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3 years ago

Lanas avarage step length is about 0.5 meters. How many steps will she need to finish the race? (5 KILMEMETER RACE)

Mathematics

1 answer:

Alex Ar [27]3 years ago

4 0

The length of the race is 5 kilometers.
5 kilometers equals 5000 meters.

Since Lana's avarege step length is about 0.5 meters, we need to divide 5000 by 0.5

$Steps = \frac{5000}{0.5} = 10000$

Hence, Lana needs to take about 10000 steps.

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80% of an airline's flights depart on-time and 20% do not. Of those that depart on-time, 95% arrive on-time. Of those that depar

Dmitry_Shevchenko [17]

Answer:

0.78

Step-by-step explanation:

given that 80% of an airline's flights depart on-time and 20% do not.

Of those that depart on-time, 95% arrive on-time. Of those that depart late, 10% arrive on-time

Let A be the event that flight departs on time.

Now A and A' are mutually exclusive and exhaustive

Let B be the event the flight arrives on time

Using total probability calculation we have

the chance of someone taking a flight that will arrive on-time

= P(B)

= $P(A)+P(A'B)\\= 0.80(0.95) +0.20(0.10)\\= 0.76+0.02\\=0.78$

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3 years ago

Anyone willing to help? Surprise included

AveGali [126]

Answer:

An arithmetic sequence has a constant difference between each term.

For example: 2,4,6,8,10,12,…

We can see clearly that all the terms differ by +2.

We call this the common difference, d.

A geometric sequence has a constant ratio (multiplier) between each term.

An example is: 2,4,8,16,32,…

So to find the next term in the sequence we would multiply the previous term by 2.

This is called the common ratio, r.

These sequences are closely related as they both have the same first term, but I hope you can see how different they become if they have a common difference or a common ratio.

We can create a decreasing arithmetic sequence by choosing a negative common difference.

Similarly, a decreasing geometric sequence would have a common ratio of less than 1.

Step-by-step explanation:

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3 years ago

Write each expanded expression as a power.<br> 1.7 x 1.7 x 1.7 =

zhuklara [117]

Answer:

1.7^3

Step-by-step explanation:

i cannot see your answer options so I hope this helps!!!!

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3 years ago

Write a real world situation that could be represented by the equation shown below y= -10x - 15

stich3 [128]

Example (not a very likely example, however):

At 11 pm the temperature is -15 degrees F, and it continues to drop by 10 degrees F every hour.

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3 years ago

A certain university has 18 vehicles available for use by faculty and staff. Five of these are vans and 13 are cars. On a partic

Reil [10]

Answer:

$P(E) = 0.278$

$P(F |E) = 0.2353$

$P(E and F) = 0.0654$

Step-by-step explanation:

The number of vehicles available is $N = 18$

The number of vans is k = 5

The number of cars is n = 13

Generally P(E) is mathematically represented as

$P(E) = \frac{k}{N}$

=> $P(E) = \frac{5}{18}$

=> $P(E) = 0.278$

Generally P(F| E) means the probability that the second vehicle assigned is a van given that the first one selected is a van this mathematically calculated as

$P(F |E) = \frac{5 -1}{18-1}$