Answer:
<em>In 5 years the product of their ages will be 208</em>
Step-by-step explanation:
The age of two children is 11 and 8 years.
Let's call x the number of years ahead.
We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:
(11+x)(8+x)=208
Operating:
Simplifying:
Factoring:
(x-5)(x+24)=0
Solving:
x=5, x=-24
The negative solution is not valid, thus x=5
In 5 years the product of their ages will be 208
From the given options we can say that the only one that represents the area of the sector is; A = n/360 * πr²
<h3>What is the Area of the Sector?</h3>
In circles, a sector is said to be a part of a circle made of the arc of the circle together with its two radii. This means that it is a portion of the circle formed by a portion of the circumference (arc) and radii of the circle at both endpoints of the arc.
The formula for Area of a sector is given as;
θ/360 * πr²
where;
θ is the central angle of the sector
r is radius
Now, looking at the given options we can say that the only one that represents the area of the sector is;
A = n/360 * πr²
where n is the central angle of the sector
Read more about Area of Sector at; brainly.com/question/16736105
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I believe it’s correct, but i’m not smart
Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
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.
4% rate of defects
This means that 
26 tablets
This means that 
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
Thus
Then
0.7208 = 72.08% probability that this whole shipment will be accepted.
The standard compound interest formula is
Future value after x years with an annual interest of i
=Present Value (1+i)^x [which is an exponential function]
for given present value of $360. interest=0.03 (3%) and a total of x years, above equation reduces to
Future value after x years
=360(1.03^x)
