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nata0808 [166]
3 years ago
11

Under certain conditions, the average cost of driving a medium sedan in 2012 was $0.69 per mile. How much would it have cost to

drive such a car 16,000 miles in 2012
Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0

9514 1404 393

Answer:

   $11,040

Step-by-step explanation:

Multiply the per-mile cost by the number of miles:

  ($0.69/mi)(16000 mi) = $11,040 . . . cost of operation in 2012

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Find, from first principles,the derivative of e^tanx​
Anettt [7]

Answer:

[(sec^2)(x)]. [e^tan(x)]

Or

[e^(tan(x))]/[(cos^2)(x)].

Step-by-step explanation:

d/dx(e^tan(x))

From the low:

[(d/du)(e^u)]=[(d/du)(u)]. [ln(e)]. [e^u]

=[(sec^2)(x)]. [e^(tan(x))]. [ln(e)]

=[(sec^2)(x)]. [e^(tan(x))]

or

[e^(tan(x))]/[(cos^2)(x)].

Because

(cos^2)(x)=1 / (sec^2)(x)

6 0
3 years ago
For patients who have been given a diabetes test, blood-glucose readings are approximately normally distributed with mean 127 mg
zysi [14]

Answer:

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

Step-by-step explanation:

Empirical Rule

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Central Limit Theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this question:

Mean of 127, standard deviation of 10.

For the sample mean:

By the Central Limit Theorem, mean is 127, while the standard deviation is s = \frac{10}{\sqrt{4}} = 5

According to the empirical rule, in 95 percent of samples the SAMPLE MEAN blood-glucose level will be between?

By the Empirical Rule, within 2 standard deviations of the mean. So

127 - 2*5 = 117 mg/dl

127 + 2*5 = 137 mg/dl.

Between the lower-bound of 117 mg/dl and the upper bound of 137 mg/dl.

7 0
3 years ago
Without using Desmos what is the complete factorization of 2x^2+x-15? Please show work , please help
andrezito [222]
The last one x+5 2x-3
4 0
3 years ago
Shirts were sold in 3 sizes-small,meduim and large.1/3of the shirt are small sized.1/3 of the fraction are large sized.What is t
Vlada [557]

The fraction of medium sized shirt is \frac{1}{3}.

Step-by-step explanation:

Given,

\frac{1}{3} of the shirts are small sized.

\frac{1}{3} of the shirts are large sized.

To find the fraction of medium sized.

Let us take total number of shirt = 1

Number of small sized shirt =c

Number of large sized shirt = \frac{1}{3}

So,

Total number of large and small sized shirt = \frac{1}{3} +\frac{1}{3}

=  \frac{2}{3}

Hence,

Number of medium sized shirt = 1-\frac{2}{3}

= \frac{1}{3}

8 0
3 years ago
Easy maths ~ Expand and simplify these brackets branliest going and 20 points
MrMuchimi

Answer:

a)

2(x+1) +3 (x+2)

2x +2 + 3x +6

5x + 8

b)

4(x+3) +2(x +7)

4x+12 + 2x +14

6x+26

c)

5(x+3) +2(x+7)

5x+15 +2x+14

7x +29

d)

8(x+10) +2(x+4)

8x+80 +2x+8

10x+88

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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