2. Which statement is true?

A drawer contains 6 black neckties, 2 white neckties,4 red neckties,2 maroon neckties and 2 blue neckties. One necktie is picked

kogti [31]

A) The probability of picking a white tie 300 times = $(\frac{1}{8}) ^{300}$

B) The probability of picking a blue tie 300 times = $(\frac{1}{8}) ^{300}$

C) The probability of picking a red tie 300 times = $(\frac{1}{4}) ^{300}$

D) the probability of picking a black tie 300 times = $(\frac{3}{8}) ^{300}$

E ) the probability of picking a maroon tie 300 times = $(\frac{1}{8}) ^{300}$

F) the probability of NOT picking a white tie 300 times = $(\frac{7}{8}) ^{300}$

Step-by-step explanation:

Here, the total number of black neckties = 6

The total number of white neckties = 2

The total number of red neckties = 4

The total number of maroon neckties = 2

The total number of blue neckties = 2

The number of times the experiment is repeated = 300

A ) P(Picking a white tie) = $\frac{\textrm{Total number of white ties}}{\textrm{Total Bow ties}}$

= $\frac{2}{16} = \frac{1}{8}$

So, the probability of picking a white ONCE is 1/8.

Now, as the experiment is REPEATED 300 times with replacement.

So, the probability of picking a white tie 300 times = $(\frac{1}{8}) ^{300}$

B) P(Picking a BLUE tie) = $\frac{\textrm{Total number of blue ties}}{\textrm{Total Bow ties}} = \frac{2}{16} = \frac{1}{8}$

So, the probability of picking a blue ONCE is 1/8.

Hence, the probability of picking a blue tie 300 times = $(\frac{1}{8}) ^{300}$

C) P(Picking a Red tie) = $\frac{\textrm{Total number of Red ties}}{\textrm{Total Bow ties}} = \frac{4}{16} = \frac{1}{4}$

So, the probability of picking a red ONCE is 1/4.

Hence, the probability of picking a red tie 300 times = $(\frac{1}{4}) ^{300}$

D) P(Picking a Black tie) = $\frac{\textrm{Total number of black ties}}{\textrm{Total Bow ties}} = \frac{6}{16} = \frac{3}{8}$

So, the probability of picking a red ONCE is 3/8.

Hence, the probability of picking a black tie 300 times = $(\frac{3}{8}) ^{300}$

E) P(Picking a maroon tie) = $\frac{\textrm{Total number of maroon ties}}{\textrm{Total Bow ties}} = \frac{2}{16} = \frac{1}{8}$

So, the probability of picking a maroon ONCE is 1/8.

Hence, the probability of picking a maroon tie 300 times = $(\frac{1}{8}) ^{300}$

F) P(Picking a NOT whiten tie) = 1 - P( picking a white tie)

$= 1-(\frac{1}{8} ) = \frac{8-1}{8} = (\frac{7}{8} )$

So, the probability of NOT picking a white ONCE is 7/8.

Hence, the probability of NOT picking a white tie 300 times = $(\frac{7}{8}) ^{300}$

4 0

3 years ago

11. The formula for the volume, V, of a sphere with radius r

Anna007 [38]

The volume of the baseball, to the nearest cubic inch, is A. 6 inches³

Volume is a degree of occupied three-dimensional space. it is often quantified numerically as the usage of SI-derived devices or with the aid of various imperial units.

Whereas the fundamental method for the region of a rectangular form is period × width, the fundamental formulation for volume is duration × width × top. How you talk to the distinctive dimensions does no longer exchange the calculation: you may, as an example, use 'depth' instead of 'peak'.

Quantity is the measure of the capacity that an object holds. For instance, if a cup can keep 100 ml of water as much as the brim, its volume is said to be 100 ml. Quantity can also be defined as the quantity of space occupied by way of a three-dimensional object.

The volume of a sphere is calculated by the formula:

= 4/3 x π x radius ³

A baseball is a sphere and in this case, its radius is 1.13 inches.

The volume of the baseball is:

= 4/3 x 22/7 x 1.13³

= 4/3 x 22/7 x 1.442897

= 6.0464 inches³

To the nearest inch it is:

= 6 inches ³

Learn more about volume here brainly.com/question/1972490

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3 0

2 years ago

Me pueden ayudar con esta pregunta ¡por favor!

maxonik [38]

Answer:

English please

Step-by-step explanation:

english

3 0

4 years ago

Find the volume make it an improper fraction then a mixed number please do a step by step explanation and I will give you brainl

Andrews [41]

Answer:

8463/32=264 15/32

Step-by-step explanation:

Let's make every fraction improper first.

7 3/4=31/4

5 2/8=42/8

6 1/2=13/2

Simplify 42/8

42/8=21/4

21/4

31/4

13/2=26/4

21/14*31/4*26/4=(21*31*26)/64=16926/64=8463/32

3 0

2 years ago

A chef is making chicken noodle soup. The recipe calls for 1/4 cup of celery for each bowl of soup. If the chef has 9 1/2 cups o

fomenos

Answer:

Step-by-step explanation:9 1/2 cups / (1/4 cups/bowl) = 19/2 cups x 4 bowls/cup = 76/2 bowls = 38 bowls. QED.

5 0

3 years ago