers
Sold their land
Answers
A professor gives his students 9 essay questions to prepare for an exam. Only 2 of the questions will actually appear on the exam. How many different exams are possible?
Answers
Answer:
There are 36 possible exams.
Step-by-step explanation:
How many ways can you select 2 questions out of 9? 9 choose 2.
\(\frac{9!}{2!7!}\)= 36
What is the perimeter of a yard with length = 4 x + 6 2 x + 1 feet and width = x − 3 2 x + 1 feet? 4 x − 3 4 x + 12 feet 4 x − 3 2 x + 6 feet 8 x − 6 4 x + 12 feet 8 x − 6 2 x + 6 feet
Answers
The perimeter of the given yard is P = 10x + 6
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l + w)
where
l is the length
w is the width
Given the following parameters
length = 4x+6
width = x-3
Substitute
P = 2(4x+6+x-3)
P = 2(5x + 3)
P = 10x + 6
Hence the perimeter of the given yard is P = 10x + 6
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Please help! which of the following
would fall under the category of investment for the GDP? image attached!
Answers
The option that would fall under the category of investment for the GDP is option D, Stock market.
What is investment ?
Investment refers to the purchase of goods that are not consumed today but are used in the future to create wealth. In economics, investment generally means spending money on capital goods such as machinery, equipment, buildings, or technology, with the expectation of generating income or profit in the future.
Investment can take many forms, including physical assets like property and equipment, financial assets such as stocks and bonds, and human capital, such as education and training. The purpose of investment is to increase the productive capacity of an economy, create jobs, and generate wealth over time.
Investment is one of the key components of economic growth, as it contributes to the creation of new businesses, the expansion of existing ones, and the development of new products and services. It is also an important source of income for individuals and organizations, as it can provide returns in the form of interest, dividends, or capital gains.
Investment, as one of the components of GDP, refers to the creation of new physical or financial assets that are intended to increase the productive capacity of the economy. Stock market investment is a financial asset that contributes to the economy's productive capacity by providing businesses with the capital they need to expand and create jobs.
Option A refers to exports, which fall under the category of net exports in the GDP calculation. Option B and C refer to financial difficulties and do not contribute to the economy's productive capacity, so they are not included in the GDP calculation.
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help!!!
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used.
Determine each segment length in right triangle ABC
Answers
According to the figure the required lengths are
BD = 7 units
BC = 9.9 units
How to find the required lengthsThe required lengths is solved knowing that in a right triangle having angle 45 degrees, the lengths of the legs of the right triangle are equal.
Also, the perpendicular bisector creates another angle 45 degrees at angle B.
hence we another right triangle with a leg as 7 units hence BD is 7 units
solving for BC
BC = BA
BC² + BA² = CA²
BC² + BC² = 14²
2 x BC² = 196
BC² = 98
BC = √(98)
BC = 9.9 units
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HELP! SAS SSA ASA need in right places please
Answers
1-SSS
2-ASA
3-None
Geometry question> Help ASAP
Answers
Answer:
E)
Step-by-step explanation:
It cannot be decided from the information given as we have only been given the side lengths of each of the squares. We have not been told at what point along each side length the other square intersects, nor have we been told the angle at which the squares intersect each other. We would need this information to be able to calculate the specified area.
Diagram is note done perfect according to question .
Use the shortcut trick mentioned below while these cases come .
Area left(Black part)=Area of biggest square- area of rest squares drawn
Now
Area left:-
\(\\ \rm\rightarrowtail 7^2-(5^2+3^2)\)
\(\\ \rm\rightarrowtail 7^2-(25+9)\)
\(\\ \rm\rightarrowtail 49-34\)
\(\\ \rm\rightarrowtail 15cm^2\)
Option DScores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 15. Use the empirical rule to determine the following
A. What percentage of people has an IQ score between 85 and 115
B. What percentage of people has an IQ score less than 70 or greater than 130
C. What percentage of people has an IQ score greater than 130
Answers
The empirical rule, also known as the 68-95-99.7 rule, states that for a bell-shaped distribution, approximately:
68% of the data falls within one standard deviation of the mean
95% of the data falls within two standard deviations of the mean
99.7% of the data falls within three standard deviations of the mean
Using this rule, we can answer the following questions:
A. What percentage of people have an IQ score between 85 and 115?
To find the percentage of people with an IQ score between 85 and 115, we need to find how many standard deviations away from the mean these scores are:
An IQ score of 85 is (85 - 100) / 15 = -1 standard deviation below the mean.
An IQ score of 115 is (115 - 100) / 15 = +1 standard deviation above the mean.
Therefore, the percentage of people with an IQ score between 85 and 115 is approximately the percentage of data that falls within one standard deviation of the mean, which is 68%.
B. What percentage of people have an IQ score less than 70 or greater than 130?
To find the percentage of people with an IQ score less than 70 or greater than 130, we need to find how many standard deviations away from the mean these scores are:
An IQ score of 70 is (70 - 100) / 15 = -2 standard deviations below the mean.
An IQ score of 130 is (130 - 100) / 15 = +2 standard deviations above the mean.
Therefore, the percentage of people with an IQ score less than 70 or greater than 130 is approximately the percentage of data that falls outside of two standard deviations from the mean, which is 5% + 5% = 10%.
C. What percentage of people have an IQ score greater than 130?
To find the percentage of people with an IQ score greater than 130, we need to find how many standard deviations away from the mean this score is:
An IQ score of 130 is (130 - 100) / 15 = +2 standard deviations above the mean.
Therefore, the percentage of people with an IQ score greater than 130 is approximately the percentage of data that falls outside of two standard deviations from the mean, which is 5%. However, this only gives us the percentage of people with an IQ score greater than 130 but less than infinity. To get the percentage of people with an IQ score greater than 130, we need to subtract the percentage of people with an IQ score less than or equal to 130, which is 50% + 34% + 5% = 89%. Therefore, the percentage of people with an IQ score greater than 130 is approximately 11%.
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Answer:
I cannot see the last choice, but the ones that I can see are all correct.
Step-by-step explanation:
8y + 15x + 3y - 12x - 3x
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Answer:
11y is the exact value.
Step-by-step explanation:
a) You have a piece of string that is 36m long. find the areas of all the shapes you can make which have a perimeter of 36m. b) A piece of land has an area of 100m². How many meters of wire fencing is needed to enclose it?
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a. The areas of the square is 81m² and for rectangle is 72m²
b. The perimeter of the square is 40m
What are the areas of all the shapes you can make which have a perimeter of 36m?a. To determine the area of the shapes in which we have that have a perimeter of 36m, we can consider rectangle and square.
For a square;
Perimeter of square = 4L
36 = 4L
L = 9m
The area of the square will be L² = 9² = 81m²
For a rectangle;
The perimeter of rectangle is;
P = 2(L + W)
We can assume that two numbers which will represent the length and width are;
L = 12m, W = 6m or L = 6m, W = 12m
A = 12 * 6 = 72m²
b.
The area of the wire is 100m², the perimeter for this can be calculated when we consider square and rectangle;
Perimeter of square = 4L
Area of square = L² = 100m²
L = 10m
The perimeter of the wire is 4(10) = 40m
Learn more on perimeter and area of rectangle and square here;
https://brainly.com/question/25292087
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