Answer:
Step-by-step explanation:
Since the probability that Steven Adams makes any given free throw is fixed at 0.502, then this is a binomial probability. It is either he makes a free throw or he doesn't. The probability of success, p = 0.502
The probability of failure, q = 1 - p
q = 1 - 0.502 = 0.498
a) We want to determine P(x ≥ 7)
n = 8
Using the binomial probability calculator,
P(x ≥ 7) = 0.036
b) We want to determine P(x ≥ 70)
n = 80
Using the binomial probability calculator,
P(x ≥ 70) < 0.000001
c) Mean = np = 8 × 0.502 = 4.016
Standard deviation = √npq = √(8 × 0.502 × 0.498) = 1.41
d) Mean = 80 × 0.502 = 40.16
Standard deviation = √npq = √(80 × 0.502 × 0.498) = 4.47
Answer:
Linear Function in standard form
Step-by-step explanation:
Ax + By = C
-120° = -2π/3 radians.
Tangent is defined as Opposite/Adjacent or Sine/Cosine in a unit circle. So, if you have memorized the unit circle,
sin(-2π/3) = √3/2
cos(-2π/3) = -1/2
So, tan(-2π/3) would be:

Simplify, and you get:

And, so, tan(-2π/3) = -√3
Answer
test statistic
P-value 
Step-by-step explanation:
From the question we are told that
The first sample size is 
The first sample mean is 
The first standard is 
The second is 
The second sample mean is 
The second standard deviation is 
The level of significance is 
The null hypothesis is 
The alternative hypothesis is 
Generally the test statistics is mathematically represented as

=> 
=>
Generally degree of freedom is mathematically represented as

=> 
=> 
From the student t distribution table the probability value to the left that corresponds to
at a degree of freedom of
is

So this is our inequality in algebraic terms: 
Firstly, subtract n on both sides of the inequality: 
Next, subtract 5 on both sides of the inequality, and <u>your inequality is
</u>