Answer:
a) = 0.65
b) = 0.5
c) = 0.7
Step-by-step explanation:
a)
First, using either A1 detected the object or A2 detected it or both did, the probability that the object is detected can be determined by any of it
so
P( probability that object is detected) = (p1 * q2) + (p2 * q1) + (p1 * p2)
so we substitute
P( probability that object is detected = (0.5 * 0.7) + (0.3 * 0.5) + (0.5 * 0.3)
= 0.65
b)
probability that object is detected by exactly 1 of the radar prototypes.
P( object is detected by exactly one of the radar prototypes ) = (p1 * q2) + (p2*q1)
= (0.5*0.7) + (0.3*0.5)
= 0.5
c)
probability that A1 that detected it.
using the Bayes theorem,
P(detected by A1 / detected by exactly one of the prototypes) = (p1 * q2) / (p1 * q2 + p2*q1) = (0.5 * 0.7) / (0.5 * 0.7) + (0.3 * 0.5)
= 0.35 / 0.5
= 0.7
How would you write 4/1000 in decimal form
Answer:
The correct answer is 0.004
Step-by-step explanation:
I got it correct
ASAP, help me, please! 20 points!
Which is an example of unstructured observation?
(A): A researcher watches the cars entering a mall parking lot and records the number of red cars.
(B): A principal observes a teacher to see if the teacher completes all items on an evaluation checklist.
(C): An undercover police officer joins a gang in order to observe its members and activities.
(D): A day-care worker observes a particular child who has been accused of biting other children.
Answer:
it is C
Step-by-step explanation:
Answer:
It is C. An undercover police officer joins a gang in order to observe its members and activities
Step-by-step explanation:
I just recently took the quiz, I hope this helps you. Have an awesome day/night/afternoon!
find the fifth term in a sequence whose general term is an=3n+7
Answer:
22
Step-by-step explanation:
If n = 5 then a(5) = 3(5) + 7
15 + 7= 22
a(5) = 22
From what I can tell from the problem given your answer is 22
A science experiment begins with a metal at −100° Celsius. The following function describes the temperature change per minute: f(x) = 89x − 100°. How will the graph of this function change if the metal is at 25° at the start of the experiment? (1 point)
Group of answer choices
The line will shift vertically up by 125°.
The line will shift vertically down by 125°.
The line will shift vertically up by 25°.
The line will shift vertically down by 25°.
Answer:
A: The line will shift vertically up by 125°.
Step-by-step explanation:
So, the experiment starts with the metal at -100° then the start temperature changes to (positive) 25°. All you have to do is calculate how far away -100 is from 25. To calculate this, add 100 (for -100°) and 25 (for 25°) which equals 125. On the chart the line will shift vertically up
:)
Answer:
the line will shift vertically up by 25 degrees
Step-by-step explanation:
I just did the test :)
Kayleen earns 35.50 each week
Answer:
increasing , $15.50
Step-by-step explanation:
Since Kayleen spends only $20 out of the $35.50 she earns a week, she is saving $15.50 every week and therefore, her bank balance will be incremented by $15.50
Which of the following would represent the first step in simplifying the problem 7 + 5/6 - 2) = 2. 1216 - 2) - 2 07+30-2-2 07-516-1 07+ 5/4) - 2
Answer:its 7+5(4) divided by 2
Step-by-step explanation:
because of order of operations
you need to use PEMDAS
How do i write this quotient as a mixed number?
Answer:
32 2/98
Step-by-step explanation:
Answer:
32 2/98
Step-by-step explanation:
hope this helps
Carley is using a map to estimate the length in miles of her upcoming road trip. On her map 1/8- represents 10 miles. What is the length on a map represents the distance of 248 miles Carley plans to travel to her first destination.
Answer:
3.1 inchesStep-by-step explanation:
The scale is
1/8 in = 10 miles1/8*8 in = 10*8 miles1 in = 80 milesThen
x in = 248 milesCross multiplication
x - 2481 - 80x = 248/80 = 3.1 informula for volume of rectangular prism? math terms.
Answer: V = whl
Step-by-step explanation:
V - Volume
w - width
h - height
l - length
multiply all of these and you’ll get the answer! good luck and hope this helps!
