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8 months ago

Find the slope (-10,8) (5,-3)

Mathematics

1 answer:

Anarel [89]8 months ago

8 0

The slope can be calculated with the following formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

In this case, you have the following points:

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A recently negotiated union contract allows workers in a shipping department 24 minutes for rest, 10 minutes for personal time,

Alik [6]

Answer:7.125 min

Step-by-step explanation:

Given

Resting time =24 min

Personal time=10 min

Delay=14 min

Observed Time=6min/cycle

Performance Rating=95%

Allowance Time=Rest time+Personal time+delay

Allowance time=24+10+14=48 min

$Allowance %=\frac{Allowance Time}{Total Time}=\frac{48}{4\times 60}=20 \%$

Allowance Factor= $\frac{1}{1-0.20}=\frac{5}{4}$

Calculate the Normal Time

Normal time=Observed time $\times$ personal Time=6\times 0.95=5.7 min

Standard time=Normal time $\times$ Allowance Factor

Standard time = $NT\times Allowance factor=5.7\times 1.25$ =7.125 min

3 0

3 years ago

The radius of a sphere is 6 units.

tino4ka555 [31]

Answer: The radius of a sphere is 6 units

Step-by-step explanation:

3 0

3 years ago

According to the National Bridge Inspection Standard (NBIS), public bridges over 20 feet in length must be inspected and rated e

slamgirl [31]

Answer:

1.80% probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Step-by-step explanation:

For each bridge, there are only two possible outcomes. Either it has rating of 4 or below, or it does not. The probability of a bridge being rated 4 or below is independent from other bridges. So we use the binomial probability distribution to solve this problem.

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.

For the year 2020, the engineers forecast that 9% of all major Denver bridges will have ratings of 4 or below.

This means that $p = 0.09$

Use the forecast to find the probability that in a random sample of 12 major Denver bridges, at least 4 will have an inspection rating of 4 or below in 2020.

Either less than 4 have a rating of 4 or below, or at least 4 does. The sum of the probabilities of these events is 1.

$P(X < 4) + P(X \geq 4) = 1$