Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans to weigh a rock 20 times and then calculate the average of the 20 measurements to estimate her rock's true weight. A second student plans to weigh a rock 5 times and calculate the average of the 5 measurements to estimate his rock's true weight. Suppose the students construct a 95% confidence interval for the true weight of their rocks. Whose interval do you expect to be more precise (narrower)

Answers

Answer 1

Answer:

The first student, with 20 measurements, will have the more precise interval due to the larger sample size.

Step-by-step explanation:

Margin of error of a confidence interval:

The margin of error of a confidence interval has the following format:

[tex]M = z\frac{s}{\sqrt{n}}[/tex]

In which z is related to the confidence level, s to the standard deviation and n to the sample size.

The margin of error is inversely proportional to the square root of the sample size, which means that a larger sample will lead to a lower margin of error, that is, to a more precise interval.

In this question:

One student will use 5 measurements, other 20. The first student, with 20 measurements, will have the more precise interval due to the larger sample size.


Related Questions

please help it’s my final

Answers

Answer:

-1/2

Step-by-step explanation:

y2-y1/x2-x1 is the formula

-2-(-1)/-6-(-8) = -1/2

Hope this helps.

h(x)=x−4h
What is the domain of h?

Answers

Answer:

h= x/ x+4

Step-by-step explanation:

Move all terms to the left side and set equal to zero, Then set each factor equal to zero.

Enter a decimal that equivalent to 6/100

Answers

Answer:

0.06

Step-by-step explanation:

Help pleasee want asap

Answers

Answer:

I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.

Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)

Answers

Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!

Step-by-step explanation:  

1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5

2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2

3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2

i dont get these questions on math help i give brainliest

Answers

Answer:

here a link to your answer

Step-by-step explanation:

https://brainly.com/question/20419046

plus the answer is b

write an equation with a slope of -1/2 in each form.
point-slope form
slope-intercept form.

Answers

For the case of a line through

(

2

,

7

)

and

(

1

,

4

)

we have

slope

m

=

Δ

y

Δ

x

=

4

7

1

2

=

11

1

=

11

Using the point

(

2

,

7

)

we can write the equation of the line in point slope form as:

y

7

=

m

(

x

2

)

where the slope

m

=

11

.

That is:

y

7

=

11

(

x

2

)

To get point intercept form, first expand the right hand side so...

y

7

=

11

x

(

11

2

)

=

11

x

22

Then add

7

to both sides to get:

y

=

11

x

15

=

11

x

+

(

15

)

This is point intercept (

y

=

m

x

+

c

) form with slope

m

=

11

and intercept

c

=

15

.

The ratio of two radii of two spheres is 15:8. If the surface area of larger sphere is 706.9 mm2, fine the surface area of the smaller sphere.

Answers

Answer:

201.1 mm²

Step-by-step explanation:

Smaller sphere = 8

Larger sphere = 15

Larger sphere surface area = 706.9 mm²

Smaller sphere surface area = x

Hence:

Since we are dealing with surface area

8²/15² = x/ 706.9

Cross Multiply

15² × x = 706.9 × 8²

x = 706.9 × 8²/15²

x = 201.07377778 mm²

x ≈ 201.1 mm²

Therefore, the surface area of the smaller sphere is 201.1 mm²

If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is

Answers

Answer:

10x+ y

Step-by-step explanation:

The unit's digit is y and the ten's digit is x.

The ten's digit has a zero placed beside it .

So multiply x by 10  giving 10 x and then add the unit's digit .

This wil give 10x+ y

The number is 10 x + y

This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.

Multiply 10 by 5 and add 6

5*10 +6= 50+6= 56

Find the circumference of the given circle given a diameter of 40 cm.
Use 3.14 as an approximation of Pi.

Answers

Answer:

c. 125.6

Step-by-step explanation:

Pi= 3.14

r= d/2 = 40/2 = 20

[tex]2\pi \: r[/tex]

= 2 × 3.14 × 20

=125.6

If - 2x + 3 = 7 and 3x + 1 = 5+ y, the value of y is

Answers

Answer:

The value for x is -2 and the value for y is -10 .

Step-by-step explanation:

Firstly , let's write the equations

              -2x+3=7      (   equation 1 )               3x+1 =5+y    (equation 2 )

 

solving equation 1 to get the values of x

          or ,    -2x+3=7          

      or,  -2x+3-3 =7-3 (subtracting -3 on both sides )

       or ,  -2x=4

        or,  -2x/2  =   4/2  (dividing  by two on both sides )

         or ,  -x =2

           or  x = -2

now let's substitute the values of x  in the equation 2

           3x+1 =5+y (writing second equation as it is )

           or, 3x+1-1=5+y-1 (subtracting  -1 on both sides )

            or , 3x = 4+y  

              or , 3 × -2 = 4+y  (substituting the values of x from equation 1 )

                or ,  -6  =  4 +y

                   or ,  -6-4 = 4+y-4 ( subtracting -4 on both sides  )

                     or ,    -10 = y

      Therefore the values of x and y is -2 and  -10 respectively .

                Hope it helped you .  If you find the answer useful  please rate brainliest , If not Thanks anyway .

 

No files!!!
Will give brainliest and please don’t guess

Answers

Answer:

i think its 54. i might be incorrect.

Step-by-step explanation:

Answer:

54º

Step-by-step explanation:

This really cannot be determined because the combined angle is not marked as 90º

let's assume it is 90º

(7x + 12) +(2x + 24) = 90

Combine like terms

9x + 36 = 90

Subtract 36 from both sides

9x = 54

Divide both sides by 9

x = 6

-----------------------

7(6) + 12 = 54º

2(6) + 24 = 36º

54º is the larger angle

how do i find the surface area of the sphere??

Answers

Answer:

98 π R

Step-by-step explanation:

Surface area of sphere = 4 π R²

= 2 π R × 2 R

= 49 π × 2 R

= 98 π R

What is the length of the hypotenuse?

Answers

Answer:

65 cm

Step-by-step explanation:

16^2 x 63^2 = 65^2

The black graph is the graph of y=f(x). Choose the equation for the red graph

Answers

Answer:

a. y= f(x-1)

Step-by-step explanation:

___________

Evaluate 5v + w for v = 4 and w = 16. Show work.

Answers

Answer:

36

Step-by-step explanation:

5(4)+16=20+16=36

HELPP(David saves 12 % of his monthly salary.
If he saves $17.75, what is his monthly
salary?)​

Answers

Answer:

147.92

Step-by-step explanation:

Let the monthly salary be x

He saves 12 % and that is 17.75

x* 12% = 17.75

Change to decimal form

x *.12 = 17.17

Divide each side by .12

x*.12 /.12 = 17.75/.12

x =147.91666666

Rounding to the nearest cent

x = 147.92

Someone please help me ?!?!?

Answers

Answer:

2nd is correct

Step-by-step explanation:

ok now mark me brainlist

A circle of radius 1 is inside a circle of radius 5. The smaller circle is rotated clockwise
on the larger circle without slipping until it arrives back at its starting point P. How
many revolutions (turns) will the small circle make? Be careful. The answer is not 5.





Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...

  PQ = CP·θ

The length of arc P'Q is ...

  P'Q = O₂Q·(∠PO₂Q)

Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.

We are given that ...

  CP = 5, O₂Q = 1

Using the above relations, we can write ...

  5θ = 1(θ+α)

  α = 4θ

That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.

The small circle makes 4 revolutions to arrive at its starting point.

Factorize completely 3ac+6ab-15a​

Answers

Answer:

3a(c + 2b - 5)

Step-by-step explanation:

Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.

So we have 3a(c + 2b - 5) which is our final answer.

please show your work

Answers

Answer:

52

Step-by-step explanation:

If JK bisects the angle, the two angles are equal

6x+2 = 8x-6

Subtract 6x from each side

6x-6x+2 = 8x-6x-6

2 = 2x-6

Add 6 to each side

2+6 =2x-6+6

8 =2x

Divide by 2

8/2 =2x/2

4 =x

Now find angle LJM, which is the sum of the two angles

6x+2 + 8x-6

14x -4

14*4-4

56-4

52

Answer:

D) 52

Step-by-step explanation:

since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other

so

(6x+2)=(8x-6)

-6x         -6x

2=2x-6

+6    +6

8=2x

/2 /2

x=4

no you plug x back into one of the equations so

6(4)+2=26

now 26x2=52

The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability

Answers

Answer:

0.2754

Step-by-step explanation:

Probability of saving a penalty kick = 0.617

p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383

number of trials, n = 7

Number of saves, x = 5

Using the binomial probability relation :

P(x = x) = nCx * p^x * q^(n-x)

P(x = 5) = 7C5 * 0.617^5 * 0.383^2

P(x = 5) = 21 * 0.0894181 * 0.146689

P(x = 5) = 0.2754

hii! i’ll give brainliest pls help

Answers

Answer:

b is correct

Step-by-step explanation:

HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)

Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more

Answers

Slope:  

2

3

y-intercept: (0,−6)xy0−63−4

i’m pretty sure the answer is 3x^2+6

let me know if this doesn’t make sense and i can fix it :)

Use distributive property and then combine like terms to write an equivalent expression for:

4(y2 + 2) + 6x - 2y3 + 12x

Answers

Answer:

−2y3+4y2+18x+8

Step-by-step explanation:

Let's simplify step-by-step.

4(y2+2)+6x−2y3+12x

Distribute:

=(4)(y2)+(4)(2)+6x+−2y3+12x

=4y2+8+6x+−2y3+12x

Combine Like Terms:

=4y2+8+6x+−2y3+12x

=(−2y3)+(4y2)+(6x+12x)+(8)

=−2y3+4y2+18x+8

Arrange the expressions in increasing order of their values.

Answers

Answer:

The 4th one is the least so you would put that as the first one, then the 2nd one, then the 1st one, then the 3rd one.

Step-by-step explanation:

The fourth one is first because 10 to the power of 0 is 0 times 10 to the power of 1 is still 0 minus 1 to the power of 10 is 1 so 0 minus 1 is -1. The second one is second because 10 to the power of 0 times 10 to the power of 1 is 0, times 1 to the power of 10 is still 0. The first one is third in line because 10 to the power of 0 plus 10 to the power of 1 is 10 times 1 to the power of 10 is 10. The third one is last because its the greatist, 10 to the power of 0 plus 10 to the power of 1 is 10 plus 1 to the power of 10 is 11.

Which equation can be used to find A, the area of the parallelogram shown?

A parallelogram with a base six meters, height seven meters, and diagonal side length eleven meters
A = 6 × 7
A = 6 × 11
A = 12 × 6 × 7
A = 12 × 6 × 11

Answers

Answer:

A = 6 x 7

Step-by-step explanation:

To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.

There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?

Answers

Answer:

[tex]\frac{1}{12}[/tex] or 1:12

Step-by-step explanation:

There are 11 teachers : 132 students

Because ratios are just another way of writing fractions, by putting this into a fraction we get:

[tex]\frac{11}{132}[/tex]

Dividing both the numerator and denominator (top and bottom) by 11, we get:

[tex]\frac{1}{12}[/tex]

Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12

A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?​

Answers

Answer:

153.9

Step-by-step explanation:

14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.

Answer:

153.9

Step-by-step explanation:

We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.

Jane is playing basketball. After a series of 20 shots, Jane had scored 55% of the time. Five shots later, her scoring rate had increased to 56%. On how many of the last five shots did she score

(A) 1

(B) 2

(C) 3

(D) 4

(E) 5

Answers

Hopes this helps:

Answer: C. 3
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