The measure of central angle abc is startfraction pi over 2 endfraction radians. What is the area of the shaded sector?.
The area of the shaded sector is 9π unts²
The term "turn" also refers to a 360° rotation. Angles between 0° and 360° are calculated. We require a circle's circumference, which is equal to 2 r r, where r is the circle's radius.
In any circle of radius r, the ratio of the arc length ℓ to the circumference equals the ratio of the angle θ subtended by the arc at the center and the angle in one revolution. Thus, measuring the angles in radians, ℓ2πr=θ2π⟹ ℓ=rθ.
Find the diagram attached
Given the following
Radius = 6
Theta = pi/2 = 90°
Area of the sector = theta/360×πr²
Area if the sector = 90/360 × π(6)²
Area of the Sector = 1/4 × 36π
Area of the sector = 9π unts²
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five friends were comparing the height of their dogs. the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm. what is the standard deviation (nearest integer) of the heights of these dogs?: * a) 60mm b) 400mm c) 70mm d) 414mm e) 2070mm
If the heights of five dogs are 400 mm, 370 mm, 470 mm, 330 mm and 500 mm. Then the standard deviation of the heights of the dogs is:
c) 70 mm
Given:
five friends were comparing the height of their dogs.
the heights at the shoulders were 400mm, 370mm, 470mm, 330mm and 500mm.
we are asked to find out the standard deviation of the heights of these dogs = ?
First find mean :
(400+ 370+470 + 330 + 500)/5
Mean = 2070/5
Mean = 414
standard deviation = √∑(xi - mean)²/N-1
= √(400-414)²+(370-414)²+(470-414)²+(330-414)²+(500-414)²/4
= √(14)²+(-44)²+(56)²+(-84)²+(86)²/4
= √196+1936+3136+7056+7396/4
= √19720/4
= √4930
= 70.21
rounding it to the nearest integer.
= 70 mm
Hence we get the required standard deviation as 70 mm.
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a sociologist is interested in the age at which a mother has her first child. a random sample of 20 recent births yielded an average maternal age to be 30 years with a standard deviation of 6.2 years. construct a 99% confidence interval for the mean age at which a mother has her first child.
At 99%, the confidence level will be (26.03,33.97)
given that
random sample n = 20
mean = 30
standard deviation = 6.2
the degree of freedom
df = n-1
= 20-1
=19
"t" at confidence level 99%, will be:
[tex]\alpha[/tex] = 1 - 0.99
=0.01
[tex]\alpha[/tex]/2 = 0.01/2
=0.005
t×[tex]\alpha[/tex]×df = t× 0.005 × 19
By using the student table, we get
= 2.861
The margin of error will be:
E = t[tex]\alpha[/tex]/2df× ([tex]\frac{s}{\sqrt{n} }[/tex])
= 2.861 ×[tex]\frac{6.2}{\sqrt{20} }[/tex]
= 3.97
At 99%, confidence interval will be:
=x - E < μ < x + E
=30 - 3.97 < μ < 30 + 3.97
=(26.03,33.97)
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What types of expenses should you make a savings plan for?
Answer:
It's a good idea to make a savings plan for all of your regular expenses, as well as any unexpected expenses that may come up. This can include things like housing costs, groceries, utilities, transportation costs, insurance premiums, and debt payments. It can also be helpful to save for larger expenses that you know are coming up, such as a vacation or a home repair. By making a plan for your savings, you can ensure that you have the funds available to cover all of your expenses, both expected and unexpected.
******I NEED ASAP AND PLS PUT THE WORK!!!!****, PLS ASAP
Pls put how you got it pls
In a game, the probability of winning is 33%. If i play 48 times, how many times should I expect to win?
Suppose the mean daily peak power load ( y) for a power plant and the maximum outdoor temperature (x) for a sample of 6 days is as given in the ff. Table x y 95 214 82 152 90 156 81 129 99 254 100 266 find the ff. The peak power load when the max. Temperature is 84.
As per the daily mean, the peak power load when max is possible to calculate with a computer or calculator.
The highest outdoor temperature and the mean daily peak power load for a sample of 6 days are provided in the table. However, it is impossible to estimate the peak power load when the highest temperature is 84 without more details. The presented data only reflects a sample of 6 days, which may not be typical of the full population, and the connection between peak power load and maximum temperature may not be linear. Furthermore, using the provided data to conduct any calculations is impossible without access to a computer or calculator.
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A machine is set to make parallel cuts on stone tiles. The cuts are made along straight lines l1 and l2. Line l2 has equation y = [tex]\frac{3}{4}[/tex] . Line l1 has gradient [tex]\frac{-(3x-4)}{8}[/tex] . Find x.
For straight lines l1 and l2 to be parallel, the value of x will be 4/3
How to find the value of x?Given that:
A machine is set to make parallel cuts on stone tiles.
Line l2 has equation y = 3/4
Line l1 has gradient -(3x-4)/8
Since y = 3/4. It is a horizontal line and the gradient of a horizontal line is 0. Also, if the straight lines l1 and l2 are parallel, then their will be the same. Thus:
-(3x-4)/8 = 0
-(3x-4) = 0
3x - 4 = 0
3x = 4
x = 4/3
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I attatched a photo of question please help!
a) The earnings of Portfolio 1 are given as follows: $679.5.
b) The Portfolio with the greatest earnings is: Portfolio 1.
How to obtain the earnings?The earnings are found by the sum of the multiplication of the equivalent decimal of the return by the investment.
The equivalent decimals are given as follows:
Savings: 0.028.Government: -0.0155.Preferred: 0.117.Common: 0.0849.Then the earnings of the Portfolio 1 are given as follows:
0.028 x 1425 - 0.0155 x 1380 + 0.117 x 3400 + 0.0849 x 3100 = $679.5.
The earnings of the Portfolio 2 are given as follows:
0.028 x 4500 - 0.0155 x 3600 + 0.117 x 2150 + 0.0849 x 1980 = $489.86.
Hence Portfolio 1 earned the most, as 679.5 > 489.86.
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 Is it true that 7w + 4 = 5w + 12.
A. Write three more equations that you know are true based on this information.
B. Find the value of 2w.
C. Find the value of w.
Mrs. Gilmore is teaching a 5th grade class. She is standing 15 feet in front of Jonah. Brianna is sitting 8 feet to Jonah's right. How far apart are Mrs. Gilmore and Brianna? feet
Mrs. Gilmore and Brianna are 17 feet apart.
Pythagoras theorem is one of the mathematical principles that can be applied to determine the value of the unknown side of a right angled triangle. Where a right angled triangle is one with one of its angles to equal [tex]90^{o}[/tex].
In the given question, sketching the distance apart of each person, it would form a right angled triangle.
Let the distance in feet between Mrs. Gilmore and Brianna be represented by d.
Then;
[tex]/Hyp/^{2}[/tex] = [tex]Adj 1/^{2}[/tex] + [tex]/Adj 2/^{2}[/tex]
[tex]d^{2}[/tex] = [tex]15^{2}[/tex] + [tex]8^{2}[/tex]
= 225 + 64
= 289
d = 17
Therefore, Mrs. Gilmore and Brianna are 17 feet apart.
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the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%. this makes the standard deviation of the proportion of times it lands point up out of 100 tosses equal to?
The standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Given, the chance that a certain type of thumbtack lands point up when you toss it in the air is 80%.
we have to find the standard deviation of the proportion of the given data that it lands point up out of 100 tosses.
Number of trials be, 100
probability of success be, 80/100 = 0.8
On using the formula of Standard deviation, we get
standard deviation = n×p×(1 - p)
standard deviation = 100×0.8×(1 - 0.8)
standard deviation = 100×0.8×0.2
standard deviation = 16
So, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
Hence, the standard deviation of the proportion of times that it lands point up out of 100 tosses be, 16
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how do i solve 0.16
x 7
Answer:
Step-by-step explanation:
You'd multiply them by setting them correctly. When you multiply them you'd get 1.12 (don't know if you wanted the answer or just wanted to know how to multiply them)
Answer: 1.12 is the answer
Step-by-step explanation:
for an example here !
If = 3/5 find each of the trigonometric values.
a. cos =
b. sin2 =
c. cos2 =
d. tan2 =
e. csc2 =
f. sec2 =
g. cot2 =
Step-by-step explanation:
To find the values of the trigonometric functions, we need to know the angle whose cosine, sine, etc. we are trying to find. In this case, we are given that the cosine of the angle is 3/5, but we are not told the measure of the angle itself. We can find the values of the other trigonometric functions using the given value of the cosine, but we must first express the value in radians.
Since the cosine of an angle is equal to the x-coordinate of the point on the unit circle that is located on the terminal side of the angle, we can find the value of the angle in radians by finding the inverse cosine (cos^-1) of 3/5. In other words, we want to find the angle such that the cosine of the angle is 3/5.
The inverse cosine function is denoted by cos^-1, so we can write:
$\cos^{-1}(3/5) = \theta$
where $\theta$ is the measure of the angle in radians.
To find the value of the other trigonometric functions, we can use the following relationships:
$\cos^2\theta = 1 - \sin^2\theta$
$\tan^2\theta = \frac{\sin^2\theta}{\cos^2\theta} = \frac{1 - \cos^2\theta}{\cos^2\theta}$
$\csc^2\theta = \frac{1}{\sin^2\theta}$
$\sec^2\theta = \frac{1}{\cos^2\theta}$
$\cot^2\theta = \frac{\cos^2\theta}{\sin^2\theta} = \frac{\cos^2\theta}{1 - \cos^2\theta}$
We can now plug in the value of $\theta$ that we found earlier and use these relationships to find the values of the other trigonometric functions:
a. $\cos\theta = \cos(\cos^{-1}(3/5)) = \frac{3}{5}$
b. $\sin^2\theta = 1 - \cos^2\theta = 1 - (\frac{3}{5})^2 = \frac{4}{25}$
c. $\cos^2\theta = (\frac{3}{5})^2 = \frac{9}{25}$
d. $\tan^2\theta = \frac{\sin^2\theta}{\cos^2\theta} = \frac{\frac{4}{25}}{\frac{9}{25}} = \frac{4}{9}$
e. $\csc^2\theta = \frac{1}{\sin^2\theta} = \frac{1}{\frac{4}{25}} = \frac{25}{4}$
f. $\sec^2\theta = \frac{1}{\cos^2\theta} = \frac{1}{\frac{9}{25}} = \frac{25}{9}$
g. $\cot^2\theta = \frac{\cos^2\theta}{\sin^2\theta} = \frac{\frac{9}{25}}{\frac
What is the radius of a circle whose equation is y2 y2 8x 6y 21 0?
The radius of a circle having the equation x² + y² + 8x - 6y + 21 = 0 is 2 units .
In the question ,
it is given that ,
the circle is having the equation ⇒ x² + y² + 8x - 6y + 21 = 0 ,
we know that ,
general equation of circle is written as x² + y² + 2fx + 2gy + c = 0 ;
so , radius of circle is calculated using the below formula ,
radius = √(f² + g² - c)
On comparing, given equation of circle with general equation of circle ,
we get , the values of f = 4 and g = -3 .
So after substituting the values of f , g and c in the radius formula ,
we get ,
radius = √(16 [tex]+[/tex] 9 - 21)
= √(16 [tex]+[/tex] 9 - 21)
= √(25 - 21) = √4 = 2 .
Therefore , the given circle has radius = 2 units .
The given question is incomplete , the complete question is
What is the radius of a circle whose equation is x² + y² + 8x - 6y + 21 = 0 ?
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Solve the inequality -2<3m-5≤7 and graph the solution set.
The solution for the given inequality is 1 < m ≤ 4. The graph for the obtained solution set is shown below.
What is an inequality equation?Two expressions are related by comparative operations like 'less than or 'greater than or 'less than or equal or 'greater than or equal. Then that equation is said to be an "inequality equation".
For example, a < k ≥ b, etc.
