A student wants to estimate the mean bowling score for all bowlers in a particular bowling league. fifty scores are randomly selected from the league with a
sample mean was 186 with a standard deviation of 22. assume normality.
5. construct a 95% confidence interval for the mean score for all bowlers in the league.
(179.75, 192.25
(177.66, 194.34)
(180.78, 191.22)
(163.83, 208.17)
(179.9, 192.1)
Answers
The 95% confidence interval for the mean score for all bowlers in the league is option (E) (179.9, 192.1).
To construct a 95% confidence interval for the mean score for all bowlers in the league, we can use the formula:
CI = X ± z* (σ/√n)
where X is the sample mean, σ is the population standard deviation (unknown), n is the sample size, and z* is the critical value for the desired confidence level (95% in this case).
Since the sample size is 50, we can assume that the population standard deviation is approximately equal to the sample standard deviation, which is 22. The critical value for a 95% confidence interval with a two-tailed test is 1.96.
Substituting the values, we get:
CI = 186 ± 1.96 (22/√50)
= 186 ± 6.44
= (179.56, 192.44)
Therefore, the answer is (B) (177.66, 194.34), which is the closest to the calculated confidence interval.
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Related Questions
Sometimes linear equations are written in forms other than y=mx+b . One common form looks like Ax+By=C .When you see an equation like this, you can find the slope and y-intercept by solving the equation for y, rewriting it into slope-intercept form.Rewrite 6x+2y=6 into slope-intercept form by solving for y.y=______From that we can see that:m=____b=____
Answers
Okay, here we have this:
Considering the provided equation, we are going to rewriting it into slope-intercept form. So we obtain the following:
6x+2y=6
2y=-6x+6
y=(-6x+6)/2
y=-3x+3
Finally we obtain that the equation of the line is slope-intercept form is y=-3x+3. Then replacing in y=mx+b, we have:
y=-3x+3
y=mx+b
Then, m=-3 and b=3.
Help plsss i dont get it
Answers
Part A
The pattern of squares is 1, 4, 9, ... which is the set of perfect squares
1 = 1^24 = 2^29 = 3^2and so on
The 7th figure will have 49 squares because 7^2 = 49
Answer: 49==============================================================
Part B
Each pattern has one circle per corner (4 circles so far). In addition, there's one circle per unit side to form the perimeter.
Pattern 1 has 4+4(1) = 8 circlesPattern 2 has 4+4(2) = 12 circlesPattern 3 has 4+4(3) = 16 circlesThe nth term will have 4+4n circles. The first '4' is the number of circles at the corners. The 4n is the circles along the perimeter. If you wanted, 4+4n factors to 4(1+n).
Plug in n = 20 to find the 20th figure has 4+4n = 4+4(20) = 84 circles
Answer: 84==============================================================
Part C
Pattern 1 has 1 square + 8 circles = 9 items totalPattern 2 has 4 squares + 12 circles = 16 items totalPattern 3 has 9 squares + 16 circles = 25 items totalThis seems to suggest if the pattern number is odd, then we need an odd number of tiles (square + circular).
Let n be the pattern number. Pattern n needs n^2 square tiles and 4+4n = 4n+4 circular tiles. Overall, n^2+4n+4 tiles are needed.
It turns out that if n is odd, then n^2+4n+4 is always odd. The proof is shown below.
Side note: n^2+4n+4 factors to (n+2)^2
Answer: B) will always be odd
One possible integer of x for which 1/4 < k/10 < 1/3 is true?
Answers
Answer:
\(\fbox {x = 3}\)
Step-by-step explanation:
Decimal form of the lower and higher limits :
1/4 = 0.251/3 = 0.33...Hence, the best one which lies in the middle of the limits would be 0.3.
Now, equate the middle part :
x/10 = 0.3x = 3Given the point P(3, 0, -2) and the plane with equation 18.1 (1 mark) 18.2 (1 mark) 18.3 (1 mark) x+4y+5 z=-5 enter the coordinates of a point Q that lies on the plane, below. Q=( You have not attempt
Answers
Given the point P(3, 0, -2) and the plane with equation 18.1, the coordinates of a point Q on the given plane equation are yet to be determined.
To find a point Q that lies on the plane defined by the equation x + 4y + 5z = -5, we need to substitute values for x, y, and z that satisfy the equation. However, you haven't provided any constraints or additional information to determine the specific coordinates of Q.
If you provide additional constraints or specify a condition for Q, such as a relationship with point P or any other criteria, I can help you find the coordinates of a point Q that satisfies those conditions and lies on the given plane.
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Suppose x varies directly with y and x = 17 when y=-85. What is the constant of variation and what is the value of x when y=-160?
Answers
Answer:
Constant of variation: -1/5
x=32
1.F(X) =5x+10 find f (-2)
2.f(x)=-x find f (-6)
3. f(x)=4(5x-1)f(x)=16
Answers
Help plssssssssss? What’s the answerrrr
Answers
Answer:
621200 mg
1.36664 Lb
Step-by-step explanation:
Given;
Cullinan diamond weighed 3106 carats.
1 Carat - 0.2 grams
Question to Answer;
How much does the diamond weigh in milligrams/pounds?
Solve;
Since 1 carat = 0.2 grams
1g = 1000 mg
1g = 0.0022 lb
Thus,
3106 ct = 0.2 * 3106g = 6212g
621.2g = 621.2 * 1000 mg = 621200 mg
621.2g = 621.2 * 0.0022 lb = 1.36664 lb
[RevyBreeze]
Indicate whether each situation involves a combination or permutation. Then solve.How many different three-student study groups can be formed from a class of 15 ?
Answers
There are 455 different three-student study groups that can be formed from a class of 15.
This situation involves determining the number of different three-student study groups that can be formed from a class of 15.
To determine whether this situation involves a combination or permutation, we need to consider if the order of selection matters or not, and if repetitions are allowed.
In this case, we are only concerned with forming study groups, and the order of selection does not matter. Additionally, it is assumed that each student can only be selected once for a study group.
Therefore, this situation involves a combination, specifically a combination of 15 students taken 3 at a time.
The formula to calculate the number of combinations is given by:
\(C(n, r) = n! / (r! * (n - r)!),\)
where n is the total number of items to choose from (in this case, the number of students in the class), and r is the number of items being chosen (in this case, the number of students in each study group).
Substituting the values into the formula:
C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = (15 * 14 * 13) / (3 * 2 * 1) = 455.
Therefore, there are 455 different three-student study groups that can be formed from a class of 15.
In summary, this situation involves a combination, and the number of different three-student study groups that can be formed from a class of 15 is 455.
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evaluate log49 base 1/7
Answers
Answer:
Step-by-step explanation:
Exact Form:
1/2
Decimal Form:
-0.5
Answer:
- 2
Step-by-step explanation:
using the rule of logarithms
\(log_{b}\) x = n ⇒ x = \(b^{n}\)
given
\(log_{\frac{1}{7} }\) 49 = n , then
49 = \((\frac{1}{7}) ^{n}\)
49 = \((7^-1)^{n}\) , that is
7² = \(7^{-n}\)
since bases on both sides are equal then equate exponents
- n = 2 ( multiply both sides by - 1 )
n = - 2
these are from one question. first one is a, second one is b.
Is (1,2,3) the solution to the system 3x-5y+z=-4 x-y+z=2 6x-4y+3z=0
The solution to the system is (2,5,c), what is the value of c? x-y+z=1 2x-3y+2z=-3 3x+y-4z=3
Answers
The augmented matrix is a matrix of coefficients along with the constant terms. In other words, we combine the coefficients and the constant terms into a matrix, as shown below:
a) To determine whether (1, 2, 3) is a systemic solution:
x - y + z = 2 when 3x - 5y + z = -4.
6x - 4y + 3z = 0
We enter each equation with the variables x = 1, y = 2, and z = 3:
Formula 1: 3(1) - 5(2) + 3 = -4 3 - 10 + 3 = -4 => -4 = -4
Equation 2 reads as follows: (1) - (2) + 3 = 2 => 1 - 2 + 3 = 2 => 2 = 2
Equation 3: 6(1) - 4(2) + 3(3) = 0, 6 - 8 + 9 = 0, and 6 - 7 = 0.
(1, 2, 3) is not a solution to the system because the third equation is false.
b) To determine the value of c in the system's solution (2, 5, c):
x - y + z = 1
2x - 3y + 2z = -3
3x + y - 4z = 3
The first equation is changed to read x = 2, y = 5, as follows:
Formula 1: (2) - (5) + z = 1 => -3 + z = 1 => z = 4
Consequently, c has a value of 4.
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The buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338. What percentage is the mark-up?
Answers
The percentage mark-up of the goods is 69 percent.
How to find the percentage mark-up?The mark-up percentage is calculated by subtracting the unit cost from the selling price, dividing by the unit cost and multiplying times 100.
Therefore, the buyer for a chain of stores purchased tables in bulk, paying $200 each. The stores will sell each table for $338.
Hence, the percentage mark-up can be calculated as follows:
percentage mark-up = 338 - 200 / 200 × 100
percentage mark-up = 138 × 100 / 200
percentage mark-up = 13800 / 200
percentage mark-up = 138 / 2
percentage mark-up = 69 %
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THIS IS EASY PLS HELP!! ASAP PLS!!
What is the equation of a line perpendicular to -x+2=y that intersects the line at (-1.5, 3.5)?
A) y = x+2
B) y = x+5
C) y = -x+2
D) y = -x+5
Answers
Answer:
B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I used a graphing calculator
The table shows the running speeds of 10 randomly selected lions
Answers
Step-by-step explanation:
speed (miles per hour) 48, 45, 50, 44, 46, 45, 42, 47, 45, 48. based on the data
The top speed of a lion is 48 miles per hour.
Help yalll I really need help major time
Answers
Answer:
Annalise is correct because the outputs are closest when x = 1.35
Step-by-step explanation:
The solution to the equation 1/(x-1) = x² + 1 means the one x value that will make both sides equal. If we look at the table, notice how when x = 1.35, f(x) values are closest to each other for both equations, signifying that x = 1.35 is approximately the solution. Thus, Annalise is correct.
Which of the following explains why (x + 3) = (x − 6))
has no solution?
Answers
Answer:
The is no number that I can substitue in for x to make the statement true.
Step-by-step explanation:
s + 3 = x -6 Subtract x from both sides
3 = -6 We get a false statement.
What am i missing here...
Image text for clarification
In a large city, the average family spending in dollars for back-to-school shopping of supplies for the 2000, 20002, 20004 and 2006 years is listed in the chart below:
2000 2002 2004 2006
113 142 183 238
What is the average increase in spending per year from the year 2000 to to the year 2002? (142-113)/2
What is the average increase in spending per year from the year 2004 to the year 2006? (238-183)/2
What is the average increase in spending per year from the year 2000 to to the year 2006?
Estimate the instantaneous increase in spending in the year 2004 by taking the average of two average rates of change.
Answers
The average increase in spending per year from:
2000 to 2002 is $14.50.
2004 to 2006 is $27.50.
2000 to 2006 is $20.83.
The estimated instantaneous increase in spending in the year 2004 is $21.75.
The average increase per year = (spending in 2002 - spending in 2000) / (number of years)
= (142 - 113) / 2
= 14.5
The average increase per year = (spending in 2006 - spending in 2004) / (number of years)
= (238 - 183) / 2
= 27.5
To find the average increase in spending per year from the year 2000 to 2006, we first find the total increase in spending over the six-year period:
Total increase = spending in 2006 - spending in 2000
= 238 - 113
= 125
The average increase per year = total increase / (number of years)
= 125 / 6
= 20.83
To estimate the instantaneous increase in spending in the year 2004, we can take the average of the average rates of change between adjacent years:
Instantaneous increase in spending in 2004 = (average increase per year from 2002 to 2004 + average increase per year from 2004 to 2006) / 2
= ( (183-142)/2 + (238-183)/2 ) / 2
= 21.75
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lincoln high school has an enrollment of 3150 students; desert mountain high school has an enrollment of 2475 students. lincoln high is projecting a decrease in enrollment at an average of 75 students per year. desert mountain is projecting an increase in enrollment of 60 students per year. at these projected rates, in how many years will the two schools have an equal number of students enrolled?
Answers
The two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).
The solution involves applying algebraic equation to find the unknown value.
The two high schools, Lincoln High School and Desert Mountain High School, have 3150 and 2475 students enrolled, respectively. Lincoln High School is estimating a decrease in enrollment at an average of 75 students per year. Meanwhile, Desert Mountain High School is expecting an increase of 60 students per year.
At these projected rates, the schools will have an equal number of students enrolled in 21 years.
To calculate the number of years that the two schools will have an equal number of students enrolled, you can use the formula:
L + 75x = D + 60x
Where L is the initial enrollment of Lincoln High School, D is the initial enrollment of Desert Mountain High School, and x is the number of years.
Substituting the given values, we get:
3150 + 75x = 2475 + 60x
Solving for x, we get:
15x = 675
x = 45
Therefore, the two schools will have an equal number of students enrolled in 21 years (3150 + 75(21) = 2475 + 60(21)).
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2 of 8
© What single decimal multiplier would you use to decrease by 2% followed by a
3% decrease?
Answers
What is (gof)(x) if f(x) = 3x - 1 and g(x) = 4x² + 9?
Answers
Step-by-step explanation:
(gof)(x) is basically g(f(x))
= 4 × (3x - 1)² + 9
= 4 × (9x² - 6x + 1) + 9
= 36x² - 24x + 4 + 9
= 36x² - 24x + 13
whats the answer to number 5 please and thank you? please write down the steps
please help
Answers
Answer:
67
Step-by-step explanation:
Answer:
35
Step-by-step explanation:
x + 55 = 90 (Right angle triangle)
x = 90 - 55
x = 35
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A box in the shape of a rectangular prism has a length of 358 inches in width of two 1/2 inches and a height of 4 inches. What is the volume of the box?
Answers
The volume of the box in shape of a rectangular prism is solved to be
716 inches³
What is a rectangular prism?Three-dimensional object with six faces is called a rectangular prism (two at the top and bottom and four are lateral faces).
The prism has rectangular-shaped faces on each side. As a result, there are three sets of matching faces in this picture. Rectangular prisms are sometimes known as cuboids due to their shape.
In the given problem the formula used for volume of prism is
= length * width * height
= 358 * 1/2 * 4
= 716 inches³
The prism has a volume of 716 inches³
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The volume of the rectangular prism with a length of 358 inches, width of 1/2 inches and a height of 4 inches is 716 in³.
What is the volume of the rectangular prism?The volume of a rectangular prism is expressed as;
V = w × h × l
Where w is width, h is height and l is length.
Given that;
Length l = 358 inWidth w = 1/2 inHeight h = 4 inPlug the given values into the above formula and simplify.
V = w × h × l
V = 1/2 in × 4 in × 358 in
V = 716 in³
Therefore, the volume of the box is 716 in³.
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1. What is the definition of function?
Answers
Answer:
a technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. we can write the statement that f is a function from x to y using the function notation F:X~F
Construct a tangent to a circle through a point on the circle using the construction tool. Insert a screenshot of the construction below. Leave all circle and arc markings. (10 points)
Answers
Answer:
Refer to the attachment \(\Huge{\blue{\nearrow}}\)
Step-by-step explanation:
Diagram:-\(\setlength{\unitlength}{1.1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(1,3){6.4}}\put(25,30){\line(1, - 3){6.4}}\put(20,7){\line(3,1){68.5}}\put(20,52.8){\line(3, - 1){68.5}}\put(25,30){\circle*{1}}\put(88,30){\circle*{1.2}}\put(22,30){\sf O}\put(31,6){\sf A}\put(31,52){\sf B}\put(90,28.5){\sf P}\multiput(25,30)(3,0){21}{\line(2,0){1.8}}\qbezier(81.5,32)(78,30)(81,27.5)\qbezier(76,30)(74.5,28)(76,26)\put(33,45){\line(1,3){1.1}}\put(30,45.8){\line(3, - 1){3.2}}\put(30.5,14){\line(3,1){3.2}}\put(33.5,15){\line(1, - 3){1.1}}\put(21,18){\sf 6 cm}\put(73,30.8){\sf 120^\circ$}\put(69,26){\sf 60^\circ$}\end{picture}\)
Note:-View the ans from Web for complete diagram.
Answer:
I hate edge :l
Help ASAP I need help now please and thank youu
Answers
Answer:
( -3, -3)
Step-by-step explanation:
3x - 4y < 16
-4y < -3x + 16
4y > 3x - 16
y > 3/4x - 4
1st choice:
-1 > 3/4(4) - 4
-1 > 3 - 4
-1 > -1 ❌
2nd choice:
-4 > 3/4(0) - 4
-4 > 0 - 4
-4 > -4 ❌
3rd choice:
-3 > 3/4(-3) - 4
-3 > -9/4 - 4
-3 > -6.25 ✅
4th choice:
-3 > 3/4(2) - 4
-3 > 3/2 - 4
-3 > -2.5 ❌
Which quadratic equation is equivalent to (x – 4)2 – (x – 4) – 6 = 0?
(u – 4)2 – (u – 4) – 6 = 0 where u = (x – 4)
u2 – (u – 4) – 6 = 0 where u = (x – 4)
u2 – 16 – u – 6 = 0 where u = (x – 4)
u2 – u – 6 = 0 where u = (x – 4)
Answers
Answer:
see below.
Step-by-step explanation:
letting u = x - 4 means the equation can now be expressed as a quadratic
u² - u - 6 = 0 ← quadratic equation in u
Answer: (D)
Step-by-step explanation:
ADJACENT AND VERTICAL ANGLES Tell whether the angles
are adjacent, vertical, or neither. Explain.
13.
14.
95°
60°
70°
60°
Answers
The angles 95° and 60° are neither adjacent nor vertical angles.
The angles 70° and 60° are adjacent angles.
The angles 95° and 60° are neither adjacent nor vertical angles. Adjacent angles are angles that share a common vertex and a common side. Vertical angles are a pair of non-adjacent angles formed by two intersecting lines. In this case, the angles 95° and 60° do not meet the criteria for being adjacent or vertical angles as they do not share a common vertex or a common side, nor are they formed by intersecting lines.
The angles 70° and 60° are adjacent angles. Adjacent angles are angles that share a common vertex and a common side. In this case, the angles 70° and 60° share the common vertex at the point where the sides intersect and also share the common side formed by the intersection of the lines. Therefore, the angles 70° and 60° are adjacent angles.
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Lines m and n are parallel. What is Measure of angle 2?
Answers
Answer:
67
Step-by-step explanation:
Let's visit to the available website and search the Current population of Nepal and write the population in numerals .Express the population in words in Nepali as well as International system.
Answers
The current population of Nepal is 30,049,858.
नेपालको हालको जनसंख्या लगभग ३ करोड ४९ लाख ८५ हजार ८५८ हो।
What is the current population of Nepal in numerals and words?A population is the complete set group of individuals whether that group comprises a nation or a group of people with a common characteristic.
As of now, the population of Nepal is estimated to be around 30,049,858. In Nepali, this is expressed as "तिहाइ करोड उनन्सठ लाख पचास हजार आठ सय अठासी" (Tihai karoḍ unnaṣaṭh lākh pacās hajār āṭh saya aṭhāsī). In the international system, it is written as "30,049,858."
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The production function of Tom's firm is given by qt=F(Lt,Kt)=79Lt0.3Kt0.7 and the production function of Dana's firm is given by qd=F(Ld,Kd)=47 Ld0.8 Kd0.3 where q denotes the output amount produced by the firm of person i and Li and Ki denote the amount of labour and capital used by the firm of person i,i=t (for "Tom"), d (for "Dana"). firm uses the larger capital-to-labour ratio. Then enter below the value of z, where z is given by z=LdKdLtKt
Answers
The value of z is determined by capital-to-labor ratio and it is greater than 1.
The value of z is determined by the capital-to-labor ratio of each firm, specifically the ratio between the capital used (K) and the labor employed (L). To find the value of z, we need to compare the capital-to-labor ratios of Tom's firm (Kt/Lt) and Dana's firm (Kd/Ld).
Comparing the production functions, we can see that Tom's firm has a capital exponent of 0.7, while Dana's firm has a capital exponent of 0.3. Similarly, Tom's firm has a labor exponent of 0.3, while Dana's firm has a labor exponent of 0.8.
Since the capital exponent in Tom's firm (0.7) is greater than the capital exponent in Dana's firm (0.3), Tom's firm has a larger capital-to-labor ratio. This implies that Tom's firm uses relatively more capital compared to labor in the production process.
Therefore, z, which represents the ratio of Dana's firm's capital-to-labor ratio to Tom's firm's capital-to-labor ratio, will be less than 1. This means that Dana's firm uses relatively less capital compared to labor.
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The GCF of 84 and a number is 12. Which of the following could be the number?
16
24
80
42
Answers
Answer:
24
Step-by-step explanation:
The GCF is the greatest common factor. A factor is a number that may be multiplied by another to get the desired number. The GCF is the largest number that is a factor of both numbers. So, to find the answer to this problem, find the other number that has a factor of 12. The only answer choice that has 12 as a factor is 24.