The difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
Given that a survey found that in a sample of 75 families, 26 owned dogs, while a survey done 15 years ago found that in a sample of 60 families, 26 owned dogs, to find the 95% confidence intervals of the true difference in the proportions, the following calculation must be performed:
- 75 = 100
- 26 = X
- 26 x 100/75 = X
- 34.66 = X
- 34.66 x 0.95 = 32.93
- 34.66 x 1.05 = 36.40
-
60 = 100
- 26 = X
- 26 x 100/60 = X
- 43.33 = X
- 43.33 x 0.95 = 41.16
- 43.33 x 1.05 = 45.50
-
45.50 - 32.93 = 12.57
- 41.16 - 36.40 = 4.76
Therefore, the difference in the proportions of both surveys goes from a maximum of 12.57% to a minimum of 4.76%.
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Answer:
Answer is D
Step-by-step explanation:
Answer:x = 2
Step-by-step explanation:
Simplifying
3(x + -4) = 2(-2x + 1)
Reorder the terms:
3(-4 + x) = 2(-2x + 1)
(-4 * 3 + x * 3) = 2(-2x + 1)
(-12 + 3x) = 2(-2x + 1)
Reorder the terms:
-12 + 3x = 2(1 + -2x)
-12 + 3x = (1 * 2 + -2x * 2)
-12 + 3x = (2 + -4x)
Solving
-12 + 3x = 2 + -4x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4x' to each side of the equation.
-12 + 3x + 4x = 2 + -4x + 4x
Combine like terms: 3x + 4x = 7x
-12 + 7x = 2 + -4x + 4x
Combine like terms: -4x + 4x = 0
-12 + 7x = 2 + 0
-12 + 7x = 2
Add '12' to each side of the equation.
-12 + 12 + 7x = 2 + 12
Combine like terms: -12 + 12 = 0
0 + 7x = 2 + 12
7x = 2 + 12
Combine like terms: 2 + 12 = 14
7x = 14
Divide each side by '7'.
x = 2
Simplifying
x = 2
Answer:
Step-by-step explanation:
A) $51.5
B) two children tickets
Step-by-step explanation:
Given that the cost of admission for the Flemington Aquarium is $11.50 for each senior citizen, $14.75 for each adult and $7.25 for each child.
The cost of admission for the family of 3 adults and 1 child will be
(3 × 14.75) + (1 × 7.25)
44.25 + 7.25 = 51.5 dollars
What if two more tickets for admission are purchased for a total of $14.50?
Since there is no ticket of that amount, we can determine what type of tickets the family purchases by taking the amount of child tickets away from the amount. That is
14.5 - 7.25 = 7.25
The remaining money amount to child ticket again. We can therefore conclude that the two more tickets for admission purchased for a total of $14.50 are for 2 children tickets
hope this helped<3!!
