Answer:
The relationship between price and the number of empanadas is PROPORTIONAL.
1 Empanada = 50 cent = $0.5
Constant of PROPORTIONALITY = ½
Step-by-step explanation:
From the given table:
2 Empanadas = $1
6 Empanadas = $3
We see that, as the number of Empanadas increases, the amount in Dollars also increases. Such that:
Let E = Empanadas
$ = dollar
~ = sign of PROPORTIONALITY.
Therefore:
$ ~ E
$ = KE
Where K = constant of proportionality.
When E = 4; $ = 2
$2 = K4
K= 2/4
K = ½
$ = ½E (Binding formula)
This applies for all the number of Empanadas bought.
Answer:
Where
and
And the z score is given by:

And since z = 0.75 we can replace like this:

And if we solve for x we got:

Step-by-step explanation:
Previous concepts
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".
Solution to the problem
Let X the random variable that represent the ACT scores of a population, and for this case we know the distribution for X is given by:
Where
and
And the z score is given by:

And since z = 0.75 we can replace like this:

And if we solve for x we got:

F(x) = x-3 and g(x) = x+11
f(x) *g(x) = (x-3)(x+11) = x^2 +11x -3x -33 = x^2 +8x -33
so choice D. is right
hope helped
Answer:
26.50
Step-by-step explanation:
First we need to calculate the sales tax
25 * 6%
Changing to decimal from
25 * .06
1.50
Then we add the tax to the cost of the shirt
25+1.50
26.50
We owe 26.50
Answer: 23 + 9 = 32
Step-by-step explanation: