In the interval [0, 2π), the cosine function is equal to zero at θ = π/2 and 3π/2. As a result, the domain of the tangent function on this interval does not include these angles.
So the angles that are NOT in the domain of the tangent function on the interval [0, 2π) are:
π/2 (90 degrees)
3π/2 (270 degrees)
The tangent function is a trigonometric function that describes the ratio of the length of the opposite side to the length of the adjacent side in a right triangle. Specifically, it is defined as the ratio of the sine of an angle to the cosine of that angle.
The tangent function is denoted by the symbol "tan" and is typically used in mathematics and physics to solve problems involving angles and triangles. It is one of the six basic trigonometric functions, along with sine, cosine, cosecant, secant, and cotangent. The value of the tangent function ranges from negative infinity to positive infinity, and it has periodicity of 180 degrees. The tangent function is undefined at certain angles, such as 90 degrees and 270 degrees, where the adjacent side is equal to zero.
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Complete Question: -
On the interval [0,2π) determine which angles are not in the domain of the tangent function, f(θ)=tan(θ)
What angles are NOT in the domain of the tangent function on the given interval?
Which of the following vectors is perpendicular to (-4,2)?
a) (-3.6)
b) (-1,-2)
c) (2,-3)
d) (4,-8)
The vectors is perpendicular to (-4,2) will be (b) (-1,-2)
What is dot product of two vectors?The dot product of two vectors is found by multiplying the corresponding components of the vectors and adding the results. which is, if the two vectors are (a, b) and (c, d), their dot product is ac + bd.
To calculate the dot product of (-4, 2) with each of the given vectors:
a) (-3.6):
(-4)(-3.6) + (2)(-3.6) = 14.4 - 7.2 = 7.2
b) (-1, -2):
(-4)(-1) + (2)(-2) = 4 - 4 = 0
c) (2, -3):
(-4)(2) + (2)(-3) = -8 - 6 = -14
d) (4, -8):
(-4)(4) + (2)(-8) = -16 - 16 = -32
Therefore, the vector that is perpendicular to (-4, 2) is option (b) (-1,-2).
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Hi there! I'm looking for help on this problem. I'm not very good at algebra, especially the graphing part. Could someone explain it to me thoroughly? I've tried asking various people, watching videos, and even reading some articles, but it just didn't stick. It's either way too much information that I get overwhelmed or it's too fast paced. Here's a screenshot!
Here you go I hope this helps you with 2 pictures here.. continuation of the other enjoy I hope I wasn't too late.
If the population standard deviation of a sample increases without other changes, what is most likely to happen to the confidence interval?
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to widen.
This is because the standard deviation is a measure of the spread of the data, so if it increases, the data points are more spread out from the mean. As a result, the range of values that could reasonably contain the true population parameter (i.e., the confidence interval) needs to be wider to account for the increased variability in the sample.
If the population standard deviation of a sample increases without other changes, the confidence interval is most likely to become wider.
When standard deviation increases, it indicates more variability in the data. As a result, the confidence interval, which is a range of values that estimates the true population parameter with a certain level of confidence, needs to be wider to account for the increased variability. This ensures that the true population parameter is still captured within the interval with the same level of confidence.
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Joel has 40$ in a savings account that earns 10% interest per year. The interest is not compounded. how much will he have in 5 total years
Answer: $1,100 per month for 10 years, if the account earns 2% per year
Step-by-step explanation: $1,100 per month for 10 years, if the account earns 2% per year What the student or parent is asking is: If they deposit $1,100 per month in a savings/investment account every month for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? Deposits are monthly. But interest crediting is annual. What we want is to match the two based on interest crediting time, which is annual or yearly. 1100 per month. * 12 months in a year = 13,200 per year in deposit Since we matched interest crediting period with deposits, we now want to know: If they deposit $13,200 per year in a savings/investment account every year for 10 years, and they earn 2% per year, how much will the account be worth after 10 years? This is an annuity, which is a constant stream of payments with interest crediting at a certain period. [SIZE=5][B]Calculate AV given i = 0.02, n = 10[/B] [B]AV = Payment * ((1 + i)^n - 1)/i[/B][/SIZE] [B]AV =[/B]13200 * ((1 + 0.02)^10 - 1)/0.02 [B]AV =[/B]13200 * (1.02^10 - 1)/0.02 [B]AV =[/B]13200 * (1.2189944199948 - 1)/0.02 [B]AV =[/B]13200 * 0.21899441999476/0.02 [B]AV = [/B]2890.7263439308/0.02 [B]AV = 144,536.32[/B]
ASAP!! WILL GIVE BRAINLEST
Write the equation of the circle centered at (4, - 8) that passes through (16, 19)
Answer:
(x -4)² +(y +8)² = 873
Step-by-step explanation:
You want the equation of the circle with center (4, -8) through point (16, 19).
