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vodomira [7]
3 years ago
12

There are 7 cards with a picture of a rose and 2 cards with a picture of a daisy. Alfa keeps all the cards face down on the tabl

e with the pictures hidden and mixes them up. She then turns over one card face up and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alfa turns over has a rose on it? 6 over 9 6 over 8 7 over 9 7 over 8
Mathematics
2 answers:
VladimirAG [237]3 years ago
4 0
The answer would be 6/8 because she has already taken out one of the rose cards, so now you're only left with 8 cards. There are still 2 daisy cards, so you would subtract 8 by 2 and get 6. This makes it 6/8.
vekshin13 years ago
4 0

Answer: \dfrac{6}{8} or 6 over 8.

Step-by-step explanation:

Given: The number of card having rose on it  = 7

The number of card having daisy on it = 2

Then the total number of cards on table = 7+2=9

After removing one rose card , the total number of cards left on table = 8

The number of rose card left on table = 6

Now, the required probability is given by :-

\text{P(Rose)}=\dfrac{\text{Number of rose card }}{\text{Total cards}}\\\\\Rightarrow\text{P(Rose)}=\dfrac{6}{8}

Hence, the probability that the card that Alfa turns over has a rose on it = \dfrac{6}{8}

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Simplify 3^8 x 3^4 / 3^2 x 3^8 leaving your answer in index form
Furkat [3]

Answer:

3² or 9

Step-by-step explanation:

Step 1: Add exponents

\frac{3^{12}}{3^{10}}

Step 2: Subtract exponents

You should get 3² because of exponent rules. Remember when you multiply exponents you add the powers and when you divide exponents you subtract the powers.

3 0
2 years ago
Read 2 more answers
What are the coordinates of the centroid of a triangle with vertices A(−3, 1) , B(1, 6) , and C(5, 2) ? Enter your answer in the
kirza4 [7]

<u>ANSWER</u>: The centroid is (1,3)


<u>Explanation:</u>

The centroid is the intersection of the medians of the triangle.

So we need to find the equation of any two of the medians and solve simultaneously.


Since the median is the straight line from one vertex to the midpoint of the opposite side, we find the midpoint of any two sides.


We find the midpoint of AC using the formula;

N=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})



N=(\frac{-3+5}{2}, \frac{1+2}{2})


N=(\frac{2}{2}, \frac{3}{2})


N=(1, \frac{3}{2})


The equation of the median passes through B(1,6) and N=(1, \frac{3}{2}).


This line is parallel to the y-axis hence has equation

x=1-------first median.



We also find the midpoint M of BC.

M=(\frac{1+5}{2}, \frac{6+2}{2})


M=(\frac{6}{2}, \frac{8}{2})


M=(3, 4)


The slope of the median, AM is


Slope_{AM}=\frac{4-1}{3--3}


Slope_{AM}=\frac{3}{6}


Slope_{AM}=\frac{1}{2}


The equation of the median AM is given by;


y-y_1=m(x-x_1)


We use the point M and the slope of AM.


y-4=\frac{1}{2}(x-3)


2y-8=(x-3)


2y-x=-3+8


2y-x=5-------Second median

We now solve the equation of the two medians simultaneously by putting x=1 in to the equation of the second median.


2y-1=5


2y=5+1


2y=6


y=3


Hence the centroid has coordinates (1,3)























7 0
3 years ago
Read 2 more answers
Answers? Or a hint please I’m begging
olga2289 [7]
Hmm I would say x=q
Hope this helps u <3
6 0
3 years ago
I really need help, I haven't been to school In a while and I kinda forgot what to do. So If anyone is kind enough, please help
marissa [1.9K]

Answer:

P = 20x + 6y + 10

Step-by-step explanation:

The perimeter (P) of the figure is the sum of the sides , that is

P = 2x - y + 3x + 5y + 12 + 6x + 9x + 2y - 2 ← collect like terms

  = 20x + 6y + 10

3 0
2 years ago
A paved walkway around a garden has an outer diameter of 80 ft and an inner diameter of 40 ft. A diagram is shown below.
k0ka [10]

Given:

  • Outer diameter = D = 80 ft
  • Inner diameter = d = 40 ft

So,

Outer radius = R = D/2

=> R = (80 ft)/2

=> R = 40 ft

Inner radius = r = d/2

=> r = (40 ft)/2

=> r = 20 ft

Area of paved pathway = πR² - πr²

= π(R² - r²)

= π(R + r)(R - r)

= π(40 + 20)(40 - 20) ft²

= π(60)(20) ft²

= 3.14 * 1200 ft²

= 3768 ft²

6 0
2 years ago
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