The probability that a randomly chosen point in the circle is outside the inscribed square is 0.360.
What is the probability?The probability is calculated as follows:
Data given:
The diagonal of the square is equal to the diameter of the circle,;
The side length of the square is s
s * √2 = 72
s = 72 / √2
s ≈ 51.02 units
The area of the square:
Area of the square = 51.02 * 51.02
Area of the square ≈ 2604.08 square units
The area of the circle:
Area of the circle = 3.14 * 36 * 36
Area of the circle ≈ 4071.84 square units
Probability = Area of the circle - Area of the square / Area of the circleProbability = (4071.84 - 2604.08) / 4071.84
Probability ≈ 0.360
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how many students say yes to liking pizza
3. Given the perimeter of the figure is 76 ft, Find
the dimensions of the shape.
(4x-5) ft
(25-x) ft
(13 + x) ft
T
(3x + 1) ft
The most appropriate choice for perimeter of a shape will be given by-
UT = 19 ft
ST = 19 ft
RS = 19 ft
UR = 19 ft
What is perimeter of a shape?
Perimeter of a shape is the length of the boundary of the shape.
It is obtained by taking the sum of all the length of the boundary.
Here,
UT = (25 - x) ft
ST = (3x + 1) ft
RS = (13 + x) ft
UR = (4x - 5) ft
Perimeter = UT + ST + RS + UR
= (25 - x + 3x + 1 + 13 + x +4x -5) ft
= (7x + 34) ft
By the problem,
\(7x +34 =76\\7x = 76 -34\\7x = 42\\x = \frac{42}{7}\\x =6\)
UT = \(25 - 6\) = \(19\) ft
ST = \(3 \times 6 + 1\) = \(19\) ft
RS = \(13 + 6 = 19\) ft
UR = \(4\times 6 - 5\) = 19 ft
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Helppp again please ,!,!!
Answer:
The answer's are down below.
Step-by-step explanation:
4 sandwiches and 2 cupcakes are $15.00
5 juices and 4 bagels are $12.50
4 bagels and 5 juices are $11.60
2 bagels and 4 cupcakes are $10.00
The manager of a local pet store wants to know which breed of dogs his customers buy most often. Who should the pet store manager survey to answer this question? A. the 25 people shopping in the store B. customers who bought dogs from his shop C. every adult who enters the shop during the day D. workers at a local animal shelter
Answer:
Customers who bought dogs from his shop
Step-by-step explanation:
he can create a pie chart or bar graph to see the highest sold dog breed and predict what will sell most later on.
Answer:
Your answer is B
Step-by-step explanation:
what is the answer of the above question in the diagram
when have I ever done this leave me alone please
Answer:
zusvhzbzhz
Step-by-step explanation:
zuzuch bzhzhs bu sizhshsuhsnd uh s gsv sjizhs
Answer:
ok I will leave u alone
Step-by-step explanation:
(•ө•)♡
if a cup has a diameter of 8 centimeters and a height of 12 centimeters , how much juice will the cup hold.
The amount of juice the cup can hold given that the cup has diameter of 8 centimeters and a height of 12 centimeters is 602.88 cm³
How do i know the amount of juice the cup can hold?To know the amount of juice the cup can hold, we shall obtain the volume of the cup.
We shall use the formula for obtaining volume of cylinder to obtain the volume of the cup. Details below:
Diameter of cup = 8 cmRadius of cup (r) = diameter / 2 = 8 / 2 = 4 cmHeight of cup (h) = 12 cmVolume of cup (V) =?Volume = πr²h
Volume = 3.14 × 4² × 12
Volume = 3.14 × 16 × 12
Volume = 602.88 cm³
Thus, we can conclude from the above calculation that the amount of juice the cup can hold is 602.88 cm³
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Use an equation to solve each percent problem. Round your answer to the nearest tenth, if necessary.
What percent of 58 is 37 ?
Approximately 63.8% of 58 is equal to 37.To find the percent of 58 that is represented by 37, we can set up an equation.
Let x represent the unknown percentage we are trying to find.
We can set up the equation:
x% of 58 = 37
To solve for x, we can divide both sides of the equation by 58:
(x/100) * 58 = 37
Dividing both sides by 58:
x/100 = 37/58
To isolate x, we can cross multiply:
58x = 37 * 100
58x = 3700
Dividing both sides by 58:
x = 3700/58
x ≈ 63.8
Therefore, approximately 63.8% of 58 is equal to 37.
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ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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For binomials of the form (x - y) ^ n explain how to determine the sign of a term without writing out the entire expansion
Answer:
When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.
For example:
(x - y)² = x² − 2xy + y²
(x - y)³ = x³ − 3x²y + 3xy² − y³
(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴
etc.
supplementary angles.
If the measure of
measure of
m
Answer: I don't quite understand your question. Supplementary angles are angles that equal 180 degrees. You can find missing supplementary angles by adding the two that are given, and then subtracting them by 180.
How can I find missing angles measurements ? in complementary angles
If two angles are complementary, it means that their sum is 90 degrees. This means that
angle FGJ + angle JGH = 90
From the diagram, angle JGH = 24.4
Thus,
angle FGJ + 24.4 = 90
angle FGJ = 90 - 24.4
angle FGJ = 65.6 degrees
Find the length of side a to the nearest tenth. Square root 8 and x
4/5x+5=9 solve for x please i have 8 questions left!!!!!!!!!!!
Answer:
x= 5
Step-by-step explanation:
You need to get rid of the fraction first and to do that you muliply the whole equation by 5 so that your new equation reads 4x+25=45. Then you subtract 25 from both sides so you have 4x=20. Divide both sides by 4 so x=5.
Two numbers have a sum of 76 and a difference of 8. What is
the larger number?
A. 68
OB. 42
O C. 46
D. 34
5 (x-9) =55 A subtract 5 B divide 5 C add 9 D subtract 55
The operation carried out is divide 5. option B
What is an algebraic expression?An algebraic expression is described as an expression consisting of variables, terms, coefficients, constants and factors.
These algebraic expressions are also made of arithmetic or mathematical operations, such as;
DivisionMultiplicationAdditionSubtractionParenthesesBracket, etcFrom the information given, we have that;
5(x-9) =55
Divide both sides by 5, we have;
x - 9 = 55/5
Find the value
x - 9 = 11
collect like terms
x = 11 + 9
x = 20
Hence, the value is 20
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what value of x would make the figure below a parallelogram? please show your work!
Answer:
x = 8
Step-by-step explanation:
Since the sum of all angles of a parallelogram is equal to 360 degrees, <Z + <Y is half of the parallelogram, and therefore <Z + <Y = 180 degrees.
16x-4 + 7x = 180, combine like terms
23x - 4 = 180, add 4 on both sides (isolate variable)
23x = 184, divide 23 on both sides
x = 8
Part B
A tie-dye kit with
qne T-shirt costs $15. Each additional T-shirt costs $4 more. Choose the recursive formula to represent the situation.
A. anan-1 + 4; a₁ = 11
B. anan-1+4; a₁ = 15
C. an an-1+11; a₁ = 15
D. anan-1+19; a₁ = 11
Answer:Its D
Step-by-step explanation:
For which graph is the parents function y=x^2
Answer:
Shift 1 units towards left and then stretch vertically 3
Answer: The graph of y=x^2 would look like the one shown below.
Step-by-step explanation:
Get it right and you get the brainliest. Copy the lines and draw on them to complete the assignment.
Answer:
Step-by-step explanation:
What is 3 3/4 as a mixed number
Answer:
the answer is \(\frac{15}{4}\)
Step-by-step explanation:
multiply the whole number (3) by the denominator (4) then add the numerator (3).
The equation should look like:
3 x 4 + 3 = 15
the answer is the new numerator (15) over the same denominator (4)
Which is the graph of y = ⌊x⌋ – 2?
See the graph in the image.
Uber has no pickup fee but charges $0.25 per mile. Lyft charges $3 for pickup and $0.15 per mile. Find the number of miles for which the cost of your Uber and Lyft is the same.
Answer:
Step-by-step explanation:
15
The number of miles for which the cost of Uber and Lyft is the same is 30.
How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.
Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles the cost of Uber and Lyft is the same.
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HELP PLEASE I NEED ANDWERS❤️❤️❤️
Sorry, I couldn't figure out the last one, it just takes a lot of trial and error and luck :(
You know that S times A is the digit N. Then, A squared plus whatever the first digit of the2 digit number XN is MA.
A cannot be five because if you were to do 5 times 5 it would be 25. A squared is 25 and the last digit is already A so added on to anything else the equation would be false. So the only considerable value for S would be one, but then A times S would be 5, but N is not A. I hope you get what I mean.
A cannot be 6 for the same reason (just change the 5 to six on my last pragraph).
If A were 7 then you'd have to find something to add to 49 to make it end in 7, which means adding 6. 7 times 9 is 63, so S could be 9. 79 times 7 is 573. That is the answer. A = 7, S = 9, M = 5, N = 3.
As for NINE - FOUR = FIVE, E - R is E so R must be 0.The only one digit number a number can be subtracted by to get itself is 0.
Now, N - U = V, or 1N - U = V
Let's say N is 3 and U is 6. V would be 7.
We've just took one from I. I - 1 - O = I. 1+O must be 10 or 0, but O must be positive, so O = 9. Let's say I is 5.
We just borrowed one form N. N-1 - F = F. N - 1 = 2 times F.
But we know that N is 3. 2 = 2 times F. F is 1.
Let's just make E = 8
My final answer is 3538 - 1960 = 1578
There are MANY other answers though.
N = 3, I = 5, E = 8, O = 9, U = 6, R = 0, V = 7.
Chris needs a 15% down payment to purchase a $206,000 home. How much money does Chris need for a down payment?
Answer:
the answer is 30'900
Step-by-step explanation:
15% of 20600 is 30'900, sorry if i am wrong but i believe thats correct.
Plot the vector field F(x,y)=(xy,x+y^2) Calculate divF.
Determine where divF>0 and where divF<0.
The divergence of the vector field F is positive for y > -1/3 and negative for y < -1/3.
To plot the vector field F(x, y) = (xy, x + y^2), we can first visualize the vectors at various points in the xy-plane. Let's choose a range of values for x and y and calculate the corresponding vectors. We'll use a step size of 1 for simplicity.
Here is a sample grid of points and their corresponding vectors:
(x, y) = (-2, -2) -> F(-2, -2) = (4, 2)
(x, y) = (-1, -2) -> F(-1, -2) = (2, 2)
(x, y) = (0, -2) -> F(0, -2) = (0, 2)
(x, y) = (1, -2) -> F(1, -2) = (0, 2)
(x, y) = (2, -2) -> F(2, -2) = (4, 2)
(x, y) = (-2, -1) -> F(-2, -1) = (2, 1)
(x, y) = (-1, -1) -> F(-1, -1) = (1, 1)
(x, y) = (0, -1) -> F(0, -1) = (0, 1)
(x, y) = (1, -1) -> F(1, -1) = (0, 1)
(x, y) = (2, -1) -> F(2, -1) = (2, 1)
... and so on for other values of y and for positive values of y.
To calculate the divergence (divF) of the vector field, we need to find the partial derivatives of the components of F with respect to x and y. Then we sum these partial derivatives.
F(x, y) = (xy, x + y^2)
∂F/∂x = y
∂F/∂y = 1 + 2y
divF = ∂F/∂x + ∂F/∂y = y + (1 + 2y) = 3y + 1
Now, we can analyze where the divergence is positive (divF > 0) and where it is negative (divF < 0).
For divF > 0:
If y > -1/3, then divF > 0.
For divF < 0:
If y < -1/3, then divF < 0.
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which of the following is equivalent to the expression below? 48^x/8^x*photo*
In order to find the equivalent expression, we can use the following property:
\(\frac{a^c}{b^c}=(\frac{a}{b})^c\)So we have:
\(\frac{48^x}{8^x}=(\frac{48}{8})^x=6^x\)Therefore the correct option is C.
Which expression is equivalent to (81x4y16) for all positive values of x and y?
Answer:
4x-3y is equivilent
Step-by-step explanation:
work out 3a+b as a column vector