Answer:
Blue Star
a. The Ford TriVan The Honda CityVan
Total life-cycle costs $94,368 $90,936
Based on life cycle cost, the Honda CityVan is the best choice.
b. Blue Star needs to put on the Ford TriVan 9,032 miles more for the cost to be equal with the Honda CityVan's.
c. The crossover point in years = 5 months
Step-by-step explanation:
a) Data and Calculations:
The Ford TriVan The Honda CityVan
Purchase costs $28,000 $32,000
Fuel efficiency per gallon 24 miles 37 miles
Operating cost per mile $0.20 $0.22
Total operating costs $4,400 $4,840
Estimated annual distance 22,000 miles 22,000 miles
Gallons of fuel consumed 916.7 (22,000/24) 594.6 (22,000/37)
Total cost of fuel $3,896 $2,527
Fuel cost per mile $0.18 $0.115
Total cost per mile $0.38 $0.335
Expected life of truck 8 years 8 years
Average gas price = $4.25 per gallon
Total costs:
The Ford TriVan The Honda CityVan
Annual costs:
Total operating costs $4,400 $4,840
Total cost of fuel $3,896 $2,527
Annual costs $8,296 $7,367
Life cycle costs:
Annual costs for 8 years $66,368 $58,936
Purchase costs $28,000 $32,000
Total life-cycle costs $94,368 $90,936
Difference in costs between Ford TriVan and Honda CityVan = $3,432 ($94,368 - $90,936)
Miles to put on the Ford TriVan for the life cycle cost to be equal to the life cycle cost of the Honda CityVan
= Difference in costs divided by total cost per mile of the Ford TriVan
= 9,032 miles ($3,432/$0.38)
Annual distance = 22,000 miles
Monthly distance = 1,833 miles
9,032/1,833 = 4.93 months or 5 months approximately
-6(2p + 1) = -7p - 31
Answer:
P=5
Step-by-step explanation:
-6(2p + 1) = -7p - 31
Expand -6(2p+1)
Apply distributive law;
a=-6, b=2p, c=1
=-6*2p+(-6)*1
=-6*2p-6*1
Simplify; -6*2p-6*1
=-12p-6
-12p-6=-7p-31
Add 6 to both sides;
-12p-6+6=-7p-31+6
simplify;
-12p=-7p-25
Add 7p to both sides;
-12p+7p=-7p-25+7p
Simplify;
-5p=-25
Divide both sides by -5
-5p/-5=-25/-5
Simplify:
p=5
Answered by the One and Only #DrippQueenMo
Answer:
p=5
Step-by-step explanation:
first you want to get rid of the parentheses in -6(2p+1) so take -6 and times it by 2p and 1 to get -12p-6. You can do this because of the distributive property. Now you have the equation -12p - 6 = -7p - 31. So now you want to get the p values on one side. Adding 7p to both sides of the equations get rid of the -7p. -12p + 7p equals -5p so now you have the equation -5p - 6 = -31. so now you need to get the whole numbers on one side. So add 6 to both sides so you can get rid of the -6. this leaves you with the equation -5p= -25. Now to find the value of p you divide both sides by -5. This gives you p = 5.
How many favorable outcomes will there be for spinning blue at least once?
(I NEED HELP PLEASE)
Answer:
It depends on the spinner and how many of each color spaces are on it.
Step-by-step explanation:
A favorable outcome means an outcome that matches your criteria.
Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.
If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).
Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 325 grams and a standard deviation of
10 grams. Find the weight that corresponds to each event. (Use Excel or Appendix C to calculate the z-value. Round your final
answers to 2 decimal places.)
3378
318.26
to
33174
a. Highest 10 percent
b. Middle 50 percent
c. Highest 80 percent
d. Lowest 10 percent
Answer:
a. Above 337.8 grams.
b. Between 318.25 grams and 331.75 grams.
c. Above 316.59 grams.
d. Below 312.2 grams
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 325 grams and a standard deviation of 10 grams.
This means that [tex]\mu = 325, \sigma = 10[/tex]
a. Highest 10 percent
This is X when Z has a pvalue of 1 - 0.1 = 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 10*1.28[/tex]
[tex]X = 337.8[/tex]
So 337.8 grams.
b. Middle 50 percent
Between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile.
25th percentile:
X when Z has a pvalue of 0.25, so X when Z = -0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.675*10[/tex]
[tex]X = 318.25[/tex]
75th percentile:
X when Z has a pvalue of 0.75, so X when Z = 0.675.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = 0.675*10[/tex]
[tex]X = 331.75[/tex]
Between 318.25 grams and 331.75 grams.
c. Highest 80 percent
Above the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.841.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.841 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -0.841*10[/tex]
[tex]X = 316.59[/tex]
Above 316.59 grams.
d. Lowest 10 percent
Below the 10th percentile, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 325}{10}[/tex]
[tex]X - 325 = -1.28*10[/tex]
[tex]X = 312.2[/tex]
Below 312.2 grams
What is the measure of n?
m
n
44
11
n
=
[?]
