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
LenaWriter [7]
2 years ago
11

A two-digit number is written at random. The probability that the number will be odd is . The probability that the number will b

e larger than 75 is . The probability that the number will be a multiple of 5 is . The probability that the number is even and less than 40 is .
Mathematics
1 answer:
Makovka662 [10]2 years ago
6 0
Step-by-step explanation:
GIVEN: Two digit number means we will have to choose from numbers 0-9 for the second digit and 1-9 for the first digit. (since zero can't be in the tens place)
Formula: We will use m x n. That is, m is the number of elements we can use for the first digit and n will be the number of elements we can use for the second digit.
Sample Space: To get the probability, we must find the sample space or all the outcomes.
m - 9 elements (1-9)
m - 9 elements (1-9)n - 10 elements (0-9)
m x n = 9x10 =90
90 is our sample space.
A. An odd number
Conditions: For an odd number, the second number will determine whether or not it is an odd number. For the first digit, we can use 1-9.
Elements:
m - 9 elements (1-9)
m - 9 elements (1-9)n - 5 elements (1,3,5,7,9)
m x n=9x5=45
SOLVE (probability)
Probability= possible outcomes/sample space
P=45/90
P=1/2
B. Larger than 75.
Conditions: The first digit could be equal to 7 or greater. But n will only be greater than 5 if and only if m=7 and n could be any number if m>7.
Elements 1:
m - 1 element (7)
m - 1 element (7)n - 4 elements (6,7,8,9)
m - 1 element (7)n - 4 elements (6,7,8,9)m x n=1x4=4
Elements 2:
m - 2 elements (8,9)
m - 2 elements (8,9)n - 10 elements (0,1,2,3,4,5,6,7,8,9,)
m - 2 elements (8,9)n - 10 elements (0,1,2,3,4,5,6,7,8,9,)mxn=2x10=20
TOTAL: 4+20=24
SOLVE (PROBABILITY)
Probability= possible outcomes/sample space
P=24/90
P=4/15
C. multiple of 5
Condition: the second digit must be either 0 or 5 and the first digit could be any digit.
Elements:
m - 9 elements (1-9)
m - 9 elements (1-9)n - 2 elements (0,5)
m x n =9x2=18
SOLVE (PROBABILITY)
P=18/90
P=1/5
D. An even number smaller than 40
Condition: The first digit could be equal to 4 but the second digit must be even (excluding zero). Another situation is the first digit would be greater than 4 and the second digit would be any even number.
Elements 1:
m - 1 element (4)
n - 4 elements (2,4,6,8)
m x n = 1x4=4
Elements 2:
m - 5 elements (5,6,7,8,9)
n - 5 elements (0,2,4,6,8)
mxn=5x5=25
TOTAL: 25+4=29
SOLVE: Probability
P=29/90
You might be interested in
What is the approximate volume of the cone? Use 3.14 for π.
telo118 [61]

Answer:

About 131.95 (you may have to round up)

Step-by-step explanation:

Volume of a cone = pi(r^2)(h/3)

= pi(3^2)(14/3)

= pi(9)(4 & 4/5)

= pi(43.2)

If your teacher wants an exact number, you have to multiply 43.2 y whatever your teacher says to shorten pi to, usually 3.14. The about 131.95 is from 43.2*3.14 I think.

8 0
2 years ago
Juanita will work for 4 7/8 hours at her job on Saturday. if she also volunteers for 2 1/3 hours at the hospital, how many hours
zheka24 [161]

Answer:

I think it's D...maybe

Step-by-step explanation:

8 0
3 years ago
Determine whether this statement is true or false. if two lines have the same slope, their equations describe the same line.
maksim [4K]

Answer:

False

Step-by-step explanation:

When you say "slope", Im guessing your referring to the gradient (the steepness of the line).

If two lines have the same gradient their equations won't usually describe the same line because their 'y intercepts' will be different (the point in which the line crosses the y axis)

8 0
3 years ago
Use the figure at the right to complete each proportion.
vekshin1

Answer:

33) RQ

34) PQ

35) NO

36) MO

Step-by-step explanation:

4 0
3 years ago
The letters of the alphabet are written on cards and places in a brown paper bag. What is the probability or drawing a vowel, re
ehidna [41]

Answer:

0.1%

Step-by-step explanation:

:D

3 0
2 years ago
Other questions:
  • Please help me with this question
    15·1 answer
  • we would multiply the divisor and dividend of 1.44 / 1.2 by what number to make the divisor a whole number
    11·1 answer
  • What value should go in the empty box to complete the calculation for finding the product of 73.458 × 0.39? the empty box in the
    13·1 answer
  • Greg was adding two numbers on a number line. He started at +4 and then he added -6. He wrote that his number was -2. Is Gregs a
    5·2 answers
  • Simplify: <br><img src="https://tex.z-dn.net/?f=%20%20%5Csqrt%7B%20-%209%7D%20%20%5Ctimes%20%20%5Csqrt%7B%20-%2016%7D%20" id="Te
    10·1 answer
  • What is the surface area of the triangular prism?
    15·1 answer
  • I need help solving this. Help!!!!!
    9·1 answer
  • The quotient of a number and 6 decreased by 10 is equal to 2.​
    5·2 answers
  • LAST QUESTION! 12 Points! Will mark brainliest! Links will be ignored and deleted.
    6·2 answers
  • A and B are friends and their ages differ by 4 years, A being the elder. A's father D, is twice as old as A, and B is twice as o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!