If function f(x) is even then so the graph of this function has a line symmetry about y-axis. So the option 3 is correct.
In the given question we have to check which statement is correct.
If f(x) is an even function, which statement about the graph of f(x) must be true.
The given statement are;
It has a rotational symmetry about the originIt has line symmetry about the line y=xIt has line symmetry about the y-axisIt has line symmetry about the x-axisAs we know that if function f(x) is even then so the graph of this function has a line symmetry about y-axis.
So the option 3 is correct.
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Salaries of entry-level computer engineers have Normal distribution with unknown mean and variance. Three randomly selected computer engineers have salaries (in $1000s): 30, 50, 70 (a) Construct a 90% confidence interval for the average salary of an entry-level computer engineer. 302 Probability and Statistics for Computer Scientists (b) Does this sample provide a significant evidence, at a 10% level of significance, that the average salary of all entry-level computer engineers is different from $80,000? Explain. (c) Looking at this sample, one may think that the starting salaries have a great deal of variability. Construct a 90% confidence interval for the standard deviation of entrylevel salaries.
a) The 90% confidence interval for the average salary of an entry-level computer engineer is of: (16.28, 83.72).
b) The sample contains the value 80, hence it does not give sufficient evidence that the average salary of all entry-level computer engineers is different from $80,000.
c) The 90% confidence interval for the standard deviation of entry level salaries is of: (6.67, 389.86).
What is the confidence interval for the population mean?The bounds of the confidence interval are given according to the following rule:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which the variables of the equation are presented as follows:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The sample in this problem is given as follows:
30, 50, 70.
Hence the values of the parameters are given as follows:
[tex]\overline{x} = 50, s = 20, n = 3[/tex]
The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 3 - 1 = 2 df, is t = 2.92.
Then the lower bound of the interval is of:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 50 - 2.92\frac{20}{\sqrt{3}} = 16.28[/tex]
The upper bound of the interval is of:
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 50 + 2.92\frac{20}{\sqrt{3}} = 83.72[/tex]
What is the confidence interval for the standard deviation?The bounds of the confidence interval for the standard deviation are given as follows:
[tex]\frac{(n - 1)s^2}{\chi^2_\frac{\alpha}{2}} \leq \sigma \leq \frac{(n - 1)s^2}{\chi^2_{1 - \frac{\alpha}{2}}}[/tex]
The critical values of the chi-square distribution with a confidence level of 90% and 2 df are given as follows:
[tex]\chi^2 = 0.1026, \chi^2 = 5.9915[/tex]
Hence the lower bound of the interval is of:
2 x 20/5.9915 = 6.67.
The upper bound of the interval is of:
2 x 20/0.1026 = 389.86.
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there are a total of 55 bags, 35 of them are empty and 20 of them are brand new what is the ratio of the empty bags to the total bags?
The ratio of the empty bags to the total bags is found as 7/11.
What is meant by the term ratio?When two objects are related using numbers or amounts, the relationship is termed as a ratio.The antecedent as well as the consequent are the terms that make up a ratio. The denominator is the consequent, and the numerator is the antecedent.Ratios contrast two figures by ordinarily dividing them. A/B would be your formula if you were comparing one data item (A) to another data set (B). This indicates that you are multiplying data A by data B. For instance, your ratio will just be 5/10 if A is 5 and B is 10.As the stated question-
Total bags = 55
Empty bags = 35
Brand new nags = 20
Ratio = Empty bags/ Total bags
Ratio = 35/55
Ratio = 7/11
Thus, the ratio of the empty bags to the total bags is found as 7/11.
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after running which of the following code segments would the robot end up in the same place facing the same direction as after running the code segment below?
The solution for the code is can be followed by breaking the loop twice.
Given,
After running which of the following code segments would the robot end up in the same place facing the same direction as after running the code segment below;
Below is the trace that robot takes ,
| - <---
|
---> |
This means it moves forward twice and rotate left and this repeat for 3 times.
Same steps can be followed by breaking the loop twice which is being done by,
REPEAT 2 TIMES
{
MOVE_FORWARD ( )
}
ROTATE_LEFT ( )
REPEAT 2 TIMES
{
MOVE_FORWARD ( )
}
ROTATE_LEFT ( )
REPEAT 2 TIMES
{
MOVE_FORWARD ( )
}
ROTATE_LEFT ( )
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Use identities to find values of the sine and cosine functions for the angle measure.
θ, given that \cos 2\theta=\dfrac{28}{53}cos2θ= 53
28
and 0°\lt \theta\lt 90°0°<θ<90°
sin θ = ___
Sinθ = ±5/[tex]\sqrt{106}[/tex]
Given in the Question:
[tex]\cos 2\theta=\dfrac{28}{53}[/tex]
Trigonometric Identity for
Cos2θ = Cos²θ-Sin²θ -(i)
Sin²θ+ Cos²θ=1 -(ii)
Then Sin²θ=1-Cos²θ
Replacing Sin²θ with 1-Cos²θ in equation (i)
Then
Cos2θ= Cos²θ -(1-Cos²θ )
Cos2θ= Cos²θ - 1 + Cos²θ
Cos2θ= 2Cos²θ - 1
Putting values
28/53= 2Cos²θ-1
28/53+1=2Cos²θ
28+53/53=2Cos²θ
81/52=2Cos²θ
81/53 X 1/2 =Cos²θ
81/106 =Cos²θ
Then Cosθ=[tex]\sqrt{\frac{81}{106} }[/tex]
Where,
81 = 9X9 =9²
106 = 53X2
Cosθ= ±9/[tex]\sqrt{106}[/tex]
From the identity (ii)
Sin²θ + Cos²θ=1
Putting value
Sin²θ+ 81/106=1
Sin²θ = 1- 81/106
Sin²θ = 106 - 81/53
Sin²θ = 25/106
Then Sinθ = [tex]\sqrt{\frac{25}{106}}[/tex]
Since 25 = 5X5 = 5²
Sinθ = ±5/[tex]\sqrt{106}[/tex]
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Consider this equation. if is an angle in quadrant iv, what is the value of ? a. b. c. d.
Option (a) is correct. The value of sinθ will be [tex]-\frac{5\sqrt{41} }{41}[/tex]
We are given the value of the cosθ = [tex]\frac{4\sqrt{41} }{41}[/tex] where, θ is in the IV Quadrant.
We know that cosine is the ratio of the adjacent side to the hypotenuse. Also, we have
hypotenuse = h = 41, And Adjacent Side = b = [tex]4\sqrt{41}[/tex]
So, for the value of the opposite side, we need to use the Pythagorean theorem which is stated as:[tex](Hypotenuse)^{2} = (opposite side)^{2} + (adjacentside)^{2}[/tex]
[tex]h^{2} = a^{2} + b^{2}[/tex]
[tex]a^{2} = h^{2} - b^{2}[/tex]
a = [tex]\sqrt{41^{2} -(4\sqrt{41})^{2} }[/tex] = [tex]\sqrt{1681 - 656 }[/tex] = [tex]\sqrt{1025}[/tex] = [tex]5\sqrt{41}[/tex]
The opposite side is [tex]5\sqrt{41}[/tex] , as sine is negative (-) in the IV quadrant so the value will be [tex]-5\sqrt{41}[/tex].
So we know that Sine is the ratio of the Opposite side to the hypotenuse, which can be written as:
sineθ = [tex]\frac{Opposite}{Hypotenuse}[/tex]
sineθ = [tex]-\frac{5\sqrt{41} }{41}[/tex]
So, option (a) will be the right option.
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Your Question is incomplete, but most probably your full question was
Consider this equation. cosθ = [tex]\frac{4\sqrt{41} }{41}[/tex] if θ is an angle in quadrant IV, what is the value of sinθ?
(a) [tex]-\frac{5\sqrt{41} }{41}[/tex]
(b) [tex]\frac{5\sqrt{41} }{41}[/tex]
(c) [tex]-\frac{5}{4}[/tex]
(d) [tex]\frac{5}{4}[/tex]
Answer: c
Step-by-step explanation:
Please help me with this problem!
Answer:
van can carry 15 people
Bus can carry 30 people
Step-by-step explanation:
we can make a system of equation for these 2 schools
15v+16b=705
8v+6b=300
isolate a variable
8v+6b=300
-8v. -8v
6b=300-8v
/6. /6. /6
b=50-8/6v
Now substitute
15v+16(50-8/6v)=705
15v+800-21 1/3v=705
-6 1/3v+800=705
-800. -800
-6 1/3v=-95
/19/3. /-19/3
v=-95*3/-19
v=-285/-19
v=15
Now fill in v to find b
8(15)+6b=300
120+6b=300
-120. -1#0
6b=180
/6. /6
b=30
Hopes this helps please mark brainliest
1. Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) g(t) = |4t − 5| 2.
2.Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) h(t) = t3/4 − 3t1/4 3.
3.Find the critical numbers of the function. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) f(x) = x5e−8x 4.
4.Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 6x3 − 27x2 − 72x + 1, [−2, 5]
2. Critical numbers of a function h(t) = t^(3/4) - 3t^(1/4) are (1/16 , -1/16).
A number is critical if it makes the derivative of the expression equal 0.
Critical numbers are values of a function where the function's tangent lines are either horizontal or vertical.
Given function is,
h(t) = t^(3/4) - 3t(1/4)
We have to find critical points.
For this we will take derivative and set it with 0
Therefore
h'(t) = (3/4)t^(-1/4) - 3(1/4)t^(-3/4) = 0
3/4[t^(1/4)] = 3/4[t^(3/4)]
4t^(3/4) = t^(1/4)
4 = 1/√t
t = 1/16 and t= -1/16.
Therefore critical points are (1/16 , -1/16).
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3x + 3 = 3(x + 1)
Does this have infinite solutions?
Answer:
Yes, it has infinite solutions
Step-by-step explanation:
3 ( x + 1 )
= 3 ( x ) + 3 ( 1 )
= 3x + 3
3x + 3 = 3x + 3
Any number can substituted for x.
Answer: Yes
Step-by-step explanation: First, distribute 3(x+1), which is 3x+3. Then we have 3x+3=3x+3, which is the same thing.
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g what is a point estimate for the difference in average sales between the two package designs and what does the point estimate mean?
A point estimate is a single approxmate value of some parameters.
A point estimate for difference in average means is the difference between the sample means .
Point estimator :
In statistics, point estimation uses sample data to compute a single value, called a point estimate, to identify a point in a given parameter space.
Estimator Properties:
UnbiasedConsistencyEfficiencySufficiencyPoint Estimate of Difference in Average Sales:
Point Estimate of Population Mean The calculation is the sum of all samples divided by the number of values .
Suppose we want to compare the means of two different populations . Each population has a mean and a standard deviation. Take a random sample from Population1 and label the resulting sample statistic with Index1 . Draw a sample from population2 and label its sample statistic with index 2, without reference to the first sample.
It is denoted by " μ1-μ2 " .
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learn to be grateful for what you already have, while you pursue all that you want. what do you think about this? please answer
I think that this is a great phrase! I defiently agree that we should all be thankful for what we have and because atleast we have somthing rather than us having nothing.
Answer:Yes I agree you should be grateful.
Step-by-step explanation:You should be grateful and thankful for what you have. Never be ungrateful.
A dot plot titled Number of Hours Spent on Homework goes from 1 to 6. There is 1 dot above 1, 5 dots above 2, 6 dots above 3, 4 dots above 4, 1 dot above 5, and 1 dot above 6.
What is a dot plot and how do you read it?
Check all that apply.
A dot plot is a simple plot that displays data values as dots above a number
line.
Dot plots show the frequency with which a specific item appears in a data set.
3 students spent 4 hours on homework.
5 students spent 2 hours on homework.
Dot plots show the distribution of the data.
Students spent 1 to 6 hours on homework
All the correct options that apply to the given dot plot are;
A dot plot is a simple plot that displays data values as dots above a number line.
5 students spent 2 hours on homework.
Dot plots show the distribution of the data.
How to Interpret Dot Plots?A dot plot is defined as a simple plot that displays data values as dots above a number line. Dot plots show the frequency with which a specific item appears in a data set and also shows the distribution of the data.
From the given dot plot, we can interpret the following parameters;
Number of students that spent 1 hour on homework = 1 person
Number of students that spent 2 hours on homework = 5 persons
Number of students that spent 3 hours on homework = 6 persons
Number of students that spent 4 hours on homework = 4 persons
Number of students that spent 5 hours on homework = 1 person
Number of students that spent 6 hours on homework = 1 person
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Mazie supply company uses the percent of accounts receivable method. On december 31, it has outstanding accounts receivable of $55,000, and it estimates that 2% will be uncollectible. Prepare the year-end adjusting entry to record bad debts expense under the assumption that the allowance for doubtful accounts has: (a) a $415 credit balance before the adjustment. (b) a $291 debit balance before the adjustment.
Assuming that the provision for doubtful accounts has been recorded, the year-end adjusting statement to record bad debts expenditure
Define the term doubtful accounts?A receivable that may eventually turn into a bad debt is known as a questionable account or doubtful debt. Establishing a provision for doubtful accounts is crucial for your income statement if consumers make purchases on credit.1. The $415 will be subtracted since allowance for dubious debts has a credit balance.
Bad debt expenses = (Outstanding accounts receivable × Uncollectible rate) - Credit balance
Bad debt expenses = (2% × $55,000) - $415
Bad debt expenses = $1,100 - $415
Bad debt expenses = $685
The journal entries are -
Date Particulars Debit Credit
Bad debt expense A/c $685
Allowance (Doubtful Accounts) $685
As Bad debt expenses are the, bad debt expense plotted.
2. There is a debit balance in the allowance for dubious debts, thus $291 will be added.
Bad debt expenses = (Outstanding accounts receivable × Uncollectible rate) + Debit balance
Bad debt expenses = (2% × $55,000) + $291
Bad debt expenses = $1,100 - (-$291)
Bad debt expenses = $1,391
The journal entries are -
Date Particulars Debit Credit
Bad debt expense A/c $1,391
Allowance (Doubtful Accounts) $1,391
As Bad debt expenses are the, bad debt expense plotted.
Thus, assuming that the provision for doubtful accounts has been recorded, the year-end adjusting statement to record bad debts expenditure.
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Determine a series of transformations that would map polygon ABCD onto polygon A'B'C'D'?
The transformations that would map the polygon ABCD onto polygon A'B'C'D' is
dilation followed by a translation
How to determine the transformationsThe original coordinate of the polygon, from the graph using a position as an instance
A (1. -1)
There was a dilation with a scale factor of 2, transformation rule for dilation is
(x, y) for a scale factor of r → (rx, ry)
followed by a translation three units down, the transformation rule for translation 3 units down is
(x, y) → (x, y - 3)
following similar procedure for the given problem we have
preimage image (dilation) image (translation)
A (1, -1) → (1 * 2, -1 * 2) → A' (2, -2) → (2, -2 - 3) → A'' (2, -5)
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What is the difference between an angle that measures 5r/3 radians and an angle that measures 5/3 radians?
The difference between an angle that measures 5π/3 radians and an angle that measures 5/3 radians is 204.51 degrees
How to find the difference in the angle measuresAn angle measure of 5π/3 radians is converted to degree using the proportion
angle in degrees, d / 180 = angle in radian / π
d / 180 = 5π/3 / π
d = 180 * 5/3
d = 300
For 5/3 radians
d / 180 = 5/3 / π
d = 180 * 5/3π
d = 95.49
The difference
= 300 - 95.49
= 204.51 degrees
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Health insurers are beginning to offer telemedicine services online that replace the common office visit. A company provides a video service that allows subscribers to connect with a physician online and receive prescribed treatments. The company claims that users of its online service saved a significant amount of money on a typical visit. The data shown below ($), for a sample of 20 online doctor visits, are consistent with the savings per visit reported by the company. 82 24 30 95 73 45 46 39 30 66 38 86 83 64 63 68 83 90 43 72 Assuming the population is roughly symmetric, construct a 95% confidence interval for the mean savings in dollars for a televisit to the doctor as opposed to an office visit. (Round your answers to the nearest cent.) $ to $
(50.56; 71.44) constructed a 95% confidence interval for the mean savings in dollars for bringing a television to the doctor instead of making an office visit because the population is roughly symmetric.
Using these data, we can use the following formulas to determine the mean and deviation:
the sample mean, represented by the X at 61, is
Mean population for μ (variable of interest)
the sample standard deviation is s=65.89.
The sample size is n = 20
The formula provides the mean's confidence interval We must first determine the degrees of freedom, given by: in order to calculate the critical value tα.
Now that everything is in place, we can replace formula (1) as follows:
61 – 2.09*65.89/root of 20 = 61 – 10.44 = 50.56
61 + 2.09*65.89/root of 20 = 61 + 10.44 = 71.44
The 95% confidence interval in this instance would therefore be provided by (50.56;71.44)
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What is the intermediate step in the form ( x + a ) 2 = b (x+a) 2 =b as a result of completing the square for the following equation?.
The intermediate step in the form ( x + a ) ^2 = b (x+a) 2 =b as a result of completing the square of x² - 4x = 45 is (x- 2)² = 49
How to determine the intermediate step?
The equation is given as:
x² - 4x = 45
Take the coefficient of x
k = -4
Divide by 2
k/2 = -2
Square both sides
(k/2)^2 = 4
Add 4 to both sides of x² - 4x = 45
x² - 4x + 4= 45 + 4
This gives
x² - 4x + 4= 49
Express as perfect square
(x- 2)² = 49
Hence, the intermediate step of x² - 4x = 45 is (x- 2)² = 49
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Identify the factor and levels in the following scenario: The Hyppo (a gourmet ice pop store) is trying to test out new dip flavors in which customers can dip their popsicles (strawberry, orange, and banana). All of the popsicles are made the same, utilizing the same simple chocolate flavoring for experimental purposes, but the dips are randomly applied. Twenty regular customers are given the popsicles with the dips on them in a random order, and are asked to rate them from 1-3.
Group of answer choices
Factor = dip flavor. Levels = ratings 1-3
Factor = strawberry, orange, and banana. Levels = dip flavor
Factor = the hyppo location. Levels = 20 regular customers
Factor = dip flavor. Levels = strawberry, orange, and banana
The factor and levels in the scenario is,
Factor = dip flavor. Levels = strawberry, orange, and banana.
What is popsicles?
A frozen treat on a stick made of liquid is known as an ice pop. An ice pop is "quiescently" frozen, or frozen when at rest, and turns into a solid block of ice, unlike ice cream or sorbet, which are churned while freezing to prevent ice crystal formation. It is held by the stick, which serves as a handle.
There is only one factor (independent variable) involved in above case, i.e. dip flavor is only factor mentioned in given case.
We can see that dip flavor has three categories or levels, i.e. strawberry, orange, and banana
Therefore, we have
factor = dip flavor and levels = strawberry, orange, and banana.
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There is a line through the origin that divides the region bounded by the parabola and the x-axis into two regions with equal area. What is the slope of that line?.
Using the slope line formula,
The slope of line y = mx is 1.0315.
We have given that,
parabola equation is y = 5x - 3x²
line passing through origin is in the form of y = mx
==> mx = 5x - 3x²
==> 3x²+ mx - 5x = 0
==> 3x² + x(m -5) = 0
==> x(3x + (m -5)) = 0
==> x = 0 , x = (5 -m)/3
The total area of the bounded region is then the integral of 5x - 3x² from x = 0 to x = (5-m)/3
Area under y = 5x - 3x2 and y = mx is (125/54)/2 = 125/108
==> [0 to (5 -m)/3] ∫(5x - 3x²-mx )dx = 125/108
==> [0 to (5 -m)/3]∫( (5 - m)x - 3x2 )dx = 125/108
==> [0 to (5 -m)/3] ((5 - m)x²/2 - x³ )= 125/108
==> (5 - m)[(5 -m)/3]²/2 - ((5 -m)/3)³ = 125/108
==> (5 -m)³/18 - (5 -m)³/27 = 125/108
==> (5 -m)³/54 = 125/108
==> (5 -m)³ = 125/2
==> (5 -m) = 3.9685
==> m = 5 - 3.9685
==> m = 1.0315
Hence slope of line = 1.0315
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find the probability if three dice are rolled. (enter the value of probability in decimals. round the answer to three decimal places.)
The probability that it appears five times exactly is 0.3472, or 34.72%.
Explain the term binomial distribution?There are just two results for each die that is rolled: anyway it comes up 5 or it doesn't. Using binomial distribution is employed to answer this question since the likelihood that a die would land on a 5 is independent of all other dice.Binomial distribution of probabilities;
P(X = x) = C(n,x).pˣ.(1 - p)ⁿ⁻ˣ
C(n,x) = n1/ x1(n - x)!
The variables are:
The number of victories is x.Its number of trials is n.P represents the likelihood that a trial will be successful.In this issue:
Three dices are made, hence n is equal to 3.
Since one of its six sides is a five, therefore, p = 1/6 = 0.1167.
P(X = 1) is the chance that the number five appears exactly once, so;
P(X = x) = C(n,x).pˣ.(1 - p)ⁿ⁻ˣ
P(X = 1) = C(3,1).0.1167¹.(0.8333)³
P(X = 1) = 0.3472
Thus, the probability that it appears five times exactly is 0.3472, or 34.72%.
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compared to the distance between earth and mars, the distance between jupiter and saturn is .
Compared to the distance between Earth and Mars, the distance between Jupiter and Saturn is much larger. (Option B)
Planetary distance is the measure of distance between two planets which vary based on the placement of the planet in an orbit. An orbit is the path where planets revolve around the Sun in the solar system. The planets’ orbits form an elliptical shape. To measure the distance between two planets in the solar system an astronomical measure used is astronomical unit (AU). An Astronomical Unit (AU) is the average distance between Earth and the Sun and is used to measure distances within our solar system. The distance between Mars from Earth is equivalent to 0.52 AU while the distance between Jupiter and Saturn is 4.32 AU. Hence, compared to the distance between Earth and Mars, the distance between Jupiter and Saturn is much larger.
Note: The question is incomplete as it is missing options which are a) much smaller b) much larger c) about the same d) just slightly less.
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 Simplify 355/1000.
Answer: [tex]\frac{71}{200}[/tex]
Step-by-step explanation: All you have to do is divide both numbers by 5.
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Answer:
71/200
Step-by-step explanation:
The gcf of 355 and 1000 is 5
divide each side by 5
you get 71/200
suppose the bottom surface, or base, of a cylinder is divided into 16 congruent sectors. then the sectors are rearranged as shown. open this geogebra activity to divide the circle into even more sectors and rearrange the sectors for yourself. complete the statements to compare the areas of the two figures and find the area of the base of the cylinder. select the correct answer from each drop-down menu. when the sectors of the circle are rearranged, they are close to forming a with a length of units and a width of r units. the area of the rearranged figure is to that of the circle. so, the area of the circular base square units.
Answers to be filled are rectangle, [tex]2\pi[/tex] , equal, [tex]2\pi r^2[/tex].
Given,
In the question:
Suppose the bottom surface, or base, of a cylinder is divided into 16 congruent sectors. then the sectors are rearranged as shown.
Open this GeoGebra activity to divide the circle into even more sectors and rearrange the sectors for yourself.
To complete the statement to compare the areas of the two figures and find the area of the base of the cylinder.
Now, According to the question:
To complete the statements
A circle of radius 'r' and rearranged figure out of sectors of the same circle.
When the sectors of the circle are rearranged , they are close to forming a rectangle with a length of 2[tex]\pi[/tex]r units and a width of r units.
The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2[tex]\pi r^2[/tex] sq. units
Hence, Answers to be filled are rectangle, [tex]2\pi[/tex] , equal, [tex]2\pi r^2[/tex].
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When the sectors of the circle are rearranged, they are close to forming a
rectangle with a length of 2*pi*r units and a width of r units. The area of the rearranged figure is equal to that of the circle. So, the area of the circular base 2*pi*r square units.
When an integer is subtracted from 5 times the next consecutive odd integer, the difference is 38. Find the value of the greater integer
The value of the greater integer is 9
What is an integer?An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero
From the question, we were told that;
An integer is subtracted from 5 times the next consecutive odd integer, the difference is 38
Represent the integer with x
So, we have the following representation
x is subtracted from 5 times the (x + 2), the difference is 38
When represented as an equation, we have
5(x + 2) -x = 38
Open the brackets
5x + 10 - x = 38
Evaluating the like terms
4x = 28
Divide both sides of the equation by 4
x = 7
The next odd integer is x + 2
So, we have x + 2 = 7 + 2
Evaluating x + 2 = 9
Hence, the solution is 9
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services, such as a haircut or a doctor visit, follow a(n) blank marketing channel because services are generally produced and consumed at the same time.
Services are usually produced and consumed at the same time, so they follow empty marketing channels such as haircuts and doctor visits.
What is commercial banking?Business-oriented offerings like deposit accounts, lines of credit, merchant services, payment processing, commercial loans, global trade services, treasury services, and other business-focused options are the main focus of commercial banking.Compared to the typical retail bank, which is built for individual account holders and some small enterprises, commercial banks serve substantially bigger customer bases.The big loans, lines of credit, and deposit account requirements of businesses are catered for by these institutions. Retail banks are frequently just outposts of these bigger organizations.Corporate banking divisions of commercial banks are able to assist both large and small firms, as well as invest in them.Additionally acting as retail banks, they may also work with individual customers.Hence, Services are usually produced and consumed at the same time, so they follow empty marketing channels such as haircuts and doctor visits.
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What is the mean deviation method?.
The step-by-step method of mean deviation given below.
What is the mean deviation method?
When calculating the average departure from the mean value of a particular data set, statisticians employ a measure known as the mean deviation. Following the steps below will make it simple to determine the mean deviation of the data values.
In statistics, the term "deviation" refers to the discrepancy between the observed value of a data point and its expected value. As a result, mean deviation, also known as mean absolute deviation, is the typical departure of a data point from the mean, median, or mode of the data collection.
MAD = (∑ f1 |xi - x⁻|) / ∑ f1
fi is the frequency of repetition xi, xi of denotes the mid-value of the class interval.
Example, Say your data set is: 9, 2, 5, 4, 12, 7, 8, 11, 9, 3, 7, 4, 12, 5, 4, 10, 9, 6, 9, 4.
The Mean is: 9 + 2 + 5 + 4 + 12 + 7 + 8 + 11 + 9 + 3 + 7 + 4 + 12 + 5 + 4 + 10+ 9 + 6 + 9 + 4. Over 20. That equals 104 over 20 = 7.
Statistics refers to deviation as the difference between the observed value of a data point and the expected value. The average deviation of a data point from the mean, median, or mode of the data collection is known as the mean deviation, sometimes known as the mean absolute deviation. Mean deviation is indicated by the acronym MAD.
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Use the given data to find the equation of the regression line. Examine the scatterplot and identify a characteristic of the data that is ignored by the regression line. X y 11 7.31 9 6.56 12 13.36 10 12 7.197.64 14 9.22 5 6.33 4 5.54 13 8.52 8 6.11 5 5.91 Create a scatterplot of the data. Choose the correct graph below. OA OB. OC. O O .............. Lullulilu 5 :50 O CODOO 5f0 OTT 0 5 10 15 20 25 OTT 0 5 10 15 20 25 0 5 10 15 20 25 0 5 10 15 20 25 Find the equation of the regression line. ŷ = + x (Round the constant two decimal places as needed. Round the coefficient to three decimal places as needed.) Identify a characteristic of the data that is ignored by the regression line. O A. The data has a pattern that is not a straight line. OB. There is no trend in the data. OC. There is an influential point that strongly affects the graph of the regression line. OD. There is no characteristic of the data that is ignored by the regression line.
The equation of the regression line is y = 0.430x + 3.59.
A characteristic of the data that is ignored by the regression line is that: A. The data has a pattern that is not a straight line.
How to find an equation of the regression line?In order to determine a linear equation for the regression line (trend line) that models the data points contained in the table, we would have to use a graphing calculator (scatterplot).
In this scenario, the x-values would be plotted on the x-axis of the scatterplot while the y-values would be plotted on the y-axis of the scatterplot.
On the Excel worksheet, you should right click on any of the data point on the scatterplot, select format trend line, and then tick the box to display an equation for the regression line (trend line) on the scatter plot.
By critically observing the scatterplot (see attachment) which models the relationship between the x-values and y-values, a linear equation for the regression line (trend line) is given by:
y = 0.430x + 3.59
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Question 9 (2 points)
Evaluate the function f(x), if f(x) = 4x - 2, what is the value of f(3)?
Enter your answer in the box below.
f(3) =
If the function be f(x) = 4x - 2 then the value of f(3) exists 10.
What is meant by function?An expression, rule, or law that establishes a connection between an independent variable and a dependent variable.
In mathematics, a variable is referred to as the alphabetic symbol used to represent a number or numerical value. An unknown quantity is represented by a variable in algebraic equations.
In mathematics, a function is a relationship where the values of one or more independent variables determine the values of a single dependent variable. The term "function" denotes that the independent variable influences the dependent variable.
Let the function be f(x) = 4x - 2
substitute the value of x = 3, then
f(3) = 4 × 3 - 2
simplifying the above equation, we get
f(3) = 10
Therefore, the value of f(3) exists 10.
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let h be a subgroup of g. and suppose h is the only subgroup of g of order(h). show that h is normal in g
To prove that h be a subgroup of g. and suppose h is the only subgroup of g of order(h) h is normal in g is that it is proven by homomorphism .
This is a small contribution, however in reaction to a remark above, you may additionally clear up this with out the use of any homomorphism properties. Assume the subgroup H has order n and select out g∈g. Then, for any [tex]h∈H: = (ghg^-1)^n ghg^-1.ghg^1/n time.\\= gh^n g^-1 = geg ^-1 = geg ^-1 = gg ^-1 = e[/tex]
Since H has order n. The above holds for all h∈H, so the subgroup gHg−1 has order n, so it's miles identical to H through assumption. Then each h∈H has a few h∈H such that ghg−1=h′, implying gh=h′g, so gH=H
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An investigator wishes to determine whether alcohol consumption causes a deterioration in the performance of automobile drivers. Before the driving test, subjects drink a glass of orange juice, which, in the case of the treatment group, is laced with two ounces of vodka. Performance is measured by the number of errors made on a driving simulator. A total of 120 volunteer subjects are randomly assigned, in equal numbers, to the two groups. For subjects in the treatment group, the mean number of errors (X1¯) equals_26.4, and for subjects in the control group, the mean number of errors (X2¯) equals 18.6. The estimated standard error equals 2.4.(a) Use t to test the null hypothesis at the .05 level of significance.(b) Specify the p-value for this test result.(c) If appropriate, construct a 95 percent confidence interval for the true population mean difference and interpret this interval.(d) If the test result is statistically significant, use Cohen's d to estimate the effect size, given that the standard deviation, sp, equals 13.15.(e) State how these test results might be reported in the literature, given s1, = 13.99 and s2, = 12.15.
To answer this question where An investigator wishes to determine whether alcohol consumption we need to know the sample sizes for each group and the standard deviation for each group.
What is standard deviation?The spread or dispersion of a set of data values is measured by standard deviation. It is calculated as the square root of variance, which is the average of the squared deviations from the mean. In other words, it is a measurement of how widely apart a group of numbers are from one another. A low standard deviation implies that the data are closely grouped around the mean, whereas a large standard deviation suggests that the data are more scattered or spread out. outliers or anomalies in a dataset and to estimate the degree of variation or uncertainty in a population. It is a helpful tool for comparing and measuring.
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If you are solving this problem, which list or table is the best way to organize the given information? sydney is buying fruit. Strawberries are priced at $1. 68 per pound, and raspberries are priced at $2. 98 per pound. If she selects 8. 4 pounds of strawberries and 1. 8 pounds of raspberries, how much will she spend on the fruit?.
Sydney will spend $19.48 on fruit.
Price of strawberries = $1.68 per pound
Price of raspberries = $2.98 per pound
Sydney wants to buy 8.4 pounds of strawberries and 1.8 pounds of raspberries.
Therefore,
Price of 8.4 pounds strawberries = 8.4*Price per pound
Price of 8.4 pounds strawberries = 8.4*1.68 = $14.112
Price of 1.8 pounds raspberries = 1.8*price per pound
Price of 1.8 pounds raspberries = 1.8*2.98 = $5.364
Total spent on fruit = Price of 8.4 pounds strawberries + Price of 1.8 pounds raspberries
Total spent on fruit = $14.112 + 5.364 = 19.48
Rounding off to nearest hundredth;
Total spent on fruit = $19.48
Therefore, Sydney will spend $19.48 on fruit.
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