If an hourglass takes an average of 1 hour to empty a full cycle, what probability of time does it take longer than 72 minutes if the standard deviation is 5 minutes? (Make sure to use a percentage!)

Answers

Answer 1

Answer:

0.82%

Step-by-step explanation:

First find the z-score.

z = (x − μ) / σ

z = (72 − 60) / 5

z = 2.4

Use a chart or calculator to find the probability.

P(Z > 2.4) = 1 − P(Z < 2.4)

P(Z > 2.4) = 1 − 0.9918

P(Z > 2.4) = 0.0082

Answer 2

Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.

What is the probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.

Here given that,

If an hourglass takes an average of one hour to empty a full cycle.

Now, First find the z-score.

[tex]z = (x-[/tex] μ[tex])[/tex]/σ

[tex]z = \frac{72 - 60}{5}\\z = 2.4[/tex]

Now, using the calculator to find out the probability.

[tex]P(Z > 2.4) = 1 - P(Z < 2.4)\\\\P(Z > 2.4) = 1 - 0.9918\\\\P(Z > 2.4) = 0.0082[/tex]

Thus,

[tex]0.0082(100)=0.82[/tex]%

Hence, the probability of time does it take longer than [tex]72[/tex] minutes if the standard deviation is [tex]5[/tex] minutes is [tex]0.82[/tex]%.

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Related Questions

22. Restaurants At Morgan's Fine Cuisine, meals are served a la carte. That is, each
item on the menu is priced separately. Jackie and Ted Parris went to Morgan's to
celebrate their anniversary. Jackie ordered prime rib, 2 side dishes, and a roll. Ted
ordered prime rib, 3 side dishes, and 2 rolls. Jackie's meal came to $36 and Ted's
meal came to $44. If the prime rib is three times as expensive as a side dish, what
is the cost of each item?

Answers

Answer: Cost of a side dish = $ 7

Cost of a roll = $1

Cost of prime rib = $21

Step-by-step explanation:

Let x = cost of a side dish , y= cost of a roll

Then, cost of a prime rib = 3x

Jackie's meal : prime rib, 2 side dishes, and a roll, it came to $36

i.e. 3x+2x +y = 36

⇒ 5x+y=36   (i)

Ted's meal : prime rib, 3 side dishes, and 2 rolls, it came to $44.

i.e. 3x+3x +2y = 44

⇒6x+2y=44

⇒ 3x+ y= 22   (ii)  [divide both sides by 2]

Subtract (ii) from (i), we get

2x= 14

⇒ x=7               [divide both sides by 2]

Put x=7 in (ii), 3(7)+y=22

⇒ 21+y=22

⇒  y =22-21

⇒ y= 1

So, cost of a side dish = $ 7

cost of a roll = $1

cost of prime rib = 3x $7 = $21

Plz only answer if ur sure about the answer :)

Answers

Answer:

66r+77   |    -14k+9

Step-by-step explanation:

i gotchu big daddy

Sequence: 2, 6, 10,_,_ _.
What are the next two numbers in the sequence?
A 14, 18
B
16, 24
C 14, 20
12, 16

Answers

The next two numbers in the sequence are 14 and 18

Answer:

A. it goes up by 4 each time so 4 to 10 would be 14 and 4 up from that would be 18

In 1999, the price of unleaded fuel was $1.09. In 2015, the price of unleaded fuel is $1.89. What is the percent change ​

Answers

Answer:

73.39%

Step-by-step explanation:

Initial price

$1.09

Later price

$1.89

Percent change:

(1.89 - 1.09)/1.09 × 100% =0.7339 × 100% =73.39%

What is the value of x?​

Answers

Answer:

x = 98

Step-by-step explanation:

x = 53 + 45

x = 98

note: the measure of an ext. angle of a triangle is equal to the sum of the two non-adjacent interior angles.

Answer:

98

sum of angle in this triangle = 180

180-(53+45) = 82

so, the third angle is 82 degrees.

moving forward, the third angle (82 degrees) and angle x are straight line angle,

therefore, x + 82 = 180

x =180-82

x=98

Can someone help me with my math? Please, I am begging you! It's due today and I'm confused.
A line goes through the points (0,7) and (1,9). Write the following equation forms:
Point-Slope Form (using the point (1,9):
Slope-Intercept Form:
Standard Form:

Answers

Answer:

[tex]Point-Slope \: Form \: (using \: the \: point \: (1,9) \to \boxed{y-9=2x- 2}\\

Slope-Intercept \: Form \to \boxed{y = 2x + 7}\\

Standard \: Form\to\boxed{ 2x - y = - 7}[/tex]

Step-by-step explanation:

[tex]the \: equation \: is \: gotten \: by \: applying : \ \\ (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} .............(the \: slope) \\ y-y_{1} =m (x- x_{1})..............(point \: slope \: form) \\ y = mx + c..............................(Slope-Intercept \: Form) \\ \alpha x + \beta y = c...................(Standard \: Form) \\ \\ part \: a. \to \\ Point-Slope \: Form \: (using \: the \: point (1, \: 9)): \\ y-y_{1}=m (x- x_{1}) \\ y-9=m (x- 1) \\ but \: m = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} = \frac{9 - 7}{1 - 0} \\ m = 2. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y-9=2x- 2}. \\ \\ part \: b. \to \\ Slope-Intercept \: Form: \\ since \: m \: is \: already \: given \: then \: we \: apply : \\ y = m(x) + c \\ c = y - m(x) \\ c = 9 - 2(1) \\ c = 7. \\ therefore \: the \: required \: equation \: is : \\ \boxed{y = 2x + 7}. \\ \\ part \: c. \\Standard \: Form: \\ the \: standard \: form \: is \: given \: by : \\ \alpha x + \beta y = c \\ \boxed{ 2x - y = - 7} \\ is \: the \: required \: equation.[/tex]

♨Rage♨

1. Marvin and Zoey both are working part time jobs for the summer and the graph below
represents their earnings. The horizontal axis represents the hours worked, the vertical
axis represents the money earned, the dashed line represents Zoey's earnings, and the
solid line represents Marvin's earning. Who earns more?

Answers

Could you show the graph?

3.a shoe store marks up its merchandise by 8%. what was the selling price of a pair of shoes whose wholesale price is $24.50?

Answers

Answer:

Hi there!

Your answer is:

26.46$ selling price

Step-by-step explanation:

.08 markup

Original price= 24.5

24.5+ (.08*24.5)

26.46$

8(-a+4)=-6a-8+8a
Can y’all help me

Answers

Answer:

a = 14.4

Step-by-step explanation:

8a/8 = a       8(-a+4)/8=-a+4      equation is now    -a+4=-6a-8

-6a/-6 = a      -a/-6=1/6a    equation is now   1/6a + 4 = a-8

a-8 + 8 = a      1/6a + 4 + 8 = 1/6a + 12     equation is now     a = 1/6a+12

5/6 are left of the variable  12/5=2.4    12 + 2.4 = 14.4

A calculator screen shows a number in scientific notation as 1.16E‒7. Write this number in standard form.

Answers

Remember from now on :

E = 10

Let's solve now....

[tex]1.16 \times {10}^{ - 7} = [/tex]

[tex]116 \times {10}^{ - 9} = [/tex]

[tex]0.000000116[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Solve the equation for a, when b=4 and c=5

[tex]17+2b-4c=4(a-7)-3[/tex]

Answers

The answer to the equation is a=9

g(t) = -2t + 3f(t) = 2t - 5
Find (g f)(t)

Answers

Answer:

( g − f ) ( a ) = g ( a ) − f ( a )

( g −f ) ( a ) = g ( a ) − f ( a )

= − 3 a − 3 − a 2 − 5

= − a 2 − 3a − 8

Step-by-step explanation:

After calculating, the value of (g f) (t) is ( - 4t + 13).

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The functions are,

⇒ g(t) = -2t + 3 and f (t) = 2t - 5

So, The value of function (g f) (t) is find as;

⇒ (g f) (t) = g (f (t))

             = g (2t - 5)

             = - 2 (2t - 5) + 3

             = - 4t + 10 + 3

             = - 4t + 13

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(C) In the past 9 days, Lena has received the following numbers of email advertisements per day:
40, 41, 42, 43, 46, 48, 50, 52, 85.
Which measure should be used to summarize the data?
Mean
Median
Mode

Answers

median -46
mode-40,41,42,43,46,48,50,52,85
mean-49.666

Which expression is equivalent to 33.63.23 without
exponents?

Answers

B)
3 x 3 x 3 x 6 x 6 x 6 x 2 x 2 x 2

Which is a graph of y = -2x + 3

Answers

A graph that has a y-intercept at 3 and goes down by 2
Hope it helps :)
y=-2X+3

Right how do we write 10 hundredths in standard form

Answers

Answer:

Thus, ten hundredths in standard form (or standard notation) is 0.1. We call it 'one-tenth', it's a small number of less than 1.

Step-by-step explanation:

Hope this Helps

Answer:

0.1

that is 10 hundredths in standard form

A parkingmeter charges$2 perhour.As a driverparks hercar,she noticesthat the parkingmeterhas15 minutesremainingonitfromthe previousdriver whousedthe parking spot.Ifthedriverinsertsd dollarsintotheparkingmeter and theparkingmeter has 3 hoursremainingon itas a result,write an equationtosolve ford?

Answers

Answer:

3 = 0.25 + 0.5d

Step-by-step explanation:

Given that:

Amount charged per hour = $2

Time left before inserting $d = 15 minutes

Total time after inserting $d = 3 hours

Total time of 3 hours = time left by previous driver + hours purchased with $d

$2 = 1 hour

$d = x

2x = d

x = d/2 ; 0.5d

Since 15 minutes is left before inserting $d

15 minutes to hour ; 15/60 = 0.25

Total time of 3 hours = time left by previous driver + hours purchased with $

3 = 0.25 + 0.5d

You spent $36 buying $9 storage crates
and $3 notebooks. This situation can be
modeled by the equation 9x + 3y = 36.
Find the x- and y-intercepts. Graph
the equation.

Answers

Answer:

y-intercept=-4

x-intercept=12

If TGS = KEL, which angle in KEL corresponds to T?

Answers

Hello.

If ΔTGS ≅ ΔKEL, then angle ∠T ≅ ∠K because:

∠T ≅ ∠K

∠G ≅ ∠E

∠S ≅ ∠L

Answer:

Then it is K

But you aren't giving me a lot of information

to work with here, so I answered it the best I know-how.

Step-by-step explanation:

:) Hope you enjoy it :)

Helps me solve this problem please

Answers

Answer:

-4 hope it helps :)

Step-by-step explanation:

Step-by-step explanation:

mark as brainlistyour answer is -4

Jessica bought 4 packages of birthday invitations for 16.95 per package including tax each package contained 12 birthday invitations one stamp coast 0.44 she plans to split the cost evenly with her mother how much money will Jessica mother need to give to Jessica

Answers

Answer:

Jessica's mum will give her 44.46

Step-by-step explanation:

To solve this, we will first of all need to get the total cost of sending the birthday invitations across. After that, we can now split the cost into two.

Cost of sending birthday invitations:

Package cost = 16.95

Number of packages bought = 4

total sum spent on packages = 4 X 16.95 = 67.8

Each package contains 12 invitations.

There are 4 packages.

Total number of invitations = 12 X 4 = 48 invitations

One stamp cost 0.44.

Putting stamps on all 48 invitations will cost 0.44 X 48 = 21.12

Therefore the total cost will be  the total sum spent on packages +the total sum spent on stamps = 67.8 + 21.12 = 88.92

Her mum has agreed to pay half of this cost which is 88.92 / 2 = 44.46

What is the number 7 1/3 written as an improper fraction?

Answers

Answer:

22/3

Step 1: Multiply 7 by 3.

7 x 3 = 21

Step 2: Add 1.

21 + 1 = 22.

Answer = 22/3

Answer:

22/3

Step-by-step explanation:

7 * 3 = 21

21 + 1 = 22

22/3

To make this an improper fraction you need to multiply the denominator by the whole number. Then add the sum of that to the numerator.

Hope this helps! :)

ivy bought 10 packs of cups for her holiday party. a pack of medium cups costs $1.80 and a pack of large cups costs $2.40. she paid a total of $21.60. how many packs of each size cup did she buy?

Answers

Hope this helps!
I just did this right now and this is the correct way.

Find the area of the shape shown in Figure 1 and type your answer into the box below in units squared.

15 points!! ill also give you a brainliest if you get it right!

Answers

Answer:

34 unit squared

Step-by-step explanation:

4*12 then divide 2

4*5 then divide by 2

add two values together and get 34

Answer:

24

Step-by-step explanation:

A=bh x (1/2)

base times height divided by two

PLZ HELP ASAP WILL MARK BRAINIEST
(x−5)/2 + (x−1)/8 = (x−3)/4 + (x−4)/3
solve for x!!

Answers

Answer:

x= 13

Step-by-step explanation:

Question 8
Translate and Solve
Twelve more than seven times a number equals the number less six. What is the answer not equation?

Answers

Answer:

-3

Step-by-step explanation:

12 + 7x = x - 6

7x - x = -6 - 12

6x = -18

x = -3

The translation of the given statement is 12 + 7n < 6.

What is inequality ?

Inequality is a form of comparing two non equal quantities.It has four types less than, less than or equal to and greater than, greater than equal to.

According to the given question we have to translate a given statement into a numerical expression.

Given, Twelve more than seven times a number equals the number less six.

Let the number be denoted by 'n'.

Twelve more than 7 times a number is 12 + 7n is less than 6.

12 + 7n < 6.

7n < 6 - 12

7n < -6

n < -6/7.

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Deb ate 15 strawberries.
Amir ate 5 fewer strawberries than Deb.
How many strawberries did Amir eat?
strawberries
help pls quick

Answers

Amir at 10 strawberries

Explanation:
Less= subtract
15-5=10

Answer:

I think 15

Step-by-step explanation:

I don't have enough finger so I used my toes.

HELLLOOOO THIS IS DUE HELP

Answers

Answer:

RS=13

Step-by-step explanation:

RS+ST=RT

2w+1+w-1=18

3w=18

w=6

RS= 2w+1= 2(6)+1= 12+1= 13

A factory made 125 packs of gum. 32% of the packs contained mint-flavored gum. How
many packs of mint gum did the factory make?

Answers

Answer:

3.90

Step-by-step explanation:

The College Bookstore is having a back-to-school sale the t-shirts that are usually sell for $34.50 are marked down to $20.70 what percent off are they

Answers

Answer:

40% off

Step-by-step explanation:

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