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Furkat [3]
3 years ago
5

A motorist travels 90 miles at a rate of 20 miles per hour. If he returns the same distance at a rate of 40 miles per hour, what

is the average speed for the entire trip, in miles per hour? (Explain)
Mathematics
1 answer:
HACTEHA [7]3 years ago
6 0

Answer:

  26 2/3

Step-by-step explanation:

Average speed is total distance divided by total time.

The time for the first trip was ...

  (90 mi)/(20 mi/h) = 4.5 h

The time for the return trip was ...

  (90 mi)/(40 mi/h) = 2.25 h

Then the average for the trip and return is ...

  total miles/total time = (90 +90)/(4.5 +2.25) = 26 2/3 . . . . mi/h

The average speed for the round trip was 26 2/3 miles per hour.

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. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation ti
Paul [167]

Answer:

Step-by-step explanation:

Given that the  mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

Let X be the incubation time for a type of fertilized egg kept at a certain temperature is 25 days.

X is N(25, 1)

a) Normal curve is in the attached file

b) the probability that a randomly selected fertilized egg hatches in less than 23 days

=P(X

we convert x into Z score and use std normal distn table to find probability

P(X

i.e. we can say only 2.5% proportion will hatch in less than 23 days.

8 0
3 years ago
Sean has two single accounts at Corona Bank. One account has a balance of $174,898.09 and the
klasskru [66]
$452898.08 is the answer
3 0
3 years ago
Shane marched 3 m East and 6 m north. How far is he from his starting point. Round your answer to the nearest tenth.
Dennis_Churaev [7]

Answer:

The distance from his starting point is  <u>6.7 m</u>.

Step-by-step explanation:

Given:

Shane marched 3 m East and 6 m north.

Now, to get the distance from his starting point.

Let the distance from the starting point be x.

Now, to solve using pythagorean theorem:

AB^2+BC^2=AC^2

6^2+3^2=x^2

36+9=x^2

45=x^2

<em>Using square root on both sides we get:</em>

6.71=x\\\\x=6.71\ m.

<u>So, the distance from the starting point nearest to tenth is 6.7 m.</u>

Therefore, he is 6.7 m from his starting point.

6 0
3 years ago
What does x equal in 1/3(6-9x)=-1/5(15x-10)?​
Darya [45]

Answer:

True for all x.

Step-by-step explanation:

1. Expand 1/3(6-9x)

2-3x

2. Expand -1/5(15x-10)

-3x+2

3. Subtract 2 from both sides.

2-3x-2 = -3x+2-2

4. Simplify.

-3x = -3x

5. Add 3x to both sides.

-3x + -3x = -3x + -3x

6. Simplify.

0=0

Both sides are equal, so it is true for all x.

4 0
3 years ago
Paula, Joanne, and Mary own a total of 16 dogs, among which are 3 poodles, twice that many cocker
amm1812

Answer:

2

Step-by-step explanation:

4 0
3 years ago
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