Answer:
rectangles 1 and 2 are similar
Step-by-step explanation:
Geometric figures are similar if corresponding sides are proportional.
__
We can form the ratios of (long side)/(short side) to see which rectangles are similar:
1: long side = 6, short side = 4. (long side)/(short side) = 6/4 = 3/2
2: long side = 9, short side = 6. (long side)/(short side) = 9/6 = 3/2
3: long side = 8, short side = 5. (long side)/(short side) = 8/5
Only rectangles 1 and 2 have corresponding sides in the same ratio.
Rectangles 1 and 2 are similar.
Using the graph, determine the coordinates of the vertex of the parabola.
Answer:
vertex is 1, -6
Step-by-step explanation:
value of b in the quadratic equation 3x/4=1/x
The following confusion matrix for a classification method with Class 0 and Class 1 was found by Data Mining: Confusion Matrix Predicted Class Actual Class 0 1 0 105 53 1 32 110 What are the percent error rates for Class 0 and Class 1? a. 31.65% and 22.54%, respectively b. 33.54% and 22.54%, respectively c. 10.71% and 41.25%, respectively d. 45.37% and 46.67%, respectively
Answer:
b. 33.54% and 22.54%, respectively
Step-by-step explanation:
Confusion Matrix
Predicted Class
Actual Class 0 1 Total
0 105 53 158
True Positive False Negative
TP FN
1 32 110 142
False Positive True Negative
FP TN
Total Error Rate = FN +FP/ P +N
Total Error Rate = 53+32/ 105+32+53+110
Total Error Rate = 85/300 = 28.33%
Error Rate for Class 0 = FP/ FP+TP= 32/142 = 22.53%
Error Rate for Class 1= FN/ FN+TP= 53/ 158= 33.54%
Determine the midpoint of the line segment shown in the figure below
Answer:
.05,.05
Step-by-step explanation:
2secx=1/1-sinx+1/1+sinx
Answer:
Below in bold.
Step-by-step explanation:
1/(1 - sin x) + 1/(1 + sinx)
= (1 + sin x + (1 - sin x) ) / 1 - sin^2 x
= 2 / (1 - sin^2 x)
= 2 / (cos^2 x)
= 2 sec^2 x
So 2 sec x = 2 sec^2 x
sec^2 x - sec x = 0
sec x(sec x - 1) = 0
giving sec x =0 or sec x = 1.
sec x cannot be 0 so sec x = 1
this gives x = 0 , 360 degrees ( where 0 =< x <= 360)
Solve for x and graph the answer on a number line
2
The solution to the system of inequalities in interval notation is [-2, 1].
How to solve the system of inequalities?Based on the information provided in the image below, we have the following system of inequalities;
-12 < 3x - 6
-3 ≥ 3x - 6
By adding 6 to both sides of the equation (inequality), we have;
-12 < 3x - 6
-12 + 6 < 3x - 6 + 6
-6 < 3x
-2 < x
x > -2 (flip)
-3 ≥ 3x - 6
-3 + 6 ≥ 3x - 6 + 6
3 ≥ 3x
1 ≥ x
x ≤ 1
Therefore, the solution to the system of inequalities is given by:
-2 < x ≤ 1
In interval notation, we have [-2, 1].
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
what is the answer pls Question 29 of 45
In the triangle below, what is the length of MN?
OA. 50
OB. 100
OC. 20
OD. 40
50
20
M
50
The calculated length of the segment MN in the triangle is 20
How to find the length of the segment MN in the triangleFrom the question, we have the following parameters that can be used in our computation:
The triangle
The third angle in the triangle is calculated as
Third angle = 180 - 50 - 50
Evaluate
Third angle = 80
The length of the segment MN is then calculated as
MN/sin(50) = 20/sin(50)
This gives
MN = sin(50) * 20/sin(50)
Evaluate
MN = 20
Hence, the length of the segment MN in the triangle is 20
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2. Six months after John William becomes a shareholder, Peixotto Media announces
its first shareholder meeting. Because the co-presidents will be making some very
important announcements about decisions that will be voted upon by the
shareholders, John William attends. He finds that of the 20,000 shares that have
been offered so far, the shareholders who attend the meeting own 6,000 of them.
a. The co-presidents propose adding a new member to the company's board of
directors. The shareholders are allowed to vote on this matter. What percentage of
the total vote will John William control? (2 points)
b. The company's co-presidents announce that Peixotto Media will be issuing
another offering of stock, this time in the amount of 50,000 shares. Given his
preemptive rights as an existing shareholder, how many shares of this stock is John
William entitled to purchase before the offering is made to the public? (3 points)
John William is entitled to purchase 15,000 shares before the offering is made to the public.
a. To calculate the percentage of the total vote John William will control, we need to find the proportion of shares he owns out of the total shares represented at the meeting.
John William owns 6,000 shares out of the 20,000 shares offered so far. Therefore, the proportion of shares he owns is 6,000/20,000, which simplifies to 3/10 or 0.3.
To convert this proportion to a percentage, we multiply by 100:
Percentage of the total vote = 0.3 * 100 = 30%
Thus, John William will control 30% of the total vote at the. shareholder meeting.
b. Preemptive rights allow existing shareholders to purchase new shares before they are offered to the public. To determine the number of shares John William is entitled to purchase, we need to calculate the proportion of his current ownership.
John William owns 6,000 shares out of the total shares offered so far, which is 20,000. Therefore, his ownership proportion is 6,000/20,000, or 3/10.
If Peixotto Media plans to issue 50,000 new shares, John William's entitlement would be:
Entitlement = (3/10) * 50,000 = 15,000 shares.
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1/4(x+1)-6=-5 solve for x
Answer:
x=3
Step-by-step explanation:
Multiply to remove the fraction, then set equal to 0 and solve.
7. A large population of ALOHA users manages to generate 60 requests/s, including originals and retransmissions. Time is slotted in units of 50 ms. (Page 265 in the book may provide some help with this question.) (12 pts) a) What is the chance of success on the first attempt
Answer:
P(success at first attempt) = 0.1353
Step-by-step explanation:
This question follows poisson distribution. Thus, the formula is;
P(k) = (e^(-G) × (G)k)/k!
where;
G is number of frames generated in one frame transmission time(or frame slot time)
Let's find G.
To do this, we need to find number of frames generated in 1 slot time which is given as 50 ms.
Now, in 1000 ms, the number of frames generated = 50
Thus; number of frames generated in 50 ms is;
G = (50/1000) × 50
G = 2.5
To find the chance of success on the first attempt will be given by;
P(success at first attempt) = P(0) = e^(-G) = e^(-2) = 0.1353
If g(x)=(1/4)^x, find g(-3)
G(x) = (1/4)^x
Find g(-3) this means to replace x with -3
G(-3) = (1/4)^-3
Apply the negative exponent rule :
A^-b = 1/a^b
G(-3) = 1/(1/4)^3
G(-3) = 1/ (1/64)
G(-3) = 64
Answer: 64
The probability of any player winning 1 of 4 games is shown in the table. Three friends are going to play one of the games. The friends want to play the fairest game. Which game should they play? A) Game #1 B) Game #2 C) Game #3 D) Game #4
Answer:
Game #1B is the correct answer i guess so
The value of cos(alpha+beta) given sin(alpha)=40/41 and sin(beta)=15/17
Since
\(\begin{gathered} \sin (\alpha)=\frac{40}{41}, \\ \sin (\beta)=\frac{15}{17}, \end{gathered}\)then
\(\begin{gathered} \cos (\alpha)=\frac{\sqrt[]{41^2-40^2}}{41}=\frac{9}{41}, \\ \cos (\beta)=\frac{\sqrt[]{17^2-15^2}}{17}=\frac{8}{17}\text{.} \end{gathered}\)Now, recall that:
\(\begin{gathered} \cos (\alpha+\beta)=\cos (\alpha)\cos (\beta)-\sin (\alpha)\sin (\beta), \\ \sin (\alpha+\beta)=\sin (\alpha)\cos (\beta)+\cos (\alpha)\sin (\beta), \\ \tan (\alpha+\beta)=\frac{\tan (\alpha)+\tan (\beta)}{1-\text{tan(}\alpha)\tan (\beta)}\text{.} \end{gathered}\)Therefore:
\(\cos (\alpha+\beta)=\frac{9}{41}\times\frac{8}{17}-\frac{40}{41}\times\frac{15}{17}=\frac{72}{697}-\frac{600}{697}=-\frac{528}{697}\text{.}\)Answer:
\(\cos (\alpha+\beta)=-\frac{528}{697}\text{.}\)ASAP!!! NEED AN ANSWER
In this budget scenario, use 15 per hour as the current wage for 40 hour work weeks. Hint: There are 52 weeks in a year, and 12 months in a year.
1. What is the gross yearly income?
2. What is the gross monthly income using this pay rate?
1)Gross Yearly Income = Hourly Wage × Hours per Week × Weeks in a Year
Gross Yearly Income = $15/hour × 40 hours/week × 52 weeks/year
Gross Yearly Income = $31,200
2)Gross Monthly Income = Gross Yearly Income / Months in a Year
Gross Monthly Income = $31,200 / 12 months
Gross Monthly Income ≈ $2,600
Does anyone know this answer??
Answer:
96.25%
Step-by-step explanation:
The empirical rule regarding mean and standard deviation is that
Around 68% of scores are between 40 and 60.Around 95% of scores are between 30 and 70.Around 99.7% of scores are between 20 and 80.Therefore between mean and +2 standard deviation or between mean and -2 standard deviation you will find approximately 95/2 = 47.5% of the values
Between mean and ± 3 standard deviations you will find approximately 97.5/2 = 48.75% of the values
Therefore between 2 standard deviations above and 3 standard deviations below you will find approximately 47.5 + 48.75 = 96.25% of values
Simplify this expression: 4(1-2b)+7b-10
Answer:
-b-6
Step-by-step explanation:
4(1-2b)+7b-10 multiply inside the parenthesis with 4
4 - 8b + 7b - 10 now add like terms
-b - 6
Answer:
-b-6
Step-by-step explanation:
\(4(1-2b)+7b-10\\\)
Expand
\(4\left(1-2b\right):\quad 4-8b\)
\(=4-8b+7b-10\)
Simplify
\(\mathrm{Simplify}\:4-8b+7b-10:\\\\\quad -b-6\)
The length of tile B is about 3.16228 inches. Which mark on the tape measure is closest to 3.16228 inches? Remember, the tape measure is marked in sixteenths of an inch.
The closest mark on the tape measure to 3.16228 inches in eighths of an inch is the mark for 25 eighths of an inch.
What is the mark on the tape?
To find the closest mark on the tape measure to 3.16228 inches, we need to convert 3.16228 inches to sixteenths of an inch, which is the unit used on the tape measure.
We can start by multiplying 3.16228 by 16 to convert it to sixteenths of an inch:
3.16228 * 16 = 50.59648
Next, we can round 50.59648 to the nearest whole number, which is 51. This means that the closest mark on the tape measure to 3.16228 inches is the mark for 51 sixteenths of an inch.
Note that we can also convert 3.16228 inches to eighths of an inch by multiplying by 8, which gives us:
3.16228 * 8 = 25.29824
Rounding 25.29824 to the nearest whole number gives us 25. This means that the closest mark on the tape measure to 3.16228 inches in eighths of an inch is the mark for 25 eighths of an inch.
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A patio is made of two sections. One is shaped like a trapezoid, and the other like a semicircle. The bases of the trapezoid are 12
feet and 8
feet. The height of the trapezoid is 4
feet. The diameter of the semicircle is the same as the trapezoid’s shorter base.
The Area of Patio is 65.12 ft².
We have,
Bases of Trapezoid = 12 feet and 8 feet
Height of Trapezoid= 4 feet
So, the Area of Trapezoid
= 1/2 (Sum of base) x height
= 1/2 (12+8 ) x 4
= 1/2 x 20 x 4
= 10x 4
= 40 square feet
Now, Radius of semi circle = 8/2 = 4 feet
So, Area of semicircle
= (1/2)πr²
= 1/2 (3.14)(16)
= 25.12 square feet
Thus, Area of patio
= 40 + 25.12
= 65.12 ft²
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y=9/4×2
sketch the graph of f and f on the same set of axes
The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.
The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.
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Marisol is making bracelets and rings to sell at a craft fair She plans to sell each bracelet for $6 and each ring for $8. The craft fair committee charges a $25 fee to sell at the fair, and it costs Marisol $2 to make a bracelet and $4 to make a ring. If Marisol wants to sell at least $600 in jewelry and spend less than $300 for supplies and the fee, which system of inequalities represents the situation? Let b represent the number of bracelets and r represent the number of rings.
The equation that represent the number of bracelets b and the number of rings r is 6b + 8r > 600 and 2b + 4r < 275, hence, option A is correct.
Let b represent the number of bracelets and r represent the number of rings that Marisol makes. Marisol plans to sell each bracelet for $6 and each ring for $8. So the amount she earns from selling bracelets is 6b and the amount she earns from selling rings is 8r.
The craft fair committee charges a $25 fee to sell at the fair. So Marisol's total earnings after paying the fee is 6b + 8r - 25. It costs Marisol $2 to make a bracelet and $4 to make a ring. So the total cost of making b bracelets and r rings is 2b + 4r. To make a profit, Marisol's earnings must be greater than her costs,
6b + 8r - 25 > 2b + 4r
Simplifying this inequality, we get,
4b + 4r > 25
We also know that Marisol wants to sell at least $600 in jewelry. This can be expressed as,
6b + 8r > 600
Finally, Marisol wants to spend less than $300 for supplies and the fee. This can be expressed as,
2b + 4r + 25 < 300
Simplifying this inequality, we get,
2b + 4r < 275
Therefore, the system of inequalities that represents the situation is,
6b + 8r > 600
4b + 4r > 25
2b + 4r < 275
where b represents the number of bracelets and r represents the number of rings that Marisol makes.
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fred has 20 dollars to spend on 3 gifts. He spent 9 1/4 dollars on gift A and 4 4/5 dollars on gift B. How much money did he have left for gift C?
Answer:
Step-by-step explanation:
Your answer
Money left for gift c is = 5 19/20
Mark it as Brainlist answer. Follow me.
Solve the inequality graphically.
3-* > 6*
a. x < 1
b.X>1
C.X>0
d. x <0
Answer:
Simplify the expression.
−
729
Step-by-step explanation:
your wlecome
3 to 2 if there are 120 children who like pizza, how many total
Answer:
320
Step-by-step explanation:
Is the 3 to 2 part to part? Out of every 5 people, 3 prefer pizza and 2 do not. We can us this to set up a proportion.
3/5 = 120/x The 3 represent the part that like pizza over the whole of 5. The second ratio is showing the actual number of people that liked pizza over the total number of people.
What would be multiply 3 by to get 120? 40. So, we will multiply 5 times 40 to get the total number of people. 5 x 40 = 200
i need help on this asap pls help??
Answer:
Step-by-step explanation:
Your answer is correct, but you need both the positive and the negative of the square root of 3. You only listed the positive one.
What type of angle is this
what are three ratios that are equivalent to 8 5
Answer:
15:24, 20:32 and 40:64.
Step-by-step explanation:
hope this helps
Answer:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
Step-by-step explanation:
The ratios that work is 15:24 because 5 x 3= 15, 24 x 3 = 24 as they both have a 3 as factors. There's also 20:32 as they both have a 4 as factors and lastly 16:10 because they both have a 2 as factors.
what is 1 plus 1 2+2 sara has this much how can she divide it to her 1 friend and her?
Answer: 7.5 each
Step-by-step explanation:
15/2
Please awnser asap I will brainlist
The element of A n B is { 7, 8}
What is set?A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.
For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.
The sign 'n' means intersection and this means what is common to two or more set.
If set A = { 1,2,5,7,8}
set B = { 6,7,8,9}
then we can see that 7 and 8 are common to both sides, then
A n B = { 7,8}
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Juan randomly surveys students in the seventh grade to learn about their favorite type of music. Of 30 respondents, 8 liked to listen to rap mus Part A Based on Juan's data, how many of the 150 students in seventh grade like to listen to rap music?
Answer: 40
Step-by-step explanation:
150 / 30 = 5
8 x 5 = 40
40 of 150 students is equivalent to 8 of 30 students.
What type of association does the graph show?
A. positive nonlinear
B. positive linear
C. negative nonlinear
D. negative linear
Answer:
B. Positive linear
Step-by-step explanation:
First, this graph is a linear graph because a linear graph is a straight line. The graph in the diagram is also a straight line, so it is linear.
Also, notice how as x increases, y increases. This means that the graph is positive