A circle of a radius r,cm inside a square, so that the circle touches the sides of the square.
a) calculate the area of the shaded region when r=6
Answers
Answer:
30.9 square cm
Step-by-step explanation:
subtract area of circle from area of square
Area of square = 12² or 144
(each side is twice the radius)
Area of circle = 6²π or 113.1
Related Questions
Jocelyn boils 24 eggs. From experience, she knows that the shell of any given during the boiling process. If shells crack independently, what is the probability the boiling process with a cracked shell? Round to 2 decimal places.
Answers
Answer:
.62
Step-by-step explanation:
Keep it nice and simple.
Answer:
.62
Step-by-step explanation:
-1=5+x/6 how do you solve the equation?
Answers
-1=5+1/6x
Now multiply both sides by 6 and you’ll get -6=30+x
Then move the variable to the left side and change the sign.
-x-6=30
Then you will add 30 and 6 and you will get 36.
Now after that you will change the signs on both the equations and you will get your answer x=-36!
The principle of superposition is a useful technique in developing solutions to differential equations after an initial solution is derived. In developing such solutions it is often convenient to consider separately the response of a system to initial conditions with all forcing function inputs equal to zero, and, secondly, the response to the forcing function with all initial conditions equal to zero. Consider the following differential equation:
dy/dt + ay= bus(t)
with y(c)=0
a. Determine the solution y_i(t) to the equation for nonzero, finite values of a and c, and for b = 0.
b. Determine the solution y_u(t) of the equation for nonzero, finite values of a and b, and for c = 0.
Answers
Answer:
A) [tex]y_{i}(t) = C.e^{-at}[/tex]
B) [tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex] t > s
Step-by-step explanation:
Attached below is a detailed solution of the given problem
Given equation:
dy/dt + ay = [tex]bu_{s}(t)[/tex] with Y(c) = 0
A) Determine the solution [tex]Y_{i}(t)[/tex]
[tex]y_{i}(t) = C.e^{-at}[/tex]
B) Determine the solution [tex]Y_{u} (t)[/tex]
[tex]y_{u}(t) = - \frac{b}{a} e^{-at} + \frac{b}{a}[/tex]
According to an online survey by Harris Interactive for job site CareerBuilder, more than half of IT (information technology) workers say they have fallen asleep at work (InformationWeek, September 27, 2007). Sixty-four percent of government workers admitted to falling asleep on the job. Consider the following contingency table that is representative of the survey results.
Slept on the Job IT Professional Government Professional
Yes 155 256
No 145 144
1. Convert the contingency table into a joint probability table. (Round the intermediate calculations and final answers to 4 decimal places.)
2. What is the probability that a randomly selected worker is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
3. What is the probability that a randomly selected worker slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
4. If a randomly selected worker slept on the job, what is the probability that he/she is an IT professional? (Round the intermediate calculations and final answers to 4 decimal places.)
5. If a randomly selected worker is a government professional, what is the probability that he/she slept on the job? (Round the intermediate calculations and final answers to 4 decimal places.)
6. Are the events "IT Professional and Slept on the Job" independent? Explain.
Answers
Answer:
Follows are the solution to this question:
Step-by-step explanation:
[tex]Frequency\ total = 155 + 256 + 144 + 145 = 700;[/tex]
In point (1):
Now that it is possible to obtain the joint distribution as:
[tex]IT\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ G \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ Total[/tex]
[tex]Yes \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{155}{700} = 0.2214\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{256}{700} = 0.3657 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5871\\\\No \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{145}{700} = 0.2071\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \frac{144}{700} = 0.2057\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4128\\\\Total \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.4285 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 0.5714\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1[/tex]
In point (2):
Likely that now It (the IT column total throughout the table above) seems to be the random individual selected = 0.4285;
Here, 0.4285 is the necessary probability.
In point (3):
The way of its worker's sleep at work =0.5871 ( first row total in the above table )
Here 0.5871 was its required probability.
In point (4):
In this as employee slept at work, he is likely to also be from IT to be calculated with:
[tex]=\frac{\text{probability he was just an IT-former but was asleep at work}}{ \text{possibly he worked at work}}\\\\=\frac{0.2214}{0.5871} \\\\ =0.3771 \text{was its probability required here}.[/tex]
In point (5):
In an individual is also an official government, its chance of getting sleep at work is measured when:
[tex]= \frac{\text{Probability he is professional in business slept at work}}{\text{or that he is officially in business}} \\\\= \frac{0.3657}{0.5714}\\\\ = 0.6400 \text{is the required probability here}.[/tex]
In point (6):
[tex]\to P(IT) \ P(Yes) = 0.4285 \times 0.5871 = 0.2516 \\\\\to P(IT and Yes ) = 0.2214 \\\\[/tex]
Therefore, 2 cases aren't independent, because P(IT) P(Yes) is not the same as P(IT and Yes), which also implies that P(IT|Yes) is not the same as P (IT), therefore "[tex]\text{No because P("IT " | "Yes")} \neq P("IT")[/tex]" is correct.
Some data sets include values so high or so low that they seem to stand apart from the rest of the data. These data are called outliers. Outliers may represent data collection errors, data entry errors, or simply valid but unusual data values. It is important to identify outliers in the data set and examine the outliers carefully to determine if they are in error. One way to detect outliers is to use a box-and-whisker plot. Data values that fall beyond the limits
Lower limit: Q1 − 1.5 ✕ (IQR)
Upper limit: Q3 + 1.5 ✕ (IQR)
where IQR is the interquartile range, are suspected outliers. In the computer software package Minitab, values beyond these limits are plotted with asterisks (*). Students from a statistics class were asked to record their heights in inches. The heights (as recorded) were as follows:
65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65
Required:
Make a box-and-whisker plot of the data.
Answers
Answer:
Kindly check attached picture
Step-by-step explanation:
Given the data:
65 72 68 64 60 55 73 71 52 63 61 74
69 67 74 50 4 75 67 62 66 80 64 65
The box and whisker plot generated from the data above can be found in the picture below : The asterisked point on the plot is the value of the Outlier.
Using calculator :
Q1 = 61.25 Q2 = 65.5 ; Q3 = 71.75
IQR = Q3 - Q1 = 71.75 - 61.25 = 10.5
Lower limit: Q1 − 1.5 * (IQR)
61.25 - 1.5(10.5)
61.25 - 15.75 = 45.5 (all values below 45.5)
Upper limit: Q3 + 1.5 * (IQR)
71.75 + 1.5(10.5)
71.75 + 15.75 = 87.5 (all values above 87.5)
Hence, the box and whisker plot summary :
Sample size: 24
Median: 65.5
Minimum: 4
Maximum: 80
First quartile: 61.25
Third quartile: 71.75
Interquartile Range: 10.5
Outlier: 4
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answers
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
Divide. Then, check your work with multiplication. 12.21 / 11
Answers
Answer:
1.11
Step-by-step explanation:
Answer:
1.11
Step-by-step explanation:
12.21/11 is equal to 1.11
to check with multiplication, 1.11*11 = 12.21
2. el valor absoluto, el valor relativo y el porcentaje en los siguientes datos:
1) Al tomar 3,5 m como longitud de un terreno que mide realmente 3,59 m.
2) Al considerar 60 Calcula m como la distancia entre dos postes que están situados a 59,91 m.
3) En la medida de 1 m se ha cometido un error de 1 mm, y en 300 Km, 300 m. ¿Qué error relativo es mayor?
4) Como medida de un radio de 7 dm hemos obtenido 70.7 cm. Calcula el error absoluto y el relativo.
5) Al medir la distancia entre dos pueblos, sabemos que el valor real es de 5,478 Km.
a) Aproxima la distancia hasta las décimas por redondeo.
b) Calcula el error absoluto cometido en ambos casos.
c) Calcula el error relativo cometido en ambos casos.
d) Justifica, de acuerdo con los resultados anteriores, qué aproximación es mejor
esto es de fisica
Answers
àaaaaaaaaaaaass la verdad no se
Someone plz helpppp
A chemistry teacher needs to mix a 40% salt solution with a 70% salt solution to make 25 qt of a 52% salt solution. How many quarts of each solution should the teacher mix to get the
desired result?
40% salt solution=?qt
70% salt solution=?qt
Answers
Answer:
Step-by-step explanation:
We assume we need x qt of 40% and y qt of 70%
40/100 x + 70/100 y = 52/100 (x+y)
So 3y = 2x, which means y = 2/3x
And we know that x + y = 25qt
So x + 2/3x = 25qt
So x = 15 and y = 10
You are considering purchasing either a medium or a large pizza.
Medium Pizza
12-inch diameter
Large Pizza
14-inch diameter
How much greater, in square inches, is the area of the large pizza than the
medium pizza? Select the best answer below.
Answers
Use the rectangle below to answer both part 1 and part 2
X+5
Part 1: Write an equation to find the value of x, if the area of the rectangle is 48 in?
Equation:
Part 2: What is the value of x, if the area of the retangle is 48 in2? Solve your equation from part 1.
X =
Blank 1:
Blank 2:
Answers
Answer:
i believe the equation is x = 48 ÷ 4 - 5
and x = 7
Step-by-step explanation:
you will need to take the are devided by width, because area is length times width. then subtract 5.
48÷4=12
12-5=7
PLs help me I will give brainliest please dont answer if you don’t know
Answers
Answer:
Interest earned will be $1,118.00
Step-by-step explanation:
Interest = Principal x Rate x Time
I = 6500 x .043 x 4
Find an equation of a line with slope -4 and y-intercept 9. y =
Answers
Answer:
Y= -4X+9
Step-by-step explanation:
solve the equation by the help of the standard equation Y = MX + C
where M is the slope and C is the Y intercept
if Lauren robed (22+34) bread from the bread factory how much bread would she have.
Answers
Answer:
22 + 34 = 56
Step-by-step explanation:
um you just add
Answer:
56 bread
Step-by-step explanation:
22 + 34 = 56
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answers
Answer:
Step-by-step explanation:
The change in y over the change in x between points is the slope. 53-29 over 3-2 is the slope. 24/1 is 24. You need the equation in y=mc+b form. b is the y intercept. (0, -19) is the point from the table containing the y int.. b=-19. Plug 24 and -19 into mc+b. To get y=24x-19
Use the given points to answer parts 1, 2, and 3. Include all of your work in your final answer. Type your answer in the box provided or use the upload option to submit your
solution.
(6, 1) and (5, 4)
Part 1: Find the slope of theline that passes through the given points, (6, 1) and (6,4).
Part 2: Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Part 3: Write the slope-intercept form of the line that passes through the points (6, 1) and (5, 4).
Answers
Answer:
Write the point-slope form of the line that passes through the points (6, 1) and (5, 4).
Step-by-step explanation:
What is equivalent to 1/3(x9x + 12) + 4x + 6
Answers
Answer:
1/3(9x+12)+4x+6=x
We move all terms to the left:
1/3(9x+12)+4x+6-(x)=0
Domain of the equation: 3(9x+12)!=0
x∈R
We add all the numbers together, and all the variables
3x+1/3(9x+12)+6=0
We multiply all the terms by the denominator
3x*3(9x+12)+6*3(9x+12)+1=0
Wy multiply elements
9x^2(9+18x(9+1=0
Step-by-step explanation:
PLEASE ANSWER FAST!!
Simplify: 12.9 - 2.8 - 7.2 + 9.1
17.6
-6.2
26.4
12
Answers
Answer:
12
Step-by-step explanation:
If you can buy 4 containers of pudding for $4.20 how much can you buy for $9.45 math problem PARAMETERS
*** 7 STEPS ***
Answers
Answer:
9 containers
Step-by-step explanation:
$4.20 for 4 containers
Form that we can find the cost per container, the unit cost.
$4.20 / 4 containers = $1.05/container
Each container costs $1.05
Now we find the number of containers we can buy with $9.45 by dividing $9.45 by the unit cost.
$9.45/($1.05/container) = 9 containers
Answer: 9 containers
Step-by-step explanation:
Four containers of pudding cost $4.20.
4x = 4.20
x = 1.05
Using this we know that one container of pudding costs $1.05.
Then, divide the maximum amount that you have by the cost of one.
9.45/1.05 = 9
With $9.45, you can buy nine cups of pudding.
In the case that you can buy the four containers in bulk (4 at a time)...
You can only buy 8 containers of pudding (two) because $4.20 only fits into $9.45 twice.
Which expression is equivalent to
(a*b*c) f(вазь) (20°) ,
4a°ь123
Зас7
65
14
9ac
b3
0
12ас 14
63
9ас?
b5
Answers
Answer:
the answer is C, here is an app or website that u could use for math :)
simplify (-4/5)^9/(-4/5)^10
Answers
Answer:
so (-4/5)^9/(-4/5)^10=−1,25
7. Last school year, there were 520 learners in Mangga Elementary School 1. If 85% of these
learners were enrolled online this school year, how many learners were enrolled online?
A. 78
B. 435
C. 442
D. 605
Answers
Answer:
442
Step-by-step explanation:
100%-> 520
85%-> 442
17. A cereal company fills every box with 48 ounces of cereal. The company allows
each box of cereal to be within a tolerance of 0.5 ounces. What is an expression
for the actual weight of the boxes?
Answers
Answer:
47.5 ≤ 48 ≥ 48.5
Step-by-step explanation:
Answer:
47.5 < x < 48.5
Step-by-step explanation:
A box can have more than 47.5 ounces and less than 48.5 ounces.
47.5 < x < 48.5
1525 hours denotes 3:25 pm
Answers
it will be
10 hours
and 52 mintues
Answer:
15:25 is the same as 3:25 pm.
Step-by-step explanation:
In military time, they use 24 hour clock, instead of a 12 hour one. So instead of changing to 1 after 12, continue counting regularly, so the 15th hour would be the same as the 3rd hour in the pm.
Use the distributive property to multiply. Simplify your Answer.[tex](3y + 5)(3y^{2} +2y-6)[/tex]
Answers
9y^3+21y^2-8y-30
..
There is a 15% off sale on a
PlayStation 5. If the original
cost is $700, what is the
sale price of the
PlayStation?
Answers
Answer:
$595
Step-by-step explanation:
It is given that y =x^2. If x is increased by 10%, find the percentage change in y.
Answers
Answer:
Step-by-step explanation:
y = x^2
X increased by 10% = 1.10x
(1.10x)^2 = 1.21x^2
y increases by 21%
what's the correct answer please
A mite measures 0.00091 of a meter long. Which of the following correctly represents this in Scientific Notation?
9.1x10^4
9.1x10^-4
9.1x10^3
9.1x10^-3
Answers
Answer:
9.1x- 10000
9.1 x 10^-4
Step-by-step explanation:
b
How do I solve for w?
Answers
Answer:
w = 8
Step-by-step explanation:
Based on the altitude theorem of a right triangle, we have:
w + 4 = √(24*6)
w + 4 = √144
w + 4 = 12
w + 4 - 4 = 12 - 4
w = 8
The number of measles cases decreases by 9 percent to 508 cases. What was the number of cases before the decrease
Answers
Answer:
558
Step-by-step explanation:
The original number of cases of measles was x.
x was 100% of the number of cases of measles.
The number of cases then went down by 9%.
100% - 9% = 91%
The number of cases now is 91% of the original number, or 91% of x. We are told the number now is 508, so 91% of x must equal 508.
91% of x = 508
0.91x = 508
x = 508/0.91
x = 558.241...
Answer: 558
