2.5 is the mean of this distribution.
What is the distribution's mean?
- The expected value, commonly known as the mean of a statistical distribution with a continuous random variable, is calculated by integrating the product of the variable's probability as described by the distribution.
- The lowercase Greek letter mu () stands for the expected value. A probability of 50% equals zero standard deviations, and the mean is in the middle of the normal distribution.
Given: p = 0.05 and n= 50
Mean of the binomial distribution = n×p = 50 × 0.05 = 2.5
Therefore, option a is the correct answer. Other options are incorrect because these are irrelevant.
Learn more about binomial distribution
brainly.com/question/14565246
#SPJ4
Answer:
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Explanation:
The sales are given by f(x) = 24.96x and the cost are represented by g(x) = 0.04x² + 4x + 71.
Then, the profit is equal to
p(x) = f(x) - g(x)
p(x) = 24.96x - (0.04x² + 4x + 71)
p(x) = 24.96x - 0.04x² - 4x - 71
p(x) = -0.04x² + 20.96x - 71
Therefore, the answer is
p(x) = f(x) - g(x) = -0.04x² + 20.96x - 71
Answer:
The equation that represents the population after T years is
![P_{t} = 7,632,819,325 [1 +\frac{1.09}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%207%2C632%2C819%2C325%20%5B1%20%2B%5Cfrac%7B1.09%7D%7B100%7D%20%5D%5E%7BT%7D)
Step-by-step explanation:
Population in the year 2018 ( P )= 7,632,819,325
Rate of increase R = 1.09 %
The population after T years is given by the formula
![P_{t} = P [1 +\frac{R}{100} ]^{T}](https://tex.z-dn.net/?f=P_%7Bt%7D%20%20%3D%20P%20%5B1%20%2B%5Cfrac%7BR%7D%7B100%7D%20%5D%5E%7BT%7D)
-------- (1)
Where P = population in 2018
R = rate of increase
T = time period
Put the values of P & R in above equation we get
This is the equation that represents the population after T years.
Answer:
- (0, 26)
- (-6.5, 0)
Step-by-step explanation:
Turn the equation into slope-intercept form [ y = mx + b ].
y - 6 = 4(x + 5)
y - 6 = 4x + 20
y = 4x + 26
We know that b = y-intercept for the y-intercept is 26.
Substitute 0 for y to find the x intercept.
0 = 4x + 26
-26 = 4x
-6.5 = x
Best of Luck!
Step-by-step explanation:
We have to know that in order to solve for the volume of a rectangular prism, we have to use this formula: l * w * h. This stands for length multiplied by width multiplied by height.
<u>Step 1</u>
Let's look at the numbers we already have. The height of the prism is 4 feet and the width is 5 feet. When we multiply them together, we got 20 feet.
<u>Step 2</u>
The volume of this prism adds up to 150 square feet. To find the length of this prism, we have to divide 150 by 20.
Our final answer: l = 7.5 feet
We can check our answer by multiplying all the numbers together.
4 * 5* 7.5 = 150
