Answer:
a) 0.3277
b) 0.0128
Step-by-step explanation:
We are given the following information in the question:
N(2750, 560).
Mean, μ = 2750
Standard Deviation, σ = 560
We are given that the distribution of distribution of birth weights is a bell shaped distribution that is a normal distribution.
Formula:

a) P (less than 2500 grams)
P(x < 2500)

Calculation the value from standard normal z table, we have,

b) P ((less than 1500 grams)
P(x < 1500)

Calculation the value from standard normal z table, we have,

Answer:
723 students participated in the event
Explanations:
The total number of students in Hanley's school = 1000
0.723 of the students participated in an event
Number of students that participated in the event = 0.723 x 1000
Number of students that participated in the event = 723
Answer:
x = 5
Step-by-step explanation:
Answer:
69.81 sq. m. (rounded to 2 decimal places)
Step-by-step explanation:
The sector of a circle is "part" or "portion" of a circle. The formula for the area of a sector is:

Where
is the central angle
r is the radius
Given the figure, the arc is given as 80 degrees, but not the central angle of the shaded sector. But from geometry we know that the central angle and the intercepted arc have the same measure. So we can say:

Also, the radius of the circle shown is 10 meters, so
r = 10
Now, we substitute in formula and find our answer:

Thus,
The area of the shaded sector is 69.81 sq. meters.
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8