Answer:
[tex]s=r\theta\\\theta=s/r\\\theta=19/4\\\theta=4.75[/tex]
Step-by-step explanation:
There is a formula that relates the arc length of a circle of radius, r, to the central angle, [tex]\theta[/tex] in radians.
[tex]s=r\theta[/tex]
Determine whether each relationship below is true or false.
Answer:
1. True
2. False
3. True
4. False
5. True
Step-by-step explanation:
For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3 and 2/3 is greater than 1/3.
For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.
For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25 and see which is larger.
For 4, you want to see if you can simplify any of them. 2/4 can be simplifed to 1/2. So, it is false because you can see that 2/4 is the same as 1/2
For 5, you want to divide both fractions by 2, so 4/10 would be 2/5 and 4/6 would be 2/3. So it is true.
The answers for the given expressions are given below,
1. True
2. False
3. True
4. False
5. True
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
For 1, you want to see the reduced fraction of 2/6 so you want to divide 2/6 by 2, it is 1/3, and 2/3 is greater than 1/3.
For 2, you want to multiply 5 by 2. and then do the same thing for 6, 6 x 2. Now you want to see if they match.
For 3, you want to make both fractions into decimals so 1/8 is 0.125 and 1/4 is 0.25, and see which is larger.
For 4, you want to see if you can simplify any of them. 2/4 can be simplified to 1/2. So, it is false because you can see that 2/4 is the same as 1/2
For 5, you want to divide both fractions by 2, so 4/10 would be 2/5, and 4/6 would be 2/3. So it is true.
To know more about an expression follow
https://brainly.com/question/13780981
#SPJ2
A statistics student at a small liberal arts college who is curious about the relationship between the amount of time students at his college spend on social networking sites and their performance at school decides to conduct a survey. Four research strategies for collecting data are described below. In each, name the sampling method proposed and any bias you might expect. Strategy 1: He obtains a list of the 1500 students at the college. He chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. He emails the survey to each of the people in the sample and asks them to complete it by next Friday
1. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
2. What type of bias would you expect? (check all that apply)
A. No bias in this survey
B. Response bias
C. Selection bias
D. Nonresponse bias Strategy
2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey
3. What is the sampling method?
A. Simple random sampling
B. Convenience sampling
C. Cluster sampling
D. Systematic sampling
E. Stratified sampling
4. What type of bias would you expect? (check all that apply)
A. Selection bias
B. Nonresponse bias
C. No bias in this survey
D. Response bias Strategy
3: He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys
5. What is the sampling m ethod?
A. Stratified sampling
B. Cluster sampling
C. Simple random sampling
D. Convenience sampling
E. Systematic sampling
6. What type of bias would you expect? (check all that apply)
A. Response bias
B. Nonresponse bias
C. No bias in this survey
D. Selection blas
7. Which strategy will give him the most representative sample of students at his college?
A. Strategy 1
B. Strategy 2
C. Strategy 3
Answer:
Strategy 1:
I) D: Systematic Sampling
II) D: non - response bias.
Strategy 2:
I) B: Convenience Sampling
II) A: Selective bias
Strategy 3:
I) B: Cluster Sampling
II) B: non - response bias.
7) A: Strategy 1
Step-by-step explanation:
For Strategy 1,
I) the sampling method is systematic sampling. This is because Systematic sampling is a kind of method for probability sampling whereby sample members from a larger population will be selected according to a random starting point but it will be for a fixed or periodic interval.
Now, we were told that he chooses a random number k between 1 and 15 and then samples that person and every kth person on the list. This corresponds to a random starting point as shown in systematic sampling above.
We are also told that he emails the survey to each of the people in the sample and asks them to complete it by next Friday. This corresponds to a fixed time interval in the definition too. Thus, it is proven to be systematic sampling.
II) The bias here will be Nonresponse bias Strategy. This is because all the students may not respond to the survey as it is possible that the students may forget to fill the survey or may ignore it or may be too busy to reply. Thus, it is a non - response bias.
For Strategy 2: He gives out the survey only to his friends, and makes sure each one of them fills out the survey
I) The sampling method here is convenience sampling which can be defined as a sampling method where the sampling units are selected in line with how convenient it is for the researcher. In this case he has given it to only his friends and made sure they filled. Which means he did it with a convenience bias.
II) Because he gave it to only his friends, he may not have a true reflection of the research as it was inky his friends instead of being random where he can have diverse views that can truly represent the population. Thus, it is a selection bias.
For strategy 3;He randomly chooses 3 floors of the largest dorm on campus and distributes a paper survey to each resident on those floors. He places a box in the common room of the dorm to collect the completed surveys.
I) The type of sampling used here is cluster sampling which is defined as a sampling method where the population is divided into clusters and random sample picked from each cluster. In this case, the population has been divided into 3 floors and he randomly distributed to residents on each of those floors. Thus, it is an example of Cluster sampling
II) The bias here will be non - response bias because the could choose not to respond to the paper survey for various reasons and thus not all will respond. This leads to a non - response bias.
7) Strategy 1 will give the most representative sample of students at his college because he selected from the entire list of 1500 students.
If the expression 4x+3 is equal to 1 to the same value of x, what is the expression 4x+8 equal to for the same value of x？
Answer:
6
Step-by-step explanation:
4x + 3 = 1
4x =-2
x = -1/2 so 4x +8 =4(-1/2) +8=6
Beck uses 25 robux to buy 3 spins on a game she likes, she spends 8 thousand robux to finally roll a good item.How much spins did she get?
Answer:
960
Step-by-step explanation:
8000/25 = 320
320 • 3 = 960
Convert decimal to a mixed number: 10.5 =
Help please
A dance floor is in the shape of a rectangle.
It is 27 meters long and 16 meters wide.
What is its perimeter?
Answer:
86 meters
Step-by-step explanation:
27+27+16+16=54+32=86 meters
Which of the following functions is graphed below?
Simplify
3(5x + 4y) + 6(y - 2x)
Answer:
3x+18y
Step-by-step explanation:
Distribute into 15x+12y+6y-12x then add like terms.
• Number of psychology textbooks sold: The number is not correct
A textbook store sold a combined total of 334 biology and psychology textbooks in a week. The number of biology textbooks sold was 84 more than the number
of psychology textbooks sold. How many textbooks of each type were sold?
Answer:
209 biology books and 125 psychology books were sold.
Step-by-step explanation:
x = biology books y = psychology books
334 = x + y
x = y + 84
x - y = 84
y = x - 84
Using these systems of equations, we can see that (209,125) is the only possible answer. Elimination, substitution, or guess and check are all viable methods to solve this problem. I can explain further if needed! :)
You took a trip to the mountains and traveled 486.It took you 9 hours and 18 gallons of gas to make the trip. The total cost you paid for was $59.94
Answer:
Average speed on the trip (54 miles per gallon)
Car mileage on trip was 27 miles per gallon
Unit price of gas paid ( $3.33)
Step-by-step explanation:
Please help me I need it right now
Answer: x = 4
Step-by-step explanation:
The cube root of 64 is 4
Answer: x=4
Step-by-step explanation:
4x4=16. 16x4=64
$182 at 6% simple interest for 4 years.
Find the interest earned on the account
<1 and <2 are supplementary, so one of the angles is acute,
Find one counterexample to show that each conjecture is false.
Answer:
make each of the supplementary angles 90, then they are equal.
Step-by-step explanation:
Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds. The old fish tank holds 20 gallons of water. How many gallons of water should her new fish tank hold? O A. A. 15 gallons B. 35 gallons OC. 60 gallons D. 80 gallons E. 95 gallons
Answer:
b
Step-by-step explanation:
75 percent of 20 is 15 and 100 percent of 20 is 20
The number of gallons of water should her new fish tank hold is to be considered as the option b. 35 gallons.
Calculation of the number of gallons:Since
Allisa needs a new fish tank. Her new fish tank must hold 175% of the water that her old one holds.
The old fish tank holds 20 gallons of water.
So we can say that
= 75% of 20 + 100% of 20
= 15 + 20
= 35
Hence, the option b is correct.
Learn more about number here: https://brainly.com/question/18084805
The sum of three consecutive integers is 42. Determine the value of the smallest
integer.
Answer:
13.
Step-by-step explanation:
[tex]42 = a + (a+1) + (a+2) = 3a + 3 = 3(a+1)[/tex]
Then, [tex]a+1 = 14[/tex], so [tex]a=13.[/tex]
4. The cost of a long-distance telephone call is $.50 for making the call and $.10 per minute. What is the slope? What does it represent?
$$$$$$$$$$$$$$$$$$$$$$$$$$
formula for calculating average speed
Find the graph that matches the equation below.
y=-1/3x-1
Answer:
A
Step-by-step explanation:
While I was walking to schoed this morning I saw 2 ants and 2 butterflies.
My teacher taught me that an insect has 6 legs. Ants one butterflies are
both intects! How many legs were there all together?
Answer:
it would me 24 legs
Step-by-step explanation:
hope that helps
please gyus help me out ..... urgent need......for 20 points please gyus answer it .....
Answer:
I wish I could help you but i have not learn yhat yet. so sorrry :( pleaser forgive jme....... please i beg u plase
Step-by-step explanation:
Consider the reflection of angle abc across the line of reflection pt
Answer:
bro are you talking about some picture
Step-by-step explanation:
Find the area of the figure. (Sides meet at right angles.)
9 in
in
5 in
B in
4 in
Answer:
48 in²Step-by-step explanation:
A1 = 9 x 4 = 36
A1 = 4 x 3 = 12
Total = 36 + 12
= 48 in²
What is X- y= 3 in a graph
Answer:
You must first put the equation into slope-intercept form (y = mx + b). To do this, subtract x from both sides to isolate y. Then, since y will be negative, divide each side by -1, resulting in y = x - 3. Since a 1 is understood to be in front of the x, the slope is 1
How to graph:
x-0 y- -3 or (0,-3)
x- 3 y-0 or (3,0)
If you graph these points you should get your graph
Can two distinct lines intersect in more than one point?
What are the zeros of x (3 - 18x) = 0 ?
Answer:
x=3⋅± 2
=±4.2426
x=0
Step-by-step explanation:
WILL MARK BRAINLIEST Find the value of x in each case:
c
L, M ∈
KN
Step-by-step explanation:
The sum of interior angles of a triangle is 180 degree
x + (180 - 3x ) + ( 180 - 2x - 72 ) = 180
x + 3x - 2x + 360 - 72 = 180
2x + 288 = 180
2x = 108
x = 54
L = 180 - 3x = 180 - 54*3 = 18
x + L + M = 180
54+18+M = 180
M = 108
definition of the difference quotient of a function
Answer:
Step-by-step explanation:
The difference quotient is a measure of the average rate of change of the function over an interval (in this case, an interval of length h). The limit of the difference quotient (i.e., the derivative) is thus the instantaneous rate of change.
Zeke's birthday party will cost $6 if he invites 3 guests. If there are 8 guests,
how much will Zeke's birthday party cost? Assume the relationship is
directly proportional. *
Please help on this I’m confused
Answer:
Side A is 7
Side B is 15
Step-by-step explanation:
Find the distance between the points (3, 2) and (15,-3).