Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16]

Answer:

1/48 or .2083

Step-by-step explanation:

dividing by 6 is the same as multiplying by 1/6, so if you multiply 1/8*1/6 you get 1/48

Answer: Reduce the expression, if possible, by cancelling the common factors.

Exact Form:

1/48

Decimal Form:

0.02083

Answer:

33cm

Step-by-step explanation:

You need to add up all the sides

Answer:

No. it's less than. The bigger the negative number is, the lesser it is.

Answer:

34 total students.

25 are not 7th graders

27/35

Answer:

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

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

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

20% of the residents in a certain state support an increase in the property tax. Sample of 400.

This means that [tex]p = 0.2, n = 400[/tex]

Mean and standard deviation:

Mean [tex]\mu = p = 0.2[/tex]

Standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.2*0.8}{400}} = 0.02[/tex]

How likely is the resulting sample proportion to be within .04 of the true proportion (i.e., between .16 and .24)?

This is the pvalue of Z when X = 0.24 subtracted by the pvalue of Z when X = 0.16. So

X = 0.24

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.24 - 0.2}{0.02}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

X = 0.16

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.16 - 0.2}{0.02}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.9772 - 0.0228 = 0.9544

0.9544 = 95.44% probability of the resulting sample proportion being within .04 of the true proportion

Answer:

Ellen is correct

Step-by-step explanation:

Roger:

The left side 20 does not equal to the right side 0.002 , which means that the given statement is false.

Ellen:

The left side 20 is equal to the right side 20, which means that the given statement is always true.

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

-Aadi x

Answer:

180°

Step-by-step explanation:

You can rotate the equilateral triangle 180° to match the original orientation.

do you know what the answer was?

Answer:

  33 1/3%

Step-by-step explanation:

The percentage change is ...

  difference/base × 100% = (120000 -90000)/90000 × 100%

  = 1/3 × 100% = 33 1/3%

5,0 is not a solution to the system of linear inequalities.

Answer:1  pound

Step-by-step explanation:

Directly you see  from Qestion Sarah picked 4  pounds and Nathan 3...for difference  4-3=1

Answer:

A: 1 pound

Step-by-step explanation:

4lbs -- 3lbs = 1lbs

Answer:

9

Step-by-step explanation:

Answer:

Out of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Step-by-step explanation:

Since Phil has completed 1/4 of his shift; Darren has completed 3/7 of his shift; Alice has finished 1/8 of her shift of her; and Lisa has 1/5 of her shift remaining, to determine, out of the four employees, who has completed the least work time, the following calculation must be performed:

Phil: 4 - 1/4 = 3/4 = 0.75

Darren: 7 - 3/7 = 4/7 = 0.57

Alice: 8 - 1/8 = 7/8 = 0.875

Smooth: 5 - 1/5 = 4/5 = 0.8

Thus, of the four employees, Alice is the one who has completed the least work time, since she only completed 12.5% of it.

Answer:

(8,-2)

Step-by-step explanation:

270 counterclockwise is the same as 90 clockwise. Rotate on a graph.

Answer:

C.

Step-by-step explanation:

The word biodiversity means the variety of life and in this case, bats

Ecosystem 1 has the most variety bc it has the most number of different varieties of bats observed

hope this helps <3

Answer:

804.25 or based on the choices 803.8

Step-by-step explanation:

Answer:

804.25

Step-by-step explanation:

so the closest thing to that is 803.8

Answer:

24

Step-by-step explanation:

x+120+36=180

x+156=180

x=180-156

x=24

Step-by-step explanation:

[tex] \sqrt{26} is \: between 5.0and5.1[/tex]

Answer:

sorry 2458946547165874%

Step-by-step explanation:

Answer:

2x + 12

Step-by-step explanation:

2(x + 6) =

2(x) + 2(6) =

2x + 12

Hope that helps!

Answer:

2x+12 by distributing

2x=-12

x=-6

Answer:

The equation of the form P(n) is:

P(n)=-0.002n+75

Step-by-step explanation:

From the information provided, you have two points: (3000, 69) and (7000, 61). With this, you can find the slope using the following formula:

m=(p1-p2)/(n1-n2)

m=slope

p1=69

p2=61

n1=3000

n2=7000

m=(69-61)/(3000-7000)

m=8/-4000

m=-0.002

Now that you have the slope, you can find the the equation of the form P(n):

P(n)=-0.002(n-3000)+69

P(n)=-0.002n+6+69

P(n)=-0.002n+75

According to this, the answer is that the equation of the form P(n) is:

P(n)=-0.002n+75

Answer: 7 texts 1 dollar, 5 texts 35 dollars

Step-by-step explanation:

if you have 49 is divisible by 7, and when you divide 49 by 7 you get 7. so 1 dollar you get 7 dollars. how do you get from 1 to five multiply 5, now multiply 7 by five to see how many texts you get for 5 dollars. im really not good at explaining i hope you get it though!!

Step-by-step explanation:

Area = 1/2 x b x h

= 1/2 x 9 x 10

= 45 cm ^2

As it has 6 faces, we multiply the area by 6

45 x 6 = 270 cm^2

Answer:

$0.72

Step-by-step explanation:

4.32 dollars per 6 popsicles.

4.32 / 6 = 0.72 per popsicle.

Answer:

11.4

Step-by-step explanation:

By Pythagoras Theorem:

[tex]x^{2} = {7}^{2} + ( {4}^{2} + {8^{2}}) \\ \\ x^{2} = 49+(16 + 64)\\ \\ x^{2} = 49+80\\ \\ x^{2} = 129 \\ \\ x = \sqrt{129} \\ \\ x = 11.3578167 \\ \\ x = 11.4[/tex]