Recall that if there is an intruder, system A sounds an alarm with probability 0.9 and system B sounds an alarm with probability 0.95. If there is no intruder, system A sounds an alarm with probability 0.2 an system B sounds an alarm with probability 0.1. Now assume that the probability of an intruder is 0.4. Also assume that under a given condition (intruder or not), systems A and B operate independently. If both systems sound an alarm, what is the probability that an intruder is detected
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50 POIINTS!!!
A coin is flipped 20 times. The results are 12 heads and 8 tails. Determine the theoretical probability of getting heads.
60%
40%
20%
50%
SOMEONE PLEASE PUT STEPS TO SOLUTION.
Answer:
What we have here is experimental probability: 12 heads out of 20 tosses. The fraction 12/20 reduces to 6/10, or 0.60, which corresponds to 60%.
Find the value of x (only answer if you're sure)
Answer:
x = 5.4
Step-by-step explanation:
Ratios:
[tex]\frac{x}{3} =\frac{7.2}{4} \\\\4x=21.6\\x=5.4[/tex]
Enter the phrase as an algebraic expression.
the product of 38 and g
Answer:
38g
Step-by-step explanation:
Product means multiplication so:
The product of 38 and g is 38g
The brick fire ring measures sixteen feet across the center. What is the circumference of the fire ring to
the nearest tenth?
Plan:
Calculations:
Answer:
50.3 ft
Step-by-step explanation:
circumference = 2nr
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
radius = 16/2 = 8
2 x 22/7 x 8 = 50.3ft
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
What is HK?............help me answer this
Answer
C
Step-by-step explanation:
What is the value of x?
The horizontal value in a pair of coordinates: how far along the point is. The X Coordinate is always written first in an ordered pair of coordinates (x,y), such as (12,5). In this example, the value "12" is the X Coordinate. Also called "Abscissa" See: Coordinates.
If this doesn’t answer your question, then do you have any further information?
HELP PLEASE HELP ME YOU'LL GET 50+ POINTS BRAINLIEST AND BRAINLIEST PLEADE HELP EM ANSWER CORRECTLY
Answer:
b
Step-by-step explanation:
its a curved line downwards linear is a straight line and it is decreasing
Answer this question and I'll give you Brainliest! Worth 7 points!
Solve the equation using ANY method! You will get 2 answers!
-5x² = -25
AND please explain! Thank you!!!
Answer:
see the image below.
Step-by-step explanation:
I hoped this helped:)
Answer:
2.2 or -2.2
Step-by-step explanation:
-5x^2=-25 first, divide by -5
x^2=5 next, take the square root of 5
The square root of 5 is approximately 2.2, and so you get either 2.2 or -2.2, since a negative times a negative is a positive, so it could be -2.2 as well.
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
you pick a card at random 4,5,6,7 What is p(5)
Answer:
1/4
Step-by-step explanation:
probability of picking 5 is 1/4
the number of 5 in the set is 1 and the total is 4
hence 1/4
Answer:
1/4 or 25% chance
Step-by-step explanation:
There are 4 cards in total
There is only 1 5 card.
To find the probability of getting 5:
1/4 = 25%
PLEASE HELP! CHOOSE ONE OF THE ANSWER CHOICES AND SHOW YOUR WORK. Don’t put a link as the answer.
Answer:B 4
Step-by-step explanation:
its asking which given expression is equivalent to 48 IF you do the correct math you should end up with 4 hope i helped
How do I Solve 6=18x
Answer:
1/3
Step-by-step explanation:
6=18x
for x
x=6/18
x=1/3
Digital Plus manufactures cameras. Last year, the company was able to produce 25,000 cameras each month.After introducing a new process for manufacturing this year, the company was able to produce 32,000 cameras each month. By what percent did production increase?
Answer:
28%Step-by-step explanation:
Increase of production:
32000 - 25000 = 7000Percent increase:
7000/25000 * 100% = 28%Total increase
32000-250007000Percentage
7000/25000(100)0.28(100)28%Carmen surveys a random sample of 35 students from her school. Of these students, 2 are chess club members. If there are 550 students at her school, how many of them are likely to be chess club members?
Answer:
31
Step-by-step explanation:
2 out of 35 are chess club members.
The fraction of chess club members in the survey is 2/35.
Now we find 2/35 of 550.
2/35 * 550 = 1100/35 = 31.43
Answer: 31
If there are 550 students at her school, then there are 31 chess club members in the entire school.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
If Carmen surveyed a random sample of 35 students and found that 2 are chess club members.
We can set up a proportion to solve for this:
2/35 = x/550
where x is the number of chess club members in the entire school.
To solve for x, we can cross-multiply and simplify:
2 × 550 = 35 × x
1100 = 35x
Divide both sides by 35.
x = 1100/35
x ≈ 31.43
Therefore, we can estimate that there are approximately 31 chess club members in the entire school.
To learn more on probability click:
https://brainly.com/question/11234923
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Mark and Doug work at the mall. Last week,
Mark worked five less than three times the
number of hours that Doug worked. If their total
number of combined hours was 13 more hours
than Mark worked, how many hours did they
work in total?
If Mark and Doug work at the mall and their total number of combined hours was 13 more hours than Mark worked, The number of hours they work in total is 47 hours.
How to find the hours worked?Let x represent the time Doug worked
let 3x - 5 represent the number of hours Mark worked
Hence,
x + 3x - 5 = 3x -5 +13
4x-5=3x-5+13
4x-5=3x+8
Add 5 to both side
4x-5+5 =3x+8+5
simplify
4x =3x +13
subtract 3x from both side
4x -3x = 3x + 13 =3x
1x = 13
x =13/1
x =13 (Doug)
Hence,
3x -5 where x = 13
3 (13) -5
= 39 -5
= 34 hours (Mark)
Total hours
(Doug + Mark)
= 13 hours + 34 hours
= 47 hours
Therefore the total hours is 47 hours.
Learn more about hours worked here:https://brainly.com/question/568252
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Drag the tiles to the correct boxes to complete the pairs.
A team of 10 players is to be selected from a class of 6 girls and 7 boys. Match each scenario to its probability
Answer:
Step-by-step explanation:
Answer:
The answers were correct
Step-by-step explanation:
Which graph represents an exponential function?
Answer:
The second one
Step-by-step explanation:
If you know about hyper and Para bolas then the second one also know as a frowny fave parabola is a function
f(6) if f(x)=4x what's the answer?
a.24
b.10
c.16
or is it d.2
Answer:
Hi! The answer to your question is A. 24
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!!
- Brooklynn Deka
what is (-3, 4) translated by (x,y) → (x – 6, y – 5).
Answer:
(-9,-1)
Step-by-step explanation:
You plug in the x and y values and solve the algebraic expression.
what is the equation of the following graph in vertex form
Answer:
y=(x-4)²-4
Step-by-step explanation:
Our x-intercepts are (2,0) and (6,0) so we can state them as expressions and expand:
(x-2)(x-6)=0 [Remember that (2,0) is the solution to x-2=0 just as (6,0) is the solution to x-6=0]
x²-8x+12=0 (Standard Form)
x²-8x+12+4=0+4 (Completing the square)
x²-8x+16=4
(x-4)²=4
(x-4)²-4=0
Therefore, our equation for the graph in vertex form is y=(x-4)²-4
Two stores sell painting kits. Store 1 charges $12.50 for the painting kit, and customers can buy additional paintbrushes for $0.75 each. The table shows the total cost of purchasing a painting kit plus additional paintbrushes from Store 2, where each paintbrush costs the same amount.
Answer:
14$
Step-by-step explanation:
Please mark brainliest
How do I evaluate:
(-1000)1/3
9514 1404 393
Answer:
-10
Step-by-step explanation:
The first step is to write what you mean. We think you mean (-1000)^(1/3).
If you've been paying attention to place-value, and/or cubes of small integers, you already know that 10^3 = 1000. Since we're concerned with an odd power, we also know ...
-1000 = (-10)^3
Then your expression is ...
(-1000)^(1/3) = ((-10)^3)^(1/3) = (-10)^(3/3) = (-10)^1 = -10
__
Some calculators can evaluate this for you (see attached).
Some calculators and spreadsheets use logarithms to compute roots or fractional powers, so will give you an error when you try to compute this. You should know that an odd-index root of a negative number (here, 3rd root of -1000) has the same sign as the number: negative. Then you can use your calculator to compute the positive root and add the sign yourself:
(-1000)^(1/3) = -(1000^(1/3)) = -(10) = -10
_____
Of course, a 1/3 power is the same as a cube root. Your calculator may have a cube root button that works just fine with negative numbers.
2) Eileen wants to borrow $40,000 to buy a new car. I She is willing to make monthly payments for 5 years. The Metro Bank offers her a loan of $40,000 for five years; the rate of interest is 6% compounded monthly. If Eileen chooses to borrow the money,
a) how much total interest will she pay?
b) how much simple interest will she pay?
c) how much compound interest will she pay?
Answer:
BLM
Step-by-step explanation:
If X = 9 units, Y = 7 units, Z = 18 units, and h = 8 units, what is the surface area of the triangular prism shown above?
Answer: 506 square units (answer choice B)
Step-by-step explanation:
The formula for the surface area of a triangular prism is:
SA = bh + 2ls + lb,
where b is the base, h is the height, l is the length, and s is the side of the triangle.
In this case, the base is 7 (Y), the height is 8 (h), the length is 18 (Z), and the side of the triangle is 9 (X).
So, by subsituition, we have:
SA = (7)(8) + 2(18)(9) + (18)(7)
SA = 56 + 324 + 126
SA = 506
The surface area is 506 square units.
Hope this helps! :)
what does 7 x 3/4 equal?
Answer:
21/4
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
21/4 that's it. ..........
Choose the equation that best describes the image.
Answer:
D
Step-by-step explanation:
your welcome!!!!!!! :D :)
Pleeeeaaaaase help me
Step-by-step explanation:
measure all the sides then multiply you will get the answer
Find the standard deviation. Round to the nearest tenth.
251, 180, 281, 234, 295, 285, 194, 272, 291
O A. 42.6
O B. 31.7
O C. 45.6
O D. 40.2
Use the washer method to find the volume?
It's not clear whether you're talking about the bounded region to the left or right of the y-axis, but due to symmetry it doesn't really matter.
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
The two curves y = 8 and y = 8x ² intersect for
8 = 8x ² → x ² = 1 → x = -1, x = 1
but we only care about one of these; take the positive solution, so the region of interest lies to the right of the y-axis.
Each washer has an outer radius (distance from the "top" curve to the axis of revolution) of 8 and an inner radius (distance from the "bottom" curve) of 8x ². Take the heights to be some small length ∆x . Then each has a volume of π (outer radius)² - π (inner radius)², or
π (64 - 64x ⁴) ∆x
Now take n such washers, take their sum, and let n → ∞ and ∆x → 0. This amounts to computing the integral,
∫₀¹ π (64 - 64x ⁴) dx = π (64x - 64/5 x ⁵) |₀¹
… = π (64 - 64/5)
… = 256π/5
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