Answer:
Bee
Step-by-step explanation:
Ya like jazz?
Answer:
60.79 square yards.
Step-by-step explanation:
d = 2r; d = 8.8.
8.8 = 2r
r = 8.8 / 2
r = 4.4 yards.
Since we now have the radius, we can find the area of the circle, which can be found using πr^2, or 3.14 * r^2.
4.4^2 * 3.14 = 19.36 * 3.14 = 60.7904.
Since the question tells us to round to the nearest hundredth, our final answer will be 60.79 square yards.
Hope this helps!
Both pairs of vertical angles<span> (four </span>angles<span> altogether) always sum to a full </span>angle<span>(360°). In the figure above, </span>an angle<span> from each pair of </span>vertical angles<span> are adjacent</span>angles<span> and are </span>supplementary<span> (add to 180°). For example, in the figure above, m∠JQL + m∠LQK = 180°.</span>
Answer:
A) 0.005
B) 0.001
C)0.0495
Step-by-step explanation:
Let A be the event that an aircraft is present and let B be the event the radar registers its presence.. Thus;
P(A) = Probability that an aircraft is present
P(A') = Probability that an aircraft is not present
P(B) = Probability that the radar generates an alarm
P(B') = Probability that the radar doesn't generate an alarm
Thus from what we are given, we have;
P(A) = 0.05
P(A') = 0.95
P(B) = 0.99
P(B') = 0.01
P(B|A') = 0.1
A) Probability of a false alarm will be;
P(A' ∩ B) = P(A) × P(B|A')
P(A' ∩ B) = 0.05 × 0.1 = 0.005
B) probability of missed detection is;
0.1 × (1 - 0.99) = 0.001
C) probability that an aircraft is present given that the radar registers a presence will be;
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.05 × 0.99
P(A ∩ B) = 0.0495
Answer:
The approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.
Step-by-step explanation:
We are given that the blood platelet counts of a group of women have a bell-shaped distribution with a mean of 247.3 and a standard deviation of 60.7.
Let X = <em>t</em><u><em>he blood platelet counts of a group of women</em></u>
The z-score probability distribution for the normal distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 247.3
= standard deviation = 60.7
Now, according to the empirical rule;
- 68% of the data values lie within one standard deviation of the mean.
- 95% of the data values lie within two standard deviations of the mean.
- 99.7% of the data values lie within three standard deviations of the mean.
Since it is stated that we have to calculate the approximate percentage of women with platelet counts within 3 standard deviations of the mean, or between 65.2 and 429.4, i.e;
z-score for 65.2 =
= 
= -3
z-score for 429.4 =
= 
= 3
So, it means that the approximate percentage of women with platelet counts within 3 standard deviations of the mean is 99.7%.
