If abcd is dilated by a factor of 3, the coordinate of a would be?

Please help !

nadya68 [22]

Answer:

r(-2)= -5

r(0)= -7

r(5)= -12

6 0

2 years ago

You consider yourself a bit of an expert at playing rock-paper-scissors and estimate that the probability that you win any given

cestrela7 [59]

Answer:

a) 0.37

b) 0.421

c) 0.25

Step-by-step explanation:

Since the probability of winning a game is binomial (P = 0.5) the expected value for number of winning when you play 60 games is

$\mu = 60*0.5 = 30$

And the standard deviation:

$\sigma = 60*0.5*0.5 = 15$

a) the cumulative probability of winning at least 35 games is

$P(X \geq 35) = 1 - P(X < 35) = 1 - 0.631 = 0.37$

b) $P(X < 27) = 0.421$

c) $P(30 \leq X \leq 40) = P(X \leq 40) - P(X \leq 30) = 0.75 - 0.5 = 0.25$

7 0

3 years ago

There are four nickels, three dimes, and three quarters in your pocket. You randomly pick three coins and place them on a counte

kupik [55]

Total coins = 10 ( 4 + 3 + 3 = 10).

The probability of picking a nickel first = 4/10 = 2/5 ( 4 nickels out of 10 total).

The probability of picking a dime second = 3/9 = 1/3 ( 3 dimes out of 9 coins left).

The probability of picking the third coin as a quarter = 3/8 ( 3 quarters out of 8 coins left).

The probability of picking all three in that order = 2/5 x 1/3 x 3/8 = 1/20

3 0

3 years ago

The top of two poles of height's 20m and 14m are connected by the wire

Hatshy [7]

Answer:

The correct option is;

10 m

Step-by-step explanation:

The parameters given are;

Height of the first pole = 20 m

Height of the second pole = 14 m

The angle the wire connected to their top makes with the horizontal = 30°

The vertical height subtended by the inclined wire, h = The difference in height between the two poles = 20 - 14 = 6 m.

Let the horizontal distance between the two poles = D

Therefore;

The horizontal length of the wire = D

From trigonometric ratios, we have;

$tan(30 ^{\circ}) = \dfrac{h}{D} = \dfrac{6}{D}$

Which gives;

$D = \dfrac{6}{tan(30 ^{\circ}) } = 10.39 \ m\approx 10 \ m$

The correct option is 10 m.

5 0

3 years ago

The movie theater sells a total of 100 tickets and makes a total of $880. If the theater charges $6 per child's ticket and $10 p

lutik1710 [3]

Answer:the number of children tickets that were sold is 30.

the number of adult tickets that were sold is 70

Step-by-step explanation:

Let x represent the number of children tickets that were sold.

Let y represent the number of adult tickets that were sold.

The movie theater sells a total of 100 tickets. This means that

x + y = 100

The theater charges $6 per child's ticket and $10 per adult's ticket. The movie theater made a total of $880. It means that

6x + 10y = 880 - - - - - - - - - - -1

Substituting x = 100 - y into equation 2, it becomes

6(100 - y) + 10y = 880

600 - 6y + 10y = 880

- 6y + 10y = 880 - 600

4y = 280

y = 280/4 = 70

x = 100 - y = 100 - 70

x = 30

8 0

3 years ago