Complete Question
The complete question is shown on the first uploaded image
Answer:
The standard deviation is
Step-by-step explanation:
From the question we are told that
The data is
x 1 2 3 4
P(X = x) 0.2 0.2 0.2 0.4
Generally the standard deviation is mathematically represented as

Here 
=> 



So
Answer:
measure the volume of cherry syrup solution with Tartar Emetic = 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
Step-by-step explanation:
Given:
Mass of Sodium citrate = 5 g
Mass of Tartar Emetic = 0.015 g = 15 mg
Volume of Cherry syrup ad 120 mL = 120 mL
sensitivity = 4 mg
Error = 5%
Now,
The smallest weight that can be measured =
or
The smallest weight that can be measured =
= 80 mg
Now,
80 mg is dissolved in 120 mL of Cherry syrup according to prescription
( Thus,
1 mg is dissolved in
of Cherry syrup according to prescription )
so to measure 15 mg of Tartar Emetic, measure the volume of cherry syrup
= 
= 22.5 mL
Hence, the correct quantity of tartar emetic to fill the prescription will be obtained
The area of triangle
=5*7/2
=35/2
17.5sq.units//
The area of parallelogram
=15*8
=120sq.units//
Answer:
Negative Start Fraction 2 Over 3 End Fraction x minus 11

Step-by-step explanation:
we have

Convert to slope intercept form

Solve for y
That means -----> Isolate the variable y
Distribute in the right side


subtract 7 both sides


Convert to function notation
Let
f(x)=y

therefore
The linear function is
Negative Start Fraction 2 Over 3 End Fraction x minus 11
Answer:
Option D
Step-by-step explanation:
(8x^2-9y^2-4x) +(x^2-3y^2-7x)
8x^2+x^2-9y^2-3y^2-4x-7x
9x^2-12y^2-11x