Answer:
that what
Step-by-step explanation:
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
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Question 4 A study has been conducted to compare male and female test performance on a standardised science exam. In this hypothetical study, the researchers reported with a sample size of n = 50, the 95% confidence interval was found to be between 0.15 and 0.55.
What would happen to the 95% confidence interval if the sample size was increased?
The 95% confidence interval would remain the same Cannot be determined from the information provided The 95% confidence interval would decrease The 95% confidence interval would increase
If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.
A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.
If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.
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help me find the area of the given triangle to the without height
The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.
Domain of f is ( -4 ,1 ) and Range of f is (4 , -5)
The domain refers to the set of possible input values.
The domain of a graph consists of all the input values shown on the x-axis.
The range is the set of possible output values, which are shown on the y-axis.
According to the graph ,
The horizontal extent of the graph is starting from -4 and ending on 1
Therefore , the domain of graph is (-4 , 1)
These points are not included in the domain , you can observe the end points of curves is not filled
The vertical extent of graph is starting from 4 and going downwards till -5
so, Range of graph is (4 , -5)
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I am struggling and I would be so happy if any of you helped me. Can someone help me with the last two red boxes please? The rest of the question is for reference to help solve the problem. Thank you for your time!
Answer:
I think you can go with:
The margin of error is equal to half the width of the entire confidence interval.
so try .74 ± = [ .724 , .756] as the confidence interval
Step-by-step explanation:
X times (7/3) = 1
What is X?
A dog is tied to a wooden stake in a backyard. His leash is 2 meters long and he runs around in circles pulling the leash as far as it can go. How much area does the dog have to run around in?
Two rectangles are similar. The first is 16 feet wide and 20 feet long. The second is 80 feet wide. What is the length of the second rectangle?
Answer:
100 feet long
Step-by-step explanation:
Answer:
length of second rectangle is
100 feet
suppose there is a normally distributed population with a mean of 250 and a standard deviation of 50. if xbar is the average of a sample of 36, find P(246
Using the normal distribution and the central limit theorem, it is found that:
\(P(246 \leq \bar{x} \leq 260) = 0.5693\)
Normal Probability DistributionIn a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).In this problem:
The mean is of \(\mu = 250\).The standard deviation is of \(\sigma = 50\).A sample of 36 is taken, hence \(n = 36, s = \frac{50}{\sqrt{36}} = 8.3333\).The probability of a sample mean between 246 and 260 is the p-value of Z when X = 260 subtracted by the p-value of Z when X = 246, hence:
X = 260:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{260 - 250}{8.3333}\)
\(Z = 1.2\)
\(Z = 1.2\) has a p-value of 0.8849.
X = 246:
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{246 - 250}{8.3333}\)
\(Z = -0.48\)
\(Z = -0.48\) has a p-value of 0.3156.
0.8849 - 0.3156 = 0.5693, hence:
\(P(246 \leq \bar{x} \leq 260) = 0.5693\)
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Name the figure below in two different ways.WSymbol:JAandWASubmit Answerattempt 1 ouI keep messing up the symbol
The figure can be named as line JW or line WJ. The line is represented by symbol with two pointing arrow on each side of line, So symbol is,
\(\leftrightarrow\)and possible names of the figure are JW and WJ.
Multiply. -8. -9/3 . 2/-5Write your answer in simplest form.
To multiply these numbers, the first step is to writhe "-8" as an improper fraction, to do so, divide it by 1
\((-\frac{8}{1})\cdot(-\frac{9}{3})\cdot(-\frac{2}{5})\)Next is to solve the multiplication, to do so, first multiply the first two terms of the multiplication:
\((-\frac{8}{1})\cdot(-\frac{9}{3})\)The multiplication is between two negative numbers, when you multiply two negative numbers, the minus signs cancel each other and turn into a positive value, this is called "double-negative"
\((-\frac{8}{1})\cdot(-\frac{9}{3})=\frac{8\cdot9}{1\cdot3}=\frac{72}{3}\)Next multiply the result by the third fraction -2/5
This time you are multiplying a positive and a negative number, so the result of the calculation will be negative
\(\frac{72}{3}\cdot(-\frac{2}{5})=-\frac{72\cdot2}{3\cdot5}=-\frac{144}{15}\)Final step is to simplify the result, both 144 and 15 are divisible by 3, so divide the numerator and denominator by 3 to simplify the result to the simplest form:
\(-\frac{144\div3}{15\div3}=-\frac{48}{5}\)the 3rd and 6th term in fibonacci sequence are 7 and 31 respectively find the 1st and 2nd terms of the sequence
Answer:
Step-by-step explanation:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?
Complete the equation to show how many tenths are equivalent to 1/2
Answer:
5/10
Step-by-step explanation:
how do i refund and stop my subscription for brainly
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Find the value of x
Answer: 11
Step-by-step explanation:
By the angle bisector theorem,
\(\frac{3x-3}{5x}=\frac{24}{44}\\\\44(3x-3)=24(5x)\\\\132x-132=120x\\\\12x-132=0\\\\ 12x=132\\\\x=\boxed{11}\)
what are two ratios that are equivalent to 1:1
Answer:
2:14 and 3:21
Step-by-step explanation:
A probability experiment consists of rolling a fair 15-sided die. Find the probability of the event below. rolling a number divisible by 3
Probability of an experiment consists of rolling a fair 15 -sided die with an event of rolling a number divisible by 3 is P(E)=(1 /3).
As given ,
Total number of outcomes of an experiment consists of rolling a fair 15-sided die 'n'
={1, 2, 3, …., 14, 15}
=15
Number of outcomes of an event 'E' showing rolling a number divisible by 3 'n(E)'
={3,6,9,12,15}
=5
Probability of event showing rolling a number divisible by 3 'P(E)'
=(Total number of favourable outcomes)/(Total number of outcomes)
=n(E)/n
= 5/15
=1/3
Therefore, probability of an experiment consists of rolling a fair 15 -sided die with an event of rolling a number divisible by 3 is P(E)=(1 /3).
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Find the sum of the interior angle measures of the polygon
Find the volume of the triangular pyramid below. Round your answer to the nearest tenth if necessary.
The volume of the triangular pyramid is 150 cubic units.
Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.
We have to find the volume of triangular pyramid
Volume = 1/3×B×h
B is the area of base
B=1/2×10×6
B=30 units
Height = 10 units
Volume = 1/2×30×10
=150 cubic units
Hence, the volume of the triangular pyramid is 150 cubic units.
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what is the value of a
Answer:
The Value of a could be anything, as a represents a variable.
Answer: well if you had a pic i could help but if not then the value of a could be anything
Step-by-step explanation:
Solve for ps pleaseee
Answer:
PS=21.3
Step-by-step explanation:
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Kenny and Ben start competing businesses selling hats. Kenny buys supplies, costing $3, before he starts selling his
hats for $0.50 each.
Ben sells his hats for $0.25 each and spent only $1 on supplies. At
what point have they sold the same number of hats and made the
same profit (income minus costs)?
HELP PLZ
Answer:
Once Kenny gets 6 hats sold, he could gain the $3 he spent back, and once Ben sells 4 hats, he could gain the $1 he spent back.
Step-by-step explanation:
Groups 1 and 3 In a class of 42 students, 12 boys and 15 girls know how to read three-letter words in English. 19 boys and 17 girls know how to identify all letters of the alphabet. None of the students in the class can write a sentence of five words if dictated to them. There are 22 boys and 20 girls in the class.
•Using a Venn diagram, show how many boys and girls cannot read a letter or a three-letter word.
•If all students should know how to write a sentence of five words by the end of the academic year, how many groups will you need to form to focus on remedial/tutor support (to teach at the right level)?
• If by the end of the academic year, all students are able to identify all letters, read three-letter words, and write a five-word sentence, what would this Venn diagram look like?
There are 23 boys and 20 girls in the class who cannot read a letter or a three-letter word.
How to solveThe Venn diagram is drawn as shown in the attached image, and it shows that the number of boys and girls who cannot read a letter or a three-letter word is marked as (c+d) which represents 13 boys and 8 girls.
Given:
The class has 42 students.
12 boys and 15 girls are said to know how to read three-letter words in English.
19 boys and 17 girls are said to know how to identify all letters of the alphabet.
None of the students in the class is able to write a sentence of five words if dictated to them.
There are in total 22 boys and 20 girls in the class.
Read three-letter words |
|____________|______________|
| | |
| Boys (12) | Girls (15) | Can read three-letter words
|____________|______________|
| | |
| Boys (10) | Girls (13) | Cannot read three-letter words
_______|____________|______________|
| | |
| Boys (9) | Girls (13) | Can identify all letters
|____________|______________|
| | |
| Boys (13) | Girls (7) | Cannot identify all letters
|____________|______________|
To find the number of boys and girls who cannot read a letter or a three-letter word, we need to add up the numbers in the two bottom circles:
Boys who cannot read a letter or a three-letter word: 10 + 13 = 23
Girls who cannot read a letter or a three-letter word: 13 + 7 = 20
Therefore, there are 23 boys and 20 girls in the class who cannot read a letter or a three-letter word.
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What is the value of w for which c||d ? (Picture included)
If c || d, then 55° = (3w - 2)° [corresponding angles in 2 parallel lines are equal to each other].
