Answer:
9.6
Step-by-step explanation:
20%of 8=8*20/100 =1.6 and the new price of the cashews is1. 6+8=9.6
The standard form of the quadratic function f(x) = -3x^2 + 6x - 2 is f(x) = -3x^2 + 6x - 2
<h3>How to represent the
quadratic function in standard form?</h3>
The quadratic function is given as
f(x) = -3x^2 + 6x - 2
The standard form of a quadratic function is represented as:
f(x) = ax^2 + bx + c
When both equations are compared, we can see that the function f(x) = -3x^2 + 6x - 2 is already in standard form
Where
a = -3
b = 6
c = -2
Hence, the standard form of the quadratic function f(x) = -3x^2 + 6x - 2 is f(x) = -3x^2 + 6x - 2
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Answer:
No, there is not sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 434 gram setting.
This means that the null hypothesis is:

It is believed that the machine is underfilling the bags.
This means that the alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
434 is tested at the null hypothesis:
This means that 
A 9 bag sample had a mean of 431 grams with a variance of 144.
This means that 
Value of the test-statistic:



P-value of the test:
The pvalue of the test is the pvalue of z = -0.75, which is 0.2266
0.2266 > 0.01, which means that there is not sufficient evidence to support the claim that the bags are underfilled.
Answer:
m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
Step-by-step explanation:
We are given that The cost for the raw materials of marble countertops, C s can be represented by the function c(a) = 4.25a --------1
a = area of the countertops.
we are also given that The retail markup, m, can be represented by the function m(c) = 1.15c.
We are supposed to find function can be used to find the marked-up price of a marble countertop depending on the area?
Marked up price function : m(c) = 1.15c.
Substitute the value of c form 1
Marked up price function of a marble countertop depending on the area:
m(c(a))=1.15(4.25 a)
m(c(a))= 4.8875 a
So, Option 1 is true
Hence m(c(a)) = 4.8875a can be used to find the marked-up price of a marble countertop depending on the area
y = mx + b
m: slope
b: y-intercept
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3x + 9y = 18
-3x -3x
9y = -3x + 18
/9 /9
y = -3/9x + 2 OR y = -1/3 + 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
m = -3/9 OR -1/3
b = 2
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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