Your neighbor Philip buys a new alarm system that has two alarms (main and backup) with a 0.01 probability of a system failure. After reading the manual, he discovers that the second alarm has a 0.05 probability of failing. What is the probability of the first alarm failing?

Answers

Answer 1

Answer:

0.2

Step-by-step explanation:

Let P(A) = probability of first alarm failing and P(B) = probability of second alarm failing = 0.05. Since the events are independent, we have that the probability of both alarms failing or of system failure is P(A ∪ B) = P(A) × P(B).

Since the probability of both alarms failing or of system failure, P(A ∪ B) = 0.01, then the probability of the first alarm failing P(A) = P(A ∪ B)/P(B) = 0.01/0.05 = 0.2.

So, the probability of the first alarm failing P(A) = 0.2

Answer 2

Answer:

0.2 or 20%... see image

Step-by-step explanation:

Your Neighbor Philip Buys A New Alarm System That Has Two Alarms (main And Backup) With A 0.01 Probability

Related Questions

A theater is tracking the number of adults and children in the audience at
various shows. The table shows how the number of adults and children
are related
Select the equation that matches the relationship.

X+y = 1000

X-y1000

y-x= 1000

Y= 1000xc

Adults

Children

500
500
450
550
400
600
350
650 I Need help i dont understand!!!!!!!!

Answers

Answer:

The correct option is;

x + y = 1000

Step-by-step explanation:

The data from the table can be presented as follows

Adults (x)            [tex]{}[/tex]                              Children (y)

500                         [tex]{}[/tex]                              500

450                         [tex]{}[/tex]                              550

400                          [tex]{}[/tex]                             600

350                         [tex]{}[/tex]                              650

Therefore, we have the rate of change of the children, y to the adults, x, which is also the slope of the graph of the data given as follows;

The slope, m = dy/dx = (650 - 500)/(350 - 500) = 150/(-150) = -1

m = -1

The function of the graph in point and slope form, using the first point, becomes;

y - 500 = -1 × (x - 500) = -x + 500

∴ y - 500 = -x + 500

y + x = 500 + 500 = 1,000

Which gives

y + x = 1,000

y + x = x + y = 1,000

Identify each pair of congruent vertical angles.
Please help :) I’ll give out brainliest to the first person who answers!

Answers

Answer:

1 and 6

2 and 5

4 and 7

3 and 8

10 and 12

9 and 11

Step-by-step explanation:

a line is defined by the equation y=2/3x-6. The line passs through a point whose y-coordinate is 0. What is the x-coordinate of this point?

Answers

Answer:

The answer would be 0 because it passes through

Step-by-step explanation:

Find the ratio (red to blue) of the perimeters of the similar triangles. Write your answer in simplest form.

Answers

Answer:

[tex] \frac{12}{7} [/tex]

Step-by-step explanation:

Side length of red ∆ = 12

Side length of blue ∆ = 7

Given that the red ∆ is similar to the blue ∆, therefore the ratio of their corresponding sides = the ratio of their perimeter.

The ratio of the perimeter of red ∆ to perimeter of blue ∆ = side length of red ∆ / side length of blue ∆

[tex] = \frac{12}{7} [/tex]

The ratio (red to blue) of the perimeters of the similar triangles is 12:7

Assuming that the similar triangles are equilateral triangles, then all their sides will be equal.

Perimeter of a triangle = s1 + s2 + s3

For the red triangle;

Perimeter of the red triangle = 12 + 12 + 12

Perimeter of the red triangle = 36

For the blue triangle:

Perimeter of the blue triangle = 7 + 7 + 7

Perimeter of the blue triangle = 21

Taking the ratio of their perimeters;

Ratio of red to blue = 36:21 = 12:7

Hence the ratio (red to blue) of the perimeters of the similar triangles is 12:7

Learn more here: https://brainly.com/question/15046223

The points (6,r) and (9, 9) lie on a line with slope 5. Find the missing coordinate r.

Answers

Answer:

r = -6

Step-by-step explanation:

Use the slope formula and solve for r.

slope = y2 -y1

            x2 -x1

Since you know all the numbers except for r, plug everything in and you get:

5  = 9 - r

        9 - 6

So then do the arithmetic, you find that 9 - r = 15. So r must = -6.


X
0
1
2
3
4
g(x)
---3
--1
1
3
What is the slope of the f function?

What is the slope of the g ?

What function has the greater slope ?

Answers

Answer:

doh as djdjndjejehehdhdhdhdhehenejenenejenejenenenejrenenenenenenenenennenejeuehenejeiebenrkrbrndornrjebeydhrjjrhrhrhrb4hrhrhr

Step-by-step explanation:

rhdhdhuridnfhdjjdjfkf

If x = 1, what is the value of y given 2x + 2y = 18?

Answers

Answer:

y=8

Step-by-step explanation:

2(1)+2y=18

2+2y=18

minus 2 from both sides

2y=16

divide by 2 from both sides

y=8

Answer:

y=8

Step-by-step explanation:

1. If x is equal to 1, 2x is just 2.

2. We can subtract the 2 we already have. 18-2=16

3. 2y=16, divide by 2 on both sides.

y=8

Find the product.
(-4)(3) =

Answers

-12

Hope this helped ;)

Answer:

(-4)(3) = -12

Step-by-step explanation:

Open brackets. -4 x 3 = -12

Since it's multiplication, number doesn't matter (whether bigger or smaller), it depends on whether it is the only sign with a negative sign or not.

Factors:

- x - = +

- x + = -

+ x + = +

(x = */ multiply)

Hope this helped :)

To purchase on an engagement ring for his girlfriend, Elliott borrowed $3,800 from the bank for three years at a 4.25% simple interest rate. How much interest will he have paid at the end of the loan?

Answers

Answer:

$161.50

Step-by-step explanation:

4.25% of $3800 is $161.50

If the discriminant of a quadratic equation is 8, which statement describes the roots?
O There are two complex roots.
O There are two real roots.
O There is one real root.
O There is one complex root.

Answers

Answer:

There are two real roots

Step-by-step explanation:

From the value of the discriminant b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then 2 complex roots

Here b² - 4ac = 8 > 0 , then there are two real roots

Andre ran 2 kilometers in 15 minutes, and Jada ran 3 kilometers in 20 minutes. Both ran at
a constant speed.

In kilometers, how far did Jada run in 60 minutes?

Answers

Answer

9 Kilometers

Step-by-step explanation:

Jada ran 3 kilometers in 20 minutes

3 in 20 converting that to 60 for the question you would need to triple that

Giving you 9 in 60 minutes

Solve the following algebraic equation. Show each step of the process. (10 points)
1/4(y+24)= 32

Answers

Answer:

y=104

Step-by-step explanation:

1/4(y+24)= 32

y+24=128

y=128-24

y=104

Question is in the pic I need a right answer asap

Answers

answer:

yes

the lines are parallel to each other!

explanation:

hope this helped <3 also if wouldn't mind could you pls give me brainliest? (im trying to level up) thanks! :)

20 p − 4 ( 3 p − 6 ) = 8 ( 3 p − 6 ) − 16 p




Give steps to please !!!!

Answers

Answer:

5.5

Step-by-step explanation:

20p-4(3p-6)=8(3p-6)-16

20p-12p+24=24p-48-16

8p+24=24p-64

+64 on both sides

8p+88=24p

-8p on both sides

88=16p

/16 on both sides

answer = 5.5

A square has a side length of 5 1 4 inches. What is the area of the square?

Answers

Answer:

264.196

Step-by-step explanation:

514 times 514 = 264.196 = area of the square

If the average grade of an English class rose from 70 to 85, what is the approximate percent increase?

The percent increase is approximately 14%
The percent increase is approximately 17%
The percent increase is approximately 21%
The percent increase is approximately 35%

Answers

Answer:

the third answer, 21%

Step-by-step explanation:

the change was 15% and the original was 70 so,

15/70

=.21  

.21*100=21%

Answer:

c

Step-by-step explanation:

please help, i will give brainliest!

Answers

What’s the question ?

....i cant even read it

⊂∫⊃

match each product to the equivalent expression written as a sum

Answers

Answer:

12+6 = 6(2+1)

16+4=4(4+1)

12+8=4(3+2)

18+12=6(3+2)

Step-by-step explanation:

Answer:

12+6 = 4(3+2)

16+4=4(4+1)

12+8=6(2+1)

18+12=6(3+2)

Step-by-step explanation:

I need help anyone please???

Answers

Answer:

D

Step-by-step explanation:

Last week, Kimi spent $181.91 at the grocery store on Monday. Then she spent another $186.40 on Friday. How much did Kimi spend at the grocery store last week?

Answers

Answer:

$368.31

Step-by-step explanation:

In order to determine the amount that Kimi spent at the grocery store last week, you need to add the amount she spent on Monday plus the amount she spent on Friday:

$181.91+$186.40=$368.31

According to this, the answer is that Kimi spent $368.31 at the grocery store last week.

I HONESTLY DONT UNDERSTAND THIS ONE> I HAVE NO IDEA WHAT TO DO> HELP ME PLEASE

Answers

Answer:

C

Step-by-step explanation:

320 yards is converted into 920 feet which is the faster route than all the other routes converted to feet

Decide whether the two expressions are equivalent and explain your reasoning.
a.
3(x + 4) and 3x +12
Equivalent: Yes
No
Justification:
b.
10-2x and -2x +10
Equivalent: Yes
No Justification:
C.
-6(x + 5) and - 6x + 5
Equivalent: Yes
No
Justification:
d.
4x and 2x +2
Equivalent: Yes
No
Justification:

Answers

Answer:

b

Step-by-step explanation:

Answer:

a- yes

b- yes

c- yes

d- yes

Step-by-step explanation: They're. all yes

Which expression is equivalent to -0.2 - 4.9

Answers

Answer: 0.2- -4.9

Step-by-step explanation:

When u see a negative number change it to a positive to make it equivalent

2+6x=x-1 need help to solve​

Answers

Answer:

[tex]x=-\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]2+6x=x-1[/tex]

[tex]2+6x-2=x-1-2[/tex]

[tex]6x=x-3[/tex]

[tex]6x-x=x-3-x[/tex]

[tex]5x=-3[/tex]

[tex]\frac{5x}{5}=\frac{-3}{5}[/tex]

[tex]x=-\frac{3}{5}[/tex]

help me pls ;-; , i’m struggling here and suffering in silence

Answers

Answer:

suffer no longer ! im here for u!!!~~

the answer is JKN = 57

Step-by-step explanation:

JKN is JKL + LKN

we know that LKM = 42, and LKN is half of that because KN bisects LKM (splits into 2 equal parts)

so, LKN is half of 42

LKN = 21

to find JKL, subtract 42 from 78

JKL = 36

36 + 21 = 57

If the probability of a chance event is 0.67, it is less likely to happen than which of the following probabilities of another chance event?

0.65

0.76

0

0.61

Answers

0.76 is correct.

0.76 = 76% chance and 0.67 is less likely than 0.76.

Help I will give you brainliest if it’s correct!! Thank you....

Answers

Answer: Alternate exterior angles

Explanation: 1 and 2 are on opposite of the lines and is on the 'outside'

Answer:

I think its "B" but i dont know if you got A and C wrong but if i was you i will go with "B". Never mind the other guy says its D and i think he is correct.

Step-by-step explanation:

Ms. Granger gave the cashier $20 to pay for 3 bags of Halloween candy. The cashier gave her $5.24 in change. Each bag cost the same amount. What is the cost in dollars and cents for each bag of candy?

Answers

Answer:

$4.92 per bag

Step-by-step explanation:

20 - 5.24= 14.76

14.76 divided by 3 = 4.92

How do you find the y- intercept of a line? please explain by using the example above.