Answer:
V= W x L x H
Step-by-step explanation:
W= width
L= length
H= height
A rowing team rowing with the current traveled 36 km in 3 h. Rowing against the current, the team rowed 12 km in the same amount of time. Find the rate of the rowing team in calm water and the rate of the current.
Answer:
team: 8 kphcurrent: 4 kphStep-by-step explanation:
The downstream speed is ...
speed = distance / time
speed = 36 km/(3 h) = 12 km/h
The upstream speed is ...
12 km/(3 h) = 4 km/h
__
If b and c represent the speeds of the boat and current, respectively, then we have ...
b + c = 12
b - c = 4
Adding these gives ...
2b = 16
b = 8
c = b -4 = 4
The rate of the rowing team in calm water is 8 km/h; the rate of the current is 4 km/h.
Answer:
The team is 8
The current is 4
What idea did Alberti introduce in his famous work of art theory, On Painting?
A. Art should imitate nature.
B. Beauty is in the eye of the beholder.
C. Science and art are more similar than different.
D. Philosophers make the best artists.
Answer:
A
Step-by-step explanation:
what is 7/24 times 8/35?
Answer:
1/15
Step-by-step explanation:
[tex]7/24 * 8/35[/tex]
[tex]1/3*1/5=1/15[/tex]
Step-by-step explanation:
[tex] \frac{7}{24} \times \frac{8}{35} \\ \\ = \frac{1}{3} \times \frac{1}{5} \\ \\ = \frac{1}{15} [/tex]
A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.
Answer:
The answer is below
Step-by-step explanation:
A cell tower is located 3 miles east and 4 miles north of the center of a small town. The cell tower has a coverage radius of 3 miles.
a) Start by drawing a diagram of this situation. Your diagram might include a coordinate plane, the cell tower, and a circle representing the cell tower's coverage boundary.
a) A house is located 5 miles north of the center of the town and is to the east of the cell tower. If the house lies on the boundary of the cell tower's coverage, how far east of the center of the town is the house?
Answer:
Let the center of the town represent the origin (0,0). Also 1 unit = 1 mile. Since the cell tower is located 3 miles east and 4 miles north of the center of a small town, it is represented by A(3, 4)
The cell tower has a coverage of radius 3 miles. This can be represented by a circle with equation:
(x - a)² + (y - b)² = r². where (a,b) is the center of the circle and r is the radius. Hence:
(x - 3)² + (y - 4)² = 3²
(x - 3)² + (y - 4)² = 9
The diagram is drawn using geogebra.
b) The house is 5 miles north. It can be represented by y = 5 line.
To find the distance east of the house we have to substitute y = 5 and solve for x, hence:
(x - 3)² + (y - 4)² = 9
(x - 3)² + (5 - 4)² = 9
(x - 3)² + 1 = 9
(x - 3)² = 8
(x - 3) = √8
x - 3 = ±2.83
x = 3 ± 2.83
x = 5.83 or 1.83
Since it is to the east to the cell tower, hence x = 5.83.
Therefore the house is located 5.83 miles to the east of the cell tower
Find the measures of
the missing angles.
Answer/Step-by-step explanation:
Ok, edited answer:
Angle A = 100 degrees
Angle B = 80 degrees
Angle C = 80 degrees
Angle D = 100 degrees
Angle E = 100 degrees
Angle F = 80 degrees
Angle G = 80 degrees
...and the give angle, of course, = 100 degrees!
Hope this helps, will gladly take brainliest!!!
Write the number as the product of a real number and i square root 0f -25
Answer:
square root of -25 would be 5 multiplied by the imaginary unit i.
Classify the following triangle. Check all that apply.
Answer:
It had two acute angles, two sides are the same so also an isosceles, and it also has a right angle, so right.
Step-by-step explanation:
Answer:
D and F are the right options.
PQ has a slope of 13. What is the slope of a line perpendicular to PQ?
−1/3
3
1/3
−3
Answer:
-3
Step-by-step explanation:
PQ has a slope of 1/3
Perpendicular lines have negative reciprocal slopes
- ( 1 ÷ 1/3)
- ( 3/1)
-3
The slope of a line that is perpendicular is -3
which is the correct one???
Answer:
52
Step-by-step explanation:
5x-22+4x+4 = 90
9x-18=90
9x=108
x=12
4*12+4
52
Answer:
x=12 Hope this helps!!!
Step-by-step explanation:
Remember a straight line equals 180 and when you have the box the angle is 90 degrees. Try solving the equation 5x-22+4x+4+90=180.
5x-22+4x+4+90=180 (combine like terms)
9x+72=180 (subtract 72 from both sides)
9x=108 (divide 9 on both sides)
x=12
This is adding and subtracting binomials please help (13 points)
Answer:
-5x - 1
Step-by-step explanation:
Step 1: Write expression
(-6x + 2) + (x - 3)
Step 2: Combine like terms
-5x - 1
if an angle is obtuse, what type of angle is the supplement
What is the domain for the function?
someone please help
Answer:
Domain : ( -3 , 4.5 )
Step-by-step explanation:
Evaluate the piece wise function
Answer:
Since x = -2
x satisfies the condition of x < 1
Hence, the output will be x + 3
-2 + 3
=1
Option C is the correct option
A cricketer's average score for 6 innings is 12 runs. what must he score in his next innings to make his average 13?
find the correct answer.
-0.65(2) = -0.6(2) + 0.05(2)
= -12 + 0.05(2)
= -12 + 0.1
= -11.9
Answer:
-0.2?
Step-by-step explanation:
Just solve the equation.
The sum of three consecutive integers is 183. What are the integers?
Answer:
60, 61, 62
Step-by-step explanation:
Let's call our first integer n.
The other two, since they are consecutive, will be n+1, and n+2.
First number: n
Second number: n + 1
Third number: n + 2
The sum of these 3 will be:
[tex]n + (n+1) + (n+2)\\3n + 1 + 2\\3n + 3[/tex]
We know that the sum, 3n+3, is equal to 183. Let's set these two equal to each other and solve the equation.
[tex]3n+3 = 183[/tex]
Subtract 3 from both sides.
[tex]3n = 180[/tex]
Divide both sides by 3.
[tex]n = 60[/tex]
Now that we know n, we can find the values of all 3 integers.
First number, n:
n = 60
Second number, n+1:
n + 1 = 60 + 1 = 61
Third number, n + 2:
n + 2 = 60 + 2 = 62
Answer: 60, 61, 62
1. There are 60 players on a football team.
2/3
of the players are offensive players.
1/12
of the players are special teams players.
The remaining players are defensive players.
Each team member is either offensive, defensive, or special teams player. How many players are defensive player?
Answer:
3/12 players are defensive
Step-by-step explanation:
have to change demonitar to 12 so 3x4=12 so 2x4= 8
then 8+1=9 so 9/12
then 9-12=3 so 3/12 is the amount of defensive players
924.25 in expanded form
Answer:
900 + 20 + 4 + 0.2 + 0.05 = 924.25
Step-by-step explanation:
Help with this question
Factor: m- 81
Answer:(x+9)(x−9)
Step-by-step explanation:
Which equation is y=-6x^2+3x+2
Answer: y = 39x +2
Step-by-step explanation: -6x^2 is equal to -6x-6 which is 36x + 3x is 39x, add the 2 and you get 39x +2.
Assume LaTeX: \angle∠A and LaTeX: \angle∠B are complementary. Find mLaTeX: \angle∠A if it is 14 more than LaTeX: \angle∠B.
Answer:
[tex]A = 52[/tex]
Step-by-step explanation:
Given
[tex]A = 14 + B[/tex]
Required
Find A
Since both angles are complementary; then:
[tex]A + B = 90[/tex]
Solve for B in [tex]A = 14 + B[/tex]
[tex]B = A - 14[/tex]
Substitute [tex]B = A - 14[/tex] in [tex]A + B = 90[/tex]
[tex]A + A - 14 = 90[/tex]
[tex]2A - 14 = 90[/tex]
Solve for 2A
[tex]2A = 90 + 14[/tex]
[tex]2A = 104[/tex]
Solve for A
[tex]A = 104/2[/tex]
[tex]A = 52[/tex]
