US consumers are increasingly using debit cards as a substitute for cash and checks. From a sample of 100 consumers, the average amount annually spent on debit cards is $7,790. Assume that this average was based on a sample of 100 consumers and that the population standard deviation is $500.
A. At 99% confidence, what is the margin of error?
B. Construct the 99% confidence interval for the population mean amount spent annually on a debit card.

Answer:

3,717,000

Step-by-step explanation:

The calculation of paperback copies is shown below:-

Let us assume hardback copies is x, so paperback copies will be 9x

now the equation is

35,000 + x + 9x = 448,000

10x = 448,000 - 35,000

10x = 413,000

[tex]= \frac{413,000}{10}[/tex]

= 41,300

Therefore, the paperback copies are

=  [tex]9\times 41,300[/tex]

= 3,717,000

Hence, the paperback copies is 3,717,000

Answer:(x+1)(x+2)(x-3)

Because..

Answer:

32.5861

Step-by-step explanation:

I interpreted it this way:

20 - stop at n = 20 (inclusive)

1 - start at n = 1

4(8/9)^(n - 1) - geometric expression

Answer:

Step-by-step explanation:

[tex]A=\begin{bmatrix}0 &0 &5 \\ 0 &0 &-3 \\ 0 &0 &3 \end{bmatrix}[/tex]

[tex]B=\begin{bmatrix}8 &-12 &5 \\ 7 &19 &5 \\ 0 &0 &0 \end{bmatrix}[/tex]

A.B = A × B

[tex]A.B=\begin{bmatrix}0 &0 &0 \\ 0 &0 &0 \\ 0 &0 &0 \end{bmatrix}[/tex]

Dimension of the resultant matrix is (3 × 3)

Answer:

Radius = 6.5cm

Diameter = 13cm

Step-by-step explanation:

The diameter is given (13)

Radius is half the diameter (13/2=6.5)

Answer:

Explanation

The straight line is drawn from the centre of a circle to a point on its circumference is called radius of the circle. The radius of a circle is half of its diameter.

The chord that passes through the centre of a circle is called diameter of circle. Diameter is also called the largest chord of any circle. The length of diameter of a circle is two times it's radius.

Hope this helps...

Good luck on your assignment...

Answer:

20π in³ or 62.832 in³

Step-by-step explanation:

The surface area for each cake is given by:

[tex]S=\pi r^2+2\pi rh[/tex]

Where 'r' is the radius of each cake (4 inches), and 'h' is the height of each cake (3 inches). Since there are two cakes, the total surface area is:

[tex]A=2*(\pi r^2+2\pi rh)\\A=2*(\pi 4^2+2\pi*4*3)\\A=80\pi\ in^2[/tex]

If Jayvon wants a consistent quarter-inch deep layer of frosting covering the surface of the cakes, the volume of frosting required is:

[tex]V=80\pi *0.25\\V=20\pi\ in^3 = 62.832\ in^3[/tex]

He needs 20π in³ or 62.832 in³ of frosting.

Answer:

192 m^2.

Step-by-step explanation:

We can split this up into 3 rectangles:

Area of the bottom rectangle = 27 * (9-3)

= 27 * 6 = 162 m^2.

Area of rectangle on the left = (18-6)*2

= 24 m^2

Area of small rectangle on the right = 3*2

= 6 m^2

Total area = 162+24+6

192 m^2.

Answer: 6

Step-by-step explanation:

A=bh plus 120 for A and 20 for B

120=20b

/20 divide by 20 each side

H=6

Answer:

16 shirts = GH¢256

Step-by-step explanation:

If 5 shirts cost GH¢80​

Let's determine the price of 16 shirts by cross multiplying the values

This method of evaluating answers is one of the essential methods .

It's just Making sure that the values within each side of the wall to symbol crosses each other.

But one shirt = GH¢80​/5

one shirt = GH¢16

So

5 shirts= GH¢80​

16 shirts = (16 shirts * GH¢80​)/5 shirts

16 shirts = GH¢1280/5

16 shirts = GGH256

Answer:

  B. II

Step-by-step explanation:

G is in quadrant IV. The quadrant that is across the origin from that is quadrant II.

  G' will lie in quadrant II

Answer:

B. 11

Step-by-step explanation:

Answer:

7.8 DAYS

Step-by-step explanation:

The time taken for the substance to reach 12g is 7.8 days

The half-life of a substance is the time taken for it to reach half it's initial value.

I will list some formula and concepts which are of importance to this topic but not necessarily this question.

In solving this problem, we may need the formula to calculate half life of a substance which is given as.

[tex]T_\frac{1}{2}= In2/[/tex]λ

where λ = Disintegration constant.

But to find this constant, we need to use another formula

[tex]N=N_oe^-yt\\\frac{N}{N_o}= e^-yt\\[/tex]

where the values are

However,

[tex]n=\frac{Log_e\frac{No}{N} }{Log_e2}[/tex]

Everything remains the same as above but only a slight change now

Substituting the values,

[tex]n = \frac{Log_e(\frac{30}{12}) }{log_e2}\\n = 1.32[/tex]

Since n stands for the half life passed within time (t)

The time taken would be

[tex]t = 1.32 * 5.9\\t =7.8[/tex]

The time taken for the substance to reach 12g is 7.8 days.

Learn more about half-life here;

https://brainly.com/question/2320811

The equation that represents the line that passes through the points A and C is y = x + 1

A linear equation is an equation that has a constant rate or slope, and is represented by a straight line

The points are given as:

(x,y) = (2,3) and (-4,-3)

Calculate the slope, m using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

So, we have:

[tex]m = \frac{-3 -3}{-4 - 2}[/tex]

Evaluate

m = 1

The equation is then calculated as:

y = m *(x - x1) + y1

So, we have:

y = 1 * (x - 2) + 3

Evaluate

y = x - 2 + 3

This gives

y = x + 1

Hence, the equation that represents the line that passes through the points A and C is y = x + 1

Read more about linear equations at:

https://brainly.com/question/14323743

#SPJ2

Answer:

y = x + 1

Step-by-step explanation:

Edge2020

Answer:

Step-by-step explanation:

The second is correct

f(x) <0 on ( _ infinit, -2.7) and ( -1, 0.8)

Answer:

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(920≤ x≤1730) = 0.7078

Step-by-step explanation:

Step(i):-

Given mean of the Population = 1100 lbs

Standard deviation of the Population = 300 lbs

Let 'X' be the random variable in Normal distribution

Let x₁ = 920

[tex]Z = \frac{x-mean}{S.D} = \frac{920-1100}{300} = - 0.6[/tex]

Let x₂ = 1730

[tex]Z = \frac{x-mean}{S.D} = \frac{1730-1100}{300} = 2.1[/tex]

Step(ii)

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

P(x₁≤ x≤x₂) = P(Z₁≤ Z≤ Z₂)

                  = P(-0.6 ≤Z≤2.1)

                  = P(Z≤2.1) - P(Z≤-0.6)

                 = 0.5 + A(2.1) - (0.5 - A(-0.6)

                 =  A(2.1) +A(0.6)               (∵A(-0.6) = A(0.6)

                 =  0.4821 + 0.2257

                 = 0.7078

Conclusion:-

The probability that the weight of a randomly selected steer is between 920 and 1730 lbs

            P(920≤ x≤1730) = 0.7078

Answer:

0.7975

Step-by-step explanation:

If the equation is

[tex]7\sin^2x-14\sin x+2=-5[/tex]

then rewrite the equation as

[tex]7\sin^2x-14\sin x+7=0[/tex]

Divide boths sides by 7:

[tex]\sin^2x-2\sin x+1=0[/tex]

Since [tex]x^2-2x+1=(x-1)^2[/tex], we can factorize this as

[tex](\sin x-1)^2=0[/tex]

Now solve for x :

[tex]\sin x-1=0[/tex]

[tex]\sin x=1[/tex]

[tex]\implies\boxed{x=\dfrac\pi2+2n\pi}[/tex]

where n is any integer.

If you meant sin(2x) instead, I'm not sure there's a simple way to get a solution...

Answer:

1. JG (Jim gets first prize, George gets second prize)

2. JH (Jim gets first prize, Helen gets second prize)

3. JM (Jim gets first prize, Maggie gets second prize)

4. GH (George gets first prize, Helen gets second prize)

5. GJ (George gets first prize, Jim gets second prize)

6. GM (George gets first prize, Maggie gets second prize)

7. MJ (Maggie gets first prize, Jim gets second prize)

8. MG (Maggie gets first prize, George gets second prize)

9. MH (Maggie gets first prize, Helen gets second prize)

Step-by-step explanation:

The question asks for the list of outcomes in the event "Not A". We are looking for the reverse or negative of Event A.

The above given list is the list of outcomes in the event where Helen DOES NOT get first prize.

Answer:

The LCM of 5, 4, and 10 is 20 so we can rewrite this expression as:

8/20 + 5/20 + 14/20 = (8 + 5 + 14) / 20 = 27 / 20 = [tex]1\frac{7}{20}[/tex]

Adding all the three fractions ,

Simplest form is

[tex]1\frac{7}{20}[/tex]

Given :

[tex]\frac{2}{5}+\frac{1}{4} +\frac{7}{10}[/tex]

Step-by-step explanation:

To add all the fractions , the denominators should be same

Lets find out LCD of 5,4  and 10

[tex]5= 1,5\\4=2,2\\10=5,2\\LCD=5\cdot 2\cdot 2=20[/tex]

Least common denominator = 20

Multiply the first fraction by 4  and second fraction by5  and third fraction by 2 to get same LCD 20

[tex]\frac{2}{5}+\frac{1}{4}+\frac{7}{10}\\\frac{8}{20}+\frac{5}{20}+\frac{14}{20}\\\\\frac{8+5+14}{20}\\\frac{27}{20}[/tex]

We cannot simplify the fraction further . So we write it in mixed form

[tex]1\frac{7}{20}[/tex]

Learn more :  brainly.com/question/22881654

Answer:

x=-1

Step-by-step explanation:

8/x+2=2/x-4

8/x=2/x-6

8=2-6x

6=-6x

-1=x

Answer:

x=6

Step-by-step explanation:

8/x+2=2/x-4

Using cross products

8*(x-4) = 2 (x+2)

Distribute

8x - 32 = 2x+4

Subtract 2x

8x-2x -32 = 2x-2x+4

6x-32 = 4

Add 32

6x-32+32 = 4+32

6x = 36

Divide by 6

6x/6 = 36/6

x = 6

Answer:

c. dividing is the inverse of multiplying because it doesn't really relate the equation like the others do.

Answer:

a = 16.733

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

a^2 + 9^2 = 19^2

a^2 = 19^2 - 9^2

a^2 = 361-81

a^2 =280

Taking the square root of each side

sqrt(a^2) = sqrt(280)

a = 16.73320053

Rounding to the nearest thousandth

a = 16.733

Hello! :)

____________ ☆ ☆____________________

Answer:

(7a+4)⋅(a+7)

Step-by-step explanation:

First you have to multiply... 7x28=196

Now find the factors of 196

Factor: 53

Add the first two terms

Add up the four terms and you get your answer

ANSWER: (7a + 4) • (a + 7)

_____________ ☆ ☆___________________

Hope this helps! :)

By BrainlyMember ^-^

Good luck!

Answer:

hope u get it.......!!

Answer:

A

Step-by-step explanation:

7x² - 4x - 8 - [ -3x² - 3x - 3]

In subtraction, flip the sign of all terms in the minuend

   7x² - 4x - 8

  3x² + 3x + 3

   4x² - x - 5

Answer:

$42.10

Step-by-step explanation:

Assuming that she did not yet buy a costume for herself, 800 dollars divided among 18 people plus herself is equal to $42.10 maximum per person.

Answer:

44.44

Step-by-step explanation:

800 didvided by 18.

━━━━━━━☆☆━━━━━━━

▹ Answer

0.5 = 1/2 and the rectangle with 3 cubes shaded in

0.6 = 60/100 and circle with three parts shaded in

0.8 = Rectangle with 8 cubes shaded and 4/5

▹ Step-by-Step Explanation

You can convert the fractions into decimals, and count the shaded parts for the shaded images.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

1

Step-by-step explanation:

We will use polynomial remainder theorem or little Bézout's theorem. It states that reminder p(x) divided by (x - a) is p(a). In our case (a = 3) it is p(3) = 1

hope it helps uh.......

Answer:

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Step-by-step explanation:

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

In this question:

Permutations of four letters from a set of 12 letters. So

[tex]P_{(12,4)} = \frac{12!}{(12-4)!} = 11800[/tex]

11,800 different four letter permutations can be formed using four letters out of the first 12 in the alphabet

Answer: it’s 11,880

not 11800