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8_murik_8 [283]
3 years ago
14

From a box containing 6 black balls and 4 green balls, 3 balls are drawn in succession, each ball being re- placed in the box be

fore the next draw is made. What is the probability that (a) all 3 are the same color? (b) each color is represented?
Mathematics
1 answer:
Oksana_A [137]3 years ago
8 0

Answer:

a)6/25

b)100/100

Step-by-step explanation:

a)6/10  are black

4/10 are green

multiply the fractions,

b)100%

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Determine whether the vectors u and v are parallel, orthogonal, or neither. u = <6, -2>, v = <8, 24>
Leno4ka [110]
Because 6 * 8 + ( - 2 )* 24 = 48 - 48 = 0 , the vectora u and v are orthogonal ;
Two vectors are orthogonal  if their dot product is zero.<span />
5 0
3 years ago
What is the product of 5/12 and 8/15​
Nadusha1986 [10]

Answer: 2/9

Step-by-step explanation:

Simplify the expression.

6 0
2 years ago
What is 36.993 to the nearest thousandth
finlep [7]

The next larger thousandth is 36.994 .
The next smaller thousandth is  36.992 .
Neither of those is any nearer to  36.993
than  36.993  already is.

The last '3' at the end of 36.993 is in the thousandths' place.
There is no more piece of another thousandth after it.
So  36.993 is already on a complete thousandth, and
there's no rounding required.

7 0
3 years ago
Help please!! Step by step!!
GarryVolchara [31]

Answer:

P(Ice Cream|Frogtown) = 67.4\%

Step-by-step explanation:

Given

The attached plot

Required

P(Ice Cream|Frogtown)

This is calculated as:

P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

From the attachment;

P(Ice\ Cream\ n\ Frogtown) = 0.31

P(Frogtown) = 0.31 + 0.15 = 0.46

So, we have:

P(Ice Cream|Frogtown) = \frac{P(Ice\ Cream\ n\ Frogtown)}{P(Frogtown)}

P(Ice Cream|Frogtown) = \frac{0.31}{0.46}

P(Ice Cream|Frogtown) = 0.6739

Express as percentage

P(Ice Cream|Frogtown) = 0.6739 * 100\%

P(Ice Cream|Frogtown) = 67.39\%

P(Ice Cream|Frogtown) = 67.4\% -- approximated

5 0
3 years ago
Help please !! easy question i believe :))
kolezko [41]
Solve for x given two sides

Solution

x is an angle hence we are gonna use the formula Sin

Sin 0 = opp/hyp

0 represents theta.


Sin 0 = opp/hyp
Sin 0 = 27/33

Put 27/33 in decimal form

= 0.8181

Transpose to make 0 the subject


Sin 0 = 0.8181

0 = Sin-1 0.8181

When adding Sin from one side to another it becomes Sin inverse.

0 = Sin-1 08181

Now we find the answer

0 = Sin-1 0.8181

= 54.89 degrees

Therefore x is equal to 54.9 to the nearest tenth.
6 0
2 years ago
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