Using proportions, the value of 3500 Yen on October 8, 1982 is 13.1 USD
ProportionsProportion is a mathematical comparison between two numbers. According to proportion, if two sets of given numbers are increasing or decreasing in the same ratio, then the ratios are said to be directly proportional to each other.
On October 8, 1982;
267.38 Yen = 1US
The cost of 3500 Yen = ?
267.38 Yen = 1 USD
35000 Yen = x USD
Cross multiply both sides and solve for x
x * 267.38 = 3500 * 1
267.38x = 3500
Divide both sides by coefficient of x
267.38x / 267.38 = 3500 / 267.38
x = 13.1
The value of 3500 Yen is 13.1 USD
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NO LINKS!!
Rewrite the logarithm as a ratio of common logarithms and natural logarithms.
log_1/3(4)
a. common logarithms
b. natural logarithms
Common logarithm is the logarithm with the base 10, it is written as:
log a, lg a or log₁₀ aNatural logarithm is the logarithm with the base of e and is written as ln a.
How to rewrite a logarithm [tex]log_a\ b[/tex] as a ratio of logarithms with a different base c:
[tex]log_a\ b=log_c\ b\ /\ log_c\ a[/tex]Apply this to the given logarithm:
a. Common logarithms:
[tex]log_{1/3}\ 4=log\ 4\ /\ log\ (1/3)[/tex]b. Natural logarithms:
[tex]log_{1/3}\ 4=ln\ 4\ /\ ln\ (1/3)[/tex]Answer:
[tex]\textsf{a)} \quad \dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]
[tex]\textsf{b)} \quad \dfrac{\ln 4}{\ln \dfrac{1}{3}}=-\dfrac{\ln 4}{\ln 3}[/tex]
Step-by-step explanation:
Given logarithm:
[tex]\log_{\frac{1}{3}}(4)[/tex]
Part (a)The common logarithm is the logarithm with base 10.
[tex]\boxed{\textsf{Change of base}: \quad \log_ba=\dfrac{\log_xa}{\log_xb}}[/tex]
Use the change of base formula to rewrite the given logarithm as a ratio of common logarithms:
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]
[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\log_a \left(\dfrac{x}{y}\right)=\log_ax - \log_ay$\\\end{minipage}}[/tex]
This can be simplified using the log quotient rule:
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}\dfrac{1}{3}}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{\log_{10}1-\log_{10}3}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{10}4}{0-\log_{10}3}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\log_{10}4}{\log_{10}3}[/tex]
Part (b)The natural logarithm is the logarithm with base e.
[tex]\textsf{Also} \; \log_ex=\ln x[/tex]
Use the change of base formula to rewrite the given logarithm as a ratio of natural logarithms:
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\log_{e}4}{\log_{e}\dfrac{1}{3}}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]
[tex]\boxed{\begin{minipage}{5cm} \underline{Log quotient law}\\\\$\ln \left(\dfrac{x}{y}\right)=\ln x - \ln y$\\\end{minipage}}[/tex]
This can be simplified using the log quotient rule:
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln \dfrac{1}{3}}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{\ln1 - \ln 3}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=\dfrac{\ln 4}{0 - \ln 3}[/tex]
[tex]\implies \log_{\frac{1}{3}}(4)=-\dfrac{\ln 4}{\ln 3}[/tex]
What is the equation in standard form of the line that passes through the
point (4, −8) and 1 has a slope of 1/4?
The equation in standard form of the line that has a slope of 1/4 and passes through the point (4, −8) is written as: -x + 4y = -36.
What is the Equation of a Line in Standard Form?The equation of a line can be written in standard form as Ax + By = C.
Given the following:
A point (4, -8) = (a, b).
Slope (m) = 1/4.
Substitute m = 1/4 and (a, b) = (4, -8) into y - b = m(x - a):
y - (-8) = 1/4(x - 4)
y + 8 = 1/4(x - 4)
Rewrite the equation in standard form:
4(y + 8) = x - 4
4y + 32 = x - 4
4y = x - 4 - 32
4y = x - 36
-x + 4y = -36
The equation is: -x + 4y = -36.
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Leila works mowing lawns and babysitting.She earns $8.80 an hour for mowing and $7.30 and hour and babysitting.How much will she earn for 1 hour of mowing and 5 hours of babysitting?
Answer: $45.3
Step-by-step explanation:
1 hour of mowing: $8.80
5 hours of babysitting: $7.30 x 5 = $36.5
$36.5 + 8.80 = $45.3
$45.3 is your answer.
Answer:
45.30
Step-by-step explanation:
its simple math bro lol
Compare these numbers.
>
<
=
none of the above
determine the z transform for each of the following sequences. sketch the pole-zero plot and indicate the region of convergence. indicate whether or not the (discrete time) fourier transform of the sequence exists.
The Fourier transform of this sequence does not exist
What is Fourier Transform?
The output of a Fourier transform is a function of frequency and is a mathematical transformation that breaks down functions into frequency components.
To determine the z-transform of a given sequence, we need to find the sum of the sequence's terms multiplied by z raised to the negative of the term's position. For example, given a sequence x[n], the z-transform X(z) is given by:
[tex]X(z) = sum_{n=-infinity}^{infinity} x[n] * z^{-n}[/tex]
To sketch the pole-zero plot of a z-transform, we need to plot the poles (values of z where the z-transform is infinite) and zeros (values of z where the z-transform is zero) in the complex plane. The region of convergence (ROC) is the set of values of z for which the sum defining the z-transform converges.
[tex]x[n] = a^n u[n][/tex], where a is a constant and u[n] is the unit step function[tex](u[n] = 1 for n > = 0[/tex] and [tex]u[n] = 0 for n < 0)[/tex]
The z-transform of this sequence is given by:
[tex]X(z) = sum_{n=0}^{infinity} a^n * z^{-n}= 1 / (1 - a*z^{-1})[/tex]
This z-transform has a pole at z = 1/a and a zero at z = 0. The pole-zero plot consists of a single pole at 1/a in the complex plane. The ROC is the set of values of z such that [tex]|a*z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.
[tex]x[n] = (-1)^n u[n].[/tex]
The z-transform of this sequence is given by:
[tex]X(z) = sum_{n=0}^{infinity} (-1)^n * z^{-n}= 1 / (1 + z^{-1})[/tex]
This z-transform has a pole at z = -1 and a zero at z = 0. The pole-zero plot consists of a single pole at -1 in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| < 1[/tex], which is the region inside the unit circle centered at the origin. The Fourier transform of this sequence exists.
[tex]x[n] = n^2 u[n].[/tex]
The z-transform of this sequence is given by:
[tex]X(z) = sum_{n=0}^{infinity} n^2 * z^{-n}= z^{-2} / (1 - z^{-1})^3[/tex]
This z-transform has poles at z = 1, z = 1, and z = 1. The pole-zero plot consists of three poles at the origin in the complex plane. The ROC is the set of values of z such that [tex]|z^{-1}| > 1[/tex], which is the region outside the unit circle centered at the origin.
Hence, The Fourier transform of this sequence does not exist.
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What is the y/x ratio
The angles whose measure are greater than the measure of ∠1 are ∠2, ∠3, ∠7, ∠5 .
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + cwhere -
[m] : slope[c] : y - interceptGiven is a graph as shown in the image.
The ratio of {y/x} is called the slope of a line. So, we can write -
m = 3/2
m = 1.5
Therefore, the ratio of [y] by [x] is equivalent to 1.5.
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Find the point of intersection between a line that is tangent to the function
() = x^2 + 4 at = −1 ,
and the function
() = x^2 − 4
There is no point of intersection between a line that is tangent to the function () = x² + 4 at = −1 , and the function () = x² − 4
What is the point of intersection about?To find the point of intersection between the line that is tangent to the function y = x² + 4 at x = −1 and the function y = x² − 4 , we can set the two equations equal to each other and solve for x. This will give us the x-coordinate of the point of intersection.
Setting the two equations equal to each other, we have:
x^2 + 4 = x² - 4
This simplifies to:
2 = -8
This equation has no solutions, so the two functions do not intersect. This means that the point of intersection does not exist.
Alternatively, we could see that the two functions have different slopes at the point x = −1 .
The function y = x² + 4 has a slope of 2x at this point, which is equal to -2 . The function y = x² − 4 has a slope of 2x , which is equal to -2 at this point as well.However, since the two functions have different y-intercepts, they cannot be tangent to each other at this point. Therefore, the point of intersection does not exist.
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A newsletter publisher believes that 43% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis.
The conclusion regarding the test of the hypothesis is given as follows:
There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the percentage is not of 43% = proportion of 0.43, hence:
[tex]H_0: p = 0.43[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the percentage is not of 43%, hence:
[tex]H_1: p \neq 0.43[/tex]
The decision was to not reject the null hypothesis, meaning that there is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.
Missing InformationThe problem asks to identify the correct conclusion from these two options:
There is not sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.There is sufficient evidence at the 0.02 level of significance that the percentage is not of 43%.More can be learned about the test of an hypothesis at https://brainly.com/question/13873630
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There were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50. How many of each kind of ticket were purchased?
The number of the tickets purchased for upper reserve is 146 and lower is 470.
What is an expression?
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that there were 616 tickets purchased for a major league baseball game. The lower box tickets cost $12.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $6543.50.
The equations will be formed as,
L + U = 616
12.5L + 8U = 6543.5
Solve the above equations,
12.50L + 8 (616-L) = 6543.5
12.5L + 4928 - 8L = 6543.5
12.50L - 8L = 6543.5 - 4428
4.50L = 2118.5
L = 470
U = 616 - 470
U = 146
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The terminal side of an angle θ in standard position intersects the unit circle at (√30/7,-√19/7). What is cot(θ)?
The cotangent of the angle is -√570/30
How to determine the cotangent of the angle?From the question, we have the following parameters that can be used in our computation:
(√30/7,-√19/7)
This means that
(x, y) = (√30/7,-√19/7)
The cot(θ) is calculated as
cot(θ) = y/x
Substitute the known values in the above equation, so, we have the following representation
cot(θ) = (-√19/7)/(√30/7)
Evaluate
cot(θ) = -√19/√30
Rationalize
cot(θ) = -√570/30
Hence, the value of cot(θ) is -√570/30
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please help with this
The equation variation for the electric circuit is V = 25R.
How to find the equation variation of an electric circuit?In each electric circuit, the voltage in a battery is measured in volt and the resistance in the circuit is measured in ohms.
The voltage, V is directly proportional to the resistance, R. In a given circuit the voltage is 200 volts, when the resistance is 8 ohms.
The equation variation for the circuit can be represented as follows:
V α R
V = kR
where
k = constant of proportionalityTherefore,
voltage = 200 volts
resistance = 8 ohms
200 = 8k
k = 200 / 8
k = 25
Therefore, the equation is V = 25R
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Harry and Tim both made New Year’s Resolution. Harry made 5 more resolutions than Tim. Together they made 13 resolutions. How many resolutions did Harry make?
Answer:
Harry made 9 resolutions.
Step-by-step explanation:
Tim made x resolutions.
Harry made five more, x + 5.
Harry and Tim's together was 13.
x + x + 5 = 13
combine like terms.
2x + 5 = 13
subtract 5
2x = 8
divide by 2
x = 4
Tim made 4 resolutions.
Harry made 4 + 5, that is, 9 resolutions.
Check:
Harry and Tim together is 13.
4 + 9 = 13
Harry made 9 resolutions.
Q30: Work out the surface of the following prism
Surface area of the given prism is 6 square cm .
How to Calculate the Surface Area of Prism?
The steps to determine the surface area of the prism are:
Step 1: Note down the given dimensions of the prism.
Step 2: Substitute the dimensions in the surface area of prism formula (2 × Base Area) + (Base perimeter × height).
Step 3: The value of the surface area of the prism is obtained and the unit of the surface area of the prism is placed in the end (in terms of square units).
The lateral area is the area of the vertical faces, in case a prism has its bases facing up and down. Thus, the lateral surface area of prism = base perimeter × height
The total surface area of a Prism = Lateral surface area of prism + area of the two bases = (2 × Base Area) + Lateral surface area or (2 × Base Area) + (Base perimeter × height).
Area of triangular cross-section:
Area = 1/2 . b . h
Area = 1/2 . 4. 3
Area = 6 square cm
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Question 1 of 9
Use the scale to help you solve the equation and find the value of x. Enter the
value of x below. x+8=10
Answer: x + 8 - 8 = 10 - 8
Simplifying the left side of the equation gives us:
x = 2
Therefore, the value of x in this equation is 2.
5k^2+20k-25=0
please i need help
The value of k is 1 and -5.
What is factorization?
A number or other mathematical object is factorized or factored when it is written as the product of numerous factors, typically smaller or simpler things of the same kind.
Here, we have
Given function: 5k²+20k-25 = 0
Now, we factorize the given function and we get
5k²+20k-25 = 0
5(k²+4k-5) = 0
k² + 4k - 5 = 0
k² + 5k - k -5 = 0
k(k+5) -1(k+5) = 0
(k+5)(k-1) = 0
k+5 = 0, k-1 = 0
k = -5, k = 1
Hence, The value of k is 1 and -5.
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Can someone please answer this problem for me.
Answer:
$1 per movie
$5.50 per video game
Step-by-step explanation:
We know 5 movies and 2 video games cost $16 and 3 movies and 8 video games cost $47.
Let x be the cost of 1 movie and y be the cost of a video game.
5x + 2y = 16
3x + 8y = 47
In the first equation, lets solve for y
2y = 16 - 5x
y = 8 - 2.5x
Now, we can substitute this into the other equation.
3x + 8(8 - 2.5x) = 47
3x + 64 - 20x = 47
-17 x = - 17
x = 1
So a movie costs $1 to rent.
2y = 16 - 5(1)
2y = 11
y = 5.5
A video game costs $5.50 to rent.
The table shows the colour of the bicycles in
a bike shed.
Bookwork code: S79 EX
<
< Back
Colour Frequency
Silver
3
Green
1
a) What fraction of the bicycles are silver?
Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the bicycles that
are silver?
✓ Scroll down
Watch video
Answer >
A fraction of the bicycles which are silver is 3/4.
You should shade three (3) sections on the pie chart to show the number of bicycles that are silver.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors.
Based on the information provided, we can logically deduce the following parameters;
Number of silver bicycles = 3 silver bicycles.
Number of green bicycles = 1 green bicycles.
Therefore, the total number of bicycles is equal to 4 bicycles.
For the fraction of silver bicycles, we have;
Fraction = 3/4 bicycles.
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Miguel earns extra money working two weekends with his dad. He is saving to buy a new bike that costs $140. Heather says that Miguel needs to earn more than $6 for each hour that he works to have enough money to buy the bike. Her work is shown below. Write an inequality to explain why she is incorrect
An inequality to explain the reason Heather is incorrect is t > $8.75.
What is an inequality?In Mathematics, an inequality can be defined as a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the following inequality symbols:
Less than (<).Greater than (>).Greater than or equal to (≥).Less than or equal to (≤).From the histogram, we can logically deduce the following information;
Miguel’s work record during Weekend 1 = 9 hours.
Miguel’s work record during Weekend 2 = 7 hours.
Therefore, the total number of hours which Miguel worked in two Weekends is given by;
Total hours = 9 hours + 7 hours
Total hours = 16 hours.
Next, we would calculate the amount of money that Miguel would earn per hour;
Amount = $140/16
Amount = $8.75 per hour.
Note: Let the variable t represent the total earnings.
In conclusion, the correct inequality is t > $8.75.
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karla is offered a job as parking lot attendant. the job will pay 2400 per month, paid biweekly. along with the base salary, the company offers to pay half the cost of medical insurance and will match karlas contribution to a retirment plan up to a total of 1500. if the full cost of the medical insurance is 450 a month and karla plans to contribute the full 1500 every year tpa retirement plan, what is the actual annual value of this job to karla?
The actual annual value of this job to Karla is 33000.
What are arithmetic operations?
Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.
We have,
the job will pay 2400 per month,
if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,
the actual annual value of this job to Karla is:
2400 per month
annual value = 2400 * 12 = 28,800
the medical insurance is 450 a month
half the cost of medical insurance is 225 a month
annual value = 225 * 12 = 2700
the full 1500 every year tpa retirement plan,
So, the total value is:
= 28,800 + 2700 + 1500
= 33000
Hence, the actual annual value of this job to Karla is 33000.
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Create a multiplication equation with a solution of 2/7
Answer:
1 / 7 · 2 = 2 / 7
Determine which of the lines, if any, are parallel or perpendicular. Explain.
6. Line a passes through (0, 4) and (4, 3).
Line b passes through (0, 1) and (4, 0).
Line c passes through (2, 0) and (4, 4).
Answer:
Step-by-step explanation:
c 0,4 .01
Which of the following expressions has the leftmost value on the number line?
A.-7-10 O
B. 7-10
C.10-(-7)
D.10-7
Answer:
A.-7-100. [Since it is -107]
Keyshawn is asked to compare and contrast the domain and range of two functions F(x)=5x g(x)=5^x which statements could he include in his explanation
Domain is the input and range is the output of a function. By considering the options The domain of both function is all real number and The range of g(x) >0 are the correct answers.
What is Domain?Domain is the input of a function.
What is range?Range is the output of a function.
The domain of both functions is the set of all real numbers, since both functions are defined for all values of x.
The range of the function g(x)=5^x is the set of all positive real numbers, since any positive real number can be obtained by raising 5 to the power of a real number
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Function A and Function B are linear functions.
Function A
Function B
y=x-1
Which statement is true?
The y-intercept of Function A is greater than the y-intercept of Function B.
The y-intercept of Function A is less than the y-intercept of Function B.
The y-intercept of Function A is greater than the y-intercept of Function B.
What is y-intercept ?
The y intercept of a graph is the point where the graph intersects the y-axis. We know that the x-coordinate of any point on the y-axis is 0. So the x-coordinate of a y-intercept is 0.
Here are the steps to find the y intercept of a function y = f(x),
we just substitute x = 0 in it.solve for y.represent the y-intercept as the point (0, y).Given:
Function A : y=x-1
y-intercept of Function A (x=0) is y = -1
y-intercept of Function B are -6 , -4 and -3.
Since , -1 > -6 , -1 > -4 and -1 > -3
Hence , the y-intercept of Function A is greater than the y-intercept of Function B.
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A train travelling along a straight line with constant acceleration is observed to travel consecutive distances of 1km in times of 30s and 60s respectively. Find the initial velocity of the train.
Answer:
116.7m/s
Step-by-step explanation:
distance(s) = 1km = 1 × 1000m = 1000m
Time(t) = 60– 30 = 30s
initial velocity = u
acceleration (a) = 10m/s
using the formula
S = ut + ½at²
1000 = 30u + ½ × 10 × 30²
1000 = 30u + 5 × 900
1000 = 30u + 4500
30u = 4500 – 1000
30u = 3500
divide both sides by 30
u = 116.7m/s
i hope i helped
Colette bought 1/4 of a pound of green grapes and 1/8 of a pound of red grapes. How much more did the green grapes weigh than the red grapes?
The green grapes weigh 0.125 pounds more than the red grapes.
Step-by-step explanation:1/4 of a pound = 0.25 pounds
1/8 of a pound = 0.125 pounds
0.25 - 0.125 = 0.125 pounds
Hope this helps :)
Suppose the COMBINED area is known to be 0.10416, assume there is equal area on each side. Determine the corresponding Z-scores.A) z=±1.62 B) z=±1.58 C) z=±1.72 D) z=±1.66 E) z=±1.69 F) z=±1.49 G) None of These
An combined area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!
Z = ( x - μ)/σ
if the random variable X has a mean μ and standard deviation σ,
then transforming X using the z-score creates a random variable with mean 0 and standard deviation 1!
With that in mind, we just need to learn how to find areas under the standard normal curve, which can then be applied to any normally distributed random variable.
An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
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Every normally distributed random variable has a slightly different distribution shape, the only way to find areas using a table is to standardize the variable - transform our variable so it has a mean of 0 and a standard deviation of 1. How do we do that? Use the z-score!
Z = ( x - μ)/σ
if the random variable X has a mean μ and standard deviation σ,
An area of 0.10416 to the right means that it must have an area of 0.90 to the left, so the answer is again 1.28.
What is the sum of the interior angles of a regular polygon with 9 sides?
1,260°
1,620°
1,800°
1,980°
The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.
What is the angle of the polygons?An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.
Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,
Sum = ( n - 2 ) 180°
Sum = ( 9 - 2 ) 180
Sum = 7 x 180
Sum = 1260°
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What type of number is -560,114?
Choose all answers that apply:
A Whole number
B
C
D
Integer
Rational
Irrational
Answer:
It is an integer.
It is rational.
Step-by-step explanation:
A whole number is in the set
0, 1, 2, 3...
This set starts at zero and only includes zero and the positive numbers. So the given number is NOT a whole number.
It IS an integer. Integers include positive and negative numbers. That is, whole numbers and their opposites.
The number IS rational. That is, it can be written as a ratio:
-560114/1
Since it is rational, it is not irrational.
What does MW equal or mean
The value of MW in the given figure is 5.
What is meant by an angle?In Euclidean geometry, an angle is a figure made up of two rays that have a shared vertex, also known as a common terminus, and are referred to as the angle's sides. The angles of two rays are situated in the plane containing the rays. An angle is also created when two planes intersect at an angle. These are referred to as dihedral angles. Another technique to define two curves is to specify the angle generated by rays that are tangent to the intersection of two curves. Angle is another word for how long a rotation or angle is.
Given,
In the figure,
PM=MW
It means PM is similar to MW
As given in the figure,
PM=5
Since PM is similar to MW
Then,
MW=5
Therefore, the value of MW in the given figure is 5.
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