Answers
Given:
Radius of in circle (r) = 2 cm
Radius of out circle (R) = 4 cm
To find:
The area of the shaded region.
Solution:
The value of π = 3.14
Area of in circle = πr²
= 3.14 × 2²
Area of in circle = 12.56 cm²
Area of out circle = πR²
= 3.14 × 4²
Area of out circle = 50.24 cm²
Area of the shaded region = Area of out circle - Area of in circle
= 50.24 - 12.56
= 37.68 cm²
The area of the shaded region is 37.68 cm².
Related Questions
Just Checking
2. A consumer watchdog organization received customer complaints about
the performance of one brand of batteries. To investigate, the researchers
purchased 24 of these batteries and ran them until they died. This sample
lasted a mean of 47 hours with a standard deviation of 3 hours.
a) What assumption must we make about battery life in order to use a t
model?
b) Find a 95% confidence interval for the mean lifespan of this brand of
batteries.
c) Write a conclusion based on your confidence interval.
Answers
The radius of a circle is 2 miles. What is the diameter?
2 mi
Give the exact answer in simplest form.
Answers
Answer:
S
Step-by-step explanation:
Answer:
4 Miles
Step-by-step explanation:
D=r2
PLEASE HELP NEED ASAP
Answers
Answer:
Side WZ=9
Step-by-step explanation:
Since he two are similar you need to make a ratio of the two parallelograms
The first tells you side FE is 2 and side EH is 3 so write it like this 2/3.
Next you need to do the same thing with the second parallelogram, so you know side XW is 6 but you don't know side WZ so you'd write this one 6/x.
You can do this since FE is similar to XW, because it is the same shape just bigger.
Next you take the two fractions adn set them equal to each other.
2 6
_ = _
3 x
Now cross multiply (2 timesx and 6 times 3)
It should look like this now
2x=18
Now all you have to do is divide by 2.
The table lists the number of male and female students at Lakeside High school.
What is the probability of selecting a female student?
A) 161/324
B) 1
C) 161/163
D) 1/2
Answers
Answer:
C) 161/163
Step-by-step explanation:
First, you add up all the students for both genders.
Female- 193+ 214 +197+ 201 = 805
Male- 216+ 207+ 198 + 194 = 815
That gives you a fraction on 805/815 which you simplify to 161/163
So your answer would be C, 161/163 :)
Answer:
A. [tex]\frac{161}{324}[/tex]
Step-by-step explanation:
I got it right on my quiz!!
HELP PLS
What is the approximate distance from Denver to Chicago? Use proportional relationships to solve the problem. Show your work.
Answers
Answer:
About 1000 miles
Step-by-step explanation:
x^2-5x-36/x-2 ÷(x^2-18x+81)
Answers
how many lines of symmetry does a star have?
Answers
Answer:
I believe it is 5 lines
Step-by-step explanation:
Answer:
5 (If it is a 5 pointed star)
Step-by-step explanation:
Just count
What's the ratio in simplest form 20/60
Answers
Answer: 1/3 is the simplest form.
Step-by-step explanation:
All I did was see if 60 could be divided into 20, and it can.
60 divided by 20 = 3
Now I have to do the same with the 20.
20 divided by 20 = 1
Now I have 1/3.
Thats how I solved it.
Hope that helps!
Which set of ordered pairs does NOT represent y as a function of x?
Question 5 options:
{(1, 1), (2, 1), (3, 1)}
{(1, 1), (2, 2), (2, 3)}
{(1, 2), (2, 3), (3, 3)}
{(1, 2), (1, 3), (1, 1)}
Answers
Answer:
the 3rd choice
Step-by-step explanation:
Answer:
The last one {(1, 2), (1, 3), (1, 1)}
Step-by-step explanation:
This is because the domain x is repeated. For a set of ordered pairs to be a function the domain can not repeat.
Which is a Linear Equation?
A. Y=3-2x
B. Y= -7x^2
C. Y=2-3x^2
D. Y=-7×^3
Answers
Answer:
(A)
Step-by-step explanation:
A linear equation can be written in slope intercept form, [tex]y=mx+b[/tex].
X must be in it's first power in a linear equation. X being in any other power will result in a curved line.
This eliminates B, C and D already. X is not in it's first power in the given three options.
The best option is A.
By accident, 6 burned out bulbs have additionally been mixed in with 26 good ones. Ken is replacing
old bulbs in his house. If he selects two bulbs at random from the box of 32, what is the probability
they both work?
Answers
The probability of randomly selecting two good bulbs is equal to 0.665.
How to find the probability?
So, we have a set of 32 bulbs, such that 26 are good and 6 are burned.
The probability of randomly selecting one good bulb is equal to the quotient between the number of good bulbs and the total number of bulbs.
It gives:
P = 26/32
Now, for the next bulb, the probability is computed in the same way, but now there are 25 good bulbs and 31 in total, so the probability is:
P' = 25/31
The joint probability is given by the product between the two individual probabilities:
p = (26/32)*(25/31) = 0.655
If you want to learn more about probability:
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Which interval shows the greatest number of students?
Answers
Based on the histogram, an interval that shows the greatest number of students is: A. 0 - 1.99.
What is a histogram?In Mathematics and Statistics, a histogram refers to a type of graph that is used for the graphical representation of a data set into user-specified ranges, especially through the use of rectangular bars.
Based on the information provided in the histogram, a frequency table can be that models the data set can be completed as follows;
Class interval (hours) Number of students
0 - 1.99 7
2 - 3.99 6
4 - 5.99 3
6 - 7.99 4
8 - 9.99 1
By critically observing the frequency table above, we can logically deduce that the class interval with the highest frequency is 0 - 1.99 with a value of 7.
In conclusion, 7 students study between 0 and 2 hours per week.
Complete Question:
A survey of sixth-grader students recorded how many hours students studied each week. The histogram below displays the collected information.
Which interval shows the greatest number of students?
0 - 1.99
2 - 3.99
4 - 5.99
6 - 7.99
A bag contains 5 red, 4 green, and 3 blue marbles. What is the probability of randomly picking a green marble, replacing it, and then randomly picking a blue marble?
Answers
Final answer:
The probability of first picking a green marble, replacing it, and then picking a blue marble from a bag containing 5 red, 4 green, and 3 blue marbles is 1/12.
Explanation:
The question is about calculating the probability of selecting a green marble and then a blue marble from a bag with a replacement in between the picks. The process involves two independent events since the green marble is replaced before picking the blue marble.
To calculate the probability of picking a green marble first, we consider the total number of marbles and the number of green marbles. Given there are 5 red, 4 green, and 3 blue marbles, the total number of marbles is 5+4+3=12. The probability of picking a green marble is thus 4/12 or 1/3. Because we replace the green marble, the bag's contents remain the same for the second pick.
The probability of picking a blue marble after replacing the green marble is therefore based on the same total of 12 marbles. The probability is 3/12 or 1/4. Now, since these are independent events, we multiply the two probabilities together to get the overall probability of both events happening in sequence: (1/3) * (1/4) = 1/12.
In summary, the probability of first picking a green marble, replacing it, and then picking a blue marble is 1/12.
Final answer:
The probability of randomly picking a green marble, replacing it, and then randomly picking a blue marble is 1/12.
Explanation:
To find the probability of randomly picking a green marble, replacing it, and then randomly picking a blue marble, we need to first calculate the individual probabilities.
The bag initially contains 5 red, 4 green, and 3 blue marbles. The probability of picking a green marble is 4/12, since there are 4 green marbles out of a total of 12 marbles.
Since the first marble is replaced, the bag still contains the same number of green marbles, so the probability of picking a blue marble on the second draw is also 3/12, since there are 3 blue marbles left out of 12 marbles.
To find the probability of both events happening, we multiply the individual probabilities: (4/12) * (3/12) = 1/12.
how does total revenue differ from marginal revenue
Answers
Marginal revenue is the amount of money you got for selling the last unit of goods or services.
HELP! WILL MARK BRAINLIEST!!!!! QUESTION IN THE PHOTO
Answers
Answer:
Step-by-step explanatio
4x + 3y = 6
-4x + 2y = 14
Answers
Answer:
x= −3/2 y=4
Step-by-step explanation:
Please help it’s for my brother!!
Answers
Answer:
the answers B
Step-by-step explanation:
i got B
Simplify.
-6+[4-(x-2)]
Answers
-6+6-x
-x
Answer : -x
Answer:
-x
Step-by-step explanation:
-6+[4-(x-2)]
Distribute the minus sign
-6+[4-x+2]
Combine like terms
-6+4 +2 -x
-x +0
-x
In the diagram, m angle SUR =32 degrees. Find mRS and m angle STR.
Answers
Because SUR=32, then RS must be 32 and because STR=64. You could also tell this because the shape in the circle is not perfectly symmetrical
Solve for h
35=1/2h (5+2)
Answers
Answer:
10
Step-by-step explanation:
35= 1/2h(7)
1/2 of 7 is 3.5
3.5(10)=35
h=10
Answer:
Solve for h
35=1/2h (5+2)
Multiply (5+2) by 1 divided by 2, then we have
7/2h= 35
cross multiply
35 x 2h= 7
70h= 7
divide both sides by 70
h= 7/70
h= 1/10
Step-by-step explanation:
Hi i need help with this math problem(IN the picture)
Answers
Answer:
138
Step-by-step explanation:
Because they are same-side interior angles, their sum is 180. You set up an equation and get:
180 = 42 + x
Which simplifies to
138 = x
If you horizontally stretch the quadratic parent function, f(x) = x², by a factor
of 3, what is the equation of the new function?
O A. g(x) = x2
O B. g(x) = (3852
O C. g(x) = (3x)2
o D. g(x) = 3x²
Answers
Answer:
d
Explanation:
You multiply the X by 3
In 3 years, a gyms membership went up from 6,400 to 8,400. Which expression shows how to find the percent of increase (A) 2,000/8,400 (B) 2,000:6,400 (C) 6,400/2,000
Answers
Answer:
B. 2000/6400
Step-by-step explanation:
Percent increase is told by the attached formula.
Plugging it in, you get 2000/6400.
What is 0.¯42 expressed as a fraction in simplest form?
Answers
Answer:
Part B (solution): For 0.42... (with the two repeating forever), we need to break up the decimal into the part that does not repeat and the part that repeats.
For the part that does not repeat, pretend that the repeating part is not there (so you have 0.4). Then think about place value. The non-repeating part of this decimal (0.4) is 4 tenths, so write that as a fraction: 4/10.
For the part that repeats, pretend the part that does not repeat is not there (so you have 0.2....). Use the rule of 9s, which tells you to put the repeating part (2) over a nine for every place value that is repeating. In this case there is only one repeating place value (again, 2), so we have 2/9. However, since we skipped a place value (the 4 in our given problem), we need to multiply that place value (in this case 1/10) by 2/9, which is 2/90. Finally, we need to add that to 4/10. Make sure your answer is simplified. Click HERE for help on Question 1.
Part C (solution): For 0.42... (with the four AND two repeating forever), use the rule of 9s. The rule of 9s tells you to put the repeating part (42) over a nine for every place value that is repeating. In this case there is two repeating place values, so we have 42/99. Make sure your answer is simplified. Click HERE for help on Question 1.
Parts A-C (work shown): Please make sure you include all of your work. Click HERE for help on Question 1.
Question 2
Part A (explanation): Please explain what this student did wrong. What was his error? It might be helpful to estimate √75 the way you know how. That should help you see what this student did wrong. Click HERE for help on Question 2.
Part B (solution): Estimate the value of √75 to the nearest tenth. 75 is between the perfect squares 64 and 81. So √75 is between 8 and 9. The distance from 64 to 75 is 11. The distance from 64 to 81 is 17. The ratio is 11/17, or about .647. So, √75 is about .647 bigger than 8. Click HERE for help on Question 2.
Question 3
Part A - (work for π): Approximate the value of π to the nearest tenth. Click HERE for help on Question 3.
Part A - (work for √3): Approximate the value of √3 to the nearest tenth. 3 is between the perfect squares 1 and 4. So √3 is between 1 and 2. The distance from 1 to 3 is 2. The distance from 1 to 4 is 3. The ratio is 2/3, or about .7. So, √3 is about .7 bigger than 1. Click HERE for help on Question 3.
Part A - (work for √5): Approximate the value of √5 to the nearest tenth. 5 is between the perfect squares 4 and 9. So √5 is between 2 and 3. The distance from 4 to 5 is 1. The distance from 4 to 9 is 5. The ratio is 1/5, or .2. So, √5 is about .2 bigger than 2. Click HERE for help on Question 3.
Part A - (work for 2√5): Approximate the value of 2√5 to the nearest tenth. 5 is between the perfect squares 4 and 9. So √5 is between 2 and 3. The distance from 4 to 5 is 1. The distance from 4 to 9 is 5. The ratio is 1/5, or .2. So, √5 is about .2 bigger than 2. Now multiply that value by 2. Click HERE for help on Question 3.
The fraction representation of 0.¯42 in simplest form is 14/33.
To express the repeating decimal 0.¯42 as a fraction in simplest form, we can use a mathematical technique.
Let's represent the repeating decimal as x = 0.¯42.
To remove the decimal part, we can multiply both sides of the equation by 100 (to move the decimal point two places to the right):
100x = 42.¯42.
Next, we subtract the original equation from the one multiplied by 100 to eliminate the repeating part:
100x - x = 42.¯42 - 0.¯42.
Simplifying both sides gives:
99x = 42.
Now, we can divide both sides of the equation by 99 to isolate x:
x = 42 / 99.
To simplify the fraction 42/99, we can find the greatest common divisor (GCD) of 42 and 99 and divide both the numerator and the denominator by it.
The GCD of 42 and 99 is 3:
42 = 3 x 14,
99 = 3 x 33.
Dividing both sides by 3 gives:
42 / 99 = (3 x 14) / (3 x 33) = 14 / 33.
Therefore, the fraction representation of 0.¯42 in simplest form is 14/33.
Learn more about repeating decimal click;
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Find the slope
(-8, 18) and (-14, -3)
Answers
Answer:
[tex]m=\frac{7}{2}[/tex]
Step-by-step explanation:
Step 1: Find the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{-3 - (18)}{-14-(-8)}[/tex]
[tex]m = \frac{-21}{-6}[/tex]
[tex]m=\frac{7}{2}[/tex]
Answer: [tex]m=\frac{7}{2}[/tex]
6. In the year of 2017, the highest number of ambulance calls in a month was 8,312. The
lowest number of ambulance calls in a month was 791 times. The difference between the
highest and lowest use in a month is about ______ calls.
a. 7,300 b. 7,500 c. 7,800
Answers
Answer: The answer would be (b), or 7,500
Step-by-step explanation:
Stack the numbers and have 8,312 on top of 791Subtract You get the answer 7,521Round to the nearest hundred by looking at the tens place, anything below 5 will round it down to 500 and anything 5 or more will round it up to 600You end up with 7,500 as your rounded answer (about is a clue word to let you know you need to round)Which of the given points would be in a table generated by the equation below?
pm + gy = 5
А. (0, 9)
B. (0, й)
C. , о)
D. (2 , 0)
Answers
I have a few questions!
a) x−1.27=4.09
b) 2.3−y=2.301
c) t+3.04=14.3
d) 1.1+k=5.67
Answers
Answer:
a.) x = 5.36
b.) y = - 0.001
c.) t = 11.26
d.) k = 4.57
Step-by-step explanation:
a) x−1.27=4.09
b) 2.3−y=2.301
c) t+3.04=14.3
d) 1.1+k=5.67
Solving. right?
a.) x = 4.09 + 1.27 = 5.36
b.) y = 2.3 - 2.301 = - 0.001
c.) t = 14.3 - 3.04 = 11.26
d.) k = 5.67 - 1.1 = 4.57
A math teacher who likes baseball conducts a survey of 100 students. He asked the students about their favorite sport and about their favorite subjects in order to determine the number of students who like math or baseball. The two way table below shows part of the results of the survey. Enter the percentage of students in the survey who’s favorite subject is math or who’s favorite sport is baseball.
[this is written response, so there are no answer choices]
Answers
Answer:
46%
Step-by-step explanation:
see image attached!
What is the mean absolute deviation of the data: 10, 20, 15, 17, and 13?
Answers
Answer:
2.8
Step-by-step explanation:
1) find the mean of the data set. = 15
2) find the abs value of the diff between each data value and the mean: |data value – mean|.
|10-15|=5, |20-15|=5, |15-15|=0, |17-15|=2, |13-15|=2
3) find the sum of the abs values of the diff = 14
4) divide the sum of the abs value by the number of data values = 14/5 = 2.8