Answer:
4th option
Step-by-step explanation:
Remember the Quotient Rule:
\(\frac{x^{m} }{x^{n} } =x^{m-n}\)
6-2 = 4
So it is the last option
Yuki wants to make a reduced-size copy
of a drawing. The original drawing is
14 inches long. Yuki's copier can only
reduce by 75%. Find the length of a copy
after Yuki reduces it 4 times at 75% each
time. Round your answer to the nearest
hundredth of an inch.
You talk to a friend who lives in a different state.She tells you that today is it 12 degrees below zero where she lives.You tell her it is 54 degrees where you live.What is the difference in temperatures?
Answer: 66
Step-by-step explanation:
0 - 12 = -12
54--12 = 66
66 is the difference
Drake and Evan are teammates on a high school swim team drake swim 312. 63 m during practice evan swim exactly 1/3 times farther than drake exactly how far did Evan swim?
Answer:
416.84 m
Step-by-step explanation:
First Step:
Multiple 312.63 by 1/3
312.63*1/3=104.21
Second Step:
Add 312.63 to 104.21
312.63+104.21=416.84
\(✤ \: \underline{ \underline{ \frak{Understanding~the~question : - }}} \\ \\ \)
In this question, we have been provided that Evan swims 1/3 times farther than Drake, thus, the total distance covered by Evan will be equal to the sum of 312.63 m and the 1/3rd of 312.63 m. Thus, at first we will calculate the one third of the distance and then add them up to get our final answer.
⠀
\(✤ \: \underline{ \underline{ \frak{Given:-}}} \\ \\ \)
There are two teammates in a high school teamDrake swims 312.63 m Evan swims 1/3 times farther than Drake⠀
\(✤ \: \underline{ \underline{ \frak{To~Find :-}}} \\ \\ \)
The distance travelled ( swim ) by Evan⠀
\(✤ \: \underline{ \underline{ \frak{Solution :-}}} \\ \\ \)
Calculating the one - third,
\( \sf \longrightarrow \dfrac{1}{3} \: of \: 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{3} \times 312.63 \: m \\ \\ \\ \sf \longrightarrow \dfrac{1}{ \cancel3} \times \cancel{312.63} \: m \: \\ \\ \\ \sf \longrightarrow 1 \times 104.21 \: m \: \: \\ \\ \\ \sf \longrightarrow 104.21 \: m \: \: \: \: \: \: \: \: \: \: \\ \\ \)
Thus,
⠀
\( \sf \longrightarrow Distance~covered~by~Evan =312.63 \: m + 104.21 \: m \\ \\ \\ \sf \longrightarrow Distance~covered~by~Evan =416.84 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \)
Thus, the distance covered by Evan is 416.84 m.
⠀
\(\underline{\rule{227pt}{2pt}} \\ \\ \)
which of these is a non real complex number ?
Normal probability distribution is applied to: A. a subjective random variable B. a discrete random variable C. any random variable D. a continuous random variable
Normal probability distribution is applied to a continuous random variable. The correct option is D.
The normal probability distribution, also known as the Gaussian distribution, is a probability distribution that is commonly used in statistics and probability theory. It is a continuous probability distribution that is often used to model the behavior of a wide range of variables, such as physical measurements like height, weight, and temperature.
The normal distribution is characterized by two parameters: the mean (μ) and the standard deviation (σ). It is a bell-shaped curve that is symmetrical around the mean, with the highest point of the curve being located at the mean. The standard deviation determines the width of the curve, and 68% of the data falls within one standard deviation of the mean, while 95% falls within two standard deviations.
The normal distribution is widely used in statistical inference and hypothesis testing, as many test statistics are approximately normally distributed under certain conditions. It is also used in modeling various phenomena, including financial markets, population growth, and natural phenomena like earthquakes and weather patterns.
Overall, the normal probability distribution is a powerful tool for modeling and analyzing a wide range of continuous random variables in a variety of fields.
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Solve for x. 3x^3/5 +6=30
x = \(\sqrt[3]{40}\) = 3.42 ( approx.) is the value of x by given equation .
What are exponents ?We often read numbers in words like hundred, thousand, hundred thousand, and ten million. Which number has more digits than we can read? For example, the mass of the Earth is 5972190000000000000000000 kg. This cannot be read in simple words. Therefore, exponents are used to pronounce these kinds of numbers.
Exponents can be observed in four different types: positive, negative, zero, and rational/fractional. Numerical values can be interpreted using exponents as the total number of times a base must be multiplied by the same base.
Calculation3x^3/5 = 24
3x^3 = 120
x^3 = 40
x = \(\sqrt[3]{40}\) = 3.42 ( approx.)
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which statement best describes the function below
Answer:
hnb nhbsmwmwnd
Step-by-step explanation:
the value of a boat is 21 200. it loses 6 of its value every year. find the approximate monthly percent decrease in value.
The approximate monthly percent decrease in value of the boat is 0.5%.
The given value of a boat is 21 200, and it loses 6% of its value every year. We are to find the approximate monthly percent decrease in value.
The given information is as follows: The value of a boat = $21,200The percentage decrease in value = 6%We are to find the approximate monthly percent decrease in value. Annual decrease in value of a boat is 6% of $21,200= $1,272Monthly decrease in value of a boat will be 1/12 of the annual decrease = $1,272/12≈ $106Thus, the approximate monthly percent decrease in value of the boat will be
\($\frac{106}{21,200}*100\%=0.5\%$\)
Therefore, the approximate monthly percent decrease in value of the boat is 0.5%.
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Your question is incomplete, but probably the complete question is :
The value of a boat is $21,200. It loses 6% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent.
A group of physical education majors was discussing the height of female runners and whether female runners tended to be tall, on the average. They decided to estimate the mean height of female runners. A sample of 12 runners showed a sample mean height of 65.80 inches and a sample standard deviation of 1.95 inches. Assume the population is approximately normal. Construct a 90% confidence interval for the mean of the population of female runners from which the 12 runners were selected.a) What is the left boundary of the confidence interval? Round your answers to two decimal placesb) What is the right boundary of the 90% confidence interval? Round your answers to two decimal places
Therefore, the 90% confidence interval for the mean height of the population of female runners is (64.77, 66.83) inches.
A confidence interval is a range of values that provides an estimate of the unknown population parameter with a certain level of confidence. The confidence level represents the percentage of times that the true population parameter will be contained within the interval, based on repeated sampling.
a) Using a t-distribution with 11 degrees of freedom (n-1), and a 90% confidence level, the t-value is 1.796.
The left boundary of the confidence interval is:
65.80 - (1.796 * (1.95 / √(12))) = 64.77 inches (rounded to two decimal places)
b) The right boundary of the confidence interval is:
65.80 + (1.796 * (1.95 / √(12))) = 66.83 inches (rounded to two decimal places)
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x+2/2x-6=3/8 solve using multiplication property of equality
The solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5
What are expressions?Expressions are mathematical statements that are represented by variables, coefficients and operators
How to solve using multiplication property of equality?The equation is given as
x+2/2x-6=3/8
Apply the multiplication property of equality.
So, we have
8(x + 2) = 3(x - 6)
Open the brackets
8x + 16 = 3x - 18
Collect the like terms
5x = -34
Divide both sides by 5
x = -34/5
Hence, the solution to the equation given as x+2/2x-6 = 3/8 is x = -34/5
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Find the height of this cone using the Pythagorean Theorem. h 6 in. 9 in. h=/[?] in. Pythagorean Theorem: a²+ b² = c2
The height of the cone using the Pythagorean theorem is 6√2 inches.
What is Pythagoras Theorem?Pythagoras theorem states that for a right angled triangle, the square of the hypotenuse is the sum of the squares of base and altitude.
Given is a cone.
Diameter of the cone = 6 inches
Radius is half the length of the diameter.
So, radius = 6 / 2 = 3 inches
Slant height of the cone = 9 inches.
So we get a right angles triangle where hypotenuse = 9 inches and one of the leg = 3 inches.
Using Pythagoras theorem,
Hypotenuse² = (leg 1)² + (leg 2)²
9² = 3² + h²
h² = 9² - 3²
h² = 81 - 9
h² = 72
h = √72 inches = √(36 × 2) = 6√2 inches
Hence the height of the cone is 6√2 inches.
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Your question is incomplete. The complete question with the image is given below.
