12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.

Using it's concept, it is found that his net worth is given by:

C) $1,052,662

It is given by the sum of the individual assets subtracted by the sum of it's liabilities.

In this problem:

Hence, his net worth is given by:

Net worth = $1,233,000 - $180,338 = $1,052,662.

Which means that option C is correct.

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first pic no 13

sec no 14

third no 15

shjdidifjie

Answer:

Step-by-step explanation:

diameter = circumference / π

= 31/π

= 9.9 ins to nearest tenth

The area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Area of square is the square of its sides length. It can be given as,

A=a^2

Here, (a) is the length of the side of the square

The legs of the smallest triangle is 1-1 units long. Thus, the area of this triangle is,

[tex]A=\dfrac{1\times1}{2}\\A=\dfrac{1}{2}\rm\; unit^2[/tex]

The area of small squares with side 1 is,

[tex]A=1^2\\A=1 \rm \;unit^2[/tex]

Pythagoras theorem says that in a right angle triangle, the square of the hypotenuse side is equal to the sum of the square of other two legs of the right angle triangle.

The hypotenuse side length of this triangle is,

[tex]h=\sqrt{1^2+1^2}\\h=\sqrt{2}[/tex]

Thus, the area of the square with √2 side is,

[tex]A=\sqrt{2}^2\\A=2\rm\; unit^2[/tex]

Similarly, the area of all the squares and triangle with the different sides can be found out.

Thus, the area of the small triangle in six right triangles are shown is 1/25 units² and the area of the small square is 1 units².

Learn more about the area of square here;

https://brainly.com/question/1658516

#SPJ1

Answer:

The width W is :

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

Step-by-step explanation:

Let A be the area of the rectangle

Let L be the length of the rectangle

Let W be the width of the rectangle

______

Formula:

A = L × W

__________

[tex]\begin{aligned}A &=L \times W \\\Rightarrow W &=\frac{A}{L} \\\Rightarrow W &=\frac{\frac{3}{8}}{\frac{5}{8}} \\&=\frac{3}{8} \times \frac{8}{5} \\&=\frac{3 \times 8}{8 \times 5} \\&=\frac{3}{5}\end{aligned}[/tex]

Answer:

A = 160

Step-by-step explanation:

Formula 1/2 d1d2

1/2 (16 x 20)

320 x 1/2 OR 320/2

=160

Hope this helps :)

well, she put 130 bucks, and then she got back 132.6 after one year, so the interest earned is 132.6 - 130 = $2.6, thus

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$2.60\\ P=\textit{original amount deposited}\dotfill & \$130\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 2.60 = (130)(\frac{r}{100})(1)\implies 2.6=\cfrac{130r}{100}\implies 260=130r \\\\\\ \cfrac{260}{130}=r\implies 2=r[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

after operating costs are paid to a toy shop, as more toys are sold, more money is made

Answer:

8000 * 1.025 = 8200

commision = 200

Step-by-step explanation:

Answer:

1.85

Step-by-step explanation:

So, s (sketchbook) is a+1.90.

8a+ 3(a+1.90)=26.05

8a+3a+5.7=26.05

11a=20.35

a=1.85

Check:

8x1.85=14.8

s=11.25

Answer:

A= 1.85

Step-by-step explanation:

I made an equasion

8(a) + 3(a+1.90) = 26.05

distributed

8a+ 3a + 5.70 = 26.05

Added

11a+ 5.70= 26.05

subtracted

11a= 20.35

divided

a= 1.85

Answer:

it doesnt say any numbers or pictures of the question can you add them

Answer:

x=x

Step-by-step explanation:

x=x because x has the same value as x

Answer:

84.0

Step-by-step explanation:

Range: Highest value - lowest value

Highest value: 76

Lowest value: -8

= 76 - (-8)

= 84

= 84.0

Answer:

Line up the decimal points. **Answer is Least to greatest: 10.5 , 11, 19**

Step-by-step explanation:

You need to line each number up.

10.5

11.0

19.0

The reason why 11 and 19 have a decimal point and zero at the end is because you need to do that in order to compare the numbers.

This problem is also a little common sense because 10.5 is the smallest, 19 is the largest while 11 is in the middle.

Answer:

When you have a scalene triangle, the angles are less than 90 degrees, same as obtuse where the angles are bigger than 90 degrees.

[tex]\text{Given that, f(x) = 2x+5}\\\\f(-1) = 2(-1)+5 = -2+5= 3\\\\f(2) = 2(2)+5 = 4+5 = 9\\\\f(0) =2(0)+5 = 0+5=5\\\\f(z) = 2z+5[/tex]

the surface area should be 544 (whatever the unit is)

Step-by-step explanation:

You start by taking the rectangles on the side and finding their area.

1. (10×14)×2 ←Because there are two rectanglular sides.

2. find the area of the triangles on the side. 1/2bh = area of triangle.

(.5×8×6)×4 ← in order to find the area for all of the triangles.

3.  lastly take the base of the prism and find the area then add the previously found values together.

(12×14)+(.5×8×6)×4+ (10×14)×2 = 544

Answer:

I can't see the full question but as far as I can tell

by the picture

x=100

Answer:

65⁰ because the opposite angles of parallelogram are equal...

Question

Answer

[tex]→ \frac{3 \times - 12}{5 \times - 20} \\ [/tex]

[tex] \sf \: solution→ \sf \: factor \: the \: expression \: \frac{7(a + b)}{ {a}^{2} - b } \\ [/tex]

[tex] \sf \red{ answer \: is→ \frac{9}{a - b}} \\ [/tex]

Answer:

2.42

Step-by-step explanation:

First, we need to find the mean

Add up all the number

1+6+5+8+3+7+1+4+10+9 = 54

Count up all the numbers (found in data)

10

Then, divide

54/10 = 5.4

Then find the absolute difference between each point and the mean and sum them together  and divide by the number of points

((5.4-1)+(5.4-6)+(5.4-5)+(8-5.4)+(5.4-3)+(7-5.4)+(5.4-1)+(5.4-4)+(10-5.4)+(5.3-9)) ÷ 10

24.2 ÷ 10 = 2.42

2.42

Answer:

2.42

Step-by-step explanation:

Answer:

5 units

Step-by-step explanation:

The volume of the cylinder is the area of the circle multiplied by it's height. Therefore, the volume of the cylinder is πr² × h, which when simplified, gives us πr²h. Let's substitute the volume and the radius in the formula to find the height.

⇒ πr²h = Volume of cylinder

⇒ (π)(3²)(h) = 45π

Now, simplify the equation to evaluate the area of the cylinder.

⇒ (π)(3²)(h)/(3²)(π) = 45π/(3²)(π)

⇒ (h) = 45π/(9)(π) = 45/(9) = 5 units

Answer:

90 in²

shoebox:

Another shoebox:

====================

[tex]\sf (\dfrac{area1}{area2})^3 = (\dfrac{volume1}{volume2} )^2[/tex]

====================

[tex]\sf \hookrightarrow (\dfrac{x}{160})^3 = (\dfrac{27}{64} )^2[/tex]

[tex]\sf \hookrightarrow \dfrac{x^3}{160^3} = \dfrac{27^2}{64^2}[/tex]

[tex]\sf \hookrightarrow \ x^3 = \dfrac{729*4096000}{4096}[/tex]

[tex]\sf \hookrightarrow \ x^3 = 729000[/tex]

[tex]\sf \hookrightarrow \ x = \sqrt[3]{729000}[/tex]

[tex]\sf \hookrightarrow \ x = 90[/tex]

Considering the function for it's height, it is found that the ball traveled for 3 seconds before returning to the ground.

The height of the ball after t seconds is given by:

h(t) = -16t² + 48t.

It is at the ground at the instants of t for which:

h(t) = 0.

Hence:

-16t² + 48t = 0

-16t(t - 3) = 0.

We want t different of 0, hence:

t - 3 = 0 -> t = 3.

The ball traveled for 3 seconds before returning to the ground.

More can be learned about functions at https://brainly.com/question/25537936

Answer:

3 seconds is the answer

Step-by-step explanation:

Answer:

They both have polygon bases

Step-by-step explanation:

Hope this helps :)

Answer:

m∠5 = 75°

Step-by-step explanation:

Angle 2 and Angle 4 are the same as they are alternate interior angles.

Since m∠2 = 45°

We then have m∠4 = 45°

We are given m∠3 = 60°

Now, we just have to find 7∠5.

The sum of the angle of a triangle adds up to 180°.

So, m∠3 + m∠4 + m∠5 = 180°.

60° + 45° + m∠5 = 180°.

Solving for ∠5

m∠5  = 180° - (60° + 45°)

m∠5 = 180° - (105°)

m∠5 = 75°