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3 years ago

Find the surface area of the ball shown. use 3.14 for it.

Mathematics

2 answers:

Free_Kalibri [48]3 years ago

8 0

Answer:254.34

Step-by-step explanation:

notka56 [123]3 years ago

8 0

Answer:

14.13 is the answer

Step-by-step explanation:

Hope this answer your question

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A customer visiting the suit department of a certain store will purchase a suit with probability 0.22, a shirt with probability

Pachacha [2.7K]

Answer:

a. The probability that a customer purchase none of these items is 0.49

b. The probability that a customer purchase exactly 1 of these items would be of 0.28

Step-by-step explanation:

a. In order to calculate the probability that a customer purchase none of these items we would have to make the following:

let A represents suit

B represents shirt

C represents tie

P(A) = 0.22

P(B) = 0.30

P(C) = 0.28

P(A∩B) = 0.11

P(C∩B) = 0.10

P(A∩C) = 0.14

P(A∩B∩C) = 0.06

Therefore, the probability that a customer purchase none of these items we would have to calculate the following:

1 - P(A∪B∪C)

P(A∪B∪C) =P(A) + P(B) + P(C) − P(A ∩ B) − P(A ∩ C) − P(B ∩ C) + P(A ∩ B ∩ C)

= 0.22+0.28+0.30-0.11-0.10-0.14+0.06

= 0.51

Hence, 1 - P(A∪B∪C) = 1-0.51 = 0.49

The probability that a customer purchase none of these items is 0.49

b.To calculate the probability that a customer purchase exactly 1 of these items we would have to make the following calculation:

= P(A∪B∪C) - ( P(A∩B) +P(C∩B) +P(A∩C) - 2 P(A ∩ B ∩ C))

=0.51 -0.23 = 0.28

The probability that a customer purchase exactly 1 of these items would be of 0.28

6 0

3 years ago

Which statement is true about figures ABCD and A′B′C′D′? (1 point)

sladkih [1.3K]

Answer:

Step-by-step explanation:

A'B'C'D' is obtained by rotating ABCD 180° counterclockwise about the origin and then reflecting it across the x-axis.

A(2, -2) is mapped to A'(-2, -2)

B(1, -4) is mapped to B'(-1, -4)

C(0, -2) is mapped to C'(0, -2)

D(1, -1) is mapped to D'(-1, -1)

If we rotate counterclockwise 180°, every point (x, y) is mapped to (-x, -y):

A(2, -2) gets mapped to (-2, 2)

B(1, -4) gets mapped to (-1, 4)

C(0, -2) gets mapped to (0, 2)

D(1, -1) gets mapped to (-1, 1)

Reflecting these images across the x-axis will then map (x, y) to (x, -y):

(-2, 2) gets mapped to (-2, -2)

(-1, 4) gets mapped to (-1, -4)

(0, 2) gets mapped to (0, -2)

(-1, 1) gets mapped to (-1, -1)

These new coordinates are the same as A'B'C'D'.

3 0

2 years ago

Determine the first four terms of the sequence in which the nth term is...

Anon25 [30]

Answer:

1/5, 1/6, 1/7, 1/8

Step-by-step explanation:

The formula for the sequence is (n+3)!/ (n+4)!

The first terms uses n=1

a1 = (1+3)!/ (1+4)! = 4!/5! = (4*3*2*1)/(5*4*3*2*1) = 1/5

The first terms uses n=2

a2 = (2+3)!/ (2+4)! = 5!/6! = (5*4*3*2*1)/(6*5*4*3*2*1) = 1/6

The first terms uses n=3

a3 = (3+3)!/ (3+4)! = 6!/7! = (6*5*4*3*2*1)/(7*6*5*4*3*2*1) = 1/7

The first terms uses n=4

a4 = (4+3)!/ (4+4)! = 7!/8! = (7*6*5*4*3*2*1)/(8*7*6*5*4*3*2*1) = 1/8

7 0

3 years ago

Read 2 more answers

Please help find the missing angle measures

masya89 [10]

Answer:

127

Step-by-step explanation:

(n-2)180

(5-2)180

=540 for total angle

540-90(3)-143

=127

7 0

2 years ago

Read 2 more answers

Find the slope for the points (5,7) and (8,4)

raketka [301]

Answer:

-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(4-7)/(8-5)

m=-3/3

m=-1

4 0

2 years ago

Read 2 more answers