Answer:
-3
Step-by-step explanation:
Can someone explain how my teacher did this? I don't understand it at all.
The University of Oklahoma has a renowned radar research program within the School of Electrical and Computer Engineering. Say that there are two radar prototypes under development, A1 and A2, and the effectiveness of each is determined by their ability to spatially detect a particular object. A1 has a probability of 0.5 of detecting the object, and A2 has probability 0.3 of detecting the object. a. Find the probability that the object is detected. b. Find the probability that the object is detected by exactly one of the radar prototypes. c. Given that the object was detected by exactly one of the prototypes, find the probability that it was A1 that detected it.
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
Which is the equation of the line that passes through the point (2, -2) and has a slope
of 3?
y= 223 +2
y = 2x + 3
y = 3x - 8
y = 3x - 2
Answer:
The answer is
y = 3x - 8Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) \\ [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (2, -2) and slope is 3
The equation is
[tex]y + 2 = 3(x - 2) \\ y + 2 = 3x - 6 \\ y = 3x - 6 - 2[/tex]
We have the final answer as
y = 3x - 8Hope this helps you
8 × 1 + 5 × ( 1/100) + 9 ×( 1/1000) = 8.059?? did I do this correctly???
Answer:
Yes you did it correctly
Step-by-step explanation:
the answer is
[tex]8.059[/tex]
Answer:
Hello! :) i hope I’m correct!!
Step-by-step explanation:
Yes, you have done it correctly.
The answer should be 8.059 or 8059/1000
So, your absolutely correct!!
Hope this helps!
By: BrainlyAnime ^-^
Henry wants to create a vegetable garden in his backyard against the back wall of his
house. He has 60 feet fence to protect the garden from the deer. What is the maximum
area of the garden he can create (in square feet)?
Use a geometric representation to determine the difference of the complex numbers.
z1 = - 2 - 6i
z2 = 5 + 9i
Answer:
difference is -3
Step-by-step explanation:
use the distributive property to simplify each expression
(6+9v)6
(5n+3)12
21(2x+4)
A chemical supply company guarantees the precision weighing of its products. They advertise that a certain product weighs 8 oz +/- 0.03 oz. What is the tolerance interval?
Answer:
ti like ya cut g
Step-by-step explanation:
An airplane is loaded with cargo and ready to take off. Before it departs, an unknown number of 8 pound boxes, b, will be taken off the plane and a 600 pound crate will be put on. To keep the plane in balance, no more than 400 pounds may be taken off the plane. Write an inequality that best describes this situation.
b. Write the inequality that describes this situation.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Number of 8 pounds before boxes to be removed from cargo = b
Weight in pound of crate to be loaded into cargo = 600 pounds
To achieve a balance , no more Than 400 pounds may be taken off the plane
Hence,
Number of pounds removed must not be more than 400 pounds
(8 pounds * b) ≤ 400
8b ≤ 400
Divide both sides by 8
b ≤ 50
find the distance between the points (2, 7) and (-6, -2).
Answer:
Approximately 12.04 units.
Step-by-step explanation:
The find the distance between any two points, we can use the distance formula, which is:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]
We have the points (2,7) and (-6,-2). Let's let (2,7) be (x₁, y₁) and let's let (-6, -2) be (x₂, y₂). Substitute:
[tex]d=\sqrt{(-6-2)^2+(-2-7)^2[/tex]
Subtract:
[tex]d=\sqrt{(-8)^2+(-9)^2[/tex]
Square:
[tex]d=\sqrt{64+81}[/tex]
Add:
[tex]d=\sqrt{145}[/tex]
Approximate
[tex]d=\sqrt{145}\approx12.04[/tex]
So, the distance between (2,7) and (-6,-2) is approximately 12.04 units.
And we're done!
Which number-line model represents the sum of 1.25+ (0.75)
Answer:
the sum of 1.25+(0.75)=2.00
please help I will give brainliest
Answer:
(rs)(4) = 8
(r/s)(3) = 2
Step-by-step explanation:
it was on my hw.
What is mZPQR?
R
(x + 1)
(3x - 5)
S
o
Answer:f '(x) = 2(3x2 + 5) + 6x(2x - 1)
= 6x2 + 10 + 12x2 - 6x
= 18x2 - 6x + 10
Step-by-step explanation:
You’re baking a batch of 12 cupcakes. Each batch requires 100 grams of butter. Which proportion shows how much butter there is in each cupcake
Answer:
1/12=x/100
Step-by-step explanation:
1/2=x/100
1*100=100
100 dived by 12 =
8
!!!WILL GIVE BRANLIEST ASAP!!!
State the domain and range. Is it a function?
WRITE YOUR ANSWER FROM LEAST TO GREATEST USING ( ). NO SPACES.
X
y
3
1
0
5
4
7
-3
0
Domain=
Ranger
Is it a Function? Y/N
Answer:
Domain: (-3,-3,0,4)
Range: (-5,0,1,7)
Function: No
Step-by-step explanation:
Because there is a repeating -3 in the domain.
Brainliest please!
Using the digits 0, 3, 4, 5 and 6, and any mathematical signs, can you make an expression equal to 8?
Answer: 6 + 4 + 3 - 6 - 0
Step-by-step explanation: Add 6, 4, and 3 which gives you 13. Then subtract 5 which gives you 8, then to use all the numbers, subtract 0. There's probably other ways but this is a very simple way.
What number when added to 13 gives 2?
A conjunction is a statement formed by combining two statements with the word ____. and together with or
Answer:
and
Step-by-step explanation:
A conjunction is formed when two statements join with the connector and.
The symbol used for a conjunction is:
∧
to mean AND.
For example, when you have two statements :
p : It will rain today.
q : I will fetch water.
You can connect the statements to form a compound statement :
It will rain today and i will fetch water. ( p ∧ q ).
Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)
Answer:
the answer is - 0.5
Step-by-step explanation:
Which graph represents a function
What is the new function’s equation (green)?
Answer:
[tex]f(x)=-(x+3)^2[/tex]
Step-by-step explanation:
The parent function is f(x) = x^2.
This can be reasoned by the fact that this is a postive parabola that is on the origin.The green function is moved 3 units to the left. This means that the function changes like this:
[tex]x^{2}[/tex] --> [tex](x+3)^2[/tex]The green function is also reflected over the x-axis.
Functions that are reflected over the x-axis take are multiplied by an exterior negative (literally, a negative on the outside)
Ex; f(x) flipped over x-axis= -f(x)So, we put a negative on the outside.
[tex](x+3)^2[/tex] --> [tex]-(x+3)^2[/tex]
The function isn't moved up or downwards, so we don't have to add or subtract anything on the outside.
The function is also not stretched or shrunk.
So, the equation of the green function is:
[tex]f(x)=-(x+3)^2[/tex]
The fractions 3/4,6/8 ,9/12 , and 12/16 are examples of _____.
Answer:
Equivalent fractions
Step-by-step explanation:
Find the third side in simplest radical form :
Answer:
2√41
Step-by-step explanation:
If the third side is x, we can use the Pythagorean Theorem (a² + b² = c² where a and b are legs and c is the hypotenuse - a and b would be 12 and √20 and c would be x) to write the following equation:
12² + (√20)² = x²
144 + 20 = x²
164 = x²
√164 = √x²
x = ±√164 = ±2√41
x = -2√41 is an extraneous solution because x cannot be negative, therefore, the answer is x = 2√41.
Solve This −15y+7+17y=2y+70
Answer:
0 = 63
No Solution
Step-by-step:
-15y + 7 + 17y = 2y + 70
2y + 7 = 2y + 70
2y - 2y = 70 -7
0 = 63
Answer:
y=-61/2=-30 1/2=-30.5
Step-by-step explanation:
Add −15 and 7 to get −8.
−8+17=2y+70
Add −8 and 17 to get 9.
9=2y+70
Swap sides so that all variable terms are on the left hand side.
2y+70=9
Subtract 70 from both sides.
2y=9−70
Subtract 70 from 9 to get −61.
2y=−61
Divide both sides by 2.
y=-61/2
Fraction
−61/2 =−30.5 can be rewritten as − 61/2=−30.5 by extracting the negative sign.
y=-61/2=-30 1/2=-30.5
What's the Unit Rate? please. :')
Answer:
The unit rate is 8.
Step-by-step explanation:
(5, 40) = 8
(10, 80) = 8
(15, 120) = 8
you can simply divide and find the unit rate.
What is a difference between starch and glycogen?
Answer/Explanation:
Starch and glycogen are both polysacharide molecules, meaning they are made up of chains of monosaccharides - sugars. They are both polymers of glucose monomers.
However, they differ in structure. Glycogen is far more branched than starch.
Starch is the storage carbohydrate most often found in plants, whereas glycogen is the storage carbohydrate most often found in animals and fungi.
Without using a calculator put these side lengths in order from least to greatest
Answer:the correct order is 2√6 cm > 2√3 cm > √2 cm.
Step-by-step explanation:I got it correct on edmentum
Molly is 64 inches tall. Mark is 177 centimeters tall. Who is taller?
Answer:
Mark is taller
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
solve for x,y,z
WILL MARK BRAINLIEST!!!
Answer:
x = 13
y = -10
z = -7
Step-by-step explanation:
x+y+z=−4
2x+3y−2z=10
−x+2y−3z=−12
Add the first and the third equations to eliminate x
x+y+z=−4
−x+2y−3z=−12
--------------------
3y -2z = -16 Equation A
Add the second and twice the third equation to eliminate x
2x+3y−2z=10
−2x+4y−6z=−24
----------------------------
7y -8z = -14 Equation B
Take Equation A and multiply by -4
-4*( 3y -2z) = (-16)*-4
-12y + 8z = 64
Add this to Equation B
-12y + 8z = 64
7y -8z = -14
-----------------------
-5y = 50
Divide by -5
-5y/-5 = 50/-5
y = -10
Now using equation A
3y -2z = -16
3*-10 -2z = -16
-30 -2z = -16
Add 30 to each side
-2z = -16+30
-2z = 14
Divide by -2
-2z/-2 = 14/-2
z = -7
Now find x using the first equation
x+y+z = -4
x -7-10 = -4
x -17 = -4
Add 17 to each side
x-17+17 = -4+17
x = 13
Daniel’s tennis team made $582.85 from running the concession stand at a basketball game. The food and drinks cost the team $64. What expression would model the amount of money each player would receive if the money is divided equally?
How much would each player receive if there are 8 players on the tennis team?
Answer:
$518.85/x
Step-by-step explanation:
$582.85 - $64 = $518.85
$518.85/x = How much each player would get
Answer:
1. (582.85-64)/p
2. 64.85
Step-by-step explanation:
i did the assignment and got it correct.
hope this helps!