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11Alexandr11 [23.1K]
3 years ago
13

You have 128 ounces of milk and drink 16 ounces per day. What algebraic expression models the amount of milk you have? Let x equ

al the amount of days
Mathematics
1 answer:
Lorico [155]3 years ago
6 0
128 - 16x

this basically states that u start with 128 oz....and u drink 16 oz for  x number of days
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Assuming that the population is normally​ distributed, construct a 9090​% confidence interval for the population mean for each o
jasenka [17]

Given:

Set A: 1 4 4 4 5 5 5 8

Mean: 4.5

Standard dev: 1.9

 

Set B:

Mean: 4.5

Standard dev: 2.45

 

% =  90 

Set A:

Standard Error, SE = s/ √n =    1.9/√8 = 0.67  

Degrees of freedom = n - 1 =   8 -1 =  7   

t- score =  1.89457861

<span> <span><span> <span>   </span> </span> </span></span>

Width of the confidence interval = t * SE =     1.89457861* 0.67 = 1.272685913

Lower Limit of the confidence interval = x-bar - width =      4.5 - 1.272685913 = 3.23

Upper Limit of the confidence interval = x-bar + width =      4.5 + 1.272685913 = 5.77

The 90% confidence interval is [3.23, 5.77]

 

Set B:

Standard Error, SE = s/ √n =    2.45/√8 = 0.87  

Degrees of freedom = n - 1 =   8 -1 = 7   

t- Score =  1.89457861

<span> <span><span> <span>   </span> </span> </span></span>

Width of the confidence interval = t * SE =     1.89457861* 0.87 = 1.641094994

Lower Limit of the confidence interval = x-bar - width =      4.5 - 1.641094994 = 2.86

Upper Limit of the confidence interval = x-bar + width =      4.5 + 1.641094994 = 6.14

The 90% confidence interval is [2.86, 6.14]

 

<span>We can obviously see that sample B has more variation in the scores than sample A. The fact that the standard deviation is 2.45 for B and 1.9 for A). Therefore, they yield dissimilar confidence intervals even though they have the same mean and range.</span>

6 0
3 years ago
Help me classify the triangles by its sides and measuring its angles :) ​
barxatty [35]

Answer:

Triangle 1 : isosceles triangle

Triangle 2 : Right Triangle

Step-by-step explanation:

5 0
3 years ago
Solve the inequality 12(1/2x-1/3)&gt;8-2x
gizmo_the_mogwai [7]

Answer:8(1/2x - 1/4)> 12 - 2x

a.x > 7

b.x > 7/3

c.x > 5/3

d.x > 5/3

Step-by-step explanation: Solve the inequality 12(1/2x-1/3)>8-2x

3 0
3 years ago
Which team has the mode with the highest score?
Andrei [34K]
Team B has a mode of 60, which is the highest mode of all three teams. Team A has a mode of 48 and Team C has a mode of 30. Mode is the number that occurs most frequently in the set of data.
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3 years ago
245 is a natural numbers, whole numbers, integers, rational numbers, irrational numbers, or real numbers?
koban [17]

Answer: Everything but "irrational number"

================================================

Explanation:

The number 245 is a natural number since the set of natural numbers is {1, 2, 3, 4, 5, 6, ...} basically the set of counting numbers. More technically, the set of natural numbers is the set of positive whole numbers.

The number 245 is also an integer. It does not have any decimal or fractional parts. The set of integers includes negative whole numbers as well.

The number 245 is a whole number for similar reasoning as it being an integer.

The number 245 is a rational number. Why? Because we can write 245 as 245/1. In other words, 245 = 245/1. Because we can form a fraction of two integers, this shows us 245 is rational. Note: 0 cannot be in the denominator.

The number 245 is NOT an irrational. If a number is rational, then it cannot be irrational. The very definition of "irrational" means "not rational". An example of an irrational number is sqrt(2). We cannot write this as a fraction of two integers.

The number 245 is a real number. If you haven't learned about complex numbers yet, then every number you encounter is a real number.

----------

To summarize, 245 is a natural number, a whole number, an integer, a rational number, and a real number.

A much shorter way to say this is "everything but irrational" since irrational is the only non-answer.

7 0
3 years ago
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