Answers

Answer:

12

Step-by-step explanation:

PLEASE HELP ME!!?!?!??!?

Answers

Answer:

y=2 is the slope

Step-by-step explanation:

Y=2 Let me know if you need an explanation ❤️
Other Questions
Summary of Thomas Jefferson's letter to Robert Livingston 2. Jose ______ para el aeropuerto. ( 1A, 1B, 1C )a llegab traec saled pone distance formula, help pls When a company purchases equipment, what account is credited in thejournal entry for this transaction?A. SalesB. EquipmentC. DepreciationD. Cash Suppose a 5-mintue overseas call costs 6.45 and a 10-minute calls costs 11.40. The cost of a call and the length of a call care related. Write an equation to show the cost of a call for any duration. Approximately how long can you talk on the phone if you have $51 to spend? why were Louis XVI and Marie Antoinette becoming unpopular in Pre-Revolutionary France? Haleys recipe calls for 4.5 cups of an ingredient. Her measuring bowl only has measurements marked in liters. Hayley knows that one cup is approximately 2.4 liters. Which measurement is closes to the number of liters of the ingredient that Haley needs for her recipe? A. 8.8 litersB. 7.8 litersC. 9.8 litersD. 10.8 liters PLEASEEEEE HELP!!!! ILL MARK BRAINLYEST!!!!!!!!What form or rule is demonstrated in this sentence?The blazing sun and stretches of sand--everything added to the fugitive's misery.A. dash used as interrupterB. dash used for summaryC. comma used with two or more adjectives preceding a noun A yoga studio memberships that cost $54 per month for unlimited classes.the studio also accepts walk-ins,charging $3 per class. How many classes in a month will it take for the walk-in amount to cost the same as monthly membership 1. Which was the Time of Troubles? Students who are effective at project management put off working on assignments until the last minute. complete assignments effectively and on time. organize their time and have the best ideas. ask their friends to do their work for them. 8. When you know both the speed and direction of an object's motion, you know the a. average speed of the object. b. acceleration of the object. c. distance the object has traveled. d. velocity of the object. How did plants adapt to life on land True or False: One possible way to solve the problem that arises from the increased usage is to charge a fee for using this service. Samantha always feels rushed in the morning, and she often forgets important items when she leave for school I'm having a bit of trouble, think you can help me out? I NEED ANSWER ASAPTwo pounds of peaches cost $450, 5 pounds cost $11.25, and 10 pounds cost $22.50 Show that the relationship between the number of pounds of peaches and the cost is a proportional relationship. Then write an equation for the relationship The equation needs to be written in y=kx format using no spaces and no capital letters. DONT ANSWER I FOUND IT ALREADYWhich best describes the purpose of the ice in this experiment? A. The ice melts into the flask causing a cloud to form. B. The ice cools the air around the flask, causing a cloud to form in the flask. C. The ice is used to hold the water in the flask so that it can't escape. D. The ice causes the water vapor in the air above the warm water to change, forming a cloud. PLEASE HELP WILL GIVE 20 POINTS AND BRAINLIESTPart AIn The Oldest and Youngest Places on Earth, what can be inferred about volcanic islands? The life they can support depends on how big they are. They can grow to support plant and animal life. The life they can support depends on how old they are. They are too rocky and barren to support life.Question 2Part BWhich two sentences from the text best support the answer in Part A? "From above, much of the dark gray island is now lush and green, and birds, such as owls and seagulls, make it their home." "But in 2020, the island was not only still around, but had developed a thriving ecosystem." Hunga Tonga-Hunga Ha'apai, as the island was named, was about one square mile in area and covered in black gravel. "The same type of rock that hardened and remained above ground in Baffin Island also hardened to form Hunga Tonga-Hunga Ha'apai more than four billion years later." The founding of the University of Georgia is evidence of which of the following? (34a) A. The belief that education was only for the wealthy. B. That all citizens in Georgia could get a free public education. C. Georgias willingness to imitate other states public universities. D. The states commitment to public education after the revolution.