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denis23 [38]
2 years ago
7

A set of bed prices are normally distributed with a mean of 1300 dollars and a standard deviation of 300 dollars. A wooden bed h

as a price of 1399 dollars. What proportion of bed prices are higher than the price of the wooden bed?
Mathematics
1 answer:
koban [17]2 years ago
5 0

Answer:

0.3707

Step-by-step explanation:

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Triangle SQT is isosceles. The measure of angle STQ is 48°. Triangle S Q T is cut by perpendicular bisector T R. The lengths of
igomit [66]

Answer:

m\angle STR=24^o

Step-by-step explanation:

we know that

m\angle STQ=m\angle STR+m\angle RTQ ---> by addition angle postulate

we have

m\angle STQ=48^o ----> given problem

m\angle STR=m\angle RTQ ----> given problem

substitute in the expression above

48^o=2m\angle STR

Divide by 2 both sides

m\angle STR=24^o

3 0
2 years ago
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Lightning strikes earth 1000 times in 10 sec. how many times does lightning strike per sec?
atroni [7]
Simple division:

The amount/number of seconds=amount per second.

1000/10=100

Lightning strikes earth 100 times per second.
6 0
2 years ago
Tyler drew a figure that has two pairs of equal sides, four angles formed by perpendicular lines, and two pairs of parallel side
nexus9112 [7]

Answer:

A shape with two pairs of parallel lines, perpendicular lines, and two pairs of equal sides can be best described as a rectangle.

8 0
2 years ago
Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when
bija089 [108]

Answer:

f(x) = k(x - \frac{3}{2})

Step-by-step explanation:

Line q will be graphed on the same grid. The only solution to the system of linear equations formed by lines n and q occurs when x = \frac{3}{2} and y = 0.

Now, as x = \frac{3}{2}  is a solution of the equation, y = f(x) = 0, so, (x - \frac{3}{2}) will be a factor of the linear function y = f(x).

Therefore, we can write the possible equation for the line q will be

f(x) = k(x - \frac{3}{2}). (Where k is any constant} (Answer)

8 0
2 years ago
If the farmer has 234 feet of fencing, what are the dimensions of the region which enclose the maximal area?
marissa [1.9K]

Answer: 58 ft × 58 ft  

Step-by-step explanation:

Let the length of the region = x feet

And, the width of the region = y feet

Since, the perimeter of the region = 234 feet ( Given )

⇒ 2(x+y) = 234

⇒ x+y = 117

⇒ y = 117 - x

Again the area of the region, A = xy

⇒ A(x) = x(117-x)

⇒ A(x) = 117x - x^2

By differentiating the above equation with respect to x,

⇒ A'(x) = 117 - 2x  

For maxima or minima,

A'(x) = 0

\implies 117 - 2x = 0

\implies -2x = -117

\implies x = 58.5

Again differentiating equation A'(x) with respect to x,

We get, A''(x) = -2

Hence, For x = 58.5 A''(x) = negative

⇒ For x = 58.5 feet the area A(x) is maximum,

⇒ The length of the region having maximum area = x = 58.5 feet

And, the width of the region having maximum area = y = 117-x= 117 - 58.5=58.5 feet,

⇒ The dimension of the region having the maximum area = 58.5 ft × 58.5 ft

8 0
2 years ago
Read 2 more answers
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