The polygons below are similar. Find the value of y. (2 points)

Pietro made 18 baskets during a basketball game.The number of 3 pointers are 3 more than half of the 2 point shots.how many type

blagie [28]

Total points is 23

<u>Explanation:</u>

Given:

Total number of baskets = 18

Let the number of 2 pointer shots be x

Let the number of 3 pointer shots be y

According to the question:

$y = \frac{x}{2} + 3$ -1

The equation can be formed as:

$\frac{x}{2} + 3 + x = 18$

On solving this equation further we get:

$\frac{x+6+2x}{2} = 18\\\\9x = 36\\\\x = 4$

Putting the value of x = 4 in equation 1

$y = \frac{x}{2}+3\\ \\y = \frac{4}{2} + 3\\\\y = 5$

Points for 2 pointer shots = 4 X 2

= 8

Points for 3 pointer shots = 5 X 3

= 15

Total points = 8 + 15

= 23

Therefore, total points is 23

5 0

2 years ago

Bill, George, and Ross, in order, roll a die. The first one to roll an even number wins and the game is ended. What is the proba

hram777 [196]

Answer: $0.5714\frac{1}{15}$

Step-by-step explanation:

Given that Bill, George, and Ross, in order, roll a die.

The first one to roll an even number wins and the game is ended.

Since Bill starts the game he can win by throwing even number or lose by throwing odd number

P(win) = 0.5, otherwise, the die will go to George. For Bill to win, both George and Ross should throw an odd number so that Bill again gets the chance with game non ending.

Thus we have Prob of Bill winning =P of Bill winning in I throw +P of Bill winning in his II chance of throw +....infinitely

To get back the dice once he loses probability

= p both throws odd = $0.5(0.5) = 0.25$

Thus Prob for Bill winning

= $0.5+0.25(0.5)^2+0.25(0.5)^3(0.25)+...$

This is an infinite geometric series with I term 0.5 and common ratio 0.125<1

Sum = $\frac{a}{1-r} =\frac{0.5}{1-0.125} =0.5714$

4 0

1 year ago

The national mean annual salary for a school administrator is $90,00 a year (The Cincinnati Enquirer, April 7, 2012). A school o

timofeeve [1]

Answer:31) The Coca-Cola Company reported that the mean per capita annual sales of its beverages in the United Sates was 423 eight-ounce servings. Suppose you are curious whether the consumption of Coca-Cola beverages is higher in Atlanta. A sample of 36 individuals from the Atlanta area showed a sample mean annual consumption of 460.4 eight ounce servings with a standard deviation of s=101.9 ounces. Using a=.05, do the sample results support the conclusion that mean annual consumption of Coca-Cola beverage products is higher in Atlanta

Step-by-step explanation:29) The national mean annual salary for a school administrator is $90,000 a year. (The Cincinnati Enquirer, April 7, 2012) A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.

a) Formulate hypotheses that can be used to determine whether the population mean annaual administrator salary in Ohio differs from the nation mean of $90,000.

b) The sample data for 25 Ohio administrators is contained in the file named Administrator. What is the p-value for you hypothesis test in part (a)?

c) A a=.05 can your null hypothesis be rejected? What is your conclusion?

d) Repeat the preceding hypothesis test using the critical value approach.

6 0

1 year ago

Which graph represents the function f (x) = StartFraction 3 x minus 2 Over x minus 2 EndFraction? On a coordinate plane, a hyper

Gennadij [26K]

Answer:

D

Step-by-step explanation:

right on edge

5 0

2 years ago