Answer:
The expected value of this game is -$0.26.
Step-by-step explanation:
Expected value:
Each possible earning/loss multiplied by it's probability.
Probability:
Number of desired outcomes divided by the number of total outcomes.
In this question, the order in which the numbers are chosen is not important. So we use the combinations formula to solve.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Probability of winning:
Desired outcomes:
The 6 correct numbers, so [tex]D = 6[/tex]
Total outcomes:
6 numbers from a set of 21. So
[tex]T = C_{21,6} = \frac{21!}{6!15!} = 54264[/tex]
Probability:
[tex]p = \frac{1}{54265}[/tex]
Expected value
[tex]\frac{1}{54265}[/tex] probability of earning 40,000.
[tex]\frac{54264}{54265}[/tex] probability of losing 1. So
[tex]E = \frac{40,000}{54265} - \frac{54264}{54265} = -0.26[/tex]
The expected value of this game is -$0.26.
A group of campers is going to occupy 4 campsites at a campground. There are 14 campsites from which to choose. In how many ways can the campsites be chosen?
There are
possible ways to choose the campsites.
Check
Enter your answer in the answer box and then click Check Answer.
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Answer:
24024 are the total number of ways of choosing 4 campsites out of 14.
Step-by-step explanation:
We are given that there are a total of 14 campsite out of which 4 campsites are to be chosen.
It is a simple example of selection problem.
Number of ways to choose the first campsite = 14
Now, one campsite is chosen, 13 campsites are left.
Therefore,
Number of ways to choose the second campsite = 13
Now, one more campsite is chosen, 12 campsites are left.
Therefore,
Number of ways to choose the third campsite = 12
Now, one more campsite is chosen, 11 campsites are left.
Therefore,
Number of ways to choose the fourth campsite = 11
So, total number of ways for choosing 4 campsites out of 14:
14 [tex]\times[/tex] 13 [tex]\times[/tex] 12 [tex]\times[/tex] 11 = 24024
Hence, answer is 24024.
Engineers want to design passenger seats in commercial aircraft so that they are wide enough to fit 95 percent of adult men. Assume that adult men have hip breadths that are normally distributed with a mean of 14.4 inches and a standard deviation of 1.1 inches. Find the 95th percentile of the hip breadth of adult men. Round your answer to one decimal place; add a trailing zero as needed. The 95th percentile of the hip breadth of adult men is [HipBreadth] inches.
Answer:
[tex]z=1.64<\frac{a-14.4}{1.1}[/tex]
And if we solve for a we got
[tex]a=14.4 +1.64*1.1=16.204[/tex]
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Step-by-step explanation:
Let X the random variable that represent the hips breadths of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(14.4,1.1)[/tex]
Where [tex]\mu=14.4[/tex] and [tex]\sigma=1.1[/tex]
For this part we want to find a value a, such that we satisfy this condition:
[tex]P(X>a)=0.05[/tex] (a)
[tex]P(X<a)=0.95[/tex] (b)
We can find a quantile in the normal standard distribution who accumulates 0.95 of the area on the left and 0.05 of the area on the right it's z=1.64
Using this value we can set up the following equation:
[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.95[/tex]
[tex]P(z<\frac{a-\mu}{\sigma})=0.95[/tex]
And we have:
[tex]z=1.64<\frac{a-14.4}{1.1}[/tex]
And if we solve for a we got
[tex]a=14.4 +1.64*1.1=16.204[/tex]
The 95th percentile of the hip breadth of adult men is 16.2 inches.
Data on the number of work days missed and the annual salary increase for a company’s employees show that, in general, employees who missed more days of work during the year received smaller raises than those who missed fewer days. A detailed analysis shows that the number of days missed explains 60% of the variation in salary increases. What is the correlation between the number of days missed and salary increase?
Answer:
Step-by-step explanation:
Correlation describes how strongly pairs of given variablé are related. In this case, a detailed analysis that was carried out shows that the number of days missed by employees explains 60% of the variation in salary increases and also impressed upon this fact that employees who missed more days of work during the year received smaller raises than those who missed fewer days.
From the analysis, we can draw a conclusion that there is a correction between days missed and variation in salary increase and that this type of correction is a negative correlation where an increase in the number of days missed will lead to a decrease in the raises awarded to each employee.
Please answer this correctly
Answer:
The range would decrease by 2
Step-by-step explanation:
The range is the difference between the highest number and the lowest number.
8 is the highest number and 1 is the lowest number here, so to find the range we would subtract 1 from 8. 8-1=7
But since 8 is being replaced by 6, we would subtract 1 from that instead.
6-1=5
The range decreased from 7 to 5, so it decreased by 2.
Hope that helps :)
A bank is reviewing its risk management policies with regards to mortgages. To minimize the risk of lending, the bank wants to compare the typical mortgage owed by their clients against other homebuyers. The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500. Suppose a random sample of 150 Americans is selected. Identify each of the following, rounding your answers to the nearest cent when appropriate:
1. $mu=?
2. $sigma=?
3. $=n=$
4. $mu_{overlinex}=$x=?
5. $sigma_{overlinex}=$x=?
Answer:
1. [tex]$ \mu = \$306,500 $[/tex]
2. [tex]\sigma = \$24,500[/tex]
3. [tex]n = 150[/tex]
4. [tex]$ \mu_{x}= \mu = \$306,500 $[/tex]
5. [tex]\sigma_x = \$ 2,000 \\\\[/tex]
Step-by-step explanation:
The average mortgage owed by Americans is $306,500, with a standard deviation of $24,500.
From the above information, we know that,
The population mean is
[tex]$ \mu = \$306,500 $[/tex]
The population standard deviation is
[tex]\sigma = \$24,500[/tex]
Suppose a random sample of 150 Americans is selected
[tex]n = 150[/tex]
Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.
The sample mean would be the same as the population mean that is
[tex]$ \mu_{x}= \mu = \$306,500 $[/tex]
The sample standard deviation is given by
[tex]\sigma_x = \frac{\sigma}{\sqrt{n} }[/tex]
Where [tex]\sigma[/tex] is the population standard deviation and n is the sample size.
[tex]\sigma_x = \frac{24,500}{\sqrt{150} } \\\\\sigma_x = \$ 2,000 \\\\[/tex]
Therefore, the required parameters are:
1. [tex]$ \mu = \$306,500 $[/tex]
2. [tex]\sigma = \$24,500[/tex]
3. [tex]n = 150[/tex]
4. [tex]$ \mu_{x}= \mu = \$306,500 $[/tex]
5. [tex]\sigma_x = \$ 2,000 \\\\[/tex]
Calculate the coefficient of determination for the following data set. Round your answer to three decimal places. ACT Scores and College GPAs ACT Score, x College GPA, y 16 1.85 18 2.20 24 2.80 25 3.50 34 4.00 27 3.18 29 3.90 25 2.90 30 4.00 21 2.60 17 2.50 21 3.65 28 3.10 31 3.72 35 3.24 18 2.30 17 1.70 26 3.10 28 3.50 23 2.76
Answer:
n=20 [tex] \sum x = 493, \sum y = 60.5, \sum xy= 1553.01, \sum x^2 =12775, \sum y^2 =192.021[/tex]
And in order to calculate the correlation coefficient we can use this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
[tex]r=\frac{20(1553.01)-(493)(60.5)}{\sqrt{[20(12775) -(493)^2][20(192.021) -(60.5)^2]}}=0.8237[/tex]
And then the determination coeffcient would be:
[tex] r^2 = 0.8237^2= 0.6785 \approx 0.679[/tex]
Step-by-step explanation:
College GPAs ACT Score, x
16 18 24 25 34 27 29 25 30 21 17 21 28 31 35 18 17 26 28 23
College GPA, y
1.85 2.20 2.80 3.50 4.00 3.18 3.90 2.90 4.00 2.60 2.50 3.65 3.10 3.72 3.24 2.30 1.70 3.10 3.50 2.76
From the info given we can calculate the following sums:
n=20 [tex] \sum x = 493, \sum y = 60.5, \sum xy= 1553.01, \sum x^2 =12775, \sum y^2 =192.021[/tex]
And in order to calculate the correlation coefficient we can use this formula:
[tex]r=\frac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{[n\sum x^2 -(\sum x)^2][n\sum y^2 -(\sum y)^2]}}[/tex]
[tex]r=\frac{20(1553.01)-(493)(60.5)}{\sqrt{[20(12775) -(493)^2][20(192.021) -(60.5)^2]}}=0.8237[/tex]
And then the determination coeffcient would be:
[tex] r^2 = 0.8237^2= 0.6785 \approx 0.679[/tex]
At a computer store, a customer is considering 9 different computers,10 different monitors,8 different printers and 2different scanners. Assuming that each of the components is compatible with one another and that one of each is to be selected. Determine the number of different computer systems possible.
Answer:
The number of different computer systems possible is 1440.
Step-by-step explanation:
For each computer, there are 10 options of monitor.
For each monitor, there are 8 printers.
For each printer, there are 2 scanners.
There are 9 computers.
Determine the number of different computer systems possible.
9*10*8*2 = 1440
The number of different computer systems possible is 1440.
Suppose we take repeated random samples of 50 college students from the same population and determine a 95% confidence interval for the mean GPA from each sample. Which of the following statements is true regarding the confidence intervals?
A. The intervals are centered around the population mean GPA.
B. The intervals are centered around the sample mean GPA.
C. 95% of the intervals will contain the sample mean in the long run.
D. 95% of the intervals will contain the population mean in the long run.
Answer:
B. The intervals are centered around the sample mean GPA.
D. 95% of the intervals will contain the population mean in the long run.
Step-by-step explanation:
Confidence interval:
Depends on two things: The sample mean and the margin of error.
Lower end: Sample mean - margin of error
Upper end: Sample mean + margin of error
This means that the intervals are centered around the sample mean.
x% level:
x% of the intervals will contain the population mean in the long run.
So the true statements are:
B. The intervals are centered around the sample mean GPA.
D. 95% of the intervals will contain the population mean in the long run.
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion? Assume that past data are not available for developing a planning value for p*
Answer:
A sample of 1068 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
At 95% confidence, how large a sample should be taken to obtain a margin of error of 0.03 for the estimation of a population proportion?
We need a sample of n.
n is found when M = 0.03.
We have no prior estimate of [tex]\pi[/tex], so we use the worst case scenario, which is [tex]\pi = 0.5[/tex]
Then
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.96\sqrt{\frac{0.5*0.5}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.96*0.5[/tex]
[tex]\sqrt{n} = \frac{1.96*0.5}{0.03}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*0.5}{0.03})^{2}[/tex]
[tex]n = 1067.11[/tex]
Rounding up
A sample of 1068 is needed.
What is the slope of the line below
Answer:
C. [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
You can use the formula to find the slope: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
(-1.5, 1.5) & (1.5, 0)
[tex]\frac{0-(-1.5)}{1.5-(-1.5)} =\\\\\frac{0+1.5}{1.5+1.5} =\\\\\frac{1.5}{3} =\\\\\frac{1}{2}[/tex]
The slope is [tex]\frac{1}{2}[/tex]
The top base extends 8 units to the right of the bottom
base. What is the volume of the prism?
O 1,040 cubic units
O 1,360 cubic units
O 1,950 cubic units
0 2,210 cubic units
Answer:
1,950 cubic units
Step-by-step explanation:
The computation of the volume of the prism is shown below;
As we know that
[tex]V=B\times h[/tex]
where,
V = Volume of the prism
B = Area of the base
h = height of the prism
But before that, we need to do the following calculations
a. Area of rectangle is
[tex]= length \times breadth[/tex]
[tex]= 13 \times 10[/tex]
[tex]= 130\ units ^2[/tex]
b. Now the height of the prism which could find out by using the Pythagoras theorem
[tex]17^{2}=8^{2} +h^{2}h^{2}=17^{2}-8^{2}h^{2}=225h = 15\ units[/tex]
So, the volume of the prism is
[tex]= 130 \times 15[/tex]
= 1,950 cubic units
What are the numbers I’m supposed to mark
Answer:
12 ÷(15) = -2
-15 ÷(-3) = 5
Answer:
12 divided by -6 is -2
-15 divided by -3 is 5
Step-by-step explanation:
a positive and a positive equals positive
a negative and a negative equals a positive
a negative and a positive equals a negative
this only works for multiplication and division
hope this helps
The perimeter of a triangle is 39 feet one side of the triangle is 1 foot longer than the second side the third is 2 feet longer than the second side find the length of each side
Answer:
second side = s first side = s +1 third side = s +2
39 feet = s + (s+1) + (s +2)
39 feet = 3s +3
36 feet = 3s
s = second side = 12 feet
first side = 13 feet
third side = 14 feet
Step-by-step explanation:
For every 1% increase in
unemployment, there is a 2%
decrease in potential GDP. This
creates a GDP gap. What is the GDP
gap when there is 4.5%
unemployment?
Answer:
The GDP gap is 9 % when there is 4.5 % unemployment.
Step-by-step explanation:
The statement shows a reverse relationship, where an increase in unemployment is following by decrease in potential GDP and can be translated into the following rate:
[tex]r = \frac{2\,\% \,GDP}{1\,\% unemp.}[/tex]
The GDP gap at a given increase in unemployment can be estimated by the following expression:
[tex]\frac{g}{u} = r[/tex]
[tex]g = r\cdot u[/tex]
Where:
[tex]r[/tex] - GDP gap-unemployment increase rate, dimensionless.
[tex]u[/tex] - Increase in unemployment rate, measured in percentage.
[tex]g[/tex] - GDP gap, measured in percentage.
If [tex]r = \frac{2\,\% \,GDP}{1\,\% unemp.}[/tex] and [tex]u = 4.5\,\%\,unemp.[/tex], the GDP gap is:
[tex]g = \left(\frac{2\,\%\,GDP}{1\,\%\,unemp.} \right)\cdot (4.5\,\%\,unemp.)[/tex]
[tex]g = 9\,\%\,GDP[/tex]
The GDP gap is 9 % when there is 4.5 % unemployment.
When a man observed a sobriety checkpoint conducted by a police department, he saw 695 drivers were screened and 5 were arrested for driving while intoxicated. Based on those results, we can estimate that Upper P (Upper W )equals0.00719, where W denotes the event of screening a driver and getting someone who is intoxicated. What does Upper P (Upper W overbar )denote, and what is its value?
Answer:
[tex]P(\overline{W})=0.99281[/tex]
Step-by-step explanation:
W denotes the event of screening a driver and getting someone who is intoxicated.
Out of 695 drivers, the man observed that 5 were arrested for driving while intoxicated.
Therefore: [tex]P(W)=\dfrac{5}{695} \approx 0.00719[/tex]
The probability of the complement of event W, [tex]\overline{W}[/tex] denotes the probability of screening a driver and getting someone who is NOT intoxicated.
From probability theory, we know that the sum of the probability of an event and its complement is 1.
[tex]P(W)+P(\overline{W})=1\\P(\overline{W})=1-P(W)\\=1-0.00719\\\\P(\overline{W})=0.99281[/tex]
help me please please please
Answer:
702.1
Step-by-step explanation:
Use the formula for the diagonal of a cuboid.
√(l^2+b^2+h^2)
√(33^2+56^2+33^2)
√5314
= 702.125345
Answer:
72.9 units (1 d.p.)
Step-by-step explanation:
Please see the attached pictures for full solution.
What is the value of x?
A-14
B-26
C-35
D-69
Answer:
14
Step-by-step explanation:
Solve the equation? Help Please !!!?!?! 3-x/2>12
Answer:x<-18
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
-1/2x+3>12
Step 2: Subtract 3 from both sides.
-1/2x+3-3>12-3
-1/2x>9
Step 3: Multiply both sides by 2/(-1).
(2/-1)*(-1/2x)>(2/-1x)*(-1/2x)
X<-18
:D
Need help pleaseee x
[tex]-95/5=-19[/tex]
[tex]70/-2=-35[/tex]
[tex]-18 \times 10=-180[/tex]
[tex]27 \times -3=-81[/tex]
Answer:
a. -19
b. -35
c. -180
D. -81
please see the attached picture for full solution
hope it helps....
Good luck on your assignment....
The height of seaweed of all plants in a body of water are normally distributed with a mean of 10 cm and a standard deviation of 2 cm. Which length separates the lowest 30% of the means of the plant heights in a sampling distribution of sample size 15 from the highest 70%? Round your answer to the nearest hundredth. Use the z-table below:
0.00 0.01 0.02 0.030.04 0.05 0.06 0.08 0.09 0.07 -0.8 0.212 0.209 0.206 0.203 0.201 0.198 0.195 0.192 0.189 0.187 -0.7 0.242 0.239 0.236 0.233 0.230 0.227 0.224 0.221 0.218 0.215 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.337 0.334 0.330 0.326 0.323 0.319 0.316 0.312 -0.3 0.382 0.378 0.374 0.3710.367 0.363 0.359 0.356 0.352 0.348
Round the z-score and i to two decimal places. Provide your answer below: Z-Score =
Answer:
Step-by-step explanation:
Hello!
The variable of interest is:
X: height of seaweed.
X~N(μ;σ²)
μ= 10 cm
σ= 2 cm
You have to find the value of the variable X that separates the bottom 0.30 of the distribution from the top 0.70
P(X≤x)= 0.30
P(X≥x)= 0.70
Using the standard normal distribution you have to find the value of Z that separates the bottom 0.30 from the top 0.70 and then using the formula Z= (X-μ)/σ translate the Z value to the corresponding X value.
P(Z≤z)= 0.30
In the body of the table look for the probability of 0.30 and reach the margins to form the Z value. The mean of the distribution is "0" so below 50% of the distribution you'll find negative values.
z= -0.52
Now you have to clear the value of X:
Z= (X-μ)/σ
Z*σ= X-μ
X= (Z*σ)+μ
X= (-0.52*2)+10= 8.96
The value of seaweed height that divides the bottom 30% from the top 70% is 8.96 cm
I hope this helps!
Answer:-0.53 and 9.72
Step-by-step explanation:
if 3x+2y=72 and y=3x, then x whoever solve I give them all my points
Answer:
[tex]x=8[/tex]
[tex]y=24[/tex]
Step-by-step explanation:
3x+2y=72
If y=3x, we plug it into our equation and get:
3x+2×3x=72
3x+6x=72
9x=72
Divide both sides by 9
x=8
Answer:
x = 8
Step-by-step explanation:
3x + 2y = 72
Put y as (3x), and solve for x.
3x + 2(3x) = 72
Multiply 2(3x).
3x + 6x = 72
Add like terms 3x and 6x.
9x = 72
Divide 9 into both sides and isolate x.
x = 72/9
x = 8
The value of x is 8.
Brian invests £8300 into his bank account. He receives 1.4% per year compound interest. How much will Brian have after 7 years? Give your answer to the nearest penny where appropriate.
Answer:
The nearest penny will be £9146.6
Step-by-step explanation:
A = P[1 + (r/n)]^(nt)
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
A = 8300 [ 1 + {1.4 / (7*100)}]^(7*7)
A = 8300 [ 1 + {0.002}]^(49)
A= 8300 [ 1.002 ]^(49)
A = 8300 [ 1.102 ]
A = £9146.6
What is Compound Interest (CI) ?
Compound Interest is all about adding interest to principal amount of loan , deposit .
What is the area of the triangle below?
18
Answer:
D. 32 sq. unit s
Step-by-step explanation:
4×18/2=32
The graph represents the data cost for monthly internet service for a cell phone. Which function, C(x), respresent the monthly cost in dollars in terms of x, the number of gigabytes used in a month?
Answer:
Correct option: first one
Step-by-step explanation:
The graph has 3 different parts:
Cost = 15 when the Gigabytes used is lesser than or equal 2,
Cost from 20 to 40 when the Gigabytes used is greater than 2 and lesser than or equal 6.
An increase of 4 gigabytes caused an increase of 20 in the cost, so the slope is 20/4 = 5, and the y-intercept is:
20 = 5*2 + b -> b = 10
Cost = 50 when the Gigabytes used is greater than 6.
So the correct option is the first one
Answer:
A.
Step-by-step explanation:
I wish you all luck and love on your test or cumulative exam! <3
Explain why it isn’t always best to solve a system of equations by graphing. Give an example in which this is the case.
Answer:
the graph may be difficult to drawthe answer may be difficult to read from the graphStep-by-step explanation:
We assume the concern is with systems of linear equations. Systems of non-linear equations will have some of the same issues.
A system of equations is nicely solved by graphing if the graph(s) can be made easily and if the solutions can be easily read from the graph. If those conditions are not met, then solving a system graphically may not be feasible.
The attached graph shows a system of equations that would be difficult to solve graphically by hand. (A graphing calculator helps immensely.)
The system in our example is ...
x - 3y = 38x -31y = -43We have chosen the second equation to have a slope similar to that of the first equation, so that the lines gradually come together. That makes it difficult to read the point of intersection from the graph. The second equation also has no obvious integer solutions, so graphing it in the first place can be difficult. If the solutions have a fractional part, the exact value of the fraction may be impossible to determine from the graph.
In short, ...
creating the graph(s) may be difficultreading the graph with sufficient precision may be difficultUn importante grupo de inversionistas, asociado a una línea de buses interurbanos, está considerando instalar un centro logístico de mantención, a usted le ha encargado la evaluación de este proyecto, considerando un horizonte de 5 años. el estudio técnico del proyecto indica que se requiere disponer de un galpón 1000 m2 dentro de las instalaciones que la empresa ya cuenta, además de un acceso pavimentado con cimientos especiales de 6000 m2. el costo de construcción del galpón es de $ 42 por m2, y el costo de construcción del acceso pavimentado es de $ 32 por cada m2. adicionalmente, se requiere adquirir servidores de punta para realizar el check de los buses antes de comenzar sus recorridos, su costo se estima en $ 630.000, además se necesitan equipos especiales para la revisión de los neumáticos, con un costo de $ 400.000. finalmente, se deberá conseguir un terreno al interior del terminal de buses, con una superficie de 1 m2, con un costo de $50 por m2.
Answer:
Monto total de inicio requerido, de acuerdo con los detalles proporcionados en la pregunta = $ 1,264,000
Total start-up amount required, according to the details provided in the question = $1,264,000
Step-by-step explanation:
- Hay 1000 m² de espacio de almacén para construir a $ 42 por m². Dinero total requerido = 1000 × 42 = $ 42,000.
- Hay 6000 m² de espacio de acceso pavimentado para construir a $ 32 por m². Dinero total requerido = 6000 × 32 = $ 192,000.
- Compra de servidores de última generación para revisar los autobuses antes de comenzar sus recorridos. Costo total = $ 630,000.
- Se necesita comprar equipo especial para revisar los neumáticos. Costo = $ 400,000.
Monto total de inicio requerido, de acuerdo con los detalles proporcionados en la pregunta = 42000 + 192000 + 630000 + 400000 = $ 1,264,000
¡¡¡Espero que esto ayude!!!
English Translation
- There is 1000 m² of warehouse space to construct at $42 per m². Total required money = 1000 × 42 = $42,000
- There is 6000 m² of paved access space to construct at $32 per m². Total money required = 6000 × 32 = $192,000
- Purchase of state-of-the-art servers to check the buses before starting their tours. Total Cost = $630,000
- Purchase of special equipment is needed to check the tires. Cost = $400,000
Total start-up amount required, according to the details provided in the question = 42000 + 192000 + 630000 + 400000 = $1,264,000
Hope this Helps!!!
Estimate the quotient by rounding the expression to relate to a one-digit fact. Explain your thinking in the space below. a. 432 ÷ 73 ___________ b. 1,275 ÷ 588 ___________
Answer:
5 remainder 50 and 2 remainder 100
Step-by-step explanation:
432 /73
432=400
73=70
70/400 = 005 Remainder 50
1275=1300
588=600
1300/600=2 remainder 100
Estimations are used to get the approximated value of an expression.
The estimate of 432 ÷ 73 is 5.714The estimate of 1,275 ÷ 588 is 1.667[tex]\mathbf{(a)\ 432 \div 73}[/tex]
Round up to 1 digit
[tex]\mathbf{432 \div 73 \approx 400 \div 70}[/tex]
Divide
[tex]\mathbf{432 \div 73 \approx 5.714}[/tex]
Hence, the estimate of 432 ÷ 73 is 5.714
[tex]\mathbf{(b)\ 1275 \div 588}[/tex]
Round up to 1 digit
[tex]\mathbf{ 1275 \div 588 \approx 1000 \div 600}[/tex]
Divide
[tex]\mathbf{ 1275 \div 588 \approx 1.667}[/tex]
Hence, the estimate of 1,275 ÷ 588 is 1.667
Read more about estimates at:
https://brainly.com/question/24586443
Triangle J K L is shown. Angle J L K is 105 degrees. The length of J K is 4.7 and the length of J L is 2.7.
Law of sines: StartFraction sine (uppercase A) Over a EndFraction = StartFraction sine (uppercase B) Over b EndFraction = StartFraction sine (uppercase C) Over c EndFraction
What is the approximate measure of angle K? Use the law of sines to find the answer.
20°
34°
41°
53°
Answer:
The approximate measure of angle K is 34°
Step-by-step explanation:
In ΔJKL
∠L = 105°
JK = 4.7
JL = 2.7
Sine Rule:
[tex]\frac{SinA}{a} = \frac{SinB}{b}= \frac{SinC}{c}[/tex]
So,[tex]\frac{SinL}{JK} = \frac{SinK}{JL}\\\frac{SinL}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105}{4.7} = \frac{SinK}{2.7}\\\frac{Sin 105 \times 2.7}{4.7} = SinK\\\frac{(0.9659 \times 2.7)}{4.7} = Sin K\\\frac{2.60793}{4.7} = Sin K\\0.5549 = Sin K\\Sin^{-1}(0.5549)= K\\K = 33.70[/tex]
K ≈ 34°
So, Option B is true
Hence The approximate measure of angle K is 34°
Answer:
B) 34
Step-by-step explanation:
find the equation of the line passing through the points (2,4) and (3,2). find both green and grey box
Answer:
y = -2x +8
Step-by-step explanation:
The 2-point form of the equation of a line is useful when two points are given.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
y = (2 -4)/(3 -2)(x -2) +4
y = -2(x -2) +4
y = -2x +8
Gail baked some muffins. She sold 2/7 of the muffins on Monday. She sold 1/3 more of the muffins on Tuesdays than on Monday. What fraction of the muffins did Gail sell on the two days?