X=4
explanation:
-reduce the fraction
-make the numerators equal
-divide both sides by 5
Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN =
°
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO =
°
For the second question, things become somewhat more complex.
We know that ∠GHD =
° and ∠AGH
°.
You correctly calculated that
°.
∠AGE is equal to both
° and
°. Either equation will work just fine.
∠AGE =
°
So m∠AGE = 160°
It’s 6 i’m pretty sure, your welcome have a good day
Answer:
1) Increase the sample size
2) Decrease the confidence level
Step-by-step explanation:
The 95% confidence interval built for a sample size of 1100 adult Americans on how much they worked in previous week is:
42.7 to 44.5
We have to provide 2 recommendations on how to decrease the margin of Error. Margin of error is calculated as:

Here,
is the critical z-value which depends on the confidence level. Higher the confidence level, higher will be the value of critical z and vice versa.
is the population standard deviation, which will be a constant term and n is the sample size. Since n is in the denominator, increasing the value of n will decrease the value of Margin of Error.
Therefore, the 2 recommendations to decrease the Margin of error for the given case are:
- Increase the sample size and make it more than 1100
- Decrease the confidence level and make it lesser than 95%.