0.088
Step-by-step explanation:
The total number of balls in the urn is;
8 + 5 = 12
Because the pink balls are 8, then the probability of picking a pink ball from the urn is;
8/12
To get the probability that all 6 balls drawn from the urn are pink, we will use the AND probability rule of the mutually exclusive events which means we’ll multiply the probabilities of each of the six pink balls;
8/12 * 8/12 * 8/12 * 8/12 * 8/12 * 8/12
= 0.088
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Given that the total number of students that sent messages = 150 students
a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.
Hence, the equation is
b) Solving for x
Therefore, x = 15.
c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students
The total number of students that sent messages = 150students
The formula for probability is,
Hence,
Therefore, the probability that a randomly chosen student uses their cell phone to send text messages is 3/5.
Which factors can be multiplied together to make the trinomial 5x2 + 8x – 4? Check all that apply.
(x + 1)
(2x + 1)
(x + 2)
(5x + 1)
<span>(5x – 2)
Solution :
By multiplying (5x - 2) and (x + 2), the given trinomial will be obtain as follow.
</span>(5x - 2) * (x + 2) = (5x * x) + (5x * 2) - (2 * x) - (2 * 2)
= <span>5x^2 + 10x - 2x - 4
= </span>5x^2 + 8x - 4
Answer:
1 . -9 = 0
2 . x = 0
3 . 0 = 0
4 .x = -27
5 . x = -4
Step-by-step explanation:
Answer:
OPTION A: 
, where 
.
Step-by-step explanation:
Given: 
Taking 
common outside in the denominator, we get:
will get cancelled on the numerator and denominator, we get:
we know that the denominator can not be zero.
That means, 1 + 8x 
0.
So, the answer is: 
, where 
.
