She will use 42 purple beads.
Explanation
We will use a proportion to solve this.
The ratio of blue to purple beads is 4:3, or 4/3.
We know she uses 56 blue beads and an unknown amount, x, of purple beads. This gives us 56/x.
Together, we have
4/3 = 56/x
Cross multiply:
4*x = 3*56
4x = 168
Divide both sides by 4:
4x/4 = 168/4
x = 42
Answer:
m= -16
Step-by-step explanation:
you would add 19 to -35 because you are trying to isolate the variable m.
True
work: f(3)=2(3)-9
f(3)=6-9
f(3)=-3
Answer: 0.0475
Step-by-step explanation:
Given : A firm’s marketing manager believes that total sales X can be modeled using a normal distribution.
Where , Population mean : 
Standard deviation : 
To find : Probability that the firm’s sales will exceed $3 million i.e. $ 3,000,000.
∵ 
Then , for x= 3,000,000
Then , the probability that the firm’s sales will exceed $3 million is given by :-
Hence, the probability that the firm’s sales will exceed $3 million = 0.0475
Answer: 289 ft.
Explanation:
You can form a right triangle with these features:
1) Base = adjacent-leg = 500 feet
2) angle between the hypotenuse and the base = 30° ( I use 30° instead of 30', because 30' does not make sense, it is a too small angle)
3) Height = opposite-leg = height of the Statue of LIberty = x
Now, use the equation for the trigonometric ratio tangent:
tan(angle) = opposite-leg / adjacent-leg
=> tan (30°) = x / 500ft
=> x = 500ft * tan(30°)
x = 288.67 ft which rounded to the nearest foot is 289 ft.
