Answer:
4/9 x 3/8 = 1/6
Step-by-step explanation:
Answer:
65
62
Step-by-step explanation:
In inscribed quadrilaterals, opposite angles are supplementary.
First problem:
x + 148 = 180
x = 32
2x + 1 = 65
Second problem:
x + 20 + 3x = 180
x = 40
180 − (2x + 38) = 62
<span>The Open Systems Interconnection Reference Model is an abstract description for layered communications and computer network protocol design. In its most basic form, it divides network architecture into seven layers which, from top to bottom, are the Application, Presentation, Session, Transport, Network, Data Link, and Physical Layers. A layer is a collection of conceptually similar functions that provide services to the layer above it and receives service from the layer below it.</span>
Answer:
The proportion of exam scores that are lower than Irina's score is 0.9938
Step-by-step explanation:
<u>Data</u>
- standard deviation (sd): 6 points
- value of interest (x): 95 points
z-score is computed as follows:
z = (x - mean)/sd
z = (95 - 80)/6 = 2.5
We want to find:
P(z < 2.5)
From the table attached:
P(z < 2.5) = 0.9938
Answer: the amount of the initial investment is $5004.63
Step-by-step explanation:
The formula for continuously compounded interest is
A = P x e (r x t)
Where
A represents the future value of the investment after t years.
P represents the present value or initial amount invested
r represents the interest rate
t represents the time in years for which the investment was made.
From the information given,
A = $7156.62
r = 3.26% = 3.26/100 = 0.0326
t = 11 years
Therefore
7156.62 = P x e(0.0326 x 11)
7156.62 = P x e(0.3586)
7156.62 = 1.43P
P = 7156.62/ 1.43
P = $5004.63
