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Komok [63]
3 years ago
5

Alina is able to swim at a rate of about 2.5 miles per hour. Talia is able to swim at a rate of 1.8 meters per second. Which sta

tement comparing the two swimmers is accurate?
1 mile 1,609 meters

Alina swims about 0.7 miles per hour faster than Talia.
Talia swims about 0.7 miles per hour faster than Alina.
Alina swims about 1.5 miles per hour faster than Talia.
Talia swims about 1.5 miles per hour faster than Alina. pls help
Mathematics
2 answers:
frosja888 [35]3 years ago
7 0
The answer is 
(D) Talia swims about 1.5 miles per hour faster than Alina.
Levart [38]3 years ago
4 0

Answer:  

Talia swims about 1.5 miles per hour faster than Alina.

Step-by-step explanation:

Since, 1 miles = 1609 meter and 1 hour = 60 seconds,

⇒ \text{ 1 miles per hour } = \frac{1609}{3600}\text{ meter per seconds}

⇒ \text{ 1 meter per seconds } = \frac{3600}{1609}\text{ miles per hours}

Here, The speed of Alina = 2.5 miles per hour = 2.5 × 1609/3600

=\frac{4022.5}{3600} \text{ meter per seconds }

=1.11736111\text{ meter per seconds}

And, the speed of Talia = 1.8 meter per second,

Since 1.8  > 1.11736111

⇒ Talia swims faster than Alina.

And, the difference between their speeds = 1.8 - 1.11736111 = 0.68263889 meter per seconds

= 0.68263889× 3600/1609 miles per hour

= 1.52734618 miles per hour ≈ 1.5 miles per hour ,

⇒ Fourth option is correct.

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Viefleur [7K]
Kinetic energy possessed by moving train is E_k = 150000J.

And mass m = 10000kg.

The formula for kinetic energy is E_k = \frac{m\times v^2}{2}.

Solve for velocity:

E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2

v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}

Now put in the data:

v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}
5 0
3 years ago
A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each
Nikolay [14]

Answer:

brainly.com/question/12896085

Step-by-step explanation:

hope that helps

7 0
3 years ago
IQ scores on the WAIS test approximate a normal curve with a mean of 100 and a standard deviation of 15. What IQ score is identi
riadik2000 [5.3K]

Answer:

IQ scores of at least 130.81 are identified with the upper 2%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 100 and a standard deviation of 15.

This means that \mu = 100, \sigma = 15

What IQ score is identified with the upper 2%?

IQ scores of at least the 100 - 2 = 98th percentile, which is X when Z has a p-value of 0.98, so X when Z = 2.054.

Z = \frac{X - \mu}{\sigma}

2.054 = \frac{X - 100}{15}

X - 100 = 15*2.054

X = 130.81

IQ scores of at least 130.81 are identified with the upper 2%.

7 0
3 years ago
Please help asap <br><br> giving brainliests
Oliga [24]

Answer:

12

Step-by-step explanation:

We can count the cubes.

One the right side there are 3 rows of 2 cubes each which is 6

There are 2 sets of identical " sets" of blocks

2*6 = 12

There are 12 blocks

8 0
4 years ago
64 POINTS
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t=time in hours,
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(2,8)
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(4,7)
(5,6.5)
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(B) it is a function because none of the x-values duplicate, (nor the y-values).

(C) If the rate changes to 0.45 "/hr, the relation is still linear.
All linear function with finite slope are functions.

7 0
3 years ago
Read 2 more answers
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