The average commute to work (one way) is 25 minutes according to the 2005 American Community Survey. If we assume that commuting times are normally distributed and that the standard deviation is 6.1 minutes, calculate the probability that a randomly selected commuter spends for the following cases.
1. More than 31 minutes commuting one way.
2. Less than 8 minutes commuting one way.

Answer:

3

Step-by-step explanation:

11/1 divided by 11/3

keep change flip to get:

11/1 x 3/11

and multiply to get:

33/11

Simplify to get:

3/1 or 3

Answer:

3

Step-by-step explanation:

step one is to make the fraction into a unbalanced fraction

step two is to make it a proper fraction by switching the values (I am talking about 2 2/3s so you know)

Then remove the greatest common factor, so 11, and only three remains

Answer:

-9b+2n-4+2b

-7b+2n-4 is your answer

Answer: 5.04

Step-by-step explanation:

Answer:

FV= 639.483 arboles

Step-by-step explanation:

Dada la siguiente información:

Cantidad de árboles talados (A)= 85.000

Proporción de crecimiento (g)= 9% mensual

Cantidad de meses (n)= 6

Para calcular el total de árboles talados en 6 meses, tenemos que usar la siguiente formula:

FV= {A*[(1+i)^n - 1]} / i

A= cantidad de árboles talados

i= proporcion de crecimiento

n= cantidad de  meses

FV= {85.000*[(1.09^6) - 1]} / 0.09

FV= 639.483 arboles

Ahora, la cantidad de árboles que se talaran en el sexto mes:

FV= PV*(1+i)^n

FV= 85,000*(1.09^6)

FV= 142.553

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

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Answer:

200 days

Step-by-step explanation:

600/3 = 200

Answer:

200 days

Step-by-step explanation:

Simple: You divide the cost of the guitar by the amount he gets paid per day. Hope this helps :)

Answer:

median = 62.5, average = 66.25

Step-by-step explanation:

50, 90 , 62 and 63

median = 50 , 62, 63, 90

62 + 63 / 2

125/2

median = 62.5

average = 50 + 90 + 62 + 63 /4

=265/4

average = 66.25

Answer:

5  

Step-by-step explanation:

Answer:

A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

Step-by-step explanation:

(a/sin(A)) = (b/sin(B)) = (c/sin(C))

we are given

(34/sin(46)) = (27/sin(B))

34sin(B) = 26sin(46)

34sin(B) = 18.702834809

sin(B) = 0.550083377

note use inverse sin function to find angle B

B = 33.372733167 approx 33.4 degrees then

C = 180 - (46 + 33.4) = 100.6

Then, (b/sin(B)) = (c/sin(C))

27/0.550083377 = c/0.982935349

0.550083377 * c = 27 * 0.982935349

0.550083377 * c = 26.539254427

c = 48.245876056 approx 48.2 .

Lastly, you get: A=46 degrees, B=33.4 degrees, C=100.6 degrees

a=34, b=27, c=48.2

Step-by-step explanation:

[tex] - 5 + 8 > - (4 + 2) \\ 3 > - 6 \\it \: is \: true[/tex]

Answer:

yes

Step-by-step explanation:

Answer:

_______________________________

A is wrong because radians really refers to the arc with respect to the angle. The opposite is true with A.

D is wrong because the arc is actually bigger than the radius given 1.5 radians.

E is wrong because the area of the whole circle is defined as 2π radians, 1.5 rad × 1.5 = 2.25 rad is (405/π)° and 2π radians is 360° (2π × 180 / π)°.

F is wrong because the circumference of a circle is 2πr.

Answer: what you need

Step-by-step explanation:

Answer:

.00001

1*10^-5

Answer:

x < 5/4

Step-by-step explanation:

divide by 16 on both sides

x < 20/16 = 5/4

Answer:

C

Step-by-step explanation:

Instead of how much she should've had left it should've asked how much did she use.

Answer:

to me it is at least $3000

Answer:

The percentage score is 38.52%

Step-by-step explanation:

Conversion of a proportion to a percentage:

To convert from a proportion to a percentage, we multiply by 100%, that is, the decimal point is moved two positions to the right, and the percentage sign is placed in the number.

In this question:

Proportion .3852

0.3852*100% = 38.52%

The percentage score is 38.52%

Answer:

The number 80 should go in the green box

Step-by-step explanation:

To solve this equation you will need to use the pythagorean theorem. Which is a^2 + b^2 = c^2. Also you will need to know where the legs and hypotenuse of the triangle are. The hypotenuse is the longest side of the triangle. So that would be the side marked 12. Then the other two sides are legs.

To solve for x you need to input your known numbers into the pythagorean theorem and solve. To know where the numbers go, a and b of the equation are the legs of the triangle and c is the hypotenuse. I solved the equation for you in the photo I inserted.

Hope that helped you!

Answer:

Step-by-step explanation:

the real answer is m=12:))

Answer:

The numbers are 6 and 2

6 squared = 36

2 squared = 4

So 36-4 = 32

And 36 x 2 = 72 + 4 = 76

Answer: A confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Step-by-step explanation:

Confidence interval for mean: Mean ± Margin of error

Given: The  online store found the mean wholesale cost of one shipment of vases was ĉ = 54 dollars, with a margin of error of 5  dollars.

A confidence interval for the mean cost (in dollars) for one shipment of vases

[tex]=(54-5, 54+5)\\\\=(49,59)[/tex]

Hence,  a confidence interval for the mean cost (in dollars) for one shipment of vases = (49,59)

Answer:

[tex]\frac{1}{8}[/tex] cup

Step-by-step explanation:

[tex]y=\frac{7}{8} -\frac{1}{4}-\frac{1}{2}[/tex]

[tex]y=\frac{7}{8}-\frac{2}{8}-\frac{4}{8}[/tex]

[tex]y=\frac{7}{8}-\frac{6}{8}[/tex]

[tex]y=\frac{1}{8}[/tex]

Answer:

1150.35

Step-by-step explanation:

1. 1143.36.

2. Withdrawal

3. Deposit

4.C

5.2185.07

The probability that someone who is able to unlock the phone who is not the owner will be 5.8%. Then the correct option is D.

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

Tim works for a cell phone company and is testing their new biometric security feature.

He conducted a test in which 4,000 attempts were made to unlock the phone. Of the attempts to unlock the phone, 25% were made by someone other than the phone's owner.

The results of the test are shown in the table.

                             Unlocked               Did Not Unlock               Total

Owner                     2418                            582                           3000

Not the Owner        232                             768                            1000

Total                       2650                            1350                          4000

Then the probability that someone who is able to unlock the phone using the biometric security feature is not the owner will be

P = 232 / 4000

P = 0.058

The probability in percentage will be

P = 0.058 x 100

P = 5.8%

Then the correct option is D.

More about the probability link is given below.

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Answer:

8.8%

Step-by-step explanation:

I did the test.

Answer:

Equation: [tex]f'"(x) = -\frac{1}{x-5}-7[/tex]

Asymptotes: [tex](x,y) = (5,-7)[/tex]

Step-by-step explanation:

Given

Let the reciprocal function be:

[tex]f(x) = \frac{1}{x}[/tex]

First, it was reflected across the x-axis.

The rule is: (x,-y)

So, we have:

[tex]f'(x) = -\frac{1}{x}[/tex]

Next, translated 5 units right.

The rule is: (x,y)=>(x-5,y)

So:

[tex]f"(x)= -\frac{1}{x-5}[/tex]

Lastly, translated 7 units down.

The rule is: (x,y) => (x,y-7)

So:

[tex]f'"(x) = -\frac{1}{x-5}-7[/tex]

To get the vertical asymptote, we simply equate the denominator to 0.

i.e.

[tex]x - 5 = 0[/tex]

[tex]x = 5[/tex]

To get the horizontal asymptote, we simply equate y to the constant.

i.e.

[tex]y = -7[/tex]

[tex](x,y) = (5,-7)[/tex]

Answer:

154.521

Step-by-step explanation:

Have a good day!

Answer:

154.521

Step-by-step explanation: