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
Anuta_ua [19.1K]
3 years ago
7

A message center receives calls from 6 p.m. until 6 a.m. Typically, 50% of the calls come in between 6 p.m. and 9 p.m.; 25% of t

he calls come in between 9 p.m. and midnight; 20% of the calls come in between midnight and 3 a.m.; and 5% of the calls come in between 3 a.m. and 6 a.m.
What is the probability that a call will come in between 6 p.m. and midnight?

Question 5 options:

25%


50%


55%


75%
Mathematics
1 answer:
Leto [7]3 years ago
7 0
Midnight to 3 a.m.: 20%
3 a.m. to 6 a.m. 5%

Midnight to 6 a.m. = 20% + 5% = 25%
You might be interested in
An open box of maximum volume is to be made from a square piece of cardboard, 24 inches on each side, by cutting equal squares f
Lisa [10]
A.) Let the length of the sides of the bottom of the box be y and z, and let the length of the sides of the square cut-outs be x, then
V = xyz . . . (1)
2x + y = 24 => y = 24 - 2x . . . (2)
2x + z = 24 => z = 24 - 2x . . . (3)

Putting (2) and (3) into (1), gives:
V = x(24 - 2x)(24 - 2x) = x(24 - 2x)^2 = x(576 - 96x + 4x^2)
V = 4x^3 - 96x^2 + 576x

b.) For maximum volume, dV/dx = 0
dV/dx = 12x^2 - 192x + 576 = 0
x^2 - 16x + 48 = 0
(x - 4)(x - 12) = 0
x = 4 or x = 12
but x = 12 is unrearistice
Therefore, x = 4.
y = z = 24 - 2(4) = 24 - 8 = 16

Therefore, the dimensions of the box that enclose the largest possible volume is 16 inches by 16 inches by 4 inches.

c.) Maximum volume = 16 x 16 x 4 = 1024 cubic inches.
3 0
4 years ago
I need helppp soo like yeah
Verizon [17]

Answer:

x = 30°

Step-by-step explanation:

Since 2 of the sides are congruent then the triangle is isosceles and the 2 base angles are congruent, both 75°

The sum of the 3 angles in a triangle = 180°, then

x = 180° - (75 + 75)° = 180° - 150° = 30°

5 0
3 years ago
The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes:
finlep [7]

Answer:

lo siento pero soy principiante

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
URGENT GEOMETRY question ​
Tcecarenko [31]
Your answer is B... 1008
6 0
3 years ago
​1.​A parking lot has the shape of a rectangle. A scale drawing for the parking lot measures 6 cm by 20 cm. ​​The scale is 1 cm
Alex73 [517]
L*w=6*20
6*15= 90m
20*15=300m
l*w= 90*300=27000m <-- area
3 0
4 years ago
Other questions:
  • Taylor is shopping for golf balls at the sporting goods store. Which option is the lowest price?
    5·1 answer
  • Find the solution set
    10·1 answer
  • Tracy manages an amusement park. She records the average amount of time in minutes that people wait in line to ride the roller c
    13·1 answer
  • I don’t know what she did wrong I can’t find anything
    10·1 answer
  • What is the volume of the square pyramid with a base of 20mm and height 23mm
    7·1 answer
  • Tyrese's sister is 41 inches tall. A ride at the amusement park states that riders must be at least 52 inches tall to ride. Whic
    15·2 answers
  • PLEASE HELP I NEED ANSWERS Linear inequality is y&lt;_x +56
    11·1 answer
  • HOW DO YOU DO THIS!!!!!!!!!!!
    9·1 answer
  • The number of parking spots, y, in the local town x years from now can be modeled by the equation below. How
    5·1 answer
  • Find the mean, median, mode, and range of the data set.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!