Answer:
Probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Step-by-step explanation:
We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.
<em>Let X = number of viewers for the American Idol television show</em>
So, X ~ N(
)
Now, the z score probability distribution is given by;
Z = 
~ N(0,1)
where, 
= population mean = 26 million
= standard deviation = 8 million
So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X 
30)
P(X < 37) = P( < 
) = P(Z < 1.38) = 0.91621
P(X 30) = P( 
) = P(Z 0.50) = 0.69146
<em>Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248</em>
Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
Answer:
y = -1/2x + 17/2
Explanation:
y = 2x + 1 is in slope intercept form
in the equation y = mx+b, m is the slope, and in the equation m =2
the slope of a perpendicular line is the negative reciprocal of the other slope.
slope of perpendicular= -1/m = -1/2
y = -1/2x + b
now find b by substituting in (1,8) into the partial equation
8 = -1/2 + b
b = 8+ 1/2
b = 17/2
please give thanks :) hope this helps
Answer:
5x^4 -7x^3-5x^2+5x+1
Step-by-step explanation:
Hey!
You would just add all the numbers up, and by making sure that you combine all like terms. In this case it is just 1-0 = 1 and so the solution would be the same as your question but with a 1 and you would get rid of the -0.
Hope this helps!
Answer:
23.5(to the nearest tenth)
Step-by-step explanation:
pythagoras theorem states
c^2= a^2+ b^2
a= 23
b=5
c^2= 529+25
c^2= 554
c= square root of 554
c = 23.5 (approximately)
this took me a lot of time
giving me brainliest will make me happy
