This question is incomplete, the complete question is;
Condé Nast Traveler conducts an annual survey in which readers rate their favorite cruise ship. All ships are rated on a 100-point scale, with higher values indicating better service.
A sample of 37 ships that carry fewer than 500 passengers resulted in an average rating of 85.36, and a sample of 44 ships that carry 500 or more passengers provided an average rating of 81.40.
Assume that the population standard deviation is 4.55 for ships that carry fewer than 500 passengers and 3.97 for ships that carry 500 or more passengers. What is the value of the test statistic? Round your all answers to two decimal places.
Answer:
value of the test statistic is 4.13
Step-by-step explanation:
Given the data in the question;
fewer than 500 passengers more than 500 passengers
n₁ = 37 n₂ = 44
x'₁ = 85.36 x'₂ = 81.40
s₁ = 4.55 s₂ = 3.97
Now, to get the test statistics, we use the following formula;
z = (x'₁ - x'₂) / √( [tex]\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2}[/tex] )
we substitute
z = ( 85.36 - 81.40 ) / √( [tex]\frac{(4.55)^2}{37} + \frac{(3.97)^2}{44}[/tex] )
z = 3.96 / √( [tex]\frac{20.7025}{37} + \frac{15.7609}{44}[/tex] )
z = 3.96 / √( 0.5595 + 0.3582 )
z = 3.96 / √0.9177
z = 3.96 / 0.957966596
z = 4.1337 ≈ 4.13
Therefore, value of the test statistic is 4.13
Perform the operation and, if possible, simplify
21/20 - 4/15
Answer:
47/60
Step-by-step explanation:
Find the LCM and multiply to get there.
LCM is 60
63/60-16/60
47/60
Choose the graphs that indicate equations with no solution
Answer:
A and E
Step-by-step explanation:
Given
Graphs A to E
Required
Which do not have solutions
When there are no point of intersection between lines and/or curves of a graph, then such graph has no solution.
Using the above description as a yard stick, the first (A) and the last (E) graph have no solution.
According to ADA guidelines, at most, an incline can be 8.5°. Is the following incline acceptable? If yes, prove it. If not, explain why and change one dimension in the design so that it would be.
Answer:
Let the angle is x.
We have:
tan x = 15/90tan x = 1/6x = arctan (1/6)x ≈ 9.5°Since 9.5° > 8.5° it is not acceptable.
If the angle is 8.5° and the height is x, then we have:
tan 8.5° = x / 90x = 90 tan 8.5°x = 13.45 ftThe height is at most 13.45 ft
sample of one hundred seventy-eight students were surveyed one week prior to the election for student body president
egarding their choice of three candidates. The table below shows the results of the survey.
A
B
С
Candidates
Votes
67
57
54
Use the information above. There are 1571 students in the school. According to the survey, about how many votes can
candidate A expect to recieve?
Answer:
592 Votes
Step-by-step explanation:
According to the Question,
Given That, a sample of 178 students was surveyed one week prior to the election for student body president Regarding their choice of three candidates.The table below shows the results of the survey.A B С
Candidates Votes 67 57 54
And, There are 1571 students in the school.
So, The Total votes can candidate 'A' expect to Receive is⇒(1571/178)×67
⇒591.33 ≈ 592 Votes(Approximately)
Kyle volunteered 5.5 hours at the library this week. He needs to volunteer a total of 12 hours. Which equation can be used to find the number of hours, h, Kyle still needs to volunteer this week?
someone please help me answer this
Answer:
77.91 units²
or
77.91 square units
Step-by-step explanation:
the area of a circle is A=pi*r²
since we only need a certain fraction, we will multiply it with 62/360
62° is the given angle. 360° would be the full circle
A = pi * 12² * 62/360
note that the answer is in square units, bc in "r²" the units themselves get squared, even tough we don't know if its inch or kilometers, its definitely squared
Find the measurement of angle b.
