Sum the first 26 terms of the series is needed to get an approximation of its sum with an error of less than 0.01.
The question asks about the series 1 - 1/3 1/5 - 1/7 and the number of terms required to approximate its sum with an error of less than 0.01.
We will use the formula for the nth partial sum of an alternating series with terms that decrease in magnitude as n increases. The formula for the nth partial sum of such a series is :Sn = a1 - a2 + a3 - ... + (-1)^(n+1)an where a1, a2, a3, ... are the terms of the series.
If we can find the smallest value of n for which the absolute value of the (n+1)th term is less than 0.01, then the sum of the first n terms will be within 0.01 of the actual sum. We can use the formula for the nth term of the series to find such a value of n.
We have a series of the form:a1 - a2 + a3 - ... + (-1)^(n+1)an where a1 = 1, a2 = 1/3, a3 = 1/5, and so on. The nth term of this series is:an = (-1)^(n+1)/(2n - 1).Therefore, we want to find the smallest value of n for which : |an+1| < 0.01, where an+1 = (-1)^(n+2)/(2(n+1) - 1)
Simplifying this inequality, we get:|(-1)^(n+2)/(2(n+1) - 1)| < 0.01, Multiplying both sides by 2(n+1) - 1 and simplifying, we get:1/(2(n+1) - 1) < 0.01.
Taking the reciprocal of both sides and simplifying, we get:2(n+1) - 1 > 100. Therefore, we want to find the smallest integer value of n such that:2(n+1) > 101n+1 > 50.5n > 49.5n > 50. The smallest integer value of n that satisfies this inequality is n = 26. Therefore, we need to sum the first 26 terms of the series to get an approximation of its sum with an error of less than 0.01.
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A human organism developing in the uterus from the ninth week until birth is called a (n) ____________.`
A human organism developing in the uterus from the ninth week until birth is called a(n) fetus.
A fetus is the term used to describe a human organism that is developing in the uterus from the ninth week of gestation until birth. During this time, the fetus undergoes significant growth and development, as all of the major organs and body systems are formed and begin to function.
The ninth week of gestation is considered a significant milestone in fetal development, as most of the critical stages of organogenesis have been completed by this time. From this point onward, the fetus primarily grows and matures in preparation for life outside of the womb.
During the remaining weeks of gestation, the fetus undergoes a number of important developmental processes, including continued brain development, growth of the nervous system, and development of the lungs and other vital organs. At the same time, the fetus also gains weight and size, and begins to develop a layer of fat that will help to regulate body temperature after birth.
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a librarian has 10 nonfiction and eight fiction books from which to choose the next three book club selections.what is the approximate probability that she chooses a fiction book, then a nonfiction book, then a fiction book?
The probability that a librarian chooses a fiction book, then a nonfiction book, then a fiction book is approximately 0.305.
The solution to this problem is a probability calculation.
To calculate the probability of selecting a fiction book, then a nonfiction book, then a fiction book from a selection of 10 nonfiction books and eight fiction books, we need to use the multiplication rule of probability.
The multiplication rule states that the probability of two or more independent events happening together is equal to the product of their individual probabilities.
To apply this rule, we'll break down the question into three events:
Probability of choosing a fiction book = 8/18 = 4/9
Probability of choosing a nonfiction book (after selecting a fiction book) = 10/17
Probability of choosing a fiction book (after selecting a nonfiction book) = 8/16 = 1/2
Now we can use the multiplication rule:4/9 * 10/17 * 1/2 = 0.305 (rounded to three decimal places)
Therefore, the approximate probability that the librarian will choose a fiction book, then a nonfiction book, then a fiction book is 0.305.
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An arithmetic sequence begins with −42, −32, −22, −12, −2 …
Which option below represents the formula for the sequence?
f(n) = −42 − 10(n+1)
f(n) = −42 + 10(n+1)
f(n) = −42 − 10(n−1)
f(n) = −42 + 10(n−1)
Thus, the obtained formula for the arithmetic sequence is found as:
f(n) = -42 + 10(n - 1).
Explain about the arithmetic sequence?A list of integers called an arithmetic sequence has a constant difference between terms. Any number may be the first in an arithmetic sequence, but the distance between succeeding terms must remain constant.
Unreal numbers can be used in a series. I believe that the next step in an equation should be an actual real number.
The nth term formula for the arithmetic sequence is:
f(n) = a1 + (n - 1)d
a1 is the first term n is the number of termsd is the common differencearithmetic sequence -
−42, −32, −22, −12, −2 …
a1 = -42
d = -32 - (-42) = -32 + 42 = 10
So, formula for the sequence:
f(n) = -42 + (n - 1)10
f(n) = -42 + 10(n - 1)
Thus, the obtained formula for the arithmetic sequence is found as:
f(n) = -42 + 10(n - 1).
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out of a random sample of 1000 dutch men, how many would we expect to be taller than cm (rounded to the nearest whole number)?
Rounding to the nearest whole number, we would expect approximately 251 Dutch men out of a random sample of 1000 to be taller than 190 cm.
To determine how many Dutch men we would expect to be taller than a certain height out of a random sample of 1000, we can use the normal distribution and the properties of the standard normal distribution. We are given that the average height of Dutch men is 183 cm with a standard deviation of 10.5 cm.
To find the probability of a Dutch man being taller than a certain height, we need to convert that height to a standard score or z-score using the formula:
z = (x - μ) / σ
where x is the height we are interested in, μ is the population mean height of Dutch men, and σ is the population standard deviation of Dutch men.
Once we have calculated the z-score, we can use a standard normal distribution table or calculator to find the probability of a Dutch man being taller than that height.
For example, if we want to find the number of Dutch men we would expect to be taller than 190 cm, we can calculate the z-score as:
z = (190 - 183) / 10.5 = 0.67
Using a standard normal distribution table or calculator, we can find that the probability of a standard normal variable being greater than 0.67 is approximately 0.2514.
To find the number of Dutch men we would expect to be taller than 190 cm out of a sample of 1000, we can multiply the probability by the sample size:
1000 * 0.2514 = 251.4
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Complete question is:
Males in the Netherlands are the tallest, on average, in the world with an average height of 183 centimeters (cm) (BBC News website). Assume that the height of men in the Netherlands is normally distributed with a men of 183 cm and standard deviation of 10.5cm. out of a random sample of 1000 dutch men, how many would we expect to be taller than cm (rounded to the nearest whole number)?
. cards are dealt from a standard shuffled deck of cards until the first ace is drawn. what is the chance that the next card is a king?
Cards are dealt from a standard shuffled deck of cards until the first ace is drawn. So the chance that the next card is a king is 0.05 percent.
When drawing a card from a standard deck of 52 cards, the chance of drawing an ace is 4/52 or 1/13. After an ace has been drawn, there are 51 cards left in the deck, and 4 of them are kings.
So, the probability of drawing an ace and then a king is
(1/13) × (4/51) = 4/663.
There are 4 different aces that could be drawn, each with the same probability of
(1/13) × (4/51) = 4/663,
So we multiply by 4 to account for all the possible aces that could be drawn.
Therefore, the total probability of drawing an ace and then a king is
(4/663) × 4 = 16/663.
Once an ace has been drawn, there are 51 cards remaining in the deck, and only one of them is a king. Therefore, the probability of drawing a king after an ace has been drawn is 1/51.
The probability that the next card is a king after the first ace is drawn is thus:
(16/663) × (1/51) = 16/33663
= 1/2104.
This simplifies to 0.0475 percent or approximately 0.05 percent.
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PLEASE HELP, DUE NOW
Which of the following equations represents a linear function?
y equals two thirds times x squared
x = 5
y equals negative one fourth times x plus 5
2x + 7 = 12
According to the question this equation represents a single point in the xy-plane, and does not have a constant rate of change. It doesn't have a linear function as a result.
Explain equation?When the roots and solutions of two equations match, they are said to be equivalent. The same number, symbols, or expression must be added to or subtracted from both the equation's two sides to produce an equivalent equation. By multiplying or dividing both sides of an equation by a nonzero number, we can also obtain an analogous equation.
Equation representing a linear function:
Y is equivalent to x plus 5 times the negative one-fourth.
Linear functions have a constant rate of change, which means that as x increases or decreases by a certain amount, y also changes by a constant amount. The equation y equals negative one fourth times x plus 5 has a constant slope of negative one fourth, which means that for every increase of one in x, y will decrease by one fourth. This is a characteristic of a linear function.
The equation y equals two thirds times x squared represents a quadratic function, which has a curved graph.
The equation x = 5 is a linear equation, but it only represents a vertical line passing through x = 5. It does not have a slope or a y-intercept, which are necessary for a linear function.
The equation 2x + 7 = 12 can be simplified to a linear equation of the form y = mx + b by solving for y:
2x + 7 = 12
2x = 5
x = 5/2
Substituting x = 5/2 back into the equation gives:
y = 2(5/2) + 7 = 12
This equation represents a single point in the xy-plane, and does not have a constant rate of change. Therefore, it is not a linear function.
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if you flip two coins 28 times, what is the best prediction possible for the number of times both coins will land on heads?
When you flip two coins 28 times, the best prediction possible for the number of times both coins will land on heads is 7 times.
This can be explained with the following calculations:
When flipping a coin, the chance of getting heads or tails is 1/2 or 0.5.
If you flip two coins, the probability of getting two heads is calculated by multiplying the probability of getting heads on the first coin by the probability of getting heads on the second coin, which is (1/2) x (1/2) = 1/4 or 0.25 or 25%.
To calculate the expected number of times both coins will land on heads in 28 flips, we use the following formula:
Expected value = Probability x Total number of flips
Expected value = 0.25 x 28
Expected value = 7
Therefore, the best prediction possible for the number of times both coins will land on heads is 7 times.
It's important to note that this is only a prediction, and the actual number of times both coins land on heads could be more or less than 7.
This is because probabilities are based on chance, and chance outcomes can be unpredictable.
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7. Levi invests $600 into an account earning 4% annual interest compounded monthly. How much money
will he have in 14 years?
Answer:
Step-by-step explanation:
To solve this question, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A is the total amount of money after t years
P is the initial principal (in this case, $600)
r is the annual interest rate (4%)
n is the number of times the interest is compounded per year (12, for monthly compounding)
t is the number of years
Plugging in the values, we get:
A = 600(1 + 0.04/12)^(12*14)
A = 600(1.00333)^168
A = $988.42 (rounded to two decimal places)
So, after 14 years, Levi will have approximately $988.42 in his account.
The box plot represents the number of tickets sold for a school dance.
A horizontal line labeled Number of Tickets sold that starts at 7, with tick marks every one unit up to 32. The graph is titled Tickets Sold for A Dance. The box extends from 15 to 21 on the number line. A line in the box is at 19. The lines outside the box end at 8 and 31.
Which of the following is the appropriate measure of variability for the data, and what is its value?
The IQR is the best measure of variability, and it equals 13.
The IQR is the best measure of variability, and it equals 6.
The range is the best measure of variability, and it equals 13.
The range is the best measure of variability, and it equals 6.
The correct statement regarding the best measure of the variability is given as follows: The IQR is the best measure of variability, and it = 6. The Interquartile Range (IQR of a data-set. As it not affected by outliers, it is the best measure of variability of a data-set. The quartiles for this problem are given as follows: First quartile: Q1 = 15. Third quartile Q3 = 21. Hence the IQR is obtained as follows: IQR = 21 - 15 IQR = 6
Answer: The IQR is the best measure of variability, and it equals 6.
IQR is the best way to measure the variability in this question and its also equal to six. I took the test just now and got it right i cant really explain anything else.
m/4 = 5+m/5
Find the Value of m
2.) In the coordinate plane, the line with equation y = 5x - 10 crosses the x-axis at the point with coordinates (a, b) What is the value of a? Explain or show your work.
Answer:
6y
Step-by-step explanation:
because if u divde
Answer:
(2,0). First use a graphing calculator called demos. graph the y=5x-10
Once you graph the equation. Look for the cooordinates of the graph. One the coordinates are 2,0
Step-by-step explanation: Hope this helps!! Mark me brainliest!! Have a great spring break!! :))
matrix flipped 3 coins. what is the probability that all three coins will land on the same side
Answer:
When flipping a coin, there are two possible outcomes: heads or tails. The probability of getting heads on any one flip is 1/2, and the probability of getting tails is also 1/2.
To find the probability that all three coins will land on the same side (either all heads or all tails), we can use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.
So, for each coin flip, there are two possible outcomes, and the probability of getting either outcome is 1/2. To find the probability that all three coins will land on the same side, we need to find the probability of getting either all heads or all tails.
The probability of getting all heads is:
(1/2) x (1/2) x (1/2) = 1/8
Similarly, the probability of getting all tails is also 1/8.
So, the probability of all three coins landing on the same side is:
1/8 + 1/8 = 2/8 = 1/4
Therefore, the probability that Matrix will flip 3 coins and all three coins will land on the same side is 1/8 or 0.125, which can also be written as a fraction or percentage.
a number is equal to . what is the smallest positive integer such that the product is a perfect cube?
The smallest positive integer y such that the product xy is a perfect cube is 3.
To find the value of y, we need to factorize x, which is 7 * 24 * 48.
We can then find the prime factorization of xy, which will help us determine the smallest integer y that will make the product a perfect cube.
Since 7, 24, and 48 are already factored, we can express x as:
x = 2⁴ * 3 * 7²
To make xy a perfect cube, we need to ensure that the exponents of all the prime factors are multiples of 3.
Therefore, we need to add a factor of 3 to the exponent of 2 in x to make it a multiple of 3. This gives us:
xy = 2⁷ * 3² * 7²
The smallest integer y that can make this product a perfect cube is 3, because we need to add a factor of 1 to the exponent of 2 in xy to make it a multiple of 3, and the smallest integer that can achieve this is 3.
Thus, the smallest positive integer y such that the product xy is a perfect cube is 3.
The question is: A number x is equal to [tex]$7\cdot24\cdot48$[/tex]. What is the smallest positive integer y such that the product xy is a perfect cube
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Write the equation of the line in standard form.
y = 3x + 10
X
x
X
X
A
B
C
D
3x + y = -10
3x + y = 10
3x - y = -10
3x - y = 10
The equation of the line y = 3x + 10 in standard form is 3x - y = -10.
What is the equation of line in standard form?Given the equation of line in the question:
y = 3x + 10
To write the equation of the line in standard form, we need to rearrange the equation so that the x and y terms are on the left side and the constant term is on the right side of the equation.
It is expressed as;
Ax + Bx = C
y = 3x + 10
Subtracting 3x from both sides, we get:
y - 3x = 3x - 3x + 10
y - 3x = 10
Reorder
-3x + y = 10
Multiply each term by -1
-3x(-1) + y(-1) = 10(-1)
3x - y = -10
Therefore, the equation in standard form is 3x - y = -10.
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it is estimated that 45% of the senior class will go to prom this year. if you randomly choose 10 seniors and ask them if they are going to prom, would you use the normal approximation to predict these results?
Yes, we would use the normal approximation to predict these results.
When it comes to hypothesis testing and confidence intervals, the normal distribution plays a crucial role.
When sample sizes are large enough, the normal distribution can be used as a reasonable approximation for the binomial distribution.
This is because the binomial distribution approaches the normal distribution as sample size increases.
To calculate the normal approximation, you will need to determine the mean and standard deviation of the binomial distribution.
The mean is np and the standard deviation is the square root of np(1-p),
where n is the sample size and p is the probability of success.
The probability of success in this case is 45%, or 0.45.
Therefore, the mean is 10 * 0.45 = 4.5 and the standard deviation is the square root of 10 * 0.45 * (1 - 0.45) = 1.37.
Now that you have the mean and standard deviation, you can use the normal distribution to make predictions about the sample.
If you want to find the probability that exactly 5 students will go to prom, for example, you would use the formula for the normal distribution with a mean of 4.5 and a standard deviation of 1.37.
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A penny is 19 mm wide. What is the area of the front side of the penny? Use 3.14 for π. Round to the nearest hundredth if necessary.
HELP ME QUICK PLEASE!
Answer:
≈283,39 mm^2
Step-by-step explanation:
The diameter is 19 mm, so the radius is half diameter (9,5 mm)
[tex]a = \pi \times {r}^{2} = 3.14 \times {9.5}^{2} = 3.14 \times 90.25 ≈ 283.39[/tex]
Which choice would transform the pre-image to the composite image? Make sure the letter for each vertex matches! Select one: a. Reflect across the y-axis and translate 4 down and three left. b. Rotate 180° and reflect across the x-axis. c. Rotate 90° and translate 4 up and 3 right. d. Reflect across the x-axis and translate up 4 and right 3.
d. Reflect across the x-axis and translate up 4 and right 3, this transforms the pre-image to the composite image.
What is composite image?
A composite image is the result of applying multiple transformations to a given pre-image. It is formed by first applying one transformation to the pre-image and then applying another transformation to the resulting image, and so on. The final result is the composite image.
Let's analyze the given options:
a. Reflect across the y-axis and translate 4 down and three left.
This transformation would reflect the pre-image across the y-axis, which would change the signs of the x-coordinates, and then translate it 4 units down and 3 units left. However, this transformation would not result in the composite image provided.
b. Rotate 180° and reflect across the x-axis.
This transformation would rotate the pre-image 180 degrees counterclockwise around the origin, which would change the signs of both the x and y-coordinates, and then reflect it across the x-axis. This transformation would not result in the composite image provided.
c. Rotate 90° and translate 4 up and 3 right.
This transformation would rotate the pre-image 90 degrees counterclockwise around the origin, which would swap the x and y-coordinates and negate the new x-coordinate, and then translate it 4 units up and 3 units right. This transformation would not result in the composite image provided.
d. Reflect across the x-axis and translate up 4 and right 3.
This transformation would reflect the pre-image across the x-axis, which would change the signs of the y-coordinates, and then translate it 4 units up and 3 units right. This transformation would result in the composite image provided.
Therefore, the correct answer is d. Reflect across the x-axis and translate up 4 and right 3.
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HELP PLEASE 23 POINTS!!
The number of hours spent studying each week for 9 week is shown.
5, 8.5, 11, 13, 5.5, 9, 2, 4, 6.5
What is the value of the range for this set of data?
Answer:
Range = Highest number -Lowest number
= 13-2=11
Answer:
11
Step-by-step explanation:
Highest number = 13
Lowest number = 2
Range = highest number - lowest number
Range = 13 - 2 = 11
DUE IN 5 HOURS HELP!
The graph below shows a company's profit f(x), in dollars, depending on the price of goods x, in dollars, being sold by the company:
Part A: What do the x-intercepts and maximum value of the graph represent in context of the described situation?
Part B: What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit for the company in the situation described?
Part C: What is an approximate average rate of change of the graph from x = 1 to x = 3, and what does this rate represent in context of the described situation?
Answer:
Step-by-step explanation:
Credits : sqdancefan (Brainly.com)
I changed some of it myself :)
Answer:
A) intercept: 0 profit : Maximum(max) : max profit. increasing x <4 ; decreasing x > 4
B) average slope: ≈50, about $50 increasing profit for each $1 increasing in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices in the produce 0 profit. The maximum value of the graph is the maximum profit that can be obtained for anyprice
The higher or largest number of the chart is the maximum reach
B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of the change from x = 1 to x = 4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in what interval.
______
* if we take the peak profit to be $270 we can write f(x) as ...
f(x) 16.875x(x-8)
Then f(1) = 118.15 ad average rate if changed is 50.625. For the purpose here, we judge the extra precision to be pointless
know what it is but needs to know how to do it
5x+75=180
Answer:21
Step-by-step explanation:
5x=180-75
5x=105
x=105/5
x=21
Solve Systems of Equations
Y= 1/2x
3y= x-1
according to the bureau of justice statistics, 10% of persons age 16 or older had been victims of identity theft during the prior 12 months in 2016. what is the minimal sample size of a random sample of persons age 16 or older to generate a normal distribution approximation?
According to the bureau of justice statistics, 10% of persons age 16 or older had been victims of identity theft during the prior 12 months in 2016. 200 is the minimal sample size of a random sample of persons age 16 or older to generate a normal distribution approximation.
In order to generate a normal distribution approximation from a sample of persons aged 16 or older, a minimum sample size of 200 individuals would be necessary. This number is based on the assumption that 10% of persons aged 16 or older had been victims of identity theft in 2016, according to the Bureau of Justice Statistics.
The normal distribution approximation of a population is determined by obtaining a random sample of the population, and using it to approximate the probability distribution of a given variable. The larger the sample size, the more accurate the approximation will be, so a sample size of 200 individuals is the minimum required to generate a normal distribution approximation.
In order to obtain a random sample, the population must be divided into subgroups and a certain number of individuals from each group should be selected. A larger sample size will be more representative of the population and will improve the accuracy of the approximation.
In conclusion, a minimum sample size of 200 individuals would be necessary in order to generate a normal distribution approximation of persons aged 16 or older in 2016, based on the Bureau of Justice Statistics finding that 10% of persons aged 16 or older had been victims of identity theft during the prior 12 months in 2016.
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Please help I’ll give 50 points please I need this done by tonight!
According to the given information, the sale price is 160% of the purchase price and she would need to buy at least 4 jackets to make at least $250 in total sales.
What is the percentage?
The percentage is a way of expressing a fraction or proportion out of 100. It is commonly used in many different areas such as finance, math, science, and everyday life.
a. To find the percent of the purchase price that the sale price represents, we can use the formula:
percent = (sale price/purchase price) x 100
Plugging in the given values, we get:
percent = (96 / 60) x 100 = 160%
Therefore, the sale price is 160% of the purchase price.
b. If the owner increases the sale price by 160% when buying jackets for $45, then the new sale price for each jacket will be:
new sale price = 1.6 x $45 = $72
To find the number of jackets the owner must buy to make at least $250 in total sales, we can set up an equation:
number of jackets x $72 = $250
Solving for the number of jackets, we get:
number of jackets = $250 / $72 ≈ 3.47
Since the owner can only sell a whole number of jackets, she would need to buy at least 4 jackets to make at least $250 in total sales.
This is because selling 3 jackets would only bring in $216 in total sales, which is less than $250.
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pls help
find the area of the composite figure.
Answer:
area=188
Step-by-step explanation:
12×14=168 for the area of the rectangle
2×10=20
20÷2=10 for the area of triangle
168+10+10=188
area=188
a spherical snowball is melting in such a way that its diameter is decreasing at rate of 0.3 cm/min. at what rate is the volume of the snowball decreasing when the diameter is 12 cm.
The rate of decrease in volume of the snowball when its diameter is 12 cm is approximately 1.36 cm³/min.
When a spherical snowball is melting, it's diameter decreases at a rate of 0.3 cm/min. The rate of change of volume of a sphere is given by:dV/dt= (4π/3)r²(dr/dt)Since the diameter is given as 12 cm, the radius of the snowball is 6 cm.So the diameter is decreasing at a rate of 0.3 cm/min.
We are to find the rate of decrease in volume of the snowball when the diameter is 12 cm.The radius of the snowball is given by r = 6 cm, and the rate of change of its diameter is d = -0.3 cm/min.At this point, we need to calculate the rate of decrease in volume of the snowball when the diameter is 12 cm.
The rate of decrease in volume of the snowball is given bydV/dt = (4π/3)r²(dr/dt)dV/dt = (4π/3)(6 cm)²(-0.3 cm/min)≈ -1.36 cm³/minTherefore, the rate of decrease in volume of the snowball when the diameter is 12 cm is approximately -1.36 cm³/min.
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is the real-estate market heating up? to estimate the mean sales price, a realtor in a large city randomly selected 100 home sales from the previous 6 months in her city. these sales prices are displayed in the boxplot.
The truth regarding the conditions for constructing a confidence interval for a population mean for the real estate market is that E. All conditions have been met.
What conditions are needed to construct a confidence interval ?For a confidence interval to be construction, sample should be randomly selected, sample size should be no more than 10% of the population size, and the sampling distribution should be approximately normal. This can be achieved if the sample size is large (typically n ≥ 30) and the data doesn't have strong skewness or outliers.
The question states that the realtor is working in a large city, and it is reasonable to assume that 100 home sales are less than 10% of all homes sold in the previous 6 months in this large city. So, this condition is met.
The realtor has randomly selected 100 home sales, so the random condition is met. All conditions have therefore been met to construct a confidence interval.
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Options for this question include:
The 10% condition is not met. It is not reasonable that 100 < 10% of all homes sold in the previous 6 months in this large city. Random: This condition is not met because the sample was selected from only one city. The Normal/Large Sample condition has not been met because the boxplot is strongly skewed to the right with outliers. The Large Counts condition has not been met because np = 100 and n(1-P) are not both at least 10. All conditions have been met.ashley and her brother mason are building block towers. ashley's 1-meter tower is 10 blocks high. mason's tower is only 7 blocks high. if all of the blocks are the same size, how many centimeters taller is ashley's tower than mason's?
Ashley's tower is 30 centimeters taller than Mason's tower. Ashley's tower is 10 x (1/10) = 1 meter tall. Mason's tower, on the other hand, is 7 x (1/10) = 0.7 meters tall.
Ashley's tower is 10 blocks high and each block has a height of 0.1 meters since 1 meter is divided into 10 equal parts. Therefore, the total height of Ashley's tower is 10 x 0.1 = 1 meter. Mason's tower, on the other hand, is 7 blocks high and has a total height of 7 x 0.1 = 0.7 meters. The difference between Ashley's tower and Mason's tower is the height of Ashley's tower minus the height of Mason's tower, which is 1 meter - 0.7 meters = 0.3 meters. To convert meters to centimeters, we need to multiply by 100, so Ashley's tower is 0.3 x 100 = 30 centimeters taller than Mason's tower.
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Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. How far is the kite above the ground?
If Kelly is flying a kite to which the angle of elevation is 70 degrees. The string on the kite is 65 meters long. The kite is about 61 meters above the ground.
How to find the height?We can use trigonometry to solve the problem. Let's call the height of the kite above the ground "h".
Using trigonometry, we can write:
sin (70) = h / 65
Solving for h, we get:
h = 65 * sin(70)
h= 65 * 0.9397
h ≈ 61 meters
Therefore, the kite is about 61 meters above the ground.
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clark was asked to complete a self-administered questionnaire posted at mysurvey. what type of survey did clark complete?
Clark completed a self-administered questionnaire, which is also known as an online survey.
This type of survey is administered online and is completed by the participant (in this case, Clark) without the assistance of a researcher or interviewer. It can be delivered through an online form or through an email or online survey link.
The questionnaire typically includes multiple-choice questions, short-answer questions, and rating scales that the participant can answer with a click or tap. After the participant completes the survey, their answers are collected and analyzed by the researcher. This type of survey is a cost-effective and convenient way to collect data from a large number of people in a short amount of time.
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Write the equation of a line that is parallel to the line x-3y=15 that go through the point (-9,8)
Answer:
eqn of line : x-3y=15
slope1=m= -coefficient of x/coefficient of y=1/3
As lines are parallel slope must be equal.
slope3=m'=1/3
passing points of second line =(0,7)
eqn of line = (y-y')=m(x-x')
=(y-7)=1/3(x-0)
=y-7=1/3x
=1/3x-y+7=0
=x-3y+21=0
Step-by-step explanation: