Answer:
$64
Step-by-step explanation:
After using a 25% discount coupon, they paid 48 for the video game.
It means, <em>which number, decreased by 25%, would give us 48?</em>
<em />
First, 25% to decimal is:
25/100 = 0.25
Now, if we let the original price be "x", we can say:
x decreased by 0.25 of x would give us 48
Translating this to algebraic equation gives us:
x - 0.25x = 48
Now, we solve this:
![x - 0.25x = 48\\0.75x=48\\x=\frac{48}{0.75}\\x=64](https://tex.z-dn.net/?f=x%20-%200.25x%20%3D%2048%5C%5C0.75x%3D48%5C%5Cx%3D%5Cfrac%7B48%7D%7B0.75%7D%5C%5Cx%3D64)
If they paid full price, the video game would cost $64
Given that Allison’s dog is 6 pounds more than 5 times the weight of Gail’s dog, it is important to know the following:
1. The word "more" indicates an Addition.
2. The word "times" indicates Multiplication.
Knowing this, you can write the following expression to represent "5 times the weight of Gail’s dog", where "g" is the weight of Gail’s dog:
![5g](https://tex.z-dn.net/?f=5g)
Therefore, you can determine that the weight of Allison's dog (in pounds) is the sum of 6 pounds and 5 times the weight of Gail's dog (in pounds). Then, you can represent this with this algebraic expression:
![5g+6](https://tex.z-dn.net/?f=5g%2B6)
Hence, the answer is:
Answer:
a. N=25
b. X[bar]= 60.52
c. Y[bar]= 106.72
d. SSx= 115.24
e. ∑X*∑Y = 4036684
f. SSxy= 202020.3296
g. √(SSx*SSy)= 449.46
Step-by-step explanation:
Hello!
Using the attached data you need to calculate some statistics.
a) N
The sample size is listed under the first column "subject" You can see that 25 subjects qhere studied so N=25.
b.
The mean of set X is equal to X[bar]= ∑X/n= 1513/25= 60.52
∑X is listed in the second table.
c.
The mean of ser Y is Y[bar]= ∑Y/n= 2668/25= 106.72
∑Y is listed in the second table.
d.
Sum of Squares of set X SSx= ∑X²-[(∑X)²/n]= 91682-[(1513)²/25]= 115.24
e.
∑X*∑Y =1513*2668= 4036684
f.
SSxy= (∑X²-[(∑X)²/n]) * (∑Y²-[(∑Y)²/n])= (91682-[(1513)²/25]) * (286482*[(2668)²/25])= 202020.3296
g.
√(SSx*SSy)= √(115.24*1753)= 449.46
I hope you have a SUPER day!
A basket contains 12 apples and some other fruit
40% of the total fruit are apples...so 40% of the total fruit is 12..
0.40x = 12....with x being the total fruit in the basket <== ur equation
x = 12 / 0.40
x = 30....and u have 30 pieces of fruit in the basket
Answer:
f(x)=x/7
Step-by-step explanation:
f(x)=7x
y=7x
x=7y (switch y and x for inverse)
x=7y (isolate y)
x/7=y
The inverse of f(x)=7x is f(x)=x/7