Answer:
Step-by-step explanation:
I'm assuming that you meant: x^(-11)*x^2. Here there's a common base: x.
Then this expression becomes x^(-11*2)*x^2. We need only combine (add up) the exponents of x: x^(-11*2)*x^2 = x^(-11 + 2) = x^(-9). Use of parentheses as shown is important here.
Note that x^(-9) is the same as
1
------------
x^9
s +h = 1070 ( total number of downloads)
Rewrite as s =1070 - h
2.9s + 4.4h = 4393 ( total download size)
Substitute:
2.9(1070-h) + 4.4h = 4393
Simplify:
3103 - 2.9h + 4.4h = 4393
Combine like terms:
3103 + 1.5h = 4393
Subtract 3103 from each side:
1.5h = 1290
Divide both sides by 1.5:
h = 1290 / 1.5
h = 860
Replace h with 860 in first equation to solve for s:
s + 860 = 1070
s = 1070 - 860
s = 210
There were 210 standard downloads and 860 high quality downloads
Answer:
Using calculator: 0.0415
Using Z-score Table: 0.0418
Step-by-step explanation:
There are two ways you can solve this problem.
1. Use the normal distribution function on a calculator.
Entered values:
Lower Limit: 126
Upper Limit: 999999999999999... (To encompass all the data)
Standard Deviation: 15
Mean: 100
2. Find the Z score and look up probabilities on table.
Formula for Z score:

Z = 1.7333
This means that the value 126 is 1.733 standard deviations away from the mean. We can look this value up on the Z table to find its corresponding probability.
This will show us the probability of the random sampling being equal to or lower than 126.
P = 0.9582
So to find the probability of it being above, we simply just calculate the inverse as all probabilities on the curve = 1.
1-0.9582 = 0.0418
NOTE: Values found from the table will usually be a bit different from if you find it from a calculator, the one you need will depend on the method you use in class.
Hope this helped!
Answer:
3x³ + x² + x + 1
= 3x³ - 3x² + 4x² - 4x + 5x - 5 + 6
= 3x²(x - 1) + 4x(x - 1) + 5(x - 1) + 6
= (x - 1)(3x² + 4x + 5) + 6
but 3x³ + x² + x + 1 = (x - 1).Q(x) + R
=> Q(x) = 3x² + 4x + 5
R = 6
The price of each ball in a baseball bag would be 1.665 dollars
It is given that,
The cost price of a bag of baseball bag = 9.99 dollars
The number of balls in each bag = 6 baseballs
Now, we need to find the cost of one baseball if it were to sold individually
To find the cost of one quantity out of a bunch we divide the bunch price with the number of quantities in the bunch
Here, in this case
The cost price of each ball = 
= 
= 1.665 dollars
Hence, the price of each ball in a baseball bag would be 1.665 dollars
To learn more about, cost price here,
brainly.com/question/11027396
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