Answer:
6,0
Step-by-step explanation:
the dilation moves points from A to B
in this case we're moving point T
point T has coordinates 2,0 to start with (A)
Now let's move it to B
To do so, we need to apply the calculation
(x,y) => (3x,3y)
Substitute in point T:
(2,0) => (3x,3y)
(2,0) => (3(2),3(0))
(2,0) => (6,0)
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:
24.1 x 10^4 = 241000 .056 x 10^7 = 560000 507 x 10^-5 = 0.00507
Step-by-step explanation:
for scientific notation, all you need to do is start at the decimal point (or end of whole number) and move over the amount of spaces (the exponent) to the right. if it is a negative exponent, instead of moving to the right, you should move to the left.
for example : 500 x 10^3
when you start from the last zero and move to the right, you need to fill the space with three zeroes.
so 500 x 10^3 = 500,000.
Answer:
The total number of boys = 105
Step-by-step explanation:
The ratio of boys to girls = 3: 4
⇒ For every 3 boys, there are 4 girls.
Now, total number of students = 245
Let the common ratio of boys to girls is k.
So, 3k + 4k = 245
or , 7k = 245
⇒ k = 245/7 = 35
⇒ k = 35
Hence, the number of boys = 3k = 3 x 35 = 105
and number of girls = 4k = 4 x 35 = 140
Answer:
Aidan got <u>56%</u> of votes.
Step-by-step explanation:
Given:
Aidan is running for student body president. In today's election, he received 462 votes out of a total of 825 votes cast.
Now, to find the percent of votes did Aidan get.
<em>Total votes cast = 825 votes.</em>
<em>Votes he received = 462 votes.</em>
Now, to get the percent of votes Aidan get:
Therefore, Aidan got 56% of votes.
