Answers
The correct description for the polar function, r = 6sin(θ) is: D. Circle symmetric on the line theta = 0, with a radius of 6.
The conversion of polar coordinates.In Mathematics, the relationship between the polar coordinates (r, θ) and rectangular coordinates (x, y) is given by these polar functions:
On the horizontal plane:
x = rcosθ
On the vertical plane:
y = rsinθ
Where:
θ is the angle.r is the diameter of a circle.In conclusion, the correct description for the polar function, r = 6sin(θ) is circle symmetric on the line with an angle (θ) equal to zero (0) and a radius of 6.
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Related Questions
Round 987 to 2 significant figure
Answers
987
to find:2 sf of 987
solution:( to find 2sf just round of if the previous digit is 5 or more)
2 sf= 990
Answer:
990
Step-by-step explanation:
Determining Whether a Difference Is Statistically Significant
You calculated the standard deviation of the sample mean differences to be 0.69. You also calculated the sample mean difference to be 1.74. Now you’ll determine whether the difference is significant. For the purpose of constructing the confidence interval, assume that there’s no difference between the population means.
Part A
Determine the 95% confidence interval for the difference of the sample means. Then complete the statements.
The 95% confidence interval is __ to ___ .
Blank 1: -1.26, -1.38, -3.48, -3.44
Blank 2: 3.44, 3.48, 1.38, 1.26
Part B
Which statement is true about the difference of the sample means?
1. The difference of the sample means is not statistically significant because it falls outside the 5% significance level.
2. The difference of the sample means is statistically significant because it falls outside the 5% significance level.
3. The difference of the sample means is not statistically significant because it falls within the 5% significance level.
4. The difference of the sample means is statistically significant because it falls within the 5% significance level.
Part C
What can you conclude about the color of the L-Bow Roni box?
Answers
The difference of the sample means is statistically significant because it falls outside the 5% significance level.
How to explain the statisticsThe formula for a 95% confidence interval for the difference between two population means is:
(sample mean difference) ± (critical value) x (standard error of the mean difference)
Assuming a two-tailed test and a sample size greater than 30, the critical value is approximately 1.96. The standard error of the mean difference is calculated by dividing the standard deviation of the sample mean differences by the square root of the sample size.
So, the 95% confidence interval is:
1.74 ± 1.96 x (0.69/√n)
Assuming that the sample size is not given, we cannot calculate the exact confidence interval. However, we can say that the confidence interval will be of the form:
1.74 ± (some number)
Therefore, the 95% confidence interval is a range of values that contains the true population mean difference with 95% confidence.
Blank 1: -1.26
Blank 2: 3.44
In order to determine whether the difference is statistically significant, we need to compare the confidence interval to the null hypothesis of no difference. If the confidence interval does not contain the null hypothesis value, then we can reject the null hypothesis and conclude that the difference is statistically significant at the chosen significance level (5% in this case).
The null hypothesis in this case is that there is no difference between the population means. Since we are assuming this for the purpose of constructing the confidence interval, the null hypothesis value is 0.
The confidence interval in Part A does not contain the null hypothesis value of 0, since it ranges from -1.26 to 3.44. Therefore, we can reject the null hypothesis and conclude that the difference is statistically significant at the 5% significance level.
So, the correct answer is that the difference of the sample means is statistically significant because it falls outside the 5% significance level.
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Members of a baseball team raised $1386.50 to go to a tournament. They rented a bus for $1137.50 and budgeted $20.75 per player for meals. Determine the number of players the team can bring to the tournament.
Answers
Answer:
12 players
Step-by-step explanation:
the team started off with $1386.50
subtract $1137.50 for the rented bus
[tex]1386.50 - 1137.50 = 249[/tex]
the team has $249 left for the meals and a meal costs $20.75 for each player.
249 ÷ 20.75 = 12
the team can bring 12 players to the tournament.
Find the volume of the sphere.
Either enter an exact answer in terms of pi or use 3.14 for pi and round your final answer to the nearest hundredth
radius=8
Answers
The answer is 267.94 m^3
The volume of a sphere with radius 8 units is 2143.57 units³
What is a Sphere?
A sphere is symmetrical, round in shape. It is a three dimensional solid, that has all its surface points at equal distances from the center. It has surface area and volume based on its radius. It does not have any faces, corners or edges.
The Surface Area of a Sphere = 4πr²
The Volume of a Sphere = ( 4/3 ) πr³
where r is the radius of the sphere
Given data ,
Let the volume of the sphere be represented as A
Now , the value of A is
Let the radius of the sphere be r
The value of r = 8
Now , the formula to calculate the volume of the sphere is
Volume of a Sphere = ( 4/3 ) πr³
Substituting the values in the equation , we get
Volume of a Sphere = ( 4/3 ) x 3.14 x 8 x 8 x 8
Volume of a Sphere = ( 4/3 ) x 3.14 x 512
Volume of a Sphere = ( 4/3 ) x 1607.68
Volume of a Sphere = 2143.57 units³
Therefore , the value of A is 2143.57 units³
Hence , the volume of the sphere is 2143.57 units³
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A trapezoidal sum is an underestimate when the function is.
