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3 years ago

What is the length of the major axis? x^2/16+y^2/25=1

1 answer:

6 0

The general equation of an ellipse is

x^2 y^2
--- + ---- = 1
a^2 b^2

where a or b is the semi-major axis depending on values of a^2 and b^2.

So for our ellipse major axis = 2b and b^2 = 25 and b = 5

And major axis = 2b = 2*5 = 10 answer.

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The answer is 12 miles per hour

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3 years ago

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A grab bag contains 12 packages worth $.70 each, 15 packages $.40 cents each, and 25 packages worth $.30 each. what is the expec

Salsk061 [2.6K]

The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.

<h3>What is the mean of a discrete distribution?</h3>

The expected value of a discrete distribution is given by the <u>sum of each outcome multiplied by it's respective probability</u>.

For this problem, considering the cost of $0.5, the distribution is given as follows:

P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.

P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.

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Hence the expected value is given by:

E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.

More can be learned about the expected value of a discrete distribution at brainly.com/question/13008984

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2 years ago

What is the square root of 841

mars1129 [50]

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4 years ago

Write the expression as the sine or cosine of an angle sin(pi/7) cos(x) + cos(pi/7) sin(x)

Natasha_Volkova [10]

Answer:

$\sin(\frac{\pi}{7}+x)$

Step-by-step explanation:

We are going to use the identity

$\sin(a+b)=\sin(a)\cos(b)+\cos(a)\sin(b)$

because this identities right hand side matches your expression where

$a=\frac{\pi}{7}$ and $b=x$ .

So we have that $\sin(\frac{\pi}{7})\cos(x)+\cos(\frac{\pi}{7})\sin(x)$ is equal to $\sin(\frac{\pi}{7}+x)$ .

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4 years ago

Justine correctly multipled the decials shown. How can the product be correct without three decial places 8.5 x 2.34 = 19.89

Sloan [31]

Answer:

The answer is "19.89".

Step-by-step explanation:

Given:

$\to 8.5 \times 2.34$

Solution:

$8.5 \times 2.34 \\-----\\$

$340 \\$

$255 \times$

$\\ 17 0\times \times$

$-------\\$

$19.890$

$\to 19.890 \approx 19.89$

that's why the answer is correct.

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3 years ago