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Svetradugi [14.3K]
3 years ago
5

A store sells 24 greeting cards for $12.

Mathematics
1 answer:
stich3 [128]3 years ago
3 0

Answer:

D

Step-by-step explanation:

SOO SORRY I EDITED THIS BC A WAS WRONG I MISREAD

if 24 cards = $12, 1 card = $2 (24 / 12)

dozen = 12

if half of 24 is 12, and 24 cards cost $12, half of 12 is 6. same goes for the price. $12 / 2 = 6.

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Obtain the required confidence interval for the difference between two population proportions. Assume that independent simple ra
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Answer:

The 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

Step-by-step explanation:

The formula for confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

From the question

We have two groups.

Group 1 = For women

A survey found that 37 of 74 randomly selected women

p1 = x/n1

n1 = 74

x1 = 37

p1 = 37/74

p1 = 0.5

Group 2 = For Men

A survey found out that 47 of 74 randomly selected men follow a regular exercise program

p2 = x/n1

n2= 74

x2 = 47

p2 = 47/74

p2 = 0.6351351351 ≈ 0.635

z = z score for 95% Confidence Interval = 1.96

The confidence interval for the difference between the proportions is given as:

p1 - p2 ± z × √p1 (1 - p1)/n1 + p2(1 - p2)/n2

0.5 - 0.635 ± 1.96 × √0.5 (1 - 0.5)/74 + 0.635(1 - 0.635)/74

-0.135 ± 1.96 × √(0.5 × 0.5)/74 + (0.635× 0.365)/74

-0.135 ± 1.96 × 0.08068750209663572

-0.135 ± 0.158147504109406

Hence:

= -0.135 - 0.158147504109406

= -0.2931475041

Approximately = -0.293

= -0.135 + 0.158147504109406

= 0.0231475041

Approximately = 0.023

Therefore, the 95% confidence interval for the difference between the proportions of women and men who follow a regular exercise program = ( -0.293, 0.023)

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"when the population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal
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<span>The population standard deviation is unknown, sample size is less than 30, and the population has a normal or near-normal distribution</span>.
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4 0
3 years ago
The Basketball Boosters Club plans a pancake supper to raise $1,200. They can serve 240 people. They
wolverine [178]

\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}

let the number of

  • adults be x

  • children be y

Total number of people : adults + children

  • x + y = 240

  • x = 240 - y - [1]

Total money earned from adults :

  • 6 × x = 6x

Total money earned from children :

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Therefore, total money = money earned from each Adult and children.

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Now, let's plug the value of x from equation [1] into equation [2]

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let's plug the value of y in equation [1]

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Hence, we get :

  • total adults = x = 180

  • total children = y = 60

Correct option is C

_____________________________

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What is the least common multiple of 9 and 8
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Answer:

72 is the least common multiple

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