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3 years ago

7

The Voyager 2 space probe took 2 years to make its closest approach to Jupiter. How many months did it take Voyager 2 to reach J

upiter? (1 year = 12 months)

2 answers:

slava [35]3 years ago

8 0

24 months. Division is how we solve this problem. 2 years divided months equals 24 months

Tom [10]3 years ago

7 0

It would be 24 months

You might be interested in

Find the values of x any y.

Ede4ka [16]

There are so many types of angles, let's see what we've got here!

--(5x - 17) and 48 are alternate interior angles, which means that they are congruent.

--(5x - 17) and y are supplementary angles.

--48 and y are same-side interior angles, which means that they are also supplementary.

Let's solve for x first.

5x - 17 = 48

5x = 65

x = 13

Now, let's solve for y.

48 + y = 180

y = 132

Hope this helps!! :)

5 0

3 years ago

nventing is a difficult way to make money. Only 5% of new patents earn a substantial profit. A certain city has just had30 indep

Arlecino [84]

Answer:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=30, p=0.05)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

Solution to the problem

For this case we want this probability:

$P(X \geq 2)$

And we can use the complement rule and we got:

$P(X \geq 2) = 1-P(X$

And we can find the individual probabilities using the probability mass function and we got:

$P(X=0) = (30C0) (0.05)^0 (1-0.05)^{30-0} =0.2146$

$P(X=1) = (30C1) (0.05)^1 (1-0.05)^{30-1} = 0.3389$

And replacing we got:

$P(X \geq 2) = 1-P(X$

3 0

3 years ago

In the following equation, a and b are both integers. a(3x-8)=b -18x

zaharov [31]

The value of a is -6
The value of b is 48

8 0

3 years ago

Read 2 more answers

Mr.james runs a petting zoo. he records the number of visitors each week,v, t weeks, after opening the petting zoo. according to

melisa1 [442]

Answer:

$\large \boxed{\text{19 visitors/mo}}$

Step-by-step explanation:

The average rate of change is the change in the number of visitors divided by the change in the number of months.

1. Change in number of visitors

Change in visitors = 182 -125 = 57 visitors

2. Change in number of weeks

Change in time = 5 - 2 = 3 months

3. Average rate of change

$\begin{array}{rcl}\text{Average rate of change} &= &\dfrac{\text{change in visitors}}{\text{change in months}}\\\\&= &\dfrac{\text{57 visitors}}{\text{3 mo}}\\\\& = & \textbf{19 visitors/mo}\\\end{array}\\\text{The average rate of change is $\large \boxed{\textbf{19 visitors/mo}}$}$

5 0

4 years ago

Of the 250 students at Moreland middle school, 80% ride the bus to school. Monica wants to know the number of students that ride

LekaFEV [45]

You would put 80 x
—- = ——
250 100

So those are fractions^
The first thing you do here is cross-multiply. (It doesn’t matter which sides you multiply together first)
So 250 times x= 250x
Then cross multiply 80 and 100 to get:
8,000
You now have ur new equation:
250x=8,000
The next thing you do here is divide both sides by 250, since 250 is the number with a variable in it (aka “x”)
You then get:
32 students as you’re final answer.
I hope that helped you understand !

7 0

3 years ago