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Angelina_Jolie [31]

3 years ago

12

Jimin wants to know whether if there is a difference in proportion of people who like mint chocolate chip-flavored ice cream bet

ween Americans and Koreans. She takes a random sample of 46 Americans and find that 30 of them like the flavor, and then she takes a random sample of 53 Koreans and find that 24 of them like the flavor. For a 95% confidence interval of the true difference in proportion of people who like this ice cream flavor, what is the margin of error (MOE)

1 answer:

topjm [15]3 years ago

4 0

Answer:

5hj

m5Step-by-step explanation:

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For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a tot

sveta [45]

Answer:

the cost of 1 full price ticket is $9.5

Step-by-step explanation:

For the last showing of a movie, a theater sold full-price and discount tickets,the theater sold 130 full-price ticket for a total of $1235 the total sales both types of tickets were $2395

Let x be the number of full price tickets and y be the number of discount tickets

the theater sold 130 full-price ticket for a total of $1235 the total sales

130 full price tickets sold for $1235

the cost of 1 full price ticket is

$\frac{1235}{130}=9.5$

the cost of 1 full price ticket is $9.5

4 0

3 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

Nick had 3 1/4 bottles of water for his wrestling practice. When he finished he had 1 2/4 bottles of water left. He said he used

sweet-ann [11.9K]

1 2/4+2 1/4 ≠ 3 1/4 but 1 2/4+2 1/4 = 3 3/4

7 0

3 years ago

Descubra a lei ou regra da função do tipo f(x) = ax + bx + c no gráfico

Sholpan [36]

Ajisicjfbrhwhshsidudhdbbwbwbwhwjsihdd

7 0

3 years ago

Enter an equation in point-slope form for the line.

NISA [10]

Answer:

y + 1 = 3(x + 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 8, - 1) , thus

y - (- 1) = 3(x - (- 8)), that is

y + 1 = 3(x + 8)

8 0

3 years ago

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