43. A bookstore sells 24 paperbacks, 6 hardcovers, 38 magazines, and
5 calendars. What is the ratio of magazines sold to paperbacks sold?
c. 12
A. 24:38
B. 19 to 31
D. 12:24

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:

805

Step-by-step explanation:

It's kinda hard to explain but first you would convert 23% to a decimal. To do that, move the decimal 2 places to the left, resulting in 0.23. Then multiply 3500 by 0.23 to get your answer.

Answer:

the question is wrong

i cant answer it sorry

Answer: each will get 3/2

Step-by-step explanation:

They will each get a whole cookie with one left over that they can break in half.

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]

Answer:

3 & 6

Step-by-step explanation:

right angles will form perpendicular sides, and shapes 3 and 6 are the only ones with right angles

Answer: guy Belows right

Step-by-step explanation:

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

117

130+110=240

240/101=2.37623762376x the equlatiral line by its invisible circle you get 117

Answer:

1/32 yd

Step-by-step explanation

Answer:

A=45

15.25

Step-by-step explanation:

Answer:

q=12+14

=26

Step-by-step explanation:

the answer would be 26

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.

Answer:

x = distance from the building = 837 ft

y = height = -483 ft (The building is DOWN from the plane.)

θ = angle of depression = to be determined

tan θ = y/x

tan θ = -0.577060932

θ = arctan (-0.577060932)

θ = -29.98756509 ° ≈ -30 ° (The building is DOWN from the plane.)

Step-by-step explanation:

Cited from Yahoo! Answers. Please don't sue me!

Given:

Opposite= 483 ft

Hypotenus= 858 ft

To find:

The angle of depression=?

Solution:

               [tex]\to \sin \theta =\frac{opposite}{hypotenus} \\\\ \to \sin \theta =\frac{483}{858} \\\\\to \theta = \sin^{-1} (\frac{483}{858}) \\\\\to \theta \approx 34.25^{\circ} \\\\[/tex]

Learn more about the angle of depression:

brainly.com/question/9817377

Answer:

-17

Step-by-step explanation:

the expression is 6x-5

Substituting x=-2

6(-2)-5

(-12)-5=-17

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:

-3/4 < -1/2

Step-by-step explanation:

have a good day luv! ^^

Answer:

80 - 2x

Step-by-step explanation:

Given

Total number of people = 80 people

Total men = x men

Total women = x women

Let the number of childeren be c

x + x + c = 80

Make c the subject of the formula

c = 80 - (x+x)

c = 80 - 2x

Hence the total children attending is 80 - 2x

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)

Step-by-step explanation:

When x = 0, y = 2(0) - 3 = -3.

When x = 1, y = 2(1) - 3 = -1.

When x = 2, y = 2(2) - 3 = 1.

When x = 3, y = 2(3) - 3 = 3.

The ordered pairs are (0, -3), (1, -1), (2, 1), (3, 3).

Answer:

Greater than

Step-by-step explanation:

It becomes 8/3

Answer:m no

Step-by-step explanation:

Answer:

Step-by-step explanation:

One standard deviation below the mean:

Jack downloaded 25 songs

Answer:

A

Step-by-step explanation:

Answer:

i think 12

Step-by-step explanation:

Answer:

it's like a 50% probability

Answer:

The answer is C

Step-by-step explanation:

Edgy 2021 Unit Test

Answer:

130

Step-by-step explanation:

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