The football coach randomly selected 10 players and timed how long each player took to perform a certain drill. The result has a sample mean of 9.48 minutes and sample standard deviation of 2.14 minutes. Round answers to two decimals. The 95% confidence interval for the mean time for all players is : __________

Answers

Answer 1

Answer:

The 95% confidence interval for the mean time for all players, in minutes, is: (7.95, 11.01).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom,which is the sample size subtracted by 1. So

df = 10 - 1 = 9

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 9 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.2622.

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.2622\frac{2.14}{\sqrt{10}} = 1.53[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 9.48 - 1.53 = 7.95 minutes.

The upper end of the interval is the sample mean added to M. So it is 9.48 + 1.53 = 11.01 minutes.

The 95% confidence interval for the mean time for all players, in minutes, is: (7.95, 11.01).


Related Questions

trig..experts...help! Will give brainly!

Answers

Answer:

Step-by-step explanation:

189² = 215² + 123² - 2(215)(123)cos x°

35,721 = 46,225 + 15,129 - 52,890 cos x°

35,721 = 61,354 - 52,890 cos x°

52,890 (cos x° ) = 25,633

cos x° = 25,633 ÷ 52,890 ≈ 0.4846

x° ≈ 61.01°

PLEASE HELP

-1/2m=-9

Show your work in details if you can, I have a hard time understanding this.

Answers

[tex] \begin{cases} \\ \large\bf{\green{ \implies}} \tt \: - \: \frac{1}{2} \: m \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - \frac{1 \: m}{2} \: = \: - 9 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 9 \: \times \: 2 \\ \\ \large\bf{\green{ \implies}} \tt \: - 1m \: = \: - 18 \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{ \cancel- 18}{ \cancel - 1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: \frac{18}{1} \\ \\ \large\bf{\green{ \implies}} \tt \: m \: = \: 18 \: \\ \end{cases}[/tex]

find the quadratic equations whose roots are 3 and -4

Answers

Answer:

Hello,

Step-by-step explanation:

(x-3)*(x+4)=0 or x²+x-12=0

Answer:

Step-by-step explanation:

[tex]\displyastyle \Large \boldsymbol{} (x-x_1)(x-x_2) \ \ x_1 \ ; \ x_2 -roots \\\\(x-3)(x-(-4))=(x-3)(x+4)=\boxed{x^2+x-12}[/tex]

solve the inequality y-6>/2y-4

Answers

Answer:

Step-by-step explanation:

Let's solve your inequality step-by-step.

y - 6 > 2y - 4

y - 2y > -4 + 6

-y > 2

now divide by -1 and inequality sign changes

-y/-1 < 2/-1

y < -2

How many terms of the series 2 + 5 + 8 + … must be taken if their sum is 155

Answers

9514 1404 393

Answer:

  10

Step-by-step explanation:

The sum of terms of an arithmetic series is ...

  Sn = (2a +d(n -1))·n/2 = (2an +dn^2 -dn)/2

For the series with first term 2 and common difference 3, the sum is 155 for n terms, where ...

  155 = (3n^2 +n(2·2 -3))/2

Multiplying by 2, we have ...

  3n^2 +n -310 = 0 . . . . . arranged in standard form

Using the quadratic formula, the positive solution is ...

  n = (-1 +√(1 -4(3)(-310)))/(2(3)) = (-1 +√3721)/6 = (61 -1)/6 = 10

10 terms of the series will have a sum of 155.

Answer: 10 terms

Step-by-step explanation:

[tex]\displaystyle \ \Large \boldsymbol{} S_n=\frac{2a_1+d(n-1)}{2} \cdot n =155 \\\\ \frac{4+3(n-1)}{2} \cdot n =155 \\\\\\ 4n+3n^2-3n=310 \\\\ 3n^2+n-310=0 \\\\D=1+3720=3721=61^2\\\\n_1=\frac{61-1}{6} =\boxed{10} \\\\\\n_2=\frac{-61-1}{3} \ \ \o[/tex]

6. 5x = -25
a. X= 5
b. X=-5
c. x=2

Answers

Answer:

x = -5

Step-by-step explanation:

5x = -25

Divide each side by 5

5x/5 = -25/5

x = -5

Answer:

[tex]Option\ B,\ x = -5[/tex]

Step-by-step explanation:

Step 1:  Divide both sides by 5

[tex]5x = -25[/tex]

[tex]5x / 5 = -25 / 5[/tex]

[tex]x = -25/5[/tex]

[tex]x = -5[/tex]

Answer:  [tex]Option\ B,\ x = -5[/tex]

SI unit of areaWhat is the SI unit of area ​

Answers

square meter is the SI unit of area.

