Suppose it is certain that an earthquake will occur someday. What is the probability (to the nearest percent) that it will occur while you are at work? Assume you are at work 8 hours per day, 240 days per year.

Answers

Answer 1

Answer:

22%

Step-by-step explanation:

Given that:

Number of hours at work daily = 8 hours

Number of days at work per year = 240

Total number of hours at work per year = Number of hours at work daily [tex]\times[/tex] Number of days at work per year

Total number of hours at work per year = 8 [tex]\times[/tex] 240 = 1920 hours

Total number of days in an year = 365

Total number of hours per day = 24

Total number of hours in an year = 24 [tex]\times[/tex] 365 = 8760

Here, to find the probability that the earthquake will occur while the person is at work, we actually have to find the fraction of number of hours at work to the total number of hours in an year.

Therefore, the required probability is:

[tex]\dfrac{1920}{8760} \approx \bold{0.2191}[/tex]

Therefore the probability to the nearest percent is: 22%


Related Questions

PLEASE HALP IM TIMES

Answers

Answer:

1,3,4

Step-by-step explanation:

Name a positive or negative number to represent each situation.
1. depositing $85 in a bank account ____

Answers

Answer:

Postive 85

Step-by-step explanation:

A deposit is a financial term that means money held at a bank. A deposit is a transaction involving a transfer of money to another party for safekeeping. However, a deposit can refer to a portion of money used as security or collateral for the delivery of a good.

Answer: The answer is positive!

Step-by-step explanation: I have my ways ;>

(I'LL BE GIVING BRAINLIEST AND EXTRA POINTS TO WHO EVER HELPS ME!! :D)



Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces of chocolate chips does she have left?

A) one and ten forty eighths ounces

B) one and three fourteenths ounces

C) two and ten forty eighths ounces

D) two and three fourteenths ounces

(Here is an image if needed) :

Answers

1 and 10/48

5(7/8) - 4(4/6)
47/8 - 28/6
29/24
1 and 5/24

1 and 10/48

A manufacturer of women’s blouses has noticed that 80% of their blouses have no flaws, 15% have one flaw, and 5% have two flaws. If you buy a new blouse from this manufacturer, the expected number of flaws will be:_________

a. 0.15
b. 0.20
c. 0.80
d. 1.00
e. none of the above

Answers

Answer:

b

Step-by-step explanation:

80% +15% +5%=100

15/100= 0.15

5/100= 0.05

therfore

0.15 + 0.05 = number of flaws

=0.20

Based on the flaws that the manufacturer notices, we can infer that the expected number of flaws will be 0.25 which is e. none of the above.

The expected number of flaws is a weighted average of the percentages that have flaws:

=∑ (Percentage of flaws x Number of flaws)

The expected number of flaws is therefore:

= (80% x 0) + (15% x 1) + (5% x 2)

= 15% + 10%

= 0.25

In conclusion, you would expected the number of flaws to be 0.25.

Find out more at https://brainly.com/question/13412627.

A radius of 8.5m what is the area

Answers

Answer:

22/7 * 8.5 * 8.5 = answer

Answer:

Step-by-step explanation:

A = π r² ≈ 3.14 × (8.5)² = 226.865 m²

What is 31; can vary by 7% ?

Answers

9514 1404 393

Answer:

  28.83 ≤ x ≤ 33.17

Step-by-step explanation:

7% of 31 is ...

  0.07 × 31 = 2.17

When we say the value can vary from 31 by 7%, we usually mean it can go that much lower or higher. For some value x, this means ...

  31 -2.17 ≤ x ≤ 31 +2.17

  28.83 ≤ x ≤ 33.17

YALLLLL PLEASE HELP MEEEEEEEEEEEEEEE I WIIIL MAKR BRANLIEST IF CORRECT!!!!!!!!
Write an equation in slope intercept whose slope is 5 and y intercept is -3

Answers

Answer:

y=5x-3

Step-by-step explanation:

it just is

Answer:

y=5x-3

Step-by-step explanation:

A department store buys 500 shirts at a cost of ​$4000 and sells them at a selling price of ​$10 each. Find the percent markup.

Answers

9514 1404 393

Answer:

  25%

Step-by-step explanation:

The markup is the difference between the selling price and the cost price.

  markup = (500)($10) - $4000 = $1000

Then the percent markup of the cost price is ...

  markup/(cost price) = $1000/$4000 × 100% = 25%

The percentage markup was 25%.

Use a mutiplication strategy to solve 12x12.

Answers

Answer:

144

Step-by-step explanation: Hope this helps

Answer:

144

Step-by-step explanation:

What is an equation in point-slope form of the line that passes through (-7, 1) and (-3, 9)?
A. y+ 3 = 2(x - 9)
B. y- 3 = 2(x + 9)
C. y + 9 = 2(X - 3)
D. y- 9 = 2(X + 8)

Answers

Answer:

Step-by-step explanation:

y+3=2(x-9)

if the endpoints of AB are A(-2,3) and B(1,8), which shows the correct way to determine the coordinates of point C,
the midpoint of AB?

Answers

Answer:

(-1/2 , 5/2)

Step-by-step explanation:

=(-2+1)/2,(-3+8)/2

=(-1/2 , 5/2)

Please answer fast !!!!!!

Look at the picture

Answers

Answer:

< EAC = 31 (small angle of blue triangle)

< BCA = 31 (small angle of green triangle)

< ABC = 104 (big angle of green triangle)

< BDC = 45 (yellow triangle)

< BDF = 135 (outside yellow triangle)

< AEG = 76 (outside blue triangle)

f(x)=-3x2 + 2x - 7 f(-1)=

Answers

What’s after the =
Loading....

Answer: I hope I’m not too late, but the answer is A.) 12

Step-by-step explanation:

an object Travels hundred meters in 10 seconds and then another 200 meters in 5 seconds what is the average speed of the object​

Answers

Answer:

I think ur and is 50 m/ s.

answer is 5m/s that is the answer

Step-by-step explanation:

200 ÷ 5 = 20

100 ÷ 10 = 10

Use algebra to find the value of x in the triangle below. Notice the measurement of the angle is not necessarily the same as the value of x.
X =

2x
х
7x

Answers

Answer:

X = 18

Step-by-step explanation:

the sum of each angle should be 180°, so if you add them all together should give you 180° and from there you change the value for x, and you find each angle.

2x + x + 7x = 180

10x = 180

x = 18

2*18 = 36°

18°

7*18 = 126°

answer: x=18

explanation

Maricopa's Success scholarship fund receives a gift of $ 75000. The money is invested in stocks,
bonds, and CDs. CDs pay 2.25 % interest, bonds pay 4.4 % interest, and stocks pay 6.5 % interest.
Maricopa Success invests $ 30000 more in bonds than in CDs. If the annual income from the
investments is $ 3610, how much was invested in each account?
Maricopa Success invested $___in stocks.
in bonds.
Maricopa Success invested $___ in bonds.
Maricopa Success invested $____in CDs.

Answers

Answer:

Maricopa's Success invests $25,000 in stocks, $40,000 in bonds, and $10,000 in CDs.

Step-by-step explanation:

a = Stocks

b = Bonds

c = CDs

a + b + c = 75000

b = 30000 + c

a = 75000 - c - 30000 - c = 45000 - 2c

0.065(45000 - 2c) + 0.044(30000 + c) + 0.0225c = 3610

2925 - 0.13c + 1320 + 0.044c + 0.0225c = 3610

0.0635c = 635

c = 10000

So b = 40000 and a = 25000

126×(−55)+126×5 STEP explanation ​

Answers

Your answer is: -6300

Hope this helps and happy holidays!!

the length of a triangle is 3 centimeters less than twice its width its area is 35 square centimeters find the dimensions of the rectangle use formula area=length*width the width is ?_ the Length is?_

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

We have:

The length of a triangle is 3 centimeters less than twice its width.Area = 35 cm²

We need to find:

Dimensions of the rectangle?

Solution:

Let the width be w. Then the length would be:

➝ Length = 2(width) - 3

➝ l = 2w - 3

Area of rectangle: l × b

➝ Length × width = 35 cm²

➝ (2w - 3)w = 35

➝ 2w² - 3w - 35 = 0

Now finding value of x by middle term factorisation,

➝ 2w² - 10w + 7w - 35 = 0

➝ 2w(w - 5) + 7(w - 5) = 0

➝ (2w + 7)(w - 5) = 0

Hence,

w = 5 because width can't be negative.l = 2(5) - 3 = 7

Therefore,

Width = 5 cmLength = 7 cm

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

let x represent the rectangle's width;

thus;

Width = x

Length = 2x - 3

Area = 35 sq. cm.

Area = Length × Width

35 = (2x - 3)(x)

35 = 2x^2 - 3x

2x^2 - 3x - 35 = 0

Factorizing:

x = 5 or -3.5

but width is a scalar quantity and cannot be negative:

Hence:

Width = 5 cm.

Length = 2(5) - 3 = 7 cm.

6x = 41

x = 7 to the nearest whole number.

Width = 7 cm.

Length = 2(7) - 3 = 11 cm.

What is 7y + 15 - 7y - 8?

Answers

Answer:

7

Step-by-step explanation:

7y + 15 - 7y - 8

15 - 8

7

Answer:

7

Step-by-step explanation:

Find the quotient:
7/8

Answers

Answer:

c.) 2 1/3

Step-by-step explanation:

i know

Looking at the histogram, how many students took the exam?
A: 37
B: 14
C: 5
D: 28​

Answers

Answer:

(-2, 33) and (5, - 16)?

A. 7x- y=51

B. 7x+ y= -47

C. 7x+ y= -14 D. 7x+y= 19

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

I hope I helped have a great day.

please help this question is very difficult ................

Answers

Answer:

[tex]\lim _{x\to \:0}\left(\frac{\sqrt{1+x}+\left(1+x\right)^7-2}{7}\right)\\\\\frac{\sqrt{1+0}+\left(1+0\right)^7-2}{7}\\\\then\ simplify\\=0[/tex]

Step-by-step explanation:

9. Which of the following equations has NO solution?

A. a + 2 = a + 2
B. a = -a + 2
C. a + 2 = a - 2
D. a + a = 2​

Answers

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0

Use the method of lagrange multipliers to find

a. The minimum value of x+y, subject to the constraints xy=196, x>0, y>0
b. The maximum value of xy, subject to the constaint of x+y=196

Answers

Answer:

a) The function is: f(x, y) = x + y.

The constraint is: x*y = 196.

Remember that we must write the constraint as:

g(x, y) = x*y - 196 = 0

Then we have:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y,  λ) = x + y +  λ*(x*y - 196)

Now, let's compute the partial derivations, those must be zero.

dL/dx =  λ*y + 1

dL/dy =  λ*x + 1

dL/dλ = (x*y - 196)

Those must be equal to zero, then we have a system of equations:

λ*y + 1 = 0

λ*x + 1 = 0

(x*y - 196) = 0

Let's solve this, in the first equation we can isolate  λ to get:

λ = -1/y

Now we can replace this in the second equation and get;

-x/y + 1 = 0

Now let's isolate x.

x = y

Now we can replace this in the last equation, and we will get:

(x*x - 196) = 0

x^2 = 196

x = √196 = 14

then the minimum will be:

x + y = x + x = 14 + 14 = 28.

b) Now we have:

f(x) = x*y

g(x) = x + y - 196

Let's do the same as before:

L(x, y, λ) = f(x, y) +  λ*g(x, y)

L(x, y, λ) = x*y +  λ*(x + y - 196)

Now let's do the derivations:

dL/dx = y + λ

dL/dy = x + λ

dL/dλ = x + y - 196

Now we have the system of equations:

y + λ = 0

x + λ = 0

x + y - 196 = 0

To solve it, we can isolate lambda in the first equation to get:

λ = -y

Now we can replace this in the second equation:

x - y = 0

Now we can isolate x:

x = y

now we can replace that in the last equation

y + y - 196 = 0

2*y - 196 = 0

2*y = 196

y = 196/2 = 98

The maximum will be:

x*y = y*y = 98*98 = 9,604

PLZ Help Urgent. 15 POINTS, BRAINLY Guaranteed.
Plz Answer honestly or you will be reported.

Multiply.
15 ⋅ 1/3

1/45

1/5

5

45

Answers

Answer:

5

Step-by-step explanation:

[tex]\frac{15}{1}[/tex] multiplied by [tex]\frac{1}{3}[/tex]

which makes: [tex]\frac{15}{3}[/tex]

simplify: 5



For f(x) =1/x^2-3

find:

(a) f(3) (3 points)

(b) f(2+h) (3 points)

Answers

Answer:

[tex]f(3) = \frac{-26}{9}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

Step-by-step explanation:

Given

[tex]f(x) = \frac{1}{x^2} - 3[/tex]

Required

Find f(3) and f(2 + h)

Solving f(3)

Substitute 3 for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(3) = \frac{1}{3^2} - 3[/tex]

[tex]f(3) = \frac{1}{9} - 3[/tex]

Take LCM

[tex]f(3) = \frac{1 - 27}{9}[/tex]

[tex]f(3) = \frac{-26}{9}[/tex]

Solving f(2 + h)

Substitute 2 + h for x in [tex]f(x) = \frac{1}{x^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{(2 + h)(2 + h)} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 2h + 2h + h^2} - 3[/tex]

[tex]f(2 + h) = \frac{1}{4 + 4h + h^2} - 3[/tex]

Take LCM

[tex]f(2 + h) = \frac{1- 3(4 + 4h + h^2)}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{1- 12 - 12h - 12^2}{4 + 4h + h^2}[/tex]

[tex]f(2 + h) = \frac{- 11 - 12h - 12^2}{4 + 4h + h^2}[/tex]

Butch wanted to buy a book about football. The book was $25.00 new. His friend Jake
told him to check the used book store. The book was $15.00 used. What percentage
was the book marked down?
OA
60%
О В.
40%
O C.
33%
OD.
25%

Answers

Answer:

B) 40%

10 is 40% of 25.

Answer:

40%

Step-by-step explanation:

PROBABILTY- Could you help me please?

Answers

Answer:

I think the answer is (c) 3

y = 3x - 12x +9
In standard form?

Answers

Answer:

y=-9x+9

Step-by-step explanation:

There are only two like terms in the equation which I have underlined.

y= 3x - 12x +9

To simplify it, you combine the like terms and get your equation in standard form.

4^4÷4^7 as a fraction

Answers

Answer: multiply it by the bisector of the photosynthesis.

obviously

Step-by-step explanation:

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