The probability of Casey selecting a tie that goes well with the sport coat is 0.517.
The probability of Casey selecting a tie that does not go well with the sport coat is 0.483
What are the probability and the odds of the tie going well or not going well with the sport coat?The probability of Casey selecting a tie that goes well with the sport coat is:
P(goes well) = 15/29
P(goes well) ≈ 0.517
The probability of Casey selecting a tie that does not go well with the sport coat is:
P(does not go well) = 1 - P(goes well)
P(does not go well) = 1 - 15/29 = 14/29
P(does not go well) ≈ 0.483
The odds in favor of the tie going well with the sport coat are:
P(goes well) : P(does not go well) = 15/29 : 14/29
P(goes well) : P(does not go well) = 15:14
The odds against the tie going well with the sport coat are:
P(does not go well) : P(goes well) = 14/29 : 15/29
P(does not go well) : P(goes well) = 14:15
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If angle a is 125 degrees, what is angle h
The Soule's live on a corner lot. Often, children cut across
their lot to save walking distance. The diagram to the right
represents the corner lot. The children's path is
represented by a dashed line. Approximate the walking
distance that is saved by cutting across their property
instead of walking around the lot.
...
The walking distance that is saved by cutting across the lot is
feet.
X
15 feet
x+3
Answer:
The walking distance that is saved by cutting across the lot is approximately 18 feet.
The table gives the average per capita income, d
, in a region of the country as a function of the percent unemployed, u
.Which equation represents this data algebraically?
Answer:
d=23,000-500u
Step-by-step explanation:
im doing the test
f(x)=4x-3
g(x)-3x+3
find f(9)/g(9)
True or False
This is a Quadratic Equation y=5x+2
The equation is not a quadratic equation. Statement is false.
What is quadratic equation ?A second-order polynomial equation with just one variable, x, is referred to as a quadratic equation. with a ≠ 0 . The fundamental theorem of algebra guarantees that it has at least one solution since it is a second-order polynomial equation. The arrangement might be genuine or complex.
According to question:This is a linear equation in the form y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 5 and the y-intercept is 2. A quadratic equation is an equation in the form y = ax^2 + bx + c, where a, b, and c are constants and x is the variable.
Thus, given equation is not a quadratic equation. Statement is false.
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Can anyone help me??
1. The coordinates of the vertices of the preimage in the first column of the table are; (2, 2), (-1, 2) (-1, 1) (-2, 1) (-2, -2) (1, -2) (1, -1) (2, -1).
2. The scale factor for the dilation is 3
3. The coordinates for the image are, (6,6) (-3, 6) (-3, 3) (-6, 3)(-6, -6) (3, -6) (3, -3)(6, -3)
4. The sketch has been attached below;
5. The dilation multiplies the length of line segments by the scale factor.
6. The dilation did not affect the angle measures. The angles in the image are the same as the angles in the preimage.
How to calculate the scale factor of the image?
To calculate the scale factor for the dilation, we look at what has been provided (x, y) → (3x, 3y)
x =1 x2 = 3
1 multiplied by what will give us 3
1×? = 3
1/1 = 3/1 = 3
If we multiply 3 to every vertices of the preimage, we will find the coordinated of the image.
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What is the measure of Zx?
Angles are not necessarily drawn to scale.
H
A
45
63
I
K
Applying the triangle sum theorem, the measure of angle x is calculated as: m<x = 72 degrees.
What is the Triangle Sum Theorem?In a triangle, when all of its interior angles are added together, the triangle sum theorem states that we will get a sum of 180 degrees.
Therefore, we have:
m<AHI = 63 degrees [based on the corresponding angles theorem]
Considering triangle AHI, applying the triangle sum theorem, we will have the following:
m<x + m<AHI + m<A = 180°
Substitute:
m<x + 63 + 45 = 180°
m<x + 108 = 180°
m<x = 180 - 108 [subtraction property of equality]
m<x = 72 degrees.
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A theme park has a ride that is located in a cylinder with a height of 11 yards.The ride goes around the outside of the cylinder, which has a circumference of 513.88 yards. What is the surface area of the cylinder? Estimate to the nearest hundredth, using 3.14. Apply the formula for surface area of a cylinder SA=2B+Ph
Answer:
To calculate the surface area of the cylinder, we need to find the area of the two circular bases and the lateral surface area.
The formula for the circumference of a circle is:
C = 2πr
where C is the circumference and r is the radius. We can rearrange this formula to solve for the radius:
r = C/2π = 513.88/(2 x 3.14) = 81.91 yards
The formula for the area of a circle is:
A = πr^2
where A is the area and r is the radius. We can use this formula to find the area of one of the circular bases:
B = πr^2 = 3.14 x 81.91^2 = 21,237.93 square yards
The formula for the lateral surface area of a cylinder is:
P x h
where P is the perimeter of the base and h is the height. We can use the formula for the circumference to find the perimeter of the base:
P = C = 513.88 yards
Now we can calculate the lateral surface area:
L = P x h = 513.88 x 11 = 5,652.68 square yards
Finally, we can use the formula for the surface area of a cylinder:
SA = 2B + L = 2(21,237.93) + 5,652.68 = 48,128.54 square yards
Therefore, the surface area of the cylinder is approximately 48,128.54 square yards when rounded to the nearest hundredth.
The Celluloid Collar Corporation has $120,000 in tax loss carryforwards. The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of _________ for Celluloid Collar Corporation’s carryforward alone.
Group of answer choices
$18,000
$25,200
$44,100
$20,000
The Bowstring Shirt Company, a firm in the 21% tax bracket, would be willing to pay (on a non-discounted basis) the sum of $25,200 for Celluloid Collar Corporation’s carryforward alone.
What is the non-discounted sum?The value of Celluloid Collar Corporation's tax loss when it is said to be carryforward to Bowstring Shirt Company will be be calculated using the steps below
Value = Tax Loss Carryforward x Tax Rate
Value = $120,000 x 21%
= $25,200
Therefore, Bowstring Shirt Company have to pay $25,200 for Celluloid Collar Corporation's tax loss to be carryforward.
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3. Write the following using exponential notation:
(5.
5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7)
Answer:
5.5.5.5.5.5.5.5.5 in exponential notation is 5^9
7.7.7.7.7.7.7.7.7.7.7.7.7.7 in exponential notation is 7^13
Therefore, (5.5.5.5.5.5.5.5.5) (7.7.7.7.7.7.7.7.7.7.7.7.7.7) in exponential notation is:
5^9 * 7^13
There is a straight road between town 4 and town B of length 130 km. Maxi travels from town 4 to town B. Pippa travels from town B to town A. Both travel at a constant speed of 40 km/h. Maxi leaves 30 minutes before Pippa. Work out how far from town A they will be when they pass each other
The distance from town A that they will be, when they will pass each other is 44 4/9 .
How can the distance be calculated?It should be noted that time traveled in each segment is constant, which implies that in this case the average speed can be regarded as the simple mean of speeds. An in the case whereby the distance traveled in each segment is constant, average speed can be described to be the reciprocal of simple mean .
This can be expressed mathematically as
Average speed = Reciprocal [ 1/40 & 1/50].
Average speed = Reciprocal of (1/40 + 1/50)/2
= Reciprocal of [(5+4)/400]
= 44 4/9 .
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Find the perimeter of each figure
The hexagon with sides of length 5 inches, 4 inches, 4 inches, 5 inches, 3 inches, and 3 inches has a perimeter of 24 inches.
What is a hexagon?A hexagon is a regular polygon, meaning all sides and angles are equal in size. It is a symmetrical shape, which means it can be divided into two equal halves.
To calculate the perimeter of this hexagon, we must first identify the length of each side.
All sides of the hexagon have a length of either 5 inches, 4 inches, or 3 inches, as there are two sides of each length.
The perimeter of the hexagon is the sum of the length of all its sides. Adding the length of all the sides, we get
5 + 4 + 4 + 5 + 3 + 3 = 24.
Thus, the perimeter of the hexagon is 24 inches.
Hence, the sum of the length of the sides of a hexagon is always greater than the length of any one of its sides.
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PLEASE HELP ME!
LaNiyah uses 2 eggs to make brownies, 3 eggs to make a cake, and 6 eggs to make a soufflé. In all, she has one gross of eggs (that’s 144 eggs). If she only makes brownies and soufflés and she uses all the eggs, write an equation to model the eggs used.
An equation that models the eggs used by LaNiyah is 2b + 6s = 144.
What is an equation?An equation is a mathematical statement that shows that two or more mathematical expressions are equal or equivalent.
Equations contain the equal symbol (=), unlike mathematical expressions that combine variables with numbers, and constants using mathematical operands only.
The number of eggs used to make brownies per unit = 2
The number of eggs used to make cakes per unit = 3
The number of eggs used to make soufflés per unit = 6
The total number of eggs used = 144
Let the total number of brownies made = b
Let the total number of soufflés made = s
Equation:2b + 6s = 144
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What are the x-intercepts of the function f(x)= 4x^2-36 over x-9?
Therefore , the solution of the given problem of function comes out to be f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.
Describe function.On the midterm exam, there will be a variety of inquiries in each subject, including inquiries concerning both hypothetical and actual places as well as inquiries relating the creation of numerical variables. a diagram showing the relationships between different elements that cooperate to generate the same result. A service is composed of numerous distinctive components that cooperate to create distinctive results for each input.
Here,
Setting the y-value (or output) of a function to zero and then solving for the corresponding x-values will allow us to determine the x-intercepts of the function.
The function in this instance is f(x) = (4x² - 36)/(x - 9)
=> 4x² - 36 = 0
To make the equation simpler, we can factor out a 4:
=> 4(x² - 9) = 0
We can factor further based on the difference of squares we now have:
=> 4(x + 3)(x - 3) = 0
We may determine the x-values where the function crosses the x-axis by setting each element to zero:
=> x + 3 = 0 or x - 3 = 0
To find x, solve for:
=> x = -3 or x = 3
The function f(x) = (4x² - 36)/(x - 9) has -3 and 3 as its x-intercepts.
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Find the value of m + n + 22 if m is 34 and n is 47.
A political pollster wants to know what proportion of voters are planning to
vote for the incumbent candidate in an upcoming election. A poll of 150
randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent
candidate.
Based on this sample, which of the following is a 90% confidence interval
for the proportion of all voters who plan to vote for the incumbent
candidate?
Choose 1 answer:
780.067
78±0.080
0.520.067
The confidence interval is 0.52±0.067.(option c)
What is confidence interval?
In statistics, confidence interval means that the probability in which a population parameter will fall between a set of values for a certain proportion of times.
A political pollster wants to know what proportion of voters are planning to
vote for the incumbent candidate in an upcoming election. A poll of 150
randomly selected voters is taken from the more than 2,000 voters in the
population, and 78 of those selected plan to vote for the incumbent
candidate.
The formula for confidence interval(CI) is given by:
CI= p ± z √{p(1-p)/n} ----------------(1)
Here from the given data p= 78/150= 0.52
n= 150
For 90% confidence interval the value of z= 1.645.
Putting all the values in equation (1) we get,
CI= 0.52± 1.645√{(0.52×0.48)/150}
= 0.52±1.645×0.04
= 0.52±0.067
Hence, the confidence interval is 0.52±0.067.
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what is the mean absolute deviation of 8,2,7,8,6,10,2,1,10,6
Answer:
The mean absolute deviation of 8,2,7,8,6,10,2,1,10,6 is 2.24.
To calculate the mean absolute deviation, we first need to find the mean of the data set. The mean is the sum of all the values in the data set divided by the number of values. In this case, the mean is 7.
Once we have the mean, we can find the mean absolute deviation by finding the absolute value of the difference between each value in the data set and the mean. For example, the absolute value of the difference between 8 and 7 is 1. We then add up all of the absolute values and divide by the number of values in the data set. In this case, the mean absolute deviation is 2.24.
Here is the formula for the mean absolute deviation:
```
MAD = (|x1 - μ| + |x2 - μ| + ... + |xn - μ|) / n
```
Where:
* MAD is the mean absolute deviation
* x1, x2, ..., xn are the values in the data set
* μ is the mean of the data set
* n is the number of values in the data set
Step-by-step explanation:
please help me quick! here is screenshot algebra
The function that is even is f(x) = 6x² - 8.
option C.
What is an even function?An even function is a function that satisfies the condition f(-x) = f(x) for all values of x in its domain. In other words, an even function is symmetric with respect to the y-axis.
The function that is even is calculated as follows;
f(x) = 5x² - x
f(-x) = 5(-x)² - (-x)
f(-x) = 5x² + x
f(x) ≠ f(-x)
f(x) = 3x³ + x
f(-x) = 3(-x)³ + (-x)
f(-x) = -3x³ - x
f(x) ≠ f(-x)
f(x) = 6x² - 8
f(-x) = 6(-x)² - 8
f(-x) = 6x² - 8
so f(x) = f(-x), this function is even.
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PLEASE HURRY
Let u = - 2i + 5j v = 6i - j and w oplus=81 Find 3u - (5v - w)
Answer: ⬇️
Step-by-step explanation:
Given, u=(2,4,−5) and v=(1,−6,9).Now,3u−5v=3(2,4,−5)−5(1,−6,9)=(1,42,−60).
5 years ago i was 5 times older then my son. in 8 years time i will be 3 times older then my son. how old am i today?
Answer:
70 , 18
Step-by-step explanation:
Keeping x as Father and y as son;
5 years ago Person X was 5 times older than Person y , so the equation will be:
x - 5= 5(y-5)
x = 5y - 20
simularily after 8 years , x will be 3 times older than y , so
x + 8 = 3(y + 8.)
I will now try to find y by equating value of x into y:
5y - 20 + 8 = 3y + 24
5y - 3y = 24 + 20 - 8
2y = 44 - 8 = 36
y = 18
so x will be = 5 (18) - 20.
x = 90-20 = 70 years.
therefore father is 70 years , and son is 18 years old.
Suppose that the length of the three sides of a right triangle are consecutive whole numbers. What is the length of the longest leg?
The length of the longest leg in the right triangle is 5 units
What is the length of the longest leg?Let x be the length of the shortest leg. Then the other leg has length x + 1, and the hypotenuse has length x + 2.
By the Pythagorean Theorem, we have:
x^2 + (x + 1)^2 = (x + 2)^2
Set x = 3
So, we have
3^2 + (3 + 1)^2 = (3 + 2)^2
Evaluate
25 = 25
The above equation is trie
So, we have
Longest = x + 2
Longest = 3 + 2
Evaluate
Longest = 5
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helpppp helppppp helppppp
Answer:
No, i do not believe i have learned this yet so good luck bestiee
S=4lw +2wh s=92 l=9 w=2
Answer:
h=5
Step-by-step explanation:
Substituting in 92 for s,
92=4lw+2wh
Substituting in 9 for l,
92=4(9)(w)+2wh
Substituting 2 for w,
92=4(9)(2)+2(2)(h)
Simplifying by multiplying terms
92=72+4h
Subtract 72 on both sides
20=4h
Divide by 4 on both sides
5=h
PLEASE HELP ME QUICK!!!!
Answer:
B. $7.50
Step-by-step explanation:
We know profit or P-----P(n) where n is the quantity/number of the item) is the difference of the revenue-----R(n)-----and the cost-----C(n)
P(n) = R(n) - C(n)
Revenue is
the product of price (p) of the item and, number/quantity (n) of the item:R(n) = pn
Cost is a combination of
fixed costs (represented by a constant (c), as the business or Indvidual making a profit must pay a certain cost, even if they don't make any of their items) and, variable costs (this costs changes depending on the number/quantity of the item and is the product of the marginal cost (m) and the number/quantity (n) of the item)The cost function resembles a linear equation:
C(n) = mn + c
Since we're shown that P = 7.5n - (2.25n + 15), we know that R(n) must be R(n) = 7.5n and C(n) must be C(n) = 2.25n + 15
Thus, we know she charges $7.5 per necklace sold.
Plssss help me quickly
Answer:
36
Step-by-step explanation:
First you calculate the area of the rectangle. then you substract the area of the triangle.
The area of a rectangle is equal to the product of its length and breadth. In other words, if the length of a rectangle is ‘l’ and its breadth is ‘b’, then its area ‘A’ can be calculated as A = l x b= 6*8= 48
The area of a triangle can be calculated using the formula A = 0.5 x b x h where ‘b’ is the length of the base of the triangle and ‘h’ is its height. so A =0.5*8*3 = 12
Area of the figure = 48-12=36
The diagonal of a square is 32 cm. What is the length of one side of the square rounded to the nearest tenth?
The length of the square with a diagonal of 32 cm is 22.6 cm.
What is a square?A square is a plane shape with all sides and angles equal.
To calculate the length of the square from its diagonal, we use Pythagoras formula
Formula:
d² = l²+l².................... Equation 1Where:
d = Diagonal of the squarel = length of the squareFrom the question,
Given:
d = 32 cmSubstitute these values into equation 1 and solve for l
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Beth pulls a slinky a distance of 24 inches from its equilibrium position and then releases it. The time for one oscillation is 2 seconds. Step 2 of 2 : Find the function in terms of t for the displacement of the slinky. Assume that the slinky is at its maximum displacement at t=0 . Also assume that the function includes no horizontal or vertical shifts.
The final function for slinky displacement is: 24 sin(t/2 - /2) d(t). This offers the displacement in inches as a function of time in seconds.
How to Solve the Problem?A sinusoidal function of the form: can be used to describe the slinky's displacement.
A sin(t + ) = d(t).
where A is the greatest displacement, is the angular frequency (2 divided by the period), and is the phase angle (starting phase).
We know the slinky's greatest displacement (amplitude) occurs at t=0, thus we have:
24 inches = d(0) = A sin()
We also know that the period is T=2 seconds because the time for one oscillation (i.e., one complete cycle) is 2 seconds. As a result, the angular frequency is:
ω = 2π / T = π radians/second
The phase angle can be calculated using the fact that the slinky is at its equilibrium position at t=T/4=0.5 seconds. At this time, the sine function's argument is:
= 2 / T = radians per second
The phase angle can be calculated using the fact that the slinky is at its equilibrium position (zero displacement) at t=T/4=0.5 seconds. At this time, the sine function's argument is:
ωt + φ = π/2
When we substitute the known values, we get:
π/2 + φ = 0.5π
φ = -π/2
As a result, the slinky's displacement function is:
A sin(t/2 - /2) = d(t).
We may utilize the information that the amplitude is 24 inches to calculate A:
A = |24| = 24
As a result, the final function for slinky displacement is:
24 sin(t/2 - /2) d(t)
This offers the displacement in inches as a function of time in seconds.
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Someone help i really need help with this
The cost of each admission tickets is 37.5 dollars.
How to find the cost in dollars of each admission ticket?Ms Boi spent a total of 175 dollars for 4 admission ticket and for parking at a baseball game. The cost of each admission ticket was the same amount, including tax. The cost of the parking was 25 dollars.
Therefore, the equation that can be use to determine the cost, i of each admission ticket can be represented as follows:
Therefore,
175 = 4i + 25
subtract 25 from both sides of the equation
175 = 4i + 25
175 - 25 = 4i + 25 - 25
150 = 4i
divide both sides by 4
i = 150 / 4
i = 37.5 dollars
Therefore,
cost of each admission ticket = 37.5 dollars
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A pair of standard dice are rolled. Find the
probability of rolling a sum of 3 with these dice.
A plane is flying at a speed of 320 miles per hour on a bearing of N65°E. Its ground speed is 390 miles per hour and its true course, given by the direction angle of the ground speed vector, is 30°. Find the speed, in miles per hour, and the direction angle, in degrees, of the wind.
The speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.
We are given the speed of a plane on a bearing of N [tex]75^\circ[/tex] E and its ground speed. We have to find its speed in miles per hour and the direction angle in degrees. We will apply the formula of projection for both the x-axis and y-axis.
As we know, projection, R = V + W
Now, the x-axis projection will be R cos[tex]15^\circ[/tex] according to the angle given to us. Therefore, R cos [tex]15^\circ[/tex] = V cos[tex]30^\circ[/tex] + [tex]W_{x}[/tex]
The y-axis projection,
R sin [tex]15^\circ[/tex] = V sin [tex]30^\circ[/tex] + [tex]W_{y}[/tex]
From here, now we will find [tex]W_{x}{[/tex] and [tex]W_{y}[/tex]
[tex]W_{x}{[/tex] = 330 cos[tex]15^\circ[/tex] - 390 cos[tex]30^\circ[/tex]
[tex]W_{x}[/tex] = -19 miles/hour
[tex]W_{y}[/tex] = 330 sin[tex]15^\circ[/tex] - 390 sin[tex]30^\circ[/tex]
[tex]W_{y}{[/tex] = -109.6 miles per hour
Now, W = [tex]\sqrt{(W_{x})^{2} + (W_{y})^{2{}}[/tex]
W = [tex]\sqrt{(-19.0)^{2} + (-109.6})^{2{}}[/tex]
W = 111.2 miles/hour
Now, we will find the angle with the help of tan θ.
tan θ = [tex]\frac{W_{y}}{W_{x}}[/tex]
tan θ = [tex]\frac{-109.6}{-19.0}[/tex]
θ = [tex]tan ^{-1} (\frac{109.6}{19.0})[/tex]
θ = 260.[tex]2^\circ[/tex]
Therefore, the speed in miles per hour is 111.2 and the direction angle in degrees is 260.2.
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