Answer: Third Option

Step-by-step explanation:
We have the following exponential equation

We must solve the equation for the variable x
To clear the variable x apply the
function on both sides of the equation

Simplifying we get the following:

To simplify the expression
we apply the base change property

This means that:

Then:



Answer:
In your equation 4x+5y=-9, you've got to but your equation in slope intercept form which is y=mx+b.
First we need to get the y by itself.
Subtract 4x from each side to get:
5y=-4x-9
Next we want to divide both sides by 5.
y=-4/5x-9/5
Your slope is m which in our case -4/5.
Then our y-intercept is b or -9/5.
Your answer would then be C. slope=-4/5 and y-intercept=-9/5.
Hope this helps ;)
Answer:
Step-by-step explanation:
Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.
However;
Let use X to represent the time required for the delivery.
Then X~N(3.8 ,0.8)
i.e
E(x) = 3.8
s.d(x) = 0.8
NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)
= P(Z > 0.25)
= 1-P(Z < 0.25)
=1 - Φ (0.25)
= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )
= 0.4013
Thus; the probability a single delivery would take more than 4 hours is 0.4013
What is the z value corresponding to the interval boundary?
The z value is calculated as:


z = 0.25
Answer:
<h3>

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Option B is the correct option.
Step-by-step explanation:

Apply cross product property
⇒
Distribute 5 through the parentheses
⇒
Multiply the numbers
⇒
Move 5 to right hand side and change it's sign
⇒
Add the numbers
⇒
Divide both sides of the equation by 5
⇒
⇒
Hope I helped!
Best regards!!