Answer:
9.434 units
Step-by-step explanation:
Given data
points (5,4) and (-3,-1)
x1= 5
y1= 4
x2= -3
y2= -1
The expression for the distance between two points is
d=√((x_2-x_1)²+(y_2-y_1)²)
substitute
d=√((-3-5)²+(-1-4)²)
d=√((-8)²+(-5)²)
d=√64+25
d=√89
d=9.4339
d= 9.434 units
Hence the distance between the points is 9.434 units
Answer:

which agrees with the last option listed.
Step-by-step explanation:
We use the vertex form of a parabola:

which with the information we have becomes:

Therefore the equation that corresponds to such vertex (-1, -1) is the last one listed among your given answer options.

Answer:
A gestation length of 279 days represents the 18th percentile.
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 zscore 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 pvalue, we get the probability that the value of the measure is greater than X.
In a certain breed of cattle, the length of gestation has a mean of 284 days and a standard deviation is 5.5 days.
This means that 
What length of gestation, rounded to the nearest whole number, represents the 18th percentile?
This is X when Z has a pvalue of 0.18. So X when Z = -0.915.




A gestation length of 279 days represents the 18th percentile.
Answer:
35 thx
Step-by-step explanation:
Answer:
11.3°
Step-by-step explanation:
Refer the attached figure .
Height of building i.e. AB = 160 feet.
A helicopter takes off from the ground 800 feet from the base of a building i.e. BC = 800 ft.
We are required to find what angle did the helicopter take off from i.e. ∠ACB
We will use trigonometric ratio .







Thus the angle at which the helicopter take off from is 11.3°