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Licemer1 [7]
3 years ago
6

A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting i

t back, then drawing a black ball? (write your answer as a simplified fraction)
Mathematics
1 answer:
KonstantinChe [14]3 years ago
7 0

Answer:

2/45

Step-by-step explanation:

We are told that:

A jar contains 2 orange, 4 green, 2 white and 2 black balls.

The total number of balls in the jar is calculated as:

2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls

The probability of drawing an orange ball = P(Orange) = 2/10

The probability of drawing a black ball = P(Black) = 2/10

Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:

2/10 × 2/9 = 4/90

= 2/45

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Marcus has one book less than three times the number of books that Jessie has. Use the algebra tiles to create a model of the nu
Talja [164]

Answer:

Let's define the variables:

M =  number of books that Marcus has.

x =  number of books that Jessie has.

We know that:

"Marcus has one book less than three times the number of books that Jessie has."

Then the equation that represents the number of books that Marcus has is:

M = 3*x - 1.

Then if x tiles represent the number of books that Jessie has, the number of tiles for Marcus will be 3 times that, and then subtract one tile.

8 0
3 years ago
xP(x)00.2510.0520.1530.55Find the standard deviation of this probability distribution. Give your answer to at least 2 decimal pl
Nookie1986 [14]

The Solution:

Given:

Required:

Find the standard deviation of the probability distribution.

Step 1:

Find the expected value of the probability distribution.

E(x)=\mu=\sum_{i\mathop{=}0}^3x_iP_(x_i)\begin{gathered} \mu=(0\times0.25)+(1\times0.05)+(2\times0.15)+(3\times0.55) \\  \\ \mu=0+0.05+0.30+1.65=2.0 \end{gathered}

Step 2:

Find the standard deviation.

Standard\text{ Deviation}=\sqrt{\sum_{i\mathop{=}0}^3(x_i-\mu)^2P_(x_i)}=(0-2)^2(0.25)+(1-2)^2(0.05)+(2-2)^2(0.15)+(3-2)^2(0.55)=4(0.25)+1(0.05)+0(0.15)+1(0.55)=1+0.05+0+0.55=1.60

Thus, the standard deviation is 1.60

Answer:

1.60

8 0
1 year ago
Conclusions from data - confidence intervals and margins of error <br> right answers only!
mrs_skeptik [129]

Answer:

1. .1010 2. 2.064 3. .393

Step-by-step explanation:

5 0
3 years ago
2 (k + 2) = 8k - 5 - 3k
ruslelena [56]

Answer:

k=3

Step-by-step explanation:

7 0
4 years ago
Read 2 more answers
A. All points are translated 3 units right and 1 unit down
irga5000 [103]

Hello!

Given that the red graph is the original graph, and the blue dotted graph is the translated graph, we need to find how much units the dotted graph had translated from the original graph.

We are given the vertex of the original graph being (-2, -4). The x-value of the dotted graph, being 1, tells us that the graph translated 3 units to the right. While the y-value of the dotted graph translated 1 unit down because the original y-value was -4, and the dotted graph is at -5.

Therefore, the answer is choice A, all points are translated 3 units right and 1 unit down.

4 0
3 years ago
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