In the diagram, point D is the center of the medium-sized circle that passes through C and E, and it is also the center of the largest circle that passes through A and G. Each of the diameters of the small circles with centers B and F equals the radius of the medium-sized circle with center D. The shaded area is what fraction of the largest circle?Single choice.
Answers
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Answer:
5/8
Step-by-step explanation:
The area of the smaller circles is proportional to the square of the ratio of their diameters. The two smallest circles have diameters equal to 1/4 the diameter of the largest circle. Hence their areas are (1/4)^2 = 1/16 of that of the largest circle.
Similarly, the medium circle has a diameter half that of the largest circle, so its area is (1/2)^2 = 1/4 of the are of the largest circle.
The smaller circles subtract 2×1/16 +1/4 = 3/8 of the area of the largest circle. Then the shading is 1-3/8 = 5/8 of the area of the largest circle.
Related Questions
ANSWER ASAP IM BEING TIMED
IF I GET AN A ON THIS I WILL DO ANOTHER POINT FREE DROP, PLEASE SHOW YOUR WORK
The side of a square measures (4x − 7) units.
Part A: What is the expression that represents the area of the square? Show your work to receive full credit. (4 points)
Part B: What are the degree and classification of the expression obtained in Part A? (3 points)
Part C: How does Part A demonstrate the closure property for polynomials? (3 points)
(10 points)
Answers
Step-by-step explanation:
Area of a square = s x s
(4x-7)x(4x-7)
Open brackets
4x(4x-7)-7(4x-7)
16x^2-28-28x+49
16x^2-28x+21
A little help?? It’s trig
Answers
Answer:
12 [tex]\pi[/tex] = 37.699 f/s
Actually, the more interesting question
would have been how fast is the ball going in MPH?
25.7 MPH
Step-by-step explanation:
C = 2[tex]\pi r[/tex]
C = 2 [tex]* \pi * 1.2[/tex]
C = 2.4 [tex]\pi feet[/tex]
C (per second) = (5)(2.4 [tex]\pi feet[/tex])
C(per second) = 12 [tex]\pi[/tex] = 37.699 f/s
HW HELP PLZZZZ ASAPPPP
Answers
Answer:
[tex]\frac{3v}{a^{2}} = h[/tex]
Step-by-step explanation:
[tex]v = \frac{1}{3} a^{2} h[/tex]
[tex]3v = a^{2} h[/tex]
[tex]\frac{3v}{a^{2}} = h[/tex]
Round 948070 to the nearest hundred? Hurry please
Answers
Answer:
9.48
Step-by-step explanation:
An electronic system contains three cooling components that operate independently. The probability of each component's failure is 0.05. The system will overheat if and only if at least two components fail. Calculate the probability that the system will overheat.
Answers
Answer:
[tex]Pr= 0.00725[/tex]
Step-by-step explanation:
Given
[tex]p = 0.05[/tex] ---- probability that each component fails
[tex]n = 3[/tex]
Required
[tex]P(System\ Overheats)[/tex]
We understand that the system will overheat if at least 2 component fails; Assume the components are: x, y and z
The events that the system will overheat are: xyz', xy'z, x'yz and xyz
Where ' means that the component did not fail, and the probability is 1 - p (i.e. complement rule)
So, we have:
[tex]xyz' \to 0.05 * 0.05 * (1 - 0.05) = 0.002375[/tex]
[tex]xy'z \to 0.05 * (1 - 0.05)* 0.05 = 0.002375[/tex]
[tex]x'yz \to (1 - 0.05)* 0.05 * 0.05 = 0.002375[/tex]
[tex]xyz \to 0.05 * 0.05 * 0.05 =0.000125[/tex]
So, the required probability is:
[tex]Pr= 0.002375 +0.002375 +0.002375 + 0.000125[/tex]
[tex]Pr= 0.00725[/tex]
GIVING OUT BRAINLIEST IF GIVEN AN ANSWER WITH THOUROUGH EXPLANATION AND NOT JUST AN ANSWER! THANKS!
During the first part of a 6-hour trip, you travel 240 miles at an average speed of r miles per hour. For the next 72 miles of the trip, you
increase your speed by 10 miles per hour. What were
your two average speeds?
Answers
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Answer:
50 mph for 4.8 hours60 mph for 1.2 hoursStep-by-step explanation:
One way to write the relationship between time, speed, and distance is ...
time = distance/speed
For the first part of the trip, the time is ...
t1 = 240/r
For the second part of the trip, the time is ...
t2 = 72/(r+10)
The total time is 6 hours, so we have ...
t1 +t2 = 6
240/r +72/(r+10) = 6
We can simplify this a bit by multiplying by (r)(r+10)/6 to get ...
40(r+10) +12(r) = r(r+10)
r² -42r -400 = 0 . . . . . . . . subtract the left side and collect terms
(r -50)(r +8) = 0 . . . . . . . . factor
r = 50 . . . . . the positive solution of interest.
The two average speeds were 50 mph and 60 mph.
please help please help
Answers
Answer:
1. number line or 3
2. D
3. E and K
4. B
5. A
Brainliest please~
Write the quadratic equation in standard form:
3x2 – 3x = 11
Answers
Answer:
[tex]3x^{2} -3x-11 = 0[/tex]
Step-by-step explanation:
A sample of students was asked what political party do they belong. which of the following types of graphical display would be appropriate for the sample?
A. Stemplot.
B. Pie chart.
C. Scatterplot.
D. All of the above.
Answers
Answer:
B. Pie chart.
Step-by-step explanation:
In this question, the students are asked what political party they belong. The best display format would be one in which the graph can be divided into parts, or percents, according to the percentage of students belonging to each political party. The graph that best describes this, distributing a group into parts, is a pie chart, and thus, the correct answer is given by option b.
Scatterplot is used when two variables correlate together, that is, there is a relationship between them, which we don't have between the number, or proportion of students belonging to each political party. Stemplot are used when there is a high number of quantitative data, which we do not have here.
Consumers Energy states that the average electric bill across the state is $39.09. You want to test the claim that the average bill amount is actually different from $39.09. What are the appropriate hypotheses for this test
Answers
The null hypothesis is [tex]\mu = 39.09[/tex]
The symbol [tex]\mu[/tex] is the Greek letter mu
The alternate hypothesis is [tex]\mu \ne 39.09[/tex] telling us we have a two-tailed test here. The "not equal" is directly tied to the keyword "different" given in the instructions. In other words, mu being different from 39.09 directly leads to [tex]\mu \ne 39.09[/tex]
So either mu is 39.09 or it's not 39.09
You can use H0 and H1 to represent the null and alternate hypotheses respectively.
----------------------
Summary:
The two hypotheses are
H0: [tex]\mu = 39.09[/tex]
H1: [tex]\mu \ne 39.09[/tex]
This is a two tailed test.
what is 4/7 raised to the power of negative 1 as a rational number
Answers
Answer:
7/4
Step-by-step explanation:
(4/7)^-1
We know a^-b = 1/a^b
1/ (4/7)^1
7/4
Answer:
(4/7)^-1
=1/(4/7)^1
=1÷4/7
=1×7/4
=7/4
Therefore 7/4 is equal to 1.75 as a rational number
The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.
Which function represents the value of the car after t years?
f(t)=0.85(21,000)t
f(t)=1.15(21,000)t
f(t)=21,000(0.85)t
f(t)=21,000(1.15)t
Answers
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Answer:
(c) f(t)=21,000(0.85)^t
Step-by-step explanation:
Each year, the value is multiplied by 1-15% = 85% = 0.85. This is correctly shown in the function ...
f(t)=21,000(0.85)^t
XYZ has side lengths that measure 20 centimeters each. Which of the
following best describes this type of triangle?
A. Obtuse triangle
B. Right triangle
C. Scalene triangle
D. Equilateral triangle
Answers
Answer:
it's and equilateral triangle because
all sides are equal
Answer:
equilateral triangle i have a math proffesor helping me
Step-by-step explanation:
I have a math proffesor helping me
ora started watching a movie at 2:45 p.m. She watched the movie for hours before stopping the movie for hours to eat dinner. After dinner, Nora finished watching the remaining hours of the movie. At what time did the movie end?
Answers
Answer: Movies Average around 1 hour to 2 hours long. 1:30 to 2:30 so id say somewhere around 4-5 pm. Which leaves time for dinner after
Step-by-step explanation:
100 POINTS!!!!!
Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Given answer the questions that follow.
a. Your friend claims the graph of f(x)=2x increases at a faster rate than the graph of g(x)=x2 when x ≥ 0. Is your friend correct? Explain your reasoning.
b. How are the 2 functions different?
Answers
Answer:
a. The friend is incorrect.
2(x) is the same as x(2). PEMDAS does not apply to the same order of operation under normal conditions and both are directly proportional functions.
b. The parentheses are the only thing making the functions different. After you simplify from the parentheses, both values have the same priority.
Step-by-step explanation:
AY
5
The slope of the graphed line is 2. Which formulas HELP PLEASEEEE
3
represent the line that is graphed? Check all that apply.
4
1(4,4)
3
(1/2)
Oy-1 = {(x-2)
Oy-2 = {(x - 1)
Oy-4 = (x - 4)
x
2 3 4 5
2
o flux) = { x + 1
3
47
4
f(x) = 2 x + 4
5
Answers
Answer:
y - 2 = 2/3 (x-1)
ORy - 4 = 2/3(x-4)
NOTE ;ALL WILL GIVE THE SAME RESULTStep-by-step explanation:
With this graph,the equation can be found on a straight line as the graph is .
So the formula is
[tex]y - y1 = m(x - x1)[/tex]
where your m is your gradient or slope as already said,the equation can be used by this formula (note;after finding your normal slope (not on a straight line ) firstly)
When you are done take any of the points connecting to the x axis and y axis directly as in (4,-4) or (2,1)
Let your first number be x1 and second y1 and place it in the formula .
NOTE: Y and x is constant and your general solution should be in the form;y = mx +cwhere m is still your normal slope.
(Will mark brainliest!!!) 20 PTS !!
Sixty percent of all children in a school do not have cavities. The probability, rounded to four decimal places, that in a random sample of 9 children selected from this school, at least 6 do not have cavities is:
Answers
Answer:
probability[Number of 6 random sample do not have cavities] = 0.8
Step-by-step explanation
Given:
Number of student do not have cavities = 60%
Number of random sample = 9 children
Find:
Probability[Number of 6 random sample do not have cavities]
Computation:
n = 9
p = 60% = 0.6
P(At least 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than 6)
Probability[Number of 6 random sample do not have cavities] = 1 - P(Less than or equal to 6)
Probability[Number of 6 random sample do not have cavities] = 0.8
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each year. Which expression gives the partial sum, S3, (in thousands)?
Answers
Sam takes a job with a starting salary of $50,000 for the first year. He earns a 4% increase each ear.
Write each expression that gives the partial sum.
Representation:
The given statement can be written as,
Total Money = Starting Salary( 1 + rt)
t = number of years.
r = rate
Total Money = $50,000( 1 + 0.04(t))
Final answer:
Total Money = $50,000( 1 + 0.04(t))
A paper weight is made in the shape of a triangular pyramid.The dimensions of the paper weight are shown The formula for the volume of a triangular pyramid is V = 1/3 Bh .Which expression can be usef to find the value of B the area of the base of the pyramid
Answers
Answer:
[tex]B = \frac{3V}{h}[/tex]
Step-by-step explanation:
Given
[tex]V = \frac{1}{3}Bh[/tex]
Required
Solve for B
We have;
[tex]V = \frac{1}{3}Bh[/tex]
Multiply by 3
[tex]3V = Bh[/tex]
Make B the subject
[tex]B = \frac{3V}{h}[/tex]
How is the graph of
y=-3(5)*-
- 3 translated from the graph of y=
=30594?
A. reflected across the y-axis and 3 units down
B. reflected across the x-axis and 3 units down
C. reflected across the x-axis and 3 units left
D. reflected across the y-axis and 3 units right
Answers
Answer:
Purplemath
Introduces reflections in the x- and y-axes. ... To see how this works, take a look at the graph of h(x) = x2 + 2x – 3. ... The previous reflection was a reflection in the x-axis. ... f (x – b) shifts the function b units to the right.
A particular network service provider charges 50 Kobo per second to make a call. How many minutes will a caller with 300 naira airtime last.
Answers
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Answer:
10 minutes
Step-by-step explanation:
The current legal tender conversion rate is 50 kobo = 0.50 naira. Then the airtime balance is ...
(300 NGN)/(0.50 NGN/s) × (1 min)/(60 s) = 300/(0.50×60) min = 10 min
which linear inequality represents the graph below?
A. y < -1/4x-4
B. y < 4x-4
C. y < -1/4x+4
D. y < -4x+4
Answers
Question 1a) Suppose you sample 100 times at random with replacement from a population in which 26% of the individuals are successes. Write a Python expression that evaluates to the chance that the sample has 20 successes.
Answers
Answer:
from math import comb
n = 100
x = 20
p = 0.26
q = 0.76
print(comb(n, x)*(p**x)*(q**(n-x)))
Step-by-step explanation:
Given that :
Number of trials, n = 100
P(success), p = 26% = 0.26
P(success)' = 1 - p = 1 - 0.26 = 0.74
Chance that sample has 20 successes = x
This problem meets the condition for a binomial probability distribution :
p(x = 20)
Recall :
P(x = x) = nCx * p^x * q^(n-x)
Using python :
comb is an built in function which calculate the combination of two arguments it takes ; and returns the combination value.
** mean raised to the power and
* is used for multiplication
The Python code as per the given question is provided below.
Program explanation:
The number of trials,
100Probability of success,
20% or 0.26Size of array generated,
2000The output that shows chances of 20 success,
SProgram code:
import numpy as np
S=sum(np.random.binomial(100,0.26,2000)==20)/2000
S
Learn more about Python expression here:
https://brainly.com/question/21645017
The equation y - 5 = 6X + 1 is written as point-slope form. What is the equation written in slope intercept form
Answers
Answer:
y = 6x + 6
Step-by-step explanation:
The general formula is y = mx +cso; the y as seen will be constant as well as the x
With change of subject the 5 will be moved to the other side having y= 6x +1 + 5 .Given us y = 6x + 6.
The length of the box is 15 centimeters, the breadth of the box is 20 centimeter, the height of a box, 20 centimeter fine its volume. Step by step
Answers
Answer:
volume=length×width×height
v=15×20×20
v=6000
Find functions f(x) and g(x) so the given function can be expressed as
h(x) = f(g(x)).
(Use non-identity functions for
f(x) and g(x).)
h(x) = 5/x-4
Answers
Answer:
[tex]f(x) = \frac{5}{x}[/tex]
[tex]g(x) = x - 4[/tex]
Step-by-step explanation:
Composite function:
[tex]h(x) = f(g(x)) = (f \circ g)(x)[/tex]
h(x) = 5/x-4
We have x on the denominator and not the numerator, so the outer function is given by:
[tex]f(x) = \frac{5}{x}[/tex]
The denominator is x - 4, so this is the inner function, so:
[tex]g(x) = x - 4[/tex]
Marty's barber shop has one barber. Customers arrive at a rate of 2.2 per hour and haircuts are given at a rate of 5 customers per hour. Assume a Poisson arrival rate and an Exponential service time distribution.
Required:
a. What is the probability that one customer is receiving a haircut and one customer is waiting?
b. What is the probability that one customer is receiving a haircut and two customers are waiting?
c. What is the probability that more than two customers are waiting?
Answers
Answer:
Step-by-step explanation:
Arrival rate = ∧ = 2.2 customers per hour
Service rate = u = 5 customers per hour
1. Probability that one customer is receiving a haircut and one customer is waiting
P(2 customers)=(∧/u)^2 * (1-∧/u)=(2.2/5)^2 * (1-2.2/5)=0.1936*0.56= 0.108416
2. Probability that one customer is receiving a haircut and two customers are waiting
P(3 customers)= (∧/u)^3 * (1-∧/u)=(2.2/5)^3 * (1-2.2/5)= 0.085184
* 0.56= 0.04770304
3. Probability that more than two customers are waiting
P(more than 3 customers)=1- P(less than 3 customers) =
1- [P(0)+P(1)+P(2)+P(3)]=
= 1- [(1-2.2/5) +2.2/5*(1- 2.2/5) + 0.108416+0.04770304]=1-0.9625=0.0375
13, 5, 4, 9, 7, 14, 4 The deviations are _____.
A. "5, -3, -4, 0, 1, 6, 4"
B."5, -3, -4, 1, -1, 6, -4"
C."6, -3, -4, 1, 2, 6, -4"
D."-5, 3, 4, -1, 1, 6, 4 "
Answers
Answer:
B."5, -3, -4, 1, -1, 6, -4"
Step-by-step explanation:
We are given that
13,5,4,9,7,14,4
We have to find the deviation.
Mean=[tex]\frac{sum\;of\;data}{total\;number\;of\;data}[/tex]
Using the formula
[tex]Mean,\mu=\frac{13+5+4+9+7+14+4}{7}[/tex]
[tex]Mean,\mu=\frac{56}{7}=8[/tex]
Deviation=[tex]x_i-\mu[/tex]
[tex]x_i-\mu[/tex]
13 5
5 -3
4 - 4
9 1
7 -1
14 6
4 - 4
Hence, option B is correct.
by what number should 2/9 be divided to obtain 8/3
Answers
Answer:
[tex] \frac{1}{12} [/tex]
Step-by-step explanation:
[tex] \frac{2}{9} \div \frac{8}{3} \\ = \: \frac{1}{12}[/tex]
So, if you divide 2/9 by 1/12, you'll get 8/3
Answered by GAUTHMATH
Julie and Mona know that that Earth’s average distance from the Sun is approximately 93 million miles and it takes 1 year to complete an orbit of the Sun. A new asteroid has been discovered orbiting the Sun at an average distance of 1,488 million miles. How long will it take for the asteroid, in Earth years, to complete one orbit of the Sun.
Answers
Answer:
16 years
Step-by-step explanation:
Given that :
Earth's distance from sun = 93 million miles
Number of years to complete an orbit = 1 year
Average orbiting distance of new asteroid = 1488 million miles
Number of years to complete an orbit = x
93,000,000 Miles = 1
1488000000 miles = x
Cross multiply :
93000000x = 1488000000
x = 1488000000 / 93000000
x = 16 years
Period taken to orbit the sun = 16 years
Answer: 64 Earth years...