Enter
please help me i’ll give u brainliest rn
Answer:22
Step-by-step explanation:
First, rewrite
7/9 and 16/21
so that they have a common denominator.
sin B=
a over b
b over a
a over c
b over c
Sin B = b / c
Thus the correct answer is the last option.
( b over c )
A sports marketing company is interested in how many hours teenagers in a town spend watching sports. They randomly select 40 teenagers in this town and ask how many hours per week they spend watching sports. The mean amount is 6.25 hours with a standard deviation of 4.33 hours. Which of the following is the 90% confidence interval for the true mean amount of time teenagers from this town watch sports?
Find the t-table here.
(4.396, 8.104)
(4.865, 7.635)
(5.097, 7.404)
(5.245, 7.256)
Answer:
(5.097, 7.404)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.6849
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.6849\frac{4.33}{\sqrt{40}} = 1.154[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 6.25 - 1.154 = 5.096 hours
The upper end of the interval is the sample mean added to M. So it is 6.25 + 1.154 = 7.404 hours.
The answer is (5.097, 7.404)
HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?
Answer:
The answer is 110 miles
Step-by-step explanation:
make me the brainliest plz
Can anyone please answer the probability questions?
Step-by-step explanation:
Answer 1 - the probability of getting miss a turn is 1/5 because there is only one chance of getting miss a turn out of 5......
I hope it helps.....
You and your friend are selling magazine subscriptions. You sell 8 fewer magazine subscriptions than your friend. Together you sell 42 magazine subscriptions. a. Write a system of linear equations that represent the situation.
b. How many magazine subscriptions did you sell?
c. How many magazine subscriptions did your friend sell.
Answer:
b. you sold 17
c. your friend sold 25
Step-by-step explanation:
you=y your friend=x
y=x-8
42=x +y
42=x+(x-8)
42=x+x-8
42=2x-8
50=2x
25=x
Use x to solve for y...
y=25-8
y=17
Which of the following values of f are solutions to the inequality below?
Select all that apply.
f≥ -5
Answer:
-4
Step-by-step explanation:
4. Which number has the smallest value?
O s
Os
O
Os
w
O s
Step-by-step explanation:
The first fraction has the smallest value
Can someone please help me? I need someone to answer and explain, I’ll reward points + brainalist (btw only need help with 13)
Answer: 5982
Step-by-step explanation:
The area of the rectangle is L*w so 100*50= 5000
the area of the semi-circle on top is
[tex]\frac{1}{2} \pi r^{2} \\\frac{1}{2} \pi 2^{2} \\\frac{1}{2} \pi 625\\\frac{1}{2} (1963.50)\\= 981.75[/tex]
Total area is 5000+981.75= 5981.75
round up to 5982
Answer al 4 question and I’ll give your Brainly
Answer:
C-C-B-D
Step-by-step explanation:
Hope this helps and look out for people trying to take your points!
You're the bus driver the bus driver pick up 50 kids and then drops off 25 how old is the bus driver???
Answer:
25
Step-by-step explanation:
25
Well the amount of kids on the bus is 25 left but I don't know how old the buss drivers is
I will vote Brainliest to whoever gets it right.
(It's not 2)
4 = a - 6
Answer:
its 10
Step-by-step explanation:
add the numbers, 4 and 6 where you'll get 10
I need help plz WILL GIVE BRAINLIEST
Answer: 7 miles
Step-by-step explanation:
The points for Tom's house (4, 2) and the store (-3, 2) are on the same level; they are on the same horizontal line 2 units above the x-axis.
The distance between the points is therefor the difference between the x coordinates.
4 - (-3) = 7
You can also just count the spaces between the points!
There are 230 calories in 4 ounces of ice cream. How many calories are in 6 ounces of that ice cream?
Answer:
345 calories
Step-by-step explanation:
The easiest way to do this is to find out how many calories there are for 1 ounce. So 230 divided by 4, equals 57.5. So if 57.5 calories are in one ounce, then you just multiply by 6 to get your answer.
57.5 x 6 = 345 calories
One number is 4 less than a second number. Twice the second number is 13 less than 5 times the first. Find the two numbers.
Answer:
7 , 11
Step-by-step explanation:
Let the second number be 'x'
the first number = x - 4
Twice the second number : 2*x = 2x
5times first = 5*(x -4) = 5*x - 5*4 = 5x - 20
13 less than 5 times the first = 5x - 20 - 13 = 5x - 33
5x - 33 = 2x
Add 33 to both sides
5x - 33 + 33 = 2x +33
5x = 2x + 33
Subtract '2x'from both sides
5x - 2x = 2x - 2x + 33
3x = 33
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{33}{3}[/tex]
x = 11
First number = x - 4 = 11 - 4 = 7
The numbers are 7 , 11
For what values of b will F(x) = logbx be a decreasing function?
Answer:
It is a decreasing function for 0 < b < 1.
Step-by-step explanation:
Logarithm function:
The logarithm function is given by:
[tex]F(x) = \log_{b}{(x)}[/tex]
The base b determines if the function increases or decreases.
For 0 < b < 1, the function decreases.
For b > 1, the function increases.
In this question:
By the definition above, it is a decreasing function for 0 < b < 1.
What is the solution to the equation shown on the number line?
Answer:
B
Step-by-step explanation:
x-4=18
+4 +4
x=22
Answer:
22
Step-by-step explanation:
X-4 =18
So now we have to find a number on the line which 4 is deducted from you can get 18 as the answer
So 22-4 = 18
from 2005 to 2015, a population of lions decreased by 2% annualy. there were 1500 of this population of likns in 2005. how many lions wew left by 2015
Answer:
30
Step-by-step explanation:
I think that's the answer but if I'm wrong tell me right away I'll try another method.
The seventh-grade class supplied bags of snacks and beverages for the school dance. They supplied 50 more beverages than bags of snacks. The dance was supplied with a total of 400 items. How many of each were supplied.
A) Define the variables.
B) Write a systems of equations for the situation.
C) Graph the system.
Answer:
C
Step-by-step explanation:
Hope this help and have a nice day
Suppose a caravan (5 cars) travels 100 km, beginning in front of one tollbooth, passing through a second tollbooth, and nishing just after a third tollbooth. The distance between two tollbooths is 50 km. Each car takes 12 sec to serve. The tollbooth starts to serve the caravan when the entire caravan is lined up. The caravan can only dispatch a tollbooth after all cars in the caravan are served. What is the end-to-end delay (from when the caravan is lined up before 1st tollbooth till the caravan is served by the 3rd tollbooth)
Answer:
1 hr 2 min 30 secs
Step-by-step explanation:
Assume Propagation speed = 100 km/hr
number of cars = 5
distance between booths = 50 km
Total distance = 100 km
take taken to serve each car = 12 secs
Determine the end to end delay
first calculate the propagation delay = Total distance / propagation speed
= 100 / 100 = 1 hr
next calculate : Time taken to serve 5 cars in each Tollbooth
= 5 * 12 secs = 60 secs
Next calculate : transmission delay ( time taken by three tollbooth to reach 5 cars )
= 60 secs * 3 = 180 secs = 2 min 30 secs
therefore end-end delay
= propagation delay + transmission delay
= 1 hr 2 min 30 secs
helppp i’ll give brainlest
Answer:
16square ft
Step-by-step explanation:
2x2+2x3x1/2x4=16 square ft
Area of base: 2x2
Area of one side of the triangular prism: 1/2xbasexheight=1/2 x2x3
6. The octopus was swimming 3 feet below the surface. If the octopus swam up 3
feet? Represent the octopus location using an integer.*
Answer:
Octopus Location: 0
Step-by-step explanation:
If the octopus was swimming 3 ft below the surface, it's considered -3.
The octopus then swam up 3 feet, so we add 3 to the -3 from the previous statement.
-3 + 3 = 0
a motorbike has been marked down by 38% to $130000.what is the original price?
Answer:
49400
Step-by-step explanation:
Answer:
so 38 % of 130000 = 49,400
so now after loss it's original price will be 130000-49400(38%)
=$800600
Find the coordinates of point P witch cuts line segment AB into two parts with a ratio of 3:8
point a : (-15,18) POint B (7,7)
Answer:
Step-by-step explanation:
So we'll take the ratio of 3:8 to mean 3 to 8 , which is 11 total parts.
since we know that part, and we can see that the x coordinate goes from -15 to 7, which is a total of 22 and that y goes from 18 to 7, which is a total of 11 then we know that we can just break up each into their 3:8 ratios
3:8=11 for the y component
6:16=22 for the x component
so subtract 3 from the B point for the y or add 3 to the A point , either works here, Let's go from B so y = 10 (7+3) and x = 1 (7-6)
So a point at (1,10) will be on the line and at a ratio of 3:8 :)
PLZ HELP WILL MARK BRAINLEST
A cylinder has a height of 8 feet and a volume of 628 cubic feet. Find the radius of the cylinder. Use 3.14 for π. Show your work. equation v= 3.14 ( ) ( ) ( )
Answer:
5ft
Step-by-step explanation:
r = √v/πh
plug in known values
r= √628/ (3.14) 8
simplify
r= √628/ 25.12
r= √25
r = 5ft
what’s the area of this triangle
8m
62°
12m
Answer:
So i got 208 but to the nearest tenth will be 210 hope it helps
Step-by-step explanation: