The degrees of freedom for a sample size of 27 is 26, the alpha or significance level for a 98% confidence level is 0.02, and the t-critical value can be found using the t-table corresponding to a 98% confidence level and 26 degrees of freedom.
To find the degrees of freedom, alpha (significance level), and the t-critical value using the t-table, we need to consider the given information:
n = 27: This represents the sample size, which is 27 in this case.
CL = 98%: CL stands for the confidence level.
It indicates the level of confidence we want to have in our interval estimate.
In this case, the confidence level is 98%.
Degrees of Freedom (df): For a t-distribution, the degrees of freedom depend on the sample size.
Since we have a sample size of 27, the degrees of freedom would be n - 1.
Therefore, the degrees of freedom would be 27 - 1 = 26.
Alpha (α): Alpha, or the significance level, represents the probability of making a Type I error, which is rejecting a true null hypothesis.
The alpha level is determined by subtracting the confidence level from 1. In this case, the alpha level would be 1 - 0.98 = 0.02.
T-Critical Value: To find the t-critical value corresponding to a specific confidence level and degrees of freedom, we can consult the t-table. Since we have a confidence level of 98% and degrees of freedom of 26, we need to find the value that corresponds to the area of 0.01 (half of 1 - 0.98) in the t-distribution table.
The t-critical value would be the value from the table that matches these criteria.
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Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
2.30x10^4 standard notation
What is 3-3×6+2 please?
Answer:
-13Step-by-step explanation:
What is 3-3×6+2 please?
remember PEMDAS
3 - 3 × 6 + 2 = (solve multiplication)
3 - 18 + 2 = (solve addition)
3 - 16 = (solve subtraction)
-13 (result)
Can you please Help me!!
Answer:
C=0.15t
Step-by-step explanation:
It costs 0.15 per text, so if you multiply that by t, (the number of texts you get), you'll get C, (the total cost).
It also says that he does not call anyone, so we do not need to consider that.
Answer:
C = 0.15t
Step-by-step explanation:
Let t = number of texts sent
Let C = total cost
If one text costs $0.15 to send, and Jaden only texts, then the total cost will be:
C = 0.15t
if instead the triangle on the left had the same area as the circle on the right
If the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
If the triangle on the left had the same area as the circle on the right, it would mean that the triangle would have to be larger than its current size. This is because the area of a circle is determined by the formula A=πr^2, where r is the radius of the circle.
Therefore, if the area of the circle is equal to the area of the triangle, the radius of the circle would have to be equal to the height of the triangle, and the base of the triangle would need to be wider.
This would result in a larger triangle with a greater surface area than the current triangle. The larger triangle would also have a longer perimeter, which would make it more difficult to enclose and would require more material to construct.
Additionally, the larger triangle would have a higher center of gravity, which could make it more difficult to balance and more prone to tipping over.
Overall, if the triangle on the left had the same area as the circle on the right, it would require more resources and potentially be more unstable than the current configuration.
It is important to consider both the area and the shape of an object when determining its practicality and effectiveness in a given situation.
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Kamal is buying supplies for a science lab. He needs a piece
of wire 7 feet long. He finds wire for sale at a store that lists the
lengths in inches. How many inches of wire should Kamal buy?
A 19 in.
B
72 in.
74 in.
84 in.
Answer:
kamal needs to buy 84 in of wire.
Step-by-step explanation:
multiply the length value by 12:
if he wants 7 feet, and the store only sells it in inches, then we know what a foot is twelve inches so 12x7=84.
hope this helped! :D <3
Lara grows apples in her orchard and sells them at the weekly farmer's market. Each week, she sells the apples for a different price and records the number of apples sold. The scatter plict below
shows the price of one apple and the number of apples that were sold. A line of best fit for these data points, the equation y=-z+32, is also shown on the plot
Apples Number of Apples Sold
Find the
perimeter of the triangle.
7 in.
(x + 4) in.
(4x
1) in.
Answer:
17
Step-by-step explanation:
Using the base angles theorem, \(x+4=4x+1 \implies x=1\).
So, the perimeter is \(4(1)+1+1+4+7=17\).
18.0 x 9 but with a decimal
If
R
=
{
x
|
x
>
0
}
and
S
=
{
x
|
x
<
3
}
, what is the number of integers in
R
∩
S
?
A. Zero
B. Two
C. Three
D. Four
As per the given data, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
In mathematics, the intersection of two sets is a set containing all elements that are members of both sets.
In symbols, the intersection of two sets A and B is denoted by A ∩ B, and it contains all elements that belong to both A and B.
The intersection of two sets contains only the elements that are present in both sets. In this case,
R ∩ S = {x | x > 0 and x < 3}
The integers that are present in this set are 1 and 2.
Therefore, the number of integers in R ∩ S is 2, and the correct answer is (B) Two.
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Use the information below to complete the problem: p(x) = (1)/(x + 1)
and q(x) = (1)/(x - 1)
Perform the operation and show that it results in another rational expression.
p(x) - q(x)
Given:
The functions are:
\(p(x)=\dfrac{1}{x+1}\)
\(q(x)=\dfrac{1}{x-1}\)
To find:
The rational expression for \(p(x)-q(x)\).
Solution:
We have,
\(p(x)=\dfrac{1}{x+1}\)
\(q(x)=\dfrac{1}{x-1}\)
Now,
\(p(x)-q(x)=\dfrac{1}{x+1}-\dfrac{1}{x-1}\)
\(p(x)-q(x)=\dfrac{(x-1)-(x+1)}{(x+1)(x-1)}\)
\(p(x)-q(x)=\dfrac{x-1-x-1}{x^2-1^2}\) \([\because a^2-b^2=(a-b)(a+b)]\)
\(p(x)-q(x)=\dfrac{-2}{x^2-1}\)
Therefore, the required rational expression for \(p(x)-q(x)\) is \(\dfrac{-2}{x^2-1}\).
Is 1 is a root of f/x Which of the following must be true?
According to Polynomial System, the correct answer is that the roots of f(x) are (x+1).
A polynomial system (sometimes just a polynomial system) is a set of simultaneous equations f₁ = 0,..., fₙ = 0. where fi is a polynomial in multiple variables such as x₁,..., xₙ over the fields. k.
This is due to the zero product property that when two binomials are multiplied by 0, one of their factors must be 0.
A simple example of a system of polynomial equations is
x²+y²- 5 = 0
xy-2 = 0.
Its solutions are the four pairs (x, y) = (1, 2), (2, 1), (-1, -2), (-2, -1). These solutions are easily verified by substitution, but proving that there are no other solutions requires more work.
Based on above description, we can say that:
(x+1) must be 0.
(x+1)=0
x=-1
Thus, If (x-1)=0 then x is 1 instead of -1 in question.
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Brenna has a ribbon that is 6 meters long She cuts it into pieces that measure 2 meters. What fraction of the ribbon is one piece?
Answer:
1/3
Step-by-step explanation:
plz mark brainliest.
One jar of spaghetti sauce is made with 1/4 of a cup of tomatoes. How many full jars of spaghetti sauce can be made with 3 cups of tomatoes?
Answer:
you can make 12 cans of them
a. Will he be able to make a right triangle with his fence? Why or why not?
Joel be not able to make a right triangle with his fence because the given dimensions are not satisfying for Pythagoras theorem.
What is Trigonometry?
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Dimensions of triangle he has to use for fencing are
15 feet, 8 feet, and 20 feet.
For making it a right triangle it must satisfy the "Pythagoras theorem" which states that
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
H²=B²+P²
20²=15²+18²
400=225+64
400≠289
No, it will not be able to make a right triangle.
Hence, Joel will be not able to make a right triangle with his fence because the given dimensions are not satisfying for pythagoras theorem.
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The complete question is given below:
Joel wants to fence off a triangular portion of his yard for his chickens. The three pieces of fencing he has to use are 15 feet, 8 feet, and 20 feet long.
1. Will he be able to make a right triangle out of his fence? Why or why not?
pls answer if wrong reported
Answer: 48
I hope this helps!
A game charges $0.99 for custom skins and a $9.99 membership fee. Write and expression that gives the
total cost in dollars for c number of skins and a membership.
Answer:
y=0.99c+9.99
Step-by-step explanation:
its 0.99 so you got to times it by the number since we have no number we are using the letter c as a substitute then add the membership fee
Answer:
0.99c + 9.99
Step-by-step explanation:
We know one part of the expression is going to be $0.99c, since it's $0.99 per custom skin, and c is the number of custom skins were getting.
Then we must add on the 9.99 on top of that, since that is the one-time membership fee. This is what the equation looks like :
0.99c + 9.99
Hope this helps :)
Please help help help
A motorcycle engine is 600 cubic centimeters (600 cc). If 1 cm3 equals 1 mL of volume, how many liters are in the motorcycle engine? (Note: 1,000 mL = 1 L.)
Answer: motorcycle engine capacity = 0.6 L
Step-by-step explanation:
i did the assignment on edge...it is correct.
Have a great day ya'll!!
Answer:
0.6L
Step-by-step explanation:
did it on edge 2020 chemistry assignment
Is anyone good with Math or History
The probability of passing at least one will be 0.70.
We know that,
Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
here, we have,
Probability of passing history course = 0.59
Probability of passing math course = 0.60
Probability of passing both courses = 0.49
so, we get,
Probability of passing at least one will be
⇒ 0.59 + 0.60 – 0.49
⇒ 0.70
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complete question:
A student is taking two courses, history and math. the probability the student will pass the history course is 0.59, and the probability of passing the math course is 0.60. the probability of passing both is 0.49. what is the probability of passing at least one?
Which expression are equivalent to the expression X minus Y times 5÷8-1÷4 X plus Y
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
We have,
We can simplify the given expression as follows:
(X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y)
= (5X - 5Y) ÷ 8 - 1 ÷ (4X + 4Y)
[distributing the factors]
= (5X - 5Y) /8 - 1/(4X + 4Y)
[finding a common denominator]
= ((5X - 5Y)(4X + 4Y) - 1)/(4X + 4Y)
= (20X² + 20XY - 20XY - 20Y² - 1) / (4X + 4Y)
= (20X² - 20Y² - 1) / (4X + 4Y)
Therefore,
The expression (X - Y) 5 ÷ 8 - 1 ÷ 4 (X + Y) is equivalent to
(20X² - 20Y² - 1) / (4X + 4Y)
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What is x in the equation?
Answer:
x = 15
Step-by-step explanation:
the segment inside the triangle is an angle bisector and divides the side opposite the bisected angle into segments that are proportional to the other two sides, that is
\(\frac{x}{21-x}\) = \(\frac{25}{10}\) ( cross- multiply )
10x = 25(21 - x)
10x = 525 - 25x ( add 25x to both sides )
35x = 525 ( divide both sides by 35 )
x = 15
Find the area and perimeter of the triangle
Answer: 25.2
Step-by-step explanation: hope the is helps :D
WRITE YES IF THE EQUATION IS RIGHT AND NO IF ITS WRONG PLS!
is 0.667 elastic or inelastic?
Answer:
inelastic is the answer
keep safe
an internet service charges 20 dollars to initiate service the companythen charges 0.50 for each day of service complete the table
Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.
Let d be the number of days to find the total charges.
Since the month consists of at most 31 days
The total charges t can be expressed as t = a + b*x, where x > 0 and
x <=31.
We are given that the internet service charges of 20 dollars
We are given that the daily service charges are 0.5 dollars
The days in the month are in the range of 1 to 31 (max).
Note, if x increases by 1 unit, then t is added by b.
Given values: a = $20; b= $0.5
Solution equation:
t = $20 + x*$0.5
What is constant?
A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.
What is variable?
A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.
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Let a denote internet service charges and b denote daily service charge which are constants and x the number of days which is variable.
Let d be the number of days to find the total charges.
Since the month consists of at most 31 days
The total charges t can be expressed as t = a + b*x, where x > 0 and
x <=31.
We are given that the internet service charges of 20 dollars.
We are given that the daily service charges are 0.5 dollars.
The days in the month are in the range of 1 to 31 (max).
Note, if x increases by 1 unit, then t is added by b.
Given values: a = $20; b= $0.5.
Solution equation:
t = $20 + x*$0.5
What is constant?
A constant is a number that stands alone; occasionally, a, b, or c are used to denote a fixed number.
What is variable?
A variable is an alphanumeric character that represents a number or a numerical value; occasionally, x, y, or z are used to denote a variable.
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Elena receives $95 per year in simple interest from three investments totaling $2100 . Part is invested at 3%, part at 4%, and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $
the amount invested at 4% is $
and the amount invested at 5% is $
The amount invested at 3% is $400, the amount invested at 4% is $700, and the amount invested at 5% is $1000.
Let's assume the amount invested at 4% is x dollars.
According to the given information, the amount invested at 5% is $1000 more than the amount invested at 4%.
So, the amount invested at 5% is (x + $1000).
The total amount invested is the sum of the amounts invested at each rate, which is $2100.
Therefore, we can write the equation:
x + (x + $1000) + (amount invested at 3%) = $2100
Now, we can calculate the amount invested at 3%.
We subtract the sum of the amounts invested at 4% and 5% from the total investment:
(amount invested at 3%) = $2100 - (x + x + $1000) = $2100 - (2x + $1000)
Given that Elena receives $95 per year in simple interest from the investments, we can use the formula for simple interest:
Simple Interest = Principal × Interest Rate
The interest earned from the investment at 3% is (amount invested at 3%) × 0.03, the interest earned from the investment at 4% is (amount invested at 4%) × 0.04, and the interest earned from the investment at 5% is (amount invested at 5%) × 0.05.
According to the problem, the total interest earned is $95.
So we can write the equation:
(amount invested at 3%) × 0.03 + (amount invested at 4%) × 0.04 + (amount invested at 5%) × 0.05 = $95
Now we can substitute the expression for (amount invested at 3%) and solve for x.
Once we have the value of x, we can calculate the amounts invested at 3%, 4%, and 5% using the given information.
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help me agaiaiiaiaiaiiaiain im too lazy to answer them
Answer: (C
Step-by-step explanation: To evaluate this, solve by raising 7 to the power of 3.
7 x 7 x 7
7 x 7 = 49 x 7 = 343
Therefore, the answer is C.
Just pleaseeeeeee help me on this
correct answer will be 11 / 48
Olivia measures the heights of two trees and the lengths of their shadows. She notices that the height of each tree and the length of its shadow are directly proportional. One of the trees has a height of 15 m and a 10 m long shadow. The other tree has a 14.4 m long shadow. Calculate its height, in metres (m). Give any decimal answers to 1 d.p. 15 m 10 m ? m 14.4 m
Step-by-step explanation:
directly proportional means
y = kx
with k being a constant factor for all values of x.
we get k by using the given data point (10, 15).
15 = k×10
k = 15/10 = 1.5
so, now for the other tree we know k and x and calculate y
y = 1.5×14.4 = 21.6 m
it is 21.6 m tall (its height is 21.6 m).