A private lake sells boating memberships and currently has 600 members. During the application process the potential members are asked which recreational activity they do the most. Their choices are fishing, skiing, boarding, swimming, or tubing. The lake manager chooses clients according to their interests to maximize the use of all areas of the lake. Every month, the lake rangers randomly sample the boats on the lake and categorize them according to the activity they are doing. The lake manager performs a chi-square goodness-of-fit test using the following null hypothesis to see whether their samples differ significantly from what the original applications claim.
H0:pfish=0.26,pski=0.21,pboard=0.30,pswim=0.12,ptube=0.11
In order to meet the conditions for independence and large counts for a chi-square goodness-of-fit test, which of the following represents all possible sizes of the monthly samples?
a. n≥30
b. 30≤n≤50
c. 46≤n≤60
d. n≥46
e. n≤60

Answers

Answer 1

Answer:

46 ≤ n ≤ 60   ( C )

Step-by-step explanation:

using the given null hypothesis to check if the samples differ from originally values

given that:  frequency ( f ) ≥ 5

N = 600

hence : n * 0.11 ≥ 5

therefore : n ≥ 45.45

next : also  n / N ≤ 0. 10

therefore: n  ≤  0.1 * 600

therefore all possible sizes will lie between  

46≤n≤60


Related Questions

Trend lines
The scatterplot below shows several data
points and an approximate trend line for
the data.
у
350
300
250
200
150
100
SO
D 200 400 600
1.
Which is the best estimate of the value
of x that corresponds to the y value of
325? (8.18, 8.1C, 8.1E, 8.1F)
A 175
B 700
C 625
D 125

Answers

The answer is D fasho fasho

Riley can afford to spend at most $50 on a birthday gift and wrapping. He has to spend $12 on the wrapping paper and card. What is the maximum amount Riley can spend on the birthday gift?


PART A: Write an inequality to represent the situation.


PART B: Solve AND GRAPH the inequality solution.

Answers

Answer:

Step-by-step explanation:Hello How Is Your Day

Fine the volume please

Answers

Answer:

212 m²

Step-by-step explanation:

4 x 4 x 5 = 80

6+6+50+30+40

Pencils 6 18 Erasers 2 will mark brainlest​

Answers

Answer:

this is your answer as it lies in a same ratio..

5/10+13/100
what is the value of the expression

Answers

Answer:

63/100

Step-by-step explanation:

Plss help this is timed!!

Answers

Answer:

8/35

Step-by-step explanation:

Answer:

8 7/20

Step-by-step explanation:

I'm not quite sure but I hope it will help you if I'm wrong tell me I'll try it again good day don't forget to tell me if I'm wrong.

Please help please please ASAP please please help please

Answers

Answer:

true

Step-by-step explanation:

the total surface area of a solid is the sum of all faces both the bottom (base) and the top

JUST THE SECOND ONE EASY PLS ASAP

Answers

Answer:

51

Step-by-step explanation:

Use an online calculator

i really can't figure this out

A slope

B x-intercept

C y-intercept

D none of the above ​

Answers

Answer:

A, slope

I am pretty sure it is the slope

Answer:

I think the answer is B (x-intercept)

Step-by-step explanation:

Have a nice day :)

Help help help help help

Answers

Answer: A person must be less than 3’6 because 42 inches=3’6 and > symbol indicates less than. Other answer is greater than.

A boat heads in the direction N 78° E. The speed of the boat relative to the water is 21 mi/h. The water is flowing directly south. It
is observed that the true direction of the boat is directly east. (Assume that the i vector points east, and the j vector points north.)
(a) Express the velocity of the boat relative to the water as a vector in component form. (Round your answer to one decimal
place.)
(20.5, 4.4)

Answers

Answer:

it is the vector

Step-by-step explanation:

In a classroom of 24 students, five-eighths of the students brought their lunch to school. How many of the students in the classroom does this represent?
(Explain how you got your answer please)

(1) 3
(2) 5
(3) 10
(4) 15
(5) 20

Answers

Answer:In my opinion 10 is the answer

hope it helps you

Which graphs are proportional?

A.
B.
C.
D.

Answers

Answer: Hello, There! your Answer is Below

C And D Are your Answer

Step-by-step explanation:

Hope this Helps you !!!

Have a great day!!!

I need help solve this !! Pls help pls not links ;)

Answers

Answer:

A /  D /  E

Step-by-step explanation:

f (1) = 1

f(2) = 5

f(3) = 9

Rectangle QRST is dilated with the origin as the center of dilation to create rectangle Q'R'S'T'.

Which rule represents the dial toon applied to rectangle QRST to create triangle QRST

Answers

Answer:

Rule: dilation about the origin by a scale factor of 2

Step-by-step explanation:

Given

See attachment for QRST and Q'R'S'T

Required

The dilation rule

First, we calculate the scale factor (k)

From the attachment, we have:

[tex]QR = 4[/tex]

[tex]Q'R' = 8[/tex]

k, is then calculated as:

[tex]k = \frac{Q'R'}{QR}[/tex]

[tex]k = \frac{8}{4}[/tex]

[tex]k =2[/tex]

Hence, QRST is dilated by a factor of 2

Can someone pls help me?​

Answers

Answer:

26

Step-by-step explanation:

a complementary angle measures 90 degrees. minus the 64 would be 26

A bag contains 3 red balls and 1 blue ball. A second bag contains 1 red ball and 1 blue ball. A ball is randomly picked from each bag and is then placed in the other bag. What is the expected number of red balls in the first bag? (mean or expected value)

Answers

Answer:

"2.82" seems to be the correct solution.

Step-by-step explanation:

As we know,

A bag (Bag A) contains,

Red balls = 3

Blue ball = 1

A second bag (Bag B) contains,

Red balls = 1

Blue ball = 1

Now,

⇒ P(Bag A, red ball) = [tex]P(A)\times P(r)\times P(r)[/tex]

On substituting the values, we get

⇒                                = [tex]\frac{1}{2}\times \frac{3}{4}\times \frac{2}{3}[/tex]

⇒                                = [tex]\frac{1}{4}[/tex]

Similarly,

Probability of second bag will be:

⇒  P(Bag B) = [tex]\frac{1}{2}[/tex]

hence,

In the first bag (Bag A), the expected number of red balls will be:

⇒  [tex]E(n)=\Sigma P(n)\times n[/tex]

On substituting the values, we get

⇒           [tex]=3 (\frac{1}{4})+2(\frac{1}{8} )+4(\frac{1}{24} )+3(\frac{1}{12} )+3(\frac{4}{20} )+4(\frac{1}{20} )+2(\frac{3}{20} )+\frac{2}{20}[/tex]

⇒           [tex]= \frac{169}{60}[/tex]

⇒           [tex]=2.82[/tex]

please answer fast!!

Answers

Answer:

x=70

Step-by-step explanation:

[tex]2x + 1 = 141 \\ 2x = 140 \\ x = 70[/tex]

Answer:

x=70

Step-by-step explanation:

I hope i was right have a good day!!

Help me !!!
Please I really need it

Answers

Answer:

i don't know

Step-by-step explanation:

The origin is a point anywhere along the x-axis. True or False

Answers

Answer:

False

Step-by-step explanation:

The origin is at 0 on the x-axis, and 0 on the y-axis. Hence, (0,0) lies on both the axis.

hope this helps and is right. p.s. i really need brainliest :)

if my answer is wrong then i am incredibly sorry!

The statement "The origin is a point anywhere along the x-axis" is False.

What is Origin?

Origin is referred to as the first point or the starting point from which we begin our calculations or measurements in mathematics, particularly in the subject of coordinate geometry. The 0 on a ruler is the point at which we begin taking measurements; as a result, it is referred regarded as the scale's origin.

As, The intersection of the x and y axes in a coordinate plane is where the origin is located.

Coordinates can be used to name any point on the coordinate plane.

The coordinates are where the origin is ( 0, 0 ).

So, the x- coordinate is 0 and y- coordinates is 0.

Hence, the given statement is False.

Learn more about Origin here:

https://brainly.com/question/30135643

#SPJ2

What’s the correct answer for this?

Answers

Answer:

Step-by-step explanation: A

Answer:

A = 2

B= 2

C= -6

Step-by-step explanation:

1.  2x³ - 8x² -24x  -Factor

2. 2x (x² - 4x - 12) - Factor

3. 2x (x - 6) (x + 2)

   ax (x + b) (x + c)  

The function f (t) = 12(1 +0.03) can be used to determine the population, in thousands of a town t years
since 1955. According to the function, what was the population of the town in 1955 and what was the percent
increase in population from year to year?
Enter a number in each box to correctly complete the sentence
The population of the town in 1955 was
people, and the percent increase in
population from year to year was

Answers

f= the original amount of people, a steady growth throughout the years

t=time

In 1955 the population was 12 thousand. Compared to the current population of 12.36 thousand, the population then was roughly 77%.

A function assigns the values.  The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The function that gives the population of the town is given, therefore, the following can be written,

Since the year 1955 the value of t=0. Therefore, The population of the town in 1955 was 12 thousand.

The percentage increase in population from year to year is 3%.

Hence, The population of the town in 1955 was 12 thousand people, and the percent increase in population from year to year was 3%.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ5

Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.

Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10

Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?

Answers

Answer:

A:

STR= -

TSAL= +

INC=+

SGL=-

B:

231.89 - .50 - .02 + .29 -.88

B2:

STR=Y

TSAL=N

INC=Y

SGL=Y

C:

234.89

D:

240.69

Step-by-step explanation:

5. Simplify
(7x2+ 8) - (x2 - 2)

Answers

Answer:

[tex](7 \times 2 + 8) - ( {x}^{2} - 2) \\ (14 + 8) - ( {x}^{2} - 2) \\ 14 + 8 - {x}^{2} + 2 \\ 22 + {x}^{2} + 2 \\ 24 + {x}^{2} [/tex]

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Triangle ABC is equilateral. What is the value of X?

Answers

I think it’s 90
Answer step-by-step

If triangle ABC is equilateral then the value of x is 3.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

ABC is an equilateral triangle.

AD is the perpendicular bisector of CB

As AC=8 units.

The other sides of triangle will be also 8 units.

D will be the midpoint of CB.

CD=4 units and DB is 4 units.

Let us consider triangle ACD

AC²=CD²+AD²

8²=4²+x²

64=16+x²

Substitute 16 from both sides.

64-16=x²

48=x²

Take square root on both sides.

x=√48

=√16×3

=4√3

Hence, if triangle ABC is equilateral then the value of x is 3.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ2

Whatever answer this question first gets a thanks and 14 points Please answer quickly ✌

Answers

Answer:

5) x = 25

6) x = 48

Step-by-step explanation:

5)

65 + x = 90

65 - 65 + x = 90 - 65

x = 25

--------------------------------------

6)

A complementary angle is 90 degrees.

42 + x = 90

42 - 42 + x = 90 - 42

x = 48

Fill in the table using this function rule y=-10x+2

Answers

Step-by-step explanation:

If X=-1, then we have to multiply by -10 and then add 2. It would be 8.

If X=0, we multiply it by -10, (still 0) and then add 2 so it would be 2.

If X=1, 1*-10=-10 and then -10+2=-8

If X=5, 5*-10=-50, -50+2=-48.

Hope this helps!

Assume that y varies inversely as x. If, y, is 2.4 when x = 5, which is an equation that relates x and y?

Answers

k=y•x
Inverse means 1/variable
y=k•1/x
y=k/x
k=y•x

x=5
y=2.4
k=2.4 • 5
k=12

Answer is:

y=12/x

Good luck.

Two dice are tossed. Find the probability of getting the sum of the
dice equal to 16. (Hint: Draw a tree diagram of the possibilities of
two tosses of a die, and then find the sum of the numbers on
each branch.)

Answers

Answer:

Step-by-step explanation:

If you are talking about a die with 6 faces, then 16 isn't possible. 12 is the highest possible number.

If you are talking about some other kind of die, you have to specify it.

I'm going to assume you made a mistake and meant 6.

There are 5 ways to get six

3 - 3

4 - 2

2 - 4

5 - 1

1  - 5

There are  36 ways of throwing 2 dice.

So the probability = 5/36 = 0.1389

If you really did mean 16 then the probability = 0

Find m∠D

m∠D=

greatly appreciate if done asap:)

Answers

Should be 25 since triangle are 180 degrees
Other Questions
Do now: 2x + 6y = 18Find the x- and y-intercepts for the equation above. On the SAT, you are expected to be able to deduce the meaning of an unknown word by using its surrounding context clues,Suppose you are trying to define the bolded word in this sentenc"Mary Ann thought that her new job would be filled with exciting and challenging projects, but to her surprise all of the projectsassigned to her were unbearably mundaneWhich content clives in the sentence would be most helpful to you in determining the meaning of 'mundane" (which means 'everydayordinary, and uninteresting?"thoughtnew job"filled withD)exciting and challenging what were king george the thirds views on aboriginal peoples PLEASE HELP!!!!!!! GIVING BRAINLIEST!!!!!!! What is the solution to the equation 1/2 (x - 8) = 3/2x + 7 Help!!!!!!!!!!!!!!!!!!!!! Third World Gamer Inc. manufactures components for computer games within a relevant range of 500,000 to 1,000,000 disks per year. Within this range, the following partially completed manufacturing cost schedule has been prepared:Components produced 500,000 750,000 1,000,000 Total costs: Total variable costs $600,000 (d) (j) Total fixed costs 600,000 (e) (k) Total costs $1,200,000 (f) (l) Cost per unit: Variable cost per unit (a) (g) (m) Fixed cost per unit (b) (h) (n) Total cost per unit (c) (i) (o) Complete the cost schedule above. Round costs per unit to the nearest cent. Find the value of x. A line passes through the point (6,-1) and is perpendicular to the line with equation -2x + 3y = -6. plz help! Table 22.1 Labor Union MembershipYear Number of Members1933 2,857,0001934 3,728,0001935 3,753,0001936 4,107,0001937 5,780,0001938 8,265,0001939 8,980,0001940 8,944,0001941 10,489,0001942 10,762,0001943 13,642,0001944 14,621,0001945 14,796,000Which event had the most impact on union growth according to the information shown in the chart and your knowledge of history? The increase in the number of women working outside of the home The reduction in wages brought about by the Great Depression The creation of agricultural unions in the Midwest and West The federal government's actions to increase industrial output What is the average depth of the world's oceans? Select TWO correct answers. A.102.65 miles (4.265 meters).B.656 feet (200 meters).C.10 Empire State Buildings.D.less than half the height of one Empire State BuIding. The two triangles are similar. Determine the values of x, y, and z. Prepositions Which word is the preposition in this sentence The pirates hid the gold on the island The graph of the function f(x) = sin(x) is shown. What is the domain of the function? 100 ptsTu ______ un taxi pour rentrer. (prendre) je ___ au tennis cet aprs-midi. (jouer) Les enfants ____ tt pour aller skier. (se rveiller)Lela ______ deux cours d'anglais le semestre prochain. (suivre)_______-vous ce livre avant de regarder le film? (lire)Tu ______ de regarder le film demain? (finir)Nous _________ cuisiner dans une heure. (commencer)Vous ________ tous les cours de sociologie. (assister)Elle ______ pas pourquoi tu es parti. (comprendre) The first step in responding to any sports injury is toA remove the danger that lead to the injuryB. ensure that the player's air way is not obstructedC. begin chest compressions for CPRD. ask the player to stop playing the sport Jason helped his dad put plastic and aluminum items into the recycling container. The container is a large cube with a length, width, and height of 6 feet. What is the volume of the recycling container? Pls help Ive been getting bots all day! I really need help and I will give brainliest! Which of the following is true concerning sources of water pollution?A)Mine wastes and heavy metals become water pollution through storm water runoff.B)Biodegradable materials like food, wood, and leaves are not considered pollution.C)Petroleum byproducts and fuels end up as pollution principally from oil spills.D)Pesticides and herbicides do not commonly become water pollutants.E)Polluted and contaminated precipitation pollutes lake water. Help please! I am stuck and need help on this question. :)