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2 years ago

Which sentence can represent the inequality One-half x + three-fourths greater-than-or-equal-to 5 and one-fourth?

Mathematics

2 answers:

hodyreva [135]2 years ago

6 0

Answer:

The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

It's all about making sense of an English sentence.

"half the sum ..." is different from "the sum of half ..."

And ...

"at least" and "not less than" mean the same (≥)

"not more than" and "at most" mean the same (≤)

_____

Since all of the expressions are written out in words, it is a matter of matching the ideas expressed. That's a problem in reading comprehension, not math.

"One-half x + three-fourths [is] greater-than-or-equal-to 5 and one-fourth"

means the same as ...

"The sum of half of a number and three-fourths is at least five and one quarter"

DerKrebs [107]2 years ago

3 0

Answer:

The sum of half of a number and three-fourths is at least five and one quarter

Step-by-step explanation:

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2 years ago

A lightbulb manufacturer ships large consignments of lightbulbs to big industrial users. When the production process is function

Mashutka [201]

Answer:

a) P[ Pf | Ptd ] = 0,428

b) P[ Pf | Nd ] = 0,692

Step-by-step explanation:

We will call:

Pf Probability of functioning correctly 60 % or 0.6

Pfn Probability of malfunctioning 40 % or 0,4

PNd Probability of nondefective bulb

D₁ Probability of defective bulb when the process is correctly working

D₂ Probability of defective bulb when the process is in malfunction condition

Ptd Total probability of defective bulbs

Then applying theorem´s Bayes have

P [ A | B ] = P(A) * P [ B | A ] / P(B)

a) Probabilty of the process is functioning correctly given that we pick up a defective bulb

The total probability of defective bulbs is equal to, probabilty of defective bulbs when the process is Ok, plus probability of defective bulbs when the process is in malfunctioning condition, therefore

Ptd = (0,6)*(0,25) + (0,40)*(0,50) = 0,15 * 0,20 = 0,35

P[ Pf | Ptd ] = Pf * P [ Pd | Pf ] / Ptd = 0,6 * 0,25 / 0,35

P[ Pf | Ptd ] = 0,428

b) P [ Pf | Nd ]

P[ Pf | Nd ] = Pf * P [Nd | Pf ] / PNd

PNd = 1 - Ptd = 1 - 0,35 = 0,65

P[ Pf | Nd ] = 0,6 * 0,75 / 0,65 = 0,692

P[ Pf | Nd ] = 0,692

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2 years ago

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Answer:

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1 year ago

The histogram below shows the number of properties in a town that sold within certain time periods.

Tomtit [17]

Answer:

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

Step-by-step explanation:

Given is a histogram that shows the number of properties in a town that are sold within certain periods.

On x axis is given number of days to sell and on y axis the number of properties

X axis is given in interval form with interval width 30 and on y axis scales are marked as 0,1,2....12,13 etc

The mistake is on y axis after 0, 10 is marked with unit distance from 0 but from 10 to 11 also distance is shown as 1 unit.

Hence correct option is

Option c) The scale on the y-axis misrepresents the difference in the heights of the bars.

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2 years ago

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Answer:

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Step-by-step explanation:

First we need to find the tip

tip = pre tax bill * 10 %

tip = 25 * .10

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Next we need to find the tax

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tax = 25 * .08

tax =2

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Final bill = 25 + 2 + 2.5

=29.50

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2 years ago

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