The height of the Mendocino tree in scientific notation is 1.12 x 10⁴ centimeters.
What is Scientific notation:Scientific notation is a way of expressing numbers as a coefficient multiplied by a power of 10.
The coefficient is a number greater than or equal to 1 and less than 10, and an exponent is a whole number, which indicates the number of places the decimal point has been moved to the left or right to create the coefficient.
Here we have
The Hight of the Mendocino tree is about 11,200 centimeters.
To express the height of the Mendocino tree in scientific notation,
Convert 11,200 to a number between 1 and 10, and multiply it by a power of 10 without changing its units.
For this, move the decimal point in 11,200 to the left until we have a number between 1 and 10 that is upto 1
Here the point will be moved to the left to get 1.12.
Now multiply this number by 10 raised to the power of the number of places we moved the decimal point, which is 4.
Therefore,
The height of the Mendocino tree in scientific notation is 1.12 x 10⁴ centimeters.
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The following data give the estimated prices of a 6-ounce can or a 7.06-ounce pouch of water-packed tuna for 14 different brands, based on prices paid nationally in supermarkets. 1.04 1.95 1.23 0.83 0.70 0.48 1.45 1.14 0.58 0.64 0.69 0.63 0.62 0.67 Find the range. Find the sample variance. (Round your answer to four decimal places.) Find the sample standard deviation. (Round your answer to three decimal places.)
For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.
To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.
To find the sample variance, follow these steps.
1. Calculate the mean of the data set.
2. Subtract the mean from each value in the data set.
3. Take the summation of the squares of the result.
4. Divide the sample size minus 1.
Upon calculation, the sample variance is 0.1716.
Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.
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hi can you guys help me with this :)
Answer:
1/2 + 1/4 would be 3/4.
1/2 + 1/6 would be 2/3.
Step-by-step explanation:
Answer:
No 2 :8
Sorry if wrong........
Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
it's one of these...
4.55%
8.33%
Answer:
4.55
Step-by-step explanation:
AEight different books were put on a shelf in random order. Calculate probability that two specific books were put near each other.
My answer: Let's divide the space on the shelf into eight slots. Let's also name our two books, "A" and "B" respectively. We have two sets of combinations - in the first set of combinations we have AB (i.e. A goes first). For example, A is put into the first slot and B is put into the second slot. Next example, A is put into the second slot and B is put into the third slot. And so on. There are 7 such AB combinations in total. By the same logic there are also 7 BA combinations. Obviously there is no overlap between said combinations, thus we can sum them up and get 14 combinations in total where books A and B are put side by side.
As for number of total combinations of books on the bookshelf, it's equal to "n!", where n is equal to 8. Why? Because in order to calculate combinations when repetitions are forbidden and order is important we use this formula:
For example, for a circle of diameter 4 cm, the circumference is approximately
cm.
Answer:
the diameter is 4 cm which means the radius is 2 cm. Diameter divided by two will give you the radius. The formulae for circumference is 2 π⋅r. So the circumference would be 4 π.
Step-by-step explanation:
Louis and Ricardo took a timed a reading test, and the results below show the number of words each student can read per minute which student reads at a faster rate ?
Answer:
Louis reads faster
Step-by-step explanation:
See attachment for complete question.
The table represents Louis data while the graph represents Ricardo's data.
To solve this question, we simply calculate the slope of the table/graph,
The slope (m) is calculated by:
\(m=\frac{y_2 - y_1}{x_2 - x_1}\)
For Louis:
From the table, we pick any corresponding x and y values
\((x_1,y_1) = (2,436)\)
\((x_2,y_2) = (6,1308)\)
\(m_1 = \frac{1308 - 436}{6-2}\)
\(m_1 = \frac{872}{4}\)
\(m_1 = 218\)
For Ricardo:
From the graph, we pick any corresponding x and y values
\((x_1,y_1) = (2,300)\)
\((x_2,y_2) = (6,900)\)
\(m_2 = \frac{900- 300}{6-2}\)
\(m_2 = \frac{600}{4}\)
\(m_2 = 150\)
So, we have:
Louis: \(m_1 = 218\)
Which means 218 words per minutes
Ricardo: \(m_2 = 150\)
Which means 150 words per minutes
use an appropriate taylor series to find the first four nonzero terms of an infinite series that is equal to ln(5/3).
