Answers
===============================================
Work Shown:
L = theta*r
L = (5pi/4)*1
L = 5pi/4
L = 3.92699081698724 approximately
L = 3.927 units
The formula above only works if theta is in radians.
If the angle is in degrees, then you need to convert using the rule
y = (pi/180)*x
where x is the angle in degrees and y is the equivalent angle measure in radians.
In the fourth step, I used my calculator to get that value. You could use pi = 3.14, but in this case, your teacher wants you to use the stored value of pi found in the calculator.
---------------------------
Extra info (optional section):
If you're curious why that formula works, then consider a circle with circumference C = 2*pi*r. This is the distance around the circle, aka the perimeter.
The arc length in red is only a fractional portion of the full perimeter. Specifically, that fractional amount is theta/2pi. We multiply this fraction by the full perimeter and simplify
L = arc length
L = (full circle circumference)*(fractional amount)
L = (2*pi*r)*(theta/2pi)
L = theta*r
The "2pi" terms cancel in the last step. Again, this formula only works if theta is in radians. This is due to the fractional portion theta/2pi.
There is an equivalent formula for theta being in degrees, which is
L = (theta/360)*2*pi*r
but this version is a bit messier in my opinion.
Answer:3.927
Step-by-step explanation:
Related Questions
Many fast-food restaurants have soft drink dispensers with preset amounts, so that when the operator merely pushes a button for the desired rink the cup is automatically filled. This method apparently saves time and seems to increase worker productivity. A researcher randomly selects 9 workers from a restaurant with automatic dispensers and 9 works from a restaurant with manual dispensers. At a 1% significance level, use the Mann-Whitney U Test to test whether workers with automatic dispensers are significantly more productive.
Automatic (Group 1): 153, 128, 143, 110, 152, 168, 144, 137, 118
Manual (Group 2): 105, 118, 129, 114, 125, 117, 106, 92, 126
What is the alternative hypothesis for this study?
Worker productivity is higher with automatic dispensers.Automatic dispensers fill cups faster than manual dispensers. Worker productivity is lower with automatic dispensers.There is no difference in worker productivity between restaurants with automatic and manual dispensers.
What rank will be given to the observation value, 118 that is in both the automatic and manual groups? (Round answer to 1 decimal)
When rounding the U test statistic up to the next value, what is the p-value from the Mann Whitney Table of p-values? (Round to 4 decimal places)
What can be concluded from this study at a 1% significance level?
There is no difference in worker productivity between restaurants with automatic and manual dispensers.Worker productivity is higher with automatic dispensers. Automatic dispensers fill cups faster than manual dispensers.Worker productivity is lower with automatic dispensers.
Answers
Answer:
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
The Rank for Group1 is 115.5 and Group 2 is 55.5.
Conclusion is that Worker productivity is higher with automatic dispensers.
Step-by-step explanation:
The null and alternative hypotheses are
H0: Group1 ≤ Group2 against the claim
Ha: Group1 > Group2
Alternative hypothesis is that Worker productivity is higher with automatic dispensers.
Calculations:
Group1 Group2
Sample Mean x ` 139.22 114.67
Sample size n 9 9
Sample SD 18.21 11.937
Rank 115.5 55.5
U 10.5 70.5
The Rank for Group1 is 115.5 and Group 2 is 55.5.
1. H0 hypothesis
As p-value < alpha and Z lies in the critical region, H0 is rejected.
The randomly selected value of Group1's population is considered have greater productivity than the randomly selected value of Group2's population.
2. P-value
The p-value equals 0.0046.
3. Test statistics
Z= u-μ+c/σ
The critical region for one tailed test for z at 0.01 significance level is
z > 2.33.
The test statistic Z equals 2.6063, which lies in the critical region of acceptance z> 2.326
4. Conclusion
As the calculated test statistic lies in the critical region H0 is rejected and it is concluded that
Worker productivity is higher with automatic dispensers.
Which expressions listed on the left are equivalent to √36a^8/225a^2? Check all that apply. (Assume that a ≠ 0.)
Answers
Answer: ABE
Step-by-step explanation:
Answer: a b e
Step-by-step explanation:
Help please I need it right now thanks
Answers
Answer:
The number of data values between the lower quartile and the median is less than the number of data values between the upper quartile and the median.
Step-by-step explanation:
What is the measure of angle x?
Enter your answer in the box.
Answers
Answer:
x = 48º
Step-by-step explanation:
x = 90 -42
x = 48º
Help within 10 min pleeeeeeeeeease
Answers
Answer:
10
Step-by-step explanation:
Which statement describes -1/11 ?
Answers
Answer:
B
Step-by-step explanation:
because it ends up being -0.09090909...
Step-by-step explanation:
becous is end o.0909090
I am an arc that measures between Oº and 180° WHAT AM I?
Answers
Answer:
a semicircle?
Step-by-step explanation:
A flea is jumping around on a number line
Answers
b is -4 for both
c is 3 or -3
d is -7 or 7
There is an image below. Is ThIs CoRrEcT? If it's wrong, what is it?
Answers
quadrant 2
quadrant 3
11. You earn $500 in 80 hours. At that rate. how much would you eam in 200 hours?
Answers
Answer:
Should be 1250$
Answer:
1250
Step-by-step explanation:
First we divide 500 divide by 80 that will give you 6.25
So then you multiply 6.25 by 80 to get sure then if you are sure, yo will multiply 6.25 by 200 that will give you, 1,250.
will give more p0ints if correct
Answers
Answer:
REVENGE
Step-by-step explanation:
Answer:
Answer is im not sure
Which graph represents the inequality y ≥ x + 3m
Answers
Answer:
Pardon, ne
Step-by-step explanation:
Pleas hlp am going to fail here are the options
Answers
Answer:
10+2b
Step-by-step explanation:
do 2(b+3)
2xb + 2x3
2b+6
4+(2b+6)
10+2b
hope that helped
how do you add 44÷44?
stu.pid questions
Answers
Answer: You can't unfortunatly. 44 divided by 44 is 1 though
Step-by-step explanation:
Write 0.59 as a fraction in simplest form.
A
59
1000
O
B
100
59
c
59
100
D. 59
10
HURRY
Answers
Answer:
C. 59/100
Step-by-step explanation:
HELPPPP MEEEEE ITS 5 GRADE MATH IK HELP ME IM FAILING RN :(((((
Answers
Answer:
i think c
Step-by-step explanation:
Answer:
Gross income for an individual—also known as gross pay when it's on a paycheck—is the individual's total pay from their employer before taxes or other deductions. This includes income from all sources and is not limited to income received in cash; it also includes property or services received.
Net income- In business and accounting, net income is an entity's income minus cost of goods sold, expenses, depreciation and amortization, interest, and taxes for an accounting period.
I think its B
Step-by-step explanation:
ed on exam
115. Which is the equation of a
quadratic function with x-intercepts
(-5,0) and (1,0)?
a. y = x2 - 4x - 5
b. y = x2 - 4x + 5
c. y = x2 + 4x - 5
d. y = x2 + 4x + 5
Answers
Answer:
I believe it is C, y= x^2 +4x -5
Explain in words how you would graph the following inequality on a number line. 3x < 12 HELPPPPPPPPPPP PLSSSSSS
Answers
Answer:
x<4
Step-by-step explanation:
3x < 12
Divide with 3 on each side
x< 4
In words x has all the real numbers that are less than 4 or x belongs to any number from -ve infinity to 4.
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
We have,
To graph the inequality 3x < 12 on a number line, we can follow these steps:
- Start by isolating x by dividing both sides of the inequality by 3, which gives us x < 4.
- Draw a number line and mark a point at 4, which is the boundary between the values of x that satisfy the inequality and those that don't.
- Since the inequality is strict (i.e., "less than" and not "less than or equal to"), we need to indicate that the point x = 4 is not included in the solution set.
We can do this by making an open circle (or "unfilled dot") at 4 on the number line.
- Shade the portion of the number line to the left of the point x = 4, since these are the values of x that satisfy the inequality 3x < 12.
We can use an arrow pointing to the left to indicate that the shaded region extends indefinitely in that direction.
Thus,
The graph of the inequality 3x < 12 on a number line would consist of an open circle at 4, followed by a shaded region to the left of 4 and extending indefinitely in that direction.
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ3
How much interest would Ms. Saver earn at the end of 1 year if she placed $5000 in a
bank that paid 3% interest?
A $10.50
B. $15.00
C. $150.00
D. $1500.00
Answers
The measure of the angles of a triangle are shown in the figure below. Solve for x
Answers
Step-by-step explanation:
x+39+90=180 ( sum of angle of triangle is 180)
x=61
Can someone please help me I will mark u brilliant
Answers
Answer:
Step-by-step explanation:
9
Answer: 8
Step-by-step explanation:
First, all the times are 5, 5, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 10. Second, you put them in ordet, but that’s already done. Then the median is the middle. The number in the middle is 8.
Let f(x)=-2x+6 and g(x)=10x-8
[tex]\frac{f}{g} (-3)[/tex]
Answers
Answer:
f(10x-8)=-20x+22
f(g(x))
possibly
g(-2x+6)=-20x+52
g(f(x))
If needing a different answer math-way can possibly help you as it helped me.
solve the system:
3x-2y=1 2x+5y=3
a.) x=1, y=1
b.)x=-1,y=-1
c.)x=11/19, y= 7/19
d.)x=-19/2,y=22/5
e.)x=17/3, y=8
Answers
Please answer the question correctly with factual information for brainliest.
Answers
Answer:
3 and 4
Step-by-step explanation:
3^3 = 27
4^3 = 64
NEED ANSWERS FAST!!!! If there are 100 students in a room and 40 of them are boys, how many are girls?
Answers
Answer:
60
Step-by-step explanation:
100 - 40 = 60
Common Math
Combine like terms to create an expression equivalent to: n +n + n + y + y
Answers
Answer:
[tex]3n+2y[/tex]
Step-by-step explanation:
LIKE TERMS: TERMS WHOSE VARIABLES AND EXPONENTS ARE THE SAME.
[tex](1)n+(1)n+(1)n+(1)y+(1)y[/tex]
When combining variables that do not have coefficients, there is always an invisible '1' in front of the variable.
[tex](1)n+(1)n+(1)n = 3n.[/tex]
[tex](1)y+(1)y=2y.[/tex]
[tex]3n+2y.[/tex]
help! Is this correct? If not can i please have a correction?
Answers
The answers are correct, however in the first box it should be 22y instead of just 22. Same with the 6 it should be 6x.
Can someone just check and tell me if this is right. If it's not correct can you explain how to do it?
Answers
AnswerI think its crrect]
Step-by-step explanation:
Answer:
75°
Step-by-step explanation:
When a quadrilateral is incribed in a circle, opposite angles equal 180.
180-105=75
Regardless of age, about 20% of American adults participate in fitness activities at least twice a week. A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week. Is this evidence of a decline in participation after age 40? Use α = .05. a) Write test hypothesis b) Compute test statistic. c) Apply any method to draw conclusion.
Answers
Answer:
The null hypothesis is [tex]H_0: p = 0.2[/tex]
The alternate hypothesis is [tex]H_a: p < 0.2[/tex]
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Step-by-step explanation:
20% of American adults participate in fitness activities at least twice a week. Test if there is evidence of a decline in participation after age 40.
At the null hypothesis, we test that the proportion is of 0.2, so:
[tex]H_0: p = 0.2[/tex]
At the alternate hypothesis, we test if the proportion is less than 0.2, indicating a decline. So
[tex]H_a: p < 0.2[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
20% is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8}[/tex]
A random sample of 100 adults over 40 years old found 15 who exercised at least twice a week.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.2}{\frac{\sqrt{0.2*0.8}}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a pvalue of 0.1056.
The p-value of the test is 0.1056 > 0.05, which means that there is not evidence of decline in participation after age 40 using α = 0.05.
Carlos va a comprar un televisor que tiene un costo de c doláres. El impuesto gubernamental
de valor añadido es del 16%. ¿Cuál es la ecuación que MEJOR modela el pago total en
dólares, p, que hará Carlos en está en esta compra? *
Answers
Answer:
b
Step-by-step explanation: