Let's make x the price of the bench.
And the garden table x + 91.
The equation is: x + x + 91 = 1041.
Solve:
2x = 1041-91
x = 950.
The bench costs 950 dollars.
The margin of error is 1.41.
The margin of error is calculated using the formula
![z*\frac{\sigma}{\sqrt{n}}}](https://tex.z-dn.net/?f=z%2A%5Cfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%7D)
where z is the z-score associated with the confidence level, σ is the standard deviation, and n is the sample size.
For a confidence level of 95%, we find the z-score by first converting the percent to a decimal and subtracting it from 1:
1 - 0.95 = 0.05
Divide that by 2:
0.05/2 = 0.025
This is the area in each tail.
Subtract this from 1 again, since we want the area between the tails:
1 - 0.025 = 0.975
Looking this up in the z-table (http://www.z-table.com) we see that the z-score is 1.96.
Using our information, we have:
Answer:
2x^2 + 3x + 2
Step-by-step explanation:
Like terms must have exactly the same variables and exponents on the variables.
2x^2 is not a like term to any other term, so it cannot be combined.
3x is not a like term to any other term, so it cannot be combined.
3 and -1 have no variable, so they are like terms and can be combined.
2x^2 + 3 + 3x - 1 =
= 2x^2 + 3x + 3 - 1
= 2x^2 + 3x + 2
Answer:
Step-by-step explanation:
As 5 ⋅ 5 ⋅ 7 ⋅ 7 ⋅ 7 = 5² ⋅ 7³ = 8575
Exponential notation: 5² ⋅ 7³
Decimal Notation: 8575
i) 3 ⋅ 8 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 8 = 3 . 7³ . 8² = 65856
Exponential notation: 3 . 7³ . 8²
Decimal Notation: 65856
ii) 7 ⋅ 7 ⋅ 7 ⋅ 7 ⋅ 6 ⋅ 3 = 3 . 6 . 7⁴ = 43218
Exponential notation: 3 . 6 . 7⁴
Decimal Notation: 43218