1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.

You might be interested in
What is the answer to, one half of 9?
GREYUIT [131]
Answer:

4.5

Step-by-step explanation:

One half of 9 = 9/2 = 4.5
7 0
2 years ago
The top and bottom margins of a poster are each 15 cm and the side margins are each 10 cm. If the area of printed material on th
12345 [234]

Answer:

the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

Step-by-step explanation:

From the given question.

Let p be the length of the of the printed material

Let q be the width of the of the printed material

Therefore pq = 2400 cm ²

q = \dfrac{2400 \ cm^2}{p}

To find the dimensions of the poster; we have:

the length of the poster to be p+30 and the width to be \dfrac{2400 \ cm^2}{p} + 20

The area of the printed material can now be:  A = (p+30)(\dfrac{2400 }{p} + 20)

=2400 +20 p +\dfrac{72000}{p}+600

Let differentiate with respect to p; we have

\dfrac{dA}{dp}= 20 - \dfrac{72000}{p^3}

Also;

\dfrac{d^2A}{dp^2}= \dfrac{144000}{p^3}

For the smallest area \dfrac{dA}{dp }=0

20 - \dfrac{72000}{p^2}=0

p^2 = \dfrac{72000}{20}

p² = 3600

p =√3600

p = 60

Since p = 60 ; replace p = 60 in the expression  q = \dfrac{2400 \ cm^2}{p}   to solve for q;

q = \dfrac{2400 \ cm^2}{p}

q = \dfrac{2400 \ cm^2}{60}

q = 40

Thus; the printed material has the length of 60 cm and the width of 40cm

the length of the poster = p+30 = 60 +30 = 90 cm

the width of the poster = \dfrac{2400 \ cm^2}{p} + 20 = \dfrac{2400 \ cm^2}{60} + 20  = 40 + 20 = 60

Hence; the dimension of the poster = 90 cm length and 60 cm  width i.e 90 cm by 60 cm.

4 0
3 years ago
SOMEONE PLEASE HELP ME ASAP PLEASE!!!​
Alex17521 [72]

Answer:

BC=10

Step-by-step explanation:

BD-BC=14-4=10

4 0
3 years ago
Read 2 more answers
Factor −1/2−1/2 out of −1/2x+6.
pochemuha
That's unusual:  repetition:  -1/2 - 1/2.

Did you perhaps mean "Factor -1/2 out of (-1/2)x + 6?

Let's do that.  Let's rewrite 6 as (-1/2)(-12).

Then (-1/2)x + 6       (-1/2)x -(1/2)(-12)
         --------------  =  ------------------------  = x - 1/2
             -1/2                     -1/2

Hope that's what you wanted.  If not, please try to apply a similar approach to solving this particular problem.

3 0
3 years ago
A researcher conducts an independent-measures study examining the effectiveness of a group exercise program at an assisted livin
Veronika [31]

Answer:

Check the explanation

Step-by-step explanation:

Kindly check the attached images below to see the step by step explanation to the question above.

4 0
3 years ago
Other questions:
  • Which of the following inequalities matches the graph?
    8·1 answer
  • 5 square root of (n+4)^3
    10·1 answer
  • What construction does the image below demonstrate?
    7·2 answers
  • 1. Is down below and is the first photo.
    8·1 answer
  • Endpoint
    15·1 answer
  • Can someone help me with a, b, c, and d I would really appreciate it
    5·1 answer
  • For a circle of radius 6 feet, find the arc length of a central angle of 12
    15·1 answer
  • A pentagon with exterior angles is shown. The angles are 57 degrees, 108 degrees, 51 degrees, 60 degrees, and (x + 12) degrees.
    11·1 answer
  • A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/10 for blue, 1/20 f
    13·1 answer
  • Bill is 15 years older than Paul. Paul is 7 years older than half Milo's age. The sum of all three ages is 85. How old is Bill?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!