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BabaBlast [244]
3 years ago
6

A study on students drinking habits asks a random sample of 60 male uf students how many alcoholic beverages they have consumed

in the past week. The sample reveals an average of 5. 84 alcoholic drinks, with a standard deviation of 4. 98. Construct a 95% confidence interval for the true average number of alcoholic drinks all uf male students have in a one week period.
Mathematics
1 answer:
umka2103 [35]3 years ago
8 0

Answer:

Using the t-distribution, the 99% confidence interval for the true average number of alcoholic drinks all UF female students (over 21) have in a one week period is (3.25, 4.85).

We have the standard deviation for the sample, thus, the t-distribution is used to solve this question.

First, we find the number of degrees of freedom, which is the sample size subtracted by 1, thus:

Then, using a calculator, with  and 169 df, we have that the two-tailed critical value is .

The margin of error is:

In this problem, , then:

The confidence interval is:

In this problem, , then:

The confidence interval is (3.25, 4.85).

Step-by-step explanation:

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Is 8/9 bigger than 2/3
o-na [289]

Answer:

Yes!

Step-by-step explanation:

8/9 is equal to .888889 while 2/3 is equal to .66667.

3 0
4 years ago
Read 2 more answers
Find the area of the surface. the part of the sphere x2 + y2 + z2 = 81 that lies above the plane z = 5.
IRISSAK [1]
<span>Here, we only need the upper hemisphere:
z = √(36 - x^2 - y^2).

Note that the cone and sphere intersect at z^2 + z^2 = 36 ==> z = √18
==> The region of integration is x^2 + y^2 + 18 = 36 ==> x^2 + y^2 = 18.

So via Cartesian Coordinates, the surface area equals
∫∫ √[1 + (z_x)^2 + (z_y)^2] dA
= ∫∫ √[1 + (-x/√(36 - x^2 - y^2))^2 + (-y/√(36 - x^2 - y^2))^2] dA
= ∫∫ √[1 + (x^2 + y^2)/(36 - x^2 - y^2)] dA
= ∫∫ √[36/(36 - x^2 - y^2)] dA
= ∫∫ 6 dA/√(36 - x^2 - y^2).

Converting to polar coordinates yields
∫(θ = 0 to 2π) ∫(r = 0 to √18) 6r dr dθ/√(36 - r^2)
= 2π ∫(r = 0 to √18) 6r(36 - r^2)^(-1/2) dr
= 2π * -3 * 2√(36 - r^2) {for r = 0 to √18}
= 12π (6 - 3√2)
= 36π (2 - √2).

I hope this helps! </span>
7 0
4 years ago
WikiTongues has
konstantin123 [22]

Hey there! I'm happy to help!

We see that 500 languages is a certain percent of the 7,111 total languages. When working with percent equations, the word "is" means "equals", and "of" usually means "multiplied by" This means that 500 is equal to a certain percent multiplied by 7,111. We can use p to represent this certain percent and create an equation below.

500=7,111p

Let's flip the equation around so the p is on the left side. Variables are usually supposed to be on the left.

7,111p=500

We divide both sides by 7,111.

p=0.0703

As a percent, this is about 7.03%. Therefore, about 7.03% of the total languages spoken globally are represented on WikiTongues.

I hope that this helps! Have a wonderful day! :D

3 0
3 years ago
Read 2 more answers
Translate: "The product of 8 and a number, b, is taken away from 24"
goblinko [34]
24-8b
24-(8*b)
i don’t know the exact way it is written on your test but it is something along those lines
7 0
3 years ago
What is the lcm and hcf of 1/3 and 2/9
Blababa [14]

Step-by-step explanation:

1/1 , 3

3/1 , 3

1 , 1

HCF is 1

LCM is 3 × 1 =3

2/2 , 9

3/1 , 9

3/1 , 3

1 , 1

HCF is 1

LCM is 3 × 3 × 2= 18

6 0
3 years ago
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