Step-by-step explanation:
100 = ( 8 + 2x) ( 10 + 2x )
100 = 80 + 36x + 4x ^2 ( binomial product )
80 + 36x + 4x^2 = 100
80 + 36x + 4×^2 - 100 = 100 - 100
4x^2 + 36x - 20 = 0
I am not able to write the next steps but you can use symbolab to find out the answer and for the clear understanding
I am reay sorry
use symbolab app
Answer:
Aman's age = 20, Arun's age = 28
Step-by-step explanation:
Let
= Aman's age
Let
= Arun's age
- - - -
(Sum of their age is 56 after 4 years in the future)


(Ages are in the ratio 5:7)

Now, we can use substitution to find for Arun's age:



∴ Arun is 
To find for Aman's age, we can use substitution:



∴ Aman is 20
Hope this helps :)
Answer:
The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Step-by-step explanation:
We have to test the hypothesis to prove the claim that the work team can build room additions quicker than the time allotted for by the contract.
The null hypothesis is that the real time used is equal to the contract time. The alternative hypothesis is that the real time is less thant the allotted for by the contract.

The significance level, as a storng evidence is needed, is α=0.01.
The estimated standard deviation is:

As the standard deviation is estimated, we use the t-statistic with (n-1)=15 degrees of freedom.
For a significance level of 0.01, right-tailed test, the critical value of t is t=2.603.
Then, we calculate the t-value for this sample:

As the t-statistic lies in the rejection region, the null hypothesis is rejected. The claim that the current work teams can build room additions quicker than the time allotted for by the contract has strong statistical evidence.
Answer:
1142.975
Step-by-step explanation:
All you really have to do is divide 45719(Money made in a year) divided by 40 (hours per week). Or you can divide then multiply 1142.97 x 40 and you get 45719. Hope I could Help :D