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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

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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Answer:

transitive property of equality

Step-by-step explanation:

if a=b and b=c then a=c

Answer:

$6.57

Step-by-step explanation:

Answer:

6.57

Step-by-step explanation:

Answer:

What do you mean?

Step-by-step explanation:

Answer:

Step-by-step explanation:

 x - 3y = 5

2x +  y = 10  multiply by 3 to eliminate y and solve for x

 x - 3y = 5

6x + 3y = 30  then add

7x          = 35

simplify:

x = 35 / 7

x = 5  

substitute x = 5 back into the eq.2

 2x +  y = 10

2(5) +  y = 10

           y = 10 - 10

           y = 0

therefore the answer is ( 5, 0 )

Answer:

a,c,d

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

cancel the 1 and add 18+4=22

Answer:

D) 1,020 square units

Step-by-step explanation:

36x48=1728

24x32=768

6x10=60

1728-768+60=1020 square units

Answer: The perimeter is doubled

Step-by-step explanation:

When you double the length and width you have 2l as length and 2w as width. The new perimeter is 2(2l)+2(2w)=2(2l+2w). This means that when you double both sides, the perimeter is doubled.

Answer:

-15

Step-by-step explanation:

-30/3 = Negative thirty divided by three equals Negative Ten.

Negative ten plus negative five equals Negative Fifteen

Answer:

is -15

Step-by-step explanation:

-30/3+-5 =

-10 + (-5) =

-15

Answer:

a) 7

b)64

c)2

Step-by-step explanation:

look at images

Answer:

x = 2

Step-by-step explanation:

The topic here is "fractional exponents."

Review:  2^3 = 8 (this is the cube of 2), and so the inverse function is

            8^(1/3) = 2    ("8 raised to the fractional exponent 1/3 is 2"

Question a)  49^(1/2) ("49 to the power 1/2") can be rewritten as

(7^2)^(1/2), which simplifies to 7^(2*1/2) = 7^1  =  7

Caution:  this is exponentiation, not division.  So 49^(1/2) does not equal 49/2.

Question b)     (     )^(1/3)  =  4

I would prefer to write this as x^(1/3) = 4 and set the goal of finding the value of the base, x.

Then x^(1/3) = 4   ("x raised to the power 1/3 is 4")

Let's elimiinate the fractional exponent on the left by cubing both sides of the equation:

{x^(1/3)}^3 = 4^3, or, after simplification,

x^1 = 64, or, in simplest form,

x = 64

Question c)

Notice that the base here is 1/100

and that the square root of 1 is 1 and that of 100 is 10.

Therefore, the given

{1/100} is equivalent to {1/10)^2

and so we have:

          1                      1

  (------------)^(1/x) = -------   (we are to find x)

     10^2                    10

Note that 10 is the square root of 10^2, also the square root of 100.

So let's take the square root of 10^2.  We get 10.

Therefore, try x = 2 and see whether the given equation is true:

      1                      1

{---------)^(1/2)   =  ------

 100                     10

The square root of 1 is just 1.  The square root of 100 is 10.  

Therefore the above equation becomes

 1        1

----- = -----  and so  x = 2 is correct.

10      10

Answer:

32

Step-by-step explanation:

the x is not a variable

Answer:

We need the choices, since there are plenty equations with the same value.

Step-by-step explanation:

4/25=0.16

Whichever equation equals 0.16 is your answer.

Answer:

7.) a. 84 hundredths

8.) 6(.36)= 2.16 meters

9.) 9.40÷4= 2.34 meters

I cant see 10 clearly

11.) No because if you multiply 2×4 you get 8 so .814 wouldn't be reasonable

Answer:

An echo is formed as a result of reflection of the original sound which returns to the listener. You might have experienced Echo in an EMPTY ROOM but no echo is produced after the room is occupied. To avoid echo from being  produced the echo has to be absorbed. Echo in a cinema theatre is absorbed by the WALLS of the theatre.

They are not plain. The walls are corrugated or shaped to form tiny holes or empty spaces to ABSORB the ECHO. Modern Theatre's have ABSORBENT materials sticked to the walls of the theatre.

An echo is an unpleasant sound heard after a produced sound got reflected from a plain surface. It is majorly eliminated in a cinema theater by:

Echo is a sound produced due to the reflection of a produced sound by a plain surface. Its continuous occurrence leads to reverberation. It causes distortion of produced sound which makes it unpleasant to hearing. Thus the need for a mechanism which would reduce it to a bearable level.

To reduce or eliminate echo, the walls of the cinema theater had been constructed with sound absorbing materials which may include special pads. These would have been incorporated into the walls, and would absorb most unwanted sounds produced in the theater.

Also the cloths worn by viewers absorbs some of the unwanted sound, thus assisting to indirectly reduce echo.

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Answer:

2

Step-by-step explanation:

-2x+y=-7

Take the -2x and put it on the other side of the equation by changing the sign

y=-7+2x

Now put it in y intecpet form by putting the 2x first

y=2x-7

Slope is the number before the x.

so 2

Now knowing that parallel lines always have the same slope the answer is 2

Answer:

It would be 1/625

Step-by-step explanation:

5^-4=0.0016

0.0016 as a fraction is 1/625

Hope this helps! :)

Answer:

5 1/4

Step-by-step explanation: hope this helps you out!

9514 1404 393

Answer:

Step-by-step explanation:

The signs of the terms are + - - +. There are two sign changes, so 0 or 2 positive real roots.

Negating the signs of the odd-degree terms, the signs are + + + +. There are no sign changes, so 0 negative real roots.

For x=0, the value of the quartic is +3. For x=1, the value is -3, so we know there are 2 positive real roots, one of which lies in the interval (0, 1).

The 4th-degree polynomial equation must have 4 roots, so the other two must be complex.

_____

The roots are approximately 0.489999841592, 2.06573034434, −0.777865092969 ± 1.53582061225i

Answer:

0.7

Step-by-step explanation:

3.5 × 0.2 = 0.7

It is is hard to show work for this through text

Answer:

.7

Step-by-step explanation:

1' 3.5

* .2

_____

. 7 0

Hope this helped :P

Answer:

1.2 x 10^4 = 12,000

4.5 x 10^-3 = 4.5 x 1/(10^3) = 4.5/1000 = 0.0045

3.8 x 10^3 = 3,000

7.5 x 10^3 = 7,000

largest is 1.2 x 10^4

Hope this helps!!

Step-by-step explanation:

Answer:

  16.32 N11.38°E km/h

Step-by-step explanation:

16.0∠0° +3.22∠90° ⇒ (x, y) = (3.22, 16.0) ⇒ (r, θ) =

(3.22, 16.0) ⇒ (r, θ) = (√(3.22² +16²), arctan(3.22/16)*) = (16.32, 11.38°)

The woman's velocity is 16.32 km/h in a direction that is 11.38° east of north.

_____

This is her velocity in any stationary frame of reference.

____

* We have used North as the reference for the angle, measured CW.

Answer:  see attachments

Step-by-step explanation:

Slope-Intercept format is: y = mx + b    

                                                 ↓      ↓

                                                 ↓      Intercept (where it crosses the y-axis)

                                                Slope (rise over run)

Answer: 55.6875

Step-by-step explanation:

Answer:

8.25

x6.75

Step-by-step explanation:

55.6875

Answer:

a=d-c/b

Step-by-step explanation:

Based on the information given the assessed value of your property is: a $29,978.

Using this formula

Value of property=Property taxes amount/Property tax rate

Where:

Property taxes amount=$2458.20

Property tax rate=0.082

Let plug in the formula

Value of property=$2458.20 /0.082

Value of property=$29,978

Inconclusion the assessed value of your property is: a $29,978.

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Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps