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2 years ago

The addition law is potentially helpful when we are interested in computing the probability of

Mathematics

1 answer:

AleksandrR [38]2 years ago

4 0

Answer:

The union of two event

Step-by-step explanation:

Addition law of probability define that probability of two event is total sum of probability of any event subtract the probability of both events

There are two rules in addition law:

Addition law 1 - when both event are mutually exclusive, then probability of either event is the sum of each event probability.

P( A or B) = P(A) +P(B)

Addition law 2 - when both events are non mutually exclusive then there in addition to the individual probability there is some overlap .

P( A or B) = P(A) +P(B) - P(A and B)

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A farmer has 20 acres to plant in wheat and barley. He has to plant at least 15 acres. Wheat costs $200 per acre to plant and ba

maria [59]

Answer:

16 acres of barley only (no acres of wheat)

Step-by-step explanation:

A graph shows cost of planting puts an upper limit on planted area. The lower limit is provided by the requirement to plant at least 15 acres. The vertices of the feasible solution region are ...

(wheat acres, barley acres) = {(0, 15), (0, 16), (3, 12)}

The profit associated with these scenarios will be ...

for (0, 16): 16·350 = 5600

for (3, 12): 3·450 +12·350 = 1350 +4200 = 5550

To maximize profit, the farmer should plant 16 acres of barley.

4 0

3 years ago

David likes to enter bike races on weekends. He can bike 42 ½ miles in 2 ½ hours. How many miles can he ride in just one hour? g

Rudiy27

Answer:

17 miles in 1 hour

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The length of a kitchen wall is 24 2/3 feet long. A border will be placed along the wall of the kitchen. If the border strips ar

krek1111 [17]

Total length of the kitchen wall = 24 2/3 feet.

Let us convert 24 2/3 feet into improper fracion.

24 2/3 = (24*3+2)/3 = 74/3 feet.

Length of each strip = 1 3/4 feet.

Let us convert 1/3/4 feet in improper fracion.

1 3/4 feet = (1*4+3)/4 = 7/4 feet.

Total number of strips required = (Total length of the kitchen wall) ÷ (Length of each strip)

= 74/3 feet ÷ 7/4 feet.

Let us convert division sign into multiplication, we get

74/3 × 4/7.

Multiplying across, we get

296/21.

On dividing 296 by 21, we get 14.09 approximately.

14.09 represents more than 14.

So, we can round it to the next whole number, that is 15.

Therefore, 15 strips of border are needed.

5 0

2 years ago

If an image of a triangle is congruent to the pre-image, what is the scale factor of the dilation?

zhannawk [14.2K]

Answer:

Step-by-step explanation:

A dilation of .1 or 1/2 would decrease the size. Since the numbers are smaller than zero the triangles would no longer be congruent. A dilation of 10 would increase the size of the triangle, causing the triangles to no longer be congruent. A scale fact of one is equivalent to the same size because 1 does not increase or decrease the size.

8 0

3 years ago

Read 2 more answers

Which equation justifies why ten to the one third power equals the cube root of ten?

son4ous [18]

Answer:

Step-by-step explanation:

$(a^{m})^{n}=a^{mn}.\ \text{Hence option b will be correct.}$

6 0

3 years ago

Read 2 more answers