A 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.
This is because the larger sample size gives the interval a larger margin of error, meaning the interval is more likely to contain the true population means. This is due to the greater number of data points used to calculate the mean, which reduces the possibility of outliers skewing the results.
Additionally, the larger sample size increases the power of the test, meaning that the probability of getting a statistically significant result is increased. Therefore, the 90% confidence interval based on a sample of size 200 would be more reliable than the original 90% interval.
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I don’t Understand this question
According to this information, investments with 4.2, 1.3 and 2.8 interest have a profit of more than $100. On the other hand, investments with interest of 0.75 and 5.2 have a profit of less than $100.
How to calculate the profit of these investments?To calculate the profit of these investments we must carry out the following procedure:
1. We must divide the interest in 100
2. We must multiply the interest by the total value of the investment ($1500).
3. We must multiply the result by the number of years of the investment.
4. We must classify the result as less than or greater than $100.
According to the above, investments with 4.2, 1.3 and 2.8 interest have a profit of more than $100. On the other hand, investments with interest of 0.75 and 5.2 have a profit of less than $100.
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at a large university, the division of computing services surveyed a random sample of 45 biology majors and 55 business majors from populations of over 1,000 biology and 1,000 business majors. the sampled students were asked how many hours they spend per week using any university computer lab. let x¯1 represent the average hours per week spent in any university computer lab by the 45 biology majors, and let x¯2 represent the average hours per week spent in any university computer lab by the 55 business majors.
According to the central limit theorem, difference of sample mean of two normal populations will also fill normal distribution if the sample size is at least 30 .
What does a statistical sample distribution mean?
An example of a sampling distribution is a probability distribution of a statistic that is derived from repeated sampling of a particular population. It describes a variety of potential possibilities for a statistic, such the mean or mode of some variable in a population.
What are the different forms of sample distribution?
This idea, which is a sort of probability distribution, is frequently used to gather precise data from a huge population that has been divided into a number of samples that have been chosen at random.
This idea is further broken down into three categories: sampling Distribution of the mean, percentage, and T-Sampling.
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The complete question is -
Ata large university, the division of computing services surveyed random sample of 45 biologv majors and 55 business majors from populations of over 1,000 biology and O00 business majors. The sampled students were asked how many hours they spend per week using any university computer lab. Let represent the average hours per week spent in any university computer lab by the 45 biology majors, and let 1, represent the average hours per week spent in any university computer lab by the 55 business majors. Which of the following Is the best explanation for why the sampling distribution of can be modeled with a normal distrlbution? A) The two sample standard deviations are assumed to be equal_
Look at picture below!
The cardinal number of the set , n ( D ) = 1 .
What is the cardinal number of a set ?The natural numbers that are used to determine the cardinality of sets are extended into cardinal numbers . The shortened term "cardinals" is frequently used to describe cardinals. The number of objects contained within a finite set , known as the cardinality , is equal to a natural number .
The cardinal number here would therefore be the number of unique values which is only 1 and that 1 is eight .
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One way to compute a 15% tip for a bill is to multiply it by 0.15.
A restaurant bill was $42.40.
what do i do ??????
im in middle school
The amount of tip will be $6.36. And the total amount of the restaurant bill with the tip will be $48.76.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
One way to compute a 15% tip for a bill is to multiply it by 0.15. A restaurant bill was $42.40.
Then the amount of tip is given as,
Tip amount = $42.40 x 0.15
Tip amount = $6.36
The total amount is given as,
Total amount = $42.40 + $6.36
Total amount = $48.76
The amount of tip will be $6.36. And the total amount of the restaurant bill with the tip will be $48.76.
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Landscaping A landscaping project requires that you estimate the length of a drain line. You pace off the length as being 24 strides long. You know from prior experience that each of your strides is of a yard. What would be your estimate of the length of the drain line?
3
The solution is the length of the drain line is 20 ft.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
You pace off the length as being 24 strides long.
we know, 1 strides = 2.5 feet
i,e, we have, 60 ft.
now,
You know from prior experience that each of your strides is of a yard.
again, 1 yard = 3 ft.
so, the length of the drain line = 60/3
= 20 ft.
Hence, The solution is the length of the drain line is 20 ft.
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A cone has a volume of 1024π cubic inches. If the radius is 16 feet, what is the height of the cone?
The height of the cone is 0.083 inches
How to determine the height of the cone?From the question, we have the following parameters that can be used in our computation:
Volume = 1024π cubic inches
Radius = 16 feet
Convert the radius to inches
So, we have the following representation
Radius = 192 inches
The volume of a cone is
Volume = 1/3πr^2h
Substitute the known values in the above equation, so, we have the following representation
1/3πr^2h = 1024π
So, we have
r^2h = 3072
This gives
h = 3072/(192^2)
Evaluate
h = 0.083
Hence, the heightt is 0.083 inches
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What is the total surface area of the square pyramid below?
The total surface area of the square pyramid is; 336 ft²
How to find the total surface area of the square pyramid?To find the total surface area of the square pyramid, we will first of all calculate the areas of the individual shapes into which it is broken down and then add up to get the total surface area.
Area of a triangle is given by the formula;
A = ¹/₂ * base * height
Thus, area of 4 triangles here is;
A = 4(¹/₂ * 12 * 8)
A = 192 ft²
Area of square = 12 * 12
= 144 ft²
Thus;
Total surface area of square pyramid = 192 + 144
= 336 ft²
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A law firm is going to designate associates and partners to a big new case. The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1200. The law firm assigned a total of 13 lawyers to the case and was able to charge the client $12000 per day for these lawyers' services. Graphically solve a system of equations in order to determine the number of associates assigned to the case, x, and the number partners assigned to the case, y. ( solve by graphing )
The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
Given that,
The daily rate charged to the client for each associate is $600 and the daily rate for each partner is $1100.
The law firm assigned a total of 10 lawyers to the case and was able to charge the client $8000 per day for these lawyers' services.
Here we assume number of associate be x and no of partners be y.
Based on the above information, the calculation is as follows:
x + y = 10
x = 10 - y
Now put the value of x in the below equation
600x + 1100y = 8,000
600 (10 - y) + 1100y = 8000
6000 - 600y + 1100y = 8000
2000 = 500y
y = 4
So x = 10 - 4
= 6
Hence, The number of associates assigned to the case and the number of partners assigned to the case is 6 and 4.
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an arithmetic sequence $2,5,8, 11, 14,\ldots$ is written in order in a book, one hundred numbers per page, beginning on page one. on which page will the number $11{,}111$ appear?
An arithmetic sequence is a sequence of numbers where the difference between any two consecutive terms is always the same. In this case, the common difference is 3, so every term is 3 more than the previous term.
The [tex]$n^{th}$[/tex] term in the arithmetic sequence can be found using
[tex]$a_n = a_1 + (n - 1)d$[/tex]
where $a_1$ is the first term (2 in this case), $d$ is the common difference (3 in this case), and $n$ is the term number.
To find the page number that $11{,}111$ appears on, we need to find the term number that corresponds to this value:
[tex]$11{,}111 = 2 + (n - 1) \cdot 3$[/tex]
Solving for $n$, we have:
$11{,}109 = 3n - 1$
$3n = 11{,}110$
$n = 37{,}037$
Since each page contains 100 numbers, the number 11,111 appears on page $\left\lceil \frac{37{,}037}{100} \right\rceil = 371$.
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Find the domain of f(x) = -√√²-4.
Ox≥ 2 orx≤ - 2
Ο x >2
0x2 -2 or x ≤ 2
O all real numbers
The domain of the given function is x≤-2
What are functions?Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given here: The function f(x)=-√(√-4x)²
Simplifying the expression we get
f(x)=-√(√-4x)²
f(x)= -√-4x
Case 1) If the domain of x is greater than 2 then we have
f(3)=-√-12 which is a complex number and thus is not possible.
Case2 id x≤-2
then we have
f(-2)=-√8 which is not complex
Thus the feasible domain of the function is given by x≤-2
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determine whether the first is a subset of the second, the second is a subset of the first, or neither is a subset of the other. a. the set of people who were born in the u.s., the set of people who are u.s. citizens. b. the set of students studying a programming language, the set of students studying java. c. the set of animals living in the ocean, the set of fish.
Given the following subset phrases are neither is a subset of the other. A set whose elements are all members of another set is simply referred to as a subset.
Because U.S. citizenship can also be acquired through other means, the group of people born in the country is a subset of the group of people who are citizens of the country. The group of Java learners all belong to the group of learners of a programming language, so Because Java is simply one of the many distinct kinds of programming languages, the group of students studying Java is a subset of the group of students studying a programming language. Since fish are just one of the many different marine species that dwell in the ocean, fish are a subset of the animals that live in the ocean.
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A survey of 1,000 people was done. 80% of the people surveyed knew all 50 states in alphabetical order. How many of the 1,000 people did not know all 50 states in alphabetical order?
Answer: 200
Becase 80% of 1000 is 800 and 1000- 800 =200
Calculate the area of triangle cde with altitude ef, given c (3, −2), d (−1, 2), e (2, 3), and f (0, 1). 4 square units 6.2 square units 8 square units 8.7 square units
The area of triangle cde with altitude ef is 8 square units. This is calculated by finding the height from point "e" to "f", and the base from point "c" to "d", and then using the formula: Area = (base * height) / 2. The answer is 8 square units.
The area of a triangle can be calculated using the formula:
Area = (Base x Height) / 2
To find the height, we need to find the distance between the point where the altitude intersects the base (in this case, point "f" on the y-coordinate of point "e"), and the other two points of the triangle (in this case, "c" and "d").
The equation for a line in the form y = mx + b can be used to find the y-coordinate of point "f". Using the coordinates of points "c" and "e", the slope can be found by:
m = (3 - (-2)) / (2 - 3) = -1
The y-intercept can be found using the coordinates of point "c" and the slope:
b = -2 - (3 * -1) = 1
So the equation of the line that passes through points "c" and "e" is:
y = -x + 1
We can now use this equation to find the y-coordinate of point "f":
y = -x + 1
y = -0 + 1
y = 1
The height of the triangle is now the distance between points "e" and "f":
height = |3 - 1| = 2
The base of the triangle can be found by taking the distance between points "c" and "d":
base = |(-1) - (3)| = 4
So the area of the triangle is:
Area = (base * height) / 2
Area = (4 * 2) / 2
Area = 8
The area of the triangle is 8 square units.
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Triangle RST is shown in the coordinate plane. What are the coordinates of R'S'T' if the figure is reflected over the x-axis and translated down two units? Responses (1, 2), (1, 5), (6, 5) (1, 2), (1, 5), (6, 5), (1, -6), (1, -9), (6, -9) (1, -6), (1, -9), (6, -9) , (3, 2), (3, 5), (8, 5) (3, 2), (3, 5), (8, 5) ,(3, 4), (3, 7), (8, 7) (3, 4), (3, 7), (8, 7) ,
The reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
What is reflection?A sort of symmetry known as reflective symmetry occurs when one half of an object mirrors the other half. It also goes by the name "mirror symmetry."
For instance, both the left and right sides of a human face are typically the same. Most butterflies have identical wings on their left and right sides.
The given points of the triangle are R(3,-4), S(3,-7), and T(8,-7).
The reflected points of the triangle will be:-
R(3,-4) = R'( 3, 4)
S(3,-7) = R'(3,7)
T(8,-7) = R(8, 7)
The translated points by 2 units down will be:-
R'( 3, 4) = R''( 3, 2)
R'(3,7) = S''( 3, 5)
R(8, 7) = T''(8,5)
Therefore, the reflected and then translated coordinates of the triangle are R'( 3,2), S'(3,5), and T'( 8, 5).
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Answer:
so the other guy can get brainlyest
Step-by-step explanation:
pls like and rate
an election is coming up between four candidates. in your opinion, candidate a is half as likely to win as candidate c. candidate b is twice as likely to win as candidate d. candidate d is three times more likely than c. for the candidate most likely to win the election, what is the probability that they are going to win?
The probability that candidate B is going to win the election is 2.
The probability of candidate A winning the election is 0.5, the probability of candidate B winning the election is 2, the probability of candidate C winning the election is 1/3 and the probability of candidate D winning the election is 2/3.
Therefore, the candidate most likely to win the election is candidate B, and the probability that they are going to win is 2. This can be calculated using the formula for probability, which states that the probability of an event occurring is the number of favourable outcomes divided by the total number of outcomes. In this case, the number of favourable outcomes is 1 and the total number of outcomes is 3, so the probability of candidate B winning is 1/3.
Therefore, the probability that candidate B is going to win the election is 2.
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Write a conjecture that describes the pattern in each sequence. Then use your conjecture to find the next item in the sequence. 1, 10, 100, 1000
The conjecture that describes the pattern in each sequence is *10, the next item in the sequence. 1, 10, 100, 1000 is 10000.
What is a geometric sequence and how to find its nth terms?Suppose the initial term of a geometric sequence is a
and the term by which we multiply the previous term to get the next term is r
Then the sequence would look like
[tex]a, ar, ar^2, ar^3, \cdots[/tex]
(till the terms to which it is defined)
Thus, the nth term of such sequence would be T_n = ar^{n-1} (you can easily predict this formula, as for nth term, the multiple r would've multiplied with initial terms n-1 times).
Given;
The following sequence that can be used in our computation:
1,10,100,1000
In the above sequence, we can see that 4 is added to the previous term to get the current term
Using the above as a guide,
Next term = 1000*10
Evaluate
Next term = 10000
Therefore, the next term of sequence will be 10000.
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Which two square roots are used to estimate Start Root 47 End Root?
Answer:4
Step-by-step explanation: answer 4
A regular polygon has an interior angle of 172°. Find the exterior angle and work out how many sides it has.
Answer:
Hi my dream princess
A regular polygon with an interior angle of 172° has the following characteristics:
Exterior angle: 360° / number of sides - interior angle.
Number of sides: 360° / exterior angle.
Using this information, we can find the exterior angle and the number of sides:
Exterior angle: 360° / number of sides - 172°.
Number of sides: 360° / (360° / number of sides - 172°).
Solving for the number of sides, we have:
Number of sides: 360° / (360° / number of sides - 172°)
= 360° / (360° / number of sides) - 172° / (360° / number of sides)
= number of sides - 172° / (360° / number of sides)
= number of sides (1 - 172° / 360°)
= number of sides * 188° / 360°.
Since we have a fraction involving a fraction, we can simplify:
Number of sides = number of sides * 188° / 360°
= number of sides * 47° / 90°
= number of sides * 47 / 90.
Since 47 and 90 are both divisible by 47, we can simplify further:
Number of sides = number of sides * 47 / 90
= number of sides * 1 / 2.
Therefore, the regular polygon has 2 sides and each exterior angle is 180°. The polygon is an isosceles triangle.
The Fairfax Tigers are having team shirts made. One option is to pay Rhianna's Tees a $20 setup fee and then buy the shirts for $8 each. Another option is to go to City Printing, paying $30 for a setup fee and an additional $6 per shirt. The team parent in charge of the project notices that, with a certain number of shirts, the two options have the same cost. What is the cost?
The cost when the two options are the same is equal to $60.
How to determine when the cost of the two shirt options would be the same?Based on the information provided above, Rhianna's Tees charges a $20 setup fee and then to buy the shirts for $8 each. The total cost, y, can be represented by this equation:
y = 8x + 20 ....equation 1.
where:
x represents the number of shirts.
For the second option, the total cost of the shirt can be represented by this equation:
y = 6x + 30 ....equation 2.
By equating equation 1 and equation 2, we have the following:
8x + 20 = 6x + 30
8x - 6x = 30 - 20
2x = 10
x = 5
Now, we can determine the cost as follows;
y = 8x + 20
y = 8(5) + 20
y = 40 + 20
y = $60.
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Not sure how to do this need it asap thanks <3
The value of the exponential function is g ( x ) = ( 1/4 )ˣ and the graph is plotted
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the equation will be
Substituting the values in the equation , we get
g ( x ) = ( 1/4 )ˣ
when x = 0
g ( 0 ) = ( 1/4 )⁰
g ( 0 ) = 1
Now , when x = 1
Substitute the value of x = 1 in the equation , we get
g ( 1 ) = ( 1/4 )¹
g ( 1 ) = ( 1/4 )
Now , when x = 2
Substitute the value of x = 2 in the equation , we get
g ( 2 ) = ( 1/4 )²
g ( 2 ) = ( 1/16 )
Now , when x = 3
Substitute the value of x = 3 in the equation , we get
g ( 3 ) = ( 1/4 )³
g ( 3 ) = ( 1/64 )
Now , when x = 4
Substitute the value of x = 1 in the equation , we get
g ( 4 ) = ( 1/4 )⁴
g ( 4 ) = ( 1/256 )
Hence , the equation is g ( x ) = ( 1/4 )ˣ and the graph is plotted
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The line representing the equation part of the constraint 7x1 + 4x2 s 28 goes through the following two points a) (4,0) and (7,0). b) (0, 4) and (7,0). c) (4,0) and (0,7). d) (0, 4) and (0,7). e) none of the above
The required line representing the equation part of the constraint is go through (0, 4) and (7,0).
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
According to question:The line representing the equation 7x1 + 4x2 = 28 is a boundary line that separates the feasible solutions from the infeasible solutions in a linear programming problem.
The line passes through two points, which can be determined by substituting the x1 and x2 values into the equation. By substituting the values (4,0) and (7,0) into the equation, we can see that both points satisfy the constraint.
This means that any point on the line also satisfies the constraint, and any point above or to the right of the line would be infeasible as they would not meet the requirement of the constraint.
Understanding the position and shape of the constraint lines is important in solving linear programming problems and finding the optimal solution.
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The formula for the area of a triangle is , where b is the base and h is the height. rearrange the formula to solve for the height (h).
The formula to solve for the height of a given triangle is =h=2A/b
Given the area of a triangle formula = A=1/2×b×h
where , A=area of the triangle.
b=base of the triangle.
h=height of the triangle.
To find the height of the triangle using this formula=
A=1/2×b×h
2A=b×h
h=2A/b
thus,h=2A/b is the formula to solve for the height of a given triangle.
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HELP DUE IN 20 MINNNNNN WILL GIVE CORRECT ANSWER BRAINLIEST
The simplified expression for this problem is given as follows:
9 - 13j/7.
How to simplify the expression?The expression for this problem is defined as follows:
16 + (-4) - 5j/7 - 6j/7 + 7.
The plus sign means that the sign is maintained, hence:
16 + (-4) - 5j/7 - 6j/7 + 7 = 12 - 5j/7 - 6j/7 + 7.
Then we combine the like terms, as follows:
12 + 7 = 9.-5j/7 - 6j/7 = -13j/7.Hence the simplified expression is given as follows:
9 - 13j/7.
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Is this linear or non linear
Answer: No
Step-by-step explanation:
No, because it does not add the same value every time
Answer:
No
Step-by-step explanation:
The left side does add up the same each time (+1) but the right side does not as it adds +2 +2 +4 +8 +16
The dog shelter has Labradors, Terriers, and Golden Retrievers available for adoption. If P(terriers) = 15%, interpret the likelihood of randomly selecting a terrier from the shelter.
Likely
Unlikely
Equally likely and unlikely
This value is not possible to represent probability of a chance event
Answer:
likely
Step-by-step explanation:
The value of 15% does not represent the probability of randomly selecting a terrier from the shelter. Probability is a measure of the likelihood that a certain event will occur, and 15% does not provide enough information to calculate a probability.
I need to know who to do these two problems
The value of the trigonometric function is -
sin(θ) = 21 / 29,
cos(θ) = 20/29,
csc(θ) = 29/21,
sec(θ) = 29/20,
cot(θ) = 20/21.
Given that,What is the trigonometric function?In a nutshell, trigonometric functions, also referred to as circular functions, are the functions of a triangle's angle. This suggests that these trig functions provide the relationship between a triangle's angles and sides. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.
Given that,
tan (θ) = - 21 / 20
We can infer from the value that the triangle's two legs are 21 and 20, respectively.
Using the Pythagorean theorem, we can:
[tex]a^{2} + b^{2} = c^{2}[/tex]
[tex](21)^{2} + (20)^{2} = c^{2}[/tex]
441 + 400 =[tex]c^{2}[/tex]
c = 29
The value of :
sin(θ) = 21 / 29
cos(θ) = 20/29
csc(θ) = 29/21
sec(θ) = 29/20
cot(θ) = 20/21
Hence, the value of the trigonometric function is
sin(θ) = 21 / 29,
cos(θ) = 20/29,
csc(θ) = 29/21,
sec(θ) = 29/20,
cot(θ) = 20/21.
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Richard and Teo have a combined age of 27. Richard is 3 years older than twice Teo's age. How old are Richard and Teo?
Answer: Richard is 22 and Teo is 9
Step-by-step explanation:
Are the triangles similar, if so what postulate can you use to prove similarity? *
Answer:
AA postulate
Step-by-step explanation:
We can prove as:
We have vertically opposite angles, which are equal
Also, we have been given two corresponding equal angles, thus we can prove using AA similarity postulate.
HELP ASAP
A quilter created the following shape to use in a block for a new quilt.
A six-sided figure with a large base of 16 inches. The side to the right of the base is 9 inches. The small side parallel to the base is 6 and two fifths inches. There are two sides that form a point at a right angle. The smaller is 6 inches, and the larger is 7 and one-half inches.
What is the area of the shape for the quilt block?
ninety-four and one half in2
one hundred sixty-six and one half in2
189 in2
333 in2
The total area of the quilt as perceived is 101 square inches
How to determine the total area of the quilt?The six-sided figure is not given, however we can deduce the following parameters from the question:
The shape is made of a triangle and a trapezoid
The side lengths derived from the question are:
The triangle on top:
base: 6 inches and height: 7 inches
The trapezoid at the bottom:
Parallel sides: 16 inches and 9 inches with a height of 6.4 inches
So, we have the total area of the figure to be
Area of figure = 1/2 * 6 * 7 + 1/2 * (16 + 9) * 6.4
Area of figure = 101
Based on the deduced parameters, the total area is 101 square inches
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a store is offering a 20 percent discount on all items. The price of the hat after the discount is 18 dollars what was the original price and how do you find it
Answer: $22.50
Step-by-step explanation
In this case, x is what the original number was in case you didn’t know.
x - (x * 20/100) = 18
x -0.2x=18
0.8x=18
18/0.8=x
X = 22.5