The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This distribution has a mean of 47 and a standard deviation of 7. Using the empirical rule, what is the approximate percentage of 1-mile long roadways with potholes numbering between 40 and 68?

Answer:

B

Step-by-step explanation:

Answer:

14.4

Step-by-step explanation:

1.8 added 8 times = 1.8 * 8

1.8 * 8

use distributive property

1.8 = 1 + 0.8

1.8 * 8 = (1+0.8) * 8

          = 1*8 + 0.8*8

anything multiplied by 1 equals itself

1*8 + 0.8*8 = 8 + 0.8 * 8

0.8 = 8/10

0.8 * 8 = (8/10) * 8

           = 64/10

            = 6.4

8 + 0.8 * 8 = 8 + 6.4 = 14.4 as our answer

Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

Answer:

by the definition of congruence.

Step-by-step explanation:

for plato

Step-by-step explanation:

in the first

x =2y

actually I don't think that I can get the last two relations

Answer:

60%

Step-by-step explanation:

216/360 = 0.6

0.6 *100 = 60

60%

The percent of the marbles did Elizabeth give away is 60%.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Given that, Elizabeth buys a package of 360 marbles and she gives away 216 of the marbles.

Now, the percentage is 216/360 ×100

= 0.6×100

= 60%

Therefore, the percent of the marbles Elizabeth give away is 60%.

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Answer:

Segment ED has the same length as EA

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

In the given diagram, a line perpendicular to line AB passes through point C.

A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.

The length of two tangents drawn from an external point to a circle is equal.

From the given figure we can see there are three circles, two large circles and one small circle.

Line segment EA is tangent to a small circle.

The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

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Answer:

82041000

Step-by-step explanation:

50,000,000 + 32,000,000 + 41,000

Answer:

The height of the larger window is 15.36 units.

Step-by-step explanation:

Let the height of the larger window be h.

The width and height of smaller window are 5 and 8 respectively.

The width and height of smaller window are 9.6 and h respectively.

It is given that both windows are similar. The corresponding sides of similar figures are proportional.

\frac{5}{9.6}=\frac{8}{h}

9.6

5

=

h

8

5h=8\times 9.65h=8×9.6

5h=76.85h=76.8

Divide both sides by 5.

h=\frac{76.8}{5}=15.36h=

5

76.8

=15.36

Therefore the height of the larger window is 15.36 units.

Answer:

18f+35g

Step-by-step explanation:

Negative six times negative three will be equivalent to positive f, as negative negative five times negative seven equals thirty-five.

Answer:

223454353.000000000000000000

Step-by-step explanation:

A refrigeration system of 60 kW capacity at an evaporator temperature of – 40°C and a condenser temperature of 20°C is needed in a food storage locker. The refrigerant R134a is sub-cooled by 10°C before entering the expansion valve. The vapour is 0.98 dry as it leaves the evaporator coil. The compression in the compressor is of adiabatic type.

Answer:

540 last week

52X540.=$28,080 a year

Step-by-step explanation:

The graph of each of the inequalities are created using a graphing tool as follows;

Graph 1; x ≥ (y + 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 2; x ≤ (y + 3)² + 1

The domain = -∞ ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 3; x ≥ (y - 3)² + 1

The domain = 1 ≤ x ≤ ∞

The range = -∞ < y < ∞

Graph 4; x ≤ (y - 3)² + 1

The domain = -∞ ≤ x ≤ ∞

The range = -∞ < y < ∞

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Answer:

c or x ≥ (y-3)^2+1

Step-by-step explanation:

Answer:

answer -909 photo with solution is attached

Answer:

A

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Leah uses 1/4 cup of chocolate chips for 2/3 cups of batter, so if Leah uses 3/4 cup of chocolate chips, she should use 2 cups of batter.

Answer:

  SAS similarity

Step-by-step explanation:

You have two side ratios and the angle between the sides with those ratios. The appropriate similarity theorem is SAS.

Answer:

Yes.

Step-by-step explanation:

I had a problem just like this and you are correct.

Answer:

16

Step-by-step explanation:

1) Plug x=1 into equation

f(x) = -2(1)²+4(1)+6

f(x) = -2²+4+6

f(x) = 4+4+6

y = 14

(1,14)

2) Plug in x=2 into equation

f(x) = -2(2)²+4(2)+6

f(x) = -4²+8+6

f(x) = 16+8+6

y = 30

(2,30)

3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])

[tex]\frac{30-14}{2-1}[/tex]

[tex]\frac{16}{1}[/tex]

16

Tn = a + d * (n-1)

T8 = -12 + 2*7

= -12 +14

= 2

Answer:

4

Step-by-step explanation:

This is an infinite geometric series. This has a sum of  

Where

a is the first term, and

r is the common ratio (one term divided by the previous term)

Let's figure out the first 2 terms by plugging in n = 1 first and then n = 2 for the series.

Check the picture below.

Answer:

a and d i think

Step-by-step explanation:

Answer:

What number like?

Answer: The answer is C.

The question I assume you are talking about is in the image.

Answer:

A

Step-by-step explanation:

Set denominator to zero and solve for x.

x^2 - x - 12 = 0

Factor.

(x - 4)(x + 3) = 0

Solve each factor for x.

x - 4 = 0

x = 4

x + 3 = 0

x = -3

Answer:

The domain is ALL REAL NUMBERS except for x = 4 and x = -3.

Answer:

Step-by-step explanation:

See attachment.

Answer:

the answer is

[tex]the \: answer \: is \: b[/tex]