The appropriate Taylor series for an infinite series with the first four nonzero terms equal to ln(5/3) is 0/1!, 0/2!, 0/3!, and 0/4! .......
What is taylor series?An infinite sum of words that are expressed in terms of a function's derivatives at a single point is known as the Taylor series or Taylor expansion of a function in mathematics. Near this point, the function and the sum of its Taylor series are equivalent for the majority of common functions. The polynomial or function of an infinite sum of terms is the Taylor series. The exponent or degree of each succeeding term will be greater than the exponent or degree of the one before it.
The formula is:
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
Here,
∑n=0 to ∞(fⁿ(a)(x-a)ⁿ)/n!
at n=1,
=0/1!
at n=2,
=0/2!
at n=3,
=0/3!
at n=4,
=0/4!
Appropriate taylor series for first four nonzero terms of an infinite series that is equal to ln(5/3) is 0/1!, 0/2!, 0/3!, 0/4!.......
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Quadrilateral ABCD has coordinates A (3, 5), B (5, 2), C (8, 4), D (6, 7). Quadrilateral ABCD is a (4 points)
Answer:
Since all four sides are equal in length, quadrilateral ABCD is a rhombus
Step-by-step explanation:
Find the perimeter of the figure.
O528.75 ft
O264.375 ft
O 41.25 ft
O 82.5 ft
Answer:
the answer for your question is 82.5 ft
Step-by-step explanation:
Using translation concepts, we have that the graph of f(x):Was shifted 9 units to the right and 3 units down ... O528.75 ft O264.375 ft O 41.25 ft O 82.5 ft.
The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده
The value of x in the triangular pyramid is 8 units.
How to find the height of a pyramid?The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.
volume of the pyramid = 1 / 3 ×base area × height
Therefore,
base area = 1 / 2 bh
base area = 1 / 2 × 12 × x
base area = 6x
Therefore,
volume of the pyramid = 1 / 3 × 6x × 15
240 = 30x
divide both sides by 30
x = 240 / 30
x = 8 units
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7
Perez Company is considering an investment of $29,480 that provides net cash flows of $8,900 annually for four years.
(a) What is the internal rate of return of this investment? (PV of $1, FV of $1, PVA of $1, and FVA of $1) (Use appropriate factor(s) from
the tables provided. Round your present value factor to 4 decimals.)
(b) The hurdle rate is 7%. Should the company invest in this project on the basis of internal rate of return?
Complete this question by entering your answers in the tabs below.
Book
Required A
Required B
Hint
What is the internal rate of return of this investment?
Present value factor
Internal rate of return
%
Esk
< Retired A
Required B
Print
erences
The internal rate of return of this investment is 8%.
If the hurdle rate is 7%, the investment should be invested in.
What is internal rate of return?Internal rate of return is a capital budgeting method that determines the the discount rate that equates the after-tax cash flows from an investment to the amount invested
If the internal rate of return is greater than the hurdle rate, the investment should be undertaken. If this is not the case, the investment should not be invested in.
IRR can be calculated with a financial calculator
Cash flow in year 0 = $-29,480
Cash flow each year from year 1 to 4 = 8900
IRR = 8%
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please the answer fast i need it very importent
The length of line having mid point B ⇒ 7x - 2.
Given that,
B is the mid point of AC
And also given that
length of segment AB = 2x+5
And length of segment BC = 5x - 7
A straight path established by linking a group of points in a plane is known as a line. It is a one-dimensional form with only a length and no width or height. A line can extend indefinitely in both ends in opposite directions. To indicate a line, we can use upper case characters.
