Answer:
A) similar; SSS similarity
Step-by-step explanation:
You have to find the proportion by dividing each side to the according side
35/14 = 2.5 - S/D
20/8 = 2.5 - R/E
30/12 = 2.5 - Q/F
Answer:
A B AND C
Step-by-step explanation:
The answers are
abcJerry is trying to earn $209 for some new video games. If he charges $47 to mow a lawn, how many lawns will he need to mow to earn the money. (please show your work)
c) Your aunt is running for mayor and hires you to question a random sample of 500 voters about their concerns in local politics. In particular, for each voter, she wants to know if there is a relationship between gender and whether they favor or oppose a bond referendum.
Type of Research:
ndependent:
Dependent:
Unit of Variable:
Sample:
Population:
Analytical Statistical
The type of research that is most suitable for this research question is a descriptive research design because it will help in identifying whether there is a relationship between gender and whether they favor or oppose a bond referendum.
A descriptive research design is a scientific method used to describe the characteristics of the population or phenomenon being studied. It is mainly concerned with providing the characteristics of a particular group. It involves collecting data in order to answer the research question. Independent variable: Gender Dependent variable: Whether they favor or oppose a bond referendum Unit of Variable: Each Voter Sample: 500 voters Population: All your aunt who is running for mayor has hired you to question a random sample of 500 voters about their concerns in local politics. The research design that is suitable for this research question is a descriptive research design. The independent variable in this research is gender while the dependent variable is whether they favor or oppose a bond referendum.
The unit of variable in this research is each voter, the sample is 500 voters, and the population is all voters.
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write an expression that is equivelent to 1/4x +1 3/4x- 2/3-1/2x
The expression equivalent is 9+2x/6x
What is a fraction?A fraction is a part of a whole. It is the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator. In a proper fraction, the numerator is less than the denominator
1/4x +1 3/4x - 2/3-1/2x
1/4x + (4x + 3/4x) - 2/3 - 1/2x
(1 + 4x + 3)/4x - (4x - 3)/6x
4 + 4x/4x - 4x - 3/6x
(3(4 + 4x) - 2(4x - 3))/12x
(12 + 12x - 8x + 6)/12x
(18 + 4x)/12x
(9 + 2x)/6x
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A sample of 46 task has been considered and was analyzed. It was found out that the values 35 and 2.9 are obtained for the sample mean and the population standard deviation, respectively. Construct a 95% confidence interval for the population mean. Solve the following questions and express your final answer in 2 decimal places whenever possible.lower confidence interval of the population mean
The lower confidence interval of the population mean is 34.16.
To construct a 95% confidence interval for the population mean, we can use the formula:
CI = sample mean ± (z-score)(standard error)
Where the z-score is determined by the level of confidence and can be found using a z-table or calculator. For a 95% confidence interval, the z-score is 1.96.
The standard error can be calculated using the formula:
standard error = population standard deviation / √(sample size)
Substituting the given values, we get:
standard error = 2.9 / √46 = 0.427
Now we can plug in the values into the formula to get the confidence interval:
CI = 35 ± (1.96)(0.427) = 35 ± 0.837
The lower confidence interval of the population mean is obtained by subtracting the margin of error from the sample mean:
lower confidence interval = 35 - 0.837 = 34.16 (rounded to 2 decimal places)
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98 + 14 using distributive property
Answer:
7
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
98=90+8
14=10+4
90+10=100
8+4=12
100+12=112
Brainliest plzz
The sales tax rate is 5.9%. Sheila buys a pet monkey priced at
$152.35.
What is the tax amount (nearest penny)?
Answer:
$161.34
Step-by-step explanation:
Answer:161.34 thats the price with tax added if thats what youre asking. if not its 8.98865 or 8.99
i rounded up
161.33865
Step-by-step explanation:
you have to multiply the tax rate by the price but change the rate to a decimal first which is 0.059. that gives you 8.99 then add that to the price.
A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08
Answer: $23.92
Step-by-step explanation:
First, we know that 6 bagels is $2.99.
48/6=8
This means that 6 is a multiple of 48, which makes it easier to solve.
$2.99 x 8 = 23.92
= $23.92
PLSSSSS HELP ITS AN EMERGENCY
From the calculations, we can see that each of the external angles of the polygon would have a measure of 60 degrees.
How do you find the external angles of a polygon?The external angles of a polygon are the angles formed by extending one side of the polygon and forming a new angle with the adjacent side. To find the external angle of a polygon, you can use the following formula:
External angle = 360° / number of sides
In this case we have been told that what we have is a hexagon thus;
4xternal angle is; 360/6
= 60 degrees
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the difference between 75% of a number and 20% of the same number is 378.9 what is 40% of that number?
Thus, the 40% of the number is
\(688.909\cdot0.4=275.563\)5. Nathan wants to purchase electric drums from a music dealership in England. The drums cost £4000 and Nathan has saved R50 000. The rand/pound exchange rate is R12,24 per one pound. Will he have enough money, in rands, to buy the drums? Show your reasoning.
Nathan will have enough money, in rands, to buy the drums given his savings and cost of the drum in Rand.
Exchange rateThe exchange rate is the value of one currency in relation to another currency. It is the rate in which one currency will be exchanged for another. The rats of exchange is determined by foreign exchange market where currencies are traded.
Amount Nathan saved = R 50,000Cost of drum = £4000Convert pounds to Rand:
1 pound = 12.24 Rand
£400 = 12.24 × 4000
= 48,960 Rand
Amount Nathan saved - Cost of drum
= R 50,000 - R 48,960
= R 1,040
Therefore, Nathan will have enough money, in rands, to buy the drums.
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Need help with 25 & 27 PLEASE!!!
Answer:
1
Step-by-step explanation:
easy
Any point on the parabola can be labeled (x,y), as shown. What are the distances from the point (x,y) to the focus of the parabola and the directrix? Select two answers.distance to the focus: (squareroot over this whole problem)* (x+3)^2+(y-3)^2distance to the directix: |y-4|distance to the directix: |y+4|distance to the focus: *squareroot over again* (x+3)^2+(y-2)^2distance to the directix: |x-4|distance to the focus: *square root again* (x-2)^2+(y+3)^2
Given:
Vertex: (-3, 3)
Focus: (-3, 2)
Let's find the distance from the point (x, y) to the focus of the parabola and the directrix.
To find the distance, apply the distance formula:
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Thus, we have:
Distance from (x, y) to the focus:
Where:
(x1, y1) ==> (x, y)
(x2, y2) ==> (-3, 2)
Thus, we have:
\(\begin{gathered} d=\sqrt{(x-(-3))^2+(y-2)^2} \\ \\ d=\sqrt{(x+3)^2+(y-2)^2} \end{gathered}\)Therefore, the distance from the point (x, y) to the focus is:
\(\sqrt{(x+3)^2+(y-2)^2}\)• The distance from the point to the directrix.
From the graph, the directrix is:
y = 4
Now, to find the distance, subtract the y-coordinate of the point from y = 4.
The distance is the absolute value of the result.
Thus, we have:
\(|y-4|\)ANSWER:
Distance from the point to the focus:
\(\sqrt{(x+3)^2+(y-2)^2}\)Distance from the point to directrix:
\(|y-4|\)2. Given collinear points R, S, and T such that point S is the midpoint of segment RT.
Given that RS = 5x - 9 and RT = 3x + 17.
2a. What is the value of x?
2b. What is the length of ST ?
The value of x is 5.
The length of ST is 16.
What are collinear points?Collinear points are the points that lie on the same straight line or in a single line.
Given:
RS = 5x - 9 and RT = 3x + 17
As, R, S and T are collinear points.
so, we can write
RS = ST
and, RS + ST = RT
2ST = Rt
ST= RT/2
ST = (3x+ 17)/2
Now,
RS = ST
5x - 9 = (3x+ 17)/2
10x - 18 = 3x+ 17
7x = 35
x=5
So, the value of x is 5.
Now, length of ST
= (3x+ 17)/2
=(3*5 + 17)/2
=32/2
=16
Thus, length of ST is 16 units
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How many different ways are there to arrange the letters of the word PRISM?
Enter your answer in the box.
ways
Answer:
5! (5 factorial) or 120 ways
Step-by-step explanation:
You can arrange P different ways. R can be arranged only 4 different ways because Pwill be in one of the spots. Next, you can arrange "I" 3 different ways because P and R are already arranged in 2 spots, meaning you cant put "I" there. Next, S can be arranged in 2 different ways for the same reason. And lastly, M can only be arranged in 1 different way because the other spots are taken.
You can put it in any order. For example, M could be arranged 5 ways and P could be arranged in 1 way. You will still get 120 ways
Hopefully this helped. The explanation might be a bit confusing but I tried my best. I'm not good with explaining my solutions but I always try
Answer:
120
Step-by-step explanation:
took the test and i got it right
Find the solution of the system of equations. 8x+4y= 8x+4y= \,\,-24 −24 -5x+4y= −5x+4y= \,\,-11 −11
The y-coordinate for the solution to the system of equations is 6.
What is equation?Equation is a physical and mathematical statement the describing physical phenomenon the relationship between different physical quantity typically consist of variable simple presenting physical quantity and then it personal variable maybe pointed search is the energy.
The y-coordinate for the solution to the system of equations is 6. This is calculated by substituting the given y-value (2/3) into the equation -x+3y=9 and solving for x. Specifically, -x+3(2/3) = 9, which reduces to -x = 3. Therefore, x = -3 and substituting this value into the first equation yields 3y = 9, which simplifies to y = 3. Therefore, the y-coordinate for the solution to the system of equations is 6.
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Q2) Find the unit cost for the following items.
a) 200 mL cream for $2.99 ($ per mL)
b) 450 g packet of chips for $3.8 ( $ per g)
Unit cost = total price / total amount.
A) 2.99 / 200 = $0.01495 per ml
B) 3.80 / 450 = $0.00844 per g
Round the answers as needed.
answer the 2 questions in the photo
[Inequalities]
Please help and thanks.
ONLY NEED TO ANSWER 15 AND 17!
Answer:
15. b < 16
17. c (is greater than or equal to) 25
Step-by-step explanation:
i hope this helps :)
Answer:
15)b<16
17)c>25
Step-by-step explanation:
15)b/4<4
Multiply both sides by 4. Since 4 is positive, the inequality direction remains the same.
b<4×4
Multiply 4 and 4 to get 16.
b<16
17)5c>125
5c>125
Divide both sides by 5. Since 5 is positive, the inequality direction remains the same.
c=125/5
Divide 125 by 5 to get 25.
c>25
The ages of trees in a forest are normally distributed with a mean of 25 years and a standard deviation of 5 years.
Complete question is in comment section :
Answer:
68%
Step-by-step explanation:
Mean = 25
Standard deviation = 5
The percentage of trees between 20 and 30
20 trees = 1 standard deviation below the mean ; mean - 1(standard deviation)
25 - 5 = 20
30 trees = 1 standard deviation above the mean ;
Mean + 1(standard deviation) ;
25 + 5 = 30
This means, 20 and 30 lies ±1 standard deviation from the mean which according to the empirical rule is 68%
According to the empirical rule :
Solve for x.
=(x-1)= 9(x + 2)
x = -8
x = -3
x = 3
O x = 8
7
8
Co
10
A
Answer:
to solve x
Step-by-step explanation:
the value of x is -3/10
Persevere adam, ben, and charlie each formed a different 4-digit number using all the digits, 1, 2, 6, and o. adam and charlie both rounded their numbers to the nearest hundred. ben rounded his number to the nearest ten. ben and charlie had the same answer while adam's answer was 100 less than theirs. find the 4-digit number each boy formed. show your work
The probability Adam chose the number 1260, Ben chose 1260, and Charlie also chose 1260. Adam's number was rounded to 1200, Ben's to 1260, and Charlie's to 1300, making Adam's number 100 less than the other two.
Adam:
(1*1000) + (2*100) + (6*10) + (0*1)
= 1200
Ben:
(1*1000) + (2*100) + (6*10) + (0*1)
= 1260
Charlie:
(1*1000) + (2*100) + (6*10) + (0*1)
= 1300
Adam, Ben, and Charlie each chose the 4-digit number 1260, but rounded it differently. Adam rounded it to the nearest hundred, giving him an answer of 1200. Ben rounded it to the nearest ten, giving him the same answer of 1260. Charlie rounded it to the nearest hundred, giving him an answer of 1300. Thus, Adam's answer was 100 less than the other two.
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A rectangular prism has a height of 12 centimeters and a square base with sides measuring 5 centimeters. A pyramid with the same base and half the height of the prism is placed inside the prism, as shown in the figure
The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
Simplify
10 + 9t + 2 + 9t
Answer:
6(3t+2)
Step-by-step explanation:
When is christmas 2021
Answer:
IN 15 days
Step-by-step explanation:
EASY
MARK AS BRAINLIEST
Answer:
in december 23-24
Step-by-step explanation:
i gueess
90 points!!!!! help
the probability that andrew attends the football pep rally is 46%. the probability that he attends the pep rally and goes to the football game is 28%. which of these best represents the probability that andrew goes to the football game given that he attends the pep rally?
a
13%
b
18%
c
61%
d
74%
To find the probability that Andrew goes to the football game given that he attends the pep rally, we can use conditional probability. Therefore, the correct answer is C: 61%.The best representation of the probability that Andrew goes to the football game given that he attends the pep rally is 61%.
To find the probability that Andrew goes to the football game given that he attends the pep rally, we can use conditional probability. The conditional probability is calculated using the formula:
P(Going to football game | Attending pep rally) = P(Going to football game and Attending pep rally) / P(Attending pep rally)
In this case, we are given that the probability that Andrew attends the pep rally is 46% (0.46) and the probability that he attends the pep rally and goes to the football game is 28% (0.28).
Plugging these values into the formula, we have:
P(Going to football game | Attending pep rally) = 0.28 / 0.46 ≈ 0.6087
Multiplying this result by 100 to express it as a percentage, we get approximately 60.87%. Rounding to the nearest whole number, we find that the best representation of the probability that Andrew goes to the football game given that he attends the pep rally is 61%.
Therefore, the correct answer is C: 61%.
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use the kkt
Use the method of steepest ascent to approximate the solution to max z = -(x₁ - 3)² - (x₂ - 2)² s. t. (x₁, x₂) E R²
To approximate the solution and maximize the given objective function we need to find the steepest ascent direction and iteratively update the values of x₁ and x₂ to approach the maximum value of z.
The method of steepest ascent involves finding the direction that leads to the maximum increase in the objective function and updating the values of the decision variables accordingly. In this case, we aim to maximize the objective function z = -(x₁ - 3)² - (x₂ - 2)².
To find the steepest ascent direction, we can take the gradient of the objective function with respect to x₁ and x₂. The gradient represents the direction of the steepest increase in the objective function. In this case, the gradient is given by (∂z/∂x₁, ∂z/∂x₂) = (-2(x₁ - 3), -2(x₂ - 2)).
Starting with initial values for x₁ and x₂, we can update their values iteratively by adding a fraction of the gradient to each variable. The fraction determines the step size or learning rate and should be chosen carefully to ensure convergence to the maximum value of z.
By repeatedly updating the values of x₁ and x₂ in the direction of steepest ascent, we can approach the solution that maximizes the objective function z. The process continues until convergence is achieved or a predefined stopping criterion is met.
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24.9+(-51.7)= what’s the answer for this question?
Answer:−26.8
Step-by-step explanation:
Answer:
-26.8
Step-by-step explanation:
24.9 + - 51.7
24.9 - 51.7
-26.8
there are 6 men and 4 women in a union chapter. how many ways are there to select 3 men and 2 women for a committee
Answer:
Step-by-step explanation:
To determine the number of ways to select 3 men and 2 women for a committee from a union chapter consisting of 6 men and 4 women, we can use the concept of combinations.
The number of ways to select 3 men from 6 men is given by the combination formula: C(6, 3) = 6! / (3! * (6 - 3)!) = 20.
Similarly, the number of ways to select 2 women from 4 women is given by the combination formula: C(4, 2) = 4! / (2! * (4 - 2)!) = 6.
To obtain the total number of ways to select 3 men and 2 women for the committee, we multiply these two combinations together: 20 * 6 = 120.
Therefore, there are 120 ways to select 3 men and 2 women for a committee from the given union chapter.
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Paul creates the diagram to help him factor 4x2 + x – 5 by using double grouping. His diagram is incomplete.
Which terms should Paul write in squares M1 and M2?
a) 5x and −4x
b) –5x and 4x
c) –2x and 10x
d) 2x and −10x
Answer:
5x and -4x
Step-by-step explanation:
Because Paul is looking for M1 and M2 in order to get a total that is +x and a product that is equal to -20x^2, we can see that 5x and -4x help Paul get the products he wants.
Answer:
A; 5x and −4x
Step-by-step explanation:
Using a local telephone book to select a simple random sample could introduce _____ bias.
Answer:
Undercoverage
Step-by-step explanation:
Using a local telephone book to select a simple random sample could introduce UNDERCOVERAGE bias.
I hope it helps! Have a great day!