The perimeter and area of the figure are:
Area = 182.71 ft²
Perimeter = 51.124 ft
How to find the perimeter and area?The formula for the area of a semi circle is:
A = ¹/₂πr²
Thus:
Area of two semi circles = 2(¹/₂π * 7.5²)
Area = 176.71 ft²
Area of rectangle = length * width
Area = 15 * 4
Area = 60 ft²
Thus:
Total Area = 176.71 ft² + 60 ft²
Total Area = 182.71 ft²
Perimeter of the semi circle = 2 * π * 7.5 = 47.124 ft
Perimeter of shape = 47.124 ft + 4 ft
Perimeter = 51.124 ft
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ASAPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
The sum will be close to 1/4
Step-by-step explanation:
1/8+1/6 is 7/24, and 1/4th of that is 6/24, so it is very close.
Answer: The sum will be close to 1/4
Step-by-step explanation:
You can start by making the fractions have the same denominator, (8*6) which gets you 48
You then want to use the butterfly method, so 1/8 becomes 6/48 and 1/6 becomes 8/48. You then add these up to 14/48.
12/48 is 1/4, and 14/48 is close to 12/48, thus making the answer the first option.
What is the missing number in the number sentence?
Answer:
the missing number is 47............
Answer:
47
Step-by-step explanation:
46+10=56. That means that ?+9 needs to equal 56.
56-9=47 which is the missing number.
Which system has no solution? A b c d
Convert the rectangular coordinates to polar coordinates
(1, -9)
The polar coordinates of (1, -9) are (9.06, -1.47 radians).
To convert from rectangular coordinates to polar coordinates, we can use the following formulas:
r = √(x² + y²)
θ = tan⁻¹(y/x)
where r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.
In this case, x = 1 and y = -9. Plugging these values into the formulas, we get:
r = √(1² + (-9)²) = √82 ≈ 9.06
θ = tan⁻¹((-9)/1) ≈ -1.47 radians
Therefore, the polar coordinates of (1, -9) are (9.06, -1.47 radians). The distance from the origin to the point is approximately 9.06 units, and the angle between the positive x-axis and the line connecting the origin to the point is approximately -1.47 radians (or approximately -84.26 degrees).
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Pls help only one question :( im stuck!
Answer:
-√26, 5.15, 5.2, 16/3
Step-by-step explanation:
-√26 = -5.09
16/3 = 5.33
Given m∥ n, find the value of x.
Answer:
Step-by-step explanation:
3x + 5 + x - 25 = 180
4x - 20 = 180
4x = 200
x = 50
Please help ASAP please and thank you have a great and blessed day!
Answer:
I RLY HOPE THIS IS CORRECT WISH THE BEST OF LUCK
Answer:
12.08
Step-by-step explanation:
If you order these numbers from least to greatest, you would get...
12.08, 12.087, 12.7, 12.78, 12.807
The least second it took to complete the race is 12.08
hope you have a wonderful day too! <3
you're valuing horn of plenty mining, inc.'s, stock in order to compare its value to its market price. you believe that the company will pay total dividends of $1.45 in 2015 and $1.56 in 2016. you also believe the company's stock price will be $35.80 at the end of 2016. if the appropriate discount rate is 12 percent, what's the value of horn of plenty mining's stock? a. $39.22 b. $38.31 c. $36.87 d. $37.43
An exam consists of 50 multiple choice questions. Based on how much you studied, for
any given question you think you have a probability of
p = 0.70 of getting the correct answer. Consider the
sampling distribution of the sample proportion of the 50
questions on which you get the correct answer.
Using the Central Limit Theorem, it is found that the sampling distribution of the sample proportion of the 50 questions on which you get the correct is approximately normal, with mean of 0.7 and standard error of 0.0648.
What does the Central Limit Theorem state?It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1 - p)}{n}}\), as long as \(np \geq 10\) and \(n(1 - p) \geq 10\).
In this problem, we have that p = 0.7, n = 50, hence the mean and the standard deviation are given as follows:
\(\mu = p = 0.7\)
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.7(0.3)}{50}} = 0.0648\)
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The universities budget covers cost for nine months what is Amy’s monthly budget for textbooks in course supplies? What is her monthly budget for rent on utilities and food? What is your monthly budget for a personal and miscellaneous cost? what is her total monthly budget?
Amy’s monthly budget for textbooks equals $900.00
Amy's monthly budget for rent, utilities and food equals $12,798.
Her monthly budget for a personal & miscellaneous cost equals $2,259.
Her total monthly budget equals $15,957.
What does Budget mean?A budget is refers to an estimation of the revenue and expenses over a specified future period of time and is usually compiled and re-evaluated on a periodic basis.
Budget for textbooks:
= $900.00
Budget for rent, utilities and food:
= $12,798.
