The best answer is ,"Treatment X is likely to improve the eyesight of people who have poor eyesight" because Treatment X is likely to improve eyesight, and the participates had poor eyesight to begin with.

The probability that the spinner will stop in a particular sector depends on the angle of the sector, not on the size of the sector. The radii of the sectors is therefore irrelevant.

The two larger green sectors are each one third of a quarter circle, and each is a sector of measure

.

The two smaller ones are each a half of a quarter circle, and each is a sector of measure 

.

Therefore, the total angle measure of the green sectors is

.

The probability that the spinner will stop in a green sector is found by taking this out of a total of :

To figure out this probability, we will take the total number of people under swimming and divide by the total number of people.

Probability of each event = (# queens)/ Total # of cards

P1 = 4 / 52

Second event assumes a queen  was chosen for first event so there is one less queen and also one less card:

P2 = 3 / 51

Probability for multiple events = P1 x P2

(4 / 52) * (3 / 51)

( 4 * 3) / (52 * 51 ) = 12 / 2652 = 0.0045

Find the probabilty a junior's name will be pulled for a single lottery trial.  Then calculate the probability given 150 lottery trials.

(200 seniors * 2 entries each) + 300 juniors = 700 entries

For any single junior then, the odds are 1/700 for a single lottery trial.

For 150 trials, a junior will have (1/700 * 150 trials) = 150/700, which simplifies to

3/14 

We start by cross multiplying to get the equation 26t=19t-95. We then subtract 19t from 26t giving us 7t= -95. We then divide by 7, giving us t= (-95)/7.

1. Solve for x in x/3 = 50

2. x = 150

3.Substitute 150 for x in x/10

4. x = 15

There are only x * 10 liters of water on the island. n * m equals how many liters are consumed per day. Divide x * 10 liters by n * m. Note the units (days) are correct in the answer.

The amount of money that Lauren can make depends on the number of sweaters that she can make. If she makes at most s sweaters a day, then we can multiply the number of days that she works by s to determine the total number of sweaters she makes.

total number of sweaters = (s)(number of days)

We are told to consider a time interval of three weeks. Because there are seven days in one week, the number of days over this period of time would equal 3(7), or 21 days. In other words, there are 21 days in three weeks Thus, the number of sweaters is equal to the product of s and 21.

total number of sweaters = (s)(21)

Now that we have the number of sweaters Lauren can make, we can multiply this by the cost of each sweater, which is equal to c cents, in order to obtain the amount of money she eared.

amount of money earned = (number of sweaters)(cost of each sweater)

amount of money earned = s(21)(c)

However, because the price of each sweater is given in terms of cents, the amount of money s(21)(c) will be equal to the number of cents she makes. The question, though, asks us to find the amount of money in dollars. We must use a conversion factor to change the number of cents to dollars. Remember that there are 100 cents per dollar. 

To find 40 percent of  multiply

The result is