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Dmitriy789 [7]
3 years ago
12

A botanist has developed a new hybrid cotton plant that can withstand insects better than other cotton plants. However, there is

some concern about the germination of seeds from the new plant. To estimate the probability that a seed from the new plant will germinate, a random sample of 3000 seeds was planted in warm, moist soil. Of these seeds, 2200 germinated. (a) Use relative frequencies to estimate the probability that a seed will germinate. What is your estimate? (Enter your answer to 3 decimal places.)
Mathematics
1 answer:
True [87]3 years ago
6 0

Answer:

n = 3000 seeds planted in the farm

From these 3000 we know that only 2200 germinated

In order to determine the probability that a seed will germinate we can use the definition of probability given by:

p =\frac{Possible}{Total}

From this definition we need to divide the possible cases by the total cases and for this case if we replace we got:

p =\frac{2200}{3000}= 0.733

So then the probability that the seed will germinate is 0.733 from the sample data obtained

Step-by-step explanation:

For this case we know that the sample size is:

n = 3000 seeds planted in the farm

From these 3000 we know that only 2200 germinated

In order to determine the probability that a seed will germinate we can use the definition of probability given by:

p =\frac{Possible}{Total}

From this definition we need to divide the possible cases by the total cases and for this case if we replace we got:

p =\frac{2200}{3000}= 0.733

So then the probability that the seed will germinate is 0.733 from the sample data obtained

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Vance is designing a garden in the shape of an isosceles triangle. The base of the garden is 30 feet long. The function y = 15 t
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Answer:

Part 1) The height of the triangle when θ = 30° is equal to 8.66\ ft

Part 2) The height of the triangle when θ = 40° is equal to 12.59\ ft

Part 3) The area of triangle with θ = 30° is less than the area of triangle with θ = 40°

Step-by-step explanation:

Part 1) What is the height of the triangle when θ = 30 ° ?

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Part 2) What is the height of the triangle when θ = 40 ° ?

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y=15tan(\theta)

substitute the value of theta in the equation and find the height

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Part 2) Vance is considering using either θ = 30 ° or θ = 40 ° for his garden

Compare the areas of the two possible gardens

step 1

Find the area when θ = 30 °

The height is 8.66\ ft

Remember that the area of a triangle  is equal to the base multiplied by the height and divided by two

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A=(1/2)(30)(8.66)=129.9\ ft^{2}

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The height is 12.59\ ft

Remember that the area of a triangle  is equal to the base multiplied by the height and divided by two

so

A=(1/2)(30)(12.59)=188.85\ ft^{2}

Compare the areas of the two possible gardens

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