Answer:
0.62
Step-by-step explanation:
There are a total of 10 marbles in the bag.
P(blue and not blue) = 5/10 × 5/10 = 25/100
P(red and not red) = 2/10 × 8/10 = 16/100
P(green and not green) = 3/10 × 7/10 = 21/100
P = 25/100 + 16/100 + 21/100
P = 62/100
P = 0.62
Alternatively, you can calculate it this way:
P(both blue) = (5/10)² = 25/100
P(both red) = (2/10)² = 4/100
P(both green) = (3/10)² = 9/100
P = 1 − (25/100 + 4/10 + 9/100)
P = 1 − 38/100
P = 62/100
P = 0.62
<h2><u>
Solution</u>
:</h2>
<em>To find the zero,</em>
<em>x</em> + 1 - 4 = 0
<em>x</em> = 4 - 1
<em>x</em> = 3
3 is the <u>root</u> of <em>(x + 1) - 4</em>.
Answer:
a.
b.
Step-by-step explanation:
Remember that for any curve 
The tangent vector is given by
And the normal vector is given by
a.
For this case, using the chain rule
And also remember that
Therefore
Similarly, using the quotient rule and the chain rule
And also
Therefore
Notice that
1. 
2. 
b.
Simlarly
and
Therefore
Then
and also
And since
Answer:
$168
Step-by-step explanation:
The formula we'll use for this is the simple interest formula, or:
I=Prt
Where:
P is the principal amount, $2000.00.
r is the interest rate, 4.2% per year, or in decimal form, 4.2/100=0.042.
t is the time involved, 2....year(s) time periods.
So, t is 2....year time periods.
To find the simple interest, we multiply 2000 × 0.042 × 2 to get that:
The interest is: $168.00
