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2 years ago

11

If numerator is 2 less than the denominator of a rational number and when 1 is subtracted from numerator and denominator both, t

he resulting new rational number in its simplest form is 1/2 . Find the original rational number.

1 answer:

LUCKY_DIMON [66]2 years ago

6 0

Answer:

3/5

Step-by-step explanation:

1/2=2/4

2+1=3

1+4=5

3/5

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DUE TODAY!!!! I WILL MARK BRAINLIST

11Alexandr11 [23.1K]

Median: 3
mode: 3
range: 9
interquartile range: 2

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3 years ago

In a process that manufactures bearings, 90% of the bearings meet a thickness specification. A shipment contains 500 bearings. A

vredina [299]

Answer:

c) P(270≤x≤280)=0.572

d) P(x=280)=0.091

Step-by-step explanation:

The population of bearings have a proportion p=0.90 of satisfactory thickness.

The shipments will be treated as random samples, of size n=500, taken out of the population of bearings.

As the sample size is big, we will model the amount of satisfactory bearings per shipment as a normally distributed variable (if the sample was small, a binomial distirbution would be more precise and appropiate).

The mean of this distribution will be:

$\mu_s=np=500*0.90=450$

The standard deviation will be:

$\sigma_s=\sqrt{np(1-p)}=\sqrt{500*0.90*0.10}=\sqrt{45}=6.7$

We can calculate the probability that a shipment is acceptable (at least 440 bearings meet the specification) calculating the z-score for X=440 and then the probability of this z-score:

$z=(x-\mu_s)/\sigma_s=(440-450)/6.7=-10/6.7=-1.49\\\\P(z>-1.49)=0.932$

Now, we have to create a new sampling distribution for the shipments. The size is n=300 and p=0.932.

The mean of this sampling distribution is:

$\mu=np=300*0.932=279.6$

The standard deviation will be:

$\sigma=\sqrt{np(1-p)}=\sqrt{300*0.932*0.068}=\sqrt{19}=4.36$

c) The probability that between 270 and 280 out of 300 shipments are acceptable can be calculated with the z-score and using the continuity factor, as this is modeled as a continuos variable:

$P(270\leq x\leq280)=P(269.5$

d) The probability that 280 out of 300 shipments are acceptable can be calculated using again the continuity factor correction:

$P(X=280)=P(279.5$

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3 years ago

Joe Popoff, a collection agent, collected 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5%

sergey [27]

<span>You are given the debt collected by Joe Popoff with a 90% of a debt of $5,600.00 that had been overdue 90 days. This collection rate was 5% more than the average collection rate for that agent. The agent charged 25% commission. You are asked to find the net proceeds.

Amount collected
= $5,600 * 0.90
= $5,040

Commision
= $5,040 * 0.25
= $1,260

Net Proceeds
= $5,040 - $1,260
= $3,780 </span>

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3 years ago

Carmen eats 1/3 of his granola bar before before school and another 1/3 of the granola bar for lunch. Draw and shade a fraction

emmasim [6.3K]

So he’s eaten 2/3 already
make a rectangle with three sections
shade in two of the sections
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3 years ago

A rectangular prism has a volume of 30 cubic inches.It's length is 1/3and it's width is 3 feet. What is the height?

algol13

V = WHL

30 = $\frac{1}{3}$ *3*L

30 = 1*L

30 = L

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3 years ago