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devlian [24]
3 years ago
8

Assume that two marbles are drawn without replacement from a box with 1 blue, 3 white, 2 green, and 2 red marbles. Find the prob

ability of the indicated result. 16) The second marble is blue, given that the first marble is white
Mathematics
1 answer:
tatuchka [14]3 years ago
7 0

Answer:

second marble is blue and  first marble is white is  \frac{1}{7}

Step-by-step explanation:

given data

two marbles

box = 1 blue, 3 white, 2 green, and 2 red marbles

                                                                           

solution

we get here second marble is blue and given that the first marble is white

= P(3c1 × 1c1) ÷ P(3c1 × 7c1)          ................................................1

= 1c1 ÷ 7c1

= 1 ÷ 7

so second marble is blue and  first marble is white is  \frac{1}{7}

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Sam rolled a die 75 times. On 39 of those rolls, he had a 6. Which statement is TRUE when the probabilities are compared?
svetlana [45]

Answer:

D)The experimental probability is greater than the theoretical probability

Step-by-step explanation:

Given:

75 times a die is rolled out of 39 times it got 6

To Find :

Which statement is true?

Solution:

The theoretical probability is given by the ,

Pt=No.of favorable outcomes/Total outcomes

Here favorable is getting 6 on the die

so how many times we can get 6 =1 time

Total outcomes =6

Pt=1/6

Pt=0.1667

Now for

The experimental Probability ,

Pe=Number times that event occur /Total no of trails

Here 39 times we get 6 and total no trails are 75

Pe=39/75

Pe=0.52

Hence we can say that Pe>Pt.

8 0
3 years ago
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Mekhanik [1.2K]
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Which of the following is NOT an integer? A. 8/2 B. 1/4 C. 0 D. -5​
vovangra [49]

Answer:

B. 1/4

Step-by-step explanation:

Even though A is a fraction it is also an integer (4)

6 0
2 years ago
Find the area of the circle with the given radius or diameter. Use = 3.14. d=13
leva [86]
Area of a triangle = \pi r^{2}
r = diameter/2
so area = pi * (13/2)^2
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3 years ago
Solve by taking the square root I need help understanding steps this is hard for me. ​
Shalnov [3]

Answer:

x= -2 \pm \sqrt{13}

Step-by-step explanation:

Given: 3x^{2} -12x+27= 0

This is a quadratic equation.

3x^{2} -12x+27= 0

Taking common 3 from the equation given

⇒ 3(x^{2} -4x+9)=0

dividing both side by 3

⇒ x^{2} -4x+9=0

By using different factor, we can observe this trinomial can not be factored.

∴ solving it by completing the square.

⇒ x^{2} -4x+9=0

adding 9 on both side

⇒ x^{2} -4x= 9

To get a perfect square number as coeffecient of x is 4, lets add both side by 4.

⇒x^{2} -4x+4= 13

we know, (x+2)^{2} = x^{2} +2\times x\times 2+2^{2}

∴ (x+2)^{2} =13

Taking Square root on both side, remember; √a²= a

⇒ (x+2)= \sqrt{13}

opening parenthesis

⇒ x+2= \sqrt{13}

subtracting both side by 2

∴ x= -2 \pm \sqrt{13}

7 0
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