Answer:
b = 55
Step-by-step explanation:
The two angles add to 90 degrees
b+35 = 90
Subtract 35 from each side
b +35-35 = 90-35
b = 55
Answer:
90-35=55
Answer is D
Step-by-step explanation:
As evident, the line is bisecting the right angle. One side of the bisection is given as 35. Thus by deduction:
90-35=b
90-35=55
55=b
When factored completely, the expression 6x3 – 5x2 – 13x + 12 is
equivalent to
a. (2 – 1)(2x - 3)(3x + 4)
b. (x + 1)(2x + 3)(3x + 4)
c. (x + 1)(2x − 3)(3x – 4)
d. (x - 1)(2x + 3)(3x – 4)
Answer:
d. (x - 1)(2x + 3)(3x - 4)
Step-by-step explanation:
6x³ - 5x² - 13x + 12
6x³ + x² - 12x - 6x² - x + 12
x(6x² + x - 12) - 1(6x² + x - 12)
(x - 1)(6x² + x - 12)
(x - 1)(6x² + 9x - 8x - 12)
(x - 1)(3x(2x + 3) - 4(2x + 3))
(x - 1)(2x - 3)(3x - 4)
Answer:
( x - 1 )( 2x + 3 )( 3x - 4 )
Step-by-step explanation:
Hope this helps!
In 1992, the moose population in a park was measured to be 4600. By 1998, the population was measured again to be 4240. If the population continues to change linearly
1.Find a formula for the moose population, P , in terms of t, the years since 1990.
2.What does your model predict the moose population to be in 2009?
Answer:
P(t) = - 60t + 4720
3580
Step-by-step explanation:
Given :
m = (y2 - y1)/(x2 - x1)
m = (4250 - 4600) / (8 - 2)
m = - 360 / 6
m = - 60
Using the point slope relation :
y - y1 = m(x - x1)
y - 4600 = - 60(x - 2)
y - 4600 = - 60x + 120
y - 4600 + 4600 = - 60x + 120 + 4600
y = - 60x + 4720
P(t) = - 60t + 4720
To predict population in 2009 :
2009 - 1990 = 19 years
Put t = 19
P(19) = - 60(19) + 4720
P(19) = - 1140 + 4720
P(19) = 3580
The numbers 1-11 are placed in a bag. What is the probability of drawing a prime number?
Answer:
1 3 5 7 11 are all prime numbers and out of 11 numbers, 5 are prime so 5/11
Step-by-step explanation:
Give me brainiest answer please! :D
i need help please!!!!!!
Answer:
THE ABSWER IS OPTIOM 1 AINCE ITS BEE SIMPLE AND IR CAN BE MORE IF U CAN TRY BUT U DONT NEED TK
Answer:
Step-by-step explanation:
Helpppp quiccckkkkkm
Answer:
a) G
b) C
Step-by-step explanation:
Triangle A is congruent to triangle G
Triangle D is congruent to Triangle C
The mass of a dime is about 0.002268 kg. Which is the best estimate of the mass?
A 2 x 10-3
B 2 x 10-2
C 2 x 102
D 2 x 103
Answer:
A.
[tex] = > \: 2 \times {10}^{ - 3} [/tex]
Solve the equation x - 15 = 42.
X=______
Answer:
[tex]x - 15 = 42 \\ x = 57[/tex]
Answer:
x = 57
Step-by-step explanation:
x - 15 = 42.
Add 15 to each side
x - 15+15 = 42+15
x = 57
Determine whether the following statement is always, sometimes, or never true.
If two pairs of corresponding sides of two right triangles are congruent, then the triangles are
congruent.
Answer:
this statement is true because then the triangles will be congruent by rhs axiom
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps.
How many foreign stamps does Malik have?
Answer:
answer in picture
c, b, d
Step-by-step explanation:
Find the circumference of the circle shown below if the diameter equals 20 inches. Use 3.14 for π
A)62.8
B)31.4
C)None of these answers
D)1,256
E)314
Answer:
62.8 inches
Step-by-step explanation:
c = πd
c = 3.14 * 20
c = 62.8 inches
is 2(9x) and 18x
Equivalent?
Explain why
Find the area of the figure shown
Area = ------- square yards
Answer:
70
Step-by-step explanation:
area = l×w×h
area= l×h
2l×2h
Which calculation correctly uses prime factorization to write V48 in simplest form?
A. 48 = V2 -2 -2 -2 - 3 = 2V12
B. 48 = 14 - 12 = 2/12
C. 48 = V2 -2 -2 -2 - 3 = 4V3
D. V48 = 16 - 3 = 4V3
Answer:
C
[tex] \sqrt{48} = \sqrt{2 \times 2 \times 2 \times 2 \times 3} \\ = \sqrt{16 \times 3} \\ = 4 \sqrt{3} [/tex]
The prime factorization to write [tex]\sqrt{48}[/tex] in the simplest form as
48 = V2 -2 -2 -2 - 3 = 4V3
What is Prime Factorization in Math?Prime factorization of any number indicates to express that number as a product of prime numbers. A prime number exists as a number that has precisely two factors, 1 and the number itself.
We require to express 48 as the product of its prime factors as 48.
= 2 [tex]\times[/tex] 3 [tex]\times[/tex] 2 [tex]\times[/tex] 2 [tex]\times[/tex] 2.
Therefore, [tex]$\sqrt{48}=\sqrt{ (2 \times 2 \times 2 \times 2 \times 2)}[/tex]
[tex]$=4 \sqrt{3}$[/tex]
[tex]$4 \sqrt{3}$[/tex] exists in the lowest radical form.
Therefore, the correct answer is option C. 48 = V2 -2 -2 -2 - 3 = 4V3.
To learn more about Prime Factorization
https://brainly.com/question/24612438
#SPJ2
jada makes sparkiling juice by mixing 2 cups of sparkiling water with every 3 cups of aplle juice.
how much sparkiling water does jada need if she uses 15 cups of apple juice?
solve the answer with a full explanation
Answer:
10 cups
Step-by-step explanation:
we can set up a proportion of cups of water over cups of apple juice
2/3 = w/15
if you cross-multiply you will get:
3w = 30
w = 30/3
w = 10
Marsha deposited $10,000 into a savings account 5 years ago. The simple interest rate is 3%.
much money did Marsha earn in interest
Answer:
She earned 1500 in interest
Step-by-step explanation:
10,000 × 0.03 × 5 = 1500
Your welcome :)
Suppose that for a typical FedEx package delivery, the cost of the shipment is a function of the weight of the package measured in ounces. You want to try to predict the cost of a typical shipment given package dimensions. If 10 packages in a city are sampled and the regression output is given below, what can we conclude about the slope of weight
Answer:
The answer is "Option 5"
Step-by-step explanation:
Please find the complete question in the attached file.
Throughout the above output the regression equation is:
Delivery cost [tex]=0.469\times weight +9.617[/tex]
Curtis threw 15 darts at a dartboard.40% of his darts hit the bulls eye. How many darts did not hit the bulls eye?
Answer:
9 did not hit the bulls eye
Step-by-step explanation:
If 40% did hit the bulls eye, 100-40 = 60% did not hit the bulls eye
15 * 60%
15 *.6
9
9 did not hit the bulls eye
Answer:
Therefore, 9 darts did not hit the bull's-eye.
Step-by-step explanation:
Equivalent ratio states that the two ratios are express the same relationship between numbers
As per the given statement: Curtis threw 15 darts at a dashboard.
40% of his darts hit the bull's eye
then;
60 % of his darts did not hit the bull's eyes.
By definition of equivalent ratio;
x/15= 600/100
Multiply both sides by 15 we have;
x= 60/100 *15= 60*15/100= 900/100= 9 Darts
|-2 + 5 | - |3 - 12| - 13=
Answer:
-19
3 - 9 - 13 = -19
Step-by-step explanation:
If 8 x - 4 = 6 - 3 x then x =
Answer:
4th option is correct
Step-by-step explanation:
[tex]8 x - 4 = 6 - 3 x[/tex]
[tex]8x−4+3x=6[/tex]
[tex]11x−4=6[/tex]
[tex]11x=6+4[/tex]
[tex]11x=10[/tex]
[tex]x = \frac{10}{11} [/tex]Hope it is helpful...Answer:
option 4 ,
x=10/11
is the answer of your question
explanation is attached below .
hope it is helpful to you
Need assistance in processing this equation?
A cylinder has a height of 12 inches and a radius of 1.5 inches. What is its voulme? Round your answer to the nearest tenth. Use 3.14 for TT.
Answer:
It's volume is of 84.78 cubic inches.
Step-by-step explanation:
Volume of a cylinder:
The volume of a cylinder with radius r and height h is given by:
[tex]V = \pi r^2h[/tex]
A cylinder has a height of 12 inches and a radius of 1.5 inches.
This means that [tex]h = 12, r = 1.5[/tex]
What is its volume?
[tex]V = \pi r^2h = 3.14(1.5)^2(12) = 84.78[/tex]
It's volume is of 84.78 cubic inches.
what is the integer of-2
Answer:
-2
Step-by-step explanation:
The integer of - 2 is - 2 only as integers can be positive and negative whole numbers
what digit could be in the ten millions place of a number that is greater than 70,000,000 but less than 100,000,000
Answer:
hiiiiiiiiiiiiiiiiiiiiiiiiiiii bro
