45 out of 100 adults prefer road trips. What percentage of adults prefer road trips?
Answer: 45%
Step-by-step explanation: 45/100 is 45%
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A globe company currently manufactures a globe that is 16 inches in diameter. if the dimensions of the globe were reduced by half, what would its volume be? use 3.14 for π and round your answer to the nearest tenth. 682.7 in3 2143.6 in3 85.3 in3 267.9 in3
If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³.
What is volume ?
The volume of an object is a measure of the amount of space occupied by that object.
Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half
The new diameter is equal to
D = 16 / 2 = 8 in
Hence radius is equal to
r = 8/2 = 4 in
The volume of the reduced globe is
\(V = \frac{4}{3} \pi r^{3}\)
\(V= \frac{4}{3} (3.14) (4)^{3}\) = 267.9 in³
f dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be 267.9 in³
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three of these components operate independently in a piece of equipment. the equipment fails if at least two of the components fail. find the probability that the equipment will operate for at least 200 hours without failure.
The equipment with three independent exponentially distributed components has a 92.9% probability of operating for at least 200 hours without failure.
Let's assume that the lifetimes of the components are exponentially distributed with mean hours of 100 for each component. The probability of a component surviving beyond time t is given by:
P(T > t) = e^(-t/100)
The probability that a component fails within the first 200 hours is:
P(T ≤ 200) = 1 - P(T > 200) = 1 - e^(-2)
The probability that a component does not fail within the first 200 hours is:
P(T > 200) = e^(-2)
The probability that at least two components fail within the first 200 hours can be calculated using the complement rule:
P(at least two components fail in 200 hours) = 1 - P(no more than one component fails in 200 hours)
To find the probability that no more than one component fails in 200 hours, we need to consider the following cases:
1. All three components survive for at least 200 hours.
P(all three components survive for at least 200 hours) = P(T > 200)^3 = e^(-6)
2. Two components survive for at least 200 hours, and one fails within the first 200 hours.
P(two components survive for at least 200 hours and one fails within the first 200 hours) = 3 * P(T > 200)^2 * P(T ≤ 200) = 3 * e^(-4) * (1 - e^(-2))
3. One component survives for at least 200 hours, and two fail within the first 200 hours.
P(one component survives for at least 200 hours and two fail within the first 200 hours) = 3 * P(T > 200) * P(T ≤ 200)^2 = 3 * e^(-2) * (1 - e^(-2))^2
Therefore, the probability that no more than one component fails in 200 hours is:
P(no more than one component fails in 200 hours) = e^(-6) + 3 * e^(-4) * (1 - e^(-2)) + 3 * e^(-2) * (1 - e^(-2))^2
Finally, the probability that the equipment will operate for at least 200 hours without failure is:
P(equipment operates for at least 200 hours without failure) = 1 - P(at least two components fail in 200 hours)
= 1 - [e^(-6) + 3 * e^(-4) * (1 - e^(-2)) + 3 * e^(-2) * (1 - e^(-2))^2]
Simplifying, we get:
P(equipment operates for at least 200 hours without failure) ≈ 0.929
Therefore, the probability that the equipment will operate for at least 200 hours without failure is approximately 0.929 or 92.9%.
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Question 3 of 25 What is g(x)?
Answer:
" Its graph is v-shaped and opens up.
If the graph is turned upside down (so that it opens down), then g(x) = -|x|."
Step-by-step explanation:
Hope this helped :)
Step-by-step explanation:
This is an absolute value function with negative coefficient.
we have
g(x) = - Ixl
camille owns crunch code, a company that provides quick programming solutions. clients send projects to crunch via their web page and a programmer develops the needed code as quickly as possible. camille has five programmers, who do all of the coding. on average, a project arrives once every 4.8 hours, with a standard deviation of 6.00 hours. each project is assigned to one programmer and that programmer takes on average 19.2 hours to complete each project with a standard deviation of 19.2 hours. how many uncompleted projects does crunch code have in the system on average at any given time?
Therefore, on average, Crunch Code has approximately 4 uncompleted projects in the system at any given time.
To calculate the average number of uncompleted projects in the system at any given time, we need to use Little's Law, which states that the average number of entities (in this case, projects) in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Given:
Average arrival rate (λ) = 1 project every 4.8 hours
Average time spent in the system (W) = 19.2 hours
Using Little's Law, the average number of uncompleted projects (L) is given by:
L = λ * W
Substituting the values:
L = (1/4.8) * 19.2
= 0.208 * 19.2
≈ 3.9936
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35
recreation barrington needs to buy snorkels and fins for his family
for their annual beach vacation. snorkels cost $8 a set and fins cost $12 a
pair. write an inequality that represents this situation if barrington has
562 to spend.
For the given conditions the inequality 8x + 12y ≤ 562 ensures that the total cost of the snorkels and fins does not exceed the available budget of $562.
Let's define the inequality :
Let x be the number of snorkel sets.
Let y be the number of pairs of fins.
To represent the situation where Barrington has $562 to spend, we can write the following inequality:
8x + 12y ≤ 562
In this inequality, 8x represents the cost of x snorkel sets ($8 per set), and 12y represents the cost of y pairs of fins ($12 per pair). The sum of these costs should be less than or equal to $562, as it represents the maximum amount Barrington can spend.
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The cost C in dollars of manufacturing x bicycles at a production plant is given by the function shown below. C(x) = 3x2 - 1500x + 199,000 a. Find the number of bicycles that must be manufactured to minimize the cost. b. Find the minimum cost. a. How many bicycles must be manufactured to minimize the cost? bicycles
To find the number of bicycles that must be manufactured to minimize the cost, we need to determine the value of x that corresponds to the minimum point of the cost function C(x).
We can find this by taking the derivative of C(x) with respect to x and setting it equal to zero. Let's differentiate C(x):
C'(x) = 6x - 1500
Now we set C'(x) = 0 and solve for x:
6x - 1500 = 0
6x = 1500
x = 250
Therefore, the number of bicycles that must be manufactured to minimize the cost is 250 bicycles.
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the manager of a neighborhood plant nursery measured the height of every tree on the lot. The mean height of the trees was 75 inches and the median height was 62 inches. What was the shape of the distribution?
symmetric
roughly symmetric
skewed to the left
skewed to the right
Answer: D. skewed to the right
Step-by-step explanation:
just took it
Answer:
skewed to the right
This is the right answer Edge 2020
Step-by-step explanation:
When epsilon = 1, the values of delta > 0 such that |f(x) - 3| < epsilon whenever 0 < |x - 2| < delta satisfy the inequality (Type an inequality using delta as the variable Simplify your answer.)
When epsilon = 1, the values of delta > 0 such that |f(x) - 3| < epsilon whenever 0 < |x - 2| < delta satisfy the inequality |f(x) - 3| < 1.
To simplify this inequality, we can use the absolute value property that states |a| < b if and only if -b < a < b. Applying this property to the inequality |f(x) - 3| < 1, we get:
-1 < f(x) - 3 < 1
Adding 3 to each term of the inequality, we obtain:
2 < f(x) < 4
Now, we need to find the values of delta that satisfy this inequality. To do this, we can use the definition of the function f(x) and solve for x in terms of delta:
f(x) = x^2 + 1
2 < x^2 + 1 < 4
1 < x^2 < 3
Solving for x, we get:
sqrt(1) < x < sqrt(3)
Since we are looking for the values of delta such that 0 < |x - 2| < delta, we can use the absolute value property again and write:
-sqrt(3) + 2 < delta < sqrt(3) + 2
Therefore, the values of delta that satisfy the inequality are those that lie in the interval (-sqrt(3) + 2, sqrt(3) + 2).
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Please help me quickly i am in class
1. A graph of two similar, but not equal, right triangles using segments of line AB as the hypotenuse of each triangle is shown below.
2. The three pair of corresponding angles and sets of proportionate sides include:
ΔACE ≅ ΔBDF, ΔAEC ≅ ΔBFD, and ΔCAE ≅ ΔDBF.
AC = BD, EC = FD, and AE = BF
3. Yes, the slope of line is the same between any two points on the line.
What are the properties of similar triangles?In Mathematics and Geometry, two triangles are said to be similar when the ratio of their corresponding side lengths are equal and their corresponding angles are congruent.
Part 1.
In this exercise, we would use an online graphing tool to create two similar, but not equal, right triangles by using line segments AB as the hypotenuse of each triangle.
Part 2.
Based on the side, side, side (SSS) similarity theorem, we can logically deduce the following congruent (similar) triangles and sets of proportionate sides:
ΔACE ≅ ΔBDFΔAEC ≅ ΔBFDΔCAE ≅ ΔDBF.AC = BDEC = FDAE = BFPart 3.
In Mathematics and Geometry, the slope of any straight line can be determined by using this formula;
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope AC = (0 + 1)/(-3 + 5)
Slope AC = 1/2.
Slope BD = (3.5 - 2)/(4 - 1)
Slope BD = 1/2.
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Find the length of the hypotenuse of an isosceles right triangle of area 72cm square
Answer:
Step-by-step explanation:
The base and height will be the two equal sides of the isosceles right triangle.
⇒ b = h = x cm
\(Area \ of \ triangle = \dfrac{1}{2}bh\)
\(\dfrac{1}{2}bh = 72 \ cm^{2}\)
\(\dfrac{1}{2}*x*x=72\\\\\\\dfrac{1}{2}*x^{2}=72\\\\\\x^{2}=72*2\\\\x^{2}=144\\\\Take \ square \ root,\\\\\sqrt{x^{2}}=\sqrt{144}\\\\x = \sqrt{12*12}\\\\x = 12 cm\)
Hypotenuse² = b² + h²
= 12² + 12²
= 144 + 144
= 288
hypotenuse = √288
= 16.97 cm
Answer:
\(\large{\boxed{\sf Hypotenuse = 16.97\ cm }}\)
Step-by-step explanation:
Here it is given that the area of a right isosceles ∆ is 72 cm² . Let us assume that each equal side is x . Therefore the height and the base of the ∆ will be same that is x .
\(\sf\qquad\longrightarrow Area =\dfrac{1}{2}(base)(height)\\ \)
\(\sf\qquad\longrightarrow 72cm^2=\dfrac{1}{2}(x)(x)\\\)
\(\sf\qquad\longrightarrow x^2= 144cm^2\\ \)
\(\sf\qquad\longrightarrow x =\sqrt{144cm^2}\\ \)
\(\sf\qquad\longrightarrow \pink{x = 12cm }\)
Hence we may find hypotenuse using Pythagoras Theorem as ,
\(\sf\qquad\longrightarrow h =\sqrt{ p^2+b^2} \)
Here p = b = 12cm ,\(\sf\qquad\longrightarrow h =\sqrt{ (12cm)^2+(12cm)^2}\\\)
\(\sf\qquad\longrightarrow h =\sqrt{144cm^2+144cm^2}\\\)
\(\sf\qquad\longrightarrow h =\sqrt{288cm^2}\\\)
\(\sf\qquad\longrightarrow \pink{ hypotenuse= 16.97cm }\)
Hence the hypotenuse is 16.97 cm .
The time (in years) until the first critical-part failure for a certain car is exponentially distributed with a mean of 3.4 years. Find the probability that the time until the first critical-part failure is 5 years or more.
The probability that the time until the first critical-part failure is 5 years or more is approximately 0.611 or 61.1%.
To find the probability that the time until the first critical-part failure is 5 years or more, we can use the cumulative distribution function (CDF) of the exponential distribution:
P(X ≥ 5) = 1 - P(X < 5)
where X is the time until the first critical-part failure.
The CDF of the exponential distribution with mean μ is given by:
\(F(X) = 1 - e^{-\frac{X}{\mu}}\)
Substituting μ = 3.4 years, we get:
\($P(X < 5) = F(5) = 1 - e^{-5/3.4} \approx 0.389$\)
Therefore,
P(X ≥ 5) = 1 - P(X < 5) ≈ 0.611
So the probability that the time until the first critical-part failure is 5 years or more is approximately 0.611 or 61.1%.
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What force is needed to accelerate a 2-kg mass at 1 m/sec/sec
Answer:
From Newton's Laws of Motion
F = ma
For m=2kg, a=1m/s^2
F= 2 ×1 =2N
You need force of 2N to accelerate.
WILL GIVE BRAINLIEST PLS HELP
Solve for y in terms of w, x, and z.
x=zyw
y=
Answer:
y= x/zw
Step-by-step explanation:
Isolate the variable by dividing each side by the factors that dont contain the variable
x=zyw /zw
y=x/zw
7
Find the area of the composite figure.
12 cm
15 cm
5 cm
<
Answer: i think its 900
Step-by-step explanation:
12 x 15 x 5 = 900
Can anyone please help me?
2(9-4)+15=13
how to express 0.666.... in p/q form ?
Answer:
hi!
your answer is
2/3
Step-by-step explanation:
this is because 0.333 is 1/3
so 0.666 is 2/3
hope this helps
pls put brainliest
50 points and brainliest to first correct answer! :)
The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:
A quadrilateral ABCD is shown with the opposite sides AB and DC shown parallel and equal.
A student wrote the following sentences to prove that quadrilateral ABCD is a parallelogram:
Side AB is parallel to side DC, so the alternate interior angles, angle ABD and angle CDB, are congruent. Side AB is equal to side DC, and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SSS postulate. By CPCTC, angles DBC and BDA are congruent and sides AD and BC are congruent. Angle DBC and angle BDA form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.
Which statement best describes a flaw in the student's proof?
Question 11 options:
Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.
Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.
Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.
Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.
Answer/Step-by-step explanation:
"Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle CDB, are congruent." True
"Side AB is equal to side DC and DB is the side common to triangles ABD and BCD." True
Now we have 2 triangles, with 2 congruent sides, and the angles between these pairs of congruent sides, are also congruent..
This means that:
Therefore, the triangles ABD and CDB are congruent by SAS postulate, NOT SSS postulate, which would require 3 pairs of congruent sides.
Answer: Triangles ABD and CDB are congruent by the SAS postulate.
Sales of a popular toy were about 20 million in 2000 and growing about 5% each year. At this growth rate, the function f(x) = 20(1.05)^x gives the annual number of toys sold in million in the xth year after 2000. Using this model, in about what year will the annual sales surpass 37 million?
===========================
Work Shown:
Plug in f(x) = 37. Solve for x. Use logarithms.
f(x) = 20(1.05)^x
37 = 20(1.05)^x
20(1.05)^x = 37
1.05^x = 37/20
1.05^x = 1.85
log( 1.05^x ) = log( 1.85 )
x*log( 1.05 ) = log( 1.85 )
x = log( 1.85 )/log( 1.05 )
x = 12.6088044498867
Round up to the nearest whole number to get x = 13.
In the year 2013, sales exceed 37 million.
There are 200 people in a cinema. 25% of the people are men. 1⁄5 of the people are women. The rest of the people are children. Work out how many children are in the cinema.
Answer:
110
Step-by-step explanation:
There are 200 people in a cinema- This is our total amount.
25 % of the people are men.
.25 times 200= 50
There are 50 men.
1/5 (20%) of the people are women.
.2 times 200 = 40
There are 40 women.
50+40 = 90
There are 90 adults in the cinema.
If there are 200 total people in the cinema, and 90 of them are adult, then 110 of them are children.
The percentage is 55%.
The simplified fraction is 11/20.
The decimal is .55
pls help I will give brainleist (2)
Answer:
D. 0.19Step-by-step explanation:
Look at the intersection of the row "Tenth grade" and the column "Internet"
The number in the relevant cell is 34.
Divide 34 by the total number which is 175:
34/175 = 0.19 (rounded)Correct choice is D
Answer:
D. 0.19
Step-by-step explanation:
Have a great day
x+y=16
y=3x=4
find the solution using substitution
Answer: x=3 ; y=13
Step-by-step explanation:
1. isolate y from equation to substitute into the second equation
y= 16-x ---> (16-x) = 3x+4
2. move to one side and solve for x
4x=12 --> x=3
3. plug in x value to solve for y
3+y=16 or 3(3)+4
y=13
Pa help po thank you:))
Answer:
here are some examples of quadrilateral things( just pick 2), pinili ko sila dahil lahat sila ay rectangle( which i believe is one of the types of quadrilaterals):
- A (wooden) door
- A bill( 100 pesos or 1 dollar bill, whatever currency you use).
- A T.V.
- A Laptop
- A book
_______________________ follow the format:
" (choose 2 from above) A _______ and a _______ are examples of a two- dimensional shape or quadrilateral, which means they have 4 straight sides, 4 angles and 4 vertices. Both ______ and _______ are classified as rectangle because both opposite sides are equal."
there you go! i hope you pass and thank me later:)
Social psychologists use the word ____ to refer to how people deal with traumas and return, post-trauma, to healthy, effective functioning. Group of answer choices
The term "resilience" encompasses the psychological processes and traits that enable individuals to deal with traumas and recover their healthy and effective functioning.
To understand resilience more deeply, let's consider a mathematical analogy.
Just as mathematical equations can be adjusted or modified to solve different problems, individuals need to adapt their coping mechanisms to match the specific demands of a trauma. Being adaptable allows people to assess the situation, identify necessary adjustments, and find effective strategies for recovery.
Resilience is not solely about returning to a pre-trauma state but also involves personal growth and transformation. In mathematics, this growth can be compared to solving a complex problem that requires expanding one's knowledge and skills.
It's important to note that resilience is not a fixed trait, but rather a dynamic process that can be developed and strengthened over time. Just as mathematical skills can be improved through practice and learning, individuals can cultivate resilience through various interventions, such as therapy, support groups, self-care practices, and building healthy relationships.
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Write the coordinates of the verticals after a rotation 270 counter clockwise around the origin
D=
E=
F=
G=
Check the picture below.
According to a Harris poll, 5% of U.S. adults admitted to having spent money gambling online. If a U.S. adult is selected at random, what is the probability that he or she has never spent any money gambling online
If a U.S. adult is selected at random, the probability that he or she has never spent any money gambling online is 95.
What is gambling?Gambling, the betting or staking of something of value, with consciousness of risk and hope of gain, on the outcome of a game, a contest, or an uncertain event whose result may be determined by chance or accident or have an unexpected result by reason of the bettor’s miscalculation.
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online.
We have to find the probability of a U.S. adult selected randomly that he or she has never spent any money gambling online.
We will assume the probability of the outcome which is known as P(E) and the probability of the outcome which we need to know as , P(E) since both are the complement of each other. Then we will substitute the value of P(E) in the formula compliment of P(E)= 1-P(E) so as to obtain compliment of P(E)
Given that there was a 5 probability of U.S. adults admitted to having spent money gambling online, therefore
P(E) =5
P(E)= 5/100
=0.05
The probability of a U.S. adult selected randomly that he or she has never spent any money gambling online will be given as compliment of P(E) , such that
compliment of P(E)= 1-P(E)
=0.95
= 0.95/100
=95
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WORTH 67 PTS!! I WILL GIVE BRAIBLIEST!
Write an expression that is equivalent to
3/4a + 2/3 - 1/2a - 1/3 + 1/2a
3/4a + 2/3 - 1/2a - 1/3 + 1/2a
= _a + _
Answer:
7/4a + 1/3
1 3/4a + 1/3
Step-by-step explanation:
Answer:
1 3/4AN + 1/3
Step-by-step explanation:
The pavement at the new shopping mall is being laid. Which transformation is applied from brick A to brick B?
rotation
translation
dilation
reflection
Answer:
I WOULD SAY ITS rotaiton UWU
Rotation is the transformation applied from brick A to brick B.
We need to find which transformation is applied from brick A to brick B.
What is transformation?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, line, or geometric figure.
Rotation in mathematics is a concept originating in geometry. Any rotation is a motion of a certain space that preserves at least one point. It can describe, for example, the motion of a rigid body around a fixed point.
Brick A rotated 90° to brick B.
Therefore, rotation is the transformation applied from brick A to brick B.
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A bakery used 25% more butter this month than last month. If the bakery used 240 kg of butter last month, how much did they use this month
Answer: 300 kgs.
Step-by-step explanation:
Butter used in last month= 240 kg.
Additional butter used= 25%
Butter used in current month= 240+25%
= 300kg.
PLEASE ANSWER THIS FOR ME!!!!!!!!!!!!
Answer:
It's the option on the bottom right corner.
Step-by-step explanation:
5,000,000,000 has 9 zeros. so look at the option that has 9 zeros.