Answer:
The number is -2
Step-by-step explanation:
Let the number = x
Given that:
Five times the result of adding one to a certain number, is equal to four times the number, plus three.
The equation will be:
5(x+1) = 4x +3
Simplifying
5x + 5 = 4x +3
Taking terms with x on left side and others on right side
5x - 4x = 3 - 5 (sign of transferred terms will be changed)
x = -2
Proof :
Condition 1:
- Add one = -2 +1 = -1
- Multiply 5 = -5
Condition 2:
- 4 times of number = 4 (-2) = -8
- Add 3 = -8 +3 = -5
Hence both conditions have same answer.
I hope it will help you!
Answer:
$513.50
Step-by-step explanation:
Francois earns $475 plus 5.5% or 0.055 of whatever sales he makes. If he sells $700 then he makes 0.055(700) = $38.50 in commission.
$475 + $38.50 = $513.50
Let the first number of the five we are looking for equal n.
Because the numbers are consecutive, the next four can be expressed as (n+1), (n+2), (n+3) and (n+4).
Our series of 5 numbers is therefore n,(n+1),(n+2),(n+3),(n+4).
We are told the sum of the squares of the first 3 is equal to the sum of the squares of the last 2 therefore:
n² + (n+1)² + (n+2)² = (n+3)² + (n+4)²
expand all the brackets to give
n² + n² + 2n + 1 + n² + 4n + 4 = n² + 6n + 9 + n² + 8n + 16
3n²+6n+5 = 2n²+14n+25
n²-8n-20=0
factorising this gives us
(n+2)(n-10) = 0 so the solutions are n=10 and n=-2
That means that n,(n+1),(n+2),(n+3),(n+4) could be [-2, -1, 0, 1 and 2] or [10, 11, 12, 13 and 14].
Since the question asks for whole numbers, and negative numbers are not classed as whole numbers, the numbers we want must be 10, 11, 12, 13 and 14.
You can check this on a calculator by doing 10² + 11² + 12² (=365) and 13² + 14² (=365).
Step-by-step explanation:
Qual resultado Mauro incomtrou
the probability of making a Type I error is equal to the significance level of power. To increase the probability of a Type I error, increase the significance level. Changing the sample size has no effect on the probability of a Type I error.
The electricity of a take a look at can be expanded in a number of methods, for example increasing the pattern length, reducing the standard errors, increasing the difference between the pattern statistic and the hypothesized parameter, or growing the alpha degree.
The chance of creating a kind I mistakes is α, that's the extent of importance you put for your hypothesis check. An α of 0.05 indicates which you are inclined to accept a five% chance which you are incorrect whilst you reject the null hypothesis. To lower this risk, you have to use a decrease cost for α
Learn more about power here: brainly.com/question/1634438
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