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zavuch27 [327]
2 years ago
15

Cynthia rounds a number, x,to one decimal place. the result is 6.3.

Mathematics
1 answer:
gladu [14]2 years ago
7 0

The answer is: 6.25\leq6.3

The explanation is shown below:

1. Cynthia rounds the number, which is identified as x, to one decimal place and the result is 6.3.

2. Based on this, we know that x could have been between 6.25 and 6.35. Therefore, the error interval for x is given by:

 6.25\leq6.3

Where \leq indicates that the value 6.25 is included and indicates that the value 6.35 is not included (Because if x had been exactly 6.35, Cynthia would round up to 6.4).

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If an intravenous fluid is adjusted to deliver 15 mg of medication to a patient per hour, how many milligrams of medication are
adelina 88 [10]

Answer: 0.125 mg per half minute

Step-by-step explanation:

15mg per hour can be written as 15mg/h

To find out how many mg of medication are delivered per half minute you can convert from hour to minutes

There are 60 minutes in 1 hour, so you can use the conversion factor (1h/60 min) and multiply the expression by it

15 mg/h (1h/60min) = 0.25 mg/min

But the question is per half minute so you have to multiply and divide the previous expression by 0.5 (To obtain 0.5 min in the denominator, which is half minute)

Then,

(0.25 mg/min ) (0.5/0.5) = 0.125 mg/ 0.5 min (0.125 mg per half minute)

8 0
2 years ago
A new phone system was installed last year to help reduce the expense of personal calls that were being made by employees. Befor
Zolol [24]

Answer:

a. $302

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 400, \sigma = 50

Point in the distribution below which 2.5% of the PCE's fell.

This is the 2.5th percentile, which is X when Z has a pvalue of 0.025. So it is X when Z = -1.96.

Z = \frac{X - \mu}{\sigma}

-1.96 = \frac{X - 400}{50}

X - 400 = -1.96*50

X = -1.96*50 + 400

X = 302

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2 years ago
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ch4aika [34]

Answer:

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Step-by-step explanation:

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5 0
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Answer:

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Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Which of the following could be the ratio of the length of the longer leg of a 30-60-90 triangle to the length of its hypotenuse
Aliun [14]

Answer:

Option C is correct.

Ratio of longer leg to hypotenuse is;  \sqrt{3} : 2

Step-by-step explanation:

This is the special right angle triangle 30°-60°-90°  as shown below in the figure.

  • The side opposite the 30° angle is always the shortest because 30 degrees is the smallest angle.
  • The side opposite the 60° angle will be the longer leg, because 60 degrees is the mid-sized degree angle in this triangle.
  • Finally , the side opposite the 90° angle will always be the largest side(Hypotenuse) because 90 degrees is the largest angle.

In 30°−60°−90° right triangle,

  • the length of the hypotenuse is twice the length of the shorter leg,also
  • the length of the longer leg is \sqrt{3} times the length of the shorter leg.

Then:

the sides are in proportion i.e,  1:\sqrt{3} :2

Therefore, the ratio of the length of the longer leg to the length of its hypotenuse is:  \sqrt{3} : 2



7 0
2 years ago
Read 2 more answers
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