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3 years ago

9.2.11

Mathematics

1 answer:

MrRa [10]3 years ago

6 0

Answer:

34/69

Step-by-step explanation:

2 are jelly-filled

5 are lemon-filled

17 are custard-filled

Total: 24

First drawing:

There are 24 donuts in total, 17 of which are custard filled.

p1(custard filled) = 17/24

Second drawing:

There are now a total of 23 donuts, 16 of which are custard filled.

p2(custard) = 16/23

The two drawings are independent events, so the overall probability is the product of the individual probabilities.

Overall probability of drawing two custard filled donuts:

p(2 custard filled) = p1 * p2 = 17/24 * 16/23 = 17/3 * 2/23 = 34/69

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Subtract 5x−2 from −3x+4 .

mixas84 [53]

Answer:

8x + 6

Step-by-step explanation:

$5x - 2 - - 3x + 4 \\ = \: 5x - 2 + 3x + 4 \: \\ = 5x + 3x + 2 + 4 \: (add \: like \: terms \: together \: and \: switch \: over \: the \: - 2 \: making \: it \: a \: 2) \\ = \: 8x \: + 6$

This is actually the correct answer after I solved it continuously

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3 years ago

Find the 5th term of the arithmetic sequence −5x−6, -x-10,3x−14,.

Dominik [7]

I think this is going to help you understand the concept and hope that the answer is correct. Thanks for understanding.

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3 years ago

10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d

lbvjy [14]

Answer:

a) 504

b) 56

c) 0.111

Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= $^nP_r$

n = 9

r = 3

= ⁹P₃

= $\frac{9!}{9!-3!}$

= 9 × 8 × 7

= 504

b) 3-digit numbers start with the digit 1

= _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × $\frac{8!}{8!-2!}$

= 1 × 8 × 7

= 56

c) Probability that the 3-digit number formed is less than 200

Now,

The number of 3-digit number formed is less than 200 will be the 3-digit numbers start with the digit 1 i.e part b)

and total 3-digit numbers that can be formed is part a)

therefore,

Probability that the 3-digit number formed is less than 200

= 56 ÷ 504

= 0.111

5 0

4 years ago

Find the missing side or angle. round to nearest tenth A=18 B=28 C=100 a=?

igomit [66]

Answer:

The missing side, a = 100.50

Step-by-step explanation:

The given information are;

A = 18

B = 28

C = 100

a = Required,

The number of data points in the definition = 3, therefore, the figure is a three sided figure or a triangle

The sum of the given data is 18 + 28 + 100 = 146 which is less than the sum of the interior angles of a polygon, the minimum of which is 180° for a triangle.

However, the length of the two sides A and B are less than the third side C, therefore, the sides need more length for them to form a triangle

The fourth required information can be taken as the fourth side of a trapezium, to give;

Length of a = √((28 - 18)² + 100²) = 100.499, which can be written to the nearest 10th as 100.50.

7 0

4 years ago

Find the expression that represents the value of v. 2(v - 8) = n+y

Sophie [7]

Answer:

$v = \frac{n+y+16}{2}$

Step-by-step explanation:

2(v-8) = n+y

Distribute

2v-16 = n+y

Move -16 to the other side

2v = n+y+16

Divide everything by 2

$v = \frac{n+y+16}{2}$

4 0

2 years ago

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