Answer:
Choice C is correct
Step-by-step explanation:
We use the law of exponents in this problem;
Therefore,
Since the base is the same, that is 9, we simply add the exponents 1/2;
one-half plus one-half is equal to unity and any number raised to one is simply equal to the given number;
3x-8=-3+2x
x-8=-3
x=5
the number is 5 hope this helped (:
A sequence of 7 numbers <u>starts with 8</u>. The <u>second number</u> in the sequence <u>is unknown</u> and <u>may be positive or negative</u>. The <u>third</u> through seventh numbers are the <u>sum of</u> the <u>previous two numbers</u> in the sequence, and the <u>seventh number is 0</u>. What is the sum of the 7 numbers?
number 1 of 7: 8
number 2 of 7: ? can be positive (+) or negative (-)
i think the second number is -3
number 3 of 7: the sum of the first two numbers (8+?)
if the second number is -3 then the 3rd number in the sequence is 5
number 4 of 7: 3
number 5 of 7: 2
number 6 of 7: 1
number 7 of 7: 0
sum of all 7 numbers: 8
btw please dont take my word for it this is probably wrong i think my thinking was right but i made a mistake somewhere. there wasnt enough data for me to wrap my mind around. i hope you find the answer soon.
Answer:
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
Step-by-step explanation:
For each television, there are only two possible outcomes. Either they have defective speakers, or they do not. The probabilities of each television having defective speakers are independent from each other. So we use the binomial probability distribution to solve this problem.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
In which is the number of different combinations of x objects from a set of n elements, given by the following formula.
And p is the probability of X happening.
In this problem we have that:
Find an approximate probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
This is
So
49.34% probability that 5 to 8 televisions (inclusive) in the shipment have defective speakers
X = 7/2 or 3 1/2
2x + 5 =12
-5 -5
——————
2x = 7
—- —
2 2