Answer:
The amount invested at 6% is $12,857.14
The amount invested at 13% is $17,142.86
Step-by-step explanation:
Let
x ----> the amount invested at 6%
30,000-x -----> the amount invested at 13%
we know that
The interest earned by the amount invested at 6% plus the interest earned by the amount at 13% must be equal to the interest earned by the total amount of $30,000 at 10%
Remember that
so
The linear equation that represent this situation is
solve for x
therefore
The amount invested at 6% is $12,857.14
The amount invested at 13% is $17,142.86
Answer:
It will cost the school $60
Step-by-step explanation:
In order to find this, set up a proportion.
$18/15 dozen = $x/50 dozen
Now cross multiply to solve
50 * 18 = 15 * x
900 = 15x
60 = x
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
<h3>How to evaluate the probability of a random variable getting at least some fixed value?</h3>
Suppose the random variable in consideration be X, and it is discrete.
Then, the probability of X attaining at least 'a' is written as:
It is evaluated as:
The probability distribution of X is:
x f(x) = P(X = x)
6 0.02
7 0.11
8 0.61
9 0.15
10 0.09
Worker working at least 8 hours means X attaining at least 8 as its values.
Thus, probability of a worker chosen at random working 8 hours is
P(X ≥ 8) = P(X = 8) + P(X = 9) +P(X = 10) = 0.85 ≈ 0.84 approx.
By the way, this probability distribution seems incorrect because sum of probabilities doesn't equal to 1.
The probability that a worker chosen at random works at least 8 hours is Option C: 0.84 approx.
Learn more about probability distributions here:
brainly.com/question/14882721
#2 9/10÷ 1/2=4/10 and number 3 is 2/4
Answer: Given f ( x ) = 2x + 1 and g ( x ) = x2
+ 2x – 1 find ( f + g ) ( x ) and
( f + g ) ( 2 )
Solution
Step 1. Find ( f + g ) ( x )
Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;
( f + g ) ( x ) = ( 2x + 1 ) + (x2
+ 2x – 1 )
= 2x + 1 + x2
+ 2x – 1
= x
2
+ 4x
Step-by-step explanation:
