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erastovalidia [21]
3 years ago
7

An engineer scale model shows a building that is 3 inches tall. If the scale is 1 inch = 600 feet, how tall is the actual buildi

ng in feet ?
Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

1800ft tall

Step-by-step explanation:

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Write the standard form of the equation of the line that passes through (3,2) and is parallel to the line whose equation is y=2x
Agata [3.3K]
Your answer is y=2x-4
3 0
3 years ago
A worker in the automobile industry works an average of 43.7 hours per week. Assume the distribution is normal with a standard d
OLga [1]

Answer:

The solution is:

(1) 0.0104

(2) 0.0008

Step-by-step explanation:

Given:

Mean,

\mu = 43.7

Standard deviation,

\sigma = 1.6

(1)

⇒ P(X

                      =P(z< - 2.3125)

                      =P(z

                      =0.0104

(2)

As we know,

n = 15

⇒ P(\bar X > 45)= P(\frac{\bar x - \mu}{\frac{\sigma}{\sqrt{n} } } >\frac{45-43.7}{\frac{1.6}{\sqrt{15} } } )

                      =P(z> 3.15)

                      =1-P(z

                      =1-0.9992

                      =0.0008

7 0
3 years ago
A bus travels at 10 km in 30 minutes. What is the average speed of the bus?
zhannawk [14.2K]

Answer:

20 kph

Step-by-step explanation:

Step 1:

10 : 30         Ratio

Step 2:

60 mins in hour        

Step 3:

10 : 30 = x : 60        Equation

Step 4:

30x = 600       Multiply

Step 5:

x = 600 ÷ 30         Divide

Answer:

x = 20

Hope This Helps :)

8 0
3 years ago
Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati
Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)


\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9


\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill

7 0
3 years ago
What is the answer for 9(4y - 7)
expeople1 [14]

Answer:

9(4y - 7) = 36y

^^multiple the bracket by the number outside the bracket

6 0
3 years ago
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