Answer:
0.013
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Given n = 6, p = 0.69, and r = 0 or 1:
P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹
P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵
P = 0.013
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:

Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

Now we find the time when the population is 5*256=1,280. The equation to solve is:

Dividing by 256:

Taking natural logarithms:

Applying the logarithm properties:

Solving for t:

It will take 26.34 minutes for the population to reach 5 times its initial value
Explanatory variable, or the independent variable. The two are interchangeable, but explanatory is more likely to be used in statistics, and independent variable is used practically everywhere else.
Answer:
It would be number 3. 1/7,3/7,4/7,6/7
Step-by-step explanation:
For fractions if the denominator is the same you go to the numerator (the top number) to compare. The bigger the numerator is (like 6) the higher it should go on your list.
The surface area of a rectangular prism is 2210 cm^2 Then the other dimension is 70.3 cm
<h3><u>
Solution:</u></h3>
Given that surface area of rectangular prism is 2210 square centimeter
Also given that two of dimensions are 5 cm and 10 cm
To find: other dimension
<em><u>The total surface area of the rectangular prism is gievn as:</u></em>

Where, "l" is the length and "b" is the breadth and "h" is the height
The given values are: l = 5cm and b = 10cm
On substituting the given values in formula we get,

Thus the other dimension is 70.3 cm