There are $85.50 will they receive if the current exchange rate is 1 U.S. dollar to 112 Nepalese rupees.
What is convertibility of rupee?
Convertibility is the simplicity with which a national currency can be changed into gold or another asset through international exchanges. The rupee is a partially convertible currency in India; while smaller amounts can be exchanged at market rates, larger ones require permission.
Given:
Your friend just returned to the United States from their trip to Nepal and wants to exchange their 9,576 Nepalese rupees for U.S. dollars.
Since,
1 U.S dollar = 112 Nepalese rupees
Suppose x be the U.S dollars for 9576 Nepalese rupees.
So,
x = 9576/112 = 85.5
Hence, there are $85.50 will they receive if the current exchange rate is 1 U.S. dollar to 112 Nepalese rupees.
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please help it's due tomorrow
Answer:
B. -414,720 x⁷y⁶
Step-by-step explanation:
To find the 4th term of the expansion of (2x - 3y²)¹⁰, we can use the binomial theorem.
The binomial theorem states that for an expression of the form (a + b)ⁿ:
\(\displaystyle (a+b)^n=\binom{n}{0}a^{n-0}b^0+\binom{n}{1}a^{n-1}b^1+...+\binom{n}{r}a^{n-r}b^r+...+\binom{n}{n}a^{n-n}b^n\\\\\\\textsf{where }\displaystyle \rm \binom{n}{r} \: = \:^{n}C_{r} = \frac{n!}{r!(n-r)!}\)
For the expression (2x - 3y²)¹⁰:
a = 2xb = -3y²n = 10Therefore, each term in the expression can be calculated using:
\(\displaystyle \boxed{\binom{n}{r}(2x)^{10-r}(-3y^2)^r}\quad \textsf{where $r = 0$ is the first term.}\)
The 4th term is when r = 3. Therefore:
\(\begin{aligned}\displaystyle &\;\;\;\;\:\binom{10}{3}(2x)^{10-3}(-3y^2)^3\\\\&=\frac{10!}{3!(10-3)!}(2x)^7(-3y^2)^3\\\\&=\frac{10!}{3!\:7!}\cdot2^7x^7(-3)^3y^6\\\\&=120\cdot 128x^7 \cdot (-27)y^6\\\\&=-414720\:x^7y^6\\\\ \end{aligned}\)
So the 4th term of the given expansion is:
\(\boxed{-414720\:x^7y^6}\)
PLEASE HELP I CAN'T FAIL THIS!!!
What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
3,4 by feet by feet and abroad ahed
The average rate of change of g(x) between x=4 and x=7 is 5/6 which statement must be true
Answer:
Δy = 15/6 = 5/2 = 2.5
Step-by-step explanation:
rate of change is slope so change in f(x) over shange in x
5/6 = Δy/7-4
5/6 = Δy/3
5/6*3/1 = Δy
Δy = 15/6 = 5/2 = 2.5
Half a number x minus 5 is 11
Answer:
1/2x - 5 = 11
x = 28
Step-by-step explanation:
This is the answer because:
1) 1/2 a number means to multiply a number (x) to get half of the number. Therefore, we have to multiply 1/2 with x
2) Next, it says minus 5 which means to subtract 1/2x with 5
3) Finally, it says all of this equal to 11, so the final equation would be
1/2x - 5 = 11
4) x = 28 because half of 28 is 14. 14 minus 5 is equal to 11.
Hope this helps!
help please im a 4th grader and my homework due in 3 days 23948 plus 92374 please please
Answer: 116322
Step-by-step explanation:
23948+92374= 116322
Which of the following is not true with respect to tests for the difference between two means when the population standard deviations are known? a. The samples must come from normally distributed populations or the sample sizes must be large enough to apply the central limit theorem. b. The samples must be randomly and independently selected. c. The test statistic for a hypothesis test has a t distribution. d. The margin of error for a confidence interval estimate is
Answer:
c. The test statistic for a hypothesis test has a t distribution
Explanation:
The test statistic when the standard deviation is known and population is normally distributed should not have a t-distribution. A t-distribution will be required for the test statistic for the hypothesis if standard deviation is unknown and population is also normally distributed. The other options are correct however.
The Miller family consumes 20 jugs of milk in 4 weeks how much milk will be consumed in 8 weeks?
Answer:
40 jugs u just double it so ya
Answer:
40 Jugs
Step-by-step explanation:
20x2=40, and 20 is in 4 weeks, and 8 is double of 4.
A) What kinds of living things get their energy directly from the sun?
B) Where do consumers get their energy?
C) Why is sunlight important to animals that eat other animals?
Brainlist! Also don’t get your answer from online pls
And I report ppl who add links’s :)
Answer: A) Producers B) Consumers constitute the upper trophic levels. Unlike producers, they cannot make their own food. To get energy, they eat plants or other animals, while some eat both. c) Through the photosynthesis process, producers, such as grass, absorb the sun's light energy to produce food (stored sugar and starches). Consumers cannot make their own food, so they have to consume other organisms. The food of almost any kind of animal can be traced back to plants and the sun.
Step-by-step explanation:
The radius of a semicircle is 5 centimetres. What is the semicircle's diameter?
The diameter \(d = 2r\), where \(r\) is the radius. Thus, \(d = 2 \times r = 2 \times 5 = 10cm\)
Write equivalent fractions for 2 2/3 and 2 1/4 using a common denominator please hurry
The equivalent fractions for the mixed numbers, with the same denominator, are given as follows:
32/12 and 27/12.
How to obtain the equivalent fractions?The mixed numbers in the context of this problem are given as follows:
2 and 2/3.2 and 1/4.The fractions that represent each number are given as follows:
2 + 2/3 = 6/3 + 2/3 = 8/3.2 + 1/4 = 8/4 + 1/4 = 9/4.The least common factor of 3 and 4 is given as follows:
3 x 4 = 12.
Hence the equivalent fractions are given as follows:
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Given a function described as equation y = 3x + 4, what is y when x is 1,2, and 3
Answer:
when x=1 y=7, when x=2 y=10, when x=3 y=13
Step-by-step explanation:
explain why a-e are false statements
Step-by-step explanation:
If g(a)=0, the limit necessarily doesn't have to not exist. If a limit approach an asymptote, it would approach positive infinity or negative infinity.
24°
Solve for c.
= [?]°
C =
60% C
Enter
Answer:
96°
Step-by-step explanation:
You want the value of angle C in the diagram with two parallel lines and a triangle between them.
Angle sum theoremThe sum of angles in a triangle is 180°, so the missing angle in the triangle is ...
180° -60° -24° = 96°
Alternate interior anglesAngle C and the one we just found are alternate interior angles with respect to the parallel lines and the transversal that forms those angles. As such, they are congruent:
C = 96°
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HELP!!!!!!!!!!!!!!!!!!
Answer:
D 0.89275
Step-by-step explanation:
Answer the following questions based on the diagram below.
Find the sine and cosine of the values of angles r and s. Leave the answers as fractions.
sin r° =
cos r° =
tan r° =
sin s° =
cos s° =
tan s° =
Answer:
sin(r) = 15/17
cos(r) = 8/17
tan(r) = 15/8
sin(s) = 8/17
cos(s) = 15/17
tan(s) = 8/17
Step-by-step explanation:
⭐What are trigonometric functions?
the ratios of 2 side lengths in regard to an angle that is not the 90 degrees anglesin(θ) = opposite/hypotenusecos(θ) = adjacent/hypotenusetan(θ) = opposite/adjacentθ = an angle measure that is not the 90 degrees angleTo find out what sin, cos, or tan of each angle is, we need to identify what type of side lengths the given side lengths are (opposite, adjacent, or hypotenuse).
I have labeled it in the picture attached to this response.
⭐if this response helped you, please mark it the "brainliest"!⭐
Phillip is competing in a race car competition. He drives 218.4 miles in 2.4 hours.
(a) What unit rate may be of interest here?
If he drives the car 218.4 miles in 2.4 hours. Then the speed of the car will be 91 miles per hour.
How to find the speed of an object?If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.
If the object traveled D distance in T units of time, then that object's speed will be given as
Speed = Distance traveled/Time taken
S = D/T
Phillip is competing in a race car competition.
He drives 218.4 miles in 2.4 hours.
Then the speed of the car will be
S = 218.4/2.4
S = 91 miles per hour
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The standard deviation of returns averages28 percent. The options mature in 5 years and the risk-freerate is 2.36 percent. What is the value of e−Rt?
The value of e⁻ᴿᵗ is 0.8886 for the given the standard deviation of returns averages 28 percent with the options mature in 5 years and the risk-free rate is 2.36 percent.
So, the correct option is option ( C).
Exponential function is characterized by rapid increase (as in size or extent) and an exponential growth rate.
We have given that,
standard deviation of returns averages = 28%
options mature, t = 5 years and
Risk-free rate , R = 2.36 percent.
we have to calculate the value of e−Rt.
Exp(-Rt) = e⁻⁽²·³⁶⁾⁵
use exp(value) function to find the value :
=exp(-5 × 2.36%)
= exp(- 0.118 )
=0.8886
Hence, the the value of e⁻ᴿᵗ is 0.8886.
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Complete question:
I. M. Greedy has been granted options on 500,000 shares. The stock is currently trading at $48 a share and the options are at the money. The standard deviation of returns averages 28 percent. The options mature in 5 years and the risk-free rate is 2.36 percent. What is the value of e-rt?
a) .7087
b) .8476
c) .8886
d) .6087
e) .7952
Evaluate the limit, if it exists. Show work. lim┬(x→5)〖(x^2-3x-10)/(2x-10)〗
Hello, first of all we can notice that
\(5^2-3*5-10=25-15-10=0\)
and
\(2*5-10=0\)
and 0 divided by 0 is undetermined.
So, we need to factorise and simplify first.
\(x^2-3x-10=(x-5)(x+2)\\\\\text{Because we already known that 5 is a zero...}\\\\\text{... and the sum of the zeroes is 3 = 5 - 2 and the product is -10 = 5 * (-2).}\)
For x different from 5, we can write
\(\dfrac{x^2-3x-10}{2x-10}=\dfrac{(x-5)(x+2)}{2(x-5)}=\dfrac{x+2}{2}\)
So, the limit when x tends to 5 is
\(\dfrac{5+2}{2}=\boxed{\dfrac{7}{2}}\)
Thank you
. (a) What is demographics?
Demographics are data that describe populations and their characteristics. Demographic analysis is the study of a population's characteristics such as age, race, and gender.
What is demography?Demography is the statistical study of populations, particularly human populations. Demographic analysis investigates and quantifies population dimensions and dynamics; it can apply to entire societies or groups defined by criteria such as education, nationality, religion, and ethnicity.
Age, gender, occupation, cultural background, and family status are the five major demographic segments. Demographic analysis is the study of a population's characteristics such as age, race, and gender. Demographic data is a statistical representation of socioeconomic information such as employment, education, income, marriage rates, birth and death rates, and so on.
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Consumer Price Index, 1970-2002
Year
1970
1975
1980
1985
1990
1995
2002
Source: World Almanac 2003
CPI
116.3
161.2
248.8
322.2
391.4
456.5
535.8
Describe how the CPI is related to the year.
As the year increases, the CPI decreases and then increases.
As the year increases, the CPI increases and then decreases.
As the year increases, the CPI decreases.
d. As the year increases, the CPI increases.
C.
a.
b.
The computation of the increased in salary is $500.
Here, we have,
Explanation:
Data provided in the question
Salary for the first year = $50,000
CPI increase during the year = 4%
Overstated inflation = 1% i.e. 5%
The computation of the increased in salary is shown below:
= Salary of the first year × inflation rate - salary of the first year × CPI increase during the year
= $50,000 × 5% - $50,000 × 4%
= $2,500 - $2,000
= $500
Hence, The computation of the increased in salary is $500.
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complete question:
Mark's wage contract specifies a $50,000 salary for the first year, and specifies a salary increase equal to the percentage increase in the CPI during the second year. The increase in the CPI during the year was 4.0%. If the CPI overstates inflation by 1.0% (that is, the actual price increase was 3% and not 4%), at the end of the first year Mark's salary increased by $________ more than it would have without the upward bias.
Simplify 3 x (7 - 2) + 6
Question 1 options:
25
13
36
21
Question 2 (3 points)
Add the fractions and write in reduced form
4/6+1/12
Question 2 options:
5/18
3/4
9/12
5/12
Question 3 (3 points)
Divide the fractions and write in reduced form
2/5÷3/4
Question 3 options:
3/10
6/15
6/20
8/15
Question 4 (3 points)
Subtract the mixed numbers and write in reduced form
645−423
Question 4 options:
2 2/8
2 2/15
11 7/15
10 3/4
Question 5 (3 points)
Simplify and write in reduced form
45 ×(14)2
Question 5 options:
1/40
1/10
4/80
1/20
Question 6 (3 points)
Convert to an improper fraction
2 3/5
Question 6 options:
10/5
13/10
24/5
13/5
Question 7 (3 points)
------------------------------------
Convert the improper fraction to a mixed number
31/9
Question 7 options:
3 1/9
9 3/4
3 4/9
3.4
Question 8 (3 points)
Solve the equation for t
t + 4/5 = 8
Question 8 options:
t = 7 1/5
t = 4/5
t = 8 1/5
t = 8 4/5
Question 9 (3 points)
Simplify the variable expression, when w = 6
w-5
----------
2
Question 9 options:
1
1/2
− 1
3 1/2
Question 10 (3 points)
A recipe calls for 2 1/3 cups of milk, but you only want to make 1/2 of it. How much milk is needed?
Question 10 options:
4 2/3cups
14/3cups
3 2/3cups
1 1/6cups
Answer: 1
Step-by-step explanation:
8/-4 ÷ -3/9
8/-4 × 9/ -3 = 6
Answer:
1. Simplify 3 x (7 - 2) + 6 = 21
2. 4/6 + 1/12 = 3/4
3. 2/5 ÷ 3/4 = 8/15
4. 6 4/5 − 4 2/3 = 2 2/15
5. 4/5 x (1/4) (squared) 2 = 1/20
6. 2 3/5 as a reduced fraction: 13/5
7. 31/9 as a reduced fraction: 3 4/9
8. Solve for t : t = 7 1/5
9. (I tried to solve the answer but I couldn't figure it out. I deeply apologize for this. )
10. For this one, the answer depends.
If you need the exact form it would be: 14/3
If you need the mixed number form it would be: 4 2/3
I tried my best to answer all the questions the best way I could.
Step-by-step explanation:
You got this and I know you can do it!
could someone help me with this with an explanation?
x = 40
Properties of a parallelogram: Opposite sides are parallel Opposite sides are congruentAngles opposite from each other are equal to each otherAdjacent angles add up to 180 degreesThe sum of all angles adds up to 360 degrees.Here, we are given a parallelogram and I'm assuming we are asked to find the value of x given the expressions 2x + 20 and 2x.
Solving for xThere are a couple of different ways we can do this.
The first way
One way we can solve this is using the property that the sum of the angles in a parallelogram is 360 degrees.
This would mean that the sum of the given expressions = 360
Or in other words :
(2x + 20) + (2x) + (2x) + (2x + 20) = 360
We can then solve for x using this equation
(2x + 20) + (2x) + (2x) + (2x + 20) = 360
==> remove parenthesis and combine like terms
8x + 40 = 360
==> subtract 40 from both sides
8x = 320
==> divide both sides by 8
x = 40
The second way
We can also solve this using the property that the adjacent angles add up to 180 degrees. The adjacent angles (angles formed on the same line) can be taken from any side.
Take the top of the parallelogram for example. The expressions of the angles on the top are 2x + 20 and 2x
If they add up to 180 degrees then we can say that :
2x + 20 + 2x = 180
==> combine like terms
4x + 20 = 180
==> subtract 20 from both sides
4x = 160
==> divide both sides by 4
x = 40
Finding exact angle measures.If the measure of the angles is required, we simply plug in the value of x into the expressions.
2x + 20
==> plug in x = 40
2(40) + 20
==> multiply 2 and 40
80 + 20
==> simplify
100
The measures of the top left angle and bottom right angle is 100 degrees.
2x
==> plug in x = 40
2(40)
==> multiply 2 and 40
80
The measures of the top right angle and bottom left is 80 degrees.
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what is the median of numbers 20,35,28,15,22,36,26
The median of the given data set is 26.
What is the median?In statistics and probability theory, the median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as "the middle" value.
Given the data set, we need to find the median.
So, let's arrange the numbers from smallest to largest in order to find the median.
\(\sf 15,20,22,26,28,35,36.\)
\(\text{Median}=\sf 26\)
Therefore, the median of the data set is 26.
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Roll one-8 sided die 10 times. The probability of getting exactly 3 sevens in those 10 rolls is given by .
The binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
Given: Roll an 8-sided die 10 times and to find the probability of getting exactly 3 sevens in those 10 rolls.
Formula: The probability of getting exactly "k" successes in "n" trials of an event with a probability "p" of success in a single trial is given by the binomial probability formula:
P(k successes in n trials) = \(C(n , k) * p^k * (1 - p)^{(n - k)}\)
where:
C (n , k) represents the number of combinations of "n" things taken "k" at a time, and p is the probability of success in a single trial.Step1
Calculate the probability of rolling a seven on an 8-sided die (p).
Since there is 1 "success" outcome (rolling a seven) out of 8 possible outcomes (8-sided die),
p = 1/8.
Step 2
Plug the values into the binomial probability formula for getting exactly 3 sevens in 10 rolls:
P(3 sevens in 10 rolls) = \(C(10, 3) * (1/8)^3 * (1 - 1/8)^{(10 - 3)}\)
On subtracting gives:
=C(10, 3) * (1/8)^3 * (7/8)^{7}
Plugging the value of C(10,3) = 120 in the above equation:
= 120 * (1/8)^3 * (7/8)^{7}
Step 3:
Calculate the final answer using the formula:
P(3 sevens in 10 rolls) = 120 * (1/512) * (343/512)
≈ 0.0142
Therefore, the binomial probability of getting exactly 3 sevens in 10 rolls of an 8-sided die is approximately 0.0142 or 1.42%.
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What is the slope of this graph??
Darell made a scale drawing of a shopping center. The parking lot is 4 centimeters wide in the drawing. The actual parking lot is 40 meters wide. What scale did Darell use?
Answer:
1 cm to 10 m
Step-by-step explanation:
4 cm to 40 m = 1 cm to 10 m
Express the graph shown in color using interval notation. Also express the graph as an inequality involving x.
The interval notation of the number line is [-3, ∝) while that of the inequality is called x >= 3
What is the interval notation?One can use interval notation to represent real numbers that are continuous by specifying the values that define their boundaries. Written intervals appear somewhat akin to ordered pairs.
The way to know the interval notation of the graph is:
Based on the number line in the question, one can see:
The endpoint is a closed line at x = -3The arrow points is one that is to the rightThe rule that applies is that a closed line tells us that the number at that endpoint is one that is part of the solution set.
So this tells us that the interval notation of the number line is [-3, ∝). When depicted as an inequality, One can have x >= 3
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simplify the following
Answer:
I came up with \(5y^2|x^3|\)
Step-by-step explanation:
How much will you have from your investment after four years?
Given :
The principal = P = $2600
The simple interest rate = r = 5% = 0.05
The time = t = 4 years
so, The simple interest = I
\(I=P\cdot r\cdot t=2600\cdot0.05\cdot4=520\)so, the answer is : after 4 years, you will have $52
A fair die with its faces numbered from 1 to 6 will be rolled. Which of the following is the best interpretation of the probability that the number landing face up will be less than 3?
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/3
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 1/2
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3
For three rolls of the die, a number less than 3 will land face up one time.
It will take three rolls of the die before a number less than 3 lands face up for the first time.
The best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\).
For many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is \(\frac{1}{3}\).
As per the given question a fair die with its faces numbered from 1 to 6 will be rolled.
Here we have to calculate the probability that the number landing face up will be less than 3.
The event of the number landing face up will be less than 3 is exhaustive, mutually exclusive, and independent face of a die = 6
(1, 2, 3, 4, 5, 6)
Favorable number of faces of a die = 2
(1, 2)
Since the number landing faces up will be less than 3.
Therefore the probability that the number landing face up will be less than 3
\(=\frac{\text { Favourable Number }}{\text { Total Number }}$\)
\(& =\frac{2}{6} \\\)
\(& =\frac{1}{3}\)
Therefore the best interpretation of the probability that the number landing face up will be less than 3 is \(\frac{1}{3}\)
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The long-run relative frequency of a number less than 3 landing face up is 2/3.
The best interpretation of the probability that the number landing face up will be less than 3 is that for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3. This can be expressed mathematically as P(x<3) = 2/3, where P(x) is the probability of the number landing face up being less than 3.
For a single roll of the die, the probability of a number less than 3 landing face up is 1/2. This is because there are three numbers (1,2,3) which are less than 3, and 6 possible outcomes. Therefore, the probability of any one of those three numbers landing face up is 3/6, or 1/2.
For multiple rolls of the die, the probability of a number less than 3 landing face up is the sum of the probabilities of each of those three numbers landing face up. This can be expressed mathematically as P(x<3) = (1/2) + (1/2) + (1/2), or 2/3.
Therefore, for many rolls of the die, the long-run relative frequency of a number less than 3 landing face up is 2/3.
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