Answer: -16
Step-by-step explanation:
f(g(x)) = 2(4(-2)) + 5
f(g(x)) = 2(-8) + 5
f(g(x)) = -16 + 5
f(g(x)) = -11
f(0) = 2(0) + 5
f(0) = 5
f(g(x)) - f(0) = -11 - 5
f(g(x)) - f(0) = -16
Answer:
There is a difference in mean hand span between male and female if you notice the difference between their averages. 2cm is quite significant
female mean = 19.6 cm and male mean = 21.6 cm
Step-by-step explanation:
a.) There is a significant difference.
take P( Z < ( 19.6 - 21.6) / 1) = P(Z < -2) = 2% probability of assuming that male and female means are the same. too low to think like that.
b.) Differ by 2cm. MAD= Mean Absolute Deviation , MAD within their own data set seem similar
C.) The variability in hand spans among male and female are very similar, since they both have the same MAD = 1.0
Like terms are those terms, which have the common variable with same powers.
The number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
<h3>What is like terms?</h3>
In the algebra or the algebraic expression the like terms are those terms, which have the common variable with same powers.
Given information-
The given expression in the problem is,

The given expression is the algebraic expression which 3 number of unknowns variables.
There is total 6 terms in the given expression. In which 5 terms consists the variables and one term is constant.
In the given expression,
- The total number of terms with variable x are 3 which are,
.
- The total number of terms with variable y is 2 which is
.
- The total number of terms with variable z is 1 which is
.
- The total number of constant terms is 1 which is 7.
Thus the number of like terms in the given expression are 3, which is
. the option 3 is the correct option.
Learn more about the like terms here;
brainly.com/question/1779134
Answer:
x = 30
Step-by-step explanation:
10% fat = 0.1x
x = the solution, what we want to find
120 grams of 20% fat = 0.2 * 120
What we want is mixture of 18%
So....
0.1x + 0.2 * 120 = 0.18 (x + 120)
Solve:
0.1x + 24 = 0.18 (x +120)
0.1x + 24 = 0.18x + 21.6
24 = 0.08x + 21.6
x = 30
Answer: 

Step-by-step explanation:
Let x represents the number of red roses and y represents the number of white roses.
Given : Javier is purchasing a bouquet of roses from a floral shop. He wants the bouquet to have at least 12 roses.
i.e. the required inequality for this statement will be :-
No. of red roses +No. of white roses ≥ 12
i.e. 
Also, Red roses cost $2.75 each and white roses cost $3.50 each and he wants to spend less than $35.
i.e. $2.75(No. of red roses)+$3.50(No. of white roses)≤ $35
i.e. 
Now, From (1) and (2) the system of inequalities represents the situation :

