Answer:
limit does not exist
Step-by-step explanation:
From the left: f(x) = x + 10 (for x < 8), as x --> 8, f(x) --> 18
From the right: f(x) = 10 - x (for x >= 8), as x --> 8, f(x) --> 2
Since the limits on either side do not converge to the same point, the limit does not exist
Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements.
x1 = 15, n1 = 50 and x2 = 23, n2 = 60;
Construct a 90% confidence interval for the difference between population proportions p1 - p2.
Null Hypothesis (H0): p1 - p2 = 0. Alternative Hypothesis (H1): p1 - p2 ≠ 0. Test Statistic: Z-score. 90% confidence interval: (-0.191, 0.291). Conclusion: Fail to reject H0, indicating no significant difference in population proportions.
1) Null Hypothesis (H0): There is no difference between the population proportions (p1 - p2 = 0).
Alternative Hypothesis (H1): There is a difference between the population proportions (p1 - p2 ≠ 0).
2) Test Statistic: Z-score for two independent proportions.
3) P-value or Critical Value: Z-value for a 90% confidence interval.
4) Concluding Statement: With a 90% confidence interval, we find the difference in population proportions to be between -0.191 and 0.291. Thus, we fail to reject the null hypothesis.
The complete question is:
Construct the indicated confidence interval for the difference between population proportions Assume that the samples are independent and that they have been randomly selected. Be sure to provide the (1) Null & Alternative Hypotheses, (2) Test Statistic, (3) P-value (or critical value), and (4) concluding statements. x1 = 15, n1 = 50 and x2 = 23, n2 = 60; Construct a 90% confidence interval for the difference between population proportions p1 - p2.
Mia has $1,000 in savings and wants to deposit her money in the savings account that will pay the most annual
interest. She is choosing between two accounts: Account A pays 5 percent and Account B pays 4 percent. Which
account will pay more interest? How much more will it pay each year?
Answer: Account A pays more interest. It pays $10 more.
Step-by-step explanation:
The following information can be derived from the question:
Principal= $1000
Account A rate= 5%
Time = 1 year
Interest= (Principal × Rate × Time)/100
= ($1000 × 5 × 1)/100
= $5000/100
= $50
Account A pays interest of $50
Principal= $1000
Account B rate= 4%
Time = 1 year
Interest= (Principal × Rate × Time)/100
= ($1000 × 4× 1)/100
= $4000/100
= $40
Account B pays interest of $40
From the solutions provided, Account A pays more interest. This is calculated as: $50 - $40 = $10
Question 2 of 10
2 Points
Which of the following describes a rigid motion transformation?
O
A. Enlarging the size of a parking spot
O
B. Dilating a picture
O
C. Slicing a sandwich into 4 pieces
O
D. Hitting a tennis ball over a net
Option (D) Hitting a tennis ball over a net describes the rigid motion transformation option (D) is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have a statement:
Which of the following describes a rigid motion transformation?
As we know, geometric transformation also known as rigid transformation is a change in geometry.
Thus, option (D) Hitting a tennis ball over a net describes the rigid motion transformation option (D) is correct.
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A soccer ball is at rest and is then kicked giving it a final velocity of 6.0 m/s. The ball has a mass of
0.28 kg. If the time of contact between the soccer player's foot and the ball is 0.020 s, what was the
average force applied to the ball?
Answer:
The average force applied to the ball is 84N
Step-by-step explanation:
This problem bothers on the impulse of a force
Given data
Mass of ball m= 0.28kg
Initial speed u= 0m/s
Final speed v= 6m/s
Time of impact t= 0.02s
We know that the impulse of a force
Ft= mv-mu
Hence the force is
F= (mv-mu)/t
F=m(v-u)/t
F= 0.28(6-0)0.02
F= 1.68/0.02
F= 84N
The
symbol is used to represent the ratio of the circumference to the diameter of a circle.
Answer:
π
Step-by-step explanation:
pi
The symbol used to represent the ratio of the circumference to the diameter of a circle is 'pi' or π
Circumference of a circle is given as : 2πr
Diameter of a circle is double the radius of the circle
Thus it is given as '2r'
where 'r' is the radius of the circle
Taking the ratio of both:
Ratio = 2πr/2r = π
Thus ratio comes out to be 'π'
Samuel has a hamster cage that is a rectangular prism. It is 20 inches
long, 12 inches deep, and 10 inches tall. What is the volume, in cubic
inches, of Samuel's hamster cage?
2,400 1/8 cubic inches
2,521 1/2 cubic inches
5791 1/9 cubic inches
1,158 1/4 cubic inches
Answer:
well im not sure but that's what i got
Step-by-step explanation:
(20)(12)(10)=2400
2400/4= 800
The volume of the given rectangular prism is 2400 cubic inches.
Given that, a rectangular prism dimensions are length = 20 inches, width = 12 inches and height = 10 inches.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same.
Volume of a rectangular prism = Area of a base × Height.
Here, Area of a base = length × width
= 20 × 12
= 240 square inches
So, volume = 240 × 10
= 2400 cubic inches
Therefore, the volume of the given rectangular prism is 2400 cubic inches.
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The area of a hexagon is 42 square centimeters. If all the dimensions of the hexagon are multiplied by 3, what will be
the area of the new figure?
Answer:
The area is 126 square centimeters
Step-by-step explanation:
42 x 3 = 126
Boomtown completes a census every ten years. The table shows the population of the town for each census taken.
What will be the population in 2100?
A. 119,574,225
B. 39,858,075
C. 367
D. 4,782,969
Answer: b 39,858,075
Answer:
Answer: b 39,858,075
Step-by-step explanation:
If m∠X = 55° and m∠Y = 75°, then m∠W =
The correct answer is C) 105°.
The sum of the angles in a triangle is 180 degrees. Since we know the measures of two of the angles, we can find the measure of the third angle by subtracting the sum of the first two angles from 180 degrees.
In this case, m∠X + m∠Y = 55° + 75° = 130°.
Therefore, m∠W = 180° - 130° = 50°.
However, the diagram shows angle W as an exterior angle of the triangle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two remote interior angles. In this case, the remote interior angles are ∠X and ∠Y.
Therefore, m∠W = m∠X + m∠Y = 55° + 75° = 130°.
Answer Choice Explanation:
A) 20° is too small.
B) 35° is too small.
C) 105° is correct.
D) 130° is too large.
Therefore, the correct answer is C) 105°.
The equation ___ has no solution.
A. 13y+2-2y=10y+3-y
B. 9(3y+7)-2=3(-9y+9)
C. 32.1y +3.1+2.4y-8.2=34.5y-5.1
D. 5(2.2y+3.4_=5(y-2)+6y
Answer:
c) 32.1y +3.1+2.4y-8.2=34.5y-5.1
Which equation has no solution?
Answer:
5+2(3+2x)=x+3(x+1)
Step-by-step explanation:
5+2(3+2x)=x+3(x+1)
5+6+4x=x+3x+3
11+4x=4x+3
11≠3
Answer:
5+2(3+2x)=x+3(x+1)
Step-by-step explanation:
5+2(3+2x)=x+3(x+1)
5+6+4x=x+3x+3
11+4x=4x+3
11≠3
(happy to help)
Isaiah creates 5 music playlists for a party. Each playlist has 10 songs. How many songs did Isaiah include in all of
his playlists?
Answer:
Isaiah included 50 songs in all of
his playlists.
Step-by-step explanation:
Each playlist has 10 songs. So if you have 2 playlists then you have 10 songs for the first playlist and 10 songs for other playlist.
In this question there are 5 playlists, so 10 + 10 + 10 + 10 + 10 =50 songs.
In mathematics you can multiply to get the answer quickly:
5 * 10 = 50
That is a lot faster and you still get the same result!
4. If f(x) = 4x - 9, what is the equation for f1(x)?
ºf-'(x) == -9
X+9
© f*(x) = **
© F"(x) = + 9
f"(x) = x -9
0
Answer:
F1(x) = 4x-9 Thats the answer
55 out of 75 jars are black. What percentage of the jars are black?
Step-by-step explanation:
well we know our fraction is 55/75
then we divide to get 0.73
multiply by 100 and your answer is 73%
please vote brainliest and say thanks and rate 5 stars <<3Which number has a 9 that has a value that is
10 times as much as the 9 in 593,6407
Answer:
Any number with the 9 in the hundred thousands place for example, 905,556 or 956,214
Step-by-step explanation:
A marble is drawn at random from a bag containing 2 blue
marbles, 3 yellow marbles, and 7 orange marbles. What is the
probability that the marble is not yellow and not blue?
Select one:
1/4
3/4
7/12
5/12
The required probability that the marble is not yellow and not blue is 7/12. Option C is correct.
Given that,
A marble is drawn at random from a bag containing 2 blue marbles, 3 yellow marbles, and 7 orange marbles.
Probability can be defined as the ratio of favorable events to the total number of outcomes.
Here,
blue = 2
yellow = 3
orange = 7
The probability that the marble is not yellow and not blue,
= 1 - 2/12 - 3/12
= [12 - 2 - 3] / 12
= 7/12
Thus, the required probability that the marble is not yellow and not blue is 7/12. Option C is correct.
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A bag of jellybeans contains 10 cherry flavored jellybeans, 10 green apple flavored jellybeans, 10 lemon flavored jellybeans, and 10 blue raspberry flavored jellybeans. If Jaime eats one jellybean at a time at random, what is the probability that he eats a cherry flavored jellybean first and a green apple flavored jellybean second?
A. 3/52
B. 1/16
C. 79/156
D. 5/78
Please help i’ll give brainliest answer
Answer:
d
Step-by-step explanation:
The probability that Jaime eats a cherry flavored jellybean first and a green apple flavored jellybean second, for the given condition, is given by: Option D: 5/78
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
What is chain rule in probability?For two events A and B, by chain rule, we have:
[tex]P(A \cap B) = P(B)P(A|B) = P(A)P(B|A)[/tex]
where P(A|B) is probability of occurrence of A given that B already occurred.
For this case, we're specified that:
Bag consists of 40 flavored jellybean, in which there are 10 cherry flavored jellybeans, 10 green apple flavored jellybeans, 10 lemon flavored jellybeans, and 10 blue raspberry flavored jellybeans.Jaime eats jellybean one at a time at random.P(The first jellybean he eats is cheery flavored and the second jellybean he eats is green apple flavored) = To evaluate.Let we take:
A = event that the first jellybean he chose is cherry flavored.
Then, as there are 10 ways to choose a cherry flavored jellybean, and 40 ways to choose a single jellybean randomly, so we get:
n(A) = 10, and n(choosing a random jellybean from a bag of 40 jellybean) = 40
Thus, we get: P(A) = 10/40 = 1/4 = 0.25
Now, let we take B = event that after eating first jellybean (first can be of any flavor), the second jellybean he eats is of green apple flavored.
For second random picking, there are only 39 jellybeans remaining.
P(B|A) = Probability that the second jellybean chosen is green apple flavored given that the first jellybean was cherry flavored.
Since if first jellybean was cherry flavored, so there are still 10 green apple flavored jellybean.
Thus, P(B|A) = 10/39
Using the chain rule, we get:
P(First jellybean is cherry flavored and second jellybean is green apple flavored) = [tex]P(A \cap B) = P(A)P(B|A) = \dfrac{10}{40} \times \dfrac{10}{39} = \dfrac{10}{156} = \dfrac{5}{78}[/tex]
Thus, the probability that Jaime eats a cherry flavored jellybean first and a green apple flavored jellybean second, for the given condition, is given by: Option D: 5/78
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30 POINTS!!!
The height of a cable in a suspension bridge changes based on the horizontal distance from the tower supporting the cable. The graph shows the relationship between horizontal distance and height.
For what horizontal distance is the height the smallest?
250 feet * this is what I think*
300 feet
500 feet
900 feet
Answer:
250 feet
Step-by-step explanation:
Vertex: (250,300)
Minimum height is 300 when the horizontal distance is 250
Step-by-step explanation:
Step 1: Find the smallest height
If you look at the graph, you can tell that at 250 feet, the height in feet is the lowest and it is at 250. Therefore, the vertex is also (250, 250). But, we are just looking for the x-value which will be 250.
Answer: Option A, 250 feet... you were correct :) Good Job
If you had a penny today, that doubled everyday for a month How much will you have in each account at the end of the month?
Write your explanation
Today: 1 cent.
Since there are 30 days which you double, multiply it by [tex]2^{30} .[/tex]
You get ABOUT 1 billion, or 1,000,000,000
Convert that to dollars (divide by 100), and you get...
Answer:
A Penny Doubled Everyday. Quite a big difference once you look at it as you would be getting over 5 million dollars with the penny doubled everyday for 30 days route.
Step-by-step explanation:
Toniqua opens a savings account and deposits $43 in the account. Each week, she deposits $16 to the account.
Which equation gives the amount of money in Toniqua's bank account, y, after x weeks?
A. y = 16x
B. y = 43x
C. y = 16 + 43x
D. y = 43 + 16x
Please hurry!!
Answer:
D
Step-by-step explanation:
Because of the fact that she opened a savings account and deposited $43 you are going to add that to 16x. Why? Because x represents the number of weeks she deposits $16 in her savings account. The y represents the money in her bank account, which is what we are trying to find.
I hope I've helped! Please leave a Thanks and Vote/Rate.
The correct equation representing the amount of money in Toniqua's bank account after x weeks is y = 43 + 16x. It combines the initial deposit of $43 with the $16 added each week multiplied by the number of weeks.
Explanation:The question asks for an equation that represents the amount of money in Toniqua's bank account, y, after x weeks. Considering that Toniqua starts with a deposit of $43 and then adds $16 each week, the total amount of money after x weeks would be the initial deposit plus the weekly deposit amount times the number of weeks. Therefore, the correct equation would be:
y = 43 + 16x
The initial deposit is a one-time amount, so it does not multiply by the number of weeks, hence the 43 is not multiplied by x. However, the weekly deposit of $16 does multiply by the number of weeks, which gives us the 16x term in the linear equation.
Ashlee is purchasing a $125,000 home and her bank is offering her a 30-year
mortgage at a 4.75% interest rate. In order to lower her monthly payment,
Ashlee will make a 20% down payment and is considering a purchase of 2
points. How much lower will her monthly payment be if she purchases the
points?
Final answer:
To calculate how much lower Ashlee's monthly payment will be if she purchases the points, we first need to calculate her monthly payment with and without the points. Ashlee will make a 20% down payment on the $125,000 home. By purchasing the points, Ashlee will lower her interest rate by 2%. The difference in monthly payments is approximately $115.44.
Explanation:
To calculate how much lower Ashlee's monthly payment will be if she purchases the points, we first need to calculate her monthly payment with and without the points.
1. Calculate the loan amount: Ashlee will make a 20% down payment on the $125,000 home, which is $25,000. So, the loan amount will be $125,000 - $25,000 = $100,000.
2. Calculate the monthly payment without the points: Using the loan amount of $100,000, the interest rate of 4.75%, and the loan term of 30 years, we can use a mortgage calculator to find the monthly payment. The monthly payment without the points is approximately $522.62.
3. Calculate the monthly payment with the points: Ashlee is considering purchasing 2 points. Each point is equal to 1% of the loan amount, so 2 points would be 2% of $100,000, which is $2,000. By purchasing the points, Ashlee will lower her interest rate by 2% to 4.75% - 2% = 2.75%. Using the loan amount of $100,000, the new interest rate of 2.75%, and the loan term of 30 years, we can again use a mortgage calculator to find the monthly payment. The monthly payment with the points is approximately $407.18.
4. Calculate the difference in monthly payments: The difference in monthly payments is $522.62 - $407.18 = $115.44. Therefore, Ashlee's monthly payment will be approximately $115.44 lower if she purchases the points.
Ashlee's monthly payment would be approximately $50.44 lower if she purchases 2 points.
1. Calculate the loan amount after the down payment:
Down payment amount = 20% * $125,000 = $25,000
Loan amount = $125,000 - $25,000 = $100,000
2. Calculate the monthly payment without buying points:
Convert the interest rate to a decimal: 4.75% = 0.0475
Number of months in the loan term: 30 years * 12 months/year = 360 months
Use a mortgage calculator or the following formula to calculate the monthly payment:
Monthly payment = (Loan amount * Interest rate * (1 + Interest rate)^Number of months) / ((1 + Interest rate)^Number of months - 1)
3. Calculate the cost of buying 2 points:
Each point typically costs 1% of the loan amount.
Cost of 2 points = 2 points * 1% * $100,000 = $2,000
4. Calculate the reduced interest rate with points:
Each point usually reduces the interest rate by 0.25%.
Reduced interest rate = Original interest rate - Points reduction * Number of points
Reduced interest rate = 0.0475 - 0.0025 * 2 = 0.0425
5. Calculate the monthly payment with points:
Use the same formula as in step 2 but with the reduced interest rate.
6. Calculate the difference in monthly payments:
Difference = Monthly payment without points - Monthly payment with points
Example calculation:
Let's assume the monthly payment without points is $522.62 (calculated using a mortgage calculator) and the monthly payment with points is $472.18.
Difference in monthly payment = $522.62 - $472.18 = $50.44
Therefore, Ashlee's monthly payment would be approximately $50.44 lower if she purchases 2 points.
A local hamburger shop sold a combined total of 768 hamburgers and cheeseburgers on Saturday. There were 68 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Saturday?
Which expressions are equivalent to q+p+q+p+qq+p+q+p+qq, plus, p, plus, q, plus, p, plus, q?
Answer:
A&B
Step-by-step explanation:
3q + 2p is our correct answer.
Given,
q + p + q + p + q
We need to find the final expression.
Since the options are not given here we will assume the answers.
What is expression?An expression is a sentence with more than one numbers or variables and at least one math operation.
We have,
q + p + q + p + q
There are 3 q and 2 q
Now add the like terms
3q + 2p
Thus the expression we got is 3q + 2p.
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21. Is the histogram uniform, symmetric, or skewed? (1 point)
uniform
symmetric
skewed
Answer:
Symmetric
Step-by-step explanation:
The data is spread out symmetrically. It isn't uniform because the values aren't around each others values. It isn't skewed because the data isn't 'closer' to one side.
Answer:
symmetric
Step-by-step explanation:
if you put a line down the middle you’ll notice both sides are symmetric, kind of like looking into a mirror
Which of the following is the equation of a line in slope-intercept form for a
line with slope = 4 and y-intercept at (0, 2)?
O A. y = 2x+4
B. y = 4x-2
c. y = 4x + 2
D. x = -2x-4
Answer:
C features a slope of +4 and a y-intercept of +2
Step-by-step explanation:
Only the middle two answers feature a slope of +4, so eliminate answers A and D. Answer C features a slope of +4 and a y-intercept of +2
The equation of a line in slope-intercept form for a line with slope 4 and y-intercept at (0, 2) is C. y = 4x + 2.
Explanation:In the slope-intercept form of a linear equation, y = mx + b, 'm' represents the slope and 'b' represents the y-intercept. If we substitute the given values into this equation, with m = 4 (the slope) and b = 2 (the y-coordinate of the y-intercept), we get y = 4x + 2. So, the correct answer is C. y = 4x + 2.
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multiply 4 times 7/8 and then at 12
Explain how to complete the square for an expression of the form x2+bx
.
Add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
Important information:
The given expression is [tex]x^2+bx[/tex].Completing the square:We know that,
[tex](x+y)^2=x^2+2xy+y^2[/tex]
[tex](x+y)^2=a^2+(2y)a+\left(\dfrac{2y}{2}\right)^2[/tex]
It means, we need to add the square of half of the coefficient of x in [tex]x^2+bx[/tex] to make it perfect square, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex].
[tex]x^2+bx+\left(\dfrac{b}{2}\right)^2=\left(x+\dfrac{b}{2}\right)^2[/tex]
Therefore, add [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the expression to make it perfect square.
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To complete the square for an expression [tex]x^2+bx[/tex] you divide the coefficient of 'x' by 2, square it, and add and subtract that within the square, which can then be factored to a perfect square trinomial.
Explanation:Completing the square for an expression of the form [tex]x^2+bx[/tex] involves a process to rewrite the quadratic expression into a form that can be factored as a perfect square trinomial. Here are the steps to do so:
Divide the coefficient of x (which is 'b' in your equation) by 2 and square the result. This will be the value added and subtracted within the square to complete it. Add and subtract the calculated number from step 1 inside the parenthesis to maintain the balance of the equation. Simplify the equation, factoring out the perfect square trinomial formed.
In other words, x^2+bx can be rewritten as [tex][x+(b/2)]^2 - (b/2)^2[/tex]. Here, [tex][x+(b/2)]^2[/tex] is the perfect square trinomial.
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Use the equation g = h - 1 to find the value of g when h = 2.
Answer:
g=1
Step-by-step explanation:
g=2-1
g=1
PLEASE HELP!!!
Which expression can be used to find the surface area of the following square pyramid?
Choose 1 answer:
O 36+30+30+30+30
O 36+15
O 36+15+15+15
O 36+15+15+15+15
Answer:
36+15+15+15+15
Step-by-step explanation:
the base is 36, 6x6, and then you do the triangles, 6x5(1/2) which is 15, but there are 4 of them.
Answer:
its A) 36+15+15+15+15
Step-by-step explanation:
Super urgent!
Solve the equation for all real values of x. 3tan^2 = sqrt3 tanx
To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, divide both sides of the equation by tan(x) and then take the inverse tangent of both sides. The solutions for x are 30°, 210°, 390°, ...
Explanation:To solve the equation 3tan^2 = sqrt3 tanx for all real values of x, we can start by rearranging the equation. Divide both sides of the equation by tan(x) to get:
3tan(x) = sqrt3
Next, divide both sides of the equation by 3 to get:
tan(x) = sqrt3/3
Now, we need to find the values of x where the tangent function equals sqrt3/3. We can use the inverse tangent function to find the angles. Taking the inverse tangent of both sides gives:
x = arctan(sqrt3/3)
Then, we can simplify the expression:
x = 30° + n * 180°
where n is an integer. Therefore, the solutions for x are 30°, 210°, 390°, ...
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