<u>Given</u>:
Let the random variable x is normally distributed with mean
and 
We need to determine the probability of 
<u>Probability of </u>
<u>:</u>
The formula to determine the value of
is given by

Thus, we have;

Simplifying, we get;


Using the normal distribution table, the value of -2 is given by 0.0228

Thus, the value of
is 0.0228
Answer:
table and graph attached
Step-by-step explanation:
It's a simple linear equation in 'n'. There's only one number that 'n' can be
that will make the equation a true statement. That number is called the
'solution' to the equation. Here's one way to find it:
You said that <u> -7n - 4 = 24</u>
Add 4 to each side: -7n = 28
Multiply each side by -1 : 7n = -28
Divide each side by 7 : <em>n = -4</em>
Homework is the only way for most people to learn stuff.
Step-by-step explanation:
<h3>
Need to FinD :</h3>
- We have to find the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0.

Here, we're asked to find out the value of (sinθ + cosθ)/(sinθ - cosθ), when 13 cosθ - 5 = 0. In order to find the solution we're gonna use trigonometric ratios to find the value of sinθ and cosθ. Let us consider, a right angled triangle, say PQR.
Where,
- PQ = Opposite side
- QR = Adjacent side
- RP = Hypotenuse
- ∠Q = 90°
- ∠C = θ
As we know that, 13 cosθ - 5 = 0 which is stated in the question. So, it can also be written as cosθ = 5/13. As per the cosine ratio, we know that,

Since, we know that,
- cosθ = 5/13
- QR (Adjacent side) = 5
- RP (Hypotenuse) = 13
So, we will find the PQ (Opposite side) in order to estimate the value of sinθ. So, by using the Pythagoras Theorem, we will find the PQ.
Therefore,



∴ Hence, the value of PQ (Opposite side) is 12. Now, in order to determine it's value, we will use the sine ratio.

Where,
- Opposite side = 12
- Hypotenuse = 13
Therefore,

Now, we have the values of sinθ and cosθ, that are 12/13 and 5/13 respectively. Now, finally we will find out the value of the following.

- By substituting the values, we get,


∴ Hence, the required answer is 17/7.
Answer:
25 in ^2
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 ( 4.3)^2
A =58.0586
The take the fraction of the circle that is shaded
A circle is 360 degrees
155/360
155 /360 * the total area = area shaded
31/72 * 58.0586 = 24.99745278 in ^2
Rounding yields 25 in ^2