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Sophie [7]
1 year ago
13

A 2001 study asked 1,924 male and 3,666 female undergraduate college students their favorite color. A 95% confidence interval fo

r the difference between the proportions of males and females whose favorite color is black (pmale − pfemale) was calculated to be (0.02, 0.06). Based on this information, determine if the following statements are true or false.
The 95% confidence interval for (pfemale − pmale) cannot be calculated with the given information.

Answer False or True
95% of random samples will produce 95% confidence intervals that include the true difference between the population proportions of males and females whose favorite color is black.

Answer False or True
We are 95% confident that the true proportion of males whose favorite color is black is 2% lower to 6% higher than the true proportion of females whose favorite color is black.

Answer False or True
Mathematics
1 answer:
Mashcka [7]1 year ago
5 0
The answer is false
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In the isosceles △ABC m∠ACB=120° and AD is an altitude to leg BC . What is the distance from D to base AB , if CD=4cm?
7nadin3 [17]

Correct answer is: distance from D to AB is 6cm

Solution:-

Let us assume E is the altitude drawn from D to AB.

Given that m∠ACB=120° and ABC is isosceles which means

m∠ABC=m∠BAC = \frac{180-120}{2}=30

And AC= BC

Let AC=BC=x

Then from ΔACD , cos(∠ACD) = \frac{DC}{AC} =\frac{4}{x}

Since DCB is a straight line m∠ACD+m∠ACB =180

                                              m∠ACD = 180-m∠ACB = 60

Hence cos(60)=\frac{4}{x}

          x=\frac{4}{cos60}= 8

Now let us consider ΔBDE, sin(∠DBE) = \frac{DE}{DB} =\frac{DE}{DA+AB} = \frac{DE}{4+8}

DE = 12sin(30) = 6cm

7 0
2 years ago
Last Saturday they were 1486 people at the Cineplex. There were about the same number of people in each of the six theaters. Bet
padilas [110]
When you do 1486x6 it equals 8,916
4 0
1 year ago
A plot of land is in the shape of a square. The shaded square inside is covered with gravel. the rest of the square plot is cove
aleksklad [387]
This is how you do the math to get it.

6 0
1 year ago
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Triangle G E F is shown. Angle G E F is a right angle. The length of hypotenuse F G is 14.5 and the length of F E is 11.9. Angle
jekas [21]

Answer:

B. cos−1(StartFraction 11.9 Over 14.5 EndFraction) = θ

Step-by-step explanation:

From definition:

cos(θ) = adjacent/hypotenuse

The adjacent side respect angle GFE (or θ) is side FE, and side FG is the hypotenuse. Replacing with data and isolating θ:

cos(θ) = 11.9/14.5

θ = cos^-1(11.9/14.5)

3 0
1 year ago
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Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8
Paha777 [63]

Answer:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

Step-by-step explanation:

tan−1(StartFraction 6.9 Over 9.8 EndFraction)

tan = opp/adj = 9.8/6.9

tan -1 = 1 / tan = 1 / (9.8 /6.9) = 6.9 /9.8

4 0
1 year ago
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