Answer:
A.) 0.2
B.) 3.2
C.) 0.4
D.) 0.5
Step-by-step explanation:
Arrival rate, λ = 8 per hour
Service rate, μ = 10 boats per hour
1.)
Probability that boat dock will be idle, P0:
P0 = 1 - λ/μ
P0 = 1 - 8/10
P0 = 1 - 0.8
P0 = 0.2
Average number of boats waiting for service :
Lq = λ² ÷ μ(μ - λ)
Lq = 8² ÷ 10(10- 8)
Lq = 64 ÷ 10(2)
Lq = 64 ÷ 20
Lq = 3.2
Average time spent waiting for service, Wq :
Wq = λ ÷ μ(μ - λ)
Wq = 8 ÷ 10(10- 8)
Wq = 8 ÷ 10(2)
Wq = 8 / 20
Wq = 0.4 hour
Wq = 0.4 * 60 = 24 minutes
Average time spent at the dock :
1 ÷ (μ - λ)
1 ÷ (10 - 8)
1 ÷ 2
= 0.5 hour
= 0.5 * 60 = 30 minutes
According to Wine-Searcher, wine critics generally use a wine-scoring scale to communicate their opinions on the relative quality of wines. Wine scores range from to , with a score of indicating a great wine, indicating an outstanding wine, indicating a very good wine, indicating a good wine, indicating a mediocre wine, and below indicating that the wine is not recommended. Random ratings of a pinot noir recently produced by a newly established vineyard in follow: Excel File: data07-11.xlsx 87 91 86 82 72 91 60 77 80 79 83 96 a. Develop a point estimate of mean wine score for this pinot noir (to decimals).
Answer:
[tex]\=x=82[/tex]
Step-by-step explanation:
From the question we are told that:
Data
[tex]\begin{center}\begin{tabular}{ |c|c|c|c|c|c| } 87& 91& 86& 82& 72&91 \\ 60& 77& 80& 79& 83&96 \end{tabular}\end{center}[/tex]
Generally the equation for Point estimate [tex]\=x[/tex] is mathematically given by
[tex]\=x=\frac{\sum_x}{n}[/tex]
[tex]\=x=\frac{87 +91+ 86+ 82 +72 +91+ 60+ 77 +80+ 79+ 83 +96}{12}[/tex]
[tex]\=x=\frac{984}{12}[/tex]
[tex]\=x=82[/tex]
Sarah uses a recipe to make 8 gallons of her favorite mixed-berry juice. The containers she plans to use to
store the juice have a capacity of 1 pint.
How many containers will Sarah need?
Sarah will need
containers
helppppppppppppppppp
Answer:
c = 2.9 yards
Step-by-step explanation:
2c = 42.4 - (18.3 x 2)
2c = 42.4 - 36.6
2c = 5.8
c = 5.8 / 2
c = 2.9 yards
Hope that helps! :)
Whats (1÷1/4) (3÷1/2) (1/4÷3)
Answer:
37
-----
56
Step-by-step explanation:
In Devon's school, the morning session runs for a total of 182 minutes. The morning session
includes 4 class periods of equal length and a homeroom period that lasts for 10 minutes.
Using the variable m to represent minutes, write an equation that can be used to find the
length of each class period. Then solve for m.
Answer:
Every class period is 43 minutes long.
Equation:
(m - 10) ÷ 4
One of Natalia's professors claims that 13% of the students at their college frequently wear hats. Natalia feels that the actual rate is much lower. She selects a random sample of 100 students at the college and finds that only 9 of them wear hats frequently. To determine if her data provide convincing evidence that the true proportion is less than 13%, she conducts 200 trials of a simulation. Natalia is testing the hypotheses. H o p = 13% and Ha p< 13%, where p = the true proportion of students at the college who frequently wear hats. Based on the results of the simulation, what is an estimate of the P-value of the test?
Answer:
0.005 or A
Step-by-step explanation:
EDGE2022
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Step-by-step explanation:
Given
[tex]W= Width\\ L = Length[/tex]
[tex]Area = 150[/tex]
[tex]W=2*L- 5[/tex]
Required
Determine the dimension
Area is calculated as:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W = 150[/tex]
Substitute: [tex]W=2*L- 5[/tex]
[tex]L * (2*L-5) = 150[/tex]
[tex]L * (2L-5) = 150[/tex]
Open bracket
[tex]2L^2 - 5L = 150[/tex]
Rewrite as:
[tex]2L^2 - 5L - 150=0[/tex]
Expand
[tex]2L^2 -20L + 15L - 150 = 0[/tex]
Factorize:
[tex]2L(L -10) + 15(L - 10) = 0[/tex]
[tex](2L + 15) (L - 10) = 0[/tex]
Split
[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]
Solve for L
[tex]2L =-15[/tex] or [tex]L = 10[/tex]
L cannot be negative
So:
[tex]L = 10[/tex]
Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]
[tex]W = 2 * 10 - 5[/tex]
[tex]W = 20 - 5[/tex]
[tex]W = 15[/tex]
Hence:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
middle school problems and i need help
Answer:
A. 47%
Step-by-step explanation:
The total amount of people who preferred indoor seating was 70. The total amount of people sureveyed was 148. So 70 divided by 148, or 70/148, is
0.47 =47%
PLEASE HELP IM TAKING THE TEST NOW AND I CANT FIGURE IT OUT PLEASE HELP!!!!!!!!!!!!!! Choose the function table that matches the given rule. (1 point)
Rule: output = input - 6
o
Input Output
5
-2
3
-6
0
-6
O Input Output
- 7
-13
-2
-8
6
0
Input
Output
9
3
-6
2
6
0
Input
Output
-2.
-8
2
8
5
-3
Answer:
what's
Step-by-step explanation:
the test
∠a and ∠b are complementary angles. ∠a measures 22°.
what is the measure of ∠b?
Answer:
∠b = 68°
Step-by-step explanation:
Complementary angles are a pair of angles that, added together, equal 90°.
If ∠a = 22°, then the measure of∠b must equal 90° when added to that of ∠a.
To find the measure of ∠b, then, we can subtract ∠a from 90°.
90 - 22 = 68
The measure of ∠b, then, is 68°.
I hope this is helpful ^^
Good luck
On the unit circle, the m∠θ = π radians. Which is the coordinate?
Suppose that each observation in a random sample of 100 fatal bicycle accidents in 2015 was classified according to the day of the week on which the accident occurred. Data consistent with information on the Insurance Institute for Highway Safety are given in the following table.
Day of the Week Frequency
Sunday 16
Monday 12
Tuesday 12
Wednesday 13
Thursday 14
Friday 15
Saturday 18
a. Based on these data, is it reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was not the same for all days of the week? Use a significance level of 0.05.
b. Write interpretation
Answer:
The calculated χ² = 0.57 does not fall in the critical region χ² ≥ 12.59 so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: proportion of fatal bicycle accidents in 2015 was the same for all days of the week
against the claim
Ha: proportion of fatal bicycle accidents in 2015 was not the same for all days of the week
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (ni - npi)²/ npi
which has an approximate chi square distribution with ( n-1)=7-1= 6 d.f
4) The critical region is χ² ≥ χ² (0.05)6 = 12.59
5) Calculations:
χ²= ∑ (16- 14.28)²/14.28 + (12- 14.28)²/14.28 + (12- 14.28)²/14.28 + (13- 14.28)²/14.28 + (14- 14.28)²/14.28 + (15- 14.28)²/14.28 + (18- 14.28)²/14.28
χ²= 1/14.28 [ 2.938+ 5.1984 +5.1984+1.6384+0.0784 +1.6384+13.84]
χ²= 1/14.28[8.1364]
χ²= 0.569= 0.57
6) Conclusion:
The calculated χ² = 0.57 does not fall in the critical region χ² ≥ 12.59 so we fail to reject the null hypothesis and conclude the proportion of fatal bicycle accidents in 2015 was the same for all days of the week.
b. It is reasonable to conclude that the proportion of fatal bicycle accidents in 2015 was the same for all days of the week
Please help me i dont understand
Answer:
It is linear. It is linear because it is a strait line which means that it is a function. A not linear line would look like a noodle.
According to a health statistics center, the mean weight of a 20-to-29-year-old female is 156.5 pounds, with a standard deviation of 51.2 pounds. The mean weight of a 20-to-29-year-old male is 183.4 pounds, with a standard deviation of 40.0 pounds. Who is relatively heavier: a 20-to-29-year-old female who weighs 160 pounds or a 20-to-29-year-old male who weighs 185 pounds
mind fact sub happy wala birthday quiz frist video
PLEASE HELP I NEED THIS TO PASS
Answer:
Step-by-step explanation:
total sum of Triangle's angles is 180 deg:
than: x = 180 -61-56 = 63
Answer:
63 degrees
Step-by-step explanation:
All three angles in a triangle is always 180, so 180-61-56=63 degrees
Please mark Brainliest.
Have a great weekend!
A new car is purchased for $26,000 and over time its value depreciates by one half
every 5 years. What is the value of the car 7 years after it was purchased, to the
nearest hundred dollars?
Answer: $203
Step-by-step explanation: We first start out with the exponential decay model which is y=a(1-r)^t, then plug in the numbers of your problem:
-y=26,000(1-0.50)^7
-y=26,000*0.50^7
-y=26,000*0.0078125
-y=203.125
Then, after rounding to the nearest hundred dollars you get your answer....
:) hope this helped a bit
The value of the car 7 years after it was purchased will be $203.
What is exponential decay?A quantity lowers gradually at first during exponential decay before rapidly declining after that. Half-life may be calculated using the exponential decay formula, which is also used to estimate population decrease.
It is given that, A brand-new car costs $26,000 to buy, and every five years, its value decreases by 50%.
We have to find the value of the car 7 years after it was purchased
The exponential decay model, y=a(1-r)t, is where we begin. The data from your problem are then entered.
y=-26,000(1-0.50)^7
y=-26,000*0.50^7
y=-26,000*0.0078125
y=-203.125 (-ve shows the value is declining)
Thus, the car will be worth $203 seven years after it was bought.
Learn more about the exponential decay here:
brainly.com/question/14355665
#SPJ2
Enter an algebraic expression that represents fifteen less than the sum of y cubed and seven.
Answer:
y^3 + 7 - 15
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
Answer:
6t=9? let me know if that's correct x
Step-by-step explanation:
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
What is the area, in square meters, of the shape below?
Answer:
20.9 i think
Step-by-step explanation:
Answer:
10.45
Step-by-step explanation:
h=3.8
b-5.5
5.5 multiply 3.8 =20.9
this is a triangle so divide 20.9 by 2
=10.45
Study the graphs, then select the best answers from the drop-down menus.
The greatest number of people immigrated during the
westward expansion
.
During the Progressive Era, most immigrants came from
.
During the
, there was a peak of about 800,000 immigrants coming to the United States.
1. b 2. a 3. a
100% correct edge 2021
Step-by-step explanation:
Answer:
1:✔ post-1965 immigration
2:✔ Southern and Eastern Europe
3: ✔ immigration pause
Step-by-step explanation:The other person is correct as well ou should give the brainiest.
Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *
Answer:
45
Step-by-step explanation:
Please help me solve this problem
Answer:
62 + 64 + 55 + s = 242
61 students will ride Bus #4.
Step-by-step explanation:
The equation I will use here is 62 + 64 + 55 + s = 242
62 + 64 + 55 + s = 242 {Going from left to right, subtract 62, 64, & 55 from 242}
64 + 55 + s = 180 {242 - 62 = 180}
55 + s = 116 {180 - 64 = 116}
s = 61 {116 - 55 = 61}
61 students will ride Bus #4.
Find the area of the figure.
(20 pts)
Answer:
d. 122 units^2
Step-by-step explanation:
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
Answer:
Please provide the statements.
Step-by-step explanation:
Answer:
the equation has one anser
Step-by-step explanation:
Size of each of mr sirac's classes
Answer:
You didn't add any images maybe it was a mistake?
Step-by-step explanation:
I need help with this qusetion
Answer:
Its A
Step-by-step explanation:
Answer:
D. Divide 151 by 479
Step-by-step explanation:
What is the approximate length?
9514 1404 393
Answer:
(a) 75.5
Step-by-step explanation:
There are two ways you can work this.
Pythagorean theorem
Triangle CMP is a right triangle. CM = AC = 55. CP = CB -PB = 55 -15 = 40. Then length PM can be found from ...
PM² +CP² = CM²
PM = √(CM² -CP²) = √(55² -40²) = √1425 ≈ 37.749
The length MN is twice the length of PM, so is ...
MN = 2×PM = 2×37.349 = 75.498
The length of MN is about 75.5.
__
Using chord relationships
The products of the different lengths for the same chord are the same for the crossed chords.
AP×PB = MP×PN
We know MP = PN, so ...
MP = √(AP×PB) = √((55+40)(15)) = √1425
As before, MN = 2×MP = 2√1425
MN ≈ 75.5
Solve by completing the square:
x^2 + 3x - 9 = 0
Answer:
Step-by-step explanation:
x^2 + 3x - 9 =0
By comparing with the equation ax^2+bx+c = 0,
we get,
a = 1, b=3, c = -9
we know the formula for x is,
x = (-b±√(b^2 - 4ac))/2a
x = (-3±√45)/2
x = (-3±3√5)/2
x = (-3+3√5)/2, (-3-3√5)/2
Answer:
2 solutions. x = -3/2 + 3/2 * sqrt(5) and x = -3/2 + -3/2 * sqrt(5)
Step-by-step explanation:
Let's solve your equation step by step.x^2 + 3x −9 = 0
For this equation: a=1, b=3, c=-9
1x^2 + 3x+ −9 = 0
Step 1: Use quadratic formula with a=1, b=3, c=-9.
x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/2a
x = (-3 ± [tex]\sqrt{3^2 - 4(1)(-9)}[/tex])/2a
x = (-3 ± [tex]\sqrt{45}[/tex])/2
x = -3/2 + 3/2 * sqrt(5) or x = -3/2 + -3/2 * sqrt(5)
What is the volume of this rectangular prism 2/3cm 5cm 6cm?