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ivanzaharov
3 days ago
10

A team of swimmers is training for a swim meet. The table shows the number of laps each person has swum so far and how long the

laps took. Name Laps Time (minutes) Jonathan 2 4 Julian 1 1 Seth 3 6 Bennett 7 21 Taylor 4 7 The relationship between time and the number of laps is not proportional across all swimmers. Which two swimmers swam at the same rate (had time and laps in the same proportion)?
Mathematics
2 answers:
lawyer [4K]3 days ago
6 0
Both Jonathan and Seth completed their laps in 2 minutes each.
AnnZ [3.8K]3 days ago
3 0

Answer:

Jonathan and Seth share the same swimming rate.

Explanation:

First, we'll determine the rate for each swimmer by calculating the ratio \frac{laps}{minutes} and making comparisons.

1- Jonathan:

He swam 2 laps in 4 minutes. This indicates that:

\frac{laps}{minutes} = \frac{2}{4} = \frac{1}{2} laps/minute

2- Julian:

He swam 1 lap in 1 minute. This indicates that:

\frac{laps}{minutes} = \frac{1}{1} = 1 lap/minute

3- Seth:

He completed 3 laps in 6 minutes. This indicates that:

\frac{laps}{minutes} = \frac{3}{6} = \frac{1}{2} laps/minute

4- Bennett:

He swam 7 laps in 21 minutes. This indicates that:

\frac{laps}{minutes} = \frac{7}{21} = \frac{1}{3} laps/minute

5- Taylor:

He completed 4 laps in 7 minutes. This indicates that:

\frac{laps}{minutes} = \frac{4}{7} laps/minute

By comparing the rates previously calculated, we conclude that:

Both Jonathan and Seth have identical rates.

I hope this clarifies things for you:)

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Matt invested $1500 into a stock of his choice. After two years, he had received
Leona [4166]

For this query, the time presented seems unclear to me. I understand that the rate of return is determined by total return over the investment. Assuming Matt received $400 as dividends without reinvesting them into additional shares, his total return across two years amounted to $500. Conversely, if the dividends were reinvested into the stock—something that typically happens with a 401(k) or IRA—his ROI would render a mere 6% due to only a $100 gain on a $1500 investment. In an actual market scenario, it’s likely that Matt would have experienced about a 5% return on a solid stock, while Bella would have had approximately 0.05% from a savings account.

I hope this was helpful!;)

3 0
10 days ago
Three people toss a fair coin and the odd one pays for coffee. if the coins all turn up the same, they are tossed again. find th
lawyer [4008]

In the absence of a specific question posed, below are the potential inquiries along with their respective answers:

P(fewer than 4 tosses)
= P(one toss) + P(two tosses) + P(three tosses)
= (3/4) + (3/4)(1/4) + (3/4)(1/4)^2
= 0.984375


Expected value
= 1 / p
= 1 / (3/4)
= 4 / 3

Variance
= (1 - p) / p^2
= (1 - (3/4)) / (3/4)^2
= (1/4) / (9/16)
= 4 / 9

Standard deviation
= sqrt(Variance)
= sqrt(4 / 9)
= 2 / 3

8 0
7 days ago
A new car is purchased for 20300 dollars. The value of the car depreciates at 9.5% per year. What will the value of the car be,
Svet_ta [4321]
The initial value stands at 20,300, decreasing annually by 9.5%.

Given that it decreases by 9.5% each year based on the preceding amount, we can apply an exponential decay model.

A 9.5% reduction means multiplying by 91.5% every year.

We express this mathematically. Plugging in 11 years for t yields.

A(t)=23000(0.915)^{t}\\\\A(11)=23000(0.915)^{11}\\\\A(11)=7671.18

$7,671.18
6 0
9 days ago
In the diagram below BD is parallel to XY. What is the value of x
Svet_ta [4321]

The value of x equals 60 degrees.

This is because alternate interior angles are equal by definition :)

Can I get the brainliest award please?

5 0
14 days ago
Read 2 more answers
Deep Blue, a deep sea fishing company, bought a boat for $250,000. After 9 years, Deep Blue plans to sell it for a scrap value o
Leona [4166]

Answer:

Hence, utilizing linear depreciation gives us 17222.22.

Step-by-step explanation:

The boat's initial value is noted to be $250,000.

The straight-line depreciation method for calculating a boat is as follows:

Cost of the boat is $250,000.

Deep Blue anticipates selling it for $95,000 after 9 years.

Employing the formula, we calculate:

(250000-95000)/9=155000/9=17222.22

Thus, the outcome using linear depreciation is 17222.22.

8 0
8 days ago
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