Step-by-step explanation:
y = 16x²
you put the x values one after the other in place of x and do the calculations.
x = -4
y = 16×(-4)² = 16×16 = 256
x = -3
y = 16×(-3)² = 16×9 = 144
x = -2.5
y = 16×(-2.5)² = 16×6.25 = 100
x = -2
y = 16×(-2)² = 16×4 = 64
x = -1.5
y = 16×(-1.5)² = 16×2.25 = 36
x = -1
y = 16×(-1)² = 16×1 = 16
x = -0.5
y = 16×(-0.5)² = 16×0.25 = 4
x = 0
y = 16×0² = 16×0 = 0
x = 0.5
y = 16×0.5² = 16×0.25 = 4
x = 1
y = 16×1² = 16×1 = 16
and so on.
36, 64, 100, 144, 256
as you can see, the y values are the same for the positive and the negative values.
because squaring a negative number is the same as squaring the same positive number. that is, because (if you remember) squaring something means to multiply that something with itself. and minus multiplied by minus is plus, as plus multiplied by plus is plus.
and that creates the symmetry around the y-axis or x = 0. everything left of the y-axis is mirrored on the right side of the y-axis (and vice versa).
Answer:
Yes, there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No ;
Step-by-step explanation:
n = 1000
x = 545
Phat = x / n = 545/1000 = 0.545
H0: p ≤ 0.5
H1: μ > 0.5
The test statistic :
(phat - p0) ÷ √(p(1 - P0) / n)
Test statistic :
(0.545 - 0.5) ÷ √(0.5(0.5) / 1000)
0.045 / 0.0158113
Test statistic = 2.846
α = 0.01
Decison :
Reject H0 ; if Pvalue < α
Using the Pvalue from Test statistic (Z) calculator :
Pvalue = 0.002214
With Pvalue < α ; We reject H0 and conclude that there is convincing evidence that the majority of women age 22 to 35 who work full-time would be willing to give up some personal time for more money.
No, making generalization about all women would not be reasonable as the data employed for the research mainly focuses on a particular
To add fractions, find the lcd and then combine =13
Answer:
$27,72
Step-by-step explanation:
The information that we have its
- The cost gas its $3.60 per gallon
- Irene's car had 5.3 gallons
- Irene's car tank is 13 gallons
so now for the know, How much did Irene spend on gas?
First
The gas that its necesary for filled de tank its
13gallons-5,3gallons=7,7 gallons
The cost for 7,7 its
7,7g*3,6$/g= $27,72
121 over 121 is a whole number of 1