To find the measure of angle x, we use the intersecting chords theorem in a circle.
The theorem is shown below;
\(x=\frac{1}{2}(m\angle AB+m\angle CD)\)Thus, using this theorem and comparing to the question, we have;
\(\begin{gathered} x=\frac{1}{2}(80+60) \\ x=\frac{1}{2}(140) \\ x=70^0 \end{gathered}\)Therefore, the value of x = 70 degrees.
Create a scenario that leads to an inequality of the form ax + b > c
Answer:
Johnny wants to buy a game but he doesn't have enough money. He needs to have at most $60 to buy his game. He has $5 in his piggy bank and gets $11 for every hour for working. Write an inequality where x represents his hours.
11x + 5 ≤ 60
Not that good but its better than nothing.
please help thank you so much
Answer:
no solution
Step-by-step explanation:
In a survey of 2266 adults, 736 say they believe in UFOs. Construct a 90% confidence interval for the population proportion of adults who believe in UFOs. A 90% confidence interval for the population proportion is ( ?, ?).
(Round to three decimal places as needed.)
Part 2
Interpret your results. Choose the correct answer below.
A.
With 90% probability, the population proportion of adults who do not believe in UFOs is between the endpoints of the given confidence interval.
B.
The endpoints of the given confidence interval shows that 90% of adults believe in UFOs.
C.
With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
D.
With 90% confidence, it can be said that the sample proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:
Confidence Interval = Sample Proportion ± Margin of Error
First, we calculate the sample proportion:
Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324
Next, we need to calculate the margin of error.
Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:
Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)
Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.
Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015
Finally, we can construct the confidence interval:
Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)
Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).
Now, let's interpret the results.
The correct answer is:
C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.
This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.
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you finance a $12,000 condo renovation completely on credit and you will just pay the minimum payment each month for the next few months. The APR is 18.99% and the minimum payment each month is 5% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
For Month 1, we have:
Carry-over balance = $12,000.00
Finance charge = $189.90
New balance = $12,189.90
Minimum payment = $609.50
For Month 2, we have:
Carry-over balance = $11,580.41
Finance charge = $183.26
New balance = $11,763.66
Minimum payment $588.18
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.
The explanation to the answer is now given as follows:
Note: See the attached excel file for calculations of the finance charge, carry-over balance, and minimum payment required for each of the next two months.
In the attached excel file, the following formulas are used:
r = Monthly percentage rate = APR / 12 = 18.99% / 12 = 1.5825%
Carry-over balance of the current month = New balance of the previous month - Minimum payment of the previous month
Robby is considering taking out a cash advance on his credit card to purchase a new television. His credit card offers cash advances up to $500.00 at an interest rate of 28%. If the television costs $350.00 and Robby plans to pay the balance of in 6 months, how much extra will he pay in interest to purchase the television?
The extra amount that Robby is to pay in interest to purchase the television is calculated as: $98
How to Calculate the Extra Amount Paid in Interest?To calculate the extra amount paid in interest, you need to determine the total cost of the loan, including the interest, and subtract the original amount borrowed.
Here's the formula to calculate the extra amount paid in interest:
Extra Amount Paid in Interest = Total Cost of Loan - Original Amount Borrowed
Where, Total Cost of Loan = Original Amount Borrowed + Interest
To calculate the interest, you can use the following formula:
Interest = Original Amount Borrowed x Interest Rate x Time
The interest on the cash advance is calculated as follows:
$350 x 28% = $98
So, the total amount Robby will pay for the television after interest is:
$350 + $98 = $448
Therefore, the extra amount Robby will pay in interest to purchase the television is:
$448 - $350 = $98
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Rewrite the following logarithmic expression as an exponential expression
Answer:
it should be the same answer....?
Step-by-step explanation:
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = \(\frac{12!}{3! 3! 3! 3!}\)
Now,
The Total number of ways in which Remaining cards are distributed = \(\frac{40!}{10! 10! 10! 10!}\)
So,
Total number of ways of getting 3 picture card and remaining card = \(\frac{12!}{3! 3! 3! 3!}\)× \(\frac{40!}{10! 10! 10! 10!}\)
= \(\frac{12! 40!}{(3!)^{4} (10!)^{4} }\)
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = \(\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }\)
∴ The probability = \(\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}\)
= \(\frac{12! 40!}{(3!)^{4} (10!)^{4} }\)×\(\frac{(13!)^{4} }{ 52! }\)
= \(\frac{12! 40!}{(3!)^{4} (10!)^{4} }\)×\(\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }\)
= \(\frac{12!}{(3!)^{4} }\)×\(\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}\)
= \(\frac{479,001,600}{(6)^{4} }\)×\(\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}\)
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
The height of the rectangular prism is 15 inches. The area of the base of the prism is 60 square inches. What is the volume of the rectangular prism in cubic inches?
The volume of the rectangular prism is 900 cubic inches.
What is prism?
A prism is a three-dimensional geometric shape that has two identical ends, called bases, and flat, parallel sides that connect the bases.
The formula for the volume of a rectangular prism is:
Volume = Base Area x Height
where the base area is the product of the length and width of the base. Since we are given the base area as 60 square inches, we can write:
Base Area = length x width = 60 sq in
The volume of a rectangular prism is given by multiplying the area of the base by the height. In this case, the height is given as 15 inches, and the area of the base is given as 60 square inches. Therefore, the volume of the rectangular prism can be calculated as follows:
Volume = Base Area x Height
Volume = 60 sq in x 15 in
Volume = 900 cubic inches
Therefore, the volume of the rectangular prism is 900 cubic inches.
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What is the slope of this line?
34
−3
4
−34
Answer:
slope = -2/3
Step-by-step explanation:
BECAUSE IT IS
heeeeeeeellllllllllppppppppppppp plz i nned help
Answer:
Step-by-step explanation:
This is a ratio problem. there are 20 Blonde Teachers, and 12 brown haired teachers. The fraction is 12/20. We can simplify this fraction to 3/5. for every 3 brown haired Teacher, there is 5 other blonde hair teachers.
Solve the system it’s 9th grade work and you have to put one solution no solution or infinite many
The system of equations has only one solution and is the point (1, 1)
How to solve the system of equations?Here we have the graph of a system of equations, where we can see that both of them are linear equations.
Whenw e have a graph of a system, the solutions are all the points where the graphs of the equations intercept.
On the given graph, we can see that the two lines intersept at the point (1, 1)
So we have only one solution and is the point (1, 1)
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g(-4)
Please help!!
Answer:
1
Step-by-step explanation:
g(-4) means what is the y value when x is -4.
Find x=-4, and when x=-4. y=1
Answer:
1
Step-by-step explanation:
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
Jen has three bracelets each bracelet has seven diamonds how many diamonds does Jen have in all 
Answer:
21 diamonds.
Step-by-step explanation:
1 bracelet = 7 diamonds
3 bracelet= ? diamonds
All we have to do is multiply 3 by 7 to get the number of diamonds Jen have with three bracelets.
3 x 7 = 21
Answer:
1 bracelet has 7 diamonds, therefore 2 has 14 and 3 has 21 diamonds
Step-by-step explanation:
HELP WILL GIVE BRAINLYEST AND 60 POINTS EACH
Answer: It was a reflection. We can see it's not a translation because it's flipped. We can see it is not rotated because it isn't flipped upside down and it isn't a dilation because they are all the same size.
Reflection.
The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.
Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams
What is Standard Deviatiοn?Standard deviatiοn is a statisticaI measure that shοws hοw much variatiοn οr dispersiοn there is frοm the mean οf a set οf data. It is caIcuIated by finding the square rοοt οf the variance.
Tο test this hypοthesis, we need tο perfοrm a οne-sampIe t-test with the fοIIοwing hypοtheses:
NuII hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is greater than οr equaI tο 275 grams.
AIternative hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is Iess than 275 grams.
We wiII use a οne-taiIed test with a IeveI οf significance οf 1%, which cοrrespοnds tο a t-scοre οf -2.33 (frοm the t-distributiοn tabIe with 255 degrees οf freedοm).
The test statistic fοr this sampIe is:
t = (sampIe mean - hypοthesized mean) / (sampIe standard deviatiοn / √(sampIe size))
t = (274.3 - 275) / (25.9 / √(256))
t = -1.7
Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams
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Answer:Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Step-by-step explanation:The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.
Reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.
Reject the null hypothesis. There is enough evidence to oppose the company's claim.
Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.
The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.
1
Points
/ 1
Find the value of x.
92°
36°
Answer: the answer is 7°
Step-by-step explanation:
1
4
(
8
−
6
x
+
12
)
?
1
4
(
8
−
6
x
+
12
)
?
A.
7
2
x
7
2
x
B.
−
13
2
x
−
13
2
x
C.
−
6
x
+
14
−
6
x
+
14
D.
−
3
2
x
+
5
The equivalent expression is 5 - 3x/2. Option D
What are algebraic expressions?Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.
these algebraic expressions are also composed of mathematical operations. These operations includes;
BracketParenthesesSubtractionMultiplicationDivisionAdditionFrom the information given, we have that;
1/ 4(8 - 6x + 12)
expand the bracket, we have;
Add the like terms
1/4(20 - 6x)
now, multiply the values, we have;
20 - 6x/4
Divide by the denominator
5 - 3x/2
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The complete question:
Simply the expression:
1/ 4(8 - 6x + 12)
Sam knows that there are 12 inches in 1 foot. He has a string that is 3 1/2 feet long. What is the length of the string , in inches?
Answer:
42 in
Step-by-step explanation:
12 x 3 = 36
1/2 foot = 6 in
36 + 6 = 42
Please break down how to do these pls
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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46x + 56xy (distributive property)
Step-by-step explanation:
\(\sf{hey\:}\) \(\sf\cancel{mate\:Here\:}\) \(\sf\red{is\:ur\:answer}\)
\(46x +(56x)y \\ = (100x)y \\ = 100xy\)
Answer:
2x(23+28y)
Step-by-step explanation:
2x.23=46x 2x.28y=56x but 46x+56xy
The surface area of a sphere is 900pi cubic cm. What is the length of its diameter.
The length of the diameter of the sphere is 30 cm.
The surface area of a sphere is given by the formula:
\(A = 4\pi r^2\)
where A is the surface area and r is the radius of the sphere.
We are given that the surface area of the sphere is 900π cubic cm. Therefore:
\(A = 4\pi r^2 = 900\pi\)
Dividing both sides by 4π, we get:
\(r^2 = 225\)
Taking the square root of both sides, we get:
r = 15
The diameter of the sphere is twice the radius, so:
d = 2r = 30
Therefore, the length of the diameter of the sphere is 30 cm.
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Will Give Brainleist! Plz help me on this problem
Which equation represents a line with slope 3/5 of and y-intercept of -1 ?
Answer:
y = 3/5x - 1
i think that's what's supposed to be there...
1. Let C be a nonsymmetric n x n matrix. For each of the following, determine whether the given matrix must necessarily be symmetric or could possibly be nonsymmetric:
(a) A= C+CT
(b) B = C-CT
(c) D = CTC
(d) E = CTC - CCT
(e) F = (I +C)(I + CT
(f) G = (I +C)(I -CT)
Option of the matrices a, b, and d are non symmetric.
What are Symmetric matrices ?Symmetric matrices are those matrices that have equal dimensions, i.e. the number of rows is same as the number of columns. They are also known as square matrices.
It is provided that A and B are symmetric n × n matrices.
To multiply two matrices of different order, the number of rows of the first matrix must be same as the number of columns of the second matrix.
Suppose X is a 2 × 3 matrix and Y is a 3 × 2.
Then the product AB will be a n × n matrix.
(a) A= C+CT
Thus the sum of matrix A and B will be a n × n matrix.
Thus, the matrix A is non symmetric.
(b) B = C-CT
So, matrix D will also be a n × n matrix.
Thus, the matrix D is non symmetric.
(c) D = CTC = (CT) × C
Then the product CT will be a n × n matrix.
The next step would be to multiply CT and C.
Both are n × n matrices.
Thus, the matrix D is symmetric.
(d) E = CTC - CCT
Then he product CT will be a n × n matrix.
Similarly, the product CT will be a n × n matrix.
Thus, the matrix E is non symmetric.
Similalry,
(e) F = (I +C)(I + CT
Thus, the matrix F is symmetric.
(f) G = (I +C)(I -CT)
Thus, the matrix G is symmetric.
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Determine whether the origin is included in the shaded region and whether the shaded region is above or below the line for the graph of the following inequality:
A) The origin is not included in the shaded region and the shaded area is below the line.
B) The origin is included in the shaded region and the shaded area is above the line.
C) The origin is included in the shaded region and the shaded area is below the line.
D) The origin is not included in the shaded region and the shaded area is above the line.
Answer:
D: The origin is not included in the shaded region, and the shaded area is above the line.
Step-by-step explanation:
First of all, let's find the shaded region for our given inequality:
y > ⅓x +4
To determine whether the origin is included in the shaded region, let's put in the value of x and y at the origin (0,0)
Plugging in x = 0 and y = 0 into the inequality gives;
0 > ⅓(0) + 4
0 > 4
0 is not greater than 4 like it states and thus it is false
Therefore, we conclude that the point (0,0) which is the origin is not included in the shaded region
In the inequality we have the symbol ">" which means greater than. For that symbol, we usually shade above the line on the inequality graph.
The only option that corresponds to our answers is option D
Answer: D
Step-by-step explanation:
All points of the step function f(x) are graphed. What is the domain of f(x)?
Figure ABCD is similar to figure WXYZ. Which proportion must be true for these figures?
Answer:
Polygon WXYZ is the same shape and size as polygon ABCD. Each side of WXYZ is double the length of ABCD. The ratio of the length of each side of WXYZ to its corresponding side of ABCD is 2. A characteristic of figures that have the same shape is that ratios of corresponding sides are equal.
Step-by-step explanation:
At colleges in Jacksonville, do tennis coaches generally get paid more than football coaches?
It is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a Wide range of factors
As an AI language model, I do not have access to up-to-date information about salaries of coaches in Jacksonville. However, in general, the salaries of coaches vary widely depending on a number of factors, such as the type of sport, the level of competition, the location, the success of the team, and the budget of the institution.
In terms of tennis and football, football is generally considered to be a more popular and high-profile sport than tennis in the United States, which could result in higher salaries for football coaches at the collegiate level. Football also typically generates more revenue and has larger budgets for athletic programs, which could also influence the salaries of coaches.
However, there are also factors that could affect the salaries of tennis coaches. For example, if a tennis program has a particularly successful season or has produced successful players, the coach may negotiate a higher salary. Additionally, some colleges may place a greater emphasis on tennis or have larger budgets for tennis programs, which could also impact the salaries of coaches.
Overall, it is difficult to make a general statement about whether tennis coaches generally get paid more than football coaches in Jacksonville or elsewhere, as the salaries of coaches are influenced by a wide range of factors. It is also important to note that salaries can vary widely between individual institutions, even within the same sport, and that negotiations between coaches and their institutions can play a significant role in determining salaries.
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Which planet has these characteristics?
- has two moons that orbit it
- has dust storms on its surface as well as ice
- has seasons
Earth
Venus
Mercury
Mars
The board game Life has a spinner with 10 equal spaces. What is the probability of NOT landing on the number 8?
The probability of not landing on the number 8 is 9/10.
What is probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.Given is a the board game life has a spinner with 10 equal spaces.
Probability of getting a 8 -
P{E} = 1/10
Probability of not getting a 8 -
P'{E} = 1 - P{E} = 1 - 1/10 = 9/10
P'{E} = 9/10
Therefore, the probability of not landing on the number 8 is 9/10.
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