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Lana71 [14]
3 years ago
15

Larry and Jack are playing a game of rock-paper-scissors. The probability that Larry will win two times in a row is. Using this

probability, determine if the event of Larry winning the first game and the second game was independent, dependent, both, or neither.
Mathematics
1 answer:
Komok [63]3 years ago
7 0
You need to state what the probability is, the information to solve this is missing. I’ll help if you can provide the rest :)
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Can anyone help me with this question?
Andreyy89

Answer:

x= 60°, y = 80°, z = 40°

Step-by-step explanation:

Look at the line substending 40° and Z°; you would see that both lines are parallel and so their angles are they the same.

Hence z= 40° { corresponding angles of parallel lines}

Similarly;

Look at the line substending 60° and x°; you would see that both lines are parallel and so their angles are they the same.

60° = x° { corresponding angles of parallel lines}

Now looking at the angle between x and y; let's call the angle between them r

And you would observe closely that r = z° = 40°{ vertically opposite angles are equal}

Note that x + r + y = 180°{ angle on a straight line}

y = 180° - ( x + r)

y = 180 - (60+40)

y = 180° - 100°

= 80°

6 0
3 years ago
Which rule yields the dilation of the figure KLMN centered at the origin?
IrinaK [193]

Answer:

The rule of dilation centered at the origin is (x , y) → (2x , 2y) ⇒ answer A

Step-by-step explanation:

* Lets talk about dilation

- A dilation is a transformation that changes the size of a figure.  

- It can become larger or smaller, but the shape of the

 figure does not change.  

- The scale factor, measures how much larger or smaller  

 the image will be

- If the scale factor greater than 1, then the image will be larger

- If the scale factor between 0 and 1, then the image will be smaller

- The dilation rule for any point (x , y) is (kx , ky), where k is the

  factor of dilation centered at origin

* Now lets solve the problem

- The figure KLMN has for vertices:

  K (3 , -3) , L (3 , 4) , M (5 , 4) , N (5 , -3) ⇒ (1)

- The image K'L'M'N' of figure KLMN after dilation about the origin

  has four vertices:

   K' (6 , -6) , L' (6 , 8) , M' (10 , 8) , N' (10 , -6) ⇒ (2)

- From (1) and (2)

# (3 , -3) ⇒ (6 , -6)

# (3 , 4) ⇒ (6 , 8)

# (5 , 4) ⇒ (10 , 8)

# (5 , -3) ⇒ (10 , -6)

- Each point in KLMN multiplied by 2

∴ The scale of dilation is 2

∴ The rule of dilation centered at the origin is (x , y) → (2x , 2y)

3 0
3 years ago
Read 2 more answers
How do you figure out (2x+1)^2
sveticcg [70]

♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫

➷ Here are the steps to solving that problem:

(2x+1)^2

=(2x+1)(2x+1)

=(2x)(2x)+(2x)(1)+(1)(2x)+(1)(1)

=4x^2+2x+2x+1

=4x^2+4x+1

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

TROLLER

8 0
3 years ago
Vernon earns a 5 percent commission for all the drills he sells
dybincka [34]

Answer: 37500

Step-by-step explanation:

100$ dollars commission is 500 so then you do 500 times 75.

Hoped this helped

8 0
3 years ago
Read 2 more answers
The following table gives projections of the U.S. population from 2000 to 2100.
PSYCHO15rus [73]

The equation of best fit is f(X) = 2.91964X + 265.86364.

f(65) = 455.64024. It means that the population, in millions, after 65 years from 2000 is 455.64024.

The slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Sum of X = 550

Sum of Y = 4530.3

Mean X = 50

Mean Y = 411.8455

Sum of squares (SSX) = 11000

Sum of products (SP) = 32116

Regression Equation = y = bX + a

b = \frac{SP}{SSX} = \frac{32116}{11000} = 2.91964

a = MY - bMX = 411.85 - (2.92*50) = 265.86364

y = 2.91964X + 265.86364

f(X) = 2.91964X + 265.86364

f(65) = 2.91964\times 65 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 189.7766 + 265.86364

f(65) = 455.64024

It means that the population, in millions, after 65 years from 2000 is 455.64024.

From the equation, f(X) = 2.91964X + 265.86364

the slope of the line is 2.91964 which means population is increasing at the rate of 2.91964 per year.

Learn more about line of best fit here:

brainly.com/question/14279419?referrer=searchResults

3 0
2 years ago
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