Answer:
The 95% confidence interval for population mean is (18.19, 23.81).
Step-by-step explanation:
The confidence interval for population mean using the Student's <em>t</em>-distribution is:
Given:
The critical value of <em>t</em> for <em>α </em>= 0.05 and degrees of freedom, (<em>n</em> - 1) = 19 is:
Compute the 95% confidence interval for population mean as follows:
Thus, the 95% confidence interval for population mean is (18.19, 23.81).
Answer:15
Total choices=meat choices×cheese choices
=(5/1)×(3/1)=5×3=15
Part 1)
we know that
the property of cyclic quadrilaterals for which opposite angles are supplementary
then
m∠A°+43°=180°------------> m∠A=180°-43°=137°
the answer is m∠A=137°
Part 2) <span>Quadrilateral ABCD is inscribed in a circle. What is the measure of angle A?
we know that
</span>the property of cyclic quadrilaterals<span> for which opposite angles are supplementary
then:</span>
<span>m∠A+m∠C=<span>180<span>∘
(2x+9)+(3x+1)=180---------------> 5x+10=180
x=(180-10)/5=34
</span></span></span>m∠A=2x+9-------------> 2*34+9=77°
<span>
the answer is </span>m∠A=77°<span>
</span>