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2 years ago

(20 points) Can somebody help me answer all of these;*(

Mathematics

1 answer:

Rzqust [24]2 years ago

8 0

Answer:

Mercury: 5.7 * 10^7 km

Venus: 1.08 * 10^8 km

Earth: 1.5 * 10^8 km

Mars: 2.28 * 10^8 km

Jupiter: 7.79 * 10^8 km

Saturn: 1.43 * 10^9 km

Uranus: 2.88 * 10^9 km

Neptune: 4.5 * 10^9 km

Step-by-step explanation:

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Add up all data values to get the sum

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2 years ago

The length of a rectangle is 9 feet more than the width. If the perimeter is 198 feet, what are the length and width?

stiks02 [169]

THE PERSON BELOW ME OR ABOVE ME IS CORRECT

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1 year ago

what is the probability of seeing a sample mean for 21 observations less or equal to the sample mean that we observed

kramer

Answer:

$P(x \le 21) = 0.69146$

Step-by-step explanation:

The missing parameters are:

$n = 64$ --- population

$\mu = 20$ --- population mean

$\sigma = 16$ -- population standard deviation

Required

$P(x \le 21)$

First, calculate the sample standard deviation

$\sigma_x = \frac{\sigma}{\sqrt n}$

$\sigma_x = \frac{16}{\sqrt {64}}$

$\sigma_x = \frac{16}{8}$

$\sigma_x = 2$

Next, calculate the sample mean $\bar_x$

$\bar x = \mu$

So:

$\bar x = 20$

So, we have:

$\sigma_x = 2$

$\bar x = 20$

$x = 21$

Calculate the z score

$x = \frac{x - \mu}{\sigma}$

$x = \frac{21 - 20}{2}$

$x = \frac{1}{2}$

$x = 0.50$

So, we have:

$P(x \le 21) = P(z \le 0.50)$

From the z table

$P(z \le 0.50) = 0.69146$

So:

$P(x \le 21) = 0.69146$

4 0

2 years ago

For the functions f(x) = 5x − 3 and g(x) = x + 4, which composition produces the greatest output?

Zina [86]

You could actually find the compositions and thus have something to compare. You haven't shared the list of possible answer choices.

(f+g)(x) = 5x - 3 + x + 4 = 6x + 1

(f-g)(x) = 5x - 3 - x - 4 = 4x - 7

(f*g)(x) = (5x-3)((x+4) = 5x^2 + 20x - 3x - 12 = 5x^2 + 17x - 12

There are also the quotient (f/g)(x) and the compositions f(g(x)) and g(f(x)).

WRite them out.

Then you could arbitrarily select x values, such as 2, 10, etc., subst. them into each composition and determine which output is greatest.

7 0

3 years ago