Answers
Answer:
A = 0.65
B = 3.304
C = 6.07
Step-by-step explanation:
You have to subtract to the final result the initial one and divide it for the number of segments. Then, for every segment you add the number you found, for example:
Value of a segment:
[tex] \frac{1 - 0.5}{10} = 0.05[/tex]
Value of A:
[tex]0.5 + 3 \times 0.05 = 0.65[/tex]
Related Questions
The owner of a (soon to be out of business) restaurant find that an average of 2.3
customers arrive to eat every hour. Find the probability that in any randomly
selected hour, the following number of customers arrive.
a. 0 ______ b. 2 ______ c. 4 ______
Answers
Answer:
SteGiven Information:
Average customer arrival = λ =2.3 customers/hour
Average consultant time1 = μ = 8 minutes/customer
Average consultant time2 = μ = 10 minutes/customer
Cost of consultants service = $16
Cost of customer waiting time = $25
Required Information:
Use one consultant with an average service time of 8 minutes/customer or use two consultants, each with average service time of 10 minutes/customer ?
Answer:
it is recommended to use one consultant with an average service time of 8 minutes/customer.
Step-by-step explanation:
Convert the average consultant time to hours/customer
Average consultant time1 = μ = 60/8 = 7.5 hours/customer
Average consultant time2 = μ = 60/10 = 6 hours/customer
Single consultant queuing model:
Calculations for one consultant
Average no. of customers waiting for service = Lq = λ²/μ(μ-λ)
Average no. of customers waiting for service = Lq = (2.3)²/7.5(7.5 - 2.5)
Average no. of customers waiting for service = Lq = 0.1356
Average no. of customers in the system = L = Lq + λ/μ
Average no. of customers in the system = L = 0.1356 + 2.3/7.5
Average no. of customers in the system = L = 0.442
Total cost = (customer waiting time cost)*L + consultant service cost
Total cost = $25*0.442 + $16
Total cost = $27.05
Multi consultant queuing model:
Calculations for two consultants
Average no. of customers waiting for service = Lq = ((λ/μ)^k(λμ)/(k -1)(kμ - λ))*P₀
Where k = 2 is the number of consultants and P₀ is the probability that all of the k consultants are idle. The value of P₀ can be found in the tables with λ/μ = 2.3/6 = 0.38 and k = 2, P₀ ≅ 0.685
Average no. of customers waiting for service = Lq = (2.3/6)²(2.3*6)/(2-1)(2*6 - 2.3)*0.685
Average no. of customers waiting for service = Lq = 0.1431
Average no. of customers in the system = L = Lq + λ/μ
Average no. of customers in the system = L = 0.1431 + 2.3/6
Average no. of customers in the system = L = 0.5264
Total cost = (customer waiting time cost)*L + consultant service cost
Total cost = $25*0.5264 + ($16)*2 (since there are 2 consultants now)
Total cost = $45.16
Conclusion:
Therefore, it is recommended to use one consultant with an average service time of 8 minutes per customer since the total cost is less than the other option.p-by-step explanation:
Which numbers are 0.6 units away from 1.3 on a number line
Answers
1.9 and 0.7 because you have to add 0.6 and 1.3 to get one of the numbers and you have to subtract 0.6 from 1.3 to get the other number
PLEASEEE HELP
Questions 4 and 5
Answers
Answer:
Given and explained below.question 4
using sine rule:
[tex]\sf sinx = \frac{opp}{hyp}[/tex]
[tex]\sf sinx = \frac{11}{13}[/tex]
[tex]\sf x = sin^{-1}(\frac{11}{13} )[/tex]
[tex]\sf x = 57.8[/tex]
question 5
using cosine rule:
[tex]\sf cosx =\frac{adj}{hyp}[/tex]
[tex]\sf cos(31) =\frac{x}{17}[/tex]
[tex]\sf cos(31)*17 =x[/tex]
[tex]\sf x = 14.6[/tex]
[tex]\\ \rm\hookrightarrow sinx=11/13[/tex]
[tex]\\ \rm\hookrightarrow sinx=0.8[/tex]
[tex]\\ \rm\hookrightarrow x=sin^{-1}(0.8)[/tex]
[tex]\\ \rm\hookrightarrow x=53°[/tex]
#5
[tex]\\ \rm\hookrightarrow sin31=x/17[/tex]
[tex]\\ \rm\hookrightarrow x=sin31(17)[/tex]
[tex]\\ \rm\hookrightarrow x=0.5(17)[/tex]
[tex]\\ \rm\hookrightarrow x=8.5[/tex]
Ms. Joseph made 60 cookies to sell to aliens. She sold 2 3 of them and gave 3 4 of the remaining cookies to the students working at the sale. How many cookies does she have left?
Answers
Answer:
5
Step-by-step explanation:
2/3 * 60 = 40
60-40 = 20(how many she had after selling them)
3/4 * 20 = 15
20-15=5(how many she had left)
HOPE THIS HELPS!!!
Matthew has 3 1/4 gallons of lemonade. He sells 4/8 of the lemonade. How many gallons of lemonade does Matthew have left?
Answers
Answer:
He has 7 ¾ gallons of lemonade left
If a coin is tossed 4 times, and then a standard six-sided die is rolled 4 times, and finally a group of three cards are drawn from a standard deck of 52 cards without replacement, how many different outcomes are possible?
Answers
Answer:
89,820,057,600.
Step-by-step explanation:
For the number of ways 5 cards can be taken from a standard 52 card deck, there are 52 choices for the first card. After the first card is chosen, there are 51 choices remaining for the second card. Following this pattern, you will the total number of ways the 5 cards can be chosen being 52 x 51 x 50 x 49 x 48 = 311,875,200. Or, you can also use the permutation of 52 cards taken 5 at a time which is 52!/(52 – 5)! = 311,875,200.
Hence, the total number of outcomes for all the above is 8 x 36 x 311,875,200 = 89,820,057,600.
The average lifespan of a tiger is 17 years. This 3 years less than the average lifespan of a lion.
A.) Write a let statement to define your variable
B.) Write and solve an equation to find the average lifespan of a lion.
Answers
Hi There!
Let the average lifespan of a tiger be t, and let the average lifespan of a lion be l.
Now, write the equation:
We know that t=17, and l = 17-3
Write the equation:
l=17-3
Solve:
l=14 (Average lifespan of a lion)
And we're done!
Hope it helps.
Have an awesome day!
[tex]\huge\text{TheStarryNights :D}[/tex]
How does f(x)=2x3^x change over the interval form x=5 to x=6
Answers
Replace x. Solve then find the scale.
2 x 3^5 = 486
2 x 3 ^6 = 1,458
scale = 1458/486 = 3
answer: f(x) increases by a factor of 3
5.275 to 2 decimal places
Answers
Answer:
5.29
..................................
Amelia needs to buy some dog food. At the nearest store,3 bags of dog food cost $8.25 how much would Amelia spend on 6 bags of dog food?
Answers
Answer:
$16.5
Step-by-step explanation:
Let one bag of dog food be x. 3x is equal to 8.25, and we are trying to figure out what 6x is. 6x is double 3x, so we need to double 8.25, which is 16.5.
Answer:
16.5
Step-by-step explanation:
8.25+8.25 =16.25 because 8.25 is 3 bags of food it says.
PLEASEEE HELP!!!!!!!!!THIS IS HARD I WILL GIVE BRAINLIEST!!
1.Select the best estimate for the diameter of a dinner plate.
A. 25 mm
B. 25 cm
C. 2,500 mm
D. 25 m
2.Select the best estimate for the diameter of a quarter.
A. 0.20 mm
B. 20 mm
C. 200 mm
D. 20 cm
3.Estimate the length of a sheet of notebook paper.
A. 24 mm
B. 2.4 cm
C. 24 cm
D. 2.4 mm
4.Choose the set of measurements listed in order from least to greatest.
A. 5 g, 5 g, 5 mg
B. 5 g, 5 mg, 5 kg
C. 5 mg, 5 g, 5 kg
D. 5 mg, 5 kg, 5 g
5.Choose the set of measurements listed in order from greatest to least.
A. 20 kl, 20 L, 20 ml
B. 20 L, 20 ml, 20 kl
C. 20 ml, 20 L, 20 kl
D. 20 ml, 20 kl, 20 L
6.Choose the best estimate for the capacity of a soup bowl.
A. 50 ml
B. 60 ml
C. 5 kl
D. 0.5 L
7.Estimate the length of a new, unsharpened pencil.
A. 18 mm
B. 8 cm
C. 18 cm
D. 8 m
8.Choose the best estimate for the capacity of a bath tub.
A. 5 ml
B. 500 ml
C. 50 cl
D. 500 L
9.Choose the best estimate for the mass of a raisin.
A. 0.2 g
B. 2 g
C. 20 g
D. 200 g
10.Choose the best estimate for the mass of an apple.
A. 25 g
B. 250 g
C. 1,000 g
D. 2,000 g
Answers
I'm no expert at this I looked up some of these so on some that don't feel right, PLS look them up.
Question 1.
A.
Question 2.
A.
Question 3.
B.
Question 4.
C.
Question 5.
A.
Question 6.
D.
Question 7
C.
Question 8
B.
Question 9.
A.
Question 10.
B.
The identity function on A, idA: A →A is defined by idA(a) = a.
1. (a) We defined a function as a relation with a particular property, thus
we can talk about properties of relations. Prove that if f : A →A
is reflexive, then f =idA.
(b) Prove that if f is symmetric then the function f^2 : A →A defined
by f^2(a) = f (f (a)) is the identity.
(c) Prove that if f is transitive then the function g : im(f) →im(f) given
by g(f (a)) = f (f (a)) is the identity on im(f) .
Answers
These are just sketches, you should polish them yourself. In analogy to relations, I will write aFb to mean the statement f(a) = b.
(a) aFa, so f(a) = a. This is the definition of the identity function.
(b) aFb => bFa, so f(a) = b and f(b) = a. Therefore f(f(a)) = a by substitution, and hence f^2 is the identity function.
(c) aFb and bFc => aFc. So f(f(a)) = c, and f(a) = c. Thus f(c) = c, which is the identity. Make sure you sort out the im(F) stuff when you clean this up.
Captain Salamander has a lazy time on the trip and spends about 15 hours a day sleeping. What fraction of the day does he spend awake?
Answers
Well there is 24 hours in a day so 24 - 15 = 9. So he spends 9 hours awake.
find the corrdinate of the dancers
Answers
Check the picture below.
please i need help with this question
Answers
Answer:
3.72
Step-by-step explanation:
If you do 1.2 x 3.1 you get 3.72
Ms.Rodriguez will conduct a survey at her school about students and
how best to complete make-up work. She will select a random
sample of students at the school to take the survey. Which survey
method should she use?
Answers
Answer: Choice C
This is conducting a simple random sample (SRS) which is often the most effective way to form a sample. The other methods have some kind of bias to them, which means the sample won't represent the population.
What is the area of a triangle with vertices at (−4, −6), (1, −6), and (1, 2)?
Answers
Answer:
20
Step-by-step explanation:
firstly let's find out the side lengths of the triangle using formula
[tex]length \: = \: \sqrt{(y₂-y1) + ( y₂-y1)}[/tex]
length of AB
[tex] \sqrt{( - 6 - 2) {}^{2} + ( - 4 - 1) {}^{2} } = \sqrt{89} [/tex]
length of AC
[tex] \sqrt{( - 6 - 2) {}^{2} + (1 - 1) {}^{2} } = 8[/tex]
length of BC
[tex] \sqrt{( - 6 - ( - 6)) {}^{2} + (1 - ( - 4)) {}^{2} } = 5[/tex]
Now we have all three side lengths:
a =√89 b = 8 and c = 5
using this formula to find the semi perimeter where a, b and c are the side lengths, input them in
[tex]s \: = \: \frac{a + b + c}{2} [/tex]
[tex]s = \frac{ \sqrt{89} + 8 + 5 }{2} = \frac{13 + \sqrt{89} } {2} [/tex]
Use heron's formula
[tex]area = \sqrt{s(s - a)(s - b)(s - c)} [/tex]
[tex]area = \sqrt{ \frac{13 + \sqrt{89} }{2}(\frac{13 + \sqrt{89} }{2} - \sqrt{89})( \frac{13 + \sqrt{89} }{2} - 8)(\frac{13 + \sqrt{89} }{2} - 5 } = 20[/tex]
area = 20
What is the perimeter of the triangle?
Answers
Answer:
48 in
Step-by-step explanation:
use Pythagorean Theorem to find x:
12²+16²=x²
144+256=x²
x²=400
x=20
12+16+20=48
QUESTION 7 The probability of winning a particular contest is 4%. What is the probability of not winning this contest? Use 2 decimal places in your answer.
Answers
Randy and fred were the only two candidates for class president. Randy received 7\15 of votes . What fraction of the votes did Fred get
Answers
Answer:
He got 8/15 of the votes.
Step-by-step explanation:
Hope this helps! :D
Answer: If there were only 2 candidates running for president and there were 15 votes in all but randy got 7 of them then its obvious fred got 8 because you can even just do the math:
7-15=8
or
8-15=7
ur answer is 8 or 8/15
Step-by-step explanation: hope his helps brainliest please
4. Cindy is designing a rectangular fountain in the middle of a courtyard. The rest of the courtyard will be covered in stone. The part of the courtyard that will be covered in stone has an area of 246 square feet. Show your work. b. What fraction of the courtyard will be occupied by the fountain?
Answers
Answer:
12 x 22 = 264 so that would be 264 - 246 = 18
The answer is 18 square feet.
Step-by-step explanation:
You'll need to simplify 18/264, then divide that number into 18/264 such as 18/264 divided by 2/2 or 3/3.
