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viktelen [127]
3 years ago
15

One astronomical unit is about 93,000,000 miles. At 20,000 miles per hour how many astronomical units can Orion travel? ( Orion

is a spacecraft that reached speeds of 20,000 miles per hour)
Mathematics
1 answer:
uranmaximum [27]3 years ago
4 0

Answer:

2.15\times 10^{-4}\ AU

Step-by-step explanation:

Given that:-

The speed of the orion= 20,000 miles per hour

Time = 1 hour ( From source )

Thus,

Distance = Speed * Time = 20,000*1 miles = 20,000 miles

Thus, in 1 hour, the orion can travel 20,000 miles

Also,

93,000,000 miles = 1 astronomical unit

1 mile = 1/93,000,000 astronomical unit

20,000 miles = (1/93,000,000)*20,000 astronomical unit

<u>The orion can travel 2.15\times 10^{-4} AU in one hour.</u>

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The tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,000
valina [46]

Answer: 61,750 miles

Step-by-step explanation:

Given : The p-value of the tires to outlast the warranty = 0.96

The probability that corresponds to 0.96 from a Normal distribution table is 1.75.

Mean : \mu=60,000\text{ miles}

Standard deviation : \sigma=1000\text{ miles}

The formula for z-score is given by  : -

z=\dfrac{x-\mu}{\sigma}\\\\\Rightarrow\ 1.75=\dfrac{x-60000}{1000}\\\\\Rightarrow\ x-60000=1750\\\\\Rightarrow\ x=61750

Hence, the tread life of tire should be 61,750 miles if they want 96% of the tires to outlast the warranty.

3 0
3 years ago
Multiply 6/5 by the reciprocal of (-3/8)
weeeeeb [17]

Answer:

-48/15, simplified to -16/5

Step-by-step explanation:

The reciprocal of -3/8 is -8/3. So the equation will be 6/5 x -8/3. Multiply numerators then multiply denominators to get -48/15. This can simplify to -16/5 by dividing both by 3.

4 0
3 years ago
Read 2 more answers
Rewrite the expression in the form 6^n 6^-6/6^-5
oee [108]

Answer:

6^-1

Step-by-step explanation:

6^-6 - (-5) = 6^(-6 + 5) = 6^(-1)

A lot of things are going on in this question. Notice how the 5 is handled. It starts off in the denominator as - 5 and when brought to the numerator it becomes -(-5) which makes it + 5.

The answer is then easy. It is 6^(-6 + 5) = 6^-1

You could give the answer as 1/6 but that is not what the question says.

8 0
3 years ago
If you can buy 1⁄4 pizza for 5 dollars, how much can you purchase for 8 dollars? Write your answer as a fraction.
Murrr4er [49]

Answer:1/5 you can buy 1/5

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ASAP!!!!!<br><br> Rewrite the expression 20x + 25 as the product of two factors.
GaryK [48]

Answer:

<em>5 (4 x + 5)</em>

That is the answer

5 is a factor if 20 and 25 and 4x + 5 cannot be furthor be simplified.

5 0
3 years ago
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