Answer: The factorization of

The factors of
are 28 and 1+2t+w.
Step-by-step explanation:
The given expression : 
To factorize it, we need to find the common factor.
As 56 can be written as 2 x 28.
So, the above expression would become

Now, taking 28 as common from all the terms, we will get

Thus, the factorization of

And the factors of
are 28 and 1+2t+w.
Yes. x=3 and y =9 are the solutions.
Because if you change x=3 and y =9 ,you will have
3+2* 9 =21
3+18 =21
21 =21 (true)
Answer:
0.1x+0.15(50-x)= 50*0.12
Step-by-step explanation:
50 ml of 12% solution has 50*0.12 ml of alcohol
x ml of 10% solution has x*0.1 ml of alcohol
(50-x) ml of 15% solution has (50-x)*0.15 ml of alcohol
The equation to solve is:
Answer:
a.
μ = $24.57
μ ≠ $24.57
b. 0.12
c. we fail to reject the null hypothesis since p ≈0.12 > 0.05
d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96
Step-by-step explanation:
a)
μ = $24.57
μ ≠ $24.57
b)
To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis
z-score can be calculated as follows:
where
- X= $23.89
- M is the mean value under null hypothesis ( $24.57)
- s is the sample standard deviation ($2.40)
- N is the sample size (30)
Putting the numbers in the formula we get
≈ −1,5518
The corresponding p-value is <em>two tailed </em>and ≈ 0.12
c)
since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>
d)
Critical value for the 0.05 significance level in two tailed test is :
c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>