I hope I helped! ^-^
The figures below are similar. The labeled sides are corresponding.
7 in
8 in
P1 = 42 in
P2 = ?
What is the perimeter of the larger hexagon?
P2 =
inches
Answers
Answer:
Step-by-step explanation:
a hexogon is a six sided polygon so half of 42 is 21 plus 7 and 8 p2 might be 11 THIS MIGHT NOT BE CORECT I NEED A PITURE
How much do you pay for the house in total in the above example? Assume you will only be paying PMI for the first 2 years of the mortgage?
Answers
Answer:
start with your current mortgage balance. For a new mortgage, subtract your down payment from the home price. Calculate the LTV. Divide the loan amount by the property value.
Step-by-step explanation:
1/2 plus 1/6 find each sum.
Answers
Step-by-step explanation:
I hope this helps.......
Brainliest if correct
Answers
Answer:
-11u
Step-by-step explanation:
A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. Find [tex]P_{60}[/tex] , the score which separates the lower 60% from the top 40%.
Please explain!
Answers
Answer:
a = 200 + 0.253 * 50 = 212.65
So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.
Step-by-Step Explanation:
The normal distribution is a "probability distribution that is symmetric around the mean, demonstrating that data near the mean occur more frequently than data distant from the mean."
The Z-score is defined as "a numerical measurement used in statistics of a value's relationship to the mean (average) of a set of values, expressed in standard deviations from the mean."
Let X be the random variable that represents how a loan officer scores credit applications from a population, and we know that the distribution for X is provided by:
X ~ N (200,50)
Where u = 200 and o = 50
And the best way to solve this problem is using the normal standard distribution and the z score given by:
Z = x - u/o
For this part we want to find a value a, such that we satisfy this condition:
P (X > a) = 0.40 (a)
P (X<a) = 0.60 (b)
In this example, both conditions are equal.
The z value that meets the criterion with 0.60 of the area on the left and 0.40 of the area on the right is z=0.253, as shown in the attached figure. P(Z0.253)=0.60 and P(z>0.253)=0.4 in this scenario.
Using the prior condition (b), we get:
P (X < a) = P (X-u/a < a - u/o) = 0.6
P (Z < a-u/o) = 0.6
But we know which value of z satisfy the previous equation so then we can do this:
z = 0.253 < a -200/50
And if we solve for a we got
a = 200 + 0.253 * 50 = 212.65
So the value of height that separates the bottom 60% of data from the top 40% is 212.65. And rounded would be 212.7.
Use 3.14 for pi to estimate the area of a circle. The diameter is given. Round your answer to the nearest hundredth if necessary.
A. 51.12 m
B. 221.56 m
C. 448.25 m
D. 886.23
Answers
Answer:
B) 221 .56m
Step-by-step explanation:
This is it !
what grade are u in btw?
Enter your answer and show all the steps that you use to solve this problem and write your final answer in factored form.
Simplify: (9x^3 + 2x^2 - 5x + 4) - (5x^3 - 7x + 4)
Answers
Answer:
4x³ +2x² + 2x
Step-by-step explanation:
1- Determine the sign
2- Combine like terms
Find the area of parallelogram RSTU.
Answers
[tex]\huge\sf\blue{Solution:-}[/tex]
Here is a Parallelogram RSTU.
Given,
Height = 16.5 inches
Base = 15.3 inches
★Area of Parallelogram is = Base × Height
So, Area = 15.3 × 16.5 => 252.45 inches² or 252.5 inches²
________________________________________
Answer:
252.5
Step-by-step explanation:
{Be careful}
The area: [tex]15.3\times16.5\times\frac{1}{2}\times2[/tex]
[tex]=252.5[/tex] inches²
I hope this helps you
:)
Given the triangle ABC with points:
A - (1, 3)
B - (-2, 2)
C - (4, 0)
Rotate ABC 180 degrees clockwise about the origin and then translate the resulting triangle five units down. Determine the ordered pairs for A', B', and C'.
Answers
Rotating and translating the triangle are illustrations of transformations
The ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
How to transform the triangleThe coordinates of the pre-image of the triangle are:
A = (1, 3)
B = (-2, 2)
C = (4, 0)
When the triangle is rotated 180 degrees, the rule of transformation is:
(x,y)→(−x,−y)
So, we have:
A' = (-1, -3)
B' = (2, -2)
C' = (-4, 0)
When the triangle is translated 5 units down, the rule is:
(x,y)→(x,y-5)
So, we have:
A' = (-1, -8)
B' = (2, -7)
C' = (-4, -5)
Hence, the ordered pairs for A', B' and C' are (-1, -8), (2, -7) and (-4, -5)
Read more about transformation at:
https://brainly.com/question/4289712
