Answer:
The measure of m∠KNY is;
(D) 105°
Step-by-step explanation:
From the diagram, we have;
The given angle at the circumference = The The angle the arcs makes at the center of the circle
From circle, theorem, angle subtended at the center = Twice the angle subtended at the circumference
Therefore;
Angle ∠D and angle ∠Y = 90°/2 = 45°
Angle ∠O and angle ∠K = 60°/2 = 30°
From angle summation theorem, we have;
m∠KNY + ∠K + ∠Y = 180° (The sum of the interion angles in ΔYNK
∴ m∠KNY = 180° - (∠K + ∠Y)
Plugging in the known values of ∠K and ∠Y gives;
m∠KNY = 180° - (30° + 45°) = 105°
m∠KNY = 105°.
3, because negative numbers are less than positive numbers. Therefore, 3 is correct
Answer:
a) Statistic.
b) The population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Step-by-step explanation:
a) The proportion of 30% is a statistic, as it is a value that summarizes data only from the sample taken in the study from USA Today. Other samples may yield different proportions.
b) We can use the statistic to estimate a confidence interval for the parameter of the population.
The standard error for the proportion is calculated as:

The margin of error is 0.01. We can use this value to determine the level of confidence that represents.
The formula for the margin of error is:

This z-value, according to the the standard normal distribution, corresponds to a confidence interval of 94%.
The interval for this margin of error is:

Then, we can conclude that the population proportion is expected to be between 0.29 and 0.31 with a 94% degree of confidence.
Concept
Quotient the number obtained by dividing one number by another Dividing 10 by 5 gives a quotient of 2.
Answer:
374.83
Step-by-step explanation:
the rectangular prism is 240 and the triangular prism is 134.83
A=2(wl+hl+hw)=2·(6·6+7·6+7·6)=240
and i looked up the triangular one