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Paraphin [41]
3 years ago
7

If a train travels 80 m/s in two hours and 20 minutes, how far has it traveled?

Mathematics
1 answer:
Alexxx [7]3 years ago
8 0

Answer:

distance = 585600 m

Step-by-step explanation:

change 2 hours 20 minutes to seconds

2  hrs * 60 minutes/1hr * 60 sec/min = 7200 sec

20 minutes * 60 sec/min = 120 sec

2 hr 20 min = 7320 seconds

distance = rate * time

distance = 80 m/s * 7320 s = 585600 m

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Using the equation 4x^3-6x^2-144x+8, find the function values f(-3) and f(-4) at the interval {-4,5}
Leto [7]

Answer: f(-3) = 278, f(-4) = 232

Step-by-step explanation:

f(x) = 4x³ - 6x² - 144x + 8

f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8

f(-3) = 4(-27) - 6(9) - 144(-3) + 8

f(-3) = 278

f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8

f(-4) = 4(-64) - 6(16) - 144(-4) + 8

f(-4) = 232

7 0
3 years ago
A chemist examines 12 sedimentary samples for bromide concentraction. The mean bromide concentration for the sample date is 0.43
Umnica [9.8K]

Answer:

a) z = 1.645

b) Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

Step-by-step explanation:

Population is approximately normal, so we can find the normal confidence interval.

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1-0.9}{2} = 0.05

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.05 = 0.95, so z = 1.645. This is the critical value, the answer for a).

Now, find M as such

M = z*\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.645*\frac{0.0325}{\sqrt{12}} = 0.015

The lower end of the interval is the sample mean subtracted by M. So it is 0.437 - 0.015 = 0.422cc/m³.

The upper end of the interval is the sample mean added to M. So it is 0.437 + 0.015 = 0.452 cc/m³.

b)

Lower endpoint: 0.422cc/m³

Upper endpoint: 0.452 cc/m³

4 0
3 years ago
What is the value of x? <br><br> Enter your answer in the box.<br><br> X =
melamori03 [73]

Answer:

x=54

Step-by-step explanation:

2x + 2 = 3x - 52

subtract 2x from both sides, now u have:

2 = x - 52

add 52 from both sides, now u have

54 = x

7 0
3 years ago
A fair coined is flipped what is the probability it will land on its head
Georgia [21]
For example, the probability of an outcome of heads on the toss of a fair coin is ½ or 0.5. The probability of an event can also be expressed as a percentage (e.g., an outcome of heads on the toss of a fair coin is 50% likely) or as odds (e.g., the odds of heads on the toss of a fair coin is 1:1).
5 0
3 years ago
A sum of money is divided between A,B and C in the ratio 9:8:7. If the total sum of money shared is 480. How much money does A r
mr Goodwill [35]

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

9x+8x+7x=480

24x=480

Divide both sides by 24.

x=\dfrac{480}{24}

x=20

Now,

A\ get =9x

A\ get =9(20)

A\ get =180

Therefore, amount received by A is 180.

6 0
3 years ago
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