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mojhsa [17]
3 years ago
11

Richard goes on a 6-mile jog one morning. He jogs the first two miles at an average speed of 6 mph. He progressively slows down;

his average speed during the next two miles is 4 mph. He walks the remaining two miles at an average speed of 3 mph. What is Richard's average speed, in miles per hour?
Mathematics
1 answer:
uysha [10]3 years ago
7 0

Answer:

Average speed = 4 mph

Step-by-step explanation:

Given as

Total distance to travel = 6 mile

now, for first 2 mile the avg speed = 6 mph

for next 2 mile the avg speed = 4 mph

and for rest 2 mile the avg speed = 3 mph

so,  the average speed of the Richard = \frac{3}{\frac{1}{6}+\frac{1}{4}+ \frac{1}{3}  }

Total Avg speed = \frac{3}{\frac{9}{12} }

Or,                       = \frac{3}{9}×12

                           = 4

So the total Average speed = 4 mph         (Answer)

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How does sample size affect determinations of statistical significance? The smaller the sample size, the more confident one can
marin [14]

Answer:

The larger the sample size, the more accurate the estimation of the true population value.

Step-by-step explanation:

  • As large will be the sample size more data will be shown and more are the c c changes of it being an estimate of a true population. The sample size can be determined on the basis of use of experience, target variance, confidence level, and target for power.
7 0
3 years ago
Which statement correctly compares the average number of eggs laid per day for each barn?
kicyunya [14]

By taking the average number of eggs for both barns, we will see that the correct option is A.

<h3>How to get the average?</h3>

For a set of N elements {x₁, x₂, ..., xₙ} the mean is given by:

M = \frac{x_1 + x_2 + ... + x_n}{N}

For barn 1, the set is {2, 5, 5, 6}

So the mean is:

M1 = (2 + 5 + 5 + 6)/4 = 4.5

For the barn 2, the set is {3, 6, 8, 9}

So the mean is:

M2 = (3 + 6 + 8 + 9)/4 = 6.5

Now, taking the quantity 100%(M2 - M1)/M1 we get:

100%*(6.5 - 4.5)/4.5 = 44%

So the average in barn 2 is around 50% larger than the average in barn 1. Then the correct option is A.

If you want to learn more about averages, you can read:

brainly.com/question/20118982

5 0
3 years ago
Simplify<br> (3^5)^2/3^-2<br> Answer Options:<br> 3^9<br> 3^8<br> 3^10<br> 3^12
jek_recluse [69]
3^8 that is the answer
3 0
3 years ago
A) The flower shop was having a sale where each flower was $3. if emily bought two roses how much money did she spend?
Dahasolnce [82]

A. The answer is 6$ because 3 x 2 is 6

B. The answer is 12

7 0
3 years ago
Jaclyn plays singles for the varsity tennis team where she won the sudden death tie breaker point with a cross-court passing sho
podryga [215]

Answer:

Incomplete question

Complete question: Jaclyn plays singles for South's varsity tennis team. During the match against North, Jaclyn won the sudden death tiebreaker point with a cross-court passing shot. The 57.5-gram ball hit her racket with a northward velocity of 26.7 m/s. Upon impact with her 331-gram racket, the ball rebounded in the exact opposite direction (and along the same general trajectory) with a speed of 29.5 m/s.

a. Determine the pre-collision momentum of the ball.

b. Determine the post-collision momentum of the ball.

c. Determine the momentum change of the ball.

Answer:

A. 1.5353kgm/s

B. 1.6963kgm/s

C. 0.161kgm/s

Step-by-step explanation:

A. The pre-collision momentum of the ball = mass of ball × velocity of ball

Mass of ball = 57.5g = 0.0575kg

Velocity of ball = 26.7m/s

Pre-collision momentum of ball = 0.0575×26.7

= 1.5353kgm/s

B. Post collision momentum of the ball = mass of ball × velocity of ball after impact

Velocity of ball after impact = 29.5m/s

Post collision momentum of ball after impact = 0.0575×29.5

= 1.6963kgm/s

C. Momentum change of ball = momentum after impact - momentum before imlact

= 1.6963kgm/s - 1.5353kgm/s

= 0.161kgm/s

7 0
3 years ago
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