I have a bucket which I use to fill a

In a far-off land three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How

timofeeve [1]

2.5 bags of rice are worth one fish

3 0

3 years ago

What is the value of the equation

vichka [17]

Answer: 8.4
Explanation: Substitute y = 0.8 into the equation.
4x + 8(0.8) = 40
4x + 6.4 = 40
4x = 33.6
x = 8.4

4 0

4 years ago

Which of the following describes the situation below? The number of miles a car can run depends on the gallons of gasoline in th

S_A_V [24]

Answer: A. A relation that is a function.

Step-by-step explanation:

A relation is said to be a function if each input value is associated with one unique output value.

Here, Number of miles run by car is directly proportional to the quantity of gasoline.

Independent variable - quantity of gasoline.

Dependent variable - Number of miles

On assuming the condition of car as good, the number of miles a car can run highly depends on the gallons of gasoline in the tank .

As quantity of gasoline increases number of miles driven would also increases.

i.e. Number of miles driven is a function with respect to quantity of gasoline.

Hence, the given line best describe as : A relation that is afunction.

8 0

3 years ago

ہے Solve for k. 4k - 10 k k= - = 8

kifflom [539]

Answer:

The formation of the equation is odd, but I assume it's supposed to be:
4k - 10k = -8k

-6k = -8k
-6k + 8k = -8k + 8k
2k = 0
$\frac{2k}{2}$ = $\frac{0}{2}$
k = 0

6 0

2 years ago

Suppose that the times required for a cable company to fix cable problems in its customers’ homes are uniformly distributed betw

vampirchik [111]

Answer:

a) 60% probability that a randomly selected cable repair visit will take at least 50 minutes

b) 60% probability that a randomly selected cable repair visit will take at most 55 minutes.

c) The expected length of the repair visit is 52.5 minutes.

d) The standard deviation is 7.22 minutes.

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

$P(X \leq x) = \frac{x - a}{b-a}$

For this problem, we have that:

Uniformly distributed between 40 and 65 minutes, so $a = 40, b = 65$

(a) What is the probability that a randomly selected cable repair visit will take at least 50 minutes?

Either it takes less than 50 minutes, or it takes at least 50 minutes. The sum of the probabilities of these events is decimal 1. So

$P(X < 50) + P(X \geq 50) = 1$

The intervals can be open or closed, so

$P(X < 50) = P(X \leq 50)$

We have that

$P(X \geq 50) = 1 - P(X < 50)$

$P(X < x) = \frac{50 - 40}{65 - 40} = 0.4$

$P(X \geq 50) = 1 - P(X < 50) = 1 - 0.4 = 0.6$

60% probability that a randomly selected cable repair visit will take at least 50 minutes

(b) What is the probability that a randomly selected cable repair visit will take at most 55 minutes?

This is $P(X \leq 55)$

$P(X \leq 55) = \frac{55 - 40}{65 - 40} = 0.6$

60% probability that a randomly selected cable repair visit will take at most 55 minutes.

(c) What is the expected length of the repair visit?

The mean of the uniform distribution is:

$M = \frac{a+b}{2}$

So

$M = \frac{40+65}{2} = 52.5$

The expected length of the repair visit is 52.5 minutes.

(d) What is the standard deviation?

The standard deviation of the uniform distribution is

$S = \sqrt{\frac{(b-a)^{2}}{12}}$

So

$S = \sqrt{\frac{(65-40)^{2}}{12}}$

$S = 7.22$

The standard deviation is 7.22 minutes.

5 0

3 years ago