Now since B is the mid point of AC,
So, The line AC is sum of the line segment AB and line segment BC.
Therefore,
AC = AB+BC
= (2x+5)+(5x - 7)
= 7x - 2
Hence,
The length of AC is 7x - 2
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Tom and his sister both decided to get part-time jobs afterschool at competing clothing stores. Tom makes $15 an hour and recieves $3 in
commission for every item he sells. His sister makes $7 an hour and recieves $5 in commission for every item she sells. How many items
would each of them have to sell to make the same amount of money in an hour?
Answer:
Each of them would sell four items.
Step-by-step explanation:
Tom - 15+3+3+3+3= $27
His sister - 7+5+5+5+5= $27
What is the answer of the chart (picture) please help
Answer:
DARK Blue! 0.4!
Step-by-step explanation:
Suppose five officials O1, O2, O3 , O4 , O5 are to be assigned five different city
cars: an Escort, a Lexus, a Nissan, a Taurus, and a Volvo. O1 will not drive an
Escort or a Nissan; O 2 will not drive a Taurus; O3 will not drive a Lexus or a
Volvo; O 4 will not drive a Lexus; and O5 will not drive an Escort or a Nissan. If
a feasible assignment of cars is chosen randomly, what is the probability that
(a) O1 gets the Volvo?
(b) O2 or O5 get the Volvo? (Hint: Model this constraint with an altered board.)
(a) The probability that O1 gets the Volvo is 3/10 .
(b) The probability that O2 or O5 will get the Volvo is 1/2 .
In the question ,
it is given that ,
the five officials : O1, O2, O3 , O4 , O5 are to be assigned five different city cars: a Escort, Lexus, Nissan, the Taurus, and the Volvo .
From the given data , the table formed is shown below .
From the table , we can observe that ,
O1 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities
O2 will not drive the Taurus . So, he has chance of getting one car among Escort , Nissan ,Lexus, & Volvo = 4 possibilities
O3 will not drive the Lexus or Volvo . So, he has chance of getting one car among Escort , Nissan ,Taurus = 3 possibilities
O4 will not drive the Lexus so he has chance of getting one car among Escort , Nissan ,Taurus, Volvo = 4 possibilities
O5 will not drive the Escort or a Nissan . So, he has chance of getting one car among Lexus, Taurus & Volvo = 3 possibilities .
The 20 possible arrangements for E,L,N,T,V are :
{ (O2, O1, O3, O4, O5), (O2, O1, O3, O5, O4), (O2, O1, O4, O3, O5),
(O2, O5, O3, O1, O4), (O2, O5, O3, O4, O1),(O2, O5, O4, O3, O1),
(O3, O1, O2, O4, O5), (O3, O1, O2, O5, O4), (O3, O1, O4, O5, O2),
(O3, O2, O4, O1, O5), (O3, O2, O4, O5, O1), (O3, O5, O2, O1, O4),
(O3, O5, O2, O4, O1), (O3, O5, O4, O1, O2), (O4, O1, O2, O3, O5),
(O4, O1, O3, O5, O2), (O4, O2, O3, O1, O5), (O4, O2, O3, O5, O1),
(O4, O5, O2, O3, O1), (O4, O5, O3, O1, O2) }
Part(a) : The probability that O1 gets the Volvo is = 6/20 = 3/10 .
and
Part(b) :
Probability of O2 or O5 gets the Volvo = (Probability of O2 getting Volvo
) + (Probability of O5 getting Volvo) .
= 4/20 + 6/20
= 10/20 = 1/2 .
Therefore , the required probability for (a) is 3/10 and for (b) is 1/2 .
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A study was conducted on the educational level of patients with AIDS, it was asume that
with ten years of education will be in group A, between 10 and 20 group B and between 20
group C. After the analysis it was realized that group A had 100 persons while group B and C had 30 persons
(a) If you decide to select based on proportion of 10% from each group how many patien
selected from each group. Show your calculation.
(b) What name can be given to the classified groups?
(c) What method of sampling was employed in the selection process?
1. State and explain the three major data collection techniques.
What is a variable?
What is a Parameter?
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.
(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.
(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.
The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.
The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.
A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.
Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.
A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.
Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.
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need help ill be appercaited.
Step-by-step explanation:
mark me brainlist!! hope this helps
Find r, if 6r7 = 511 8
Answer:
121.857
Step-by-step explanation:
6×7r = 5118
42r = 5118
r = 121.857
Answer:
121.8571428571429
Step-by-step explanation:
r= 5118/42
find mean:
Book Sales Per Day
23
23
24
19
12
*36
18
16
10
23
24
0
13
11
12
15
17
16
27
23+23+24+19+12+36+18+16+10+23+24+0+13+11+12+15+17+16+27=339
339/19 = approx. 18.
mean is about 18.
The ordered pair (2, 10) is a point on a direct variation equation. Write the direct variation equation.
Answer:
Y=KX so its 10=K2
Step-by-step explanation:
Plug in the Number OR K=y/x
A rectangular piece of paper is 44 cm long and 20 cm wide. A cylinder is forms by rolling the paper along its length. Find its volume
ASAP ⠀⠀⠀⠀⠀⠀⠀
Answer:
3081.24 cm³ (nearest hundredth)
Step-by-step explanation:
Formulas
\(\textsf{Circumference of a circle}=\sf 2 \pi r\quad\textsf{(where r is the radius)}\)
\(\textsf{Volume of a cylinder}=\sf \pi r^2 h \quad\textsf{(where r is the radius and h is the height)}\)
If a rectangular piece of paper is rolled along its length to form a cylinder:
circumference = 44 cmheight = 20 cmTo calculate the volume of the formed cylinder, determine the radius by using the circumference formula:
\(\implies \sf 2 \pi r = 44\)
\(\implies \sf r = \dfrac{44}{2 \pi}\)
\(\implies \sf r =\dfrac{22}{\pi}\)
Substitute the round radius into the formula for Volume and solve for V:
\(\implies \sf V=\pi \left(\dfrac{22}{\pi}\right)^2(20)\)
\(\implies \sf V=\pi \left(\dfrac{484}{\pi^2}\right)(20)\)
\(\implies \sf V=\left(\dfrac{484}{\pi}\right)(20)\)
\(\implies \sf V=\dfrac{9680}{\pi}\)
\(\implies \sf V=3081.239698...cm^3\)
Therefore, the volume of the cylinder is 3081.24 cm³ (nearest hundredth).
Q7 PLEASE HELP ME !!!!!!!!!!!!!!!!!!!
The outcomes that are contained in the events are
X = 3 and 10 ⇒ P(X) = 1/5Not X =1, 2, 4, 5, 6, 7, 8 ⇒ P(Not X) = 4/51 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)
The outcomes contained in the eventsFrom the question, we have the following parameters that can be used in our computation:
X = gray colours
Given that
gray colours = 3 and 10
We have
X = 3 and 10
Not X =1, 2, 4, 5, 6, 7, 8
The probability is then calculated as
P(X) = 2/10 = 1/5
For P(Not X), we have
P(Not X) = 1 - 1/5 = 4/5
The equation of P(Not X)In (a), we have
P(Not X) = 1 - 1/5 = 4/5
This means that
P(Not X) = 1 - P(X)
So, the solution is
1 - P(X) = 4/5
The equivalent expressionUsing the above (a) and (b) as a guide, we have the following:
1 - P(X) is the same as P(Not X)
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When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
A survey was conducted to find the possible relationship between age groups and the most favored of three book genres. The data is represented in the frequency table.
Answer: 176
Step-by-step explanation:
Match each strength of association with the correct scatter plot.
1. Weak. 2. Moderate. 3. Strong
Answer:
Step-by-step explanation:
The closer together the points are to a line that can be drawn, the stronger the association.
1. weak is B, the points are all over the place and a clear line can't even be drawn
2. moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line
3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.
Calculate the dimensions of a square with each of these areas. Show work
a) 900cm2
Answer:
30cm
Step-by-step explanation:
root 900 = 30
Use this pattern when a binomial
can be written as the square of
one number minus the square of
another number.
4x² - 49 = (2x-7)(2x + 7)
a² + 2ab + b² = (a + b)²
The square of a binomial, when the binomials are subtracted, is defined as follows:
(a - b)² = a² - 2ab + b².
How to obtain the square of a binomial?When the two binomials are added, the square is given as follows:
(a + b)².
Expanding the square, we have that:
(a + b)² = (a + b) x (a + b).
(a + b)² = a² + ab + ab + b².
(a + b)² = a² + 2ab + b².
Which is the result presented in this problem.
Now, when the binomial has a minus sign, involving a subtraction, the pattern is obtained as follows:
(a - b)² = (a - b) x (a - b).
(a - b)² = a² - ab - ab + b².
(a - b)² = a² - 2ab + b².
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What is 5/6 plus 7/8?
Answer:
1 17/24
Step-by-step explanation:
Answer:
41/24 or 1 17/24
Step-by-step explanation:
give an example of two principal amounts and two periods of time for which the simple interest turned at 2.42 percent would be equal
PLEASE HELP, BRAINLIEST FOR THE CORRECT ANSWER
Answer:Case 1: Principal: 10,000; Period: 1 year Case 2: Principal: 1,000; Period: 10 years Case 3: Principal: 5,000; Period: 2 years Case 4: Principal: 2,500; Period: 4 years Simple Interest is a product of period, principal and interest rate, for a given interest rate, the interest earned would be equal if the product of principals and period is same for any number of cases. In our examples, we see that the product of principal and period comes out to be 10,000 in each case.
Step-by-step explanation:
Solve for x, y, and z in the figure below.
47° 58°
x
y° / 81°
zº
N
оа
Ob
Ос
x = 34, y = 99, z = 41
x = 41, y = 92, z = 41
x = 72, y = 61, z = 41
X = 63, y = 70, z = 41
Od
Answer:
Option (A)
Step-by-step explanation:
From the given triangle in the picture,
∠y and the angle measuring 81° is a pair of supplementary angles (linear pair angles).
m∠y + 81° = 180°
m∠y = 180° - 81°
= 99°
By the property of a triangle,
x° + y° + 47° = 180°
x° + y° = 180° - 47°
x° + y° = 133°
For y = 99°
x° + 99° = 133°
x° = 133° - 99°
= 34°
Similarly, z° + 58° + 81° = 180°
z° + 139° = 180°
z° = 180° - 139°
z° = 41°
Therefore, Option (A) will be the correct option.
Applying the definition of the straight line angle and sum of triangle, the values of the variables in the figure are:
x = 34, y = 99, z = 41Recall:
Angles on straight line = 180°Sum of triangle = 180°Thus:
y° + 81° = 180° (angles on a straight line)
Subtract 81 from each sidey° = 180° - 81°
y° = 99°
x° + y° + 47° = 180° (sum of triangle)
Substitutex° + 99° + 47° = 180°
x° + 146° = 180°
Subtract 146° from each sidex° = 180° - 146°
x° = 34°
z° + 81° + 58° = 180° (sum of triangle)
z° + 139° = 180°
Subtract 139° from each sidez° = 180° - 139°
z° = 41°
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Evaluate. 42 = 2 + 6 .3 - 8
Answer:
Answer: 38
Step-by-step explanation: 6 / 2 = 3
3 + 3 = 6
42 - 6 = 38