Can someone please help me cause i am so confused

A: The probability of cantaloupe having dia. more than 127 is 0.12167.

B: Cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.

C: The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.

The probability formula is defined as the possibility of an event happening being equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability is a measure of the likelihood of an event occurring.  Also, the favorable number of outcomes cannot be negative.

Given two warehouses, A and B

mean for warehouse A = μ = 120 mm

The standard deviation for warehouse A = σ = 6mm

A:  a cantaloupe selected at random from Warehouse A

to find the probability of cantaloupe having a diameter greater than      127 mm = P(x > 127)

P(x > 127) = 1 - P(x ≤ 127)

P(x ≤ 127) = P((x - μ)/σ)

P(x ≤ 127) = P((127 - 120)/6)

P(x ≤ 127) = P(z ≤ 1.66)

P(x ≤ 127) = 0.87833

P(x > 127) = 1 - P(x ≤ 127)

P(x > 127) = 1 - P(x < 127) = 0.12167

probability of cantaloupe having dia. more than 127 is 0.12167.

B: Let event A for distributor A and  let event B for distributor B

and event C for a diameter greater than 127 mm.

and given A randomly selected cantaloupe from Warehouse B has a probability of 0.763 that it will have a diameter greater than 127 mm,

and the percentage of cantaloupe provided by B is 40%

rest 60% for A,

therefore, for cantaloupe selected at random, the probability of having a diameter greater than 127 mm is

P(C) = P(C|A)P(A) + P(C|B)P(B)

=  0.12167(0.6) + 0.763(0.4)

= 0.073 + 0.3052

P(C) = 0.3782

cantaloupe selected at random from the warehouse, then the probability that has a diameter of more than 127 mm is 0.3782.

C:   the probability the cantaloupe came from Warehouse B, given that the randomly selected cantaloupe's diameter is greater than 127 mm,

P(B|C) = P(B ∩ C)/P(C)

P(B|C) = (P(C|B)P(B))/P(C)

substitute values

P(B|C) = ((0.763)(0.4))/0.3782

P(B|C) = 0.3052/0.3782

P(B|C) = 0.8069

The probability that the cantaloupe will be from warehouse B given randomly selected cantaloupe's diameter is greater than 127 mm, is 0.8069.

Hence the probabilities are,

A;  0.12167

B; 0.3782

C; 0.8069.

Learn more about probability;

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Answer:

slope =-4 or -4/1

Step-by-step explanation:

the graph shows 4 down and 1 over

Answer:

if $3000 was reduced from X which is now $16,000 x or the original price is $19,000

Step-by-step explanation:

$19,000- $3,000=$16,000

Answer:

what figure?!

Step-by-step explanation:

im not sure scence i dont know what figure but if u were u i would do l × w

Answer:

137

Step-by-step explanation:

Answer:

He needs 7 buckets of cement, and 28 buckets of sane.

Step-by-step explanation:

cement : sand

1:4 = 5

35/5 = 7

7*1=7 .          Cement

7*4=28 .       Sand

Answer:

The arc length is 20.95 feet

Step-by-step explanation:

We calculate this using;

length of arc = theta/360 * 2 * pi * r

where theta is the central angle

So we have

length = 150/360 * 2 * 22/7 * 8

length = 20.95 feet

Answer:

x=2√5/5

x=-2√5/5

Step-by-step explanation:

13√(2√5/5)^2-(2√5/5)^4+9√(2√5/5)^2+(2√5/5)^4=16

13√(4×5/25)-(16×25/625)+9√(4×5/25)+(16×25/625)

13√(4/5)-(16/25)+9√(4/5)+(16/25)

13√(4/25)+9√(36/25)

13×2/5+9×6/5

26/5+54/5

16=16 (proven)

Answer:

9.405

Step-by-step explanation:

Answer:

D' = ( -3, -2)

Step-by-step explanation:

Rate me branliest please :)

Answer:  $19968

Step-by-step explanation: Assuming the electric technician works 52 weeks a year with an average of of $40 of paid work, the electrician would make about $19,968 or close to $20,000 a year.

Answer:

No solution

Step-by-step explanation:

Combine terms

Add x

Add 2

Divide

Answer:

12.5 hours

Step-by-step explanation:

[tex]\frac{400}{32}[/tex] = 12.5

Answer:

12 hours and 30 minutes

Step-by-step explanation:

400/32 = 12.5

Answer:

Acute Scalene

Step-by-step explanation:

Answer:

x=50

Step-by-step explanation:

since all the angles of a triangle when added equal 180 we are going to have an equation like this:

180=102+28+x

180=130+x

so to find the value of x we have to subtract the final number by the value already given to us so something like:

180-130

which equals 50

Answer:

B

Step-by-step explanation:

Take his original balance (-142) and add the deposit (500) to get $358.

Hope this helps!

Answer:

B. $358

Step-by-step explanation:

the way you would get this would be to add -142+500

Answer:  (6.75,0)

Step-by-step explanation:

The x-intercept of a line is when it's y coordinate is 0, so input 0 into the equation for y and solve for x.

4x + 9(0) = 27

4x = 27  

 x= 6.75  

Answer:

The exponent is 2. As a expression it is 1.6^2

Step-by-step explanation:

I don't really have an explanation its just common sense.

Answer:

(c)

Step-by-step explanation:

(c). Stopping for traffic

Answer:

Dimensions: 11 meters by 27 meters

2. [tex]76=2w+2(2w+5)[/tex]

Step-by-step explanation:

Finding Dimensions:

The perimeter of a rectangle can be written as [tex]2l+2w[/tex] where [tex]l[/tex] is the length and [tex]w[/tex] is the width. It is given that the length is 5 more than twice the length of width and the perimeter of the rectangle is 76 meters.

With this information we can write:

Length = [tex]2w+5[/tex]

[tex]2(2w+5)+2w = 76[/tex] (perimeter of the rectangle)

[tex]4w+10+2w=76[/tex]

[tex]6w=66[/tex]

[tex]w=11[/tex]

Length = [tex]2(11)+5[/tex]

Length = [tex]27[/tex]

∴ The dimensions of the rectangle is 11 meters by 27 meters.

Perimeter

Since the length can be written as [tex]2w+5[/tex], the equation that represents the perimeter of the rectangle is [tex]76=2w+2(2w+5)[/tex]

Answer:

8 2/3

Y-E-E-T

Step-by-step explanation:

-78 divded by (-9)

-78

-----

-9

there are negatives on both sides. I don't know how to explain that but you can change it to a PLUS.

78/9

divide 3 on both sides

78/3 =26

9/3=3

26/3 now.

so the mixed number would be 8 2/3

Answer:

Option a 8(4+2)

Step-by-step explanation:

32+16

=8*4+8*2

=8(4+2)

Answer:

8(4+2) ur welcome

Answer:

y= -5

Step-by-step explanation:

Answer:

-1/4y+2

Step-by-step explanation:

5-3=2

2/3-11/12=-1/4

Answer:

m<U = 120 degrees

Step-by-step explanation:

9x - 6 = 7x + 22

2x = 28

x = 14

m<U = 9(14) -6

m<U = 126 - 6

m<U = 120 degrees

Hope this helps!!!

Answer:

120

Step-by-step explanation:

U = W

(9x-6) = (7x+22)

SOLVE

subtract 7x from each side.

2x-6 = 22

add 6

2x = 28

divide by 2

x = 14

plug 14 into x and solve.

9(14)-6 = 120

7(14)+22 = 120

both angles are the same

hope that helped

Answer:

0.325 hits per bat

Step-by-step explanation:

13/40=0.325

Answer:

Step-by-step explanation:

600cm

Answer:

4 calories

Step-by-step explanation:

5 minutes equals 20 calories. 20 divide by 5 is 4. 1 minute equals 4 calories.

Answer:

6  2/3

Step-by-step explanation:

Answer:

the number of seconds that needed for the overall path length is 15 seconds

Step-by-step explanation:

The computation of the number of seconds that needed for the overall path length is shown below:

The tiny portion is 1 ÷ 20

And, the entire length is 20 ÷ 20

Now if 1 ÷ 20 is travelled in 3 ÷  4 path so the time needed is

= 20 × 3 ÷ 4

= 15 seconds

Hence, the number of seconds that needed for the overall path length is 15 seconds