=》55 = 3w - 2
=》55 + 2 = 3w
=》57 = 3w
=》57/3 = w
=》19 = w
______
RainbowSalt2222 ☔
Listed below are the budgets (in millions of dollars) and the gross receipts (in millions of dollars) for randomly selected movies. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value using alpha = 0.05. Is there sufficient evidence to conclude that there is a linear correlation between budgets and gross receipts? Do the results change if the actual budgets listed are $61,000,000, $92,000,000, $48,000,000, and so onBudget(x) 61 92 48 36 135 58 93Gross(y) 69 62 53 58 627 144 42a. What are the null and alternative hypotheses?i) H_0: rho = 0, H_1: rho < 0ii) H_0: rho = 0, H_1: rho notequalto 0iii) H_0: rho notequalto 0, H_1: rho = 0iv) H_0: rho = 0, H_1: rho > 0b. Construct a scatterplot. Choose the correct graph below.c. The linear correlation coefficient r is.d. The test statistic t is.e. The P-value is.
Answer:
The answers are below
Step-by-step explanation:
1. H0: rho = 0
H1: rho not equal to 0
2. I will add the scatter plot as an attachment
3. ΣX = 523,
ΣY = 1055
ΣX² = 46023
ΣY²= 430407
ΣXY = 111448
n = 7
The correlation coefficient r =
r = 7(111448)-(523)(1055)/√7(46023)-(523)² × √7(430407)-(1055)²
r = 780136-551765/√322161-273529√3012849-1113025
= 228371/220.53*1378.34
= 228371/303965.32
r = 0.751
4. Test statistics
t = r√n-2/√1-r²
= 0.751√5/√0.5640
= 1.679/0.660
= 2.543
5. P value
Degrees of freedom n-2 = 5
T dist(2.543,5,2)
The p value is less than 0.05 so we reject null hypothesis. There is enough evidence to show a linear correlation between budgets and gross receipts.
Trigonometry: Measure tal Excel In Opt. Mathematics - Book 9 ) If the number of degrees of a certain angle added to the number of gra same angle is 152, find the angle in degrees.
The angle in degrees is 873.1843.
Let the measure of the angle be θ in degrees. Therefore, the measure of the same angle in gradians is (θ × π/180).
According to the given information, the number of degrees of a certain angle added to the number of gradians of the same angle is 152.(θ) + (θ × π/180) = 152.
Simplifying the above equation, we get:(θ) + (θ/180 × π) = 152.
Multiplying both sides of the equation by 180/π, we get:
θ + θ = (152 × 180)/π2θ = (152 × 180)/πθ = (152 × 180)/(3.14)θ = 873.1843
Thus, the angle in degrees is 873.1843.
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He was, without a doubt, the most prolific writer of mathematics of all time. Euler is credited as being the first mathematician to define function in the way we currently think of functions. In his book, Introductio in analysin infinitoriumin, he stated, “A function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”
Based on what we know a function to be today, what did Euler mean by an analytic expression?
an expression formed with many variables and no numbers
an expression formed with many numbers and no variables
an expression formed from operations such as addition, multiplication, powers, and roots
an expression formed using only multiplication of a variable and a number
Based on what we know a function to be today, Euler mean an analytic expression "an expression formed from operations such as addition, multiplication, powers, and roots"
Euler's definition of a functionAccording to Euler, a function of a variable quantity is an analytic expression composed in any way whatsoever of the variable quantity and numbers or constant quantities.”
The function is. combination of expression which includes variables and constants using various operations such as roots, power and multiplication.
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Write the system of equations in slope intercept form.
Show ALL of your work!
y + 2x = 0
2y = -2 - 6
what is statistics?
Statistics is referred to as a discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
What is Data?This is referred to as information that has been translated into a form that is efficient for movement or processing.
Statistics involves using information that has been translated into a form that is efficient for movement or processing through different tools such as mean standard deviation etc.They help to provide more details about a set of data which makes it use very important.
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If a polynomial f(x) has a remainder of 4 when divided by x-5, what is f(5)?
The value of f(5) When a polynomial f(x) is divided by x -5 is 4
What is a polynomial?Polynomials are algebraic expressions that consist of variables and coefficients. Variables are also sometimes called indeterminates. We can perform arithmetic operations such as addition, subtraction, multiplication, and also positive integer exponents for polynomial expressions but not division by variable.
If f(x) has a remainder of 4 when divided by x - 5
Then it means that if f(x -5) = f(0)
x -5 = 0
x = 5
so if you substitute 5 into f(x) which is f(5) it will give 4
so therefore f(5) = 4
In conclusion f(5) is same as 4
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