A hubcap has a radius of 11 centimeters. What is the area of the hubcap? Round your answer to the nearest hundredth. Use 3.14 for π.

Answer:

1/32 yd

Step-by-step explanation

Answer:

[tex]a.\ \frac{5}{36}\\b.\ \frac{1}{12}\\c.\ \frac{2}{9}\\d.\ $Not mutually exclusive$[/tex]

Step-by-step explanation:

Given two fair dice are rolled, one green and one red.

To find:

a. Probability of getting a sum of 8.

b. Probability of getting a sum of 4.

c. Probability of getting a sum of 8 or 4.

d. Are these outcomes mutually exclusive?

Solution:

First of all, let us have a look at the output of roll of two dice.

There are a total of 36 outcomes.

{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)}

a. Getting a sum equal to 8, we have following outcomes:

{(2, 6), (3,5), (4, 4), (5,3), (6, 2)}

5 possible outcomes for this event.

Formula for probability of an event E can be observed as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P($Getting 8$) = \dfrac{5}{36}[/tex]

b. Getting a sum equal to 4, we have following outcomes:

{(1, 3), (2,2), (3, 1)}

3 possible outcomes for this event.

Formula for probability of an event E can be observed as:

[tex]P($Getting 4$) = \dfrac{3}{36} = \dfrac{1}{12}[/tex]

c. Probability of getting a sum of 8 or 4?

Following possible outcomes are there:

{(2, 6), (3,5), (4, 4), (5,3), (6, 2), (1, 3), (2,2), (3, 1)}

Total 8 possible outcomes:

[tex]P($Getting 8 or 4$) = \dfrac{8}{36} = \dfrac{2}{9}[/tex]

d. Are these outcomes mutually exclusive?

These events are not mutually exclusive because they contain the similar outcome from both of the dice.

i.e. (4, 4) and (2, 2)

Answer

[tex]P(A) = 0.30[/tex]

[tex]P(B) = 0.77[/tex]

[tex]P(A\ n\ B) = 0.22[/tex]

[tex]P(A\ u\ B) = 0.85[/tex]

Explanation:

Given

See attachment for proper data presentation

[tex]n = 100[/tex] --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

[tex]Yes = 22[/tex] and [tex]No = 8[/tex]

[tex]n(A) = Yes + No[/tex]

[tex]n(A) = 22 + 8[/tex]

[tex]n(A) = 30[/tex]

P(A) is then calculated as:

[tex]P(A) = \frac{n(A)}{Sample}[/tex]

[tex]P(A) = \frac{30}{100}[/tex]

[tex]P(A) = 0.30[/tex]

Solving (b): P(B)

We only consider data in the Yes column.

Here:

[tex](1) = 22[/tex]    [tex](2) = 25[/tex] and [tex](3) = 30[/tex]

[tex]n(B) = (1) + (2) + (3)[/tex]

[tex]n(B) = 22 + 25 + 30[/tex]

[tex]n(B) = 77[/tex]

P(B) is then calculated as:

[tex]P(B) = \frac{n(B)}{Sample}[/tex]

[tex]P(B) = \frac{77}{100}[/tex]

[tex]P(B) = 0.77[/tex]

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

[tex]n(A\ n\ B) = 22[/tex]

The probability is then calculated as:

[tex]P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}[/tex]

[tex]P(A\ n\ B) = \frac{22}{100}[/tex]

[tex]P(A\ n\ B) = 0.22[/tex]

Solving (d): P(A u B)

This is calculated as:

[tex]P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)[/tex]

This gives:

[tex]P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}[/tex]

Take LCM

[tex]P(A\ u\ B) = \frac{30+77-22}{100}[/tex]

[tex]P(A\ u\ B) = \frac{85}{100}[/tex]

[tex]P(A\ u\ B) = 0.85[/tex]

Answer:

400x

Step-by-step explanation:

as shown in the graph from points such as (1, 400) or (2,800) the person is traveling 400 per day

Answer:

44%

Step-by-step explanation:

11 = x

25    100

'percent' means out of 100

25 x 4 = 100

11 x 4 = 44

Answer:

3 and a half

Step-by-step explanation:

Since it is half in a day they will lay 3 eggs and an egg will be in the process of coming

Answer:

The angle ACX equals 51 degrees. The angle ACB equals 129 degrees.

Step-by-step explanation:

21 + 30 + y = 180

y = 129

129 + x =180

x = 51

Answer:

the question is wrong

i cant answer it sorry

9514 1404 393

Answer:

  48

Step-by-step explanation:

The Pythagorean theorem tells you the square of the hypotenuse (longest side) is the sum of the squares of the other two sides. Let x represent the unknown side.

  73² = x² +55²

  5329 = x² +3025 . . . evaluate the squares

  2304 = x² . . . . . . . . . subtract 3025 from both sides

  48 = x . . . . . . . . . . . . take the square root of both sides

The exact length of the third side is 48.

Answer:

The value of x is -3.

Step-by-step explanation:

It is given that:

y=3x+5       Eqn 1

y=4x+8       Eqn 2

Putting value of y from Eqn 2 in Eqn 1

4x + 8 = 3x + 5

4x - 3x = 5 - 8

x = -3

Therefore,

The value of x is -3.

Im not sure the answer

Step-by-step explanation:

sorry tho

Answer:

(18,0)

Step-by-step explanation:

Set y equal to zero

0=2/3x-12

12=2/3x

x=18, the x intercept is (18,0)

Answer:

x-intercept at (18, 0)

Step-by-step explanation:

to find x-intercept, set 'y' equal to zero and solve for 'x'

0 = 2/3x - 12

12 = 2/3x

2x = 36

x = 18

Answer:

x² ≤ 16

x²-16 ≤ 0

x²-4²≤0

(x-4)(x+4) ≤ 0

-4 ≤ x ≤ 4

B. is the right answer.

Answer:

A

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

Answer: guy Belows right

Step-by-step explanation:

Answer:  150%

Step-by-step explanation:

6/4 is the same as 3/2 or 1¹/₂

Change to a decimal by dividing the denominator into the numerator

3/2 = 1.5

Then multiply by 100 to change from a decimal to a percent.

1.5 × 100 = 150  Add the % sign

150%

Answer:

A=45

15.25

Step-by-step explanation:

Answer:

$17 on food per person

Step-by-step explanation:

The cost of parking a car is $5

Assuming that the friends used one car, then the parking cost=$5

Admission cost is 19

For three people, Admission cost =19*3=57

TOTAl COSTS=Parking cost+Admission cost

TOTAl COSTS=57+5=62

Remaining amount can be used for food

FOOD= 113-62=51

Therefore each person can spend 51/3=$17 on food

I hope this was helpful and clear to follow

Answer:

$8

Step-by-step explanation:

19 x 4 + 5 + c =113

81 + c =113

-81         -81

c =32

32 divided by 4 ppl = 8

Answer:

x = 6

Step-by-step explanation:

[tex]x = \sqrt{10 {}^{2} - 8 {}^{2} } [/tex]

[tex]x = \sqrt{100 - 64} [/tex]

[tex]x = \sqrt{36} [/tex]

[tex]x = 6[/tex]

9514 1404 393

Answer:

  2.16

Step-by-step explanation:

The constant of proportionality is the ratio of y to x:

  k = 54/25 = 2.16

The constant of proportionality is 2.16.

Answer:

C

Step-by-step explanation:

Answer:

9+2=7-4+3

9-4=5+2=7

4-9=5+2=7

4-9+5+2=7

Step-by-step explanation:

Your welcome bro

Answer:

1. A

2. C

3. B

4. B

5. A

Step-by-step explanation:

I hope this helps might be wrong if they are just delete my answer.

9514 1404 393

Answer:

  y = 3x^2 -24x +50

Step-by-step explanation:

The vertex form is ...

  y = a(x -4)^2 +2

where 'a' is chosen to make the curve pass through the given point.

  14 = a(2 -4)^2 +2 . . . . substitute the given point

  14 = 4a +2 . . . simplify

  12 = 4a . . . . . subtract 2

  3 = a . . . . . . . divide by 4

Then the standard form is the expansion of the vertex form:

  y = 3(x -4)^2 +2 = 3(x^2 -8x +16) +2

  y = 3x^2 -24x +50

Answer:

66.44

Step-by-step explanation:

66.44 minutes will it take for the culture to achieve 10,000 bacteria.

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x

Given

B(t)=[tex]100.2^{\frac{t}{10} }[/tex] = 10000

[tex]2^{\frac{t}{10} } = 100\\t = 100\frac{ln 10}{ln 2} = 66.44[/tex]

To know more about logarithm refer to :

https://brainly.com/question/2411204

#SPJ2

Answer:

Step-by-step explanation:

Solving quadratic equation:

x = (r ± si)/t

r = 4, s = 3, t = 5