Answer:
k = 4
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
. So
P(X < k) = 0.6625
k only assumes discrete values, so
We have to find the cummulative distribution until we hit 0.6625. So
So k = 4
Answer/Step-by-step explanation:
1.
Apply the Quotient rule: i.e.
2.
Apply the product rule: i.e. .
Apply the negative exponent rule: i.e.
3.
Apply product rule
4.
Apply the rules of 1 and quotient rule
Answer:
an exponential growth function to represent this situation is:
Step-by-step explanation:
We know that the exponential growth function is of the form
where
- x(t) represents the value at time t
- x₀ represents the initial value at time t = 0. In other words, it is the initial value (the amount before measuring growth or decay)
- r represents the growth factor when r > 0 and decay factor when r < 0
- t represents the of time intervals that have passed
In our case,
Given that
A social media website had 100,000 followers its first year. Thus,
The number of followers increased by 9% each year. Thus,
Thus, substituting r = 0.09 and x₀ = 100,000 in the growth function
Therefore, an exponential growth function to represent this situation is:
To calculate the volume of a square base pyramid use the following formulae;
V=1/3* l^2 * h
Or V = 1/3 * l * w * h (for a rectangular base pyramid)
V = 1/3 * 54^2 * 260
V = 252,720
The volume of the building is therefore; 252,720 m3
Answer:
C they have equal x-intercepts
Step-by-step explanation: