MATHEMATICS COLLEGE

Which values are equivalent to the fraction below? Check all that apply
which values are equivalent to the fraction below? Check all - 1

Answers

Answer 1
Answer:

Answer:

A,B,E

Step-by-step explanation:

3^(5) /3^(8)=3^(5-8)=3^(-3)=1/27=(1/3)^(3)

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If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?

Answers

Answer:

Step-by-step explanation:

I NEED HELP PLEASE

Help plz
i need help​

Answers

Answer:

ill help you with my long shalong

Step-by-step explanation:

Write an equation of the line perpendicular to the given line that contains P.P(4, - 7); y = 1/5x+2
Write an equation for the line in point-slope form.
(Simplify your answer. Use integers or fractions for any numbers in the equation.)
I WILL GIVE BRAINLIEST!!

Answers

Answer:

Step-by-step explanation:

perp. -5

y + 7 = -5(x - 4)

y + 7 = -5x + 20

y = -5x + 13

You are renting a limousine that charges certain rates to visit each of the following cities. You needto visit each city once and you need to start in Athens and end in Athens. Use the "Brute Force"
Algorithm to find the cheapest route to visit each city and return home again to Athens.

Answers

Answer:

the answer is Athens-Buford-Cu-Dacul-Athens

Step-by-step explanation:

HOw far away can a person live from a radio station and hear its broadcast if the signal covers a circular area of 40000 square miles?

Answers

Answer:

The radio station is at the center of a circle with an area of 40,000 square miles.  The furthest point that you could hear the broadcast would be on the outer edge of the circle or at the end of the radius of the circle.  The formula for the area of a circle is:

Area = πr^(2)

So we take what we know and work the formula in reverse.

40,000 = πr²

40,000 / π = r²

12,732.4 = r²

√12,732.4 = √r²

112.84 = r

The radius of a circle with an area of 40,000 square miles is 112.84 miles.  This is the furthest point that you would be able to hear the broad cast.

Step-by-step explanation:

The caffeine content (in mg) was examined for a random sample of 50 cups of black coffee dispensed by a new machine. The mean and the standard deviation were 110 mg and 7.1 mg respectively. Use the data to construct a 98% confidence interval for the mean caffeine content for cups dispensed by the machine. Interpret the interval!

Answers

Answer:

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 mg .

Step-by-step explanation:

Given -

The sample size is large then we can use central limit theorem

n = 50 ,  

Standard deviation(\sigma) = 7.1

Mean \overline{(y)} = 110

\alpha = 1 - confidence interval = 1 - .98 = .02

z_{(\alpha)/(2)} = 2.33

98% confidence interval for the mean caffeine content for cups dispensed by the machine = \overline{(y)}\pm z_{(\alpha)/(2)}\frac{\sigma}√(n)

                     = 110\pm z_(.01)\frac{7.1}√(50)

                      = 110\pm 2.33\frac{7.1}√(50)

       First we take  + sign

   110 + 2.33\frac{7.1}√(50) = 112.34

now  we take  - sign

110 - 2.33\frac{7.1}√(50) = 107.66

 We are 98% confident interval for the mean caffeine content for cups dispensed by the machine between 107.66 and 112.34 .

               
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