Since the length of the wire covers two complete circles with given diameters, the total length is 201.15 cm.
How the total length is determined:The circumference of a circle gives the total length of the circle.
We can determine the circumference or total length using the circumference with diameter formula as follows:
Circumference = πd
Where π = pi or 3.143 or 22/7
d = diameter = 32 cm
Circumference = 3.143 x 32 = 100.576
There are two complete circles involved, giving the total length of the wire as 201.15 cm (100.576 x 2).
Thus, we can conclude that the length of the wire (or the two circumferences of the circles) is 201.15 cm.
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what is 1090 divided by 3
Answer:
The answer is 363 and 1/3, or 363.3333...
Step-by-step explanation:
Please give brainliest
The value of 1090 ÷ 3 is 363.33333.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
1090 ÷ 3
= \(\frac{1090}{3}\)
Or
3 ) 1090 ( 363
9
19
18
10
9
1
Remainder = 1
Thus,
The value of 1090 ÷ 3 is 363.33333.
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1. Name the triangle in six different ways.
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2. What are the vertices of the triangle?
3. What are the angles of the triangle?
4. What are the sides of the triangle?
5. What is the sum of the measures of the angles of the triangle?
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Answer:
explicate we nmms ja saludos 1 mas 2 son 3 xd quien juega free
Step-by-step explanation:
find three positive numbers whose sum is 220 and whose product is a maximum. (enter your answers as a comma-separated list.)
x = y = z = 73.33 are three positive numbers whose sum is 220 and whose product is a maximum.
Using Lagrange's multiplier
It is given that x+ y+ z =220
To maximize product
\(f(x,y,z)=x*y*z\)
And the constraint is
x +y +z=220
\(g(x,y,z)=x+y+z-220\)
And the gradients are:
\(\nabla{f}=(xy,yz,xz)\)
\(\nabla{g}=(1,1,1)\)
Their relation is:
\(f=\lambda\nabla{g}\)
\((xy,yz,zx)=\lambda(1,1,1)\)
we get,
\(xy=yz=zx=\lambda\)
Thus x=y=z
3x=220
x=220/3=73.33
Hence x = y = z = 73.33
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What are two differnt ways of factoring -3x-9?
Answer:
\(-3(x+3)\)
Factor the expression
\(-3x-9\)
\(-3(x+3)\)
I hope this helps you :D
Answer:
Hello
Step-by-step explanation:
Two different ways are:
–3(x + 3) & 3(–x – 3)
Hope this helps, please give me an brainliest
Rating agencies-such as Standard \& Poor's (S\&P) and Moody's Investor Service-assign credit ratings to bonds based on both quantitative and qualitative factors. These ratings are considered indicators of the issuer's default risk, which impacts the bond's interest rate and the issuer's cost of debt capital. Based on these ratings, bonds are classified into investment-grade bonds and junk bonds. Which of the following bonds is likely to be classified as an investment-grade bond? A bond with 30% return on capital, total debt to total capital of 15%, and 6% yield A bond with 10% return on capital, total debt to total capital of 85%, and 13% yield You heard that rating agencies have upgraded a bond's rating. The yield on the bond is likely to Assume you make the following investments: - A $10,000 investment in a 10-year T-bond that has a yield of 14.00% - A $20,000 investment in a 10-year corporate bond with an A rating and a yield of 18.20% Based on this information, and the knowledge that the difference in liquidity risk premiums between the two bonds is 0.40%, what is your estimate of the corporate bond's default risk premium? 4.18% 5.32% 5.70% 3.80%
In this context, a bond with 10% return on capital, total debt to total capital of 85%, and 13% yield is likely to be classified as a junk bond. Therefore, the correct option is option 2.
The estimate of the corporate bond's default risk premium is 3.80%. Therefore, the correct option is D.
An investment-grade bond is a bond that has a low chance of default, while a junk bond is a bond with a higher chance of default. The bond with 10% return on capital, total debt to total capital of 85%, and 13% yield has a higher chance of defaulting, so it is more likely to be classified as a junk bond.
Based on the given information, the bond's yield is likely to decrease after its rating has been upgraded. This is because a higher rating indicates a lower default risk, so investors would be willing to accept a lower yield.
The corporate bond's default risk premium can be estimated using the following formula:
Default risk premium = Yield on corporate bond - Yield on Treasury bond - Liquidity risk premium = 18.20% - 14.00% - 0.40%= 3.80%
Therefore, the corporate bond's default risk premium is 3.80%. Option D is the correct answer.
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During the first hour that an amusement park was open 182 people rode the roller coaster. During the second hour 307 people rode the roller coaster. After the third hour, a total of 921 people had ridden the roller coaster. Estimate how many people rode the roller coaster in the third hour.
Answer:
A. 400
Step-by-step explanation:
answer^
432 people rode the roller coaster in the third hour.
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.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
182 people rode the roller coaster.
307 people rode the roller coaster.
A total of 921 people had ridden the roller coaster.
So, Number of people rode the roller coaster
= 921 - 182 - 307
= 432
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the power rule can be proved using implicit diferentiation for the case where n is a rational numer, n = p/q and y = f(x) =x^n is assumed beforehand to be a differentiable function. If y = x^p/q, then y^q=x^p. Use implicit differentiation to show that y’ = p/qx^p/q-1
The derivative of y = \(x^(p/q)\) with respect to x is y' =\((p/q)x^(p/q-1)\) and this is proved with the help of power rule using implicit differentiation
To understand the proof of the power rule using implicit differentiation, let's start by considering the equation y = x^(p/q), where p and q are integers. We want to find the derivative of y with respect to x, denoted as y'.
Step 1: Take the qth power of both sides of the equation.
By raising both sides of the equation y = \(x^(p/q)\) to the power of q, we obtain \(y^q = (x^(p/q))^q = x^p.\)
Step 2: Differentiate both sides of the equation implicitly.
To find the derivative of y with respect to x, we differentiate both sides of the equation \(y^q = x^p\) with respect to x using the rules of differentiation.
On the left-hand side, we have a composition of functions: \(y^q\). By applying the chain rule, we differentiate the outer function \(y^q\) and multiply it by the derivative of the inner function y with respect to x.
On the right-hand side, we have\(x^p\), which we can differentiate directly using the power rule.
Differentiating \(y^q\):
\(d/dx\)\((y^q)\) = \(q(y^(q-1)) * (dy/dx).\)
Differentiating \(x^p\):
\(d/dx (x^p) = px^(p-1).\)
Step 3: Solve for y'.
Setting the derivatives equal, we have \(q(y^(q-1)) * (dy/dx) = px^(p-1).\) Now, we solve for dy/dx (which is y').
Dividing both sides of the equation by \(q(y^(q-1))\), we get:
\((dy/dx) = (px^(p-1))/(q(y^(q-1))).\)
Simplifying further, we can write y' as:
\(y' = (p/q)x^(p-1).\)
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Which postulate can be used to prove the two triangles are congruent if you know that
UQ ≅ AC and QD ≅ AU
The postulate that can be used to prove the two triangles are congruent is (c) None of the other answers are correct
How to prove the congruency of the trianglesThe figure represents the given parameter
There are two triangles in the figure
Such that the triangles are similar triangles or congruent
From the question, we understand that the triangles are congruent
Also, we know that
UQ ≅ AC and QD ≅ AU
There is no point C on any of the triangles
This means that we cannot ascertain the congruency of the triangles
Hence, the true statement is (c)
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The variance of a group of scores is 9. What is the standard deviation? a) 3 b) 4.5 c) 81
The standard deviation is the square root of the variance. Therefore, in this case, the standard deviation is the square root of 9, which is equal to 3. So the answer is a) 3.
The standard deviation is a statistical measure of how far a set of data values deviates from the mean (average) of the data set. It assesses how dispersed the data is in relation to the mean. In other words, it informs us how far the individual data points depart from the data set's average. A large standard deviation implies that the data is widely dispersed from the mean, whereas a small standard deviation suggests that the data is tightly grouped around the mean. Standard deviation is symbolised by the symbol σ for the population and s for a sample. It is widely used to analyze and understand data in a variety of domains, including finance, economics, physics, biology, and social sciences.
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Triangles F G H and F J H share common side F H. Sides F G and G H are congruent. Sides F J and J H are congruent.
Which explains whether ΔFGH is congruent to ΔFJH?
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
They are congruent because opposite sides of a parallelogram are congruent.
They are not congruent because only one pair of corresponding sides is congruent.
They are not congruent because only two pairs of corresponding sides are congruent.
Answer:
They are congruent because GH ≅ GF, JF ≅ JH, and FH ≅ FH.
Step-by-step explanation:
If the forecast for two consecutive periods is 1,500 and 1,400 and the actual demand is 1,200 and 1,500 , then the mean absolute deviation is 1) 500 2) 700 3) 200 4) 100
200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
How to calculate the mean absolute deviation
The absolute difference between the predicted and actual values must be determined, added together, and divided by the total number of periods.
Forecasted values are as follows: 1,500 and 1,400
Values in actuality: 1,200 and 1,500
Absolute differences:
|1,500 - 1,200| = 300
|1,400 - 1,500| = 100
Now, we calculate the MAD:
MAD = (300 + 100) / 2 = 400 / 2 = 200
Therefore, 200 is the mean absolute deviation. Therefore, choice three (200) is the right one.
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How do you find the x and y intercepts of an equation to find the x-intercept substitute 0 for X to find the y-intercept substitute 0 for X?.
Substitute 0 for y to find the x-intercept and Substitute 0 for x to find the y-intercept.
This is obvious because if y is set to 0, the only variable left is x (indicating that the x intercept has been found), and vice versa.
We set y = 0 and solve the equation for x to find the x-intercept. This is because the line crosses the x-axis when y=0. When an equation is not in the form y = mx + b, we can solve for the intercepts by plugging in 0 and solving for the remaining variable. Set x = 0 and solve for y to find the y-intercept.
The line crosses the x-axis when y=0. When an equation is not in the form y = mx + b, we can solve for the intercepts by plugging in 0 and solving for the remaining variable. Set x = 0 and solve for y to find the y-intercept.
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1/9 + -5/9 PLEASE HELP
Answer:
-4/9
Step-by-step explanation:
Let f(x) = - x ^ 3 - (4x - 1) Find f(- 5)
Answer:
146
Step-by-step explanation:
replace every x with -5
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring.
a. True
b. False
The probability of the union of two events occurring can never be more than the probability of the intersection of two events occurring, this statement is false.
The union of two or more sets refers to the set with all the elements belonging to each set. An element is said to be in the union if it lies to at least one of the sets.
The intersection of two or more sets refers to the set of elements universal to each set. An element is in the intersection if it occurs in all of the sets.
The event that both A and B occur is the intersection of the events A occurs and B occurs. As such, it is a subset of each and cannot, therefore, have a larger probability than either one individually.
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Recipe B uses 9 ounces of flour to make 12 servings of dough. How many flour is in per serving?
Answer:
Step-by-step explanation:
9/12 ounce = 3/4 = .75 ounce flour
Please help me with this cuz I don't know what to do
Answer:
x = 3
Step-by-step explanation:
a hospital director is told that 56% of the emergency room visitors are insured. the director wants to test the claim that the percentage of insured patients is below the expected percentage. a sample of 160 patients found that 80 were insured. determine the p-value of the test statistic. round your answer to four decimal places.
The p-value of the test statistic will be equal to -1.5.
What is Test statistic?A statistic employed in statistical hypothesis testing is known as a test statistic. A hypothesis test is often defined in terms of a test statistic, which can be thought of as a numerical summary of a data set that distils the information into a single value that can be used to conduct the test.
The formula for test statistics:
Test statistic = z =
A sample of patients n = 160
Patients insured =x =80
P = x/n
P = 80/ 160
P = 1/2
P = 0.5
P₀ = 56/100
P₀ = 0.56
Putting the values we get:
\(Z =\dfrac{P-P_o}{\sqrt{\dfrac{P_o-(1-P_o)}{n}}}\)
\(Z =\dfrac{0.5-0.56}{\sqrt{\dfrac{0.56-(1-0.56)}{150}}}\)
Z= -0.06/0.04
Z = - 1.5
Therefore, the p-value of the test statistic will be equal to -1.5.
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6 - 4 (6n + 7 ) > 122 giving brainlest to whoever shows work
Answer:
n<-6
Step-by-step explanation:
6-24n-28>122
-22-24n>122/:(-2)(devide the whole equation by (-2), when u devide by a negative number > changes to <)
11+12n>-61
12n<-72
n<-6
PLEASE HELP MEEEEEEEEEEE
A foreign exchange student from Denmark would like to buy gifts for her family. She finds a special deal, 7 t-shirts for $90.93, that she would like to purchase for her family. However, her family only consists of 5 people. If she wants to purchase 5 t-shirts for her family members at that special rate, what would be the cost of these t-shirts in her currency of Krona? (Currency conversion rate is 1 U.S. Dollar = 8.6964 Krona)
564.831 Krona
112.966 Krona
64.95 Krona
12.99 Krona
Answer:
564.831 Krona
Step-by-step explanation:
Step one: Find the price for 1 shirt
90.93 divided by 7 will give you the price
90.93 divided by 7 = 12.99
Step two: find the cost of the 5 shirts
12.99 x 5 = 64.95
Step three: Convert the USD to Krona
64.95 x 8.6964 = 564.83118
I got 564.83118 but i guess they rounded it so Imma say its A. 564.831 Krona
I positive this is the correct answer hope this helps!
If you draw four cards at random from a standard deck of 52 cards, what is the probability that all 4 cards have distinct characters (letters or numbers)
There are \(\binom{52}4\) ways of drawing a 4-card hand, where
\(\dbinom nk = \dfrac{n!}{k!(n-k)!}\)
is the so-called binomial coefficient.
There are 13 different card values, of which we want the hand to represent 4 values, so there are \(\binom{13}4\) ways of meeting this requirement.
For each card value, there are 4 choices of suit, of which we only pick 1, so there are \(\binom41\) ways of picking a card of any given value. We draw 4 cards from the deck, so there are \(\binom41^4\) possible hands in which each card has a different value.
Then there are \(\binom{13}4 \binom41^4\) total hands in which all 4 cards have distinct values, and the probability of drawing such a hand is
\(\dfrac{\dbinom{13}4 \dbinom41^4}{\dbinom{52}4} = \boxed{\dfrac{2816}{4165}} \approx 0.6761\)
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
. they decide to run a test of significance, and will change the parameters for the character only if they get a highly significant result. in a simple random sample of 400 contests involving the character, it won 232 times. should they adjust the parameters to weaken that character?
No, they should not adjust the parameters to weaken that character based on this sample alone.
To make a decision about adjusting the parameters of a character based on a test of significance, we need to determine if the observed outcome (winning 232 out of 400 contests) is unlikely to occur by chance alone, assuming the character's current parameters are the same. This is done by calculating a p-value, which represents the probability of observing a result as extreme or more extreme than the one we observed, assuming the null hypothesis is true (i.e., the parameters are the same).
If the p-value is very small (e.g., less than 0.05), we reject the null hypothesis and conclude that the observed outcome is unlikely to occur by chance alone and that the character's parameters may need to be adjusted. However, if the p-value is not small (e.g., greater than 0.05), we fail to reject the null hypothesis and conclude that the observed outcome is not statistically significant and that the character's parameters may not need to be adjusted.
In this case, we can calculate the p-value using a binomial test. The null hypothesis is that the probability of winning a contest is 0.5 (i.e., the character is equally likely to win or lose). The alternative hypothesis is that the probability of winning is less than 0.5 (i.e., the character is more likely to lose). Using a one-tailed binomial test with a significance level of 0.05, we find that the p-value is approximately 0.013, which is less than 0.05. Therefore, we reject the null hypothesis and conclude that the observed outcome is statistically significant and that the character's parameters may need to be adjusted.
However, it is important to note that this decision should not be based solely on this sample. It is possible that the sample is not representative of the true population of contests involving the character, and that a larger sample may lead to a different conclusion. Therefore, it is important to consider the context of the situation and gather additional information before making a final decision about adjusting the character's parameters.
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what quadrant is 4,6 in?
Answer:
1st quadrant
Pls help I’ll give brainliest
Answer:
B.
yeah. thats the answer.
if a normal distribution has mean 0 and standard deviation 1, what is the 97.5th percentile?
Therefore, the 97.5th percentile of a normal distribution with mean 0 and standard deviation 1 is 1.96.
The 97.5th percentile represents the value below which 97.5% of the data falls. In a normal distribution with mean 0 and standard deviation 1, the 97.5th percentile corresponds to a z-score of 1.96.
A z-score represents the number of standard deviations a data point is from the mean. In this case, a z-score of 1.96 means that the value corresponding to the 97.5th percentile is 1.96 standard deviations above the mean.
Using a standard normal distribution table or calculator, we can find that the area under the curve to the left of a z-score of 1.96 is 0.975. This means that 97.5% of the data falls below a z-score of 1.96.
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1/3x + 2y + 5/3x - 4y pls I have a 0 in math I need help with this
Answer:
2x-2y
Step-by-step explanation:
1/3x + 2y + 5/3x - 4y
= 1/3x + 5/3x - 4y + 2y
=6/3 x -2y
=2x-2y
use the properties of real numbers to help simplify each expression mentally (19+5)+5
Answer:
29
Step-by-step explanation:
19+(5+5)=19+10=29
The solution of the mathematical expression (19 + 5) + 5 will be 29.
What is Associative property?
In the associative property, when two or more than two numbers are added or multiply then the result will be remains same.
Given that;
The mathematical expression is;
⇒ (19 + 5) + 5
Since, In the associative property, when two or more than two numbers are added then the result will be remains same.
Hence, Solve the mathematical expression by using associative property as;
The mathematical expression is;
⇒ (19 + 5) + 5
Solve as;
⇒ 19 + (5 + 5)
⇒ 19 + 10
⇒ 29
Thus, By using associative property of real numbers we get the solution of the expression (19 + 5) + 5 will be 29.
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sorry for bothering u guys so much lol
Step-by-step explanation:
2.5 * 0.3333333333 = 0.83333
3) Are the following points part of the (200) plane? a) (1/2, 0, 0); b) (-1/3, 0, 0); c) (0, 1, 0)
To determine if the given points are part of the (200) plane, we need to check if their coordinates satisfy the equation of the plane.
The equation of a plane in three-dimensional space is typically written in the form Ax + By + Cz + D = 0, where A, B, C, and D are constants. For the (200) plane, the equation would be 2x + 0y + 0z + 0 = 0, which simplifies to 2x = 0. Let's check the given points: a) (1/2, 0, 0): When we substitute x = 1/2 into the equation 2x = 0, we get 2(1/2) = 0, which is true. Therefore, point a) lies on the (200) plane. b) (-1/3, 0, 0): Substituting x = -1/3 into the equation 2x = 0 gives us 2(-1/3) = 0, which is also true. So, point b) is part of the (200) plane. c) (0, 1, 0):When we substitute x = 0 into the equation 2x = 0, we get 2(0) = 0, which is true. Thus, point c) lies on the (200) plane. All three given points (a), b), and c)) are part of the (200) plane.
In conclusion, all three given points (a), b), and c)) are part of the (200) plane.
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