Answer:
50,000
Step-by-step explanation:
Answer:
The height of the status to nearest foot is 40feet
Step-by-step explanation:
The set up will give us a tight angled triangle with the angle of elevation facing the height of the status and the base of the status being the adjacent side.
Using the trigonometry identity (SOH CAH TOA) to tackle the problem:
Given angle of elevation θ =76°
Base of the status = 10feet = Adjacent
Height of the status = x = opposite
According to TOA defined as:
Tanθ = Opposite/Adjacent
Tan76° = x/10
x = 10tan76°
x = 40feet
Answer and explanation:
To prove : is irrational ?
Proof :
Let is rational number.
So, It can be expressed in p/q form where, p and q are integers and q is non-zero.
Using property of logarithm,
or
Which means 11 must be divisible by 2 for some p and q,
But 11 and 2 are co-prime.
So, Our assumption is not true.
is irrational number.
Hence proved.
Answer:
The mean of the distribution = 76.05
The standard deviation of this distribution = 5.159
Step-by-step explanation:
Given:
The true proportion of voters in the county who support a new fire district is =0.65
sample size n=117.
Solution:
<u>The mean of the distribution:</u>
The mean of the distribution is given by n * p
where
n= sample size
p= probability of success on an individual trial.
Substituting the values , we get
Mean=117 *0.65
Mean=76.05
<u>Standard deviation of this distribution:</u>