Answers
Answer:
Domain = { -2 , 0 , 2 , 4 }
Range = { 3 }
Step-by-step explanation:
Domain is the x-values that the Function have and Range is the y-values that the Function have corresponding to these x-values
Since the x-values for the Function attached are -2 , 0 , 2 , 4
and the y-values for the Function is 3
Then the Domain = { -2 , 0 , 2 , 4 }
and the Range = { 3 }
Glad to Help
Related Questions
a polling organization took a random sample of 1600 high school students to determine how many high school students have a part-time job. suppose 43% of all high school students have a part itme job. if the total population of high shool students is 15 million, is the 10% condition met? justify your answer
Answers
Based on this if we find the 10% of the population we have:
15000000 × 0.1 = 1500000 And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
For this case we have the following data given:
n = 1600 represent the sample size select.
dp = 0.43, which, represent the estimated proportion of high school students that have a part time job
N= 15000000 represent the total population size
And we want to check if the 10% condition is satisfied. So we can use the following definitions for the 10% condition: “We need to have Bernoulli trials must be independent.
If that assumption is not satisfied, it is still okay to proceed if we have that the sample is smaller than 10% of the population.”"One of the conditions to be checked before using the normal model for sample proportions is, “The sample size, n, must be no larger than 10% of the population.
”So based on this if we find the 10% of the population we have:
15000000 × 0.1 = 1500000
And we see that our sample 1600 & lt;
1500000 and we satisfy the 10% condition.
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Given that f(x)=-5x+9/2 and g(x)=1.5x^2-8
Answers
The value of g(-2) is -2, f(4) is -15.5, f(1/4) is 3.25, g(2.5) is 1.375, the value of x when f(x) = 2 is 0.5 and the value of x when g(x) = 16 is (plus minus)4.
According to the question,
We have the following expressions:
f(x) = -5x+9/2
Now, we will find the all the values of f(x) by replacing x with the given digits:
f(4) = -5*4+4.5
f(4) = -20+4.5
f(4) = -15.5
The value of f(1/4):
f(1/4) = -5/4+4.5
f(1/4) = -1.25+4.5
f(1/4) = 1.375
The value of x when f(x) = 2:
-5x+4.5 = 2
-5x = 2-4.5
-5x = -2.5
x = 2.5/5
x = 0.5
g(x) = 1.5[tex]x^{2}[/tex]-8
Now, we will find all the values of g(x) by replacing x with the given digits.
The value of g(-2):
g(-2) = 1.5(-2)(-2)-8
g(-2) = 6-8
g(-2) = -2
The value of g(2.5):
g(2.5) = 1.5*2.5*2.5-8
g(2.5) = 9.375-8
g(2.5) = 1.375
The value of x when g(x) = 16:
1.5[tex]x^{2}[/tex]-8 = 16
1.5[tex]x^{2}[/tex] = 16+8
1.5[tex]x^{2}[/tex] = 24
[tex]x^{2}[/tex] = 24/1.5
[tex]x^{2}[/tex] = 16
x = +4 and -4
Hence, the value of g(-2) is -2, f(4) is -15.5, f(1/4) is 3.25, g(2.5) is 1.375, the value of x when f(x) = 2 is 0.5 and the value of x when g(x) = 16 is (plus minus)4.
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SOLVE FOR X Help please
Answers
Answer:
x = 20
Step-by-step explanation:
Comment
If you follow the angles down, you discover 2 things
There are only 2 answers
One is the supplement of the other.
In this case, both angles can be shown to be the same. The process is accomplished by two vertically opposite angles and 2 supplements. I can't show you how this is done because there are no letters on the lines.
It turns out that 3x + 10 = 4x - 10
Solution
3x + 10 = 4x - 10 Add 10 to both sides
3x + 10 + 10 = 4x - 10 + 10 Combine
3x + 20 = 4x Subtract 3x from both sides.
3x-3x + 20 = 4x-3x Combine
20 = x
11 student are in a waitlist for a course. two of the students in the list are named ed and ned. how many different ways are there for the students to be ordered in the list so that ed is higher in the list than ned?
Answers
The different ways that are there for the students to be ordered in the list so that Ed is higher on the list than Ned is 19,958,400
In the order, if Ned comes first on the list then Ed will not be on the list before Ned. (remember for Ed to be higher than Ned on the list, it should come after Ned on the list).
So if Ned is first on the list, then all the remaining (including Ed) can occur anywhere in the remaining list. Hence the total permutations will be 10!
Ned's corresponding choices: 1 109 8 7 6 5 4 3 -2 1
If Ned comes in the second position, then Ed can't come in the first position. Hence in the first position, there are only 9 choices.
*(excluding Ed) Ned * corresponding choices:
= 9*9!
*(including Ed (including Ed) Ned corresponding choices: *k
= 9*8*8!
Total combinations will be:
10! + 9*9! + 9*8*8! + 9*8*7*7! + 9*8*7*6*6! + 9*8*7*6*5*5! + 9*8*7*6*5*4*4! + 9*8*7*6*5*4*3*3! +9*8*7*6*5*4*3*2*2! + 9*8*7*6*5*4*3*2*1*1! .
= 19,958,400
We can directly compute it. Since there will be a total of 11! combinations in which 11!/2 times Ed comes after Ned and 11!/2 times Ed comes before Ned.
and 11!/2 = 39,916,800/2 = 19,958,400
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If was asked to think of a number and multiply it by 2, could
write this algebraically as 2x.
Write the following algebraically, using x as your unknown.
"I think of a number, multiply it by 5 and subtract 3 from the result."
Answers
The algebraic expression of the mentioned statement will be 5x-3.
According to the question,
An unknown number is thought of, multiplied by 5, and then subtracted by 3 from the result.
Let the unknown number be taken as x.
If we have to write the statement mathematically by taking x as a variable, the algebraic expression will be,
x* (5), which is equal to 5x, (by taking the variable x and multiplying it with 5).
For the second step, the expression will be 5x -3, (by subtracting 3 from the previous result, that is, 5x).
Hence, algebraically the final statement will be 5x -3.
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67,107 rounded to the nearest ten-thousand
Answers
Answer:
70,000
Step-by-step explanation:
Round up if the next digit is higher than or equal to 5.
edit: accidentally answered twice
Answer:
70,000
Step-by-step explanation:
Round up if the next digit is higher than or equal to 5.
Which function represents the i shown in the graph below
A. G(x)=-x+2
B. G(x)=2^x-1
C. G(x)=(x+2)^2
D. -2x
Answers
the correct answer is A
Always concentrate on point where X or G(X) equals Zero.
For example, here point (0,2), G(X)=2 when X=Zero.
If u tried to Replace X and G(X) in the equations below with these numbers, you would figure out the right answer so easily. Have a nice day!
Plot the x- and y-intercepts to graph the equation. y = 1/3x + 1
Answers
The graph that shows the x- and y-intercepts to graph the equation. y = 1/3x + 1 is added as an attachment
How to plot the equation on a graph?From the question, we have the following equation that can be used in our computation:
y = 1/3x + 1
We set x = 0 to determine the y-intercept
So, we have
y = 1/3 x 0 + 1
Evaluate
y = 1
So, we have
(x, y) = (0, 1)
We set y = 0 to determine the x-intercept
So, we have
0 = 1/3x + 1
Evaluate
1/3x = -1
This gives
x = -3
So, we have
(x, y) = (-3, 0)
So, the intercepts are (0, 1) and (-3, 0)
See attachment for the graph
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wilma can mow a lawn in 40 minutes. vanessa can mow the same lawn in 120 minutes. how long does it take for both wilma and vanessa to mow the lawn if they are working together?
Answers
It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.
A lawn can be mowed by Wilma in 40 minutes. In one hour, Vanessa can cut the same lawn in 120 minutes.
1/120 + 1/40 = 1/T
multiply by 40T;
3T = 40
T = 40/3
= 13 1/3 minutes
= 13 minutes 20 seconds
It takes 13 minutes 20 seconds for both wilma and vanessa to mow the lawn if they are working together.
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I need help with these questions please help
Answers
Step-by-step explanation:
2.
it is a square !
what do we know about squares ?
first of all, they are a special rectangle, where length = width, and therefore all 4 sides are equally long.
and secondly, as they are a form of rectangle, every inner angle is 90°.
so,
6x - 12 = 90
6x = 102
x = 102/6 = 17
therefore,
CD = x + 15 = 17 + 15 = 32
many greetings to your teacher, CD is a side, a length, and NOT an angle, so it is NOT measured in degrees (°).
since it is a square and all sides are equally long,
AD = CD = 32
3.
it is a rectangle.
so, it has 4 sides consisting of 2 pairs of equally long sides. that means there are 2 equally long side we call length, and 2 equally long sides we call width.
these equally long sides are always opposite of each other.
that means
2x - 52 = x - 2
x - 52 = -2
x = -2 + 52 = 50
The sum of two numbers is 12. The difference of the same two numbers is -4. Wht is the smaller number?
Answers
Answer:
The smaller number is 4.
Step-by-step explanation:
X and Y are the two numbers
x+y=12
x-y=-4
Subtract these two equations
(x+y=12)
-(x-y=-4)
—————-
2y=16
y=8
Plug it in to any equation:
x+y=12
x+8=12
x=4
If a1=9 And an= 4an-1 then find the value of a5
Answers
If a₁ = 9 and aₙ = 4 + (aₙ - 1) in an arithmetic sequence, then the value of fifth term a₅ is equal to 25.
How to calculate an arithmetic sequence?Mathematically, the nth term of an arithmetic sequence can be calculated by using this expression:
aₙ = a₁ + (n - 1)d
Where:
d represents the common difference.a₁ represents the first term of an arithmetic sequence.n represents the total number of terms.From the information provided, we know that the common difference is equal to 4.
Substituting the given parameters into the formula, we have;
a₅ = 9 + (5 - 1)4
a₅ = 9 + 4(4)
a₅ = 9 + 16
a₅ = 25
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Complete Question:
If a₁ = 9 and aₙ = 4 + (aₙ - 1), then find the value of a₅.
HELP!
Identify the dependent events.
A. spinning a prime number on a spinner three times in a row
B. drawing a black card and then a red card from a well shuffled 52-cards deck
C. drawing a green jelly bean from a packet of jelly beans and then drawing a red
jelly bean after replacing the first
D. getting two heads when a coin is tossed twice
Answers
As replacing a draw is an independent event, the dependent events are
B. drawing a black card and then a red card from a well-shuffled 52-cards deck.
D. Getting two heads when a coin is tossed twice.
What are dependent events?If the outcome of one event has an impact on the outcome of another, then two events are dependent. For instance, if you draw two colored balls at random from a bag and don't replace the first ball before drawing the second, the result of the second draw will be influenced by the result of the first.
From the given options we conclude that the dependent events are
Drawing a black card and then a red card from a well-shuffled 52-cards deck.
Getting two heads when a coin is tossed twice.
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Find the values of x and y.
Question content area bottom
Part 1
x
41 (Do not include the degree symbol in your answer.)
Part 2
y
enter your response here (Do not include the degree symbol in your answer.)
Answers
Step-by-step explanation:
when a line intersects parallel lines, then the intersecting angles must be the same for each of the parallel lines.
so,
y = 139
and the angles y and x are supplementary (or a linear pair). that means together they have 180°.
that is simply because the sum of all angles around a single point on one side of a line must be 180° (because the line is like the diameter of a circle with the "rotation point" being the center, and one side of the line represents the half-circle).
therefore,
y + x = 180
139 + x = 180
x = 41
five people are to be seated around a circular table. two seatings are considered the same if one is a rotation of the other. how many different seatings are possible?
Answers
24 different seatings are possible when five people are to be seated around a circular table such that two seatings are considered the same if one is a rotation of the other.
What is fundamental counting principle?A rule used to count the entire number of alternative outcomes in a circumstance is known as the fundamental counting principle. It asserts that if there are n ways to do something and then m ways to do something else, then there are nm methods to do both of these acts. The Fundamental Principle of Counting assists in determining how selection is made based on available options. The Fundamental Principle of Counting streamlines the method to choosing by taking into account all of the available options and their combinations in order to calculate the Probability.
Here,
Since there are 5 peoples,
let us fix the first person and remaining will be set according to that.
this can be arranged in,
(5-1)!=4!
=24 ways
When five persons are sitting around a circular table, 24 distinct seatings are available, with two seatings regarded the same if one is a rotation of the other.
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researchers recruited over 1{,}0001,0001, comma, 000 patients with chronic back pain to participate in a study about the benefits of acupuncture. each subject was randomly assigned to one of these treatment plans: traditional chinese acupuncture, placebo acupuncture, and conventional pain treatment (medication and physical therapy). what is the primary purpose of randomly assigning subjects to the different treatment plans?
Answers
Accupunture is best these days for medication and health therapy.
What is accupunture.?Acupuncture is a traditional medical practice in which a doctor inserts needles into certain body parts of a patient. The earliest documents date back at least 2,500 years. [1] "Acupuncture points" are locations on the body where tiny metal needles are inserted. It is a type of complementary medicine[2], and it is fundamental to Traditional Chinese medicine[3] (TCM). [4] It makes use of the yin and yang principle.It is debatable and has yielded conflicting findings to research acupuncture using the concepts of "evidence-based medicine" (science research). [9] Although the majority of research indicates that acupuncture's effects are primarily attributable to placebo, certain studies indicate that acupuncture can reduce pain. [10] There is evidence that any advantages of acupuncture are transient. [11] When compared to conventional medical therapies, there is inadequate evidence to justify the use of acupuncture. [12] In the long run, acupuncture is not more effective than conventional medicine. [13]Learn more about accupunture click here:
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A goat is tied by a rope 2.5 m to a peg
in some grass. The goat eats 1 m² of
grass in
28 min. How long does it take to eat all that
it can reach?
Answers
Time taken to eat all = 549.5 minutes.
What is unitary method?
The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things. We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
The goat can rototate in a circule the radius of the curcle is 2.5 mSo the area of circle is;A=(pi) (r^2)A=(3.14)(2.5)^2A=19.625 m^2As 28 minutes for 1 m^2 so;Time taken to eat all = (28)(19.625)=549.5 minutesHence,Time taken to eat all = 549.5 minutes.
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Find the value of X. Find the m
Answers
Answer:
Step-by-step explanation:
all angles of a triangle add up to 180 degrees, so:
3x-40+x+60 = 180
4x = 180 - 60 + 40
4x = 160
x = 40
Check:
LS: RS:
3(40)-40+40+60 180
= 180
because LS = RS,
x = 40
Hope this helps and you understand!!
a grocer stacks oranges in a pyramid-like stack whose rectangular base is 5 oranges by 8 oranges. each orange above the first level rests in a pocket formed by four oranges below. the stack is completed by a single row of oranges. how many oranges are in the stack?
Answers
The total number of oranges in the pyramidal stack is 78.
The oranges are stacked by the grocer in a pyramid like shape,
The base of the pyramid is rectangular with a size of 5 by 8 oranges,
So, total number of oranges in the base can be found as,
= 5 x 8
= 40 oranges.
One orange has four oranges below it. So, if there are 40 oranges in the base, the upper layer will have one row of oranges reduced from each side of the rectangular base.
So, every next level will have (L-1)(B-1) oranges, where L and B are the length and breadth of every preceding rectangle.
Hence, Oranges in level 1 = 4x8
Oranges in level 2 = 3x7
Oranges in level 3 = 2x6
Oranges in level 4 = 1x5
Hence, total oranges are, (40+21+12+5) oranges.
Total oranges stacked are 78 oranges.
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Evaluate the expression (3 • 2)^2
Answers
Answer:
36
Step-by-step explanation:
(3*2)^2
3*2=6
6^2=36
Answer:
36
Step-by-step explanation:
(3x2)^2
6^2
36
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1 Test (1.4, 2.1 - 2.8)
K
Solve the equation P=n+k+ m for n.
n=
(Simplify your answer.)
Answers
In the given equation, the value of n is (p - k - m).
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given an equation, p = n + k + m
Solving for n, we get
n = p - k - m
Hence, In the given equation, n = p - k - m
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Which rule explains why these triangles are congruent
Answers
Answer:
A
Step-by-step explanation:
∠ A = ∠ P
∠ C = ∠ R
AC = PR
If 2 angles and the included side of one triangle are congruent to 2 angles and the included side of another triangle, then the triangles are congruent.
The included side is the side between the vertices of the 2 angles.
Then the triangles are congruent by the ASA postulate
the american management association is studying the income of store managers in the retail industry. a random sample of 49 managers reveals a sample mean of $45,420. the standard deviation of the population is $2,050. using a 95% level of confidence, what is the confidence interval for the population mean?
Answers
Answer:
burgers
Step-by-step explanation:
ahhhhhhhhhhhhhhhhhh
Solve for X:
1/2x + 1/3x = 10
Answers
Answer:
Step-by-step explanation:
weknr f not sure
Answer:
12
Step-by-step explanation:
1/2x+1/3x=10
We simplify by making common denominator and adding them (if you don’t know how to do that please tell me)
3/6x+2/6x=10
5/6x=10
Now divide 5/6 on both sides
5/6x=10
/5/6. /5/6
x=10*6/5
x=60/5
x=12
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you are 5 ft tall. if the angle of elevation of a tower is 23 degree and you are standing 10 feet away from the base of the tower. how tall is the tower?
Answers
Using the angle of elevation, the height of the tower is 9.2 ft.
How to find the height of the tower?He is 5 ft tall. The angle of elevation of the tower is 23 degree.
He is standing 10 feet away from the base of the tower.
The height of the tower can be found as follows;
The situation forms a right angle triangle.
The height of the tower can be found using trigonometric ratios.
Hence,
tan ∅ = opposite / adjacent
where
∅ = angle of elevationtan 23° = h / 10
cross multiply
h = 10 tan 23°
h = 4.2447481621
h = 4.2 ft
Therefore,
height of the tower = 4.2 + 5 = 9.2 ft
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Pls help due tomorrow!!!!!!!!!!:
Answers
The answer is 15ab
Step-by-step explanation:
Since (x + y)² = (x + y)(x + y) = x² + 2xy + y²
(3a + 2.5b)²
9a² + 2(3a)(2.5b) + 6.25b²
9a² + 15ab + 6.25b²
Hence, (3a + 2.5b)² = 9a² + 6.25b² + 15ab
after collecting the historical data from a process of filling coca-cola bottles, it was found that the variance in the filling process is constant. however, clogs in the machine often affect the average volume. the historical standard deviation is 5 ml. in filling 250 ml bottles, a sample of 20 bottles found an average of volume of 246 ml. create a 95% confidence interval for the average volume of coca-cola in a bottle. can you conclude from your results that the manufacturer needs to adjust the equipment to meet the standard?
Answers
The manufacturer needs to adjust the equipment to meet the standard with the margin of error of 2.34.
Define the term margin of error?The calculated number known as the margin of error is added to and removed from the mean value to get the resulting confidence interval. The confidence interval expands as the margin of error does.
Alpha value = 0.05Standard deviation = 5Sample size = 20Sample average = 246Calculate the 95% confidence interval's margin of error based on the aforementioned data.
α = 0.05
n = 20
s = 5
The following is the formula to determine the margin of error:
E = T(n-1) ×s/√n
The t-distribution table is used to determine the value of tn-1 at 19 degrees of freedom.
Replace the values in the formula above.
E = 2.093 ×5/√20
Thus, its margin of error is 2.34 as a result.
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the average flight time for the pilots is found to be 8.12 hours. the standard deviation reported by the faa is 0.72 hours, and there were 81 pilots in the sample. what is the t-statistic for this hypothesis test? report to two decimal places.
Answers
The t-statistic for this hypothesis test will be 1.50 as "the average flight time for the pilots is found to be 8.12 hours. the standard deviation reported by the faa is 0.72 hours, and there were 81 pilots in the sample."
What is test statistic?A statistic used in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is typically expressed. A number derived from a statistical test of a hypothesis is the test statistic. It displays how closely your actual data match the distribution predicted by the statistical test's null hypothesis.
Here,
test statistic t is,
t = (x' - μ)/(σ/√n)
x'=8.12 hours
μ=8 hours
σ=0.72 hours
n=81 pilot
t=(8.12-8)/0.72/(√81)
=0.12/0.08
t=1.5
For this hypothesis test, the t-statistic will be 1.50 as "The pilots' average flight time was found to be 8.12 hours. There were 81 pilots in the sample, and the faa reported a standard deviation of 0.72 hours."
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8 Write an equation of the line passing through the point (-7,-6) with slope m = 4
Answers
(y+6)=4(x+7)
y+6=4x+28
y=(2/3)x+(14/3)
in case study 19.1, we learned that about 56% of american adults actually voted in the presidential election of 1992, whereas about 61% of a random sample claimed that they had voted. the size of the sample was not specified, but suppose it were based on 1600 american adults, a common size for such studies. (a) into what interval of values should the sample proportion fall 68%, 95%, and almost all of the time? (round your answers to three
Answers
Confidence interval for 68% confidence level = (0.548, 0.572)
Confidence interval for 95% confidence level = (0.536, 0.584)
Confidence interval for 99.99% confidence level = (0.523, 0.598)
The mean of this sample distribution is
Mean = μₓ = np = 0.61 × 1600 = 976
But the sample mean according to the population mean should have been
Sample mean = population mean = nP
= 0.56 × 1600 = 896.
To find the interval of values where the sample proportion should fall 68%, 95%, and almost all of the time, we obtain confidence intervals for those confidence levels. Because, that's basically what the definition of the confidence interval is; an interval where the true value can be obtained to a certain level. of confidence.
We will be doing the calculations in sample proportions,
We will find the confidence interval for the confidence levels of 68%, 95% and almost all of the time (99.7%).
Basically the empirical rule of 68-95-99.7 for standard deviations 1, 2, and 3 from the mean.
Confidence interval = (Sample mean) ± (Margin of error)
Sample Mean = population mean = 0.56
The margin of Error = (critical value) × (standard deviation of the distribution of sample means)
Standard deviation of the distribution of sample means = [tex]\sqrt{[p(1-p)/n]}[/tex] =
[tex]\sqrt{[(0.56\times0.44)/1600]}[/tex] = 0.0124
The critical value for 68% confidence interval = 0.999 (from the z-tables)
The critical value for 95% confidence interval = 1.960 (also from the z-tables)
Critical values for the 99.7% confidence interval = 3.000 (also from the z-tables)
Confidence interval for 68% confidence level
= 0.56 ± (0.999 × 0.0124)
= 0.56 ± 0.0124
= (0.5476, 0.5724)
Confidence interval for 95% confidence level
= 0.56 ± (1.960 × 0.0124)
= 0.56 ± 0.0243
= (0.5357, 0.5843)
Confidence interval for 99.7% confidence level
= 0.56 ± (3.000 × 0.0124)
= 0.56 ± 0.0372
= (0.5228, 0.5972)
Therefore,
Confidence interval for 68% confidence level = (0.548, 0.572)
Confidence interval for 95% confidence level = (0.536, 0.584)
Confidence interval for 99.99% confidence level = (0.523, 0.598)
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