11-4 skills practice areas of regular polygons and composite figures answers
The 11-4 skills practice areas of regular polygons and composite figures involve finding the areas of different geometric shapes using specific formulas and methods.
To find the area of regular polygons, you can use the formula (1/2) x apothem x perimeter.
For composite figures, you can break the shape into smaller, more manageable shapes like rectangles, triangles, or circles, and then calculate the area of each component before adding them together.
Hence, The 11-4 skills practice areas of regular polygons and composite figures teach you to find areas using the appropriate formulas and methods, improving your geometry understanding and problem-solving abilities.
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6. Find the area of circle Bin terms of
1.5 yd
B
Answer:
7.065yd.
Step-by-step explanation:
3.14 x 1.5yd.^2 =
3.14 x 2.25yd. =
7.065yd.
Please help!! Algebra 2
Find f(2) if f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21 F(2)=
Answer: f(2)=1
Step-by-step explanation:
This is a function-related problem. In order to solve f(2), you need to substitute the value into the original function.
-----------------------------------------------------------------------------------------
f(x)=5x⁵-3x⁴- 17x³-4x²+10x+21
f(2)=5(2)⁵-3(2)⁴- 17(2)³-4(2)²+10(2)+21
f(2)=160-48-136-16+20+21
f(2)=1
Hope this helps!!
Please let me know if you have any questions
Over the weekend, Kari drank 5/6 of a bottle of soda and Aisha drank 1/6 of a bottle.
How much more soda did Kari drink than Aisha?
Write your answer as a fraction or as a whole or mixed number.
bottles
Answer:
4/6= 2/3
Step-by-step explanation:
5/6 - 1/6 = 4/6
lowest form : 2/3
Answer:
Hello! The answer to your question is 2/3.
Step-by-step explanation:
In this problem, you have to find how much more soda Kari drank than Aisha. To find how much more, you will have to use subtraction:
\(\frac{5}{6}- \frac{1}{6} \\= \frac{4}{6}\)
4/6 can be simplified by dividing the numerator and denominator by 2:
4/2 = 2
6/2 = 3
Therefore, your answer is:
\(\frac{2}{3}\)
Find all roots of the equation x^3 - 5x^2 + 2x +8=0 PLEASE SHOW WORK IF YOU CAN THANK YOU!!
i need this ASAP!!!!!!! which scatterplot shows a linear association?
Answer:
C
Step-by-step explanation:
A linear relationship looks like a line. Which scatter plot comes closest to looking like a line (not a curve of some kind)?
Two firms producing identical products engage in price competition. Cost of firm 1 is $20 per unit produced and cost of firm 2 is $15 per unit produced. There are no fixed costs. Firms produce only after they learn the quantity demanded. Each firm can choose any real number in the interval [15,25] as its price.
For tie-breaking we will assume that if both firms set the same price, all consumers purchase from firm 2.
The payoff/profit function of firm 1 is:
(p1 - 20)(100 - p1) if p1 is less than or equal to p2,
0 if p1 is greater than p2
The payoff/profit function of firm 2 is:
(p2 - 15)(100 - p2) if p2 is less than p1,
0 if p2 is greater than or equal to p1
Given all of this information, solve the following parts of the problem:
a) is p1 = 20, p2 = 19.50 a Nash Equilibrium?
b) is there a Nash Equilibrium in which Firm 2 makes a positive profit?
c) How many strategies does player 1 have?
d) is p1 = 15, p2 = 15 a Nash Equilibrium?
e) is p1 = 21, p2 = 21 a Nash Equilibrium?
a) No, p1 = 20, p2 = 19.50 is not a Nash Equilibrium.
b) Yes, there is a Nash Equilibrium in which Firm 2 makes a positive profit.
c) Player 1 has infinitely many strategies.
d) Yes, p1 = 15, p2 = 15 is a Nash Equilibrium.
e) No, p1 = 21, p2 = 21 is not a Nash Equilibrium.
What is Nash Equilibrium?Nash Equilibrium is a state of a strategic game where no player has an incentive to deviate from his or her chosen strategy after considering the strategies of other players. A game has more than one Nash equilibrium if players are unable to agree on a cooperative strategy to play.
Finding Nash Equilibrium
a) Is p1 = 20, p2 = 19.50 a Nash Equilibrium?No. Firm 1 has an incentive to decrease the price to 19.49, thus breaking the tie in its favour. So p1=20, p2=19.5 is not a Nash equilibrium.b) Is there a Nash Equilibrium in which Firm 2 makes a positive profit?Yes. There are several equilibria in which Firm 2 makes a positive profit. One such equilibrium is when both firms charge the same price of 15, at which both firms earn a profit of 375.c) How many strategies does player 1 have?Player 1 has infinitely many strategies to choose from as they can choose any real number in the interval [15,25] as their price.d) Is p1 = 15, p2 = 15 a Nash Equilibrium?Yes. This is a Nash Equilibrium because neither firm has an incentive to change their strategy as they are earning non-zero profits. Both firms earn a profit of 375.e) Is p1 = 21, p2 = 21 Nash Equilibrium?No. If Firm 1 changes its price to 20.99, its profit increases from 405 to 407.99. Therefore, p1=21 and p2=21 is not a Nash Equilibrium.Learn more about Nash equilibrium at
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Evaluate the expression when a=6 and b=4. b - 3a
-14 is the value of the expression b - 3a at a =6 and b = 4.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given an expression b - 3a
For this expression given,
a = 6 and b = 4
Thus the value of expression at given values
=> b - 3a
=> 4 - 3 * 6
=>4 - 18
=> -14
Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.
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A newspaper article reported that 320 people in ono state were surveyed and 80% were opposed to a recent court dechilion. The same article reported that a similar survey of 540 people in another state indicated opposition by only 20%. Construct a 60% tontidence interval of the differences in population proportions based on the The 99% confidence interval of the difference in population proportions is .. (Round to four decimal places as needed) rary ents Time Remaining: 00.1722 Next
The 60% confidence interval for the difference in population proportions is (0.5777, 0.6223) (rounded to four decimal places).
How to construct a 60% confidence interval for the difference in population proportions?To construct a 60% confidence interval for the difference in population proportions, we need to calculate the sample proportions and the standard error.
The formula for calculating the confidence interval for the difference in proportions is as follows:
\(CI = (p1 - p2) \pm z * \sqrt((p1 * (1 - p1) / n1) + (p2 * (1 - p2) / n2))\)
Where:
CI represents the confidence interval.p1 and p2 are the sample proportions of the two populations.n1 and n2 are the sample sizes of the two populations.z is the z-score corresponding to the desired confidence level.Given the following data:
In State 1: n1 = 320, p1 = 0.80
In State 2: n2 = 540, p2 = 0.20
Now, let's calculate the confidence interval:
\(CI = (0.80 - 0.20) \pm z * \sqrt((0.80 * (1 - 0.80) / 320) + (0.20 * (1 - 0.20) / 540))\)
For a 60% confidence level, the z-score can be obtained by finding the z-score corresponding to an alpha level of (1 - 0.60) / 2 = 0.20.
Using a standard normal distribution table or calculator, we find that the z-score for a 60% confidence level is approximately 0.8416.
Substituting the values into the formula:
CI = 0.60 ± 0.8416 * \(\sqrt((0.80 * 0.20 / 320) + (0.20 * 0.80 / 540))\)
CI = 0.60 ± 0.8416 *\(\sqrt(0.00040 + 0.00030)\)
CI = 0.60 ± 0.8416 *\(\sqrt(0.00070)\)
CI = 0.60 ± 0.8416 * 0.02646
CI = 0.60 ± 0.02226
Therefore, the estimated difference in population proportions between the two states, with a 60% confidence level, falls within the range of 0.5777 to 0.6223 (rounded to four decimal places).
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A survey found that 60% of shoppers at My-Way-Store like chocolate ice cream. If 240 boppers like chocolate ice cream, how many people were surveyed?
Answer:
400
Step-by-step explanation:
240/60=4, meaning 4 people per every percentage. Which when 4 is multiplied by 100, you get 400=100%
Answer:
400
Step-by-step explanation:
60/100 = 240/?
Bat and Ball ( when do proportional table make a x like shape between/through each number. The number going diagainal multiplies, number next to number is used to divide the product of the diagainal numbers.)
240 x 100 = 24,000
24,000 divided 60 = 400
400 were survreyed
You have one-fourth of an energy drink left. If you drink one-fourth of that, how much of your energy drink do you have left?
Step 1
Let the energy drink be x
Step 2
1/4 of the energy drink left = (1/4)x = original amount
Step 3
1/4 of 1/4x = 1/4 x 1/4x = (1/16)x = amount drank
Step 4
Find much of the energy drink you have left
Fraction of energy drink left = Original amount - amount drank
Fraction of energy drink left = (1/4)x - (1/16)x = (3/16)x
Hence you will have 3/16 of the energy drink left
The equation y=34x−2 is the slope-intercept form of which equation?
Answer:
The equation y = 34x - 2 is the slope-intercept form of the equation y = 34x + b, where b is the y-intercept, which is the point where the line crosses the y-axis. The value of b in this case is -2, so the equation can be written as y = 34x - 2. This form of the equation makes it easy to find the slope (which is 34 in this case) and the y-intercept (which is -2 in this case) of the line.
What fraction is smaller than
⅝.
Answer:
Step-by-step explanation:
One fraction that is smaller than 5/8 id 4/8, 3/8, 2/8, of 1/8; by decreasing the amount out of eight, you are reducing the fraction. Another way to make a fraction smaller is by increasing the denominator, increasing the denominator allows you to have tthe same amount out of a bigger total: 5/9, 5/10, 5/11, 5/12, 5/13, and so on.
Answer: 1/10
Step-by-step explanation: 5/8 = .625 > .100 = 1/10
What relationship is represented by the graph
Answer:
the third one
Step-by-step explanation:
area of a circle vs. it's diameter
-26a-19-35=-84 . show work!!
Step-by-step explanation:
-26a-19-35=-84
-26a-19+(19)-35=-84+(19)
-26a-35=-65
-26a-35+(35)=-65+(35)
-26a=-30
-26a/26=-30/26
who was the president before obama
Which explains the number of decimal places in the product 0 . 42 × 3 . 8 × 10 . 51 ? A. The greatest number of decimal places in any of the factors is 1. So, the product will have 1 decimal place. B. The greatest number of decimal places in any of the factors is 2. So, the product will have 2 decimal places. C. There are a total of 4 decimal places in the factors. So, the product will have 4 decimal places. D. There are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.
Answer:
D
Step-by-step explanation:
if you place the decimals ontop of each other like this
0.42
3.8
10.51
and count the numbers behind the decimal of each decimal which is
4, 2, 8, 3, 1
meaning that your decimal place would be 5 places to the left of your answer when you multiply
Answer:
D
Step-by-step explanation:
here are a total of 5 decimal places in the factors. So, the product will have 5 decimal places.
What is The slope of (6,5) and (14,35)
Answer:
15/4
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(35-5)/(14-6)
m=30/8
simplify
m=15/4
Answer:
Step-by-step explanation:
Slope is defined as
m=(y2-y1)/(x2-x1), we have points (6,5) and (14,35) so
m=(35-5)/(14-6)
m=30/8
m=3.75
The profits in a business are to be shared by the three partners in the ratio of 3 to 2 to 5. The profit for the year was $176,500. Determine the number of dollars each partner is to receive.
For the year in which they earned $176,500, the partners will receive $52,950, $35,300, and $88,250 respectively.
Here let the partners be A, B, and C.
According to the question, A: B: C = 3: 2: 5
This implies that if the profits are divided into
3 + 2 + 5 = 10 equal parts, 3 of those parts will go to A, 2 of those parts will go to B and 5 of those parts will go to C.
Here the profits for the year are $176,500.
Now dividing them into 10 equal parts will give us the value of each part to be
$176, 500/10 = $17,650
Hence A will receive $17,650 X 3 = $52,950
B will receive $17,650 X 2 = $35,300
C will receive $17,650 X 5 = $88,250
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I need help will give 20 points
Answer:
x=136 degrees
Step-by-step explanation:
A quadrilateral inscribed in a circle has opposite angles that add up to 180 degrees. So x + 44 deg = 180 deg. We can solve this to get x = 136 deg.
I hope this solution was helpful. Happy mathing!
the total cost of tiling a rectangular patio involves the cost of tiles and labor charges. the length of the patio is 5 feet more than its width, x. if the expression 10 x ( x 5 ) 300 gives the total cost of tiling, what does 10 represent?
The expression 10 x ( x+5 ) 300 gives the total cost of tiling a rectangular patio, where 10 represents the cost per square foot of tiling.
In the given expression, 10 represents the cost per square foot of tiling the patio. This is because the expression is a product of three factors: 10, x(x+5), and 300. The first factor, 10, is the cost per square foot of tiling the patio. The second factor, x(x+5), represents the area of the patio in square feet, where x is the width of the patio. The third factor, 300, is a constant that represents the labor charges. Therefore, when the expression is simplified, we get the total cost of tiling the patio.
To understand this better, let's assume that the width of the patio is 10 feet. Then, the length of the patio would be 5 feet more, which is 15 feet. The area of the patio would be 10 x 15 = 150 square feet. If the cost per square foot of tiling is 10 dollars, then the cost of tiling the patio would be 10 x 150 = 1500 dollars. If we add the labor charges of 300 dollars, we get the total cost of tiling, which is 1800 dollars.
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Find all the values of k for which the equation 2x^2+x+4k has (a) two real solutions, (b) one real solution, and (c) no real solutions.
the values of k for which the equation 2x² + x + 4k has (a) two real solutions are k < 1/32, (b) one real solution is k = 1/32, and (c) no real solutions are k > 1/32.
How to solve the question?
The given equation is 2x² + x + 4k.
(a) For the equation to have two real solutions, the discriminant b² - 4ac must be positive.
Therefore, for this equation, b² - 4ac > 0
=> 1 - 4(2)(4k) > 0
=> 1 - 32k > 0
=> k < 1/32
Hence, all values of k less than 1/32 will give the equation 2x² + x + 4k two real solutions.
(b) For the equation to have one real solution, the discriminant b² - 4ac must be zero.
Therefore, for this equation, b² - 4ac = 0
=> 1 - 4(2)(4k) = 0
=> 1 - 32k = 0
=> k = 1/32
Hence, only the value of k equal to 1/32 will give the equation 2x² + x + 4k one real solution.
(c) For the equation to have no real solutions, the discriminant b² - 4ac must be negative.
Therefore, for this equation, b² - 4ac < 0
=> 1 - 4(2)(4k) < 0
=> 1 - 32k < 0
=> k > 1/32
Hence, all values of k greater than 1/32 will give the equation 2x² + x + 4k no real solutions.
In conclusion, the values of k for which the equation 2x² + x + 4k has (a) two real solutions are k < 1/32, (b) one real solution is k = 1/32, and (c) no real solutions are k > 1/32.
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Can someone help me prove the identity?
Answer:
See Explanation
Step-by-step explanation:
\(
\because \sin\bigg(\frac{\pi}{2} + x\bigg)= \cos x\\
\&\: \sin (\pi - x) = \sin x\\\\
Now,
\frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} = \cot x\\\\
LHS
= \frac{\sin\bigg(\frac{\pi}{2} + x\bigg)}{\sin (\pi - x)} \\\\
=\frac{\cos x}{sinx} \\\\
= \cot x\\\\
= RHS\\\\
Hence\: Proved
\)
What is the equation of the line?
ТУ
y=;
x
- 4
y = x + 2
1
y = 2x + 2
y = 2x - 4
Answer:
the second equation
Step-by-step explanation:
y=mx+b
at x=0 y=2 , then b=2
at x=2 y=3
3= 2m+2
2m= 1
m=1/2
y= 1/2 x +2
What is the volume?
3 1/4 in
6 1/2 in
2 in
Answer:
42¼ in³
Step-by-step explanation:
volume = 6½×2×3¼= 42¼ in³
The total area under a probability distribution equals 1.
A.) True
B.) False
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
The area under the probability distribution is a measure of the probability of all the possible outcomes. Since the sum of all the probabilities of all the possible outcomes must be 1, the total area under the probability distribution must also be 1. This is because the probability of an event happening is the area under the curve of the probability distribution at that event. Thus, the total area under the probability distribution must always equal 1.
This is true because a probability distribution is a mathematical function that provides the probabilities of occurrence of different possible outcomes in an experiment.
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A number is 2 /5 times another number. Their sum is 70. Find the numbers.
Answer:
50,20
Step-by-step explanation:
let the two numbers be x and y respectively.
According to the question,
y=2/5 times of x
Or,
y= 2x/5 ..........(1)
Again,
or, x+y=70
or, x+2x/5=70
or, (5x+2x)/5=70
or, 7x=350
therefore x=50
putting the value of y in equation (1)
y=2x/5
y= (2×50)/5
therefore, y=20
Answer:
x = 175
Step-by-step explanation:
given:
A number is 2 /5 times another number. Their sum is 70.
find: the numbers (coefficient)
solution:
cross multiply
2 ( x ) = 70
5
2 (x) = 70 (5)
2 (x) = 350
x = 350
2
x = 175
check:
2 ( x ) = 70
5
2 ( 175 ) = 70
5
350 = 70
5
70 = 70
-10.6 x -8.05 = ?
(need help!!)
Answer:
85.33
Step-by-step explanation:
-10.6 x -8.05 = 85.33
Sal and Zack built a scale model of the Texas Capitol using a scale in which 2 inches represents 8 feet. The height of the Texas Capitol is 312 feet.
Problem
What is the height of the scale model in inches?
Fractions are rations of two integers. The height of the scale model in inches is 78 inches
Ratio and proportionsFractions are ratios of two integers and they are also used to represent ratios.
Given that scale model of the Texas Capitol is 2 inches to represents 8 feet, the height of the capitol in inches is the heght in feet is 312 feet is expressed as:
Height = 312 * 2/8
Height in inches = 312/4
Height in inches = 78 inches
Hence the height of the scale model in inches is 78 inches
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the heights of 18 year old men are approximately normally distributed with mean of 68 inches and standard deviation 3 inches. What is the probability that the average height of a sample of twenty 18 year old men will be less than 69 inches
The probability that the average height of a sample of twenty 18 year old men will be less than 69 inches is approximately 0.9319 or 93.19%.
To find the probability that the average height of a sample of twenty 18-year-old men will be less than 69 inches, we will use the concept of the sampling distribution of the sample mean.
Given the mean height (µ) is 68 inches and the standard deviation (σ) is 3 inches. The sample size (n) is 20.
First, we need to calculate the standard error (SE) of the sample mean, which is the standard deviation of the sampling distribution. The formula for standard error is:
SE = σ / √n
SE = 3 / √20 ≈ 0.67 inches
Next, we need to calculate the z-score for the given height of 69 inches. The z-score formula is:
z = (X - µ) / SE
where X is the sample mean height (69 inches).
z = (69 - 68) / 0.67 ≈ 1.49
Now, we can use a z-table or statistical software to find the probability (area under the curve) that corresponds to this z-score.
The probability for a z-score of 1.49 is approximately 0.9310, which represents the probability of the sample mean height being greater than or equal to 69 inches.
To find the probability of the sample mean height being less than 69 inches, we subtract this value from 1:
Probability = 1 - 0.9310 ≈ 0.0690
So, the probability that the average height of a sample of twenty 18-year-old men will be less than 69 inches is approximately 0.0690 or 6.9%.
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