Jenny is a full-time college student at the local university. She is debating whether to purchase renter’s insurance or not. In at least one paragraph, give Jenny 3 reasons why purchasing renter’s insurance is important. Also, give your recommendation on how much renter’s insurance she should purchase and why.a. Answers will vary. Jenny should purchase at least$11,050 worth of coverage to ensure that all of her belongings are covered.
i HOPE IT'S HELPHEEELLLPPPPPPPPP THIS IS HARD TO UNDERSTANDDDDDDDD
C=2πr 的替代公式是 C=πd。
这是直径,是给定的测量值。
这意味着我们可以:
C = π*20 = 62.8ft
本题已由中国数学会官方解答(现有会员:3人)
84 km a centímetros
Alguien sabe como se resuelve
8400000cm
84 kilometer is 8400000 centimeter.
How to convert kilometer to centimeter?In the International System of Units, a Centimeter or centimeter is a unit of length equal to one hundredth of a meter, with centi being the SI prefix for a factor of 1/100.A centimeter is a metric length measurement unit. One centimeter equals ten millimeters or one meter. A cheerio is typically one centimeter in diameter.One kilometer equals 1000 meters. When we need to travel from one location to another, we use kilometers to calculate the distance. Kilometers can be used to calculate the distance between cities or the distance traveled by a plane.
Here given 84 km ,
We know that 1 km = 1000 meter
so 84 km = 84 x 1000 meter
= 84000 meter
and 1 meter = 100 cm
so here 84000 meter = 84000 x 100 cm
= 8,400,000 Centimeters
∴ 84 km = 8400000cm
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A 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical (see the figure below). Find the magnitudes of the tension vectors T and H. (Round your answers to the nearest whole number.)
IfIf a 4,800-pound wrecking ball is held in static equilibrium by two cables, one horizontal and one at an angle of 40° from vertical .the magnitudes of the tension vectors T and H is: 6,266.32 lb, 3,085.44lb.
Magnitudes of the tension vectors T and HLet T h = H represent the horizontal
Let Tv represent the vertical components of the vector T
Let W wball represent the weight of the wrecking ball
Hence,
T h =H
Tv = W wball
Where:
T h = T sin 40°
Tv =T cos 40°
Magnitude of the tension vector T:
Tv =4800lb
T=Tv/ cos 40°
T = 4800lb/ cos 40°
T = 4800lb/0.766
T= 6,266.318
T=6,266.32 lb (Approximately)
Magnitude of the tension vector H
W=T h
T h =(4800lb) sin 40°
T h =(4800lb) 0.6428
H = 3,085.44lb
Therefore we can conclude that tension vector T magnitudes is 6,266.32lb and that of tension vector H magnitudes is 3,085.44lb.
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Which expression is equivalent to the following?
OA. 2√7 + √21
OB. 2√7:√21
OC. -2√7:√21
OD. -2√7 - √21
√-7(√-4-√3)
The expression which correctly represents the equivalent expression is; Choice B; 2√7 - √21.
Which is an equivalent expression?As evident in the task content; the given expression whose equivalent is to be determined is;
√-7 (√-4 - √3 )
It therefore follows from the distributive property that;
√(-7 × -4) - (√(3 × -7))
= 2√7 - √21.
Ultimately, the correct answer choice which represents an equivalent expression is; Choice B.
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HELP!!! ASSIGNMENT DUE SOON
order from least to greatest
Can somebody show how to solve ratios?
Answer:
The first step on how to solve the ratio is to write the values you want to compare and you can write such values in any given form like using colon or through division sign or by writing isto. Let’s understand the steps through an example. Suppose you want to take out the ratio of your maths and physics marks. You have got 90 marks in maths and 70 marks in physics. So firstly I will write it in the form of a ratio.
90 is to 70 or 90:70 or 90/70.
Second step on how to solve the problem is to reduce the values into their simplest way. So for that you can take out the common factors from the numbers. And then we can divide both of the numbers from such a common factor so that we can get the numbers in their simplest form. For example we have a number 90 : 70 then after writing it in the format of ratios now you have to bring out the common factors between the terms of ratios. So in this example we have 10 as a common factor. Thus you will divide both the numbers 90 and 70 by 10 so that you get the numbers in their simplest form so you will get 90/10:70/10 = 9:7.
Thus the ratio is 9:7.
Let’s take another example of three digits and three digits are 75 marks in biology, 25 marks in physics and 100 marks in maths. So let’s first write it in the form of ratio that is
75 : 25 : 100
Now we need to follow the next step of how to solve ratios. That is to find out the common factor from all the numbers thus we can clearly see that 25 is the common factor so you will have to divide each number with 25.
75/25 : 25/25 : 100/25
= 3 : 1 : 4
Thus the answer is 3:1:4.
The important point to learn in ratio is that it does not change with the multiplication or division of same numbers. It will remain the same. For example if you multiply the above number with 2 then they will become 75 x 2 : 25 x 2 : 100 x 2 = 150 : 50 : 200. Now also the ratio is same if you convert it to the smallest form then like first you have to divide it by 50 then you will find get the same ratio that is 3:1:2.
You can also find the value of variables if two ratios are equal. Let’s take an example to understand it better. Suppose you have one ratio 3:2 and other ratio 5:x and these two ratios are equal and now you are required to find the value of x song the equation will be
3 / 4 = 3/X
3 x X = 3 x 2
X = 6/3
X= 2.
it takes 52 minutes for 5 people to paint 5 walks. how many minutes does it take 20 people to paint 20 walks
Answer:
52min
Step-by-step explanation:
5 people..............5 walls............52 min
1 people...............5 walls...........52 x 5=260 min
1 people................20 walls.........260 x 4 =1040 min
20 people................20 walls........1040:20=52 min
Answer:
116
Step-by-step explanation:
maybe don't try this i could be wrong.
What is the probability that a hand of 5 cards chosen randomly and without replacement from a standard deck of 52 cards (which has 4 kings and 4 queens) contains the king of spades, exactly 1 other king, and exactly 2 queens
Answer: Approximately 0.0003047
As a fraction, it is equal to exactly 792/(2,598,960)
===========================================================
Explanation:
The king of spades must be in the hand, and we can pick any other king. There are 3 ways to pick the other king. Then there are 4 C 2 = 6 ways to pick the two queens. The 4C2 refers to the nCr notation. Or you could use Pascal's Triangle.
Overall, there are 3*6 = 18 ways to pick the king of spades, another king, and exactly 2 queens.
Then we have one more card to pick that isn't a king nor a queen. There are 4+4 = 8 cards that are either a king or queen, leaving 52-8 = 44 cards that are neither.
So there are 18*44 = 792 ways to pick a king of spades, another king, exactly 2 queens, and some other card that isn't a king nor queen.
This is out of 52C5 = 2,598,960 possible five card hands.
The probability we're after is roughly 792/(2,598,960) = 0.0003047
Side note: order does not matter with card hands.
a number that multiplies a variable in a term is a
Answer:
Coefficient
Step-by-step explanation:
ABCD with vertices B (2,1), C (2,5), and D (6,1) has its orthocenter at which point?
A. (0,0)
B. (2,1)
C. (2,5)
D. (6,1)
Step-by-step explanation:
d is the answer as far as I can tell from a little experience
If 14 inches of wire cost 42 cents how many inches of wire can be bought with 21 cents
If 14 inches of wire cost 42 cents, with 21 cents can be bought 7 inch of wire
Information about the problem:
Inches bought= 14Inches bought cost = 42 centsAmount = 21 centsInches with 21 cents = ?Calculating how much 1 inch cost, we have:
1 inch cost= Inches bought cost / Inches bought
1 inch cost= 42 cents / 14 inches
1 inch cost= 3 cent/inch
Calculating how much can be bought with 21 cents:
Inches of wire= Amount / 1 inch cost
Inches of wire= 21 cent / 3 cent/inch
Inches of wire= 7 inch
What is a fraction?Is a number that expresses the portion of some number over a total. The number that expresses the portion is known as the numerator and the number that expresses the total is known as the denominator.
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The fuel-flow indicator rotor and needle for a motor-impeller and turbine indicating system is driven by
The fuel-flow indicator rotor and needle in a motor-impeller and turbine indicating system are driven by a mechanism that measures and displays the rate at which fuel is flowing to the engine.
The fuel-flow indicator rotor and needle play a crucial role in providing real-time information about the rate of fuel consumption in an engine. The rotor is typically connected to a turbine or impeller, which is driven by the flow of fuel passing through it. As the fuel flows, it causes the rotor to rotate, and this rotational motion is then translated into the movement of a needle on the indicator display. The position of the needle corresponds to the fuel flow rate, allowing the operator or pilot to monitor and control the fuel consumption.
This indicating system is important for several reasons. Firstly, it enables operators to monitor fuel usage, ensuring that the engine is receiving an appropriate amount of fuel for efficient operation. Secondly, it provides valuable information for fuel management, allowing adjustments to be made if necessary to optimize performance or conserve fuel. Additionally, the indicator system helps identify any anomalies or irregularities in fuel flow, which can be indicative of potential issues or malfunctions within the engine or fuel system. Overall, the fuel-flow indicator rotor and needle serve as critical components in maintaining engine performance, efficiency, and safety.
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a sample of bacteria is decaying according to a half-life model. if the sample begins with 900 bacteria, and after 10 minutes there are 360 bacteria, after how many minutes will there be 40 bacteria remaining?
After 35 minutes there will be 40 bacteria remaining.
The process of a constant percentage rate decrease in an amount over time is referred to as "exponential decay." The formula to calculate exponential decay is given as, \(N_t=N_0\left(\frac{1}{2}\right)^{\frac{t}{t_{1/2}}}\). Here, Nt is the quantity after time t, N0 is the initial quantity, t1/2 is the half-life, and t is time.
For the first situation, Nt=360, N0=900, t=10 minutes. Therefore, substituting the given values get the value of t1/2. So,
\(\begin{aligned}360&=900\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}} \\\frac{360}{900}&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\0.4&=\left(\frac{1}{2}\right)^{\frac{10}{t_{1/2}}}\\ \ln(0.4)&=\frac{10}{t_{1/2}}\ln(0.5)\\t_{1/2}&=10\times\frac{\ln(0.5)}{\ln(0.4)}\\&=7.6\end{aligned}\)
Now, for the second situation, Nt=40. We have to find the time at which there will be 40 bacteria remaining. Then,
\(\begin{aligned}40&=900\left(\frac{1}{2}\right)^{t/7.6}\\0.04&=\left(\frac{1}{2}\right)^{t/7.6}\\\ln(0.04)&=\frac{t}{7.6}\ln(0.5)\\t&=7.6\times\frac{\ln(0.04)}{\ln(0.5)}\\&=7.6\times4.64\\&=35.26\\&\approx35\end{aligned}\)
The answer is 35 minutes.
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Stefan sells Jin a bicycle for $149 and a helmet for $19. The total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answer:
$120
$48
Step-by-step explanation:
total amount Jin spent = cost of bicycle + cost of helmet
$149 + $19 = $168
This equation can be derived from the question :
1.4 x t = 168
where t = total cost Stephan spent on the helmet and bicycle
t = 168/1.4 = $120
Profit = selling price - cost price
$168 - $120 = $48
I need help with my homework please help
The formulas for the rigid transformations of the figures are listed below:
Case 1: (x, y) → (x - 10, y + 9)
Case 2: (x, y) → (- y, x)
Case 3: (x, y) → (- x, y)
Case 4: (x, y) → (- y, x)
Case 5: (x, y) → (x, - y)
Case 6: (x, y) → (x, y + 10)
How to determine the transformation rule for each case
In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:
Translation: (x, y) → (x + a, y + b), where a, b are real numbers.Reflection about x-axis: (x, y) → (x, - y)Reflection about y-axis: (x, y) → (- x, y) Rotation: (x, y) → (x · cos θ - y · sin θ, x · sin θ + y · cos θ), where θ is the angle of rotation.Then, by direct inspection, we derive the following rigid transformations:
Case 1 (Translation)
(x, y) → (x - 10, y + 9)
Case 2 (Rotation)
(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))
(x, y) → (- y, x)
Case 3 (Reflection about y-axis)
(x, y) → (- x, y)
Case 4 (Rotation)
(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)
(x, y) → (- y, x)
Case 5 (Reflection about x-axis)
(x, y) → (x, - y)
Case 6 (Translation)
(x, y) → (x, y + 10)
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Describe four common ways in which individuals respond to perceived inequity. provide an example of each.
Describe four common ways in which individuals respond to perceived inequity are -
People work hard to achieve and maintain equity.If perceive inequity, it causes conflict, which motivates them to reduce or eliminate it.The more severe the degree of inequity, the more motivated people are to decrease or eliminate a certain tension.Unfavorable inequity is more easily perceived than favorable inequity.What is equity?Equity, also known as shareholders' equity (or shareholders' equity for private companies), is the sum of money which would be handed back to a company ’s creditors if each of its assets have been liquidated and all of its debt was paid off in the event of liquidation.
Some key features regarding the equity are-
Equity is the value which would be returned to a company's shareholders if all assets have been liquidated and all debts were paid off.Equity can also be defined as the amount of leftover ownership in an organization or asset remaining after deducting all debts affiliated with that asset.On a company's balance sheet, equity represents the shareholders' stake in the company.Equity is calculated as a firm's revenue assets less total liabilities, and it is included in several important financial ratios like ROE.Home equity is another way to define equity. It is the value of an owner's estate (net of debt).To know more about the equity, here
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Let y()y(t) be the solution to y˙=7−yy˙=7te−y satisfying y(0)=−3y(0)=−3. (a) Use Euler's Method with time step ℎ=0.2h=0.2 to approximate y(0.2),y(0.4),...,y(1.0)y(0.2),y(0.4),...,y(1.0). k tk yyk
0 0 −3−3
11 0.20.2 22 0.40.4 33 0.60.6 44 0.80.8 55 1.01.0 (b) Use separation of variables to find y()y(t) exactly. y()y(t) = (c) Compute the error in the approximations to y(0.2),y(0.6)y(0.2),y(0.6), and y(1)y(1). |y(0.2)−y1|=|y(0.2)−y1|= |y(0.6)−y3|=|y(0.6)−y3|= |y(1)−y5|=|y(1)−y5|=
To compute the error in the approximations to y (0.2), y (0.6), and y (1), you can calculate the absolute difference between the approximate values obtained using Euler's Method and the exact values.
To approximate the values of y(0.2), y(0.4), ..., y(1.0) using Euler's Method with a time step of h = 0.2, we can use the following iterative scheme:
k | \(t_k\) | \(y_k\)
0 | 0 | -3
1 | 0.2 | \(y_{1}\)
2 | 0.4 | \(y_{2}\)
3 | 0.6 | \(y_{3}\)
4 | 0.8 | \(y_{4}\)
5 | 1.0 | \(y_{5}\)
To find \(y_1, y_2, y_3, y_4,\) and \(y_5\), we can use the difference equation based on Euler's Method:
\(y_{k+1} = y_k + h * f(t_k, y_{k})\)
where, \(f(t_k, y_k)\) represents the derivative of y with respect to t at \((t_k, y_{k})\).
In this case, \(f(t_k, y_{k})\) = 7 - \(y_k\) * \(e^{(-y_{k})}\).
Using this formula, we can calculate the approximations as follows:
For k = 0:
\(t_0 = 0, y_0 = -3\)
For k = 1:
\(t_1 = 0.2\)
\(y_{1} = y_{0} + h * f(t_{0}, y_{0})\) = -3 + 0.2 * (7 - (-3) * \(e^{(-(-3))}\))
For k = 2:
\(t_2 = 0.4\)
\(y_2 = y_1 + h * f (t_1, y_1)\)
For k = 3:
\(t_3 = 0.6\)
\(y_3 = y_2 + h * f (t_2, y_2)\)
For k = 4:
\(t_4 = 0.8\)
\(y_4 = y_3 + h * f(t_3, y_3)\)
For k = 5:
\(t_5 = 1.0\)
\(y_5 = y_4 + h * f(t_4, y_4)\)
Performing these calculations will give us the values of y (0.2), y (0.4), ..., y (1.0) according to the given method.
(b) To find the exact solution using separation of variables, we start with the given differential equation:
\(y' = 7 - y * e^{(-y)}\)
Rearranging the equation:
\(dy / (7 - y * e^{(-y)}) = dt\)
Integrating both sides:
∫dy / (7 - y *\(e^{(-y)}\)) = ∫ dt
We can now solve this integral to find the exact solution y(t).
(c) To compute the error in the approximations to y(0.2), y (0.6), and y (1), you can calculate the absolute difference between the approximate values obtained using Euler's Method and the exact values.
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HELP! ME PLEASE!!!!!!!!!!!!!!!
The equivalent value of the expression is g = h ( s - p )
Given data ,
Let the equation be represented as A
Now , the value of A is
s = p + ( g/h )
On solving the equation for g , we get
Subtracting p on both sides , we get
( g/h ) = s - p
Multiply by h on both sides , we get
g = h ( s - p )
Hence , the expression is g = h ( s - p )
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The function is defined by f(x)=x2e−x2 . At what values of does have a relative maximum?A ) -2B) 0C 1onlyD -1 and 1
The function f(x) = \(x^2 e^{(-x^2)}\) has a maximum value at x = 0, which is a relative maximum point.
To find the relative maximum of the function f(x) =\(x^2 e^{(-x^2)}\), we can take its first derivative, set it to zero, and solve for x.
f(x) = \(x^2 e^{(-x^2)}\)
f'(x) = \(2x e^{(-x^2)} - 2x^3 e^{(-x^2)}\)
Setting f'(x) = 0, we get:
\(2x e^{(-x^2)} - 2x^3 e^{(-x^2)} = 0\)
\(2x e^{(-x^2)} (1 - x^2) = 0\)
This equation is true when either \(2x e^{(-x^2)} = 0\) or \(1 - x^2 = 0\).
Solving \(2x e^{(-x^2)} = 0\), we get x = 0.
Solving \(1 - x^2 = 0\), we get x = 1 or x = -1.
Now, we need to determine whether these values of x correspond to relative maximum, minimum, or inflection points.
To do this, we can use the second derivative test. The second derivative of f(x) is:
f''(x) = \(2e^{(-x^2)} - 4xe^{(-x^2)} - 4x^2e^{(-x^2)}\)
At x = 0, f''(0) = 2, which is positive. This means that f(x) has a relative minimum at x = 0.
At x = 1, f''(1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = 1.
At x = -1, f''(-1) = \(-6e^{(-1)}\), which is negative. This means that f(x) has a relative maximum at x = -1.
Therefore, the answer is (D) -1 and 1 only, as these are the only values of x at which f(x) has a relative maximum.
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17)
The table shows a linear relationship between x and y.
What is the rate of change of y with respect to x?
A -9/2
B 2/9
C -2/9
D 9/2
Explain in complete sentences why you chose this answer, make sure
to support your answer with the data above.
Answer:
A
Step-by-step explanation:
Slope is defined by \(\frac{y_2-y_1}{x_2-x_1} or \frac{rise}{run}\). Take 2 points from this table and plug into the formula to find the slope.
\(\frac{96-60}{-20--12} = \frac{36}{-8} = -9/2\)
From a logical standpoint, since when x increases and y decreases, the slope must be negative, eliminating answering B and D. Because the y value changed more than the x value, the slope must be more than 1, eliminating option C and leaving you with option A.
If the price of cocoa beans goes up, what will happen to the supply of chocolate?
Producers will produce more chocolate
The supply of chocolate will remain unchanged
Producers will offer less chocolate to the market
The demand for chocolate will immediately increase
Answer:
producers Will grow more chocolate.
EMERGENCY!!!!
What is the volume of the following rectangular prism?
Answer:
6 3/4
Step-by-step explanation:
3 3/8 * 2 = 6 3/4
Which type graph is the best choice for determining the change in the stock market over time?
a. Scatter Diagram
b. Time-series Plot
c. Box Plot
d. Pie Chart
Time-series Plot graph is the best choice for determining the change in the stock market over time.
The term stock exchange refers to several exchanges where shares of publicly traded companies are bought and sold. Such financial activities are conducted through formal stock exchanges and over-the-counter (OTC) markets that operate under a specific set of regulations.
Other major stock exchanges in the world are Tokyo Stock Exchange (Japan), Shanghai Stock Exchange (China) and London Stock Exchange (UK). Stock exchanges are considered capital markets as they provide long-term financing for companies.
A time series chart, also known as a time series chart or time series graph, is a data visualization tool that plots data points at successive time intervals. Each point on the chart corresponds to both time and quantity being measured.
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Which expression has a value greater than 4,562? A.4,562 times three-halves B.4,562 x 1 C.4,562 times one-half D.4,562 times one-fourth
The expression that has a value greater than 4,562 is A.4,562 times three-halves
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.
In this case, 4,562 times three-halves will be:
= 4562 × 3/2
= 6843
4,562 x 1 is 4562
4,562 times one-half is:
= 4562 × 1/2
= 2281
4,562 times one-fourth is:
= 4562 × 1/4
= 1140.5
Therefore, the correct option is A.
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Let X,,X,,X, be three independent normal random variables with expected values ,2, and variances 2,,2,respectively. If =10, =20,=30 and == =12,find P(54 < X, + X, + X, < 72)
P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.
-The sum of independent normal random variables is also a normal random variable. Therefore, X1 + X2 + X3 is also a normal random variable with mean
E(X1 + X2 + X3) = E(X1) + E(X2) + E(X3) = 10 + 20 + 30 = 60 and variance Var(X1 + X2 + X3) = Var(X1) + Var(X2) + Var(X3) = 12.
So, X1 + X2 + X3 ~ N(60, 12).
-To find P(54 < X1 + X2 + X3 < 72), we standardize the random variable as follows:
\(Z = \frac{(X1 + X2 + X3 - 60)}{\sqrt{12} }\)
-Then, we need to find \(p(\frac{(54-60)}{\sqrt{120} } < Z < \frac{(72-60)}{\sqrt{12} }\).
Simplifying, we get P(-1.73 < Z < 1.73).
Using a standard normal table or calculator, we can find that this probability is approximately 0.8972.
Therefore, P(54 < X1 + X2 + X3 < 72) is approximately 0.8972.
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Definition:A sailboat set a course of N 25° E from a small port along a shoreline that runs north and south. Sometime later the boat overturned and the crew sent out a distress call. They estimated that they were 12 miles away from the nearest harbor, which is 28 miles north of the port they had set sail from. If a rescue team leaves from the harbor, find all possible courses the team must follow in order to reach the overturned sailboat.
Answer:
S 75°E
S 55°E
Step-by-step explanation:
Take the law if sines of a triangle:
\( \frac{a}{sinA} = \frac{b}{sinB} = \frac{c}{sinC} \)
Where,
a = 28 miles
B = 25°
b = 12 miles
First solve for A, using the law of sines:
\( \frac{a}{sinA} = \frac{b}{sinB} \)
\( \frac{28}{sinA} = \frac{12}{sin25} \)
Cross multiply:
\( 28 sin25 = 12 sinA \)
\( 11.83 = 12 sinA \)
\( Sin A = \frac{11.83}{12} \)
\( Sin A = 0.986 \)
\(A = sin^-^1(0.986)\)
\( A = 80.44 degrees \)
Since A = 80.44° find A supplement, A`:
A` = 180 - 80.44
A` = 99.56°
If A` + B < 180°, find C.
Thus,
A` + B = 99.56 + 25 = 124.56
We can see that A` + B < 180
Find C:
C = 180 - (80.44+25) = 74.56° ≈ 75°
C` = 180 - (99.56+25) = 55.44° ≈ 55°
Rewrite in bearing form:
S 75°E
S 55°E
help me plzzzzzzzzzzzzz
Answer:
x = 49
Step-by-step explanation:
49 divided by -7 equals -7
Measurements of the sodium content in samples of two brands of chocolate bar yield the following results (in grams): Brand A: 34.36, 31.26, 37.36, 28.52, 33.14, 32.74, 34.34, 34.33, 30.95 Brand B: 41.08, 38.22, 39.59, 38.82, 36.24, 37.73, 35.03, 39.22, 34.13, 34.33, 34.98, 29.64, 40.60 Can you conclude that the variance of the sodium content differs between the two brands
We can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.
The problem provides measurements of the sodium content in samples of two brands of chocolate bar. To find if there is a difference in variance between the two brands, we can conduct a two-sample F-test for equality of variances at a 0.05 significance level.
The following is the null and alternative hypotheses for the test:
H0: The variances of sodium content in brand A and brand B are equal.
H1: The variances of sodium content in brand A and brand B are different.
If the test statistic is greater than the critical value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.
Using the data given, we find the sample variances for both brand A and B:
Variance of Brand A, s2A = 9.84
Variance of Brand B, s2B = 8.45
We calculate the F-statistic:
F = s2A / s2B = 1.16
The degrees of freedom for both brand A and B are dfA = 8 and dfB = 12 respectively.
We then find the critical values of F from an F-distribution table for dfA = 8 and dfB = 12, and at a 0.05 significance level. The critical values are 0.240 and 3.053 respectively.
Since our test statistic F = 1.16 is less than the critical value 3.053, we fail to reject the null hypothesis.
Therefore, we can conclude that there is not enough evidence to suggest that the variance of the sodium content differs between the two brands.
Thus, the chocolate bars of both brands can be assumed to have the same variance for sodium content.
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The is ________ the horizontal center line on the coordinate plane (left to right). The _________ is the vertical center line on the coordinate plane. The point where the x and y axis interact, identified by 0 is called the _________
The x-axis is the horizontal center line on the coordinate plane (left to right). The y-axis is the vertical center line on the coordinate plane. The point where the x and y axis interact, identified by 0, is called the origin.
This point is located at coordinates (0,0). The x-axis is usually associated with the horizontal axis in a two-dimensional graph and is typically used to represent different categories of data. The y-axis is associated with the vertical axis and is used to represent a range of values from high to low.
The formula for determining the coordinates of a point is (x,y). The x-coordinate is the distance from the origin on the x-axis and the y-coordinate is the distance from the origin on the y-axis. For example, if a point has an x-coordinate of 4 and a y-coordinate of -3, the coordinates of the point would be (4,-3). To calculate the distance between two points, you can use the distance formula, which is the square root of the sum of the squares of the differences between the x-coordinates and the y-coordinates. For example, if the coordinates of point A are (2,3) and the coordinates+ of point B are (7,1), the distance between A and B would be calculated by taking the square root of (5-2)^2+(1-3)^2, which would equal 5.
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triangle abc with a vertices a(-2,5), b(1,8) and c(7,5) is dilated using a scale factor of 3.5 . what are the coordinates of abc
Answer:
42
Step-by-step explanation: