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3 years ago

13

The average distance from Jupiter to the sun is four hundred eighty-three million, six hundred thousand miles. Write the number

that shows this distance in miles.

1 answer:

Anna35 [415]3 years ago

5 0

483,600,000 miles

4 - hundred millions place

8 - ten millions place

3 - millions place

6 - hundred thousands place

0 - ten thousands, thousands, hundreds, tens, and ones place

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for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep

Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

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

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

$T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000$

1,404,000 different plates possible.

4 0

3 years ago

What is the surface area of the rectangular prism below?

pickupchik [31]

Answer:

SA: 38

Step-by-step explanation:

3 + 12 + 3 + 4 + 16 =

15 + 7 + 16 =

22 + 16 =

38

6 0

2 years ago

I need a Tutor and Help with this question

valkas [14]

Answer:

x=31

y=6

Step-by-step explanation:

2x+3y=80

x+y=37

solve by elimination:( multiply second equation by 2) to eliminate x

2x+3y=80

2x+2y=74

subtract the two equations:

2x+3y-(3x+2y)=80-74

2x+3y-3x-2y=6

y=6 (3 point basket)

substitute: x+y=37, x=37-6=31

x=31 (2 point shot)

4 0

3 years ago

Read 2 more answers

Convert the following equation to slope-intercept form y+5=1/2(x-8)

alexandr402 [8]

Answer: y = 1/2x - 9

Step-by-step explanation:

y + 5 = 1/2(x - 8)
y + 5 = 1/2x - 4 (distribute)
y = 1/2x - 9 (subtract 5 from both sides)

4 0

2 years ago

The random variable X is exponentially distributed, where X represents the waiting time to be seated at a restaurant during the

erastova [34]

Answer:

The probability that the wait time is greater than 14 minutes is 0.4786.

Step-by-step explanation:

The random variable <em>X</em> is defined as the waiting time to be seated at a restaurant during the evening.

The average waiting time is, <em>β</em> = 19 minutes.

The random variable <em>X</em> follows an Exponential distribution with parameter $\lambda=\frac{1}{\beta}=\frac{1}{19}$ .

The probability distribution function of <em>X</em> is:

$f(x)=\lambda e^{-\lambda x};\ x=0,1,2,3...$

Compute the value of the event (<em>X</em> > 14) as follows:

$P(X>14)=\int\limits^{\infty}_{14} {\lambda e^{-\lambda x}} \, dx=\lambda \int\limits^{\infty}_{14} {e^{-\lambda x}} \, dx\\=\lambda |\frac{e^{-\lambda x}}{-\lambda}|^{\infty}_{14}=e^{-\frac{1}{19} \times14}-0\\=0.4786$

Thus, the probability that the wait time is greater than 14 minutes is 0.4786.

7 0

3 years ago