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A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final length is 5.10295 ft . The final side length is 2.69953 in . What is Poisson's ratio for the material

Answers

Answer:

The Poisson's ratio for the material is 0.0134.

Step-by-step explanation:

The Poisson's ratio ([tex]\nu[/tex]), no unit, is the ratio of transversal strain ([tex]\epsilon_{t}[/tex]), in inches, to axial strain ([tex]\epsilon_{a}[/tex]), in inches:

[tex]\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}[/tex] (1)

[tex]\epsilon_{a} = l_{a,f}-l_{a,o}[/tex] (2)

[tex]\epsilon_{t} = l_{t,f}-l_{t,o}[/tex] (3)

Where:

[tex]l_{a,o}[/tex] - Initial axial length, in inches.

[tex]l_{a,f}[/tex] - Final axial length, in inches.

[tex]l_{t,o}[/tex] - Initial transversal length, in inches.

[tex]l_{t,f}[/tex] - Final transversal length, in inches.

If we know that [tex]l_{a,o} = 61.2\,in[/tex], [tex]l_{a,f} = 61.235\,in[/tex], [tex]l_{t,o} = 2.7\,in[/tex] and [tex]l_{t,f} = 2.69953\,in[/tex], then the Poisson's ratio is:

[tex]\epsilon_{a} = 61.235\,in - 61.2\,in[/tex]

[tex]\epsilon_{a} = 0.035\,in[/tex]

[tex]\epsilon_{t} = 2.69953\,in - 2.7\,in[/tex]

[tex]\epsilon_{t} = -4.7\times 10^{-4}\,in[/tex]

[tex]\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}[/tex]

[tex]\nu = 0.0134[/tex]

The Poisson's ratio for the material is 0.0134.

find each measurement indicated round your answers to the nearest tenth. Part 1d. NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!!

Answers

Answer:

see explanation

Step-by-step explanation:

Using the Sine rule in all 3 questions

(1)

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values , firstly calculating ∠ B

[ ∠ B = 180° - (78 + 49)° = 180° - 127° = 53° ]

[tex]\frac{a}{sin78}[/tex] = [tex]\frac{18}{sin53}[/tex] ( cross- multiply )

a sin53° = 18 sin78° ( divide both sides by sin53° )

a = [tex]\frac{18sin78}{sin53}[/tex] ≈ 22.0 ( to the nearest tenth )

(3)

[tex]\frac{c}{sinC}[/tex] = [tex]\frac{a}{sinA}[/tex] , substitute values

[tex]\frac{35}{sinC}[/tex] = [tex]\frac{45}{sin134}[/tex] ( cross- multiply )

45 sinC = 35 sin134° ( divide both sides by 35 )

sinC = [tex]\frac{35sin134}{45}[/tex] , then

∠ C = [tex]sin^{-1}[/tex] ( [tex]\frac{35sin134}{45}[/tex] ) ≈ 34.0° ( to the nearest tenth )

(5)

Calculate the measure of ∠ B

∠ B = 180° - (38 + 92)° = 180° - 130° = 50°

[tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] , substitute values

[tex]\frac{BC}{sin38}[/tex] = [tex]\frac{10}{sin50}[/tex] ( cross- multiply )

BC sin50° = 10 sin38° ( divide both sides by sin50° )

BC = [tex]\frac{10sin38}{sin50}[/tex] ≈ 8.0 ( to the nearest tenth )

What is the surface area of this figure in square centimeters?

A.96
B.75
C.84
D.60

Answers

9514 1404 393

Answer:

  A.  96

Step-by-step explanation:

The surface area is the sum of the areas of the two triangular bases and the areas of the three rectangular lateral faces.

  A = 2(1/2)bh + PH

where b is the base of the triangle, h is its height, P is the perimeter of the triangle, and H is the height of the prism.

  A = (3 cm)(4 cm) +(3 +4 +5 cm)(7 cm) = 12 cm² +84 cm²

  A = 96 cm²

The surface area of the triangular prism is 96 square cm.

Rs 600 will gave Rs 90 simple interest at 5 % per annum. ​

Answers

Step-by-step explanation:

interest=90

principal=600

rate=5%

time = I × 100/p×r

= 90×100/600×5

= 3 years.

i will give brainliest help please

Answers

Answer:

SA = 52 square meters

Step-by-step explanation:

First, the equation I'll be using for this problem is SA=2(wl+hl+hw)! Our width is 4m, our length is 3m, and our height is 2m. To begin to solve this problem we are going to input these values in to the equation above.

SA = 2(4 × 3 + 2 × 3 + 2 × 4)

Next, we are going to multiply our values inside the parenthesis based on the PEMDAS strategy (if you have any questions about this, feel free to ask below :).

SA = 2(12 + 6 + 8)

Now, we can add our values inside the parenthesis.

SA = 2(26)

Finally, all we have to do is distribute the 2 outside of the parenthesis to inside the parenthesis.

SA = 52 square meters

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

The president of the student council wants to survey the student population about parking. She decides to take a random sample of 100 of the 1,020 students at the school. Which of the following correctly labels the population?


1–1020

01–1020

001–1020

0001–1020

I think its (B), 01-1020.

Answers

Answer:

Should be (B)

01-1020

ED2021

The correct label for the population is 1 - 1020,

Option A is the correct answer.

What is random sampling?

It is the way of choosing a number of required items from a number of population given.

Each items has an equal probability of being chosen.

We have,

The population in this case refers to the entire group of interest, which is the entire student body of the school.

The total number of students is 1,020.

The population is usually labeled with a range or interval that includes all the possible values of the variable of interest.

In this case, the variable of interest is whether or not a student has an opinion on parking.

The correct label for the population is 1-1020, as this range includes all possible student identification numbers at the school.

The other options (01-1020, 001-1020, and 0001-1020) are not correct because they suggest that there are leading zeros in the student identification numbers, which is not usually the case.

Thus,

The correct label for the population is 1-1020,

Learn more about random sampling here:

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The area between z=.34 and z=1.93

Answers

Answer:

34.013%

0.36693 - 0.0268 = 0.34013

Step-by-step explanation:

z=.34 and z=1.93

0.34  0.36693

1.93           0.0268

Four people share a taxi to the airport the fare was $36 and they gave the driver a tip equal to 25% of the fair. If they equally share the cost of the fair tip, how How much did each person pay?

Answers

Answer:

$11.25

Step-by-step explanation:

Total money given to the taxi driver=36+25% of 36=45

Each person will pay (45/4)=11.25

I need help to fine the statement that is true

Answers

Answer:

option A

Step-by-step explanation:

wx and zy making 90 angle with each other therefore they are perpendicular.

wx and ab making 0 angle with each other therefore they are parallel

Louise has a hard time keeping her workspace clean at her job. She tries, but it just ends up getting messy again. Which of the following is a likely outcome of her consistent messiness? O a) She will have fewer safety issues. b) She will feel more productive. c) Customers will think she is very busy. O d) She will have a hard time focusing.

Answers

Option C

Customers will think she is very busy

A messy desk indicates that the person is very busy.

Must click thanks and mark brainliest

What lines are parallel?

Answers

Answer:

Parallel lines are lines that never intersect or touch

No image? No help. Sorry if this doesn’t help

Which equation is represented by the graph?

Answers

Answer:

I don't knowledge bro sorry

One number is eight less than a second number. Five times the first is 6 more than 6 times the second. Find the numbers.
The value of the first number is -

Answers

Answer:

-42/11

Step-by-step explanation:

x = y - 8

5x = 6 - 6y

So now solve the system of equations, divide everything in the second equation by 5 to get it to x = 6/5 - 6y/5

Now...

x = y - 8

x = 6/5 - 6y/5

Now substitute first equation into the second and x is gonna be -42/11 or the first number

A geometric sequence is a sequence of numbers where the next term equals to

the previous term multiplied by a common factor (for example, (3, 6, 12, 24, ...)

is a geometric sequence with the first term ”3” and the common factor ”2”). If

the 5th term of a geometric sequence is 24 and the 7th term is 144, what is the

first term of the sequence?

(A) 2

(B) 3/2

(C) 2/3

(D) 1/3

(E) 1/4

Answers

Answer:

C

Step-by-step explanation:

Let the first term be a and the common ratio be r.

ATQ, ar^4=24 and ar^6=144, r=sqrt(6) and a=24/(sqrt(6))^2=24/36=2/3

Which expression is equivalent to (3 squared) Superscript negative 2?

Answers

Answer:

–81

Step-by-step explanation:

Question 20 plz show ALL STEPS and hurry PLEASE

Answers

Answer:

(a) You will get ten

Step-by-step explanation:

single cell = 3 min

30 min = ?

30 divided by 10 = 3

Have a good day!

ASAP ITS TIMED
What is the following sum? Assume x20 and 20.
W x ² + 2 / x 374 + xy ſy
0 x ²7² ſy- 2xy?
0 2xy ſy + 2xy ² x
0 4xy dx
o 2xyxy
وی در مورد

Answers

Answer:

The right answer is the 2nd one

hope it will help :)

The given sum is option B. 2xy√y + 2xy²√x.

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression of sum is,

√(x²y³) + 2√(x³y⁴) + xy √y

We have to find the sum.

√(x²y³) = √x² √y³ = x√y³ = x√(y²)√y = xy√y

Now,

2√(x³y⁴) = 2[√x² √x √(y²)²] = 2x√x y² = 2xy²√x

Substituting these,

√(x²y³) + 2√(x³y⁴) + xy √y = xy√y + 2xy²√x + xy √y

                                          = 2xy√y + 2xy²√x

Hence the equivalent sum is 2xy√y + 2xy²√x.

Learn more about Expressions sum here :

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Julie needs to cut 4 pieces of yarn, each with the same length, and a piece of yarn 7.75 inches long. let x represent the length of each of the equal pieces of yarn that julie decides to cut. what is the equation that can be used to determine the total length of all the yarn that she ends up cutting, y? is the graph of the equation continuous or discrete?

Answers

Answer:

The answer is below

Step-by-step explanation:

Let x represent the length of each of the equal piece of yarn. Since they are 4 equal pieces of yarn, then the total length of the equal pieces of yarn = 4x.

Also, besides cutting the 4 equal pieces of yarn Julie further cuts a yarn 7.75 inches long, therefore if y represent the total length of all the yarn that she ends up cutting, hence:

y = 4x + 7.75

Since the graph produced by this equation have all points connected to each other, hence this is a continuous graph.

If p is true and ~ q is false, then p ~ q is _____ false.
a. sometimes
b. always
c. never

Answers

Vas happenin
Hope you having a good day
I think it’s A
Hope this help *smiles*

2/5 = 6/ = 10/30 = 14/


Please tell asap

Answers

Answer:

6/15.

14/42.

Step-by-step explanation:

2/5 = 6/x

Cross multiply:

2x = 5*6

x = 15

Similarly:

10/30 = 14/x

10x = 30*14

x = 420/10

x = 42.

Find the unit rate.
1/3 kilometer in 1/3hour

Answers

Answer:

1 kilometer in 1 hour

Step-by-step explanation:

unit rate is km(kilometer) per hour(hr)

1/3 km = 1/3 hr

multiply both sides by 3

1 km in 1 hour

Please help! Thank you!!!!!

Answers

9514 1404 393

Answer:

f(x) = x² -3g(x) = 6x +7h(x) = 3^x

Step-by-step explanation:

f(x) is copied from the problem statement.

g(x) is a symbolic representation of the English wording, using x to represent "a number."

h(x) is the exponential function that corresponds to the geometric sequence in the table. It has a common ratio of 3, and a multiplier of 1 at x=0.

What is the equation of a line that passes through the point (8,-2) and is parallel to the line whose equation is 3x+4y=15?

Answers

Answer:

y = -3x/4 + 4

Step-by-step explanation:

slope m = -3/4

-2=(-3/4)×8+b

or, b = 4

y = mx + b

y = -3x/4 + 4

Answered by GAUTHMATH

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