Answer:
936m
Step-by-step explanation:
What we have here is a rght triangle, where one leg is the hight between the nest and the bird (400 - 20 =380) and the other is the distance between the bird and the nest linearly from the ground (name it X). The hypotenuse is the distance the bird will fly ( name it H).
Is not clear if we need to find X or H so we will find both.
First, to find H we use the trigonometric formula:
Sin(24) = leg opposed / hypotenuse
Sin(24) is 0.406 aprox
So,
0.406 = 380/h -> h = 380/0.406 = 936 (aprox)
Then we find X, the adjacent leg to 24° using the formula:
Cos(24) = X / hypotenuse
Cos(24) is approximately 0.91
So:
0.91 = X / 936 -> X=0.91*936= 852 (aprox)
So, the distance ir 936 ir 852, depending on what you need. The statement is not very clear (however I guess it is 936 as is the distance the bird Weill fly)
350 + 4x = 750
x = the amount the fee went up annually.
4x = 750 - 350
4x = 400
x = 400/4
x = 100
The rate of change is 100 dollars per year. The initial value of her business is 350 dollars. To check your work (aka how do you know) if you add 100 dollars to her initial value (350) 4 times you get 750.
Answer:
i am thinking it the last one
Step-by-step explanation:
Answer:
0.0051 = 0.51% probability that the thickness is less than 3.0 mm
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean and standard deviation , the z-score of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 4.8 millimeters (mm) and a standard deviation of 0.7 mm.
This means that
(a) Probability that the the thickness is less than 3.0 mm
pvalue of Z when X = 3. So
has a pvalue of 0.0051
0.0051 = 0.51% probability that the thickness is less than 3.0 mm