Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?

A. 1/9
B. 1/8
C. 1/4
D. 1/3

Using the Central Limit Theorem, it is found that each random sample must have at least 10 parents supporting the change and 10 opposing.

It states that for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].

For the test hpyothesis, two conditions are needed:

Hence each random sample must have at least 10 parents supporting the change and 10 opposing.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

y = 3/2x + 15/2

or

y = [tex]\frac{3x+15}{2}[/tex]

Step-by-step explanation:

To solve inverse functions, switch the x and y in the equation, then

solve for y.

original equation :

y = (2/3)x - 5

switch x and y

x = (2/3)y - 5

add 5 to both sides

x + 5 = (2/3)y

Multiply both sides by the reciprical of (2/3)

(3/2)(x+5) = (3/2)(2/3)y

distribute and simplifiy

(3/2x +15/2) = y

or

y = (3/2x) +(15/2)

Answer:

5.4232

Step-by-step explanation:

this should be correct

Answer:

Step-by-step explanation:

Given that a quadrilateral has two angles that measure 222° and 81°.

Let other two angles of quadrilateral be 6x and 13x. We know that sum of all the angles of quadrilateral is 360°.

➝ 222 + 81 + 6x + 13x = 360°

➝ 303 + 19x = 360°

➝ 19x = 360° - 303

➝ 19x = 57

➝ x = 57/19

➝ x = 3

Hence,

∴ Other two angles of quadrilateral measures 18° and 39°

Answer:

Measurement of other two angles are 39° and 19°

Step-by-step explanation:

Given :-

To find:-

Solution:-

Let the value of other two angles be 6x and 13x

We know , the sum of angle inside a quadrilateral is 360°

222° + 81° + 13x + 6x = 360°

19x = 360° - 303°

x = 3

So , the value of other two angles are

13 × 3 = 39°

6 × 3 = 18°

Answer:

3

Step-by-step explanation:

Mean= add up all the numbers, then divide by how many numbers there are. 0+3+6=9

9/3=3

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \pounds 4000\\ r=rate\to 2.5\%\to \frac{2.5}{100}\dotfill &0.025\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (4000)(0.025)(4)\implies I=400[/tex]

Answer:

7/15

Step-by-step explanation:

By using what we know about right triangles, we will see that the height is 11.7 m.

We can view this as a right triangle, such that the wire is the hypotenuse of said triangle.

We know that the hypotenuse measures 14 m, and the angle between the ground and the wire si 57°. The height would be the opposite cathetus to that angle, so we can use the rule:

Sin(a) = (opposite cathetus)/hypotenuse

Replacing the values we get:

Sin(57°) = H/14m

Sin(57°)*14m = H = 11.7m

The height of the tower is 11.7 meters.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Images that are reflected are mirror images of each other. The coordinate D reflected over the y-axis will give (0, 1).

Images that are reflected are mirror images of each other.

The reflection rule of a coordinate (x, y) over the y-axis is given as:

(x, y) - > (-x, y)

Given the coordinate CD expressed as C(-5, -5) and D(0,1), the coordinate D reflected over the y-axis will give (0, 1).

Learn more on reflection here: https://brainly.com/question/26642069

Answer:

(0, 1)

Step-by-step explanation:

Answer:

Step-by-step explanation:

arc EF=90-20=70°

arc FDA=20°

∠ABC==180-20=160°

Answer:

Step-by-step explanation:

Remark

The method of finding the area of the ring is to find the area of the outer ring and subtract the area of the hole in the middle.

Outer ring

r = 10 + 4  = 14 inches

Area = pi * r^2

Outer ring area = pi * 14^2

Outer ring area = 196 pi

Inner hole

Area unshaded part = pi * r^2

r = 10

Area = pi * 10^2

Area = 100 pi

Area of the shaded part

area of the shaded part = outter circle area - inner circle area

outter circle area = 196 * pi

inner circle area = 100 pi

Area of the shaded part = 196 pi - 100 pi

Area of the shaded part = 96 pi

pi = 3.14

Area of the shaded part = 96 * 3.14

Answer area of the shaded part = 301.44

Answer area of the shaded part = 301.4 rounded to the nearest tenth

The second problem is done exactly the same way. Only the numbers have been changed. I will give you the answers to the main part of the problem and you can try and get what I got. If we disagree, be preparred to tell me what you got so I correct mine if it is wrong.

Outter Radius = 18 + 8 = 26

Area of outter circle =  pi * 26^2

Area of outter circle =  676 pi

Inner Circle area hole = pi * 18^2

Inner Circle area hole = 324 pi

Area of the shaded part = outter circle - inner circle

Area of the shaded part = 676 pi - 324 pi

Area of the shaded part = 352 pi

pi = 3.14

Area of the shaded part = 352 * 3.14

Answer: area of shaded part rounded to 1 decimal place = 1105.3

Answer

(1 - sin2x)/(sin - 1)

Step-by-step explanation:

tan225° = 1

sin270° = -1

Substitue these values and you get:

(1 - sin2x)/(sin - 1)

Hope this helps!

If the value of the mean is 79.6923 then the standard deviation is 3.5. Then the correct option is A.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in a variation.

The following table shows the heights, in inches, of the players on the opening-night roster of the 2015-2016 New York Knicks.

84, 80, 87, 75, 77, 79, 80, 74, 76, 80, 80, 82, 82

The mean will be

N = 13

[tex]\mu = \dfrac{84+ 80+ 87+ 75+ 77+ 79+ 80+ 74+ 76+ 80+ 80+ 82+ 82}{13}\\\\\mu = \dfrac{1036}{13}\\\\\mu = 79.6923[/tex]

Then the standard deviation will be

[tex]\sigma = \sqrt{\dfrac{\Sigma _{i=2}^N (x_i - \mu)^2}{N}}\\\\\sigma = \sqrt{\dfrac{(84-79.6923)^2+(80-79.6923)^2+ ..... + (82-79.6923)^2}{13}}\\\\\sigma = 3.4947128281848 \approx 3.5[/tex]

More about the standard deviation link is given below.

https://brainly.com/question/12402189

#SPJ1

Answer:

Rewrite the equation into the form of "y=mx+b", plot the y-intercept (b), plot the x-intercept(s), then create the line.

Step-by-step explanation:

Example: 2x + y = 1

I hope this helps!

Answer:

Step-by-step explanation:

If 60cm is the outer diameter of the rim, then the rim without a tire would travel 188.50 (not 188.4) cm per revolution. There will of course be a tire, and the extra diameter of wheel+tire will increase the distance traveled by the bike. If e.g. the tire is 3cm from bead to outermost tread (and is properly inflated), then the extra circumference would be 2 x 3cm x pi = 18.850cm of distance traveled, for a total of just over 207.3 cm per revolution.

Answer:4.25

Step-by-step explanation: you divide the cost by the materials I believe (I’m sorry if it’s wrong)

Answer:

2.85

Step-by-step explanation:

In order to find a unit price (price per item), you will need to divide.

In this case, we have the numbers 14.25 and 5.

So if we divide...

14.25 ÷ 5 = 2.85

We know the unit price.

The answer is 2.85.

Brainliest please?  

Answer:

1) 27/125

2) 12/25

Step-by-step explanation:

3*3*3 = 27

3*5*4= 60, but simplified is 12/25

Answer:

quotient: 7084

remainder: 5

Answer:

2160

Step-by-step explanation:

12×4×3×5÷2×6

Multiply 12 and 4 to get 48.

2

48×3×5

​

×6

Multiply 48 and 3 to get 144.

2

144×5

​

×6

Multiply 144 and 5 to get 720.

2

720

​

×6

Divide 720 by 2 to get 360.

360×6

Multiply 360 and 6 to get 2160.

2160

Answer:

follow PEMDAS

that leaves multiplication as our first priority, division as our second.

[tex]12 * 4 = 48\\48 * 3 = 144\\144 * 5 = 720\\solve~2 * 6\\2 * 6 = 12\\now~resume\\12 / 720 = 60[/tex]

Answer:

C 61

Step-by-step explanation:

Answer:

[tex]t_{14}[/tex]= -27

Step-by-step explanation:

a = -1

 and d = -3 - (-1)

            = -2

Basically, [tex]t_{14}[/tex] = a + 13d

                     = -1 + 13 x (-2)

                     = -1 - 26

                     = -27

The area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Area of square is the square of its side's length. It can be given as,

[tex]A=a^2[/tex]

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

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm. The perimeter of the square is 4 times the sides of the square.

Let suppose the side of this square is a cm. thus,

[tex]4a=P\\4a=20\\a=\dfrac{20}{4}\\a=5\rm\; cm[/tex]

The area of the square is,

[tex]A=5^2\\A=25\rm\; cm^2[/tex]

Hence, the area of the square, which has an apothem measuring 2.5 cm and a perimeter of 20 cm is 25 cm².

Learn more about the area of square here;

https://brainly.com/question/1658516

Answer:

25cm

Step-by-step explanation:

e2020

Answer:

1.) It's too small to be considered a planet.

2.)it did not meet the three criteria the IAU uses to define a full-sized planet.

Answer:

13

Step-by-step explanation:

6+3 x 2-5+(7-1)

6+3 x 2-5+(6)

6+6-5+6

12-5+6

7+6

13

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

you can follow BODMAS rule where,

B= brackets

O= Order

D= Division

M= Multiplication

A= Addition

S= Subtraction

[tex]6 + 3 \times 2 - 5 + (7 - 1)[/tex]

[tex] = 6 + 3 \times 2 - 5 + 6[/tex]

[tex] = 6 + 6 - 5 + 6[/tex]

[tex] = 12 - 5 + 6[/tex]

[tex] = 7 + 6[/tex]

[tex] = 13[/tex]

Answer:

3 cm

Step-by-step explanation:

The formula for the volume of a pyramid is :

Given

Solving