There is no exact length of the curve x = √(y) - 4y from 1 to 4.
The answer should be
D. The hypotenuse is v2 times as long as either leg.
Answer:
0.703
Step-by-step explanation:
By inspection this is a binomial probability distribution problem.
We are given;
Probability that the deer in a region carries a certain type of tick; p = 40% = 0.4
Sample size; n = 300
Now we want to find the probability that fewer than 124 deer have this tick.
Thus is at P(x ≤ 124)
Formula for binomial distribution problem is;
P(X = x) = C(n, x) × p^(x) × (1 - p)^(n - x)
But now in this question,
P(x ≤ 124) = P(0) + P(1) + P(2) +.... P(124)
Getting all the Probabilities from P(0) to P(124) is too long we will make use of an online binomial probability distribution calculator with the result attached as an image.
In the calculator we input n = 300; p = 0.4; and P(X ≤ x)
We have a value of 0.703
<u>Answer: </u>
sec squared 55 – tan squared 55 = 1
<u>Explanation:</u>
Given, sec square 55 – tan squared 55
We know that,
And,
where Ө is the angle
Substituting the values
Solving,
According to Pythagoras theorem,
Putting this in the equation;
squared 55 - tan squared 55 =
Therefore, sec squared 55 – tan squared 55 = 1
Answer:
-4.317
Step-by-step explanation:
The z test statistic for testing of 1-proportion can be computed as
We know that
phat=x/n.
We know that x=40 and n=120.
Thus,
phat=40/120=0.3333
p=hypothesized proportion=0.53
q=1-p=1-0.53=0.47
So, required z-statistic is
z=-4.317.
Thus, the required test statistic value for given hypothesis is z=-4.317.