EquationThe equation of a circle with center (h, k) and radius r is ...
(x -h)² +(y -k)² = r²
The value of r² can be found by evaluating the left-side expression at the given point:
(x -4)² +(y -(-8))² = (16 -4)² +(19 +8)² = 144 +729
(x -4)² +(y +8)² = 873 . . . . . . . circle equation
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When you distribute, you ______ each number inside parentheses by the number outside parentheses.
Answer:
multiply
Step-by-step explanation:
Example:
3(6+7)
18+21
Lori made a cake her brother ate 3/4 of it what decimal repesents 3/4
Answer:
0.75
Step-by-step explanation:
Joanie built a pool. How many cubic feet of water can fit in the pool?
Solve on paper, then enter your answer on Zearn. You can use the calculator to help you solve.
L-shaped prism with side lengths labeled: 4 ft, 8 ft, 6 ft, 12 ft, 2 ft, 10 ft and 4 ft.
Joanie's pool
cubic feet of water can fit in the pool.
The volume of the pool is 528 cubic feet.
Determine the volumes of each rectangular prism separately and then add them up to determine the volume of Joanie's pool. The rectangular prisms have the following measurements:
4 ft x 8 ft x 6 ft
12 ft x 2 ft x 10 ft
4 ft x 4 ft x 6 ft
Multiply the first rectangular prism's length, width, and height to determine its volume:
4 ft x 8 ft x 6 ft = 192 cubic feet
Multiply the length, width, and height to determine the volume of the second rectangular prism:
12 ft x 2 ft x 10 ft = 240 cubic feet
Multiply the third rectangular prism's length, width, and height to determine its volume:
4 ft x 4 ft x 6 ft = 96 cubic feet
The volumes of the three rectangular prisms are now added up:
192 cubic feet + 240 cubic feet + 96 cubic feet = 528 cubic feet
Therefore, the pool can hold 528 cubic feet of water.
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It takes Tim 4.5 hours to run 50 kilometers. Which expression will
allow him to change this rate to minutes per mile?
Answer:
To change Tim's running rate from kilometers per hour to minutes per mile, we need to use unit conversion factors.
First, we need to convert the distance from kilometers to miles. One kilometer is equal to 0.621371 miles. Therefore, 50 kilometers is equal to:
50 km * 0.621371 mi/km = 31.06855 miles
Next, we need to convert the time from hours to minutes. One hour is equal to 60 minutes. Therefore, 4.5 hours is equal to:
4.5 hours * 60 min/hour = 270 minutes
Now, we can calculate Tim's running rate in minutes per mile by dividing the time by the distance:
270 min / 31.06855 miles = 8.69805 minutes per mile
So the expression that will allow Tim to change his running rate to minutes per mile is:
(4.5 hours * 60 min/hour) / (50 km * 0.621371 mi/km)
Step-by-step explanation:
duh
Ill mark u as brainliest if u answer this!!!
Answer:
min=28
lower=34
median=39
upper=46.5
max=55
inter range=12.5
Step-by-step explanation:
Nice that the numbers are in order for you
The min is your smallest number = 28
To find the next part separate into 4 equal parts so you have 3 lines
The first line is between 34 and 34 the average of the 2 numbers is your lower quartile
lower quartile =34
middle line is your median between 39 and 39
median = 39
upper quartile is that 3rd line between 42 and 51 average is upper
upper quartile = (42+51)/2 = 46.5
max is the highest number = 55
Interquartile range is the difference between upper and lower = 12.5
Answer:
Step-by-step explanation:
A submarine starts moving down in water at the rate of 6metre per minute. After some time it reaches a depth of 60metre. How will this distance be represented. ? How much time will the submarine take to reach this level?
Answer: It moves 60 metres in 60/6 mins, or 10 minutes. Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed
Step-by-step explanation: 10 is your answer
Hope this helps
brainliest?
A ream of printer paper weighs 5 1/4 pounds. Adam used 1/3 of a ream to print flyers. What is the weight of the remaining paper?
The weight of the remaining paper is 5/12 pounds.
A ream of printer paper is a standard measure of paper quantity that typically consists of 500 sheets. The weight of a ream of paper depends on the type of paper and its thickness. In this problem, we are given that a ream of printer paper weighs 5 1/4 pounds.
Now, Adam used 1/3 of a ream to print flyers. We can find the weight of the paper Adam used by multiplying 1/3 of the weight of a ream of paper by its weight:
Weight of paper used = (1/3) x 5 1/4 pounds
Weight of paper used = (5/3) x (1 1/4) pounds
Weight of paper used = 6 7/12 pounds
To find the weight of the remaining paper, we need to subtract the weight of the paper used from the weight of the full ream:
Weight of remaining paper = Weight of full ream - Weight of paper used
Weight of remaining paper = 5 1/4 pounds - 6 7/12 pounds
Weight of remaining paper = (21/4) pounds - (79/12) pounds
Weight of remaining paper = (21/4) pounds - (6 7/12) pounds
Weight of remaining paper = (21/4) pounds - (6 7/12) pounds
Weight of remaining paper = (84/12) pounds - (79/12) pounds
Weight of remaining paper = (5/12) pounds
Therefore, the weight of the remaining paper is 5/12 pounds.
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Date
Page
पाठशाला'
The yearly incoming an individuals is
Rs. 4, 44,000 with Rs 24000 allowance.
What is her his taxable income?
Result:
Taxable income of the individual = Rs. 420,000.
How do we calculate the taxable income?To calculate the taxable income, we will subtract the allowance from the individual's yearly income:
Given:
Yearly income = Rs. 4,44,000
Allowance Rs. 24,000
Taxable Income = Yearly Income - Allowance
Taxable Income = Rs. 4,44,000 - Rs. 24,000
Taxable Income = Rs. 420,000.
Therefore, the taxable income of the individual is Rs. 420,000.
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Explain the steps you would take to write 3 6/10 as a decimal.
Mix fraction 3(6/10) written as a decimal is 3.6.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To write 3 6/10 as a decimal, we can first convert the mixed number to an improper fraction.
To do this, we multiply the whole number (3) by the denominator of the fraction (10) and add the numerator (6):
3 6/10 = (3 x 10 + 6)/10 = 36/10
Next, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:
36/10 = (18 x 2)/(5 x 2) = 18/5
Now, we have an improper fraction.
To convert it to a decimal, we can divide the numerator by the denominator using long division or a calculator:
18 ÷ 5 = 3.6
Therefore,
3 6/10 written as a decimal is 3.6.
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The owner of trixie's sweets and treats, a large candy store, wants to order a new sign to be displayed above the storefront. the sign will be in the shape of the store's logo: an isosceles triangle with a height that's double the length of its base. so that the sign is big enough to see from the street, the owner decides that the area of the sign should be approximately 200 square feet. Write down the equation that can you use to find the length of the sign's base, b?
Step-by-step explanation:
Let's call the length of the base of the triangle "b". We know that the height of the triangle is double the length of the base, so the height can be written as "2b".
We also know that the area of the triangle is approximately 200 square feet. The formula for the area of a triangle is:
A = (1/2)bh
where A is the area, b is the length of the base, and h is the height.
We can substitute in the values we know:
200 = (1/2)bh
Since we know that h = 2b, we can substitute that in:
200 = (1/2)b(2b)
Simplifying:
200 = b^2
This is the equation we can use to find the length of the sign's base, b.
We can set the equation to: 200 = (1/2) × b × (2b)
To find the length of the sign's base, b, we can use the equation for the area of an isosceles triangle: A = (1/2)bh, where b is the length of the base and h is the height. Since we know that the height is double the length of the base, we can substitute 2b for h in the equation: A = (1/2)b(2b). Simplifying, we get A = b^2. Since we know that the area should be approximately 200 square feet, we can set A = 200 and solve for b: b^2 = 200. Taking the square root of both sides, we get b = 14.14 feet. Therefore, the length of the sign's base should be approximately 14.14 feet.
To find the equation for the length of the base of the sign, we'll use the formula for the area of a triangle, which is:
Area = (1/2) × base × height
Since the height of the triangle is double the length of its base (h = 2b), we can rewrite the equation as:
Area = (1/2) × b × (2b)
The owner of Trixie's Sweets and Treats wants the area of the sign to be approximately 200 square feet. So, we can set the equation to:
200 = (1/2) × b × (2b)
Now we have the equation that you can use to find the length of the sign's base, b.
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what is the difference between a record and a field? a record is a single piece of information in a field. a field is a single piece of information in a record
The statement provided is actually the opposite of the correct definitions.
In database terminology, a field refers to a single piece of information that is stored in a database table. A field can contain a variety of data types such as text, numbers, dates, and so on. For example, in a database table of customer information, there might be fields for the customer's name, address, phone number, and email.
A record, on the other hand, is a complete set of information about an entity in a database. A record consists of a collection of fields that are all related to each other. For example, in the customer information table mentioned above, a single record might represent a specific customer, and would contain all the fields related to that customer (name, address, phone number, email, etc.).
So to summarize, a field is a single piece of information within a record, while a record is a collection of related fields that together represent a complete set of information about an entity in a database.
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for which of the three intervals do you have the most confidence that the interval captures the population mean ?group of answer choices(3, 4)(2.5, 4.5)(2, 5) flag question: question 2question 22.5 ptsthe confidence interval in which you have the most confidence that it captures the population mean must be:group of answer choicesthe 90% confidence intervalthe 95% confidence intervalthe 99% confidence interval flag question: question 3question 32.5 ptswhich of the three confidence intervals provides the most precise estimation?group of answer choices(3, 4)(2, 5)(2.5, 4.5) flag question: question 4question 42.5 ptsthe confidence interval that provides the most precise estimation, must be:group of answer choicesthe 99% confidence intervalthe 95% confidence intervalthe 90% confidence interval
The three intervals do you have the most confidence that the interval captures the population mean (x) is (2.4, 4.5). option (b).
An interval is a range of values that is used to estimate a population parameter, such as the mean.
To answer your question, let's look at the three intervals you provided: (1) (1.3, 4), (2) (2.5, 4.5), and (3) (2, 5). We want to determine which interval has the highest level of confidence in capturing the population mean.
Interval (1) has a range of 2.7 units, which is relatively large. This means that it is possible that the true population mean could fall anywhere within this range.
Interval (2) has a smaller range of 2 units, which means that it is more likely to capture the true population mean. Interval (3) has the largest range of 3 units, which makes it less likely to capture the true population mean compared to interval (2).
Hence the correct option is (b).
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Complete Question:
For which of the three intervals do you have the most confidence that the interval captures the population mean (x)?
a) (13,4)
(b) (2.5, 4.5)
(c) (2,5)
Aisha Brewer’s checking account has a balance of $523.45. She has a check for $435.62 and a check for $65.98. She would like to receive $40 in cash and deposit the rest of the money in her checking account. What is Aisha’s total deposit and what will her checking balance be?
Answer:
Total deposit: $501.6
Total Balance: $985.05
Step-by-step explanation:
Aisha's original total is 523.45. Since she is depositing a check for $435.62 and a check for 65.98, you add both check totals to the original balance, by lining up the numbers and adding down the line. This will be the total deposit:
435.62
+ 65.98
=
$501.6
$501.6 is the total deposit. To find the total checking balance, add the total deposit to $523.45.
523.45
+501.6
=
1025.05
This is her total balance before Aisha receives $40.
Next, you subtract what she wants to deposit, $40, since she is taking $40 out of her checking account.
1025.05
- 40.00
=
985.05
The total checking balance is $985.05
I need to find what LM is please help
The length of teh segment LM in the shape is 2 units
From the question, we have the following parameters that can be used in our computation:
The square
Given that
Diagonal = LN
And
LK = 1
Thel length LN ic alculated as
LN = 2 * LK
substitute the known values in the above equation, so, we have the following representation
LN = 2 * 1
Evaluate
LN = 2
Hence, the length is 2
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Graph the image of W(10,1) after a rotation 90° counterclockwise around the origin.
A graph of the image of W(10, 1) after a rotation 90° counterclockwise around the origin is shown in the image attached below.
What is a rotation?In Geometry, the rotation of a point 90° about the center (origin) in a counterclockwise (anticlockwise) direction would produce a point that has these coordinates (-y, x).
By applying a rotation of 90° counterclockwise around the origin to vertices W, the coordinates of the vertices of the image ΔA'B'C' are as follows:
(x, y) → (-y, x)
Ordered pair W = (10, 1) → Ordered pair W' = (-1, 10)
In this exercise, we would use an online graphing calculator to plot the image of W after a rotation of 90° counterclockwise around the origin.
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the ages of all employees at a small convenience store are 40, 30, 36, and 22. what is variance of ages for this population?
With employees ranging in age from 40 to 30, 36 to 22, there is a 46-year age difference between them. The average difference between each age and the population's mean age is measured.
We employ the following formula to determine the variance of a population:
σ² = Σ(x - μ)² / N
σ² = Σ(x - μ)² / N
where:
σ² = the population variance
Σ = the sum of
x = the value of each element in the population
μ = the population mean
N = the population size
First, we need to find the population mean:
μ = (40 + 30 + 36 + 22) / 4 = 32
Next, we calculate the sum of the squared deviations from the mean:
(40 - 32)² + (30 - 32)² + (36 - 32)² + (22 - 32)² = 64 + 4 + 16 + 100 = 184
Then, we divide the sum of squared deviations by the population size:
σ² = Σ(x - μ)² / N = 184 / 4 = 46
Therefore, the population variance is 46.
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Kathy wants to add 9/4 plus 2/8
ANSWER
[tex] \frac{9}{4} + \frac{2}{8} \\ \\ = \frac{9 + 2}{4} \\ \\ = \frac{11}{4} \\ \\ = 2.75[/tex]
hope it helps
What is the area of a parallelogram with a base of 20 feet and height of 15 feet?
Answer:
300feet²
Step-by-step explanation:
Calculate the area of a parallelogram
A=b×h(b=base,h=height)
b=20feet,h=15feet
A=20feet×15feet=300feet²
So the area is 300 feet²
consider the series where in this problem you must attempt to use the ratio test to decide whether the series convergespute enter the numerical value of the limit if it converges, inf if the limit for diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity. which of the following statements is true?a. the ratio test says that the series converges absolutely.b. the ratio test says that the series diverges.c. the ratio test says that the series converges conditionally.d. the ratio test is inconclusive, but the series converges absolutely by another test or tests.e. the ratio test is inconclusive, but the series diverges by another test or tests.f. the ratio test is inconclusive, but the series converges conditionally by another test or tests.enter the letter for your choice here: ?
The value of limit, [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex] < 1, for a series [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^{n+4} }{11^n}[/tex], then by ratio test says series is absolutely convergent. So, option(a) is true.
Ratio test is one of that is used to determine the convergence or divergence of infinite series. It states that [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
If L< 1, then ∑an converges absolutely.If L>1, or the limit goes to ∞, then ∑an diverges.If L=1 or if L does not exist, then we say the Ratio Test fails.We have a series, [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^{n+4} }{11^n}[/tex]. We have to check the convergence of above series with the help of ratio test. Here, [tex]a_n = \frac{ (6n + 7)8^{n+4} }{11^n}[/tex].
[tex]a_{n+1} = \frac{(6(n+1)+ 7)8^{n + 1+4 }}{11^{n+1}}[/tex]
[tex]= \frac{(6n+ 13)8^{n + 5}}{11^{n+1}}[/tex].
Now, [tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
[tex] = \lim_{n→∞} |\frac{\frac{(6n+ 13)8^{n + 5}}{11^{n+1}}}{\frac{(6n +7 )8^{n +4 }}{11^{n}}}|\\ [/tex]
[tex] = \lim_{n→∞} |\frac{(6n+ 13)8^{n + 5}}{11^{n+1}}×\frac{11^{n}}{(6n +7 )8^{n +4 }}|\\ [/tex]
[tex] = \frac{8}{11}\lim_{n→∞} |\frac{6n+ 13}{6n+7 }|\\ [/tex]
[tex] = \frac{8}{11}\lim_{n→∞} |\frac{n(6+ \frac{ 13}{n})}{n(6 +\frac{7}{n} )}|\\ [/tex]
[tex] = \frac{8}{11} = 0.72 [/tex] < 1
=> L < 1 , so, from ratio test ∑an converges absolutely. Hence, series is convergent.
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Complete question:
consider the series [tex] \sum_{n= 1}^{\infty}a_n \\ [/tex], where [tex]a_n = \frac{ ( 6n + 7)8^n }{11^n}[/tex]
in this problem you must attempt to use the ratio test to decide whether the series converges
compute
[tex]L = \lim_{n→∞} |\frac{ a_{n+1} }{a_n}| \\ [/tex]
enter the numerical value of the limit if it converges, inf if the limit for diverges to infinity, minf if it diverges to negative infinity, or div if it diverges but not to infinity or negative infinity.
which of the following statements is true?
a) the ratio test says that the series converges absolutely
.b) the ratio test says that the series diverges.
c) the ratio test says that the series converges conditionally.
d). the ratio test is inconclusive, but the series converges absolutely by another test or tests.
e) the ratio test is inconclusive, but the series diverges by another test or tests
.f) the ratio test is inconclusive, but the series converges conditionally by another test or tests.
enter the letter for your choice here: ?
A laptop has 2 year warranty. The moon lifespan of the laptop is 3.8 years, with a standart deviation of 0.58 years.
If a store sells 5000 laptops. How many of these players will fail before warranty expires?
Please someone help me
a report says that the average amount of time a 10-year-old american child spends playing outdoors per day is between 20.02 and 25.36 minutes. what is the margin of error in this report?
The actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
The margin of error in the report stating that a 10-year-old American child spends an average of 20.02 to 25.36 minutes playing outdoors per day can be calculated by subtracting the lower value from the higher value and dividing by 2. In this case, the margin of error is :
To find the margin of error, we need to calculate the halfway point between these two values.
(25.36 - 20.02) / 2 = 2.67
Therefore, the margin of error is approximately 2.67 minutes. This means that the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
Thus, the actual average time spent playing outdoors by 10-year-old American children could be 2.67 minutes higher or lower than the reported range of 20.02 to 25.36 minutes.
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the equation of a circle is (x-3)^2 + (y-2)^2 = 4. the circle is translated 2 units to the right and 4 units up and then is dilated by a factor of 3. what is the equation of the new circle
Answer:
The equation of the new circle will be x^2 - 10x + y^2 - 12y + 25 = 0.
Step-by-step explanation:
Write log(-5x) = 27 in exponential form.
Answer:
Hope this helps :)
Step-by-step explanation:
[tex]10^{27} =-5x[/tex]
Closely examine the 3 triangles and their vertices. You can hold a piece of paper to the screen and trace a triangle. You can click on the vertices to see their coordinates. Write at least 3 sentences that describe your observations.
The triangles given are congruent.
Given are three triangles, we need to state their properties.
So, as we can see that the triangles are following the reflection transformation,
The red triangle is being reflected to form green triangle and green is reflected to form blue triangle.
Since, the reflection transformation forms congruent figures hence the triangles are congruent.
Hence, the triangles given are congruent.
Learn more about reflection transformation, click;
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I NEED HELP FAST PLS
Step-by-step explanation:
to get a we use cos and for b we use sin
so
cos(45°) =a/5√2....... when u criss cross it
a = cos(45°) × 5√2
a = √2/2 × 5√2
a= 5
sin(45) = b/5√2
b= sin(45) × 5√2
b = 5
In other way if u find the 1st side you r indirectly find the 2nd one which they are equal .
