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3 years ago

How much is 10% of $500?

Mathematics

2 answers:

iVinArrow [24]3 years ago

4 0

0.10 times 500 equals 50

Step2247 [10]3 years ago

3 0

You have to turn the percent into a decimal then multiply so
500 x .10= 50

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Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. (4 pts.

agasfer [191]

It is a geometric sequence because it has a ratio 12/4=3, 36/12=3

7 0

3 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:

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

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

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

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

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

$S = 7.22$

The standard deviation is 7.22 minutes.

5 0

3 years ago

A line that passes through the point (-1,3) has a slope of 2 . find another point on the line

Pie

Answer: (0, 5)

Step-by-step explanation:

Since the slope is 2 that means if we add 2 to the y we have to add 1 to the x value

(-1+1,3+2)

(0,5)

3 0

3 years ago

An electrician charges an hourly rate of $60, but also charges a fixed fee for making house calls regardless of time spend on th

Luba_88 [7]

Answer:

$50

Step-by-step explanation:

Step one:

charges per hour= $60

We are told that the electrician earned $350

for a job that took 5hours

The linear equation to represent his earnings is

let the flat fee be x

C=60t+x------------1

so for C=$350

Required

the flat fee

350=60(5)+x

350=300+x

collect like terms

x=350-300

x=50

Flat fee is $50

4 0

3 years ago

Read 2 more answers

3x + 2 = x + 8 solve for x

laila [671]

3x+2=x+8
Slandered Form
2x-6=0
Factorizations
2(x-3)=0
Solutions
x=6/2=3 (6 divided by 2 = 3)

6 0

4 years ago