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azamat
2 years ago
14

A patrol officer used radar to note the speeds of cars, in miles per hour, as

Mathematics
1 answer:
Verizon [17]2 years ago
5 0

Answer: 61 miles per hour.

Step-by-step explanation:

The median is the number that's placed in the middle when the given numbers are either arranged in the ascending it the descending order.

In this case we are already given the speed of the cars as 65, 66, 63, 56, 56 50, 85, 61, 73, 81. We will therefore arrange them in ascending order and this will be:

50, 56, 56, 61, 63, 65, 66, 73, 81, 85.

To change the median speed of

the cars to 63 miles per hour, the 6th number when arranged in ascending order has to be 63. Therefore, in thus case, we will need a speed lessee than 63 miles pee hour. Therefore, option D is the answer.

When we re-arrange with the new speed included. This will be:

50, 56, 56, 61, 63, 63, 65, 66, 73, 81, 85.

Therefore, we can see that the median is 63.

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22 less than the quotient of an unknown number and 35 is -25.
Agata [3.3K]
-22+(x/35)=-25
add 22 to both sides
x/35=-3
multiply both sides by 35 to cleaf raction
x=-105

number was -105
6 0
3 years ago
Can I get help on this please
Alekssandra [29.7K]
Hello!

I've attached the diagram.

For this problem, since you have a right triangle, you can use the Pythagorean Theorem to fine the length of the ladder (the hypotenuse of the triangle).

Pythagorean Theorem (where c is the hypotenuse):
a² + b² = c²

The triangle's leg lengths are 8 and 6; substitute into the theorem:
8² + 6² = c²

Simplify:
64 + 36 = c²
100 = c²
10 = c

Answer:
The length of the ladder is 10 m.

4 0
3 years ago
Read 2 more answers
Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field, to keep the sheep safe. Since Dr. Jones is a math
alex41 [277]

Answer:\frac{8}{3}\times \sqrt{\frac{2}{5}}

Step-by-step explanation:

Given two upward facing parabolas  with equations

y=6x^2 & y=x^2+2

The two intersect at

6x^2=x^2+2

5x^2=2

x^2=\frac{2}{5}

x=\pm \sqrt{\frac{2}{5}}

area  enclosed by them is given by

A=\int_{-\sqrt{\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left [ \left ( x^2+2\right )-\left ( 6x^2\right ) \right ]dx

A=\int_{\sqrt{-\frac{2}{5}}}^{\sqrt{\frac{2}{5}}}\left ( 2-5x^2\right )dx

A=4\left [ \sqrt{\frac{2}{5}} \right ]-\frac{5}{3}\left [ \left ( \frac{2}{5}\right )^\frac{3}{2}-\left ( -\frac{2}{5}\right )^\frac{3}{2} \right ]

A=\frac{8}{3}\times \sqrt{\frac{2}{5}}

7 0
3 years ago
In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in
Minchanka [31]

Answer:

Step-by-step explanation:

7 0
2 years ago
.
Maksim231197 [3]

Answer:

D. x=1

Step-by-step explanation:

Image can be rewritten as 3x + 6 = 9.

Solve for x.

3x +6 = 9

Isolate x by subtracting 6 from both sides.

3x = 3

Get rid of the 3 by dividing by 3 on both sides.

x = 1

Hope this helped.

8 0
2 years ago
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