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MAXImum [283]
3 years ago
6

Unitary method A car can cover a distance of 522km on 36litres of disesel. How far can it travel with 14litres, ​

Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

It can cover 203 km with 14 litres.

Step-by-step explanation:

Given that,

A car can cover a distance of 522km on 36litres of diesel.

522 km = 36 litres

1 l = (522/36) km

We need to find how far can it travel with 14 litres.

We can use the unitary method to solve it.

14\ L=\dfrac{522}{36}\times 14\\\\=203\ km

So, it can cover 203 km with 14 litres.

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The number of lightning strikes in a year at the top of a particular mountain has a poisson distribution with a mean of 3.8. fin
atroni [7]

Let X be the number of lightning strikes in a year at the top of particular mountain.

X follows Poisson distribution with mean μ = 3.8

We have to find here the probability that in randomly selected year the number of lightning strikes is 0

The Poisson probability is given by,

P(X=k) = \frac{e^{-mean} mean^{x}}{x!}

Here we have X=0, mean =3.8

Hence probability that X=0 is given by

P(X=0) = \frac{e^{-3.8} 3.8^{0}}{0!}

P(X=0) = \frac{0.02237 * 1}{1}

P(X=0) = 0.0224

The probability that in a randomly selected year, the number of lightning strikes is 0 is 0.0224

5 0
3 years ago
Solve this please: a=46c solve for c
Firlakuza [10]
a = 46c\\c = \frac{a}{46}
7 0
4 years ago
Which exponential function is graphed here?
jek_recluse [69]

Answer:

y = 5^x

Step-by-step explanation:

y= b*(a)^x + c

c could = 1 but then you would not have an exponential function. c = 0 because the graph follows the x axis up until x = -2. Suppose c = 1. The the graph would follow y = 1 up until x = - 2

When x = 0, y = 1 which means that b. If b is anything but 0 or 1 then the y intercept would be stretched to a different place. If be = 0 then y would = 0.

So the graph is of the form y = a^x

Now when x = 0 the graph, the y intercept is y = a^0  or y = 1 So the y intercept is (0,1)

Now the next point is thing to solve for is a.

When x = 1, y = 5  (read the graph)

y = a^x

5 = a^1

5 = a because a^1 is a.

Answer

y = 5^x.

5 = a^1

4 0
3 years ago
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ad-work [718]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
The variable x represents w value in the set {4, 6, 7, 8}. Which value of x makes 2 (x - 4) + 3 = 7 a true statement​
navik [9.2K]
X would be 6 I’m not sure about w.
3 0
3 years ago
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