Given GK = XZ and GH = XY, which statement must be true? m∠G > m∠X m∠G < m∠X HG = XZ HK = YZ
2 answers:
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Answer:
x = 18√3
Step-by-step explanation:
From the picture attached,
In a right triangle,
Measure of one angle = 30°
Measure of adjacent side of the angle = 9 units
We have to find the measure of Hypotenuse from the given properties.
By cosine rule,
cos(30°) =
Therefore, measure of Hypotenuse is 18√3 units.
Answer:
The Supersmack gum has a volume of cm^3 or
cm^3. So, Supersmack's cylindrical bubble gum has more actual gum than the Megapop gumball
Step-by-step explanation:
Assuming that the radius of the Megapop gumball is 1.5 (the same diameter as Supersmack)
The volume of the cylinder's equation can be written as
This simplifies to
cm^3 or
cm^3
The volume of the gumball's equation can be written as
This simplifies to
cm^3 or
cm^3
The Supersmack gum has a volume of cm^3 or
cm^3. So, Supersmack's cylindrical bubble gum has more actual gum than the Megapop gumball
Answer:
a) Point estimate p=0.43.
b) The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).
c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.
d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below 0.5 (or 50%).
Step-by-step explanation:
a) A point estimate can be calculated using the sample results and dividing the amount of female workers in the sample by the sample size:
b) We have to calculate a 95% confidence interval for the proportion.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion of female workers in US is (0.388, 0.473).
c) This confidence interval tells us that, with 95% confidence, the true proportion of females in the U.S. labor force is within 0.388 and 0.473.
d) We can conclude that females do not make up a majority of the US labor force, because we can claim, with 95% confidence, that the true proportion of female workers is under 0.473, which is below the 50%.
If the confidence interval have included the value 0.5, we could not be sure (with 95% confidence) that female workers do not represent de majority, as there would be possibility that the true proportion is 0.5.