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scoundrel [369]
2 years ago
14

A tax preparation firm is interested in comparing the quality of work at two of its regional offices. the observed frequencies s

howing the number of sampled returns with errors and the number of sampled returns that were correct are as follows.
regional office
return office 1 office 2
error 35 28
correct 217 274
Mathematics
1 answer:
Veronika [31]2 years ago
7 0

The sample proportion of returns with errors at the two tax offices will be 0.1389 and 0.0927 respectively.

<h3>How to calculate the sample proportion?</h3>

From the information, the the observed frequencies showing the number of sampled returns with errors and the number of sampled returns were given.

The sample proportion will be:

P1 = 35/(35 + 217)

= 35/252

= 0.1389

P2 = 28/(28 + 274)

= 28/302

= 0.0927

Learn more about sample proportion on:

brainly.com/question/24232216

#SPJ1

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Please help I need u I have a picture to explain
mariarad [96]

Answer:

a10 = 12/7

Step-by-step explanation:

an = a1 + (n-1) d

a10 = 3/7 + ( 10-1) 1/7

a10 = 3/7 + (9) 1/7

a10 = 3/7 + 9/7

a10 = 12/7

3 0
3 years ago
Does 23^-1 (mod 1000) exist? If yes solve it.
sweet [91]

Yes, 23 has an inverse mod 1000 because gcd(23, 1000) = 1 (i.e. they are coprime).

Let <em>x</em> be the inverse. Then <em>x</em> is such that

23<em>x</em> ≡ 1 (mod 1000)

Use the Euclidean algorithm to solve for <em>x</em> :

1000 = 43×23 + 11

23 = 2×11 + 1

→   1 ≡ 23 - 2×11   (mod 1000)

→   1 ≡ 23 - 2×(1000 - 43×23)   (mod 1000)

→   1 ≡ 23 - 2×1000 + 86×23   (mod 1000)

→   1 ≡ 87×23 - 2×1000 ≡ 87×23   (mod 1000)

→   23⁻¹ ≡ 87   (mod 1000)

3 0
3 years ago
Write y=-3/4 x-2 in standard form using integers.
jeyben [28]
Standard form is Ax + By = C

y = (-3/4)x - 2

Multiply both sides by 4.

4y = -3x - 8

Add 3x on both sides

3x + 4y = -8

Your final answer is 3x + 4y = -8.
8 0
2 years ago
What function is shown by the graph below?
Airida [17]

Answer:

The function f(x)=\sqrt{x+2}  is shown by the graph below ⇒ 2nd answer

Step-by-step explanation:

<em>To find the right function chose two points from the graph and substitute the x-coordinate of each point in the function to find the y-coordinate, if they are the same with the corresponding y-coordinates of the points, then the function is shown by the graph</em>

From the figure:

The curve passes through points (-2 , 0) and (2 , 2)

∵  f(x)=\sqrt{x-2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2-2}

∴ f(-2)=\sqrt{-4} ⇒ it is impossible no square root for (-) number

∴ f(x)=\sqrt{x-2} is not the function shown by the graph

∵  f(x)=\sqrt{x+2}

∵ x = -2

- Substitute x by -2

∴ f(-2)=\sqrt{-2+2}

∴ f(-2)=\sqrt{0}

∴ f(-2) = 0 ⇒ same as the y-coordinate of x = -2

∵ x = 2

- Substitute x by 2

∴ f(2)=\sqrt{2+2}

∴ f(2)=\sqrt{4}

∴ f(2) = 2 ⇒ same as the y-coordinate of x = 2

∴ The function f(x)=\sqrt{x+2} is shown by the graph below

7 0
3 years ago
PLEASE HELP ME!! And this is about Unit conversions!!! BUT PLEASE HELP AND EXPLAIN THIS TO ME!!
prisoha [69]
Unit conversions will almost always fall into a division or multiplication problem. In this case we are being asked to convert a smaller unit to a larger one, so it will be a division problem.
The standard metric goes on the bottom of the fraction always, so 10/16 or 10÷16 is the problem.
10÷16= .625 pounds of cheese.
7 0
3 years ago
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