Ou are trying to estimate the average amount a family spends on food during a year. In the past, the standard deviation of the amount a family has spent on food during a year has been σ = $1200. If you want to be 99% sure that you have estimated average family food expenditures within $60, how many families do you need to survey? Place your answer, a whole number, do not use any decimals, in the blank___.

Answers

Answer 1

Answer:

The answer is "2653".

Step-by-step explanation:

[tex]Sample \ Size = 99\% \ Cl\\\\ E =60 \\\\\sigma= 1200\\\\[/tex]

Minimum sample size for Cl level [tex]= 99\%[/tex] and Desired Margin of Error, [tex]E = 60[/tex] is:  

[tex]\to P(|\bar{x}-\mu| < E) \geq 1-\alpha \\\\\to P(\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}} <- \frac{E}{\frac{\sigma}{\sqrt{n}}}) \leq \frac{\alpha}{2} \\\\\to - \frac{E}{\frac{\sigma}{\sqrt{n}}} \leq -z_{\frac{\alpha}{2}} \\\\\to n\geq (\frac{ z_{\frac{\alpha}{2} \times \alpha} }{E})^2 \\\\[/tex]

[tex]Margin \ Error = \frac{\text{length of the CI}}{2}\\\\\sigma=1200\\\\\alpha=1 - Confidence =1-0.99=0.01\\\\Z_{\frac{\alpha}{2}}=z_{0.005}=2.58\\\\n\geq (\frac{z_{0.005} \times \sigma }{E})^2 \\\\= (\frac{2.58 \times 1200 }{60})^2\\\\=2662.560\\[/tex]

The minimum n has to be integer, we take the ceiling Of above number and get n = 2663

The exact z-value.

[tex]n \geq (\frac{2.5758293035489 \times 1200}{60})^2 \\\\= 2653.95864[/tex]

using critical value of 2,575, which gives 2652.25  

[tex]\to n =2653[/tex]


Related Questions

The following tables show the values of linear , quadratic, and exponential functions for various values of . Indicate which function type corresponds to each table. Justify your choice. с у Y X у 6 1 1 71 56 6 1 14 9 2 9 2 28 N N 28 12 3 3 14 14 3 15 4 4 4 7 56 21 D B​

Answers

Answer:

Step-by-step explanation:

Consecutive differences in Table A are constant (9−6=12−9=15−12=3), indicating a linear function. Consecutive quotients in Table B are constant (147=2814=5628=2) indicating an exponential function. Similarly the constant quotient for Table D is 1/2. Neither consecutive differences nor quotients are constant in Table C, and its ordered pairs are related by the equation y=x2+5. So, Table A should be labeled "linear", Table B and D, "exponential", and Table C, "quadratic".

Volume is expressed in

Answers

Answer:

Cubic Units

Step-by-step explanation:

HELP MEEEEEEEEEEEEEEE!

Answers

Answer: go

Step-by-step explanation:

Which of the following shows the quadratic formula correctly used to solve the
polynomial equation 3x^2 - 2 =11x

Answers

[tex]3{x}^{2} - 2 = 11x \\ + 11x \: \: \: \: \: \: + 11x \\ 3 {x}^{2} + 11x- 2 = 0 \\ quadratic \: formula \: goes \: fom \: this \: : a {x}^{2} + bx + c = 0 \\ to \: this : x = \frac{- b \ \frac{ + }{ \: } \: \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

so now you just plug in the numbers to their corresponding letter:

[tex]x = \frac{ - 11 \frac{ + }{ \: } \sqrt{ {11}^{2} - 4(3)( - 2)} }{2(3)} [/tex]

PLEASE ANSWER PLZ PLZ

Answers

The answer is
A.) -2/5
Because x increases by positive two and y decrease by negative five

Answer:

Your answer is -5/2.

Step-by-step explanation:

Use the slope equation. (Refresh if you cant see below.)

[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]

Helppppppoppp please 10 points !!!

Answers

Answer:

2x+27+x+27=180

3x+54=180

3x=180-54

x=126/3

x=42

angle B=x+27

=42+27

=69 degree

Step-by-step explanation:

Answer:

B=69

Step-by-step explanation:

Supplementary angles have a sum of 180. Set up your formula as

180=(2x+27)+(x+27)

180=2x+27+x+27

180-27-27=3x

126=3x

126/3=x

42=x

Now substitute 42 in place of x for Angle B

Angle B = x+27

B = 42+27

B=69

Check your work by doing the same for Angle A

Angle A = (2x+27)

A=2*42+27

A=84+27

A=111

Now add both together and if you did it right, your answer is 180

69+111 = 180

The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?

Answers

Step-by-step explanation:

a_n=5n²+1

➜a_1=5(1)²+1

➜5×1+1

➜5+1

➜6

➜a_3=5(3)²+1

➜5×9+1

➜45+1

➜46

9. The quotient of n and -4 is 5. What is the
value of n?

Answers

Answer:

n=-20

Step-by-step explanation:

Answer:

n = -20

Step-by-step explanation:

n/-4 = 5

n/-4 (-4) = 5(-4)

n = -20

-20/-4 = 5

Pls help fast will give brainliest

Answers

Answer:

y= -2x+ 5

Step-by-step explanation:

parallel with y= -2x+ 1 means the lines have the same slope m= -2

from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)

y= mx+b is the general formula

y= -2x+ 5


Find the volume of an construction cone if it has a radius of 4 inches and a height of 16 inches.

Answers

Answer:

≈ 268 or 85.3π

Step-by-step explanation:

V = 1/3πr²h

V = 1/3 x 3.14 x 4² x 16

V ≈ 267.9467 or 268

also can be considered 85.3π


Logan inherited $8,000 from his grandmother. He split the money and placed the amounts in the two accounts below. Find the total amount of money he will have in the accounts combined after 5 years. x Account A: earns 7% interest compounded quarterly x Account B: earns 5.5% interest compounded annually

Answers

Answer:

What i got was 3000 please mark wrong if it not right

Step-by-step explanation:

Write a sentence in which the relative frequency of the letter E (or e) is exactly 10%.

Answers

Answer:

I'd try to do that, but it cannot be done.

Step-by-step explanation:

The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%

If each unit on the graph measures 1 inch, how far is the
inchworm from the ladybug? (Hint: The Pythagorean
theorem can be used because the x-axis, y-axis, and z-
axis each intersect at a right angle.)
O 5 in.
O 7 in.
0 12 in.
25 in.

Answers

Answer:

A. 5

Step-by-step explanation:

just did the quiz on .

How do I solve the indicated value?

Answers

Answer:

-43

Step-by-step explanation:

a12 = a1 + (12-1)×-5 =12-55 =-43

Solve for v.
-12v-9+7v=26

Answers

Answer:

v= -7

Step-by-step explanation:

Which of the following is the result of the equation below after completing the square and factoring?
x2+3x+8=6
Will mark brainliest

Answers

Answer:

D)

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Answer:

D is the answer

Step-by-step explanation:

x² + 3x + (3/2)² = 6 - 8 + (3/2)²

(x + 3/2)² = -2 + 9/4

(x + 3/2)² = -8/4 + 9/4

(x + 3/2)² = 1/4

Hope this helps you ;)

Have a great day

Mark brainliest

A rectangular flower bed has a width of (2x+5) and a length of (x+10). Find the area of the flower bed when the length is 25 ft

Answers

Answer:

875 ft

Step-by-step explanation:

Length is 25 feet so we can solve x with the equation x+10=25 so x=15

We can plug in 15 to find out the width. 2(15)+5=w, so w(width) is 35.

Area is length x width, length=25 and width=35 so 35 x 25= 875

875 ft

:)

What is the length of the hypotenuse

Answers

Answer:

15

Step-by-step explanation:

The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.

Answer:

15

Step-by-step explanation:

So, to find the hypotenuse you must use the pythagreons theorm:

A^2+B^2=C^2

Now, we knowt hat A and B is the side lengths.(9 and 12)

The hyoptenuse is C.

So, lets plug in our values for A and B, and find C:

A^2+B^2=C^2

=

9^2+12^2=C^2

Now lets square each number except for C, since its a unknown value:

81+144=C^2

Now combine the 144 and 81:

225=C^2

Finally, square root both sides so C^2 becomes C:

15=C

So the answer for the hyotenuse is 15!

Hope this helps!

The options are 45, 55, 40, 50 and 35. ​

Answers

Answer:

The answer for this question is 40

Answer:

The answer is 40 !!!!!!!

HELP ME I will give brainliest to whoever is RIGhT

Answers

Answer:

B)

Step-by-step explanation:


2. What is a line of symmetry?
(1 Point)

Answers

Answer:

Step-by-step explanation:

I believe you're refering to an "axis of symmetry."  This is most often seen in quadratic equations.  If the parabolic graph opens up or down, the axis of symmetry is the vertical line passing through the vertex, and the graph is symmetrical about this axis.  The same applies to a parabolic graph that opens left or right.

If y = ax^2 + bx + c, the equation of the axis of symmetry is x = -b / (2a).

Find the missing lengths of the leg AND the hypotenuse in simpilest radical form.

Answers

Answer:

Above picture is the solution for your question

Step-by-step explanation:

Use relation of trignometric ratios

What is the area of the sign?Darren made a display board in the shape of a trapezoid. Part A The height of the trapezoid is half the length of the shorter base, and the longer base is twice the length of the shorter base. What are the lengths of the height and the longer base? Enter your answers in the boxes.

Answers

Answer:

Height = 2 yards

Longer base = 8 yards

Step-by-step explanation:

From the figure attached :

The length of the shorter base of the Trapezoid = 4 yards

Hence, if height of Trapezoid is half the length of the shorter base ;

Then ;

Height of Trapezoid = shorter base/2 = 4 /2 = 2 yards

Longer base is twice the length of shorter base :

Longer base = 2 * shorter base = 2 * 4 = 8 yards

one side of a triangle is 50 and the other side is 120 what is the length of the third side?
this is exterior angle theorem.

Answers

I think it 10

Hope that helps

What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?

Answers

The formula for a circle is:

(x-p)^2+(y-q)^2=r^2

The radius is given (r=6), as well as the centre of the circle (-2;3).

"p" and "q" represent the coordinates of the centre of the circle.

So it would look like this -

(x-p)^2+(y-q)^2=r^2

p=x-coordinate (-2)
q=y-coordinate (3)
r=6

(x-(-2))^2+(y-(3))^2 =6^2
(x+2)^2 + (y-3)^2 = 36

***"^" means "to the power of"

Hope this helped~

Answer:

Solution given:

centre(h,k)=(-2,3)

radius(r)=6 units

we have

equation of a circle is:

(x-h)²+(y-k)²=r²

(x+2)²+(y-3)²=6²

(x+2)²+(y-3)²=36 is required equation of a circle.

Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums

Answers

Answer:

2.5 hours

Step-by-step explanation:

4 - 1.5 = 2.5

You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.

Edgar pay $67.86 for 7.8 pounds of fertilizer. What is the price per pound of fertilizer?
(Write in dollars & cents.)

Answers

Answer:

He pays $8.70

Step-by-step explanation:

You would do $67.86 divided by 7.8 lbs

                 

Which value(s) is a solution for the inequality
f < 4?

Answers

Answer:

665

Step-by-step explanation:

kmnbvcxsdrftyuiol,m nbvcxsdftgyhuio

Answer:

s = s

f < 4 = s

Step-by-step explanation:

The radius of a circle is 9 yards. What is the circle's area?
Use 3.14 forn.
square yards
Submit

Answers

Answer:

153.86 is your answer:)

Answer:

254.34

Step-by-step explanation:

3.14 x (9x9) = 254.34

I need help with this problem this is so hard for me please

Answers

Answer:

angle 2=81 degree

angle 1 =126 degree

Step-by-step explanation:

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