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IrinaK [193]
3 years ago
10

A bag contains 4 red balls and 6 green balls. You plan to select 3 balls at random. Determine the probability of selecting 3 gre

en balls.
Mathematics
2 answers:
Komok [63]3 years ago
8 0
Add the total number of balls and then see how many balls you are pulling and put it into a fraction and then simplify. So it would be 3/10
Pavlova-9 [17]3 years ago
5 0
Total number of balls = 10
Red: 4/10chance of being selected
Green: 6/10 chance of being selected
Basically, there is a way higher chance of selecting 3 green balls and an even HIGHER chance of selecting 6!
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Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i
dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s

Also,

v=r\omega

Where

\omega is the angular speed

So,

\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0
3 years ago
Greenfield village is spread across 240 acres of land. Only 37% of the land is used for the exhibits, while the rest of the land
Sergeeva-Olga [200]

Answer:

The land which are used for exhibits are <u>89 acres</u> (approximately).

Step-by-step explanation:

Given:

Village is spread across 240 acres of land. 37%  of land is used for the exhibits.

Now, we have to find acres of land which are used for exhibits.

So, here it is given that land used for exhibits is 37%, and we have to calculate the quantity from the percentage given:

According to question:

37% of 240 acres of land.

\frac{37}{100}\times 240

0.37\times 240

88.80

So, the land used for exhibits are 88.80 acres.

Therefore, the land which are used for exhibits are <u>89 acres </u>(approximately).

5 0
3 years ago
If the mean of the data below is 3.8, find m<br>x 1 2 3 4 5 6<br>f 1 4 7 m 6 3​
zloy xaker [14]

Answer:

m = 1.8

Step-by-step explanation:

Given data is as follows :

x 1 2 3 4 5 6

f 1 4 7 m 6 3​

We need to find the value of m if the mean of the data is 3.8.

Mean = sum of observations/no. of observations

So,

3.8=\dfrac{1+4+7+m+6+3}{6}\\\\22.8=21+m\\\\22.8-21=m\\\\m=1.8

So, the value of m is equal to 1.8.

8 0
3 years ago
If "z" is a standard normal variable, find the probability that "z" is less than 1.16. Sketch the graph and the required area.
mixer [17]

Answer:

Step-by-step explanation:

It would be more obvious if it says z is a standard Normal variable and that the question is related to statistics.

From "Computing Probabilities Using the Cumulative Table" , the probability of z is less than 1.16, P(z<1.16) = 0.8770.

7 0
2 years ago
How many solutions does the following equation have?<br> -6(x + 7) = -4.x - 2
mestny [16]

Answer:

x=-20

Step-by-step explanation:

Given

-6(x+7)= -4x - 2

First of all, we have to solve brackets

So,

-6x-42=-4x-2

To find the solution of this equation, we have to isolate x on one side of the equation.

Adding 4x on both sides

-6x-42+4x = -2-4x+4x

-2x-42 = -2

Adding 42 on both sides

-2x-42+42 = -2+42

-2x=40

Dividing both sides by -2

-2x/2 = 40/-2

x = -20

The equation has only one solution which is x=-20 ..

5 0
3 years ago
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