A study conducted several years ago reported that 24 percent of public accountants changed companies within 5 years. The American Institute of CPAs would like to update the study. They would like to estimate the population proportion of public accountants who changed companies within 5 years with a margin of error of 5% and a 95% level of confidence. (Use t Distribution Table & z Distribution Table.) (Round your z-value to 2 decimals. Round up your answers to the next whole number.)

Required:

a. To update this study, the files of how many public accountants should be studied?
b. How many public accountants should be contacted if no previous estimates of the population proportion are available?

Answer:

D

Step-by-step explanation:

1 1/5 = 6/5. 6/5 x 8/8 = 48/40.

2 1/8 = 17/8. 17/8 x 5 = 85/40

:)

Answer:

D)  [tex]\frac{48}{40} + \frac{85}{40}[/tex]

Step-by-step explanation:

[tex]1 \frac{1}{5} =5*1+1= 5+1 =6[/tex]

[tex]\frac{6}{5}[/tex]

[tex]2\frac{1}{8}=8*2+1=16+1 = 17[/tex]

[tex]\frac{17}{8}[/tex]

5 and 8 have a common multiple of 40

[tex]\frac{6}{5}[/tex] + [tex]\frac{17}{8}[/tex] = [tex]\frac{48}{40} + \frac{85}{40}[/tex]

Hope this helps!

Answer:

31.42cm

Step-by-step explanation:

Answer. We know that C = πd. Since the diameter is 10cm, we know that C = π x 10cm = 31.42cm (to 2 decimal places).

okay put heat on the left

Step-by-step explanation:

Answer:

The heat is rising is progressive tense.

The steak was cooking nicely is perfect tense.

A day at the mall will be boring is progressive tense.

Ed will have finished by now is perfect tense.

I have weeded the garden is perfect tense.

Eva had read that mystery novel is perfect tense.

Step-by-step explanation:

The progressive tenses are used to indicate an unfinished action.  The perfect tenses describe a finished action, beginning in the past.

Answer:

SIMPLE INTEREST=PRT/100

P=300

R=5%

T=3

SI=300×5×3/100

SI=3×5×3

SI=45

Answer:

Principal(P) = R300 rate( r )=5% n=5 years

Total amount

= P(1+r/100)^n

= 300(1+5/100)^3

=R347. 2875

Interest

= Total amount - Principal amount

= 347.2875 - 300

= R47.2875

= R47.30( rounded up to 2

decimal places)

Answer:

1 angle in straight line add up to 180

Step-by-step explanation:

for example 2x +3x+3x+7=180 the put like term together trust me

Answer:

i dont know that try looking it up

Step-by-step explanation:

there are different ways you could do it using the elimination and substitution method.

hope this helps you!

-s.

Answer:

x = 1 and y = -28

(1,-28)

Elimination & Substitution method

8x + 4y = -104 →multiply by 1

4x + y = - 24 →multiply by 4

8x + 4y = -104

16x + 4y = -96

____________-

-8x = -8

x = -8/-8

[tex] \boxed{x = 1}[/tex]

Substitute x

4x + y = -24

4(1) + y = -24

4 + y = -24

y = -24 - 4

[tex] \boxed{y = - 28}[/tex]

Answer:

Answer A is correct

Step-by-step explanation:

√x - 4 = -2

√x = -2 + 4

√x = +2

x = 2²

x = 2 × 2

x = 4

 Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

Caleb and Devon each bowled for [tex]10[/tex] hours and spent [tex]\$55[/tex].

Step-by-step explanation:

Equations:

Where:

System of equations:

[tex]\begin{cases}y=4x+15\\y=5x+5\end{cases}[/tex]

Solve for x

Step 1: Substitute the second equation into the first.

[tex]\implies 4x+15=5x+5[/tex]

Step 2: Subtract [tex]5x[/tex] from both sides

[tex]\implies 4x-5x+15=5x-5x+5[/tex]

[tex]\implies -x+15=5[/tex]

Step 3: Subtract [tex]15[/tex] from both sides.

[tex]\implies -x+15-15=5-15[/tex]

[tex]\implies -1x=-10[/tex]

Step 4: Divide both sides by [tex]-1[/tex] .

[tex]\implies \dfrac{-1x}{-1}=\dfrac{-10}{-1}[/tex]

[tex]\implies \boxed{x=10}[/tex]

Solve for y

Step 1: Substitute the found [tex]x[/tex] value into one of the system of equations.

[tex]\implies y=4(10)+15[/tex]

Step 2: Multiply and add.

[tex]\implies y=40+15[/tex]

[tex]\implies \boxed{y=55}[/tex]

Therefore, Caleb and Devon each bowled for 10 hours and spent $55.

Answer:

A is true. (3/5)³ has base 3/5

C is true. (3/5)³ has exponent 3.

D is true. (3/5)³ = 3/5 × 3/5 × 3/5.

G is true. (3/5)³ = 3/5 × 3/5 × 3/5 = 27/125

Answer:

12,746

Step-by-step explanation:

To find this answer, we need to divide by 8

Since we know that South Dakota sells 8X less than Michigan, we have to use the opposite sign (which in this case is division.)

Now, we use the equation 101,968/8 which gets us an answer of…

12,746!

X = 5

Step-by-step explanation:

78 = 12x+18

-18 -18

60 = 12x

5 = x

Answer:

Here is your answer

Step-by-step explanation:

Question: f(x)= x³-5x²-x

Answer:. f(3)=3³-5 x 3³ -3

f(3)=27 -135 -3

f(3)=27-138

f(3)=-111

hope this helps you

please mark me brainliest

have a great day :)

Answer:

a)

Step-by-step explanation:

find a linear function that models these data.

Answer:

2 + 0.36x

Step-by-step explanation:

0.36x = Total cost for x text messages

2 = Cost per month (no matter how many messages you send)

The answer is 2 + 0.36x

Hope this helps :)

Have a nice day!

Answer:

$100.87 (to the nearest cent)

Step-by-step explanation:

1 gallon = 27 miles

⇒ number of gallons needed to drive 838 miles = 838 ÷ 27 = 31.0370370... gallons

1 gallon = $3.25

⇒ total cost to drive 838 miles = 3.25 x 838/27 = $100.87 (to the nearest cent)

[tex]\bold{\huge{\orange{\underline{ Solution }}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

[tex]\bold{\underline{ To \: Find :- }}[/tex]

[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]

According to the question,

Cost of 1 share of ABC company = $18.75

Therefore,

Cost of 140 shares purchased by Jan in the ABC company

[tex]\sf{ = 140 × 18.75 }[/tex]

[tex]\sf{ = 2625\: dollars }[/tex]

Now,

For next 3 days, the value of share declined

[tex]\sf{ = (1 + 1.75 + 1.50)dollars }[/tex]

[tex]\sf{ = 4.25 \: dollars }[/tex]

Therefore,

The value of shares after 3 days will be

[tex]\bold{ = }{\bold{\frac{2625 - 4.25}{ 140}}}[/tex]

[tex]\bold{ = }{\bold{\frac{ 2620.75}{ 140}}}[/tex]

[tex]\bold{\red{ = 18.75\: dollars}}[/tex]

Hence, The value of share after 3 days will be $18.75 .

Answer:

Breadth=x+2

Step-by-step explanation:

[tex]Solution,\\\\Length(l)=5m\\\\Area=5x+10m^{2} \\\\Breadth(b)=?\\\\As,\\\\Area=l*b\\\\5x+10=5*b\\\\b=\frac{5x+10}{5}\\\\b=\frac{5x}{5} +\frac{10}{5} \\\\b=x+2[/tex]

Answer:

70°

Step-by-step explanation:

As, the sum of the angles in a straight line is 180°.

<E F C + < E F B = 180

70 + < E F B = 180

< E F B = 180 - 70

< E F B = 110°

Also, we know that the sum of the interior angles in a quadrilateral is 360°

So,

< E A B + < A E F + < E F B + < F B A = 360

90 + 90 + 110 + x = 360

290 + x = 360

x = 360 - 290

x = 70°

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

I believe it is the "square root" sign

Answer:

distributive

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sale price = Initial Cost - 15% of the initial Cost

The sale price = 1250 - 15/100 * 1250

The sale price = 1250 - 187.5

The Sale Price = 1062.5

Now you add on the sales tax

Cost with Sales Tax = 1062.50 + 6.5/100 * 1063

Cost with Sales Tax = 1062.50 + 69.06

Cost with Sales Tax = 1131.56 dollars.

Answer:

x= 7/12

Step-by-step explanation:

3/4- 1/6

18/24- 4/24

14/24

7/12

Answer:

29.4 m/s

Step-by-step explanation:

Use v = at with a = 9.8 m/s^2 and t = 3.00 sec

v = 9.8 * 3.00 = 29.4 m/s

Explanation:

"5 hours 50 minutes" is close to "6 hours"

Let's subtract 6 hours from 17:25

It would drop us to 11:25 since 17-6 = 11.

When we subtracted 6 hours, we subtracted 10 extra minutes that we shouldn't have done. To fix this, add 10 minutes on to go from 11:25 to 11:35

Answer:

The traveler started at 11:35

Step-by-step explanation:

The question already gives you the time that the traveler arrived which is 17:25 and how long it took them to get to the desired location which was 5 hours 50 minutes. So what you need to do is subtract the time the traveler arrived to how long it took to get there.

Equation:

17:25 - 5:50

= 11:35

Answer:

352.45 + 1.087x ≤ 575

Step-by-step explanation:

The most you can spend is $575, so the total you spend must be ≤ 575.

You already have a total for the pants of $352.45.

352.45 + price of hoodies ≤ 575

Let x = total price of the hoodies before tax.

The price of the hoodies with tax is

x + 8.7% of x = x + 0.087x = 1.087x

The inequality is

352.45 + 1.087x ≤ 575

Answer:

[tex] {x}^{2} + ( \frac{ \sqrt{3} }{2} ) {}^{2} = 1 \\ {x}^{2} = \frac{1}{4} \\ x = \frac{1}{2} \: \: or( \frac{1}{2} ) \\ x > 0 \\ therefore \: \: x = \frac{1}{2} [/tex]

Answer:

[tex]x=-\frac{1}{2}[/tex]

Step-by-step explanation:

equation of a circle:  [tex](x - h)^2+(y-k)^2=r^2[/tex]

where (h, k) = center and r = radius

From inspection, we can see that the center of the circle = (0, 0)

and the radius = 1

[tex]\implies (x - 0)^2+(y-0)^2=1^2[/tex]

[tex]\implies x^2+y^2=1[/tex]

Substitute [tex]y=\frac{\sqrt{3}}{2}[/tex]  into  [tex]x^2+y^2=1[/tex]  and solve for [tex]x[/tex]:

[tex]\implies x^2+(\frac{\sqrt{3}}{2})^2=1[/tex]

[tex]\implies x^2+\frac{3}{4}=1[/tex]

[tex]\implies x^2=\frac{1}{4}[/tex]

[tex]\implies x=\pm \sqrt{\frac{1}{4}}[/tex]

[tex]\implies x=\pm\frac{1}{2}[/tex]

As point P is in quadrant 2, [tex]x[/tex] is negative, so [tex]x=-\frac{1}{2}[/tex]