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andrey2020 [161]
2 years ago
7

If all people were pea pickers, then how long would it take for the entire population of Earth to pick 1 mol of peas at the rate

of one pea per second, working 15 hours per day, 365 days per year
Mathematics
1 answer:
Pavlova-9 [17]2 years ago
8 0

Answer:

Thats 1 times & 7 billion!

Step-by-step explanation:

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A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is function
Mashutka [201]

Answer:

a) P[ Pf | Ptd ]  = 0,428

b) P[ Pf | Nd ]  = 0,692

Step-by-step explanation:

We will call:

Pf  Probability of functioning correctly    60 %   or 0.6

Pfn  Probability of malfunctioning   40 %  or  0,4

PNd Probability of nondefective bulb

D₁  Probability of defective bulb when the process is correctly working

D₂  Probability of defective bulb when the process is in malfunction condition

Ptd Total probability of defective bulbs

Then applying theorem´s Bayes  have

P [ A | B ]  =  P(A) * P [ B | A ] / P(B)

a) Probabilty of the process is functioning correctly given that we pick up a defective bulb

The total probability of defective bulbs is equal to, probabilty of defective bulbs when the process is Ok, plus probability of defective bulbs when the process  is in malfunctioning condition, therefore

Ptd  = (0,6)*(0,25) + (0,40)*(0,50) = 0,15 * 0,20 = 0,35

P[ Pf | Ptd ]  =  Pf * P [ Pd | Pf ] / Ptd    =  0,6 * 0,25 / 0,35

P[ Pf | Ptd ]  = 0,428

b)  P [ Pf | Nd ]

P[ Pf | Nd ]  =  Pf *  P [Nd | Pf ] / PNd

PNd  = 1 - Ptd    =  1 - 0,35   =  0,65

P[ Pf | Nd ]  = 0,6 * 0,75 / 0,65   =  0,692

P[ Pf | Nd ]  = 0,692

6 0
2 years ago
85% of a number is added to 24, the result is the same number find the number. ​
hammer [34]

Answer:

160

Step-by-step explanation:

3 0
2 years ago
Susan is attending a talk at her son's school. There are 8 rows of 10chairs where 54 parents are sitting. Susan notices that eve
kozerog [31]

Answer:

The largest possible number of adjacent empty chairs in a single row is 3

Step-by-step explanation:

The parameters given are;

The number of chairs = 8 × 10 = 80 chairs

The number of parents = 54

Sitting arrangements of parents = Alone or to one other person

Therefore;

The maximum number of parents on a row = 1 + 1 + 0 + 1 + 1 + 0 + 1 + 1 + 0 + 1 = 7

Hence when the rows have the maximum number of parents occupying the seats we have for the 8 rows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 7 = 56

But there are only 54 parents, therefore, up to the 7th row will have 7 parents while the 8th row will have only 5 parents to make the possible sitting arrangement to be as follows;

7 + 7 + 7 + 7 + 7 + 7 + 7 + 5 = 54

The sitting arrangement for the 8th row is therefore

1 + 1 + 0 + 1 + 1 + 0 + 1 + 0 + 0 + 0

Hence there will be three empty seats in the 8th row making the largest possible number of adjacent empty chairs in a single row = 3.

4 0
2 years ago
a regular heptagon has a radius of approximately 27.87cm and the lengthof each side is 24.18cm. what is the approximate area of
Andre45 [30]
The Answer is B: 2,125 cm²


n = 7
a = 24.18 cm
r = 25.1051 cm
R = 27.8646 cm
A = 2124.65 cm²
P = 169.26 cm
x = 128.571 °
y = 51.4286 °


Agenda:
r = inradius (apothem)
R = circumradius 
a = side length
n = number of sides
x = interior angle
y = exterior angle 
A = area
P = perimeter
π = pi = 3.14159...
<span>√ = square root
</span>
Formula: A = (1/4)na2 cot(π/n) = nr2 tan(π/n)
3 0
2 years ago
Read 2 more answers
Calculate the expected gain or loss for Stock ABC. Lose $25 Gain $5 Gain $45 Stock ABC 40% | 15% | 45% Stock JKL| 15% | 65% | 20
Rainbow [258]

Answer:

$11

Step-by-step explanation:

\left\begin{array}{c|ccc}&$Lose \$25&$Gain \$5&$Gain \$45\\$Stock ABC&40\%&15\%&45\%\end{array}\right

We want to calculate the expected gain or loss of Stock ABC with the probabilities above.

Note that loss is written in negative.

E$xpected Value =$ (-25  \times 40\%)+(5  \times 15\%) + (45  \times  45\%)\\=(-25 \times 0.4)+(5 \times 0.15)+(45 \times 0.45)\\=-10+0.75+20.25\\=\$11

Stock ABC has an expected gain of $11.

8 0
2 years ago
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