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s344n2d4d5 [400]
3 years ago
14

Evaluate the piecewise function below for f(1):

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
3 0

We need to find f(1)

f(1) means x=1

Now we look at the three inequalities and choose the one where x=1 satisfies

x<=-1 , -1<x<1  and x>=1

x=1 satisfies the inequality x>=1

so we use the third function to find f(1)

f(x) = 2x^2 + 3

We plug in 1 for x and find f(1)

f(1) = 2(1)^2 + 3= 2 + 3 = 5

f(1) = 5

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3 years ago
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Answer: \sqrt{37}

=====================================

Work Shown:

6x-y = -3 is the same as 6x-y+3 = 0

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d = \frac{A*p+B*q+C}{\sqrt{A^2+B^2}}\\\\d = \frac{6*6-1*2+3}{\sqrt{6^2+(-1)^2}}\\\\d = \frac{36-2+3}{\sqrt{36+1}}\\\\d = \frac{37}{\sqrt{37}}\\\\d = \frac{37\sqrt{37}}{37}\\\\d = \sqrt{37}\\\\d \approx 6.08276\\\\

7 0
3 years ago
The weights of running shoes are normally distributed with an unknown population mean and standard deviation. If a random sample
VLD [36.1K]

Answer:

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Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 22 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2.0739

The margin of error is:

M = T*s

In which s is the standard deviation of the sample.

In this question:

s = 3.

Then

M = 2.0739*3 = 6.22

The margin of error for a 95% confidence interval estimate for the population mean using the Student's t-distribution is of 6.22 ounces.

8 0
3 years ago
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Answer:

720

Step-by-step explanation:

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Based on the above information

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hence, the number of strains required for loosing in nine days is 720 and the same is to be considered

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Average speed = total miles / total time
= (16+24)/(2+2)
=40/4= 10mph
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3 years ago
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