Solve the following system using either linear combination or substitution. Round any answers to the hundredths place. Show all
1 answer:
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Answer:
The 90% confidence interval of the population proportion is (0.43, 0.56).
Step-by-step explanation:
The (1 - <em>α</em>)% confidence interval for population proportion <em>p</em> is:
The information provided is:
<em>X</em> = 74
<em>n</em> = 150
Confidence level = 90%
Compute the value of sample proportion as follows:
Compute the critical value of <em>z</em> for 90% confidence level as follows:
*Use a <em>z</em>-table.
Compute the 90% confidence interval of the population proportion as follows:
Thus, the 90% confidence interval of the population proportion is (0.43, 0.56).
Answer:
The value of mHLK will be "(204)°".
Step-by-step explanation:
The given values are:
mJI = (3x+2)°
mHLK = (15x-36)°
and,
m∠HML = (8x-1)°
then,
mHLK = ?
Now,
By using chord-chord formula of angle, we get
On putting the values in the above formula, we get
⇒
On applying cross-multiplication, we get
⇒
⇒
On subtracting "18x" from both sides, we get
⇒
⇒
On adding "2" both sides, we get
⇒
⇒
⇒
⇒
On putting the value of "x" in mHLK = (15x-36)°, we get
⇒ (15x-36)° = (15×16-36)°
⇒ = (240-36)°
⇒ = (204)°
So that mHLK = (204)°