The accuracy of a coin-counter machine is gauged to accept nickels with a mean diameter of millimeters 21.21 mm. A sample of 37 nickles was drawn from a reported defective coin-counter machine located near a school. The sample had a sample mean of 21.212 mm and sample standard deviation 0.01 mm.Test the claim that the mean nickel diameter accepted by this coin-counter machine is greater than 21.21 mm. Test at the 0.01 significance level.(a) Identify the correct alternative hypothesis Ha :μ > 21.21 μ < 21.21 μ = 21.21Give all answers correct to 4 decimal places.(b) The test statistic value is:(c) Using the Traditional method, the critical value is:(d) Based on your answers above, do you:Fail to reject H 0 Reject H 0(e) Explain your choice in the box below.(f) Based on your work above, choose one of the following conclusions of your test: There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim The sample data supports the claim(g) Explain your choice in the box below.

Answers

Answer 1

Answer:

μ > 21.21

Test statistic = 1.217

Kindly check explanation for more details

Step-by-step explanation:

The null hypothesis, H0 : μ = 21.21

Alternative hypothesis, H1 : μ > 21.21

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(21.212 - 21.21) ÷ (0.01 / √2)

= 1.217

The critical value :

From the t distribution :, one tailed = 2.434

Decision region :

Reject H0 if test statistic > critical value

1.217 < 2.434 ; We fail to reject the null ` ; and conclude that there is not enough evidence to support the claim.


Related Questions

The degree of the polynomial p(y) =(y-4)^3-y^3 is

Plz urgent ​

Answers

Answer:

The degree of polynomial is 2

Step-by-step explanation:

Given

[tex]p(y) = (y -4)^3 - y^3[/tex]

Required

The degree

When expanded,  [tex]p(y) = (y -4)^3 - y^3[/tex] is:

[tex]p(y) =y^3-12y^2+48y-64-y^3[/tex]

Collect like terms

[tex]p(y) =-12y^2+48y-64-y^3+y^3[/tex]

[tex]p(y) =-12y^2+48y-64[/tex]

The degree of freedom is 2

Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.

Answers

Answer:

Given two linearly independent vectors w and z

We want -w-z

Hence apply a negative gradient to w

w=-<-5,3> =<5,-3>

So <5,-3>-<1,4> = (<5-1>,<-3-4>)

The answer is <4,-7>

Select whether the equation has a solution or not.
- V6x+1 -5 = -7 - 13x+1

Answers

Answer:

no solution

Step-by-step explanation:

no root On this question

who has guathmath here. this is the invitation code. https://s.tutorus.xyz/lp/invite?code=F47XR9​

Answers

Step-by-step explanation:

thank youjjdjdkdkdkdkkdididososiid

Given the Graph, identify the slope​

Answers

Answer: The slope is -5/3 or -1.4

Algebra

[tex]s = \frac{y2 - y1}{x2 - x1} [/tex]

[tex]s = \frac{5}{3} [/tex]

The cost of taking your pet aboard the air flight with you in the continental US varies according to the airlines. The five number summary for prices based on a sample of major US airlines was: Min

Answers

Answer:

Between 100 and 125

Step-by-step explanation:

Given

[tex]Min =60[/tex]

[tex]Q_1 = 100[/tex]

[tex]Median = 110[/tex]

[tex]Q_3 = 125[/tex]

[tex]Max =150[/tex]

Required:

Between which values will the box of the box plot will stretch

All box plots stretches between the lower quartile and the upper quartile.

From the question, we have:

[tex]Q_1 = 100[/tex] ---- lower quartile

[tex]Q_3 = 125[/tex] ---- upper quartile

Hence, the box will stretch between 100 and 125

How do you solve this? Thanks.

Answers

Answer:

Simulateneous equation

Step-by-step explanation:

Have to slove the equation given then plot the graph

Answer:

Graph a line segment with endpoints (1,-8) and (-4,3).

Step-by-step explanation:

Just identity the endpoints of the line segment given, then swap the coordinates for each pair to graph it's inverse.

Original point -> Corresponding inverse point

(a,b) ->(b,a)

(-8,1) ->(1,-8)

(3,-4) ->(-4,3)

So graph the other inverse which is also a line segment using endpoints (1,-8) and (-4,3).

(The inverse graph is just a reflection of the original relation over y=x.)

What is the length of line segment CD?



Enter your answer, as a decimal rounded to the nearest tenth, in the box.

CD =
units
A graph with lines drawn between points A begin ordered pair 1, 3 end ordered pair and B begin ordered pair 4, 3 end ordered pair, points C begin ordered pair -2, 2 end ordered pair and D begin ordered pair 4, -4 end ordered pair, and points E begin ordered pair -7, 0 end ordered pair and F begin ordered pair -2, 4 end ordered pair

Answers

Answer:

Assume you need to find distance CD, between points C(-2, 2), D(4, -4)

Use distance formula:

[tex]CD = \sqrt{(4 + 2)^2+(-4-2)^2} = \sqrt{72} = 6\sqrt{2}[/tex] ≈ 8.5 units

Answer:

C(x1,y1)=(-2, 2), D(4, -4)

D(x2,y2)=(4, -4)

we have

the length of line segment CD

=[tex]\sqrt{(x2-x1)²+(y2-y1)²}\\ \sqrt{(4+2)²+(-4-2)²}=8.48 units[/tex]

Juan plans to use strategies to find 12x380 shows a strategy he could use

Answers

Answer:

3 x 4 x 380

Step-by-step explanation:

The correct strategy that he could use would be

3 x 4 x 380

This is basically splitting up the 12 into two numbers whose product equals 12. This shrinks the numbers and makes it easier to multiply the 380. Since it is easier to multiply 380 by 4 as opposed to 12. This strategy will still give you the same result as 12x380 and both will give you a product of 4,560

I don’t understand stand this can somebody please help me

Answers

Answer:

C

Step-by-step explanation:

The radius is 7, but in the standard form for a circle, the radius is squared which means that the answer is NOT A and B.

So now you have only two choices, C and D both of which have the radius shown as 49 which is 7 squared.

The center is at (5,-1)

that means that x will be written as (x - 5)

And y will be written as (y + 1)

Note: the signs of the center always change to the opposite of what they were.

The answer is (x - 5)^2 + (y  + 1)^2 = 49

Find the equation for the
following parabola.
Vertex (-2,-4)
Focus (-4,-4)
A. (7-4)2 = -8(x-2)
B. (x+4)2 = 8(y+2)
C. (y+4)2 = 8(x+2)
D. (y+4)2 = -8(x+2)

Answers

Answer:

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Step-by-step explanation:

Equation of a parabola:

The equation of a parabola has the following format:

[tex](y - k)^2 = 4p(x-h)[/tex]

In which the center is (h,k) and the focus is (h+p,k).

Vertex (-2,-4)

This means that [tex]h = -2, k = -4[/tex]

So

[tex](y - k)^2 = 4p(x-h)[/tex]

[tex](y - (-4))^2 = 4p(x-(-2))[/tex]

[tex](y+4)^2 = 4p(x+2)[/tex]

Vertex (-2,-4)

Focus (-4,-4)

-4 - (-2) = -4 + 2 = -2

So p = -2 and

[tex](y+4)^2 = 4(-2)(x+2)[/tex]

[tex](y+4)^2 = -8(x+2)[/tex], option D.

Answer:

(y+4)2=−8(x+2) 

The answer would be D.

PLEASE HELP ME!!

Two sides of a right triangle are 8 and 12 in.

a. Find the missing side if these are the lengths of the legs.

b. Find the missing side if these are the lengths of a leg and hypotenuse.

Answers

A) 8^2 + 12^2=c^2
c= 4(13) or 14.42
B) 8^2 + b^2=12^2
b=4(5) or 8.94

it's a. not sure if its B. I'll give branliest!

Answers

Answer:

P is complementary to x

Step-by-step explanation:

Complementary means adding to 90 degrees

P+x = 90 degrees

So P is complementary to x

Answer:

( A) ∠ P

∠P is complementary angle to ∠ X .

Step-by-step explanation:

Sum of two angles of complementary angle is 90° .∠P and ∠X sum of both angles is 90°.So, they are complementary angle.

P + X = 90°

P is complementary to X.

telling time in intervals​

Answers

Answer:

A. 5:12   B. 12:51

Step-by-step explanation:

. Use the smaller hand as the hour hand and the bigger hand to track each minute.

A chessboard is a square that has 8 rows and 8 columns of square spaces. If the side of a square space is 3.25 inches long, what is the area in square inches of the chessboard?

Answers

Answer:

676 square inches

a = L²

It has been established in the question that the length and the width of the chessboard has 8 rows an 8 columns respectively

length = with

rows = columns

8 × 3.25 = 26inches

AREA = L²

A = 26²

A = 676 square inches

The area in square inches of the chessboard given the side length of a square space is 676 inches².

What is the area of the chessboard?

A square is a quadrilateral with four equal sides.

The first step is to determine the area of a square space.

Area = length²

3.25² = 10.56 in²

The second step is to multiply the area of the square space by the number of squares.

8x 8 x 10.56 = 676 inches².

To learn how to determine the area of a square, please check: https://brainly.com/question/9030544

help pls ill give u brainliest

Answers

Step-by-step explanation:

15+3+3=21

21+15=36

36*16= 576

576/2= 288cm^2

Area= B

How I got his:

Area of a trapezium= [tex]\frac{(a+b)*h}{2}[/tex]

Hope this helped!

Answer:

[tex]A=288cm^{2}[/tex]

Step-by-step explanation:

Formula to find area of trapezoid:

[tex]A=\frac{a+b}{2} h[/tex]

Add the values in the formula:

[tex]A=\frac{15+(15+3+3)}{2} (16)[/tex]

[tex]A=\frac{36}{2} (16)[/tex]

[tex]A=18(16)[/tex]

[tex]A=288cm^{2}[/tex]

Hope this helps, have a good day ahead :)

When ringing up a customer, a cashier needs 18 seconds to process payment as well as 1 second to scan each item being purchased. If it takes 20 seconds to ring up a customer, how many items are being purchased?​

Answers

The person is ringing up 1 order

Ahmir is 20 years older than Brynn. In 5 years Ahmir will be 3 times as old as Brynn. What are their current ages?

Ahmir is 20, Brynn is 5.


Ahmir is 60, Brynn is 40.


Ahmir is 25, Brynn is 5.


Ahmir is 5, Brynn is 25.

Answers

Ahmir is 25 and Brynn is 5
You add 5 to each so it becomes 30 and 10 so Ahmir is 3 times older than Brynn

Internet service providers (ISP) need to resolve customer problems as quickly as possible. The probability for a customer call regarding Internet service interruption is resolved within one hour is 70%. During one day, the company had 10 customer calls. (10 marks)
a) What is the probability that exactly four of the customers had their problems solved? (Round your answer to the nearest thousandth).

Answers

Answer: 0.037

Step-by-step explanation:

The probability that exactly four of the customers had their problems solved will be 0.037.

Check attachment for further details. Note that 10!/6!4! = (10×9×8×7×6×5×4×3×2×1)/(6×5×4×3×2×1×4×3×2×1) = 210

Therefore,

= 210 × 0.7⁴ × 0.3^6

= 0.037

SSS SAS ASA or SSA or HL and explain

Answers

Answer:

SSS

Step-by-step explanation:

∆ ABC after reflected over y-axis and then translated by 2 units down ===> ∆A"B"C"

so the size of sides doesnt change

Given vector u = (3, 1) and v = (2,-4), determine the value of v – 4u in
component form.

Answers

Answer:

(-10, -8)

Step-by-step explanation:

4u

Each component of vector u is multiplied by 4. So

u = (3, 1)

4u = (4*3, 4*1) = (12,4).

v – 4u

Subtraction of the components of vector v by the components of the vector 4u. So

v - 4u = (2, -4) - (12, 4) = (2-12, -4 - 4) = (-10, -8)

The value is (-10, -8)

Complete the following
area model.
7)
[Drop Down 1]
5j
3572
10j
3
[Drop Down 2]
[Drop Down 3]

Answers

1. 10j/5j = 2
2. 3*7j = 21j
3. 2*21j = 42j

Does anyone know how to find the mean of one number?
For example, what is the mean of 44?

Answers

Answer:

It's just the number itself, therefore, it's just 44.

Step-by-step explanation:

Finding the mean of many numbers is just adding up all of the values and then dividing the sum by how many numbers there in the list. Since it is just one number and you divide it by the count, which in this case it's 1, it will be the number itself, 44. As there is only one number, this calculation is always the number itself. I hope this helps! Let me know if I am wrong! :D

Help plzzz and no links plz and thank you

Answers

Answer:

It's B, Points a and f. -5 and 5

Tom saves $750 a year. Bill saves $60 a month. How much more does Tom save a year than Bill?

Answers

Answer:

$30

Step-by-step explanation:

T = 750

B = 60(12)

T - B = X

750 - 720 = 30

Answer:

Tom saves 30 more dollars

Step-by-step explanation:

There’s 12 months in a year so

60 x 12 = 720

Tom has 750 so take away 720 that bill makes a year = 30

____ Is the amount of money owed in addition to the original amount

APR
Interest
APY
Principal

Answers

Answer:

APR INTEREST

THANKS ME LATUR

Will give brainiest and extra points if the answer is correct

Answers

Answer:

The range in the average rate of change in temperature of the substance is from a low temperature of [tex]-22^{\circ}[/tex] to a high of [tex]16^{\circ}[/tex].

Step-by-step explanation:

In the sinusoidal function [tex]y=a\sin(b(x-c))+d[/tex], [tex]|a|[/tex] represents the amplitude and [tex]y=d[/tex] represents the equation of the midline.

By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at [tex]y=d-|a|[/tex] and the maximums must occur at [tex]y=d+|a|[/tex].

Thus, the minimum, or low, occurs at [tex]y=-3-|-19|=-3-19=\boxed{-22}[/tex] and the maximum, or high, occurs at [tex]y=-3+|-19|=-3+19=\boxed{16}[/tex].

What transformation is shown below??

Answers

The correct answer is A. Translation

Answer:

translation

Step-by-step explanation:

a translation. a translation is where the figure is moved, but not rotated or reflected.

A group of friends wants to go to the amusement park. They have $304.50 to spend
on parking and admission. Parking is $16.50, and tickets cost $32 per person,
including tax. How many people can go to the amusement park?

Answers

Answer:

9 people can go to the amusement park.

If f (2) is an exponential function where f(-2.5) = 9 and f(7) = 91, then find
the value of f(12), to the nearest hundredth.

Answers

Answer:

[tex]f(12) = 323.02[/tex]

[tex]f(12) = 16.7 * 1.28^{12[/tex]

Step-by-step explanation:

Given

[tex]f(-2.5) = 9[/tex]

[tex]f(7) = 91[/tex]

[tex]f(12) = 16.7 * 1.28^{12[/tex]

Required

[tex]f(12)[/tex]

An exponential function is:

[tex]f(x) = ab^x[/tex]

[tex]f(-2.5) = 9[/tex] implies that:

[tex]9 = ab^{-2.5}[/tex]

[tex]f(7) = 91[/tex] implies that:

[tex]91 = ab^7[/tex]

Divide both equations

[tex]91/9 = ab^7/ab^{-2.5}[/tex]

[tex]91/9 = b^7/b^{-2.5}[/tex]

Apply law of indices

[tex]91/9 = b^{7+2.5}[/tex]

[tex]10.11 = b^{9.5}[/tex]

Take 9,5th root of both sides

[tex]b = 1.28[/tex]

So, we have:

[tex]9 = ab^{-2.5}[/tex]

[tex]9 = a * 1.28^{-2.5}[/tex]

[tex]9 = a * 0.54[/tex]

[tex]a = 9/0.54[/tex]

[tex]a = 16.7[/tex]

f(12) is calculated as:

[tex]f(x) = ab^x[/tex]

[tex]f(12) = 16.7 * 1.28^{12[/tex]

[tex]f(12) = 323.02[/tex]

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