Budget for personal and miscellaneous cost:
= $2,259.
Total monthly budget:
= $900 + $12,798 + $2,259
= $15,957
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1/6(49/9-14/3)+27/73/5×33
Answer:
61.15702689
Step-by-step explanation:
= 1 / 6 (49/9-14/3) + 27 / 73 / 5 × 33
= 1/6 x 7/9 + 61.02739726
= 61.15702689 = 61.16 (2 d.p.)
21 20 15 22 19 23 17 what is the median and range
The median would be 22:
Step-by-step explanation: The median is the number that is in the middle
Simply defined, the median is the number right in the middle of a set.
But before I get down to finding the median, I will order the numbers from least to greatest:
15, 17, 19, 20, 21, 22, 23
Now, the middle number is 20. So that's the median.
As for the range, it's the difference between the largest number and the smallest one:
Range = Greatest number - Smallest number
= 23 - 15
= 6
In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.
Condense each Logarithm
The equation of logarithm are solved and
a) A = 2 + 3 log x + 4 log b
b) B = ( 36 + x + y ) ( log 6 )
c) C = ( 1/2 )x log 5
d) D = ln ( x⁴ / y² )
Given data ,
Let the logarithmic equation be represented as A
Now , the value of A is
a)
A = 2 log 10 + 3 log x + 4 log b
The base of the logarithm is 10 , so
A = 2 + 3 log x + 4 log b
b)
B = log 6³⁶ + log 6ˣ - log 6^ ( y )
From the properties of logarithm , we get
log A + log B = log AB
log A − log B = log A/B
log Aⁿ = n log A
B = 36 log 6 + x log 6 + y log 6
On taking the common term , we get
B = ( 36 + x + y ) ( log 6 )
c)
C = ( 1/2 )log 5ˣ
From the properties of logarithm , we get
C = ( 1/2 )x log 5
d)
D = 4 ln x - 2 ln y
From the properties of logarithm , we get
D = ln x⁴ - ln y²
On further simplification , we get
D = ln ( x⁴ / y² )
Hence , the logarithmic equations are solved
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Find the volume of a pyramid with a square base, where the side length of the base is
10.6
in
10.6 in and the height of the pyramid is
12.3
in
12.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
V = 460.68
Step-by-step explanation:
V=(lwh)/3
what is angle JLK?
a. 23 degrees
b. 24 degrees
c. 67 degrees
d. 134 degrees
Answer:
Answer is c, 67.
Step-by-step explanation:
So angle L and K are going to be the same, and so its going to be:
46+2n=180, since 180* inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
Answer is c, 67.
To check, 46+67+67=180
The measure of angle JLK is 67 degree.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
The angle L and K are going to be the same;
46+2n=180,
Since 180 inside a triangle and n= both L and K.
180-46=134
134/2=67
Both K and L will be 67.
The answer is c, 67.
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What are the slope and y-intercept for the graph of y-4x= -2
Answer:
The slope is 4 and the y-intercept is (0,-2)
JOSON Ortiz Budgeting Basics with Autumn Autumn is 22 years old and works as a checker at a local grocery store. Autumn lives in an apartment she shares with two other roommates. Autumn's take-home pay from her job is $1275.00 per month. Add this amount to her bank registry below. Here is a list of how Autumn will be budgeting her money this month. Move the expenses over to the bank registry and deduct them from the balance. Rent - $400.00 Utilities- $75.00 Cell Phone - $80.00 Subway Pass - $120.00 Groceries - $200.00 Work Clothes- $100.00 Entertainment $100.00 Savings $200.00 Transaction Paycheck Withdrawal Deposit Ending Balance Balance
Autumn's bank registry will be :
Transaction Amount Balance
Paycheck $1275.00 $1275.00
Rent $400.00 $875.00
Utilities $75.00 $800.00
Cell Phone $80.00 $720.00
Subway Pass $120.00 $600.00
Groceries $200.00 $400.00
Work Clothes $100.00 $300.00
Entertainment $100.00 $200.00
Savings $200.00 $0.00
How to explain the informationAs you can see, Autumn has $0.00 left over at the end of the month. This means that she is spending more money than she is earning. In order to create a budget that works for her, Autumn will need to find ways to cut back on her expenses. Some possible areas where she could cut back include:
Autumn could look for a cheaper apartment or move in with more roommates. Autumn could turn off lights and appliances when she's not using them and seal up any cracks or holes in her apartment to keep the heat in during the winter and the cool air in during the summer.
By cutting back on her expenses, Autumn can create a budget that works for her and save money for the future.
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Solve the Anti derivative.
Answer:
\(\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C\)
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: \(\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx\)
Trig Integration: \(\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C\)
Step-by-step explanation:
Step 1: Define
\(\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx\)
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: \(\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx\)[Integral] Integration Property - Multiplied Constant: \(\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx\)Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
\(\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx\)
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: \(\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du\)[Integral] Trig Integration: \(\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C\)[Integral] Simplify: \(\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C\)[integral] Multiply: \(\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C\)[Integral] Back-Substitute: \(\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C\)Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
share 660kg in ratio of 5:7
5x+7x=660;
12x=660;
x=660:12;
x=55 (kg).
Then 5x=5×55=275 kg and 7x=7×55= 385 kg.
The required ratio is therefore
660= 275:385.
100 Points!!! Algebra question, multiple choice. Only looking for an answer to #8. Find the maximum value of f(x,y)=3x+y for the feasible region. Photo attached. Thank you!
Answer:
+4
Step-by-step explanation:
F(x,y) = 3x+y and y <= -2x+ 4 sub in for 'y'
= 3x + (-2x+4)
= x + 4
If you look at the graph for y <= - 2x+4 ( see below)
you will see that the domain (x values ) can only go from 0 to 4 and the max value is +4 ( rememeber too that y is restricted to >= 0 as is x )
Write an equation of the line through (6,-2) with a slope of 4
Notice that for this question, they are providing you with:
1) The slope of the line (4)
2) a point on the plane through which the line goes (6, -2)
So you can directly use for this the "point-slope" form of a line which is as follows:
\(y-y_0=m(x-x_{0)}\)This includes m as the slope, and the pair (x0, y0) as the pair representing the point the line goes through.
So, let's use the info they gave you to complete this:
\(y-(-2)=4(x-6)\)which we can work out a little more:
\(y+2=4x-24\)And even a little more to finish the equation of the line in its standard slope-intercept form:
\(y=4x-24-2=4x-26\)So the equation of the line is:
\(y=4x-26\)Can y’all help me on question 24?!
Finde the value of x in the proportion ( 5x+ 1 ):3 =(2x +2): 7(6 x) = (4x) :7
In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.
In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.
To find the value of x in the given proportions, let's solve them one by one:
(5x + 1) : 3 = (2x + 2) : 7
To solve this proportion, we can cross-multiply:
7(5x + 1) = 3(2x + 2)
35x + 7 = 6x + 6
Subtracting 6x from both sides and subtracting 7 from both sides:
35x - 6x = 6 - 7
29x = -1
Dividing both sides by 29:
x = -1/29
Therefore, the value of x in the first proportion is -1/29.
(6x) : (4x) = 7
To solve this proportion, we can simplify the left side:
6x / 4x = 7
Dividing both sides by 2x:
3/2 = 7
This equation is not true, as 3/2 is not equal to 7.
Therefore, there is no value of x that satisfies the second proportion.
In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.
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If the median is 3.5, we can assume the mean is ____________than 3.5
We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
What is mean?The mean is a measure of central tendency that represents the average value of a set of numbers. It is also called the arithmetic mean or simply the average.
According to question:We cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
The mean and the median are two different measures of central tendency, and they can have different values depending on the distribution of the data. In general, if a data set is symmetric and bell-shaped, the mean and the median are close to each other. However, if the data set is skewed, the mean and the median may be different.
For example, consider the following two data sets:
Set 1 data: 1, 2, 3, 4, and 5.
The median is 3.
The mean is (1 + 2 + 3 + 4 + 5) / 5 = 15 / 5 = 3.
Data set 2: 1, 2, 3, 4, 10
The median is 3.
The mean is (1 + 2 + 3 + 4 + 10) / 5 = 20 / 5 = 4.
In data set 1, the mean is the same as the median. In data set 2, the mean is greater than the median because the value 10 is an outlier that pulls the mean up.
Therefore, without additional information about the distribution of the data, we cannot make a general assumption about whether the mean is greater or less than 3.5 based solely on the fact that the median is 3.5.
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PLEASE HELP ASAP!! im so confused i just need some help. WIll mark BRAINLIEST>
Answer:
C
Step-by-step explanation:
x + 9 = 4(x-1)²
x + 9 = 4(x² - 2x + 1) Multiply (x - 1) times (x - 1)
x + 9 = 4x² - 8x + 4
4x² - 9x - 5 = 0 Subtract x + 9 from both sides
How would you describe a linear learning curve. Choose the best available answer. for each unit of time the performance improves a proportional amount for each unit of time the performance decreases a proportional amount the performer displays rapid initial improvement followed by a decline in the rate of improvement the performer displays little initial improvement followed a rapid increase in the rate of improvement none of the above
Answer:
My answer would be; the performer displays rapid initial improvement followed by a decline in the rate of improvement.
Step-by-step explanation:
Usually a learning curve means that struggles are occurring after time of understanding and if we were creating a linear graph of this learning curve, it would be decreasing.
a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite. the geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis. (a) what is the pmf of the number of granite specimens selected for analysis? (round your probabilities to four decimal places.) x 9 correct: your answer is correct. 10 correct: your answer is correct. 11 correct: your answer is correct. 12 correct: your answer is correct. 13 correct: your answer is correct. 14 correct: your answer is correct. p(x) 0.0974 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1612 incorrect: your answer is incorrect. 0.1384 incorrect: your answer is incorrect. 0.0974 incorrect: your answer is incorrect. (b) what is the probability that all specimens of one of the two types of rock are selected for analysis? (round your answer to four decimal places.) 0.0974 incorrect: your answer is incorrect. (c) what is the probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value? (round your answer to four decimal places.)
The standard deviation is 1.0319
x values between 10.4681 and 12.5319 are respectively ( 11 , 12 )
The probability that the number of granite specimens selected for analysis is within 1 standard deviation of its mean value is 0.6740
How to solve thisWe are given that: a geologist has collected 14 specimens of basaltic rock and 14 specimens of granite.
Thus total rocks = N = 14 +14 = 28
The geologist instructs a laboratory assistant to randomly select 23 of the specimens for analysis.
Thus sample size = n = 23
Part a) What is the pmf of the number of granite specimens selected for analysis?
x = the number of granite specimens selected
Thus M = Number of granite specimens = 14
Thus x can have the following values:
x n-x = 23-x
9 14
10 13
11 12
12 11
13 10
14 9
We can select a minimum 9 granite specimens, so that total becomes 9 granite specimens + 14 basaltic rock = 23
and maximum 14 granite specimens, so that total becomes 14 granite specimens + 9 basaltic rock = 23
Here x = the number of granite specimens selected follows Hypergeometric distribution with parameters N = 28 ,M=14 , n = 23 .
P(X=9) =0.02037
Similarly, we find all next probabilities:
x P(x)
9 0.0204
10 0.1426
11 0.3370
12 0.3370
13 0.1426
14 0.0204
Part b) What is the probability that all specimens of one of the two types of rock are selected for analysis?
the probability that all specimens of one of the two types of rock are selected
That is:
P( All 14 are granite specimens and rest 9 are basaltic rock OR All 14 are basaltic rock and rest 9 are granite specimens)=......?
That is:
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =......?
From above table in part a) , we have:
P( 14 granite specimens) = 0.0204 , that means
P(14 granite specimens , 9 basaltic rock) = 0.0204
and
P( 9 granite specimens)=0.0204
That is:
P( 14 basaltic rock , 9 granite specimens) = 0.0204
Thus
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) =0.0204 + 0.0204
P( 14 granite specimens , 9 basaltic rock OR 14 basaltic rock , 9 granite specimens) = 0.0408
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While scuba diving, Rajeev dove to a depth of 12.6 feet below the surface of the water and then descended another 8.7 feet. What expression can be used to find Rajeev’s new position? (This is test my first question :D) What is answer tell me NOW.
Answer:
The expression that can be used it -12.6+-8.7=-21.3
Step-by-step explanation:
Make sure you look at what I put because it is negative 12.6 AND negative 8.7 which is why there is an addition mark in between them both
Answer:
B: –12.6 – 8.7
Supóngase que el 2% de la población en promedio son zurdos. La probabilidad que en 100 personas haya 3 o más zurdos es
The probability of 3 or more deaf people in a sample of 100 is given as follows:
0.3633 = 36.33%.
What is the binomial distribution formula?The mass probability formula, giving the probability of x successes, is of:
\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are given by:
n is the number of trials of the experiment.p is the probability of a success on a single trial of the experiment.The values of the parameters for this problem are given as follows:
p = 0.02, n = 100.
The probability of 3 or more deaf people are given as follows:
P(X >= 3) = 1 - P(X < 3).
In which:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2).
Hence:
P(X = 0) = 0.98^100 = 0.1326.P(X = 1) = 100 x 0.02 x 0.98^99 = 0.2707.P(X = 2) = 99 x 50 x 0.02² x 0.98^98 = 0.2334.Thus:
P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)
P(X < 3) = 0.1326 + 0.2707 + 0.2334
P(X < 3) = 0.6367.
P(X >= 3) = 1 - P(X < 3).
P(X >= 3) = 1 - 0.6367.
P(X >= 3) = 0.3633.
TranslationWe suppose that 2% of the population is deaf, and want to find the probability of 3 or more deaf people in a sample of 100.
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Please Someone help do not understand it ASAP
Answer:
1a) 90 = 2y + 2(2x) 1b) 45 - 2x = y
Step-by-step explanation:
1a) 90 = 2y + 2(2x)
1b) 90 = 2y + 2(2x) Use the equation from above and multiply
90 = 2y + 4x
-4x - 4x Subtract 4x from both sides
90 - 4x = 2y Divide both sides by 2
45 - 2x = y