Answer:
B.
Step-by-step explanation:
Using the formula
S = r∅
Where s is Arc length,l
R is radius
∅ is radian measure for angle RAD
Substituting
L = R∅
So
∅ = L/R
please help
look at the image
The value of x from the given figure is 19. Therefore, option C is the correct answer.
From the given figure, angles are (7x-8)° and (6x+11)°.
What are vertically opposite angles?Vertical angles are the angles formed when two lines intersect each other. The opposite angles formed by these lines are called vertically opposite angles.
Here, (7x-8)° = (6x+11)° (Vertically opposite angles are congruent to each other)
⇒ 7x-6x=11+8
⇒ x=19
The value of x from the given figure is 19. Therefore, option C is the correct answer.
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Round 67.981468373 to 1 decimal place
Answer:
67.1
Step-by-step explanation:
You would see if the 3 can go into the seven and seven into three to make it 4, 4 into eight 8 into 6 to make it 7 and then when you get to eight you would round it up into nine to make it 10.
Answer:
68.0
Step-by-step explanation:
67.981468373
68
a statistics student is trying to decide whether she should take a gamble and play bingo. the average bingo player earns $9 per game, distributed normally, with a population standard deviation of $8. if a sample of 25 bingo players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below.
Select all that apply: 0; = $0.32 0; = $8 O = $1.60 Mi = $9 Hi = $1.80
The expected mean of the sampling distribution and the standard deviation of the sampling distribution is $29.50.
Standard deviation
In statistics, standard deviation refers the square root of variance by determining each data point's deviation relative to the mean.
Given,
Here we know that a statistics student is trying to decide whether she should take a gamble and play bingo. And the average bingo player earns $9 per game, distributed normally, with a population standard deviation of $8.
And we need to find if a sample of 25 bingo players are selected at random from the population, select the expected mean of the sampling distribution and the standard deviation of the sampling distribution below.
0; = $0.32 0; = $8 O = $1.60 Mi = $9 Hi = $1.80
Here the standard deviation of the sample distribution is calculated as,
=> σₓ = √1.80 = 1.34
Here we know that the distribution is normal then the mean of the sampling distribution is equal to the mean of the population, based on this theory, the resulting value is $29.50.
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Select the correct answer. What is 2 1/2 divided by 1/3? A. 3 1/2 B. 7 1/2 C. 7 1/6 D. 2/15
Answer:
the answer is 7 and a half so it would be B
A box of jerseys for a pick-up game of basketball contains 9 extra-large jerseys, 6 large jerseys, and 5 medium jerseys. If you are first to the box and grab 3 jerseys, what is the probability that you randomly grab 3 medium jerseys? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Answer:
1/114 or 0.008772
Step-by-step explanation:
I am not very sure, my answer seems unlikely, but here's what I think:
There are 20 jerseys in the box to begin with, and 5 medium jerseys that you can have.
Therefore, the probability of you randomly grabbing a medium sized jersey is 5/20 or 1/4.
After taking out one medium sized jersey, there are 19 jerseys in the box and 4 medium jerseys you can pick from.
The probability of you randomly grabbing a medium sized jersey is 4/19.
After taking out another medium sized jersey, there are 18 jerseys left in the box and 3 medium jerseys you can pick from.
The probability of you randomly grabbing a medium sized jersey is 3/18.
To get the answer, you do 1/4 * 4/19 * 3/18, and get 1/114, or 0.00877192982.
If you round that to the nearest millionth, it's 0.008772
Don't judge me, it might not be correct.
A line passes through the point (0,1) and has a positive slope. Which of these points could that line NOT pass through?
Answer:
(-3, 1)
(5,-2)
Step-by-step explanation:
Two identical gardens are to be weeded, each by a two-person team. Team A includes one gardener who could weed the garden in 2 h and another who could weed the garden in 4 h. Team B includes two gardeners, either of whom could weed the garden in 3 h. Which team will finish first? Explain.
Step-by-step explanation:
Team A time is 1 garden / ( 1 garden/ 2 hr + 1 garden/4 hr) = 1 1/3 hr
Team B = 1 / ( 1/3 + 1/3) = 1 1/2 hr
Team A wins !
Jason provided the following work when asked to convert 0.105 to its
simplest fraction form.
1. Why did Jason get the problem wrong?
2. Provide the work for properly writing the decimal in its simplest fraction
form.
Jason's Work:
0.105=
105/1000
21/200
Jason provided the work when asked to convert 0.105 to its simplest fraction form which is; 21/200
How to convert from decimal to fraction?For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. To get the decimal of the form a.bcd, we will count the digits that are there after the decimal point; then we write 10 raised to that many power as the denominator and the considered number without any decimal point as the numerator.
Given that Jason's Work:
0.105
Jason provided the work when asked to convert 0.105 to its simplest fraction form which could be;
0.105 = 105/1000
= 21/200
Hence, Jason provided the work when asked to convert 0.105 to its simplest fraction form which is; 21/200
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The area of a circle is 4/pi cm. What is the circumference in centimeters express your answers in terms of pi
Answer:
4 cm.
Step-by-step explanation:
Area = pi r^2, so:
pi r^2 = 4 / pi
(pi)^2 r^2 = 4
r^2 = 4/ (pi^2)
r = 2/pi
Therefore, the circumference
= 2 pi r
= 2* pi * 2/pi
= 4
Destiny checked the remaining stock for each garment sold at the store where she worked.
For 7 garments, there remained:
5 items 4 items 5 items 3 items 8 items 5 items 5 items
What was the mean amount of remaining stock?
The mean of the remaining stock is 5
How to find the meanTo find the mean amount of remaining stock, we need to add up the amounts of remaining stock for each garment and divide by the total number of garments.
So, we can start by adding up the amounts of remaining stock:
5 + 4 + 5 + 3 + 8 + 5 + 5 = 35
Now we can divide by the total number of garments (which is 7) to find the mean:
35 / 7 = 5
Therefore, the mean amount of remaining stock is 5.
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-5 1/4 -(-7 1/2) simplify
really fast pleas
.The rate of income tax increases from 15.2% to 20.9%.due to this Gaurav had to pay
5.55% more tax than previous year. but simultaneously income of Gaurav also decreases
by 18400 Rs. find income of Gaurav last year
Answer:
Step-by-step explanation:
I can prove that 2=1, where is the error?
X = 1
X+X = 1+X
2x = 1+X
2x = X+1
2X-2 = X+1-2
2x-2 = X-1
2 (x-1)/(x-1) = X-1/X-1
2 times 1 = 1 1-1 / 1-1
2 = 1
I subtracted -2
because thats the # I chose to subtract with.
The mistake is when you try to divide by X - 1, because you can't divide by zero.
Where is the problem in this procedure?Here we start by defining:
X = 1
The second step makes sense, we are adding the same value in both sides:
X + X = X + 1
2X = X + 1
Now subtract 2 in both sides:
2X - 2 = X + 1 - 2
2X - 2 = X - 1
Here is the mistake, you divide both sides by X - 1
But we already defined that X = 1
Then you are trying to divide by zero, and that opeartion is not defined, that is why you reach a false equation.
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Find Matrix mixed questions
The only matrix that is certainly symmetric is a)\((a^2 - b^2).\)
We know that a matrix A is symmetric if it is equal to its transpose, that is \(A = A^T.\)
a) \((a^2 - b^2)\)
We can write the transpose of this matrix as
\((a^2 - b^2)^T = (a^2)^T - (b^2)^T = a^2 - b^2\), which is equal to the original matrix. Therefore, this matrix is symmetric.
b) (A+B)(A-B)
Expanding this expression, we get \((A+B)(A-B) = A^2 - AB + BA - B^2.\)
Taking the transpose of this, we get \((A^2)^T - (AB)^T + (BA)^T - (B^2)^T = A^2 - BA + AB - B^2.\)
Since AB and BA may not be equal, we cannot say for certain that this matrix is symmetric.
c) ABA
Taking the transpose of this matrix, we get\((ABA)^T = A^T B^T A^T\). Since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
d) ABAB
Taking the transpose of this matrix, we get \((ABAB)^T = B^T A^T B^T A^T\). Again, since \(A^T and B^T\) may not commute, we cannot say for certain that this matrix is symmetric.
Therefore, the only matrix that is certainly symmetric is a) \((a^2 - b^2).\)
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a desert tray has three slices of cake, three key lime pies, and four ice cream sundaes. What is the probability of the next two customers both select key lime pie?
Answer:
The probability of the next two customers both select key lime pie is 1/15
Step-by-step explanation:
No. of slices of cakes = 3
No. of key lime pies = 3
No. of ice cream sundaes = 4
Total deserts = 3+3+4=10
We are supposed to find The probability of the next two customers both select key lime pie
Probability of selecting key lime pie by first customer =\(\frac{3}{10}\)
So,Total deserts =10-1=9
No. of key lime pies = 3-1=2
So,Probability of selecting key lime pie by second customer = \(\frac{2}{9}\)
So,the probability of the next two customers both select key lime pie=\(\frac{3}{10} \times \frac{2}{9} =\frac{1}{15}\)
Hence the probability of the next two customers both select key lime pie is 1/15
I really need help with this
Answer:
Step-by-step explanation:
Statement Reason
PR ≅ TR Given
<PQR≅<TSR Given
<PRQ≅<TRS Vertical Angles Theorem
PQR=TSR SAS Theorem (Side-Angle-Side)
Last year there were 1,435 8thgrade students enrolled at your school. This year there are 1,220. What is the percent change in the number of 8thgrade students?
Hi there!
Answer:
-14.98%(or -15%).
Step-by-step explanation:
1)To find the percent decrease,all you have to do is minus the original number from the decreased amount so:
1435-1220= 215
2)Then you divide this answer by the original number again so:
215÷1435= 0.1498
3)Then you times the decimal by 100 so:
0.1489x100= -14.98%(or -15%).
Hope this helps!
Someone please help me asap.
The equation of the relationship is f(200) = 0.75 * 200
Writing the equation of the relationshipFrom the question, we have the following parameters that can be used in our computation:
Total number of drinks = 200
Cost of each drink = 0.75
Using the above as a guide, we have the following:
f(x) = Cost of each drink * Total number of drinks
Where
f(x) = Total cost
Substitute the known values in the above equation, so, we have the following representation
f(200) = 0.75 * 200
Hence, the equation is f(200) = 0.75 * 200
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In a random sample of 100 students from a large high school, 37 regularly bring a reusable water bottle from home. Which of the following gives the correct value and interpretation of the standard error of the sample proportion? (a) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.095 from the true proportion. (b) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home will be at most 0.048 from the true proportion. is ne (c) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.095 from the true proportion.
(d) In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion (e) There is not enough information to calculate the standard error.
The standard error tells us how much we can expect the sample proportion to vary from the true proportion in repeated samples of the same size. Option (d) correctly states that "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion." This means that if we were to take many samples of 100 students from the same school and calculate the proportion of students who bring a reusable water bottle from home in each sample, about 95% of the sample proportions would fall within +/-0.048 of the true proportion.
What is the best interpretation of the standard errorThe correct option is (d) "In samples of size 100 from this school, the sample proportion of students who bring a reusable water bottle from home typically varies by about 0.048 from the true proportion."
The standard error of the sample proportion can be calculated using the formula:
SE = √[p*(1-p) / n]
where p is the sample proportion and n is the sample size.
In this case, the sample proportion is 37/100 = 0.37 and the sample size is 100. Plugging in these values, we get:
SE = sqrt[0.37*(1-0.37) / 100] = 0.048
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!NO LINKS, NO FILES!
please :)
Answer:
6
Step-by-step explanation:
Recall the area of a triangle formula
\(A=\frac{bh}{2}\) where b = base and h = height
The triangle shown has a height of 4cm and a base length 3cm
Using this information we plug in the values into the formula
\(A=\frac{4*3}{2} \\4*3=12\\\frac{12}{2} =6\)
Hence, the area of the triangle is 6 square centimeters
Answer:
Ok so the area of the triangle is 6
Step-by-step explanation:
a= 1/2 bh
a= 1/2 * 3 * 4
a= 1/2 * 12
a= 6
Find the value of each variable . The dot represents the center of the circle .Lines that appear tangent are tangent a=29B= I just need part B don't do A please thank u
a = 29°
c = 40°
b = 61°
Explanation:
The intercepted arc = 2 × inscribed arc
The intercepted arc = 58°
inscribed arc = a°
58° = 2(a°)
58 = 2a
a = 58/2
a = 29°
The intercepted arc = 80°
inscribed arc = c°
80 = 2(c°)
80 = 2c
c = 80/2
c = 40°
58° + the unknown arc = 180° (angle on a straight line)
the unknown arc = arc after 58 degrees towards m
the unknown arc = 180° - 58°
the unknown arc = 122°
b = 1/2(unknown arc)
b = 1/2(122)
b = 61°
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, what is the width of the rug?
The width of the rectangular rug is 13 feet and the length of the rectangular rug is 26 feet.
What is the step to calculate the area of the rectangle?Area of a rectangle formula: A = L * W. A
rectangle's length and width are multiplied to produce its area.
A is the area, L is the length, and W is the width or girth, where
A = L * W.
The corresponding sides of the rectangular rug and the rectangular floor must be proportional if they are alike.
Let's use "x" to represent the rug's width. The floor measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet according to the details provided. Since the rug and the surface are comparable, we can establish the following ratio:
Rug width/floor width = rug length/floor length
x / 26 = rug's length / 32
We can cross-multiply and then solve for "x" to find the answer:
32x = 26 * Rug's length
x = (26 * Rug Length) / 32
\(= \frac{26 * 16}{32} \\= \frac{26}{2} \\= 13\)
Therefore x ( the width of the rug) is = 13 feet.
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Complete question:
The rectangular rug is similar to the rectangular floor. If the floor of the room measures 32 feet in length and 26 feet in width, and the length of the rug is 16 feet, what is the width of the rug?
HELP PLS!!! Determine the type of triangle that is drawn below.
Answer:
Isosceles right triangle
Step-by-step explanation:
Right isosceles has a 90° degree angle with two other sides 45° each
===========================================================
Explanation:
Sides AB and AC are the same length (5.61), so the triangle is isosceles. If all three sides were the same, then it would be equilateral, but side BC is a different length of the first two sides mentioned. If all sides were different, then the triangle would be scalene.
Angle A is 90 degrees, making it a right angle. That means triangle ABC is also a right triangle. The triangle would be acute only when all three angles are less than 90. If any angle is greater than 90, then the triangle is obtuse.
So put together, triangle ABC is both isosceles and a right triangle, or in short we could say "triangle ABC is an isosceles right triangle".
I need help :( Pleaseeeeeee
Answer:
-5
Step-by-step explanation:
-15/-3
-5
If im wrong sorry :(
Step-by-step explanation:
the answer is -63 lol for some reason it said i need 20 letters to answer your question but there you go -63
10-5: Practice Buddy answers
Answer:
Step-by-step explanation:
Suppose your parents are helping you invest money to save for the future. They open an account foryou in January with an initial deposit of $200 that is compounded monthly at a rate of 3.6%. From nowon, at the end of each month, you will deposit $200. How much money will be in your account at theend of the year?
Lets go over every month:
First deposit: $200
At the end of january we will have earned the interests of the month
January: $200*(1 + 0.036) = $207.2
For the next month we will have $207.2 plus the new deposit of $200. That will be 407.2. Then, at the end of february, we will earn the interests with this amount.
February: $407.2*(1 + 0.036) = $421.86
We can continue with this logic until the end of the year:
March: ($421.86 + $200)*1.036 = $644.25
April: ($644.25 + $200)*1.036 = $874.643
May: ($874.643 + $200)*1.036 = $1113.33
June: ($1113.33 + $200)*1.036 = $1360.61
July: ($1360.61 + $200)*1.036 = $1616.79
August: ($1616.79 + $200)*1.036 = $1882.2
September: ($1882.2 + $200)*1.036 = $2157.15
October: ($2157.15 + $200)*1.036 = $2442.01
November: ($2442.01 + $200)*1.036 = $2737.13
December: ($2737.13 + $200)*1.036 = $3042.86
At the end of the year, the account will have $3042.86
An arithmetic sequence begins with 39, 32, 25, 19, 12 … Which option below represents the formula for the sequence? f(n) = 32 − 7(n) f(n) = 32 + 7(n − ) f(n) = 39 − 7(n − 1) f(n) = 32 + 7(n − 1)
The formula that represents the arithmetic sequence is f(n) = 32-7(n-1) (optionC)
What is Arithmetic sequence?An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term. For example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6. An arithmetic sequence can be known as an arithmetic progression.
The formula for the nth of an arithmetic sequence is a(n) = a+(n-1)d. Where d is the common difference and n is the number of terms.
In the sequence 39, 32, 25, 19, 12,. The first term is 32 and the common difference is 32-39= -7.
Therefore the formula for the sequence is formed by inserting the values of a and 7.
f(n) = 32+(n-1)-7
f(n) = 32-7(n-1)
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Answer:
f(n) = 39-7(n-1)
Step-by-step explanation:
Trust I took test
how would I find the equation of this graph
Answer:
y = sec(x-2) - 1
Step-by-step explanation:
We can determine the graph is of a secant by the repeating parabolas. From there, graph sec(x) and add the transformations necessary to replicate the graph.
Crane Corporation is considering purchasing a new delivery truck. The new truck would cost $55,440. The new truck is expected to generate a cost savings of $7,700. At the end of 8 years, the company will sell the truck for an estimated $27,600.
Traditionally the company has used a rule of thumb that a proposal should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life. Larry Newton, a new manager, has suggested that the company should not rely solely on the payback approach, but should also employ the net present value method when evaluating new projects. The company's cost of capital is 8%.
a) Compute the cash payback period and net present value of the proposed investment.
b) Does the project meet the company's cash payback criteria?
c) Does it meet the net present value criteria for acceptance?
A. The payback period is 7.2 years. The net present value of the proposed investment is 3720.55.
B. No, the project does not meet the company's cash payback criteria.
C. Yes, the project does meet the net present value criteria for acceptance.
How do we solve for the net present value of the proposed investment?A. The truck costs $55,440 and generates annual cost savings of $7,700. So the payback period is the cost of the truck divided the expected amount the truck will generate.
$55,440 / $7,700 = 7.2 years
To solve for the net present value, we say
Net Present Value = ∑ [(Cash inflow in period t) / (1 + \(r^{t}\)] - Initial Investment.
NPV = (($7,700 / (1 + 0.08)¹) = 7 129.63
+ ($7,700 / (1 + 0.08)²) = 6601.51
+ .($7,700 / (1 + 0.08)³ = 6112.51
+ ($7,700 / (1 + 0.08)⁴) = 5659.73
+ ($7,700 / (1 + 0.08)⁵) = 5240.49
+ ($7,700 / (1 + 0.08)⁶) = 4 852.31
+ ($7,700 / (1 + 0.08)⁷) = 4492.88
+($7,700 / (1 + 0.08)⁸) = 4160.07
+ ($27,600 / (1 + 0.08)⁸)) = 14911.42
- $55,440
We add all these values together and subtract by $55,440
7 129.63 + 6601.51 + 6112.51 + 5659.73 + 5240.49 +4 852.31 + 4492.88 + 4160.07 + 14911.42 - $55,440
59160.55 - 55,440
NPV = 3720.55
B. The cash payback period of the project is 7.2 years. The company's cash payback criteria state that a project should not be accepted unless it has a payback period that is less than 50% of the asset's estimated useful life, which would be 4 years which is 50% of 8 years. Since 7.2 years is greater than 4 years, the project does not meet the company's cash payback criteria.
C. The positive NPV of $3,720.55 shows that embarking on the prooject will be valuable to the company. This means the project meets the NPV criteria for acceptance.
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The equation m=3b represents the times in minutes (m) it takes a chef to cook a certain number of bacon cheeseburgers (b) A: 3 B: 6 C:1/3 D: 1
For the given equation:
m = 3b
The constant of proportionality is 3, so the correct option is A.
How to determine the constant of proportionality?
After a small search on the internet, I've found that this question asks for the constant of proportionality.
Remember that a proportional relation is of the form:
y = k*x
Where k is the constant of proportionality, and x and y are the variables.
Here the relation is:
m = 3*b
Where m and b are the variables, then the remaining coefficient is the constant of proportionality, which is 3.
In this way, we can see that the correct option is A.
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