Answer:
6 radical 2
Step-by-step explanation:
sorry no step by step explanation i was in a rush anyway please give brainliest bye :D
The relationship between hours practice and coordinate video game is modeled by the equation Y = 10x graph this relationship on the graph below what is the slope and what does it mean for the situation
answer:
provided in the explanation.
step-by-step explanation:
the graph would contain the points (0,0), (1,10), (2,20), etc. the slope is 10, which represents the number of coordinate video games practiced in x number of hours. the representation for the slope depends on whether coordinate video game or hours practiced is on the x or y axis. hope that helps!
Molly rewrote the equation as shown: -5d + 11 = 8 − 3d -5d + 11 + 3d = 8 − 3d + 3d Which property did she use to rewrite the equation? Addition property of equality distributive property multiplication property of equality substitution property
Answer: A. addition property of equality.
Step-by-step explanation:
Molly added 3d to both sides of the equation.
Help with this please. I’d appreciate if you showed the steps and the answer. Thanks!
Question 1 (2 points) (07.01) Which of the following shows 9xy - 4x + 3yx - 2y written in standard form? (2 points)
please help mee
Answer:
12xy - 4x - 2y
Step-by-step explanation:
9xy - 4x + 3yx - 2y
3yx can be written as 3xy so we have:
12xy - 4x - 2y
an experiment consists of rolling two fair dice and adding the dots on the two sides facing up. find the probability of the sum of the dots indicated greater than 5
The probability of the sum of the dots indicated greater than 5 is 13/18.
Since there are six different combinations of dots on each die, there are 36 different ways the two dice can be added together. 6*6=36
These are the values of the two die added upto greater than 5:
(1,5), (1,6), (2,4), (2,5), (2,6), (3,3), (3,4), (3,5), (3,6), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6).
So, 26 out of the 36 possible sums are greater than 5, so the probability of the sum of dots being greater than 5 is 26/36 = 13/18.
So, our final answer is 13/18.
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.(a) describe the type of indeterminate form (if any) that is obtained by direct substitution. (b) Evaluate the limit, using LâHôpitalâs Rule if necessary. (c) Use a graphing utility to graph the function and verify the result in part (b). lim_(xâ0^+) [cos(Ï/2 - x)]^x
The type of indeterminate form obtained by direct substitution in the given limit is 1^∞, where 1^∞ is not a determinate form and its value is not always predictable.
Applying L'Hôpital's Rule to the limit, we get:
lim_(xâ0^+) [cos(Ï/2 - x)]^x = lim_(xâ0^+) e^[x ln(cos(Ï/2 - x))]
Now, applying L'Hôpital's Rule to the exponent, we get:
= lim_(xâ0^+) e^[x (-tan(Ï/2 - x))]
= e^0 = 1
Therefore, the limit is equal to 1.
Using a graphing utility to graph the function, we can see that the limit approaches 1 as x approaches 0 from the right side. Therefore, the result obtained using L'Hôpital's Rule is verified by the graph.
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Can someone help me?
Answer:
118
Step-by-step explanation:
I notice you have put another question on here that is similar to this one. I am happy to put answers here and get points, but that wouldn't be helpful to you.
If you do not know how to do right-angled trigonometry please go and learn it! It will help you in the long run!
Answer:
117.98
Step-by-Step Explanation:
99 = adjacent side
x = opposite side
\( \tan(50) = \frac{o}{a} \)
\( \tan(50) = \frac{x}{99} \)
\(99 \tan(50) = x\)
\(x = 117.98\)
Can you PLEASEE help meee
Answer:
J
Step-by-step explanation:
When you add all the other ones it equals 86 degrees.
When you add 75 and 12 it doesnt equal 86 degrees
A and b are mutually exclusive events. If p(a)=0. 07692 and p(b)=0. 25, what is the probability probability of a or b. To four decimal places? select one.
The probability of A or B would be 0.3269. Probability can be used to make predictions and make decisions based on uncertain information in fields such as finance, engineering, and science.
Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, with 0 indicating that an event will not occur and 1 indicating that an event will definitely occur. Events with probabilities closer to 1 are considered more likely to happen, while events with probabilities closer to 0 are considered less likely.
Since A and B are mutually exclusive events, they cannot occur at the same time. Therefore, the probability of A or B is the sum of their individual probabilities.
p(A or B) = p(A) + p(B) = 0.07692 + 0.25 = 0.32692
To four decimal places, the probability of A or B is 0.3269.
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suppose characters a, b, c, d, e, f have probabilities .07, .09, .12, .22, .23, .27, respectively. find an optimal huffman code and draw the huffman tree. what is the average code length?
The optimal Huffman code has an average code length of 1.99 bits per character.
To construct an optimal Huffman code, we begin by sorting the probabilities in descending order:
Character Probability
f 0.27
e 0.23
d 0.22
c 0.12
b 0.09
a 0.07
We then take the two characters with the smallest probabilities and combine them into a new "super-character" with a probability equal to the sum of their probabilities. We repeat this process, always combining the two characters with the smallest probabilities, until we have only one "super-character" left. This "super-character" represents the entire alphabet, and its optimal binary code is the Huffman code for the original set of characters.
The Huffman tree for this set of characters is shown below:
The average code length is the weighted average of the code lengths, where the weight is the probability of each character:
average code length = (0.27 × 1 + 0.23 × 2 + 0.22 × 2 + 0.12 × 3 + 0.09 ×3 + 0.07 × 3) bits per character
= 1.99 bits per character
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Factorise fully
gcse maths
please help
Answer:
Step-by-step explanation:
Numbers: HCF of 18 and 30
18: 2 * 3 * 3
30:2 * 3 * 5
HCF: 2 and 3 = 6
a: a * a and a.
HCF = a
b: b
c: c and c*c
HCF: C
Answer: 6*a*b*c(3a + 5*c)
Note: for this question one of the factors is the HCF and the other is what remains when the HCF is taken out.
A golfer hits a ball from 6 yards above the ground. The graph shows the flight of the ball.
What is the RANGE of the graph?
Answer:
36
Step-by-step explanation:
is a transformation involving the addition, subtraction, multiplication, or division of or by a constant.
Yes, a transformation can involve the addition, subtraction, multiplication, or division of or by a constant. In fact, these operations are commonly used in mathematical transformations.
For example, adding a constant to each value in a set of data is a common way to shift the entire set of values up or down. Multiplying each value in a set of data by a constant is a common way to stretch or shrink the data. Subtraction and division can also be used in transformations, depending on the context. However, it is important to note that not all transformations involve these operations.
Some transformations may involve more complex operations, such as exponentiation or logarithmic transformations. So, the short answer is yes, but the long answer is that it depends on the specific transformation being used.
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Find the sum of the first 39 terms of the following series, to the nearest integer. 2 , 7 , 12 , . . .
Answer:
let'ssssssssss gooooooooooooooooooooooooooooooooooooooooooooooooo
Step-by-step explanation:
Answer:
3783
Step-by-step explanation:
Two blocks of wood are shaped as a right rectangular prism the smaller block has a length of 9 cm a width of 3 cm and a height of 7 cm the dimensions of the larger block are double the dimensions of the smaller block what is the volume of the larger block of wood
Answer:
1512 cm^3
Step-by-step explanation:
the small ones dimentions are 9 by 3 by 7
if you double that then it is 18 by 6 by 14
to figure out the volume you have to multiply all the numbers together
and you get 1512 cm^3
What is the domain of the square root function graphed below?
On a coordinate plane, a curve opens down to the right in quadrant 1. The curve starts at (3, 1) and goes through (4, 2) and (7, 3).
x greater-than 1
x greater-than-or-equal-to 10
x greater-than 3
x greater-than-or-equal-to 3
Answer:
The answer is D on edge!
Answer:
x greater - than - or - equal -to 3
Solve for x.
2 + 6x = 20
x = [?]
Answer:
x = 3
Step-by-step explanation:
2 + 6x = 20
6x = 18
x = 3
Hopefully this helps!
Brainliest please?
Answer:
2+6x=20
2- -2
6x/6=18/6
=3
Step-by-step explanation:
B is the midpoint of AC . If AB =3x-4 and BC =2x+5, what is the length of BC ?
Answer:
23
Step-by-step explanation:
AB = BC = (1/2)AC
3x - 4 = 2x + 5
x = 9
BC = 2x + 5 = 2 × 9 + 5 = 23
What can you infer from the fact that global warming has only been a problem for the last 100 years or so?
Answer:
All i infer is that first, it is called climate change, and second, climate change has nothing to do with math, and third, climate change is mostly from human pollution.
Step-by-step explanation: