The 80% confidence interval is given as follows:
(10.5, 16.5).
What is a t-distribution confidence interval?The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:
\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)
The variables of the equation are listed as follows:
\(\overline{x}\) is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 13 - 1 = 12 df, is t = 1.311.
The parameters are given as follows:
\(\overline{x} = 13.5, s = 8.2, n = 13\)
The lower bound of the interval is given as follows:
\(13.5 - 1.311 \times \frac{8.2}{\sqrt{13}} = 10.5\)
The upper bound of the interval is given as follows:
\(13.5 + 1.311 \times \frac{8.2}{\sqrt{13}} = 16.5\)
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Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W}, answer the following: len ( I, D, S, A, a) With the given letters above, we can construct a binary search tree (based on alphabetical
ordering) and the sequence < C, D, A, G, M, I, W, T, S, E is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.
The Binary Search Tree is as follows:
E
/ \
S T
/ \
I W
/ \
A M
/ \
C G
\
D
The set of letters is {I, D, S, A, E, T, C, G, M, W} and len (I, D, S, A, a) = 5
Binary Search Tree:The binary search tree based on the alphabetical ordering of the letters is:
post-order sequence is: C, D, A, G, M, I, W, T, S, E.
To draw the binary search tree for the given post-order sequence, follow the steps below:
Start with the root node E and mark itFor the given post-order sequence C, D, A, G, M, I, W, T, S, E, identify the last element E as the root node. This node will be at the center of the drawing.Place the node containing the element S to the left of E, and mark it. Similarly, place the node containing the element T to the right of E, and mark it.Place the node containing the element I to the left of S, and mark it. Similarly, place the node containing the element W to the right of T, and mark it.Place the node containing the element A to the left of I, and mark it. Similarly, place the node containing the element M to the right of W, and mark it.Place the node containing the element C to the left of A, and mark it. Similarly, place the node containing the element G to the right of M, and mark it.Place the node containing the element D to the right of C, and mark it. Similarly, place the node containing the element E to the right of G, and mark it. This completes the construction of the binary search tree.To know more about Binary Search Tree, visit:
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Which equation accurately represents this statement?
Select three options.
Negative 3 less than 4.9 times a number, x, is the same as 12.8.
Negative 3 minus 4.9 x = 12.8
4.9 x minus (negative 3) = 12.8
3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8
12.8 = 4.9 x + 3
The three options that represent the equation of the given word problem are;
B: 4.9x - (-3) = 12.8
C: 3 + 4.9x = 12.8
E: 12.8 = 4.9x + 3
How to solve Inequality problems?The equation we want to represent is given by;
Negative 3 less than 4.9 times a number, x, is the same as 12.8
This can be expressed as;
4.9x - (-3) = 12.8
Now, let us look at the options;
Option A is wrong because 4.9 doesn't have a negative sign but a positive sign.
Option B is correct as that is our exact answer
Option C is correct because when we expand the bracket the sign before 3 is positive.
Option D is not correct because x is to be multiplied by only 4.9
Option E is correct.
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The complete question is;
Which equation accurately represents this statement? Check all that apply.
Negative 3 less than 4.9 times a number, x, is the same as 12.8
A: -3 - 4.9x = 12.8
B: 4.9x - (-3) = 12.8
C: 3 + 4.9x = 12.8
D: (4.9 - 3)x = 12.8
E: 12.8 = 4.9x + 3
29. What is the truth value of (~p V q) Arif p is true, q is false, and r is true?
Answer:
Step-by-step explanation:
~P is true
q is true
~p v q is true
the hypothesis (or antecedent) is true
the conclusion (or consequent) is false
R is false and ~q is false
the conditional says if true then false
so the conditional is false
4.) Jaimee is driving to Pigeon Forge. On her map, it says this is a
distance of 9 1/4 inches away. The scale of the map is 1/2 inch = 75 miles.
How far must Jaimee travel to reach Pigeon Forge?*
Answer: 1387.5 miles
Step-by-step explanation:
hope this helps :)
In a race, 23 out of 50 swimmers finished in less than 43 minutes. What percent of swimmers finished that race in less than 43 minutes?
Please help me on this T_T
Answer:
46%
Step-by-step explanation:
x : 100 = 23 : 50
x = (23 * 100)/50 = 46%
i feel absolutely unintelligent and cannot get past this assignment. all my friends finished school but im not done yet. can someone help me please!
Step-by-step explanation:
Probability of A is 10 + 5 =15
Probability of B is 9 + 5 ( but you already counted the '5')
so just count 9
9+ 15 = 24
this is 24 out of 16 + 10 + 5 + 9 = 40
or 24/40 which reduces to 3/5 or .6 or 60%
Using the equation given:
P(A) + P(B) - P(A and B)
15 + 14 - 5 = 24 this is out of the entire number 40
24/40 = same as above
solve for x pls. help
Answer:
the answer is 82
Step-by-step explanation:
here,
x°+57°+41°=180° ( sum of interior angle of a triangle)
or, x°+ 98°= 180°
or, x°=180°-98°
or, X°=82.
can u give me brailest
Write a function rule for table
Is it a, b, c or d?
Answer:
A
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (2, 5 ) ← 2 ordered pairs from the table
m = \(\frac{5-4}{2-1}\) = \(\frac{1}{1}\) = 1
The line crosses the y- axis at (0, 3 ) → c = 3
y = x + 3 ← equation of line → A
Help meh ill mark you all 4 plz if you can
Answer:
Step-by-step explanation:
5+ 1 7/8 = 6 7/8
3 - 1 3/4 = 1 1/4
7 3/4 + 4 = 11 3/4
4- 2 3/7 = 1 4/7
3x+⅝>4x-½ select from the drop down menus to correctly justify each step.
Step-by-step explanation:
3x-4x>-1/2-5/8
-x>-9/8
x<9/8
Solve for x
Ps: please be ask Descriptive as possible, so I can learn how to do this Thanks!
Evaluate the integrat ∫e 5x
sin(8x)dx. Use C for the constant of integration. Write the exact answer. Do not round. If necessary, use integration by parts more than once.
∫ e5x sin(8x) dx = - (5/89) e5x sin(8x) + (40/89) e5x cos(8x) + C
In order to evaluate the integral ∫e 5x sin(8x) dx, integration by parts is used.Using integration by parts:∫ u dv = uv - ∫ v duLet u = sin(8x) and dv = e5x dx so that du/dx = 8 cos(8x) and v = (1/5) e5x
Therefore the integral becomes:∫ e5x sin(8x) dx = - (1/5)e5x sin(8x) + (8/5) ∫ e5x cos(8x) dx
Applying integration by parts again:∫ u dv = uv - ∫ v duLet u = cos(8x) and dv = e5x dx so that du/dx = -8 sin(8x) and v = (1/5) e5x
Therefore the integral becomes:∫ e5x sin(8x) dx = - (1/5)e5x sin(8x) + (8/5)[(1/5)e5x cos(8x) - (8/5) ∫ e5x sin(8x) dx]
Multiplying the second term by (8/25), it becomes:(64/25) ∫ e5x sin(8x) dx + (8/25)e5x cos(8x)
Therefore:∫ e5x sin(8x) dx + (64/25) ∫ e5x sin(8x) dx = -(1/5)e5x sin(8x) + (8/25) e5x cos(8x)
Rearranging, we get: (89/25) ∫ e5x sin(8x) dx = -(1/5)e5x sin(8x) + (8/25) e5x cos(8x) + C
Dividing both sides by 89/25:∫ e5x sin(8x) dx = - (5/89) e5x sin(8x) + (40/89) e5x cos(8x) + C
The exact answer to the integral is ∫ e5x sin(8x) dx = - (5/89) e5x sin(8x) + (40/89) e5x cos(8x) + C.
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Find the 10th term in the geometric sequence below.
2, -4, 8, -16, ...
A. -1,024
B. 512
C. 1,024
D. 2,048
Answer:
-1024
Step-by-step explanation:
multiply each number by 2
Please help which one isnt a function pleasee
Answer:
the answer is B
Step-by-step explanation:
B is not a function it is a chart
(goin off off what i was told in middle school)
Helppp thank you!!!!!
Answer:
D
Step-by-step explanation:
x is greater than 12:
\(x>12 \text{ or } 12<x\)
and x is less than or equal to 3 times the value of y:
\(12<x\leq 3y\)
We can divide everything by 3:
\(4<\frac{x}{3} \leq y\)
The ratio of ounces of nuts to ounces of raisins is to . In 4 batches of trail mix, the number of ounces of nuts is and the number of ounces of raisins is . The ordered pair (18, 9) means 18 ounces of to 9 ounces of .
Answer:
18
Step-by-step explanation:
i actully dont know but i just want points sorry 4=85 -18+18
Answer:18
Step-by-step explanation:
first-line 6
second-line 3
third-line 6 again :P
fourth-line 3 again :3
fifth-line 6
sixth-line 3
The person who answers these three questions will get the brianlist
Answer: The answer for 1. is B For 2 its c and for 3 its D
also I LOVE MY HERO ACEDAMEIA
Step-by-step explanation:
convert the polar equation to rectangular form and sketch its graph. r = 7 sin()
The polar equation r = 7 sin(θ) converts to rectangular form as x = 7y/2. It has a linear graph.
How to convert polar equation?To convert the polar equation r = 7 sin(θ) to rectangular form, we can use the trigonometric identities sin(θ) = y/r and cos(θ) = x/r. Rearranging the equation, we have r = 7(y/r), which simplifies to\(r^2\) = 7y.
Now, we can convert \(r^2\) = 7y to rectangular form by substituting\(x^2\) + \(y^2\)for \(r^2\). This gives us \(x^2\) +\(y^2\)= 7y, which is the rectangular form of the polar equation.
To sketch the graph, we can rewrite the equation as \(x^2\)+ \((y - 7/2)^2\) = 49/4. This represents a circle with center (0, 7/2) and radius 7/2. The graph will be a circle centered at (0, 7/2) with a radius of 7/2.
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please i need help ASAP it geometry!!
Answer: 12
The answer to your geometry question is 12, I hope this helps.
The sum of the squares of two consecutive even integers is 1684. Find the integers.
The possible values of two consecutive even integers, of which the sum of their squares is 1684, are 28 and 30 for positive integers, while for negative integers, they are -28 and -30.
The difference between two consecutive even integers is 2.
Let the integers be a and (a+2). Then,
a² + (a + 2)² = 1684
a² + a² + 4a + 4 = 1684
2a² + 4a - 1680 = 0
a² + 2a -840 = 0
Hence, we get a quadratic equation.
There are three methods of solving a quadratic equations: by factoring, completing the square, and by using the abc formula.
Use the factoring method:
a² + 2a -840 = (a - 28) (a + 30)
a = 28 and a = -30
Hence, if the integers are positive, they are: 28 and 30.
If the integers are negative, they are -28 and -30.
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what is the square root of -1?
Answer:
It might be weird but i is the answer and I don't know why exactly.
Step-by-step explanation:
I think it's because there is no real number when having a negative square.
Which of the following best describes a negative linear association? A Variables have no relation to each other when plotted. B As one variable increases, so does the other. C A data set that includes both negative and positive numbers. D As one variable decreases, the other increases.
The best description of a negative linear association is option D: "As one variable decreases, the other increases."
In a negative linear association, as the value of one variable increases, the value of the other variable decreases, and this relationship is linear or straight. This can be represented by a negative slope on a scatterplot. Option A ("Variables have no relation to each other when plotted") does not describe any type of association, and option C ("A data set that includes both negative and positive numbers") is not specific to linear associations. Option B ("As one variable increases, so does the other") describes a positive linear association, which is the opposite of a negative linear association.
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I need to show the work. Please help
Answer:
18
Step-by-step explanation:
125 = 7x - 1 ...... because if the two lines are parallel alternate interior angles are congruent
125 + 1 = 7x
126 = 7x
\( \frac{126}{7} = \frac{7x}{7} \)
x = 18
hope it helps
for any question comment me ❤❤
Hurry I'll give brainliest if right!!!
If I is parallel to m, find the value of x and Y
Answer:
x = 16
Step-by-step explanation:
Alternate exerior angles are congruent when the lines are parallel
So, 8x - 14 = 5x + 34
3x = 48
x = 16
write the event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. use the symbols < or > as appropriate to indicate the bounds on y.
The event the student could run a mile in less than 8.27 minutes in terms of the value of the random variable y. The Probability of Y< 6 of 6.68%.
Random Variable:
A random variable is a variable whose value is unknown or a function that assigns a value to each outcome of an experiment. Random variables are often denoted by letters and can be classified as either discrete (variables that have a specific value) or continuous (variables that can take any value in a continuous range).
In probability theory and statistics, random variables can have many values because they are used to quantify the outcome of random events. Random variables must be measurable and are usually real numbers. For example, the letter X can represent the sum of the numbers after rolling three dice. In this case, X can be 3(1 + 1 + 1), 18(6 + 6 + 6), or between 3 and 18. This is because the highest number on the dice is 6 and the lowest number is 1.
Given information.
We have mean 7.11 minutes and standard deviation 0.74 minute.
We have to find the value of z.
Now,
z = (x - μ/ σ)z
= (6 - 7.11/ 0.74) z
≈ -1.50
Now,
The probability of Y < 6
P(Y< 6) = P(Z < -1.50)
= 0.0668
= 6.68%
Complete Question:
Running a mile A study of 12000 able-bodied male students at the University of Illinois found that their times for the mile run were approximately Normal with mean 7.11 minutes and standard deviation 0.74 minute. 7 Choose a student at random from this group and call his time for the mile Y. Find P(Y < 6) . Interpret this value.
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Find the surface area of the rectangular prism
Answer:
82 inches squared
Step-by-step explanation:
7*3*2 = 42
7*2*2 = 28
3*2*2 = 12
42 + 28 + 12 = 82
In ordered pair (x,y) ,x is called
1. antecendent
2. consequent
3. domain
4. range
Answer:
I think X us called consequent
72+((59-5) ÷3^3) x 5 + 13
Answer:
95
Step-by-step explanation:
MRK AS BRAINLIEST!!
Answer:
95
Step-by-step explanation:
Answer this question to get marked as brainliest!!!!
Answer: B, C, and E
Step-by-step explanation:
The values must add up to 180 for it to be a triangle. X and Y especially need to add up to 120.
whats the slope for the following picture
Answer:
It is a positive slope.
The slope is 2 over 4 (2/4) or 1/2.
The equation would be Y= 1/2x + 3.