Answer:
Percentage of scores that fall between 70 and 80 = 24.34%
Step-by-step explanation:
We are given a test with a population mean of 75 and standard deviation equal to 16.
Let X = Percentage of scores
Since, X ~ N(
)
The z probability is given by;
Z = 
~ N(0,1) where, 
= 75 and 
= 16
So, P(70 < X < 80) = P(X < 80) - P(X <= 70)
P(X < 80) = P( < 
) = P(Z < 0.31) = 0.62172
P(X <= 70) = P( < 
) = P(Z < -0.31) = 1 - P(Z <= 0.31)
= 1 - 0.62172 = 0.37828
Therefore, P(70 < X < 80) = 0.62172 - 0.37828 = 0.24344 or 24.34%
Option D:
The length of LJ = 3.5
Solution:
In the triangle LJK,
LK = 9, ∠K = 23°, ∠J = 89°
To find the length of LJ:
<u>Law of sine: </u>
A, B, C are the angles of the triangle and
a, b, c are the sides of the triangle.
Here for ΔLJK,
The side opposite to angle L is <em>l</em>.
The side opposite to angle J is <em>j</em>.
The side opposite to angle K is <em>k</em>.
Take only two sides.
LJ = 3.5 (approximately)
Option D is the correct answer.
The length of LJ = 3.5.
Answer: 5/11
The total number of artists (22) = denominator
The total number of painters and sculptors (10) = numerator
It should be 10/22
Since it is not in its simplest form yet, divide both numbers by 2
Thus, 5/11 is the final answer.
Answer:
7
Step-by-step explanation:
Answer:
147
Step-by-step explanation:
f(3)=83
f(5)=377
377-83=294
5-3=2
294/2=147
To find the average rate of change, we divide the change in the output value by the change in the input value.
