Ask question

Ask question

All categories

2 years ago

11

You used a telescope and other mathematics to discover that Jupiter is 5.20 au from the sun. Use the equation to find its orbita

l period. Round to the nearest tenth of a year.

1 answer:

diamong [38]2 years ago

5 0

Answer:

11.9 au

Step-by-step explanation:

You might be interested in

A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x &

Karolina [17]

Any proper CDF $F(x)$ has the properties

• $\displaystyle \lim_{x\to-\infty} F(x) = 0$

• $\displaystyle \lim_{x\to+\infty} F(x) = 1$

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

$\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1$

and so

$\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0$

$\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1$

8 0

2 years ago

Which is true? 0.9030>0.8736 1.3432<1.2678 10.7495 > 10.7594 1.003<0.9784

alisha [4.7K]

0.9030 > 0.8736
0.9 > 0.8
so your first option is correct

4 0

3 years ago

Read 2 more answers

An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that $n = 48$

The probability that any integrated circuit is defective is 0.01.

This means that $p = 0.01$

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173$

0.6173 = 61.73% probability that the product operates.

5 0

3 years ago

How to make 9 2/5 into a improper fraction and plz show your work because my brain is not that smart

aliina [53]

Answer:

47/5

Step-by-step explanation:

First step: multiply the denominator (bottom of the fraction) of the fraction by the whole number.

5*9 = 45

Second Step: add the numerator

45 + 2 = 47

Third step: Put the result over the denominator.

47/5

5 0

3 years ago

A circular coaster has a diameter of 5 inches. What is its area? write your answer using π.

Verizon [17]

Answer:

Step-by-step explanation:

Diameter=5 inches

Area= π $r^{2}$

<u>r is the radius of coaster.</u>

<u>Radius=diameter/2</u>

Substitute the value of D:

r=5/2

Now

Area=π $\frac{5}{2} ^{2}$

Area=π( $\frac{25}{2}$ )

Area=12.5π sq.inches

<h3><u>If you need to ask any questions, please let me know.</u></h3>

4 0

2 years ago