Of those mountain climbers who attempt Mt. McKinley, only 65% reach the summit. In random sample of 11 mountain climbers who attempt to climb Mt. KcKinley, what is the probability of 11 mountain climbers reaching the summit? Round to 4 decimal values

Probability that all 11 sampled mountain climbers make it to the top of Mt. McKinley = 0.088

Step-by-step explanation:

This is a binomial distribution problem

Binomial distribution function is represented by

P(X = x) = ⁿCₓ pˣ qⁿ⁻ˣ

n = total number of sample spaces = number of mountain climbers sampled = 11

x = Number of successes required = 11

p = probability of success = Probability that one mountain climbers makes it the top of Mt. McKinley = 0.65

q = probability of failure = 1 - p = 0.35

P(X = 11) = ¹¹C₁₁ (0.65)¹¹ (0.35)¹¹⁻¹¹

P(X=11) = 0.00875078317 = 0.0088 to 4 d.p

Hope this Helps!!!

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

step-by-step explanation: