Forty-seven percent of fish in a river are catfish. Imagine scooping out a simple random sample of 25 fish from the river and observing the sample proportion of catfish. What is the standard deviation of the sampling distribution? Determine whether the 10% condition is met.

Answers

Answer 1

Question options:

The standard deviation is 0.0998. The 10% condition is not met because there are less than 250 fish in the river.

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is met because it is very likely there are more than 250 fish in the river.

The standard deviation is 0.9002. The 10% condition is not met because there are less than 250 fish in the river.

We are unable to determine the standard deviation because we do not know the sample mean. The 10% condition is met because it is very likely there are more than 250 fish in the river

Answer:

The standard deviation is 0.0998. The 10% condition is met because it is very likely there are more than 250 fish in the river

Explanation:

Formula to calculate standard deviation = √p(1-p)/n

Given p= population proportion

n= sample size

From the question,

We are given p(population proportion of catfish in the river)= 0.47

n(sample size of fish collected from river) = 25

The standard deviation using the formula above = √0.47(1-0.47)/25

= 0.0998

The 10% condition demands that a sample size be not less than 10% of the population

To check if the 10% condition was met, we know that a river will likely have up to 250 fish in it and so,

10% of 250= 0.10×250=25 fish

Therefore the option B chosen is correct


Related Questions

If the mean of the four numbers 4, 8, 2x and
12 is 10, then x is

Answers

Answer:

8

4+8+2x+12=10*4

24+2x=40

2x=16

x=8

7. On a map of a local community college, the cafeteria is located at point (-4,3) and the
bookstore is located at point (6,1). What is the distance between the cafeteria and
bookstore rounded to the nearest tenth?

A. 9.8 units
B. 4.5 units
C. 10.2 units
D. 3.5 units

Answers

Answer: C. 10.2

Step-by-step explanation: because in decimal form 10.19803902 to the nearest  is 10.2

Answer:

C

Step-by-step explanation:

39. Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a
cable. If the length of the cables are 72 meters and 77 meters and the tugboats are 35 meters
apart, find the angle formed between the cables.

Answers

Answer:

[tex]26.903^{\circ}[/tex]

Step-by-step explanation:

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

[tex]m\angle C[/tex] = Angle between the cables

[tex]c^2=a^2+b^2-2ab\cos C\\\Rightarrow m\angle C=\cos^{-1}\dfrac{c^2-a^2-b^2}{-2ab}\\\Rightarrow m\angle C=\cos^{-1}\dfrac{35^2-77^2-72^2}{-2\times 77\times 72}\\\Rightarrow m\angle C=26.903^{\circ}[/tex]

The angle formed between the cables is [tex]26.903^{\circ}[/tex].

Courtney drove 48 miles to her friends house she got there in a hour and 12 minutes how fast was she driving on average

Answers

Answer:

Yea she drove

Step-by-step explanation:

Answer:

40 mph

Step-by-step explanation:

s=vt

v = s/t

putt values

Im stumped and timed.

Answers

I believe the answer for the second one is B ( I took this last year but I think it’s that one)

20 points !
If a cone has a volume of 47.1 cubic yards and a height of 5 yards, what is the radius of the cone? (Use 3.14 for « )
1.5 yards
1.73 yards
3 yards
4.5 yards

Answers

Answer:

3

Step-by-step explanation:

V=πr2h

3

Solving for r

r=3V

πh=3·47.1

π·5≈2.99924

Answer:

3

Step-by-step explaination

Find the measure of angle 1​

Answers

Answer:

∠1 = 116

Step-by-step explanation:

Find the inner angle first, the inner angle will be represented with x, also a triangle is 180 degrees, so:

57 + 59 + x = 180

116 + x = 180

subtract 116 from both sides

x = 64

So now u have the inner angle, and a straight line is also 180 degrees, so:

64 + ∠1 = 180

subtract 64 from both sides

∠1 = 116

The answer is 116
Explanation: here we are going to use external formula so we will do 57+59 which equals 116

charli has 100 million!!!

Answers

I know!! Why don’t people respect her she’s a good kid!

There are three nickels, three dimes, and three quarters in your pocket. You randomly pick a coin. It is a nickel or dime.

Answers

Answer:

(B) mutually exclusive

Step-by-step explanation: hope this helps!

In triangle ABC, what is the measure of angle Cif A = 85°, a = 35, and c = 25?

Answers

yes the answer is C = 25

A toy maker wants to re-create the Wright Brothers 1903 airplane. The actual plane was 21 feet long. The toy maker wants to use a scale model of 3 feet = 2 inches. How long will the replica plane be?

Answers

Answer:

[tex]x = 14ft[/tex]

Step-by-step explanation:

Given

[tex]Actual\ Length = 21ft[/tex]

Model:

[tex]3\ ft = 2\ in[/tex]

Required

Determine the length of the replica

Represent the model as a ratio:

[tex]Ratio = 3\ in:2\ ft[/tex]

Convert to fraction

[tex]Ratio = \frac{3\ in}{2\ ft}[/tex]

Represent the actual lengths as a ratio

[tex]Ratio = 21\ ft : x[/tex]

Where x is the length of the replica

Convert to fraction

[tex]Ratio = \frac{21\ in}{x}[/tex]

Equate both ratios (because they are in proportion)

[tex]\frac{3\ in}{2\ ft} = \frac{21\ in}{x}[/tex]

[tex]\frac{3}{2\ ft} = \frac{21}{x}[/tex]

Cross Multiply:

[tex]3 * x = 21 * 2\ ft[/tex]

[tex]3x = 42\ ft[/tex]

Solve for x

[tex]x = \frac{42ft}{3}[/tex]

[tex]x = 14ft[/tex]

Hence, the length of the replica is 14ft

f(x) = -4x^2+ 10
Find f(-2)

Answers

Answer:

-6

Step-by-step explanation:

plug -2 into x

-6 should be the correct answer

A map key shows that a map distance of 1/3 inch represents an actual
distance of 417 mile. Find the actual distance represented by 1inch on the
map,

Answers

Answer:

1,251 miles

Step-by-step explanation:

if 1/3 inch is 417 miles then one inch would be 3/3 so

417 x 3= 1,251 miles.

I hope this helps!

Samuel earns $5 per hour plus 65% commission on all his sales. If y represents
his sales for one day, which expression represents Samuel’s total earnings for a
day when he worked 6 hours?
A. 5(6) + 65y
B. 5(65) + 6y
C. 5(6) + 0.65y
D. 5(6) + 1.65y

Answers

Answer:

B

Step-by-step explanation:

Answer:

5(6)+0.65y

Step-by-step explanation:

$5(6hrs)+65÷100=0.65

5(6)+0.65y

Select the correct answer.
Which point is a solution to the system of inequalities graphed here?
ys 2x + 2
ya -5x + 4
y 710
-10
10
7-10

Answers

Answer:D. (5,0)

Step-by-step explanation:

The point which is a solution to the system of inequalities graphed here is (0, 5)

The solution to the system of inequalityFrom the given graph, the solution of the system of inequality is the point where the two lines meet.

From the graph, you can see that the x-coordinate of the solution is at x = 0  while the y-coordinate of the solution is at y = 5.

Hence the point which is a solution to the system of inequalities graphed here is (0, 5)

Learn more on inequality graph here: https://brainly.com/question/24372553

Six coins are tossed. How many TOTAL ways can you get AT LEAST 3 tails?

Answers

Answer:32

Step-by-step explanation:

so all you have to do to find all posible combinations is 2 to the 6 power (64

) and devide that by 2 sience each of the "winners" have half tails

f(x)=4x-3

find f(5)​

Answers

Answer:

17

Step-by-step explanation:

4(5)-3

20-3

17

the answer is 17

pls help with find the value of x​

Answers

Answer:

x : 5

Step-by-step explanation:

I hope this is right! Good luck!

((help please)). Identify any constraints on the domain.
Every day Isabel swims 10 to 20 laps in a 50-meter pool. She tracks the numbers of laps she swims and how long it takes her to complete the laps, in
minutes
Choose the correct answer below.
O A. The domain consists of all integers greater than or equal to 0.
OB. The domain consists of all integers greater than 0 and less than or equal to 20.
OC. The domain consists of all integers greater than or equal to 0 and less than or equal to 20
D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.
E. The domain consists of all integers less than or equal to 20.

Answers

Answer: D

Step-by-step explanation: trust me

All integers higher than or equal to 10 and less than or equal to 20 are included in the domain.

What is meant by domain?

The set of all potential inputs for a function is its domain. The domain of a function is the collection of all possible values that can be used as inputs, or alternatively, it is the full range of possible values for independent variables.

The set of all values that can be plugged into a function while ensuring that it exists and accepts a real number as a value is known as the domain of the function.

The range of values that we exists allotted to enter into our function is comprehended as the domain of a function. The x values for a function like f make up this set (x).

Therefore, the correct answer is option D. The domain consists of all integers greater than or equal to 10 and less than or equal to 20.

To learn more about Domain refer to:

https://brainly.com/question/26098895

#SPJ2

PLEASE ANSWER THESE FOR GOD SAKE IF YOU DONT KNOW THEN DONT ANSWER PLEASE. Giving up all my points.... I only had 28

Answers

Answer:

d. y=2x-8

b. y=3/4x-1 & y=-4/3x+9

Step-by-step explanation:

I used desmos and put in all of the answer options to see which one worked the best.

If 1 + 2 = 12 then what's 2 + 4?

Answers

Answer:

2 + 4 = f i s h

Hi the answer is f i s h fish f i s h

Answer:

2+4 is 100 B)

-K

Step-by-step explanation:

If Bill bikes at an average speed of 8
miles per hour, how many hours will
it take him to ride 24 miles?
198 hours
B
32 hours
3 hours
20 hours

Answers

Answer: your answer is c

Step-by-step explanation: I did this in 4th grade XD

what is -4x +1 > 9? QUICK QUICK QUICK

Answers

Answer:

x = -4

Step-by-step explanation:

-4x + 1 > 9

-4 * -4 + 1 = 13

13 > 9

Part A
Based on the graph, how many zeros does the polynomial function, f(x) = -x^4 - 3x^3 + 6x^2 + 8x have?


Part B

What are the zeroes of the above polynomial function?

A. -4,0,2,3
B. 0, 2 only
C. -4,-1, 0, 2
D. -4, 2 only

Answers

Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2C

Step-by-step explanation:

The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0

Part A:

In the given graph

∵ The graph of the function f(x) = -[tex]x^{4}[/tex] - 3x³ + 6x² + 8x intersects the x-axis

   at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

The zeroes of the polynomial function f(x) are -4, -1, 0, 2

Write 2200 feet to 6 seconds as a rate in lowest terms. Label the rate correctly.
1100 feet/6 sec
2200 feet/6 sec
2200 feet/3 sec
1100 feet/3 sec

Answers

Answer:

1100/3

Step-by-step explanation:

Is the slope-intercept form and standard form of the same line equivalent?

Answers

Answer:

Linear equations can take several forms, such as the point-slope formula, the slope-intercept formula, and the standard form of a linear equation. These forms allow mathematicians to describe the exact same line in different ways.

hope this helps

the person on the top is right

If f(x) = 7x - 3, then f(4) = ?

Answers

Step-by-step explanation:

7(4)-3=25

i hope it will help

how many feet are in one inch

Answers

Answer:

1/12 foot

Step-by-step explanation:

Answer:

12 inches

Step-by-step explanation: I misread the question

the sum of two numbers is 9 and their difference is 7​

Answers

Answer: 8 and 1

Step-by-step explanation:

8+1=9

8-1=7

I need help with just the last question! :)

Answers

Answer:

the answer is 260

Step-by-step explanation:

Plug 20 in for x in the equation.

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