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2 years ago

A 90-foot rope from the top of a tree house to the ground forms a 45° angle of elevation from the ground. How high is the top of

Mathematics

1 answer:

-Dominant- [34]2 years ago

6 0

Answer:

63.6 feet

Step-by-step explanation:

$sin (45)=\frac{x}{90}$
$x=90 sin (45)$
$x=45\sqrt{2}$
x = 63.6 feet

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2 years ago

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3 years ago

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lapo4ka [179]

Answer:

P( top two horses are predicted incorrectly in incorrect order)

= $\frac{1}{2}$

Step-by-step explanation:

In the horse race the outcome can be predicted in 5! = 120 ways.

Now suppose the top two horses were predicted incorrectly in incorrect order. Now, the top horse can be predicted incorrectly in 4 ways.

Suppose the top horse was predicted to be in k-th position where k = 2, 3 ,4,5

so the second horse can be predicted to be in place from 1 to (k - 1)

So, the top two horses can be predicted incorrectly in incorrect order

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and for each prediction of the two the remaining horses may be predicted in 3! = 6 ways.

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3 years ago

A packet of garden seeds contains 250 seeds. The information printed on the packet indicates that the germination rate for this

Westkost [7]

Answer:

Expectation=240

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Step-by-step explanation:

This is a binomial probability function with n=250 and probability of success is 96%

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$E(X)=np\\\\=250\times 0.96\\\\=240$

Hence, the expected germination is 240 seeds

b. From a above, we have the value of p=0.96 and n=250.

The standard deviation of germination is therefore calculated using the formula:

$\sigma=\sqrt{np(1-p)}, \ \ \ \\\\=\sqrt{250\times 0.96(1-0.96)}\\\\\\=3.098$

Hence, the standard deviation of germination is 3.098

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