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3 years ago

A train 375 m long is running at a speed of 45 km/hr.how long will it take to pass a single post

Mathematics

1 answer:

Kruka [31]3 years ago

4 0

we know that

The time it takes for the train to pass a single post is equal to the time it takes for the train to pass its length.

the length of the train is-----> 375 m

convert to Km

1 Km =1,000 m

375 m=375/1,000=0.375 Km

the speed of the train is 45 km/hour

by proportion

$\frac{1}{45}\frac{hour}{Km} =\frac{x}{0.375}\frac{hour}{Km}\\ \\45*x=0.375\\ \\ x=0.375/45\\ \\x=0.0083\ hours$

convert to minutes

1 hour=60 minutes

0.0083 hours=0.0083*60=0.5 minutes

convert to seconds

1 minute=60 sec

0.5 minutes=0.5*60=30 sec

therefore

the answer is

30 seconds

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The sum of two numbers is 72 the greater number is 8 more than the smaller number which equation can be used to solve for the sm

kobusy [5.1K]

Answer:

let x is the smaller number

bigger number is x + 8

The sum of two numbers is 72

x + (x+8) = 72

answer

x + (x + 8) = 72

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

QUESTION 2

aev [14]

The margin of error for a 95% confidence interval is 0.93.

mean (μ) = 23.4, standard deviation (σ) = 7.6, sample (n) = 254, confidence = 95% = 0.95

α = 1 - C = 1 - 0.95 = 0.05

α/2 = 0.05/2 = 0.025

The z score of α/2 is equal to the z score of 0.475 (0.5 - 0.025) which is equal to 1.96.

The margin of error (E) is given by:

$E=z_\frac{\alpha}{2} *\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{7.6}{\sqrt{254} } \\\\E=0.93$

The margin of error for a 95% confidence interval is 0.93.

Find out more at: brainly.com/question/10501147

4 0

3 years ago

Here is a table of values y=f(x).

Mariulka [41]

A. False. The range of $f(x)$ is the set of values it can produce. In the table, $f(x)$ produces values from $0$ to $3$ . However, the range of all real numbers is all rational numbers, basically from $-\infty$ to $\infty$ , not just a few numbers in-between. So, the range of $f(x)$ is not all real numbers.

B. True. Looking at the table, when $x=-3$ , $f(x)=2$ . This is another way of saying that $f(-3)=2$ , which is what B is saying.

C. True. The domain of $f(x)$ is the set of values of $x$ that produce some output in $f(x)$ . Looking at the table, all of the $x$ values listed on it are in the set $\{-5, -3, 0, 2, 6, 7, 9, 10, 13\}$ , which is what C is saying.