Answer:
(a) 1/2
(b) 9/10
Step-by-step explanation:
Probability is given by number of possible outcomes ÷ number of total outcomes
(a) Number of possible outcomes = 5 questions, number of total outcomes = 10 questions
Probability (I answer all 5 problems correctly) = 5/10 = 1/2
(b) Probability (I answer at least 4 of the problems correctly) means I either answer 4 of the problems or all 5 problems correctly = 4/10 + 5/10 = 9/10
Answer:
Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
I am joyous to assist you anytime.
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros
The two conditional statements that can be made are:
1) If an integer is divisible by 100 its last two digits are zeros.
This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros.
2) If the last two digits of an integer are zeros, it is divisible by 100.
This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.
Therefore, the two conditional statements that are formed are both true.
So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
Answer:
Step-by-step explanation:
A fraction can be found be taking the current amount over the total amount:
Since Darlene has only typed 23 pages out of 59, her fraction is 23 over 59. Fractions must always be in simplest form, which means that both the numerator and denominator can no longer be divided by the same factor. Since the numbers 23 and 59 are both prime and have no other factors other than 1 and themselves, the fraction 23/59 is in simplest form.
