Answer:
option a)
0.286
Step-by-step explanation:
Given that,
number of red pens in cup = 5
number of black pens in cup = 10
number of pen randomly selected = 3
There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.
probability of having all red pens = (5/15 x 4/14 x 3/13)
= 2/91
probability of having all black pens = (10/15 x 9/14 x 8/13)
= 24/91
probability that all pen are of same colour = 24/91 + 2/91
= 2/7
≈ 0.286
Answer:
4 plants
Step-by-step explanation:
In this problem, we are given the total area of the garden, which is:

The number of plants that can fit inside the garden is given by the equation:

where:
n is the number of plants
a is the area of each plants
In this problem, the area of each plant is

Therefore, we can re-arrange the equation to find the number of plants that can fit:

Answer:
Population Mean = 2.0
Population Standard deviation = 0.03
Step-by-step explanation:
We are given that the inspector selects simple random samples of 30 finished products and computes the sample mean product weight.
Also, test results over a long period of time show that 5% of the values are over 2.1 pounds and 5% are under 1.9 pounds.
Now, mean of the population is given the average of two extreme boundaries because mean lies exactly in the middle of the distribution.
So, Mean,
=
= 2.0
Therefore, mean for the population of products produced with this process is 2.
Since, we are given that 5% of the values are under 1.9 pounds so we will calculate the z score value corresponding to a probability of 5% i.e.
z = -1.6449 {from z % table}
We know that z formula is given by ;
~ N(0,1)
-1.6449 =
⇒
⇒
0.0608 *
{as sample size is given 30}
⇒
= 0.03 .
Therefore, Standard deviation for the population of products produced with this process is 0.0333.
Answer: <em>it will actually be -3, 7</em>
The equation of a circle is (x - h)^2 + (y - k)^2 = r^2
x and y are left alone in a circle equation, while h and k are the coordinates of the center.
Thus, our equation is (x - 7)^2 + (y + 2)^2 = 61