Answers
Answer:
Area of larger circle = [tex]\pi *r^2=3.14(11^2)=379.94[/tex]
Area of smaller circle = [tex]\pi *r^2=3.14(3^2)=28.26[/tex]
Probability that it lands in the shaded area (smaller circle):
28.26 ÷ 379.94 = 0.07438... = 0.07 (nearest hundredth)
Related Questions
(30 Points) A catering company has small tables and large tables. Small tables seat 2 people and large tables seat 5 people. You are planning a party for at most 75 guests. Write an inequality that represents this situation. Let s represent the small tables and I represent the large tables.
Answers
Answer:
lllllllllllllll
Step-by-step explanation:
its is 15 large tables
3) Postcards: Marcie wants to make a box to hold her postcard collection from a piece of
cardboard that is 10 inches by 18 inches. The box will be formed by making cuts as shown in
the diagram and folding up the sides.
a) Write a function that models the volume of the box.
b) What are the dimensions of the box with the maximum volume? Round to the nearest tenth.
el
at
c) What is the maximum volume of the box?
Answers
The volume of the box is the amount of space in it.
The dimension of the postcard is:
[tex]\mathbf{Length = 10}[/tex]
[tex]\mathbf{Width = 18}[/tex]
Let x represents the length of the cut.
So, the dimension of the box is:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
(a) The function that represents the volume of the box
This is calculated as:
[tex]\mathbf{V(x) = Length \times Width \times Height}[/tex]
So, we have:
[tex]\mathbf{V(x) = (10 - 2x) \times (18 - 2x) \times x}[/tex]
Expand
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Hence, the volume function is: [tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
(b) The dimension that maximizes the volume
We have:
[tex]\mathbf{V(x) = 180x - 56x^2 + 4x^3}[/tex]
Differentiate
[tex]\mathbf{V'(x) = 180- 112x + 12x^2}[/tex]
Set to 0
[tex]\mathbf{180- 112x + 12x^2 = 0}[/tex]
Using a calculator, we have:
[tex]\mathbf{x = 7.3,2.1}[/tex]
The value x = 7.3 is greater than the dimension of the box.
So, we have:
[tex]\mathbf{x = 2.1}[/tex]
Recall that:
[tex]\mathbf{Length = 10 -2x}[/tex]
[tex]\mathbf{Width = 18 -2x}[/tex]
[tex]\mathbf{Height = x}[/tex]
So, we have:
[tex]\mathbf{Length = 10 -2 \times 2.1 = 5.8}[/tex]
[tex]\mathbf{Width = 18 -2 \times 2.1 = 13.8}[/tex]
[tex]\mathbf{Height = 2.1}[/tex]
Hence, the dimension that maximizes the volume is 5.8 by 13.8 by 2.1
(c) The maximum volume
This is calculated as the product of the dimension of the box
So, we have:
[tex]\mathbf{Volume = 5.8 \times 13.8 \times 2.1}[/tex]
[tex]\mathbf{Volume = 168.1}[/tex]
Hence, the maximum volume of the box is 168.1 cubic inches
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-
6 less than the product of a number and 3 is -18.. What is the
number?
Answers
Answer:X= -4
Step-by-step explanation:
6 less than the product of a number and 3 is -18.
Make each part of the sentence into numbers:
"the product of a number and 3": becomes X*(3), where X is the "number."
"6 less than": is -6, so we have:
X*(3) - 6
"is -18" means = -18
Put the segments into one equation and solve:
X*(3) - 6 = -18
3X-6=-18
3X = -12
X = -4
====
See if this works: If X=-4, then the product of it and 3 is -12. Six less than -12 is -18. And that is correct. X= -4
PLS HELP!! I WILL GIVE BRAINLIEST
refer to attachments for the question
Answers
In ∆PQR and ∆MNR
PQ=MNQR=RN<Q=<M=90°Hence by
Side angle side congruency
[tex]\\ \sf\longmapsto ∆PQR\cong ∆MNR[/tex]
Step-by-step explanation:
PQ ≅ MN ⇒ Given
QR ≅ NR ⇒ Given
R is midpoint of PM ⇒ Given
PR ≅ MR ⇒ Definition of midpoint
ΔPQR ≅ ΔMNR ⇒ SSS postulate
solve pls brainliest
Answers
Answer:
1)3 meters/second
2)-16°C
Step-by-step explanation:
Hope it can help you lovelots
PLEASE HELP!! Which grabh does NOT represent a function?
Α) Α
B) B
C) С
D) D
Answers
Answer:
D
4th option is correct
............
please help me with mathhhh.
Answers
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
a) What is the difference between Einstein's IQ and the mean?
b) How many standard deviations is that?
c) Convert Einstein's IQ score to a Z-score
d) If we consider "usual IQ scores to be those that convert z-scores between -2 and 2, is Einstein's IQ usual or unusual?
Answers
Answer:
A) 60
B) Between 3 and 4
C) [tex] \frac{160 - 60}{16} [/tex]
D) Extremely unusual.
The difference between Einstein's IQ and the mean is 60. There are standard deviations between 3 and 4. Einstein's IQ score to a Z-score is 9.375. If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
What is Z -score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160.
The difference between Einstein's IQ and the mean :
⇒ 160 - 100 = 60
There are standard deviations between 3 and 4.
Einstein's IQ score to a Z-score:
Here,
ц = 160
σ = 16
X = 100
⇒ z-score = (X-ц )/σ
Substitute the values,
⇒ z-score = (160- 10)/16
⇒ z-score = 150/16
⇒ z-score = 9.375
If we consider usual IQ scores to be those that convert z-scores between -2 and 2, is extremely unusual.
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I don’t really understand this, if you don’t mind please explain.
Answers
Answer:
Roman is wrong because 6/31 is bigger than 9/47
Step-by-step explanation:
no.
i want you to BRING OUT THAT AWESOME CALCULATOR RIGHT NOW! I DONT CARE IF ITS ON YOUR COMPUTER or even an ol fashioned one right in your hands
ok now enter 6 and then divide by (division sign), and then 31. and press Enter or equal sign. now notice that we get A SUPER LONG NUMBER like this
0.19354838....
DO THE SAME THING WITH 9 divided by 47!!
0.19148936....
ok notice. take a look at the third number from the decimal point for each result. they are different. for some SILLY REASON, Roman decided to ignore the rest of the numbers.
6/31 is bigger than 9/47!!!!
Plz helpp
23% of the mix was cadmium. The total weight is 3000 grams. What is the weight of the other constituents?
Answers
Answer:
690
Step-by-step explanation:
23% of 3000 is 690 (love your username btw; 2️⃣ Set
Math 8 Question! :)
Four different positive integers have a mean (average) of 100. If the positive difference between the smallest and largest of these integers is as large as possible, determine the average of the other two integers.
Answers
Answer:
2.5
Step-by-step explanation:
"Four different positive integers have a mean (average) of 100"
The total of the 4 numbers is then 4* 100 = 400
"the positive difference between the smallest and largest of these integers is as large as possible"
to get the greatest difference the first 3 numbers must be
1, 2 and 3 which totals 6
the 4th number is then 400 - 6 = 394
the four numbers are 1, 2, 3 and 394
The greatest difference is between 1 and 394
"the average of the other two integers"
(2 + 3)/2 = 2.5
The average of the other two integers is 1.5.
What is the average of the two numbers?
An integer is an whole number. An example of an integer is 20.
If the mean of the four integers is 100. It means that the sum of the integers must be 400. If the integers are 0,1,2, 397. The largest number is 397 and the smallest number is 0. The average of the other two integers is (1 + 2 ) / 2 = 1.5
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Subtract the equations.
3x + 4y = 17
(3x +2y = 3)
-
O A. 6x = 20
O B. -6x = 14
c. 2y = 14
O D. 6y = 20
Answers
Answer:
C
Step-by-step explanation:
Write the solution to the inequality:
y - 4 < -11
Answers
Answer:
y < -7
Step-by-step explanation:
add 4 to both sides to get y<-7
Answer:
add 4 to both side
y-4+4>-11+4
y>-7
Given f(x) = x â’ 7 and g(x) = x2. Find g(f(4)). G(f(4)) =.
Answers
Answer:
g(f(4))=9 is the answer
2x+3y=10
-6x-9y=30
elmantation method
Answers
Answer:
• First assign any label to the equations:
[tex]{ \tt{2x + 3y = 10 - - - \{eqution \: (a) \}}} \\ { \tt{ - 6x - 9y = 30 - - - \{equation \: (b) \}}} \\ [/tex]
• Multiply equation (a) by 3
[tex] \dashrightarrow \: { \tt{3 \times (2x + 3y = 10)}} \\ \dashrightarrow \: { \tt{6x + 9y = 30}}[/tex]
• Sum up the result with equation (b)
[tex]{ \underline{ + { \tt{ \binom{6x + 9y = 30}{ - 6x - 9y = 30} }}}} \\ { \tt{0x + 0y = 60}}[/tex]
Answers:
No solutions
Plz Help!!! Fast!!
A statue is made of gold and silver in the ratio of 2:5. If the weight of the silver in the statue is 140 pounds, what is the weight of the gold?
Show all work!
Answers
Answer:
if the gold in this ratio is the 2 out of the 2:5 then the answer is 56 but if its the 5 then its 350
Step-by-step explanation:
The weight of gold is 56
Step-by-step explanation:
gold= 2
sliver = 5
weight of gold = x
weight of silver = 140
2/5 = x/140 solve for x
280=5x
x=280/5
x= 56
One theme in “Thank You, Ma’am” is that respectful treatment encourages mutual respect. Which passages from the story support this theme?
Select all that apply.
Thank You, Ma’am
He did not trust the woman not to trust him. And he did not want to be mistrusted now.
He did not trust the woman , not, to trust him. And he did not want to be mistrusted now.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next.
“Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink.
Answers
Answer:
Either B. 'The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him' or A. 'He did not trust the woman not to trust him. And he did not want to be mistrusted now.'.
Step-by-step explanation:
Brainliest Please!The passages from the story "Thank You, Ma'am" that support the theme that respectful treatment encourages mutual respect are: "The woman did not ask the boy anything about where he lived, or his folks, or anything else that would embarrass him." "The water dripping from his face, the boy looked at her. There was a long pause. A very long pause. After he had dried his face and not knowing what else to do dried it again, the boy turned around, wondering what next." and "Then, Roger, you go to that sink and wash your face,” said the woman, whereupon she turned him loose—at last. Roger looked at the door—looked at the woman—looked at the door—and went to the sink." Correct options are 2, 3 and 4.
These passages highlight how the woman treats the boy, Roger, with kindness and respect despite his attempt to steal her purse. Her understanding and respectful treatment lead Roger to reflect on his actions and ultimately decide to follow her guidance. This illustrates how respectful treatment encourages mutual respect between the characters.
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What is the greatest integer that satisfies the inequality below?
Answers
Answer:
Step-by-step explanation:
- 2x > 17
x < 17 ÷ ( - 2 )
x < - 8.5
x ∈ ( - ∞ , - 8.5 )
The greatest integer that satisfies the inequality is ( - 9 )
What is the distance between (-8, -1) and (-4, -9)?
Answers
Answer:
The distance formula between two points is
D=√([tex]x_{2} \\[/tex] -[tex]x_{1\\}[/tex])^2 + ([tex]y_{2}[/tex]-[tex]y_{1}[/tex])^2
Whereas
d is distance
So in this case
(-8, -1)
(-4, -9)
x2 is -4
x1 is -8
y2 is -9
y1 is -1
Now we plug them in
d= √(-4 + 8)^2 + (-9+1)^2
Now solve
it’s about
8.94427
When 4 × 102 is divided by 2 × 10–2 the resulting quotient has 10 raised to the power of
Answers
Answer:
2038 that's a answer po because hindi kasali ang 10
The exponent is represented as [tex]A=2*10^{4}[/tex] where the resulting quotient has 10 raised to the power of 4.
Given data:
To perform the given division of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex] , we can use the properties of exponents and arithmetic operations.
When dividing numbers with the same base (in this case, 10), we subtract the exponent in the denominator from the exponent in the numerator:
So, the exponent is represented as A.
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
Now, the value of [tex]A=\frac{4*10^{2}}{2*10^{-2}}[/tex].
Now, simplify the exponent expression:
[tex]A=\frac{4*10^{2+2}}{2}[/tex]
[tex]A=2*10^{4}[/tex]
Hence, the exponential form is [tex]A=2*10^{4}[/tex].
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PLEASE HELP 7th GRADE MATH ASAP!
I dont know what the constant of proportionality is, so HELP
Answers
Answer:
a. 28.7 miles
b. 40 miles
Step-by-step explanation:
See attachment.
Convert minutes to hours and divide that into 1 1/2 miles to get a speed of 40 miles/hr (mph). Multiply 40 mph by each of the two times (converted to hours) to find the miles travelled for the two times.
a. 28.7 miles
b. 40 miles
Given the net of dimensions below find the volume of the shape
Answers
Answer:
140cm^3
Step-by-step explanation:
4*5*7 = 140
Lindsey's new car travels 93 miles on 3 gallons of gasoline. how many gallons are needed to travel 310 miles?
Answers
Explanation: you first should find how many miles per gallon Lindsey gets by dividing 93 by 3, which gives you 31miles per gallon then divide 310 by 31 which will give you how many gallons of gas Lindsey will need.
PLEASE HELP
What is required in order to win a game of pickleball?
Group of answer choices
The winning team must serve.
The winning team must smash the ball.
The winning team must return service.
Answers
Answer:
I think A
Step-by-step explanation:
Unlike tennis or badminton, only the serving team can win a point.
Answer:
I believe its c but I barely know how to play that
Question
Solve the equation.
q+5/9=1/6
q=
Answers
q= -7/18
Answer:
q = - [tex]\frac{7}{18}[/tex]
Step-by-step explanation:
q + [tex]\frac{5}{9}[/tex] = [tex]\frac{1}{6}[/tex]
Multiply through by 18 ( the LCM of 9 and 6 ) to clear the fractions
18q + 10 = 3 ( subtract 10 from both sides )
18q = - 7 ( divide both sides by 18 )
q = - [tex]\frac{7}{18}[/tex]
If sin(0) > 0, then in which quadrants could 0 lie? Select all correct answers.
Select all that apply:
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answers
Answer:
I and IV
Step-by-step explanation:
based on the unity circle 0 and 360 is on the same plane..hope it's answerd
please help this is a hard question and i just cant figure it out
Answers
Answer:
y=x+6.
Step-by-step explanation:
the slope-interception form is: y=s*x+i, where s - slope, i - interception.
according to the data in the graph i=6, s=1, then finally,
y=x+6.
True or false: Least squares regression problems always have a unique solution, since they are modelled by the normal equation
Answers
Answer: (((trueeee))))
Since the least squares problem always has a unique solution. Therefore, the given statement is true.
The given statement is "Least squares regression problems always have a unique solution since they are modelled by the normal equation".
Do least squares always have a unique solution?The least squares problem always has a solution. The solution is unique if and only if A has linearly independent columns. S equals Span(A) := {Ax : x ∈ Rn}, the column space of A, and x = b.
Therefore, the given statement is true.
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Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the
number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
Answers
Answer:
see image; 200; 400
Step-by-step explanation:
y=20x
graph
What is the value of x?
(picture attached)
Answers
x= 48
P/s: sorry. I cant explain
ok done.thank to me :>