Calculation:The given inequality equation is
-2 < 3m - 5 ≤ 7
On adding 5 to the inequality, we get
-2 + 5 < 3m - 5 + 5 ≤ 7 + 5
⇒ 3 < 3m ≤ 12
On dividing by 3, we get
⇒ 3/3 < 3m/3 ≤ 12/3
⇒ 1 < m ≤ 4
Therefore, the solution set for the given inequality is (1, 4].
The obtained solution set is shown on the number line here.
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Jason uses his car for business. He must keep accurate records so his company will reimburse him for his car expenses. When he started his trip, the odometer read 42,876. 1. When he ended the trip, it read 43,156. 1. Jason's car gets 35 miles per gallon. His tank was full at the beginning of the trip. When he filled the tank, it cost $17. 20. What price did he pay per gallon of gas on this fill-up?.
The price paid by Jason for the gallons of gas he used for the trip is $2.15per gallon of gas.
As given in the question,
Reading of odometer in the starting of trip = 42,876.1
Reading of odometer in the end of trip = 43,156.1
Total distance covered by Jason on his trip = 43,156.1 - 42,876.1
= 280 miles
Average miles per gallon of Jason's car = 35 miles per gallon
Gallons of gas used by Jason on his trip = 280 / 35
= 8 gallons
Amount of money used to fill gas = $17.20
Price of the gas per gallon = 17.20 / 8
= $2.15 per gallon of gas.
Therefore, the price paid by Jason for the per gallon of gas is equal to $2.15 per gallon of gas.
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use what you know about algebraic expressions and properties of opertaions so make sense of the problem
Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.
What is an Algebraic Expression ?Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The principles of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables. Constants and variables can both be used in an algebraic expression.
Any amount that is added before a variable and then multiplied by it is referred to as a coefficient.
Give some Examples of Algebraic Expression.4x + 3y - 8 , x - 4, and so forth.
These expressions are represented by variables, constants, and coefficients that are unknown. The combination of these three words is referred to as an expression. It should be noted that, in contrast to an algebraic equation, an algebraic expression lacks sides and the equal sign.
What are the four Operations in Algebraic Expression ?In mathematics, addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.
According to the given information
Addition, subtraction, multiplication, and division are the four fundamental arithmetic operations that represent algebraic operations on complex numbers.
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Tickets to a basketball game can be ordered online for a set price per ticket plus a $5.50 service fee. The total cost in dollars for ordering 5 tickets is $108.00. Which linear function represents c, the total cost, when x tickets are ordered? (A service fee is a single fee applied to the total, no matter the number of tickets purchased).
c(x) = 5.50 + 20.50x
c(x) = 5.50x + 20.50
c(x) = 5.50 + 21.60x
c(x) = 5.50x + 21.60
Answer:
c(x) = 5.50 + 21.60x
Step-by-step explanation:
To start, we are told that the service fee of 5.50 is added to the set price per ticket. So we can automatically eliminate B and D
Now, to find how much it costs per ticket, we have to divide 108.00 by 5 since we are told that it costs $108 to buy 5 tickets
108.00/5 = 21.60
This means that it costs $21.60 per baseball ticket
So the third answer choice is correct
Compare the cube root of 50 and 350% using >, <, or =.
350 percent is less than the cube root of 50
350 percent is greater than the cube root of 50
the cube root of 50 is less than 350 percent
the cube root of 50 is equal to 350 percent
The 350 percent is less than the cube root of 50.
How to compare two numbers?In math, comparing numbers is defined as the process or method of determining whether one number is smaller, greater, or equal to another number based on their values.The greater number is the one with more digits. If two numbers have the same number of digits, compare the numbers' left-most digits.Here given two numbers,
∛50 and 350%
To compare the numbers we have to make to to simplest fraction,
∛50
The radical form of the cube root of 50 is ∛50, and the exponent form is (50)⅓ . The prime factorization of 50 is 2 x 5 x 5,
so the cube root of 50 in its simplest radical form is ∛50 .
50 cube root : 3.684031499
350%
The number 350% can be expressed as ,
350 / 100
350/100 = 3.5
So by comparing 3.684031499 and 3.5, 3.684031499 is larger
So ∛50 is larger than 350%
Therefore 350% is < ∛50.
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Answer:
350 percent is less than the cube root of 50
Step-by-step explanation:
How do you calculate travel time in km?
With the help of time -distance formula we can calculate travel time in km for any given problem or situation.
We know the formula we relate to distance and time that which is called time -distance formula is :
t= d/s, where d is the distance and s is the speed of the object.To calculate travel time in km, first, we need to divide the total distance in km by the average speed of travel in terms of km/hour, later multiplying the result by 60 to get the travel time in minutes.
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3-3: MathXL for School: Additional Practice
Tell whether each function is linear or nonlinear
The function A is a linear function.
The function B is not a linear function.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Function A.
The coordinates:
(0, 1), (1, 0), (2, -1), (3, -2), (4, -1)
The rate of change of a linear function between any two points is the same.
Rate of change:
= (0 - 1) / (1 - 0) = -1/1 = -1
= (-1 - 0) / (2 - 1) = -1/1 = -1
= (-2 + 1) / (3 - 2) = -1/1 = -1
The function A is a linear function.
Function B.
The linear function graph is a straight line.
Function B graph is not a straight line.
Thus,
Function A is a linear function but function B is not a linear function.
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Write the equation of the line passing through(3,5) and (0,2).
Answer: y = 3x + 2
Step-by-step explanation:
Let's start with what we know. To calculate the slope, we do:
(y1 - y2)/(x1 - x2)
So, for this equation we get:
(5 - 2)/(3-0)
We get 3/3, so the slope = 1. So far, we have:
y = 3x + b
Let's use one of our coordinates to plug this in:
2 = 0 + b
So b = 2.
So our final equation is:
y = 3x + 2
what are the x-intercepts of the quadratic equation? 7x(2x+5)=0
The quadratic equation 7 · x · (2 ·x + 5) = 0 have the points x₁ = 0 and x₂ = - 5 / 2 as its x-intercepts.
How to find the x-intercepts of a quadratic equation
In this problem we must determine the the x-intecerpts of a quadratic equation, that is, the values of x such that A · x² + B · x + C = 0. This question can be resolved by means of algebra properties. First, write the quadratic equation:
7 · x · (2 ·x + 5) = 0
Second, expand the expression and simplify until standard form is found:
7 · x · (2 ·x + 5) = 0
14 · x² + 35 · x = 0
Third, complete the square:
x² + (35 / 14) · x + 25 / 16 = 25 / 16
(x + 35 / 28)² = 25 / 16
Fourth, clear the variable x:
x + 35 / 28 = ± 5 / 4
x = - 35 / 28 ± 5 / 4
x = - 5 / 4 ± 5 / 4
The points x₁ = 0 and x₂ = - 5 / 2 are the x-intercepts of the quadratic equation 7 · x · (2 ·x + 5) = 0.
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40 horses to 6 cows
Answer:
20:3 ratio
Step-by-step explanation:
Answer:20 horses to 3 cows or 20:3
Step-by-step explanation:
The answer would be 20:3. If you notice that Both 40 and 6 can be divided by 2 so you would divide 40 by 2 and get 20 as your answer. And for the next you would divide 6 by 2 getting 3. So your ratio would be 20 horses to 3 cows or 20:3. I hope you were able to understand and I hope this helps you! I'm so sorry I didn't see your question earlier!
there are two kids in the group, alex and his best friend jose. what is the probability that alex and jose end up on the same team?
the probability that alex and jose end up on the same team is 44.4%
What is probability?
By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.
there are two kids in the group, Alex and his best friend Jose.
alex and Jose end up on the same team
Since the order of students in the team is not important so the combination will be used.
The number of ways of selecting 5 students out of 10 is
C(10,5) = 252
Rest of 5 students will go into team B. Therefore, the number of elements in the sample space is 252.
P(Alex and Jose are in one team) = 112 / 252 = 0.4444
Hence the probability that Alex and Jose end up on the same team is 44.4%
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Yolanda is charged $21.95 for her monthly fee and 4 movie rentals. Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals. determine the price for the monthly fee and the the price per movie rental.
The price for the monthly fee will be;
⇒ x = $9.99
And, The price per movie rental will be;
⇒ y = $2.99
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Yolanda is charged $21.95 for her monthly fee and 4 movie rentals.
And, Jeffrey is charged $30.92 for the same monthly fee and 7 movie rentals.
Now,
Let the price for the monthly fee = x
And, The price for the movie rental = y
Hence, We can formulate the expression for Yolanda;
⇒ x + 4y = $21.95
And, We can formulate the expression for Jeffrey;
⇒ x + 7y = $30.92
Subtract equation (ii) from (i), we get;
⇒ 7y - 4y = $30.92 - $21.95
⇒ 3y = $8.97
⇒ y = $2.99
And, x + 4y = $21.95
x + 4 × 2.99 = 21.95
x + $11.96 = $21.95
x = $21.95 - $11.96
x = $9.99
Thus, The price for the monthly fee = $9.99
And, The price per movie rental = $2.99
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Nathalie weighed 7lbs 9oz when she was born. She now weighs 12 times as much. A) How much does she weigh now in lbs and oz? B) By what percent did her weight increase? URGENT!!!
Assuming that Nathalie's weight is still measured in pounds and ounces and that she has not lost or gained any weight since her birth, we can calculate her current weight as follows:
A) Nathalie weighs 7 pounds and 9 ounces at birth, which is equal to 7.5625 pounds. If she now weighs 12 times as much, she weighs 7.5625 * 12 = 90.75 pounds. In ounces, this is equal to 90.75 * 16 = 1452 ounces.
B) To calculate the percentage increase in Nathalie's weight, we need to first calculate the increase in her weight, which is equal to 90.75 - 7.5625 = 83.1875 pounds. We can then divide this increase by her original weight of 7.5625 pounds and multiply by 100% to express the result as a percentage: (83.1875 / 7.5625) * 100% = 1103.9%. This means that Nathalie's weight has increased by more than 1100% since she was born.
Name the sides of triangle FYT for
which angle F is the included angle.
Answer:
1. FY and FT
Step-by-step explanation:
1. Which sides form angle F?
Answer: FY and FT
Sides FY and FT form the sides of ΔFYT for which ∠F is the included angle.
What is a triangle?A triangle is a polygon having three vertices and three edges. Sum of the interior angles of a triangle is 180°.
There are three sides and three angles for the triangle.
For ΔFYT given here, FY, YT and FT are the edges or sides of the triangle. ∠F, ∠Y and ∠T are the angles of this triangle formed at vertices F, Y and T respectively.
∠F is formed by the edges FT and FY
∠Y is formed by the edges FY and YT
∠T is formed by the edges YT and FT
Hence, sides of the triangle FYT for which angle F is the included angle are FT and FY.
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2x4=8
I need help with thi algebra, it i my firt time learning it!
Thank much appreciated
if 10% of the students in a certain school are left-handed, what is the probability that 2 or fewer students are left-handed in a random sample of 65 students from the school? use excel to find the probability. round your answer to four decimal places.
The required probability that 2 or fewer students are left-handed in a random sample of 65 students from the school is 0.0360.
Let X be a random variable which denotes the number of students who are left handed out of a sample of 65 students.
Here we have 65 students, therefore the number of trials would be 65. It would be reasonable to assume that the probability of one student being left handed is independent of any other student.
Therefore, the trials are independent.
There are only two possible outcomes for each trial i.e, either success or failure. The probability of success for each trial is 0.1
Hence we can say that X follows a binomial distribution with n = 65 and p = 0.1
X ~ Bin(65,0.1)
We need the probability that 2 or fewer students are left handed. This is given as :
P(X≤2)
we shall use the BINOM.DIST() function to find this
The syntax is given as:
= BINOM.DIST(number_s,trials,probability_s,cumulative)
Here,
number_s denotes the number of success required (2 in this case)
trials is the number of trials(65 in this case)
Probability_s is the probability of success in each trial (0.1 in this case)
cumulative, if true indicates the CDF or false if the PDF of X(TRUE in this case)
Hence the function which we use is
= BINOM.DIST(2,64,0.1,TRUE)
on running this code in any cell of excel, we get the probability as 0.035973
The required probability is 0.0360
Learn more about Probability here:
https://brainly.com/question/25688842
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