Answer:
sinB= 3.8(sin16/2.4) or ~0.45162
[Note: ~ means about]
Step-by-step explanation:
To solve this problem, we need to use the Law of Sines. The Law Of Sines states that sinA/a = sinB/b. Since we know the value of A,a, and b, we can plug our known values in to find our unknown value, sinB.
sinA/a = sinB/b [Plug in known values]
sin16/2.4 = sinB/3.8
Now, we want to just find the value of sinB. To do this, we will need to multiply both sides by 3.8, so the right side just reads sinB.
sin16/2.4 = sinB/3.8 [Multiply by 3.8]
3.8(sin16/2.4) = sinB
Now, if we want the exact answer, we can leave it as is. If you are looking for a decimal answer, let's continue to see what we would get:
3.8(sin16/2.4) = sinB
3.8(0.27563/2.4) ~ sinB
3.8(0.11484) ~ sinB
0.43642 ~ sinB
B ~ 0.45162
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Select all correct responses (more than one may be correct):Which of the following characteristics of a dataset indicate that linear regression (the kind we know how to do) may NOT be appropriate?Group of answer choices1. A scatterplot of the data looks like a U2. The data are drawn from 2 or more distinct groups3. A scatterplot of the data exhibits a strong negative correlation4. A scatterplot of the data looks like a V
The characteristics of a dataset indicate that linear regression (the kind we know how to do) may NOT be appropriate are, The data are drawn from 2 or more distinct groups, and A scatterplot of the data looks like a V.
These two characteristics indicate that linear regression may not be appropriate because the linear regression model assumes a linear relationship between the independent variable(s) and the dependent variable.
If the data are drawn from two or more distinct groups, this may indicate multiple relationships; therefore, a linear model may not be appropriate. If the scatterplot looks like a V, this may indicate a non-linear relationship, so a linear regression model may not be appropriate either.
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Evaluate expressions of the graph:
Answer:
1) - 3; 2) 3; 3) - 1; 4) 5; 5) 6---------------------
Evaluate expressions using respective points on graphs :
1) (f · g)(2) = f(g(2)) = f(0) = - 32) (g · f)(2) = g(f(2)) = g(5) = 33) (g · g)(5) = g(g(5)) = g(3) = - 14) (f · f)(5) = f(f(5)) = f(2) = 55) (f · g · f)(4) = f(g(f(4))) = f(g(5)) = f(3) = 6Deniz is playing a game of rock-paper-scissors with Phil. The loser of the game will pay the winner $ 100 $100dollar sign, 100. In the game of rock-paper-scissors, each player chooses either rock, paper, or scissors simultaneously. A winner is decided by the following rules: rock beats scissors, scissors beats paper, and paper beats rock. If both players make the same choice, then the game is a tie. Deniz is trying to decide whether to play rock or paper. Based on previous games, she knows that Phil will make his choice according to the probabilities in the table below. What are Deniz's expected winnings if she chooses rock? Round your answer to the nearest dollar. $ $dollar sign What are Deniz's expected winnings if she chooses paper? Round your answer to the nearest dollar. $ $dollar sign If Deniz wants the best payoff in the long run, she should choose . Phil’s choice Probability Rock 50 % 50%50, percent Paper 20 % 20%20, percent Scissors 30 % 30%30, percent
Answer:
Deniz's expected winnings if she chooses rock are $30. If she chooses paper, her expected winnings are $20. If Deniz wants the best payoff in the long run, she should choose paper.
Expected winnings for rock:
Deniz wins against scissors with probability of 30%, and loses against paper with probability of 20%, so her expected winnings are (0.3100) - (0.2100) = 30
Expected winnings for paper:
Deniz wins against rock with probability of 50%, and loses against scissors with probability of 30%, so her expected winnings are (0.5100) - (0.3100) = 20
write the equation of the line containing the point (2,5) and the slope of 3, in point-slope form
find the perimeter of this using Pythagorean theroem
Please help if you can, this is due in two days.
The value of the segment BA for the similar triangles is equal to 12.6.
How to calculate for BA for the similar trianglesThe triangles ABC and ADE are similar, this implies that the length EA of the smaller triangle is similar to the length CA of the larger triangle
and the length DA of the smaller triangle is similar to the length BA of the larger triangle
so;
DA/BA = EA/CA
DA/(7 + DA) = 3.2/7.2
7.2DA = 3.2(7 + DA) {cross multiplication}
7.2DA = 22.4 + 3.2DA
7.2DA - 3.2DA = 22.4
4DA = 22.4
DA = 22.4/4 {divide through by 4}
DA = 5.6
BA = 7 + DA = 12.6
Therefore, the value of the segment BA for the similar triangles is equal to 12.6.
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please help me will give u extra points :)
• which one do I put by number line?
Answer:C
Step-by-step explanation:
the filled in circle means that it is equal to as well as lesser than or greater than where as a hollow circle means it is just lesser/greater than.
At a carnival game, it cost Sadie $17 to toss 34 rings. Fill out a table of equivalent ratios and plot the points on the coordinate axes provided.
The equivalent ratios for the given cost to toss the ring are found as:
$1 ---> 2 toss20 toss ---> $10Define the term equivalent ratios?When we compare two ratios, they are said to be equivalent. To determine whether two or even more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 as well as 2:4 are equivalent.For the stated question:
The cost to toss 34 rings = $17.
Part a: ___ to $1.
$17 ---> 34 toss
$1 ---> 34/17 toss
$1 ---> 2 toss
Part b:
34 toss ---> $17
20 toss ---> $17*20 / 34
20 toss ---> $10
Thus, the equivalent ratios for the given cost to toss the ring are found as:
2 toss ---> $1
20 toss ---> $10
Thus, the graph is plotted for the points on the coordinate axes.
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The complete question is attached:
A student states
that -x is always equal to a negative
integer. Is the student correct? Justify
your reasoning.
Answer:
Step-by-step explanation:
−x is always equal to a negative integer is an incorrect statement.
The student is not correct.
What is Number system?
A number system is defined as a system of writing to express numbers.
−x is always equal to a negative integer when x is positive integer
a spinner has 20 equally sized sections, 2 of which are green and 18 of which are blue. The spinner is spun and, at the same time , a fair coin is tossed. what is the probability, that the spinner lands on green and the coin toss is tails?
Answer:
The probability of getting the spinner to land on green and coin to show Tails is 1/20
Step-by-step explanation:
p(E) = p(spinner landing on green) = 2/20
p(F) = p(Coin lands on Tails) = 1/2
p(E and F) = p(E) . p(E/F)
p(E and F) = 2/20 . 1/2
p(E and F) = 1/20
The probability of getting the spinner to land on green and coin to show Tails is 1/20
Homer ate 12 more donuts than Bart. Together, they ate 26 donuts. How many donuts did Homer eat?
Answer:
14
Step-by-step explanation:
26-12
Apple = 7, solve for ?
What is the selling price of the bonds?
This announcement is not an offer of securities for sale or an offer to buy securities.
New Issue October 15, 2021
$750,000,000
CRAFT FOODS, INC.
7.75% Debentures Due October 1, 2031
Price 100.5%
1. Is the market rate of interest higher or lower than 7.75% when the Craft Foods bonds were issued.
2. What is the selling price of the bonds?
Answer:
1) It is not specified in the given information whether the market rate of interest is higher or lower than 7.75% when the Craft Foods bonds were issued.
2) The selling price of the bonds is determined by multiplying the face value of the bonds by the price percentage. In this case, the face value of the bonds is $750,000,000 and the price percentage is 100.5%, so the selling price would be:
$750,000,000 x 100.5% = $757,500,000
It's worth noting that the price percentage being 100.5% means that the bonds are being sold at a slight premium (i.e. above face value) and that the yield to maturity is lower than 7.75%.
pls help me and thank u
The height of the cylinder-shaped pool is approximately 0.5 feet. The equation is h = 56.52 / (3.14 × 6²)
What is an equation that could be used to determine the approximate height of the cylinder-shaped pool?The equation to determine the height of a cylinder-shaped pool can be found using the formula for the volume of a cylinder:
V = πr²h
Where V is the volume, π is the constant pi, r is the radius of the pool, and h is the height.
Given that the volume is 56.52 cubic feet and the radius of the pool is 6 feet, we can substitute these values into the equation:
56.52 = π * 6² * h
Dividing both sides by π * 6²:
h = 56.52 / (π * 6²)
Using the approximate value of π as 3.14:
h = 56.52 / (3.14 * 6²)
So the equation to determine the height of the cylinder-shaped pool is:
h = 56.52 / (3.14 * 6²)
And the correct answer choices would be:
h = 56.52 / (π * 6²)
π = 3.14
r = 6
The equation would look like this:
h = 56.52 / (3.14 * 6²)
The equation h = 56.52 / (3.14 * 6²) is used to determine the height of a cylinder-shaped pool.
To find the actual value of h, we need to simplify the equation by substituting the value of π as 3.14 and the radius of the pool as 6:
h = 56.52 / (3.14 * 6²)
h = 56.52 / (3.14 * 36)
h = 56.52 / 113.04
h = 0.5
So the height of the cylinder-shaped pool is approximately 0.5 feet.
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5k < 39
It says
I can determine if k=8 is part of the solution set
Answer:
k=8 is not part of the solution set
Step-by-step explanation:
5(8) < 39
40 < 39
If you plug in 8 for K it makes the inequality incorrect. 40 is not less than 39.
ANSWER QUICKLY!
With the angle of elevation being 5 degrees,
and the height of the pyramid being 481 feet,
what length must the ramp be?
Include a picture below with your work and the solution.
The length of the ramp is 5516.05 feet.
What is a sine function?The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.
Given:
The angle of elevation is 5 degrees,
and the height of the pyramid is 481 feet.
Let x be the length of the ramp.
Then,
Sin(5°) = opposite/ hypotenuse
Sin(5°) = 481 / x
x = 481/ 0.0872
x = 5516.05 feet.
Therefore, the length is 5516.05 feet.
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How many days did Warren work last month?
Could somebody please help me on this question?
Answer:
A
Step-by-step explanation:
Systems of Equations:In a systems of equations we have to set up two equations which relate to each other and in this case we're setting up two linear equations, so let's take a look at the question.
Let's first make an equation from: "A monster pizza, m, has 7 fewer slices than twice the number on a large pizza, l" That means if we subtracted twice the large pizza from monster pizza, we would get 7 slices. [tex]2l-m=7[/tex] and if we multiply by -1 on both sides: [tex]m-2l=-7[/tex]
Now let's use the second piece of information given: "the difference between the number of slices on a monster pizza and the number of slices on a large pizza is 4 slices" this means if we take away 4 slices from the monster pizza we get the same amount of slices on a large pizza: [tex]m-4=l[/tex] and rearranging we get: [tex]m-l=4[/tex] making A the correct option
Please help me with this question.
Hence the answer is
( i ) - 8/27 (ii) -4/9
Given question answer is
( i ) (-2/3)³
= (-2/3) * (-2/3) *(-2/3)
= (-8/27)
( ii ) (-4/3²)
= -4/3*3
= (-4/9)
You must substitute a number for each variable and conduct arithmetic operations to evaluate an algebraic statement. Because 6 + 6 = 12, the variable x in the preceding example is equal to 6. We can evaluate the expression after replacing the variables with their values if we know their values.
When x=4, calculate 2x2+3x+8. When x = 4, calculate 2 x 2 + 3 x + 8. When an expression contains a variable with an exponent, we must exercise caution. This phrase, 2x2 2 x 2, indicates 2xx 2 x x, as opposed to the expression (2x)2 (2 x) 2, which implies 2x2x 2 x 2 x.
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Statistics and Probability
The science of statistics focuses on creating and researching strategies for gathering, analysing, interpreting, and presenting empirical data.
How would you define statistics?Data is frequently presented in graphs, tables, and charts that analyse the data and aid in problem- and decision-solving. Calculating the sample size and population, determining the mean, mode, and median, as well as the standard deviation and variance, are some of the most crucial statistical calculations. Data, which can take the form of words or numbers, are the actual values of the variable.
What are statistics and their various forms?Statistics is a technique for interpreting, analysing, and summarising data in mathematics. In light of these characteristics, the various statistical types are divided into: Statistics that are descriptive and inferential.
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Answer please, thanks
Answer:
y = 4 + 6x
Step-by-step explanation:
Since the original height of the plant was 4 inches, the y-intercept must be four. The text says that after one month, the plant was 10 inches tall, meaning it grew 6 inches in one month. Therefore, the answer is y = 4 + 6x
Three vertices of a parallelogram are shown in the figure below. Give the coordinates of the fourth vertex. xy , (-4,0),(4,-3),(-2,-6)
For given parallelogram which is a quadrilateral, The coordinates of the fourth vertex of parallelogram is (0,3).
what are quadrilaterals?
A quadrilateral is a polygon with four sides, four vertices, and four angles.
It is formed by joining four non-collinear points. The sum of the interior angles of quadrilaterals is always equal to 360 degrees. The word quadrilateral is derived from the Latin words ‘Quadra’ which means four and ‘Latus’ means ‘sides’. Not all the four sides of a quadrilateral need to be equal in length. Hence, we can have different types of quadrilaterals based on sides and angles.
Five special quadrilaterals are shown below in the image, along with their definitions and pictures, and points for them to get proven.
Now,
Let A(-4,0), B(4,-3), C(-2,-6) and D(x,y)
As for parallelogram diagonals bisect each other.
The midpoint of Diagonal AC= The midpoint of BD
((-4+4)/2,(0-3)/2)=(x-2)/2,(y-6)2
x-2=0 y=-3+6
x=0 y=3
Hence,
The coordinates of the fourth vertex of parallelogram is (0,3).
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Determine if the lines are distinct parallel lines. If they are, find an equation of the plane containing the lines. If they are not distinct parallel lines, enter DNE. r1(t) = - (-12t, 3t + 1,6t + 5) r2(t) = (4t – 4, -t +4,5 – 2t) (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the equation in terms of x, y, and z.) equation: _____
The normal vector of the plane containing the lines is the cross product of (-12, 3, 6) and (4, -1, -2), which is (48, -66, 0).
The direction vector of a line is a vector that points in the direction of the line and the position vector of a line is a vector that represents any point on the line.
Let's start with line r1(t) = - (-12t, 3t + 1,6t + 5).
The derivative of r1(t) = - (-12t, 3t + 1,6t + 5) is (-12, 3, 6).
So, the direction vector of line r1(t) is (-12, 3, 6).
We repeat this process for line r2(t) = (4t – 4, -t + 4,5 – 2t).
The derivative of r2(t) = (4t – 4, -t + 4,5 – 2t) with respect to t is (4, -1, -2), so the direction vector of line r2(t) is (4, -1, -2).
If we plug in t = 0 into the line equation, we get the point
=> (4t – 4, -t + 4,5 – 2t) = (-4, 4, 5).
So, the position vector of line r2(t) is (-4, 4, 5).
So, we find the cross product of (-12, 3, 6) and (4, -1, -2). If the cross product is equal to the zero vector, then the lines are parallel.
If not, then the lines are not parallel.
The cross product of (-12, 3, 6) and (4, -1, -2) is (48, -66, 0).
Since the cross product is not equal to the zero vector, the lines are not parallel.
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State three fractions between 1/8 and 1/7
Answer:
the answer is
1/8, 3/24, 5/40
you want to use simulation to estimate the probability of getting exactly one head and one tail in two tosses of a fair coin. you assign the digits 0, 1, 2, 3, 4 to heads and 5, 6, 7, 8, 9 to tails. using the following random digits to execute as many simulations as possible, what is your estimate of the probability? 19226 95034 05756 07118
The probability of getting exactly one head and one tail in two tosses of a fair coin is 0.6
We are asked to estimate the probability of getting exactly one head and one tail in two tosses of a fair coin and it is given that the digits 0, 1, 2, 3, 4 are assigned to heads and 5, 6, 7, 8, 9 are assigned to tails.
By Making a pair of two digits the outcomes on basis of random digits are HT, HH, TT, TH, HH, HT, TT, TH, TH, HT.
Hence, the probability of head and tail = Total pairs with one head and one tail/Total number of pairs
= 6/10
= 0.6
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Please help me with this question.
When revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is the volume occupied between the lines -
x = 4, y = x and x - axis.
Refer to the image attached. The reflection over the {x} axis will occupy more volume as compared to the reflection over the {y} axis. The figure generated in both the cases would be a cuboidal prism structure.
Therefore, when revolved over the {x} axis will occupy more volume as compared to when revolved over the {y} axis.
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Please help me with this question.
Find basis of the kernel and basis of the image of A
The kernel of A is {(0,0,1,0)^T} and the basis is {(1,0,2,4)^T, (0,1,0,-3)^T}.
How to determine the basis of the kernel and basis of the image of AThe kernel of a matrix A is the set of all vectors x such that Ax = 0, where 0 is the zero vector.
To find a basis for the kernel of A, we can row reduce the augmented matrix [A | 0] to reduced row echelon form using Gaussian elimination.
The row reduced echelon form of the matrix A is
1 0 2 4
0 1 0 -3
0 0 0 0
0 0 0 0
Write out the elements in the second column
0 1 0 0
Reverse the elements
0 0 1 0
So, the basis for the kernel of A is {(0,0,1,0)^T}.
The image of a matrix A is the set of all linear combinations of the columns of A.
So, the basis for the image of A is {(1,0,2,4)^T, (0,1,0,-3)^T}.
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The cost to produce x monitors is represented by the expression 350x + 1500. The cost to
produce t x chairs is represented by the expression 175x - 50. Write and simplify an expression
to represent
the cost of x monitors and chairs.
The expression to represent the cost of x monitors and chairs is 525x + 1450.
What is system of equation?A system of equations in algebra consists of two or more equations and looks for common answers to the equations. "A set of equations satisfied by the same set of variables is called a system of linear equations."
Given that:
The cost to produce x monitors is:
350x + 1500
The cost to produce x chairs is:
175x - 50
We have to find the total cost of x monitors and chairs.
Total cost of x monitors and chairs = cost to produce x monitors + cost to produce x chairs
Substitute the equations:
Total cost of x monitors and chairs = (350x + 1500) + (175x - 50)
Total cost of x monitors and chairs = 350x + 1500 + 175x - 50
Total cost of x monitors and chairs = 525x + 1450
Hence, the expression to represent the cost of x monitors and chairs is 525x + 1450.
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A city park is in the Shape of a triangle where the sides have lengths 172m, 186m, and 123m. If a fence was built around the perimeter of the park,how long would the fence need to be
To figure out the perimeter of a triangle, we add up all of the sides.
172 + 186 + 123 = 481
The perimeter is equal to 481m.
If a fence were to be built around the perimeter of the park, it would need to be a length of 481m.