A=(s-2)180 solve for s

Answers

Answer 1

Answer:
You said that    A = (s-2) 180

Divide each side by 180 : A/180    = s-2

Add 2 to each side:     A/180 + 2 = s

Answer 2

Answer: A = (s - 2)180

A = (s)180 - (2)180

A = 180s - 360 (add 360 to each side)

A + 360 = 180s - 360 + 360

A + 360 = 180s (divide 180 from each side)

(A + 360)/180 = s

s =

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A square has an area that is less than 100m^2. What is a reasonable range for the graph of the square side?A. 0< y < 100B. 0< y < 50C. 0 < y < 25D. 0 < y< 10

Your record bicycle pace along a favorite trail is 16 mph. On a recent ride, you traveled the 25 mile route in a time of 90 minutes. What was your average speed? Did it break your record pace?

Answers

Remember that d = rt or distance = rate times time. You want your answer in miles per hour so convert 90 minutes to 1.5 hours. Now plug in your values:
25mi = r*1.5hrs.
r = 25/1.5 = 16.667mph.

This is greater than 16mph so you did break your record pace.

Answer:

You did break your pace. You were able to travle about .7 miles per hour faster.

Step-by-step explanation:

Speed: Distance/time

Speed: 25/90

Speed: 16.6667 miles per hour

Speed: 16.7

In an experiment, three people toss a fair coin one at a time until one of them tosses a head. Determine, for each person, the probability that he or she tosses the first head. Verify that the sum of the three probabilities is 1.

Answers

Answer:

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Step-by-step explanation:

The coin theoretically could give a very large number of tails first so each person's probability is made up of an infinite series.

P(1st person wins) = P(H) + P(TTTH) + P(TTTTTTH) + . . . etc

= 1/2 + (1/2)^4 + (1/2)^7 + (1/2)^10 + . . .

This is a geometric series with first term a = 1/2 and common ratio r = 1/8

Using formula a/(1 - r) this is (1/2)/(7/8) = 4/7

P(2nd person wins) = P(TH) + P(TTTTH) + P(TTTTTTTH)

= (1/2)^2 + (1/2)^5 + (1/2)^8 + . . .

Geometric series with sum (1/4)/(7/8) = 2/7

P(3rd person wins) = P(TTH) + P(TTTTTH) + P(TTTTTTTTH) + . . .

= (1/2)^3 + (1/2)^6 + (1/2)^9 + . . .

Geometric series with sum (1/8)/(7/8) = 1/7

Players probabilities of winning are 4/7 , 2/7, 1/7 which of course sum to 1.

Hope this helped!

#1. A research group interested in understanding the effect of listening to classical music on learning mathematics conducted a study. One hundred students were randomly assigned to one of two groups. The first group listened to classical music as they learned a new lesson. The second group learned the same lesson with no music playing. Both groups were tested on the new material to determine how much they learned. The results for the two groups were compared. What kind of study is this?A. This is an observational study because students were randomly assigned to groups.

B. This is an observational study because a treatment was applied to both groups.

C. This is an experiment because a treatment was applied to a group.

D. This is an experiment because students were able to choose which group to join.

#3. ......Angie, a student in an advanced statistics course, was given an algebra test and she scored 80%. Is this an accurate predictor of how well students in the algebra class will perform on the test?

A. Yes, because Angie is representative of the population in the algebra class

B. Yes, because Angie scored high on the test so it must be easy

C. No, because Angie is not representative of the population in the algebra class

D. No, because Angie scored too high on the test

Answers

The correct answer to the first situation would be letter C. The situation was an experiment because a treatment was applied to the group (which in this case, is the experimental group).

The correct answer to the next question would be letter C. Angie is NOT are representative of the population in the algebra class.

3 2/3 = 2 + N/3 solve for N

Answers

If the question is 3*2/3=2+N/3
N=0

If the question is 2/3=2+N/3
N=-4

What is the constant of proportionality?

Answers

Answer:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.

Step-by-step explanation:

Here it is.

Constant of proportionality = 4

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