Answers
Answer: Concave down
Explanation:
An example is shown below. We have the concave down parabola [tex]y = -x^2+7[/tex] marked in red. The trapezoidal sum is in blue. The three trapezoids combine to something just a bit smaller than the true area under the curve from x = -2 to x = 1. Therefore, this trapezoidal sum is an underestimate of the true area under the curve.
Every part of each trapezoid is completely below the red curve. In other words, no part of the blue pieces spill above the parabola.
What is mZLKB?
A
65°
K
#
#
B
L
Answers
Answer:
65
Step-by-step explanation:
I got it right on my test!
What is the minimum number of triangles needed to construct a hexagon? a hexagon. 3 4 5 6
Answers
Answer:
6
Step-by-step explanation:
draw a model and fit in some traingles
Answer:
it’s B :)
Step-by-step explanation:
give a that is if u think my dog is cute
A factory inspector found flaws in 4 out of 22 wooden boxes. Considering this data, how many flawed boxes would you expect the inspector to find in a batch of 44 boxes
Answers
Answer:
8
Step-by-step explanation:
We can form a simple ratio to solve this problem.
Flaws:Total Box
Plug in current values
4:22
44/22 = 2
Multiply the ratio by 2
8:44
8 boxes would be flawed.
Answer:
8
Step-by-step explanation:
There are 2 ways to do this I have seen.
1. 4/22 will get you .18, you can then multiply that by 44 and get 8
2. 22*2 is 44 so you can assume the number of flaws will also be the same amount multiplied (a multiple of 2) and you will get 8
Donald writes 6 x 9 = 54. Explain two strategies you could use to check his work.
Answers
2) he can divide 54 by 6 to see if he gets 9
What are the values of a1 and r of the geometric series?
2 – 2 + 2 – 2 + 2
a1 = 2 and r = –2
a1 = –2 and r = 2
a1 = –1 and r = 2
a1 = 2 and r = –1
Answers
Answer:
a1=2 and r=-1
Step-by-step explanation:
"A geometric series is a series with a constant ratio between successive terms".
Here, we can observe that the first term 'a' is '2'.
And the common ratio 'r' =
Therefore, the first term 'a' is 2 and common ratio 'r' is '-1'.
First term, a, is 2. Next term, -2, is the product of 2 and -1 and is -2. Next term, 2, is the product of -2 and -1. Thus, the first term, a, is 2 and the common ratio, r, is -1
Answer:
a1 = 2 and r = –1
Step-by-step explanation:
The answer above is correct.
Please help
What is 94*106 as a difference of two squares
What is 94*106 as a product of a sum and a difference (factored form)
Answers
Answer:
Hi, I am going to help you! ➡ 94 * 106Formula: ( a+b) (a-b)
a=100
b=6
100+6=106
100+6=106100-6= 94
➡ 2. 100² - 6²
= (100 - 6) ( 100 + 6)
= 94 * 106
( THE BOLD IS THE FINAL ANSWER FOR BOTH QUESTIONS)
Which is closest to the weight of 1 raisin box?
250 grams
84 grams
125 grams
42 grams
Answers
Step-by-step explanation:
answer 42 grams.
since total is 250 with 4 box combined. then , 250/4 = 42.25. which is approximately 42 grams
Lily is going to invest $750 and leave it in an account for 18 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Lily to end up with $1,180?
Please help!! I need helppppp ASAP
Answers
Answer:
The interest rate would be 2.5%
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y-2 =3(x+3)
Answers
y=3x+11
y-3x=11
yolanda makes wooden boxes for a crafts fair. She makes 25 boxes like the one shown, and she wants to paint all the outside faces. What is the surface area of all 25 boxes?
Answers
1550 sq. in
hope it helps..!!!
Given:
Universal Set U = {3, 7, 8, 10, 11}
Subset B = {7}
What is B' ?
Answers
Answer:
B' = {3, 8, 10, 11}
Step-by-step explanation:
B' is the complement of B. It is a set that contains all elements of the universal set that are not elements of set B.
B' = {3, 8, 10, 11}
The points (8, 0), (0, 9), (0, 0), and (6, 5) are the vertices of a feasible region for a linear programming problem. The objective function for the problem is C = 1.5x + 3.5y. Which point is the maximum value of C?
Answers
Answer:
the point 6,5 is the maximum Value of c out of the other points
2x+20+3x-5=180 ??need answer
Answers
Answer:
33
Step-by-step explanation:
2x+3x+20-5=180
5x+15=180
5x=180-15
5x=165
165/5=33
Darnell collected data from two different sales teams in his department, each with four employees.
The results of the study, based on each worker's age and sales, are listed in the tables below.
Team 1
Team 2
Worker's Age
Sales
Worker's Age
Sales
25
30,000
29,000
27
32,000
35,500
28
35,000
37,000
33
38,000
65,000
Which of the following is a true statement?
225
28
29
31
Answers
Answer:
The answer is C The sales range for team 2 is greater than the sales range for team 1.
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If f(1) = 1 and f(n) = 2f(n − 1) then find the value of f(4).
Answers
Answer:
[tex]f(4)=8[/tex]
Step-by-step explanation:
Given:
[tex]f(1)=1[/tex][tex]f(n)=2f(n-1)[/tex][tex]\implies f(2)=2f(1)=2(1)=2[/tex]
[tex]\implies f(3)=2f(2)=2(2)=4[/tex]
[tex]\implies f(4)=2f(3)=2(4)=8[/tex]
10.6 m 9.1 m 6.8 m find volume
Answers
Answer:
218.36 m^3
Step-by-step explanation:
volume = 1/3 * base area * height
volume = 1/3 * (9.1*6.8) * 10.6
volume = 1/3 * (61.8) * 10.6
colume = 20.6 * 10.6
volume = 218.36
Answer:
109.3 m³
Step-by-step explanation:
Volume of a pyramid
1/3BhBase Area
1/2 x 9.1 x 6.83.4 x 9.130.94 m²Solving
V = 1/3 x 30.94 x 10.6V = 327.964/3V = 109.321333V = 109.3 m³ (approximately)Identify the statement as true or false.
As the size of the random sample increases, the sample distribution more closely represents the population distribution.
Answers
Graph this parabola
Please show all steps thank you!!!
Answers
Vertex form of parabola
y=a(x-h)²+kFrom the equation given
Vertex=(h,k)=(3,4)a=-2As a is negative parabola facing downwards
Graph attached
ANSWER THIS PLEASE !!!!!!
Answers
Answer:
C
Step-by-step explanation:
Becuase 68 is closer to c than b
What is the length of the missing leg? If necessary, round to the nearest tenth
Answers
Explanation a^2+b^2=c^2
Answer:
80m
Step-by-step explanation:
Pythageoreum Theorum since it is a right triangle.
a^2 + b^2 = c^2
60^2 + b^2 = 100^2
3600 + b^2 = 10,000
-3600 -3,600
b^2 = 6,400
Square root both sides of the equation
b = [tex]\sqrt{6400}[/tex]
[tex]\sqrt{6400}[/tex] = 80
The length of side a is 80 m
Choose the correct item from each drop-down menu to factor the trinomial 3x² + 13x – 10 by grouping.
3x2+ 13x - 10 = 3x2 -
Choose.
x +
Choose.
X-10
Choose.
V (3x-2) +
Choose.
(3x - 2)
=
Choose.
Choose.
D(x - 2)
Answers
The trinomial, 3x² + 13x – 10, when factored will give you: (3x + 10)(x - 1).
How to Factor a Trinomial?To factor a trinomial, we need to find two factors that would give us the exact trinomial when expanded.
Given, 3x² + 13x – 10:
3x² -3x + 10x - 10
(3x² - 3x) + (10x - 10 )
3x(x - 1) +10(x - 1)
(3x + 10)(x - 1)
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A. -25
B. 15
C. 25
D. 40
E. 65
Answers
Answer:
E.65
Step-by-step explanation:
х
y
1
4
2
16
3
64
4
256
5
1,024
The table above represents what type of function?
A. linear
B. linear and nonlinear
c. neither linear nor nonlinear
D. nonlinear
Reset
Submit
Answers
Answer:
B
Step-by-step explanation:
When the x goes up 1, the y multiplies by 4. This graph would be a curve.
Hope that helps
What is the total number of unique triangles that can be formed with side lengths of 6.5 centimeters, 6 centimeters, and 2.5 centimeters?
Enter your answer in the answer box below.
Answers
Answer:
One
Step-by-step explanation:
For unique triangles with 3 sides, the sum of the two shorter sides must be greater than the third side.
Shorter sides: 6 cm and 2.5 cm
Longer side: 6.5 cm
6 + 2.5 = 8.5
As 8.5 > 6.5 this is a unique triangle
As the side lengths are fixed, only one unique triangle can be formed.
I need help with this question
Answers
Answer:
[tex]\frac{1}{12}[/tex]
Step-by-step explanation:
The probability of picking a 3 is 1/4.
The probability of picking up a 1 the second time will be 1/3 since there will only be 3 cards left after the first time picking up the 3.
So 1/4 x 1/3 = 1/12