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Answer:
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
Step-by-step explanation:
given,
sides of parallelogram is 20 cm and 30 cm
Angle between them is 80°. opposite angle of parallelogram are same the opposite angle is same.
other angle = 360° - 80° - 80° + 2 x = 200
x = 100°
Using cosine law
c² = a² + b² - 2ab cos γ
In ΔDAB
BD² = 30² + 20 ² - 2 × 30 × 20 cos 80°
BD = 33.039 cm
now in ΔADC
c² = a² + b² - 2ab cos γ
AC² = 20² + 30² - 2 × 30 × 20 cos 100°
AC = 38.84 cm
length of diagonals are BD = 33.039 cm and AC = 38.84 cm
Answer:
Correct option:
We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie.
Step-by-step explanation:
The general formula for the (1 - <em>α</em>)% confidence interval for population<em> </em>mean is:
Here:
= sample mean
CV = critical value
= standard error of mean.
The (1 - <em>α</em>)% confidence interval for population parameter implies that there is a (1 - <em>α</em>) probability that the true value of the parameter is included in the interval.
Or, the (1 - <em>α</em>)% confidence interval for the parameter implies that there is (1 - <em>α</em>)% confidence or certainty that the true parameter value is contained in the interval.
The 95% confidence interval for the mean number of chocolate chips per cookie is (18.6, 21.3).
This 95% confidence interval implies that there is a 0.95 probability that the true mean number of chocolate chips per cookie is between 18.6 and 21.3.
Thus, the correct option is:
"We are 95% certain that the confidence interval of 18.6 to 21.3 includes the true average number of chocolate chips per cookie. "