Nationwide, it is estimated that 40% of service stations have gas tanks that leak to some extent. A new program in California is designed to lessen the prevalence of these leaks. We want to assess the effectiveness of the program by seeing if the percentage of service stations whose tanks leak has decreased. To do this, we randomly sample 27 service stations in California and determine whether there is any evidence of leakage. In our sample, only 7 of the stations exhibit any leakage. Is there evidence that the new program is effective

Answer:

David's height is 57 inches.

Step-by-step explanation:

x/11=55

x=605

x/10=54.8

x=548

605-548=57

Answer:

57 inches

Step-by-step explanation:

undo the problem

55 x 11 = 605

54.4 x 10 = 548

605 - 548 = 57

hope I helped :)

Answer:

Step-by-step explanation:

Answer: 21.5cm³

Step-by-step explanation: This is your answer there is no way it is incorrect

Answer:

7

Step-by-step explanation:

The square root of 49 is 7

Answer:

a²+2ab+b² =(a+b)²

is your answer

Answer:

c^2=a^2+b^2

c is hypothesis b is abase h is a

15^2=x^2 +12^2

225-144 =x^2

81=x^2

x=9

Step-by-step explanation:

hope this help you more..

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Answer:

1/2

Step-by-step explanation:

2/3 x 5/6 = 10/18

10/18 divided by 10/9  —————- > 10/ 18 times 9/10=90/180

(You switch up 10/9 into a multiplication equation)

90/180=1/2

Therefore,  2/3 x 5/6 divided by 10/9= 1/2

Answer:

OC=48

RK=100

Step-by-step explanation:

We can use proportions to find both OC and RK.

[tex]\frac{OK}{KY} =\frac{OC}{RY}[/tex]

[tex]\frac{12}{24} =\frac{OC}{96}[/tex]

[tex]24OC=1152[/tex]

[tex]OC=48[/tex]

[tex]\frac{KC}{RK} =\frac{OK}{KY}[/tex]

[tex]\frac{50}{RK} =\frac{12}{24}[/tex]

[tex]12RK=1200[/tex]

[tex]RK=100[/tex]

Answer:

RK = 100

OC = 48

Step-by-step explanation:

Scale factor = 12/24 = 1/2

1/2 RK = 50

RK = 2* 50

RK = 100

1/2 RY = OC

1/2 * 96 = OC

48 = OC

OC = 48

Answer:

Shirt : Pant = 2 : 3 ,  & Pant : Shirt = 3 : 2 , Linear model can be used.

Step-by-step explanation:

Ratio of ' Number of shirts sold : Number of items sold' = 2 : 5

Let the common ratio be = x

Then, number of shirts sold = 2x. And, number of total items sold = 5x.

So, number of pants sold = Number of items sold - number of shirts sold = 5x - 2x = 3x

So, shirt to pant ratio = 2x / 3x = 2 : 3 .And,  pant to shirt ratio = 3 : 2

This model can be shown in linear equation, as all are linear powered.

Answer:

213,987.7 ft2  

Step-by-step ex planation:

Step-by-step explanation:

I think the choose 3 (g , h ,f )

Answer:

56.73 ft

Step-by-step explanation:

Given:

51° (angle)

73ft (hypotenuse)

With the given information use sin to determine the height of the kite.

sin51° = x/73

solve for x (height)

x= 73*sin51°

x= 56.73ft

Answer:

The number sentence which states that x is at most 50 is x < 50.

Step-by-step explanation:

Answer:

Hello! answer: 105.5

Hope that helps!

75 + 18 + 12.5 = 105.5

Answer:

x^2+6x+9

Step-by-step explanation:

expand the expression

Answer:

4

7

4 or 2.5

Step-by-step explanation:

x+2x=3x

12/3=4=x

13+1=14

14/2=7=y

13+/-3=16/10

16/4=4

10/4= 2.5

this one depends wether 3 is negative or positive

Answer:

biosphere

Step-by-step explanation:

[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]

Biosphere.

Answer:

Step-by-step explanation:

Answer:

D for the first one and D for the second one.

Step-by-step explanation:

Answer:

1.3845  

Step-by-step explanation:

i used this formula in the screenshot

and you can also try using calculator websites

Step-by-step explanation:

Okay, the first step is to rewrite this equation in "vertex form." You can search that up but it's basically just (h/k).

y = ( x − 1) 2 + 3

Now, we are going to use the vertex form, "y = a (x - h)2 + k, to get the values of a, h, and k.

By using the form we get 1 for the value a, 1 for the value h, and 3 for the value k.

1 = a

1 = h

3 = k

Becuse the value of a is positive, the parabola opens up!  (A parabola is the U shaped line in a graph, so that opens up.)

Now, we find the vertex (h,k)

which is (1,3)

Now we find the p from the vertex to the focus.  (vertext the top, focus one of the points.)

Follow this formula to find the distance from the vertex to a focus by using this formula

1/4a.

Now we just gonna substitue 1 for a, since we know that 1 equals a above ^

1/4 * 1

Solving that, we got a nice little 1/4.

Next we find the focus

"Find the focus.

The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

(h,k+p)

Substitute the known values of h, p, and k into the formula and simplify.

(1,134)

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x=1

Find the directrix.

y=114

Use the properties of the parabola to analyze and graph the parabola.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

Select a few x values, and plug them into the equation to find the corresponding y values. The x values should be selected around the vertex.

xy−1704132437

Graph the parabola using its properties and the selected points.

Direction: Opens Up

Vertex: (1,3)

Focus: (1,134)

Axis of Symmetry: x=1

Directrix: y=114

xy−17041324"

(Sorry if this is long! But I hope you understand it better now! Thanks for the points!)

Answer:

Solution given:

let the two bags of pickle & chips and be x and y.

according to the question

x+2y=$3.25

again

3x+4y=$7.25 is a second equation.

Answer: 3 and 6

5 and 4

Step-by-step explanation:

3 and 4 are congruent to 5 and 6

Answer:

1. a - 5 years

2. a × 3 =3a years

3. a + 4 years

4. 2|3×a = 2a|3 years

5. 2×a+3 = 2a+3 years

Answer:

Solution given:

x(w – 1) + (W – 1)

distribute it:

xw-x+w-1

xw+w-x-1

take common from each term

w(x+1)-1(x+1)

take common again

(x+1)(w-1)

the factored form of x(w – 1) + (W – 1) is (x+1)(w-1).

Answer:

0.615

Step-by-step explanation:

Just round up.