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Over [174]
3 years ago
7

[2] (c) Another bag contains 15 red beads and 10 yellow beads. Ariana picks a bead at random, records its colour and replaces it

in the bag. She then picks another bead at random. (1) Find the probability that she picks two red beads. [2] (ii) Find the probability that she does not pick two red beads. (0)​
Mathematics
1 answer:
zlopas [31]3 years ago
7 0

Answer:

(c)

<u>Total number of beads:</u>

  • 15 + 10 = 25

(i)

<u>Probability of 2 red:</u>

  • P(RR) = 15/25*15/25 = 9/25

(ii)

<u>Probability of no 2 red:</u>

  • P(R'R') = 1 - 9/25 = 16/25
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Nth term of 1 8 15 22 29
k0ka [10]
This is an arithmetic sequence because each term is 7 greater than the previous term, so 7 is what is called the common difference...

Any arithmetic sequence can be expressed as:

a(n)=a+d(n-1), a=first term, d=common difference, n=term number.

We know a=1 and d=7 so:

a(n)=1+7(n-1)

a(n)=1+7n-7

a(n)=7n-6 

The above is the "rule" for the nth term.
8 0
3 years ago
Read 2 more answers
An architect designs a rectangular flower garden such that the width is exactly​ two-thirds of the length. If 310 feet of antiqu
Alona [7]

The length and width of the garden are 93 feet and 62 feet respectively.

<u><em>Explanation</em></u>

Suppose, the length of the rectangular garden is x feet.

As the width is exactly​ two-thirds of the length, so the width of the garden will be: \frac{2x}{3} feet.

310 feet of antique picket fencing are to be used to enclose the​ garden. It means, <u>the perimeter of the garden is 310 feet</u>.

<u>Formula for perimeter of rectangle</u> = 2(length+width)

So, the equation will be....

2(x+\frac{2x}{3})= 310\\ \\ x+\frac{2x}{3}= \frac{310}{2}\\ \\ \frac{5x}{3}=155\\ \\ 5x= 465\\ \\ x= \frac{465}{5}=93

So, the length of the garden is 93 feet and the width is (\frac{2*93}{3})=62 feet.

7 0
3 years ago
Help find the distance between two points?
miv72 [106K]

Answer:

4

Step-by-step explanation:

Calculate the distance using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = B(0, 0) and (x₂, y₂ ) = (\frac{\sqrt{6} }{2}, \frac{\sqrt{58} }{2} )

AB = \sqrt{((\frac{\sqrt{6} }{2})^2 } + \{(\frac{\sqrt{58} }{2})^2 }

= \sqrt{\frac{6}{4} } + \frac{58}{4}

= \sqrt{\frac{64}{4} }

= \sqrt{16}

= 4

7 0
4 years ago
The town of Lantana needs $14,000 for a new playground Lantana elementary school raised 5358, Lantana Middle School raised $2,83
slavikrds [6]

Answer: The answer is actually 1,676. But you can estimate it to 2,000. so the town of Lantana would have about 2,000 dollasrs left to raise to reach there goal.

Step-by-step explanation:

You would first make sure you add all the number like 5,358+2,834+4,132. And once you get you answer you subtract 14,000 from the number you got!

I really hope that helps.

8 0
2 years ago
Read 2 more answers
For what values of K does x2+kx+9=0
Airida [17]

Answer:

k = 6

Step-by-step explanation:

x {}^{2}  + kx + 9 = 0

here,

a = 1,

b = k

c = 9

now,

D = b {}^{2}  - 4ac

k {}^{2}  - 4(1)(9) = 0 \\   k {}^{2}  - 36 = 0 \\ k {}^{2}  = 36 \\ k = 6

4 0
3 years ago
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