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
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
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, 2 ⇒ C
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
((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.
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
what is -4x +1 > 9? QUICK QUICK QUICK
Answer:
x = -4
Step-by-step explanation:
-4x + 1 > 9
-4 * -4 + 1 = 13
13 > 9
pls help with find the value of x
Answer:
x : 5
Step-by-step explanation:
I hope this is right! Good luck!
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
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:
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
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
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,
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!
Is the slope-intercept form and standard form of the same line equivalent?
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
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
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
If 1 + 2 = 12 then what's 2 + 4?
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:
charli has 100 million!!!
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
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
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
Answer: your answer is c
Step-by-step explanation: I did this in 4th grade XD
the sum of two numbers is 9 and their difference is 7
Answer: 8 and 1
Step-by-step explanation:
8+1=9
8-1=7
how many feet are in one inch
Answer:
1/12 foot
Step-by-step explanation:
Answer:
12 inches
Step-by-step explanation: I misread the question
In triangle ABC, what is the measure of angle Cif A = 85°, a = 35, and c = 25?
yes the answer is C = 25
There are three nickels, three dimes, and three quarters in your pocket. You randomly pick a coin. It is a nickel or dime.
Answer:
(B) mutually exclusive
Step-by-step explanation: hope this helps!
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?
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
If f(x) = 7x - 3, then f(4) = ?
Step-by-step explanation:
7(4)-3=25
i hope it will help
Courtney drove 48 miles to her friends house she got there in a hour and 12 minutes how fast was she driving on average
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.
f(x) = -4x^2+ 10
Find f(-2)
Answer:
-6
Step-by-step explanation:
plug -2 into x
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
Answer:
1100/3
Step-by-step explanation:
f(x)=4x-3
find f(5)
Answer:
17
Step-by-step explanation:
4(5)-3
20-3
17
the answer is 17
If the mean of the four numbers 4, 8, 2x and
12 is 10, then x is
Answer:
8
4+8+2x+12=10*4
24+2x=40
2x=16
x=8
Six coins are tossed. How many TOTAL ways can you get AT LEAST 3 tails?
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
PLEASE ANSWER THESE FOR GOD SAKE IF YOU DONT KNOW THEN DONT ANSWER PLEASE. Giving up all my points.... I only had 28
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.
I need help with just the last question! :)
Answer:
the answer is 260
Step-by-step explanation:
Plug 20 in for x in the equation.
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.
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].
Find the measure of angle 1
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