James jogged around the track 0.68 hours at an average speed 28.9 miles per hour how far did he jog?

A box contains 3 green marbles, 5 blue marbles, and 7 red marbles. Three marbles are selected at random from the box, one at a t

USPshnik [31]

Answer:

The probability is $P(K) = \frac{ 28 }{195}$

Step-by-step explanation:

From the question we are told that

The number of green marbles is $n_g = 3$

The number of red marbles is $n_b = 5$

The number of red marbles is $n_r = 7$

Generally the total number of marbles is mathematically represented as

$n_t = n_r + n_g + n_ b$

$n_t = 7 + 3 + 5$

$n_t = 5$

Generally total number of marbles that are not red is

$n_k = n_g + n_ b$

=> $n_k = 3 + 5$

=> $n_k = 8$

The probability of the first ball not being red is mathematically represented as

$P(r') = \frac{n_k}{n_t}$

=> $P(r') = \frac{ 8}{15}$

The probability of the second ball not being red is mathematically represented as

$P(r'') = \frac{n_k - 1}{n_t -1}$

=> $P(r'') = \frac{ 8 -1 }{15-1}$ (the subtraction is because the marbles where selected without replacement )

=> $P(r'') = \frac{ 7 }{14}$

The probability that the first two balls is not red is mathematically represented as

$P(R) = P(r') * P(r'')$

=> $P(R) = \frac{ 8}{15} * \frac{ 7 }{14}$

=> $P(R) = \frac{ 8 }{30}$

The probability of the third ball being red is mathematically represented as

$P(r) = \frac{n_r}{ n_t -2}$ (the subtraction is because the marbles where selected without replacement )

$P(r) = \frac{7}{ 15 -2}$

=> $P(r) = \frac{7}{ 13}$

Generally the probability of the first two marble not being red and the third marble being red is mathematically represented as

$P(K) = P(R) * P(r)$

$P(K) = \frac{ 8 }{30} * \frac{7}{ 13}$

=> $P(K) = \frac{ 28 }{195}$

6 0

3 years ago

Give me one example of an item where you would need to find the area of a square. Also, Give me one example of an item where you

monitta

An example of an item where you would need to find the area of a square is a square table.

An example of an item where you would need to find the area of a rectangle is a phone that has a rectangular shape.

<h3>How to calculate the area?</h3>

It's important to note that the area of a square is the multiplication of its sides by itself. For example, if the side is 4cm, the area will be:

= 4²

= 4 × 4.

= 16cm²

The area of a rectangle will be:

= Length × Width

Assuming length and width are 5cm and 2cm. This will be:

= 5 × 2

= 10cm²

Learn more about area on:

brainly.com/question/25292087

#SPJ1

6 0

1 year ago

I WILL GIVE BRAINLIEST AND 80 POINTS IF YOU GET IT RIGHT

zysi [14]

Answer:nice!

Step-by-step explanation:

4 0

2 years ago

Which expression is NOT an expression equivalent to (32) (2) (33)? Select all that apply.

max2010maxim [7]

I think is OB, I’m not too sure tho

7 0

3 years ago

Which of the following equations describes the graph shown above

andrey2020 [161]

Answer: D

Step-by-step explanation:

this is in y=Mx+ b form. M stands for the slope and b stands for the y intercept, or where the line intersects with the y-axis.

Going left to right, the line slopes downwards, therefore it is a negative Slope. This narrows down your answer to either a or d. the slope is -1 because you can only ever write x by itself if it means 1x. In this case it is negative so it would look like this: -x

for the y-intercept, simply look at where the line passes through the y-axis. In this case, it is positive 2.

your finished equation would be: y=-x+2

i hope this is helpful

8 0

2 years ago