Answer:
P(6) = 0.6217
Step-by-step explanation:
To find P(6), which is the probability of getting a 6 or less, we will need to first calculate two things: the mean of the sample (also known as the "expected value") and the standard deviation of the sample.
Mean = np
Here, "n" is the sample size and "p" is the probability of the outcome of interest, which could be getting a heads when a tossing a coin, for instanc
So, Mean = n × p = (18) ×(0.30) = 5.4
Next we we will find the standard deviation:
Standard Deviation = 
n = 18 and p = 0.3 "q" is simply the probability of the other possible outcome (maybe getting a tails when flipping a coin), so q = 1 - p
Standard Deviation =
= 1.944
Now calculate the Z score for 6 successes.
Z = ( of successes we're interested in - Mean) ÷ (Standard Deviation)
=(6-5.4) ÷ (1.944) = 0.309
we have our Z-score, we look on the normal distribution and find the area of the curve to the left of a Z value of 0.309. This is basically adding up all of the possibilities for getting less than or equal to 6 successes. So, we get 0.6217.
Answer:
=2.83 the second option
Step-by-step explanation:
Using the trigonometric ratios we can find the sides of the triangle with the acute angles.
In the triangle provided we will use COSINE
Cos ∅=adjacent/hypotenuse
Let us substitute with the values in the question into the formula.
Tan 45 =2/x
x=2/Cos 45
=2.83 units
Let stadium 1 be the one on the left and stadium 2 the one on the right.
Angle above stadium 1 is 72.9° and the angle above stadium 2 is 34.1° using the angle property of alternate angles(because both the ground and the dotted line are parallel).
For the next part we need to use the trigonometric function of tangent.
As tan x = opposite / adjacent,
Tan 72.9°=1500/ adjacent ( the ground from O to stadium 1)
Therefore the adjacent is 1500/tan 72.9°= 461.46 m( to 5 s.f.)
Same for the next angle,
Tan 34.1°=1500/ adjacent ( the ground from O to stadium 2)
Therefore, the adjacent is 1500/tan 34.1° = 2215.49 m (to 5 s.f.)
Thus, the distance between both stadiums is 2215.49-461.46= 1754.03 m
Correcting the answer to whole number gives you 1754 m which is the option C.
Answer:
Only A, E, and F are correct.
Step-by-step explanation:
The difference between two points is 
, thus the difference between the height of the Pelican and the height of the Heron is 
, and between the Pelican and the trout it is 
.
The distance between two points is just the absolute value of the difference between them. Between the Pelican and the Heron it is
, and the distance between the Pelican and the Trout is 
.
Therefore,
A is correct;
B is incorrect (difference is not positive);
C is incorrect (distance cannot be negative);
D is incorrect (difference is not positive);
E is correct;
F is correct;
Answer:
least to greatest are:
-2.5, -2.47, -2/5, 5, 21/4
