Ask question

Ask question

All categories

jarptica [38.1K]

2 years ago

9

A car owner buys diesel at rs 7.50, rs 8, rs 8.50 per litre for three successive years. what approximately is the average cost p

er litre of diesel if he spends rs 4000 each year?

1 answer:

alex41 [277]2 years ago

5 0

Answer:

Average cost per litre of diesel = rs 8.00

Step-by-step explanation:

Amount spent on diesel each year = rs 4000

Price of a litre of diesel in the first year = rs 7.50

Price of a litre of diesel in the second year = rs 8.00

Price of a litre of diesel in the third year = rs 8.50

Average cost per litre of diesel = $\frac{p_{1} + p_{2} + p_{3} }{n}$

where n is the number of years.

Average cost per litre of diesel = $\frac{7.5 + 8.00 + 8.50}{3}$

= $\frac{24}{3}$

= 8

Average cost per litre of diesel is rs 8.00

So that he buys an average of 500 (i.e $\frac{4000}{8}$ ) litres every year.

You might be interested in

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal. During one

Triss [41]

Answer:

0.82 = 82% probability that at least one party will not order drinks

Step-by-step explanation:

For each party, there are only two possible outcomes. Either they will order drinks with their meal, or they will not. The probability of a party ordering drinks with their meal is independent of other parties. So the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

When Ryan is serving at a restaurant, there is a 0.75 probability that each party will order drinks with their meal.

This means that $p = 0.75$

During one hour, Ryan served 6 parties. Assuming that each party is equally likely to order drinks, what is the probability that at least one party will not order drinks?

6 parties, so n = 6.

Either all parties will order drinks, or at least one will not. The sum of the probabilities of these events is decimal 1. So

$P(X = 6) + P(X < 6) = 1$

We want P(X < 6). So

$P(X < 6) = 1 - P(X = 6)$

In which

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{6,6}.(0.75)^{6}.(0.25)^{0} = 0.18$

$P(X < 6) = 1 - P(X = 6) = 1 - 0.18 = 0.82$

0.82 = 82% probability that at least one party will not order drinks

5 0

3 years ago

Read 2 more answers

Solve the inequality <br> 3(x-2)>-3

wolverine [178]

Answer:

x>1

Step-by-step explanation:

m at h w ay

6 0

2 years ago

Evaluate 3(a + b + c) 2 for a = 2, b = 3, and c = 4.

garri49 [273]

Answer:

54

Step-by-step explanation:

Given:

$3(a + b + c) 2$

Input the numbers provided into the equation

3(2 + 3 + 4)2

Add all of the numbers inside the parentheses

3(9)2

Multiply

3 * 2 = 6

6 * 9 = 54

6 0

3 years ago

Read 2 more answers

Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations.

Nostrana [21]

$x^3-27i=0$
$x^3=27i$
$x^3=27e^{i\pi/2}$
$x=\left(27e^{i\pi/2}\right)^{1/3}$
$x=3e^{i(\pi/2+2\pi k)/3}$
$x=3e^{i\pi(4k+1)/6}$

where $k\in\{0,1,2\}$ . This means you have

$x=3e^{i\pi/6}=\dfrac32(\sqrt3+i)$
$x=3e^{i5\pi/6}=\dfrac32(-\sqrt3+i)$
$x=3e^{i9\pi/6}=-3i$

as the solutions to the original equation.

4 0

3 years ago

Can someone please answer. There is one problem. There's s picture. Thank you!

Pepsi [2]

The correct answer is the first option, 23.1 miles.

Knowing that the sum of the triangle's interior angles should equal a measure of 180°, you can start off by solving for the missing interior angle, near the library.

Since this is a right triangle (meaning one of the angles is 90°), and the other angle is given (57°), simply subtract these two values from 180° to get $180-(57+90)=33\textdegree.$

Next, use the Law of Sines (stated below) which will allow you to solve for the missing distance from the radio tower to the library in miles, using the angle measures and height from the tower to the balloon that you've found.

$\frac{\sin(A)}{a} = \frac{\sin(B)}{b}$

For this problem, we'll let the height of the hot air balloon be $a=15$ and its respective opposite angle be $A=33\textdegree$ , and let the missing x-distance be $b$ , with its respective opposite angle $B=57\textdegree$ . Note, we're solving for $b$ .

$\frac{\sin(33)}{15} = \frac{\sin(57)}{b} \\ \\
b\times sin(33)=15\times \sin(57) \\ \\
b=\frac{15\times \sin(57)}{sin(33)} \\ \\
b\approx \frac{15\times 0.84}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx \frac{12.6}{.54} \\ \\
b\approx 23.3$

Because there was a lot of approximation in the above operations, the answer doesn't exactly match any of the answer options in the question. However, it's very close to the first option, 23.1 miles, so that must be the correct answer.

8 0

3 years ago