3 years ago

Evaluate cos 150° without using a calculator.

Mathematics

1 answer:

Readme [11.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

It would be greatly appreciated if you gave me brainlest.

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3 years ago

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Seventy-six percent of sunflower seeds will germinate into a flower, and a sample of 800 such sunflower seeds is randomly select

ollegr [7]

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Seventy-six percent of sunflower seeds will germinate into a flower

This means that $p = 0.76$

Samples of 800:

This means that $n = 800$

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

$\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08$

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3 years ago

The scale drawing of a backyard includes a tennis court 10cm x 5.5cm. If the drawing has a scale

Natasha2012 [34]

Step-by-step explanation:

2.5 m = 250 cm

so, the scale factor is 1/250

that means the tennis court is in reality

10×250cm × 5.5×250cm = 2500 × 1375 = 3,437,500 cm²

1 m² = 100×100 = 10,000 cm²

so,

3,437,500 cm² = 343.75 m²

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3 years ago

John is painting parallel lines in the parking lot to create parking spaces. The measure of angle A is 60°. What is the measure

ohaa [14]

If you're on Plato, the answer is 60.

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3 years ago