Answer:
n=-6/4
Step-by-step explanation:
4n+40=34
4n=34-40
4n=-6
n=-6/4
An angle measures 3. 4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
Let x be the measure of the angle we are trying to find, in degrees.
The complementary angle to x is 90° - x, since the sum of complementary angles is 90 degrees.
The problem tells us that x is 3.4 degrees less than its complementary angle, so we can set up the following equation:
x = (90 - x) - 3.4
Simplifying and solving for x, we get:
x = 86.6/2
x = 43.3
Therefore, the angle we are trying to find has a measure of 43.3 degrees, and its complementary angle has a measure of 90 - 43.3 = 46.7 degrees.
what value of a makes this proportion 4/12 = a/27
Answer:
The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.
Answer:
a = 9
Step-by-step explanation:
\(\frac{4}{12}\) = \(\frac{a}{27}\) ( cross- multiply )
12a = 108 ( divide both sides by 12 )
a = 9
Write the equation of the line that passes through the points (2, 7) and (5,-2).
Answer:
y = -3x + 13
Step-by-step explanation:
Assuming the line is linear, you can use the point-slope equation of a line.
(y - y) = m (x - x)
The y and x variables come from the points on the line. Points are written in the form (x, y). In the point (2,7), 2 is x and 7 is y.
1. Plug your points in.
(7 - - 2) = m (2 - 5)
2. Solve for m (the slope)
(7 + 2) = m (2 - 5)
(9) = m (-3)
9 = -3m
m = -3
3. Write an equation of the line with the slope you found.
You can write this equation in different forms, but I'll use the slope-intercept form.
y = mx + b
You'll have to find b, the y-intercept. You can plug one of your points in for x and y as well as your slope, m, and solve for b.
7 = -3(2) + b
7 = -6 + b
b = 13
Therefore, the equation is y = -3x + 13
A magician asks two volunteers to each draw a card from a standard deck of cards. What is the probability that the first card is a heart and the second card is a dimand?
Answer:
The probability of choosing a heart, P(Heart) = 13/52 = 0.25
Step-by-step explanation:
A line passes through the points (8,5) and (4,4). What is its equation im slope-intercept from?
Given the points ( 8 , 5 ) and ( 4 , 4 )
The general slop-intercept form of the equation of the line is:
y = mx + c
where m is the slope and c is y-intercept
The slope will be calculated as following:
\(\text{slope}=m=\frac{y2-y1}{x2-x1}=\frac{5-4}{8-4}=\frac{1}{4}\)So, the equation of the line will be:
\(y=\frac{1}{4}x+c\)Using the one of the given points to find the value of c
Let , we will use the point ( 4 , 4 )
so, when x = 4 , y = 4
\(\begin{gathered} 4=\frac{1}{4}\cdot4+c \\ 4=1+c \\ c=4-1=3 \end{gathered}\)So, the slope - intercept equation of the line is:
\(y=\frac{1}{4}x+3\)Help please!
Complete the table to make a proportional relationship between weight and price.
Answer:
17.50
Step-by-step explanation:
1: 3.50 dollars
multiply by 5 on eahc side
5 : 17.50
The complete table to make a proportional relationship between weight and price is 17.50.
You start with an equation: 1 * 3.50 dollars
You want to multiply both sides of the equation by 5.
So, you have:
1 * 3.50 dollars = 5 * 3.50 dollars
On the left side, when you multiply 1 by 3.50 dollars, you get 3.50 dollars.
On the right side, when you multiply 5 by 3.50 dollars, you get 17.50 dollars.
So, the result of multiplying both sides by 5 is:
3.50 dollars = 17.50 dollars
This shows that if you have 1 item costing 3.50 dollars and you want to buy 5 of those items, the total cost would be 17.50 dollars.
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What is the MAD for the following data set? 5,15,10,35,25
1) Determine the length of "x" in the following triangle and mention if you're solving
for a leg or a hypotenuse.. (5 pts.)
55
Answer:
X=48
Step-by-step explanation:
x^2+y^2=z^2
but in this case it's z^2-y^2=x^2
so 73^2= 5329
and 55^2=3025
5329-3025=2304
Square Root of 2304 is 48, meaning X=48
Hope this helps!
6.Adah has a box in the shape of a cube. She is trying to determine how to find the volume. So, she asks her friends Luis, Emily, Francesca and Roberto. However, she knows only one can be correct, who is it?A.Luis states that she needs to find the area of each face, and then add them together.B.Emily states that you only need to find the area of one side and then multiply by four (the number of sides around the cube).C.Francesca states that you need to find the area of the bottom and the four sides. Since the cube is open at the top, you don’t need to include that.D.Roberto said that you need to find the area of the base and multiply by the height of the cube.
Answe I believe the answer would be D
Step-by-step explanation:
Which phrase best describes a scatterplot in which the variables has a correlation coefficient of r=0.86
Answer:
A strong positive association
Step-by-step explanation:
A perfect fit for a positive line would be 1. A perfect fit for a negative line would be -1.
The scale goes from 1 tp -1.
.86 is pretty close to 1.
Whats the answer for 0.15 + 0.36 i need help solving it.
Answer:
0.51
Step-by-step explanation:
okay I'm not good at explaining this but I'm going to try my best
put 0.15 on top of 0.36 like this
1
0.15
0.36
_____
0.51
5+6=11
3+2=5 I said 2 because 5+6=11 so you had to carry your 1
then you would just bring your 0 down cause everybody know 0+0=0 lol!
Suppose that Y1, ... ,Yn are iid with density function f(y) = θy (superscript) θ-1, 0 < y < 1, θ > 0
a. find a CSS for θ
b. find the MVUE of θ
A complete sufficient statistic (CSS) for the parameter θ is the sample product of Y1, Y2, ..., Yn denoted as Y_prod and the maximum variance unbiased estimator (MVUE) of θ is the sample mean, denoted as Y_bar.
(a) To find a complete sufficient statistic (CSS) for θ, we need to factorize the joint density function into a product of two functions: one depending only on the data and the other depending on the parameter. In this case, the joint density function is given by f(y1, y2, ..., yn) = \(\theta^{n}\) * y1 * y2 * ... * y ×\(n^{\theta -1}\)).
By factoring the joint density function, we can see that it can be expressed as g(y1, y2, ..., yn) × h(y1, y2, ..., yn, θ), where g depends only on the data and h depends on both the data and the parameter.
The function g(y1, y2, ..., yn) = y1 × y2 × ... × y\(n^{\theta -1}\) depends only on the data, while h(y1, y2, ..., yn, θ) = \(\theta^{n}\) depends on both the data and the parameter.
Therefore, the sample product Y_prod = Y1 × Y2 × ... × Yn is a complete sufficient statistic for θ.
(b) The maximum variance unbiased estimator (MVUE) of θ is the sample mean, Y_bar = \(\frac{Y{1} +Y{2} +...+Yn}{n}\). It is an unbiased estimator since E(Y_bar) = θ, and it achieves the minimum possible variance among all unbiased estimators.
To see that Y_bar is the MVUE, we can calculate its variance:
Var(Y_bar) = \(\frac{Var(Y{1} +Y{2} +...+Yn)}{n}\)= (1/\(n^{2}\)) × (Var(Y1) + Var(Y2) + ... + Var(Yn))
Since Y1, Y2, ..., Yn are identically distributed, Var(Y1) = Var(Y2) = ... = Var(Yn) =\(\frac{\theta}{\theta^{2(\theta+1)} }\). Therefore, Var(Y_bar) = \(\frac{\theta}{n(\theta+1)}\).
It can be shown that among all unbiased estimators, Y_bar achieves the Cramer-Rao lower bound for variance, which means it has the minimum possible variance.
Hence, Y_bar is the MVUE of θ in this case.
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(2x + 5y) * 3/x = ?
Answer:
(6x + 15y) / x
Step-by-step explanation:
(2x + 5y) * 3/x =
3 * (2x + 5y) / x =
(3 * 2x + 3 * 5y) / x ==> distribute 3 to 2x and 5y
(6x + 15y) / x ==> simplify
0 Question 32 1 pts Caroline has 6.8 L of lemonade to serve 20 people. How many milliliters can she pour into each glass if she divides the lemonade up evenly among her guests? Question 33 1 pts Provi
If Caroline has 6.8 L of lemonade to serve 20 people. Caroline can pour 340 milliliters of lemonade into each glass.
To find out how many milliliters of lemonade Caroline can pour into each glass, we need to convert the volume of lemonade from liters to milliliters and then divide it equally among the 20 guests.
1 liter is equal to 1000 milliliters. So, Caroline has 6.8 L * 1000 mL/L = 6800 mL of lemonade.
To divide it equally among 20 guests, we divide the total volume of lemonade by the number of guests:
6800 mL / 20 = 340 mL.
Therefore, Caroline can pour 340 milliliters of lemonade into each glass.
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PLS HELP FAST
At a hockey game, a vender sold a combined total of 232 sodas and hot dogs. The number of sodas sold was three times the number of hot dogs sold. Find the number of sodas and the number of hot dogs sold.
Number of sodas sold:
Number of hot dogs sold:
The vendor sold 172 sodas and 58 hotdogs at the hockey game.
What is a linear equation?An equation of degree one is known as a linear equation.
A linear equation of two variables can be represented by ax + by = c.
let, the number of soda cans be 'x' and the number of hot dogs be 'y'.
So, From the given information x = 3y and the vendor sold a total of 232.
Therefore, x + y = 232.
3y + y = 232.
4y = 232.
y = 232/4.
y = 58.
So, He sold 58 hot dogs and 3×58 = 172 soda cans.
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Investigate the equilibria of ˙x = a − x2 , ˙y = x − y. Show that the system has a saddle and a stable node for a > 0, but no equilibrium points if a < 0. This system is said to undergo a bifurcation as a increases through a = 0. This bifurcation is an example of a saddle-node bifurcation. Draw the phase diagrams for a = 1 and a = −1.
The phase diagrams provide a visual representation of the system's behavior by plotting the vector field and trajectories in the x-y plane.
The given system of differential equations is described by:
\(˙x = a - x^2˙y = x - y\)
To find the equilibria, we set ˙x and ˙y equal to zero:
\(a - x^2 = 0 -- > x^2 = a -- > x = ±√ax - y = 0 -- > y = x\)
So, the equilibria are (±√a, ±√a).
Now let's analyze the behavior of the system for different values of 'a'.
For a > 0:
In this case, there are two real equilibria, (√a, √a) and (-√a, -√a). We can observe that (√a, √a) is a stable node, as the eigenvalues of the linearized system around this point have negative real parts. On the other hand, (-√a, -√a) is a saddle point, as the eigenvalues have opposite signs (one positive and one negative).
For a < 0:
In this case, there are no real equilibria since √a and -√a are imaginary. Therefore, the system has no equilibrium points.
To visualize the phase diagrams for a = 1 and a = -1:
For a = 1:
The system has two real equilibria, (1, 1) and (-1, -1). The point (1, 1) is a stable node, and (-1, -1) is a saddle point. The phase diagram would show trajectories converging towards (1, 1).
For a = -1:
Since a < 0, there are no equilibrium points, and thus the phase diagram would show no fixed points or trajectories.
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The marketing club at school is opening a student store. they randomly survey 50 students about how much money they spend on lunch each day. what is the expected value for a student to spend on lunch each day?
The expected value for a student to spend on lunch each day is $5.18, making the 3rd option a right choice.
In the question, we are given that the marketing club at the school is opening a student store for which they randomly surveyed 50 students about how much money they spend on lunch each day.
We are asked to find the expected value for a student to spend on lunch each day.
The expected value is the mean of the data where we can show the data as the following table:
x (in $) 10 8 6 5 4 3
f(x) 2 1 12 23 8 4.
The mean of the data can be calculated using the formula, μ = (∑ x f(x))/(∑ f(x)).
Thus, the expected value of the given data can be shown as:
μ = (10*2 + 8*1 + 6*12 + 5*23 + 4*8 + 3*4)/(2 + 1 + 12 + 23 + 8 + 4),
or, μ = (20 + 8 + 72 + 115 + 32 + 12)/(50),
or, μ = 259/50,
or, μ = 5.18.
Thus, the expected value for a student to spend on lunch each day is $5.18, making the 3rd option a right choice.
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For the complete question, refer to the attachment.
Answer:
$5.18
Step-by-step explanation:
WORTH 67 PTS!! I WILL GIVE BRAIBLIEST!
Write an expression that is equivalent to
3/4a + 2/3 - 1/2a - 1/3 + 1/2a
3/4a + 2/3 - 1/2a - 1/3 + 1/2a
= _a + _
Answer:
7/4a + 1/3
1 3/4a + 1/3
Step-by-step explanation:
Answer:
1 3/4AN + 1/3
Step-by-step explanation:
Ummm help someone who knows what they doing
Answer:
X = - 6
Step-by-step explanation:
18x + 30 = 6(2x – 1)
Multiply 6 to 2x and - 1
18x + 30 = 12x – 6
Subtract 30 on both sides
18x = 12x – 36
Subtract 12x on both sides
6x = - 36
Divide by 6 on both sides
X = - 6
which value of x satisfies the equation 7/3 (x + 9/28) = 20?
Answer:
x=8.25
Step-by-step explanation:
Divide both sides by 7/3
(x+9/28) = 8.57
Subtract 9/28 on both sides
x = 8.25
what was the total distance traveled by the object during the 10.0-second time interval
Firstly, we need to know the speed of the object in order to calculate the distance it traveled. If we have the speed, we can use the formula distance = speed x time to find the total distance traveled during the 10.0-second time interval.
Secondly, if we don't have the speed, we can use the equation of motion: distance = (initial velocity x time) + (1/2 x acceleration x time squared). This equation takes into account the initial velocity of the object as well as any acceleration that occurred during the time interval.
Lastly, if we have information about the velocity and acceleration of the object, we can use the kinematic equations to find the distance traveled. These equations relate the velocity, acceleration, time, and distance of an object in motion.
In conclusion, to find the total distance traveled by an object during a 10.0-second time interval, we need to know the speed, initial velocity and acceleration of the object. Once we have this information, we can use the formulas and equations mentioned above to calculate the distance traveled.
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Every quadrilateral has a line of symmetry.
true
False
Answer:
false, a parallelogram does not have any lines of symmetry
Step-by-step explanation:
Express the answers to the following operations with the proper number of significant figures. (a) 8.370×1.3 ×10 (b) 4.265/2.0 (c) (1.2588×10 ^3)×(1.06×10 ^−2) (d) (1.11) ^1/2
The answers, rounded to the appropriate number of significant figures, are as follows:
(a) 1.088 ×\(10^2\)
(b) 2.132
(c) 1.3331 ×\(10^1\) and
(d) 1.05.
Let's calculate the answers to the given operations using the appropriate number of significant figures.
(a) 8.370×1.3×10
To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:
8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)
Since the original numbers have four significant figures, we round the final answer to four significant figures:
1.088 × \(10^2\)
(b) 4.265/2.0
For division, we divide the decimal numbers:
4.265 ÷ 2.0 = 2.1325
Since both numbers have four significant figures, the answer should be rounded to four significant figures:
2.132
(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))
To multiply these numbers, we multiply the decimal numbers and add the exponents:
(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)
Since the original numbers have five significant figures, we round the final answer to five significant figures:
1.3331 × \(10^1\)
(d) \((1.11)^(^1^/^2^)\)
To calculate the square root, we raise the number to the power of 1/2:
\((1.11)^(^1^/^2^)\)= 1.0524
Since the original number has three significant figures, the answer should be rounded to three significant figures:
1.05
It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.
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Can someone help me? Pleaseeeee
Answer:
a. x = 82 degrees
b. All angles less than 90 degrees are 65 degrees and 33 degrees and 82 degrees in an acute triangle.
Step-by-step explanation:
A triangle has to equal to 180 degrees, add 65 and 33 together to get 98 degrees, subtract 180 from 98 to get 82 degrees. Part B is self explanatory.
Fill in the missing fraction: Do not reduce your answer. What is 10/12 plus blank equals 16/12
Answer:
The missing fraction is 6/12
(you can further simplify this but the question requires that you don't do that)
Step-by-step explanation:
To add fractions easily, their denominators should have the same value, so the denominator should be 12,
Then, to get 16 in the numerator, we need to find a number that on adding to 10, gives 16, or,
10 + x = 16
x = 16 - 10
x = 6
So, the numerator should be 6
so we get the fraction, 6/12
We can also solve it in an alternate way,
\(10/12 + x = 16/12\\x = 16/12 - 10/12\\x = (16-10)/12\\x = 6/12\)
what is the value of the digit 5 in 3.257
Answer:
THE VALUE IS HUNDREDTHS. HOPE THIS HELPS. BRAINLIST ???
how many solutions does the equation y=mx have
Answer:A solution to an equation is the value or values of the variable or variables that make the equation a true statement. Graphically, solutions are the intersections of the graphs of the left side and the right side, or if the equation is written so that one side is zero, we are looking for the x-intercepts (for real solutions.)
Periodic functions can have infinite solutions. For instance, cos(x)=1 has as solutions x=2n*pi, n in ZZ (or n an integer.) Periodic functions can...
Step-by-step explanation:
Whe to apply the central limit theorem to make various estimates. Required: a. Compute the standard error of the sampling distribution of sample meansi (Round your answer to 2 decimal places.) b. What is the chance HLI will find a sample mean between 4.7 and 5.9 hours? (Round your z and standard error values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) c. Calculate the probability that the sample mean will be between 5.1 and 5.5 hours. (Round your z and standard errot values to 2 decimal places. Round your intermediate and final answer to 4 decimal places.) C. Cuiculate the probability that the stample mean will be between 5.1 and 5.5 hours. (Aound your z and standard error values ta 2 decimal places. Round your Intermediate and final answer to 4 decimal places.) d. How strange would it be to obtain a sample mean greater than 7.60 hours? This is very unlikely. This is very likely.
a. To find the standard error of the sampling distribution of sample means:
Standard deviation = sqrt(Variance of the population)
Since the population standard deviation is not given, we assume it is 1.
Standard error = (Standard deviation) / sqrt(n)
= (1) / sqrt(100)
= 0.01 (rounded to 2 decimal places)
b.
Standard error = 0.01 (from part a)
z = (4.7 - mean) / 0.01
= (4.7 - 5) / 0.01
= -0.3 (rounded to 2 decimal places)
Chance that sample mean is between 4.7 and 5.9 hours
= P(z > -0.3) + P(z < 0.3)
= 0.762 + 0.761
= 0.7524 (rounded to 4 decimal places)
c.
Standard error = 0.01 (from part a)
z = (5.1 - mean) / 0.01
= 0.1 (rounded to 2 decimal places)
Chance that sample mean is between 5.1 and 5.5 hours
= P(z > 0.1) + P(z < -0.1)
= 0.4583 + 0.4603
= 0.4593 (rounded to 4 decimal places)
d.
Standard error = 0.01 (from part a)
z = (7.60 - mean) / 0.01
= 3 (rounded to 2 decimal places)
Chance that sample mean is greater than 7.60 hours
= P(z > 3)
= 0 (rounded to 4 decimal places)
This would be very unlikely.
The ordered pair (a, b) satisfies the inequality y
true?
The correct option is a in which the ordered pair (a , b) satisfies y < x + 5
If you subtract 5 from b , it will be less than or equal to a .
What are ordered pairs ?An ordered pair is defined as any pair of numbers for which order is important. Clearly the order of coordinates for a given point is very important for example (5,2) and (2, 5) represent two very different points on a coordinate system. As shown in the image attached. Therefore, a given point such as (5,2), is often referred to as an ordered pair.
The correct option is a in which ordered pair (a , b) satisfies y < x + 5
if you subtract 5 from b , it will be less than or equal to a .
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if an inequality contains the less than symbol or greater than symbol its graph would be a ___ line.
If an inequality contains the less than symbol (<) or greater than symbol (>), its graph would be a dotted or dashed line.
This is because these symbols indicate that the boundary line is not included in the solution set. For example, the inequality x > 3 would have a dotted line at x = 3, indicating that 3 is not included in the solution set. On the other hand, if the inequality contains the less than or equal to symbol (≤) or greater than or equal to symbol (≥), its graph would be a solid line.
This is because these symbols indicate that the boundary line is included in the solution set. For example, the inequality y ≤ 2 would have a solid line at y = 2, indicating that 